 2*n + 12. Suppose 6 = 5*s - i - 4, i = -k*s + 4. Solve s*x - 3*x - 2 - 2*x + 9*x**2 = 0 for x.
-1/3, 2/3
Let s(b) be the second derivative of b**5/210 - b**2 + b. Let x(h) be the first derivative of s(h). Determine l so that x(l) = 0.
0
Suppose 11*q = 6*q + 15. Suppose -9*t**2 + 13*t - 13*t + 3*t**q = 0. What is t?
0, 3
Let v(q) be the first derivative of q**7/12 + q**6/12 - q**5/20 + q + 2. Let w(x) be the first derivative of v(x). Suppose w(p) = 0. Calculate p.
-1, 0, 2/7
Let u(p) = -3*p**2 - 40*p - 50. Let c(g) = g**2 + 20*g + 25. Let d(v) = 13*c(v) + 6*u(v). Factor d(b).
-5*(b - 5)*(b + 1)
Let d(g) = -2*g - 8. Let m be d(-6). Suppose -s - 13 = -2*s + 4*q, m*s - 5*q = 30. What is n in 7*n**3 + 11*n**2 + 0*n**2 + 4*n + s*n**2 = 0?
-2, -2/7, 0
Let h = 61/21 + -55/21. Factor 0 - 3/7*u**3 - 1/7*u**4 + h*u + 1/7*u**5 + 1/7*u**2.
u*(u - 2)*(u - 1)*(u + 1)**2/7
Let k(r) be the third derivative of 0*r**3 + 1/30*r**6 + 0*r**5 + 0*r**4 + 0*r - 4*r**2 + 0. Factor k(a).
4*a**3
Let y(l) be the first derivative of 2 + 0*l**2 - 4/55*l**5 - 1/22*l**4 + 0*l**3 - 1/33*l**6 + 0*l. Factor y(k).
-2*k**3*(k + 1)**2/11
Let i(q) = -q**2 - 3*q - 2. Let l(x) = -x - 1. Let p(g) = -i(g) + 5*l(g). Factor p(o).
(o - 3)*(o + 1)
Suppose -d = -2*d + 12. Let n be (-3)/(3/d + -1). Factor 4/11*y**2 + 0*y**3 - 4/11*y**n + 2/11*y + 0 - 2/11*y**5.
-2*y*(y - 1)*(y + 1)**3/11
Let d(j) = -21*j**2 - 57*j - 111. Let o(t) = -3*t**2 - 8*t - 16. Let i(v) = -4*d(v) + 27*o(v). Factor i(q).
3*(q + 2)**2
Let c(o) be the first derivative of 7/3*o**3 - 7/2*o**2 - 1 + 2*o - 1/2*o**4. Let c(y) = 0. Calculate y.
1/2, 1, 2
Let w be (-22)/(-21) + (-4)/(-14). Let s(u) be the second derivative of -1/6*u**4 - 4*u**2 + u - w*u**3 + 0. Factor s(r).
-2*(r + 2)**2
Let h be (-6)/(-6)*2/4. Let p(l) be the first derivative of -h*l**4 + 1 + 0*l**2 + 0*l**3 + 0*l + l**5 - 1/2*l**6. Let p(v) = 0. What is v?
0, 2/3, 1
Let p(v) be the third derivative of -3*v**8/14 - 19*v**7/105 + v**6/4 - v**5/15 - 10*v**2. Determine n, given that p(n) = 0.
-1, 0, 2/9, 1/4
Let v(f) be the first derivative of 1/8*f**4 - 1/2*f**3 - f - 2 + 1/10*f**5 - 5/4*f**2. Factor v(h).
(h - 2)*(h + 1)**3/2
Let j(h) be the third derivative of 1/10*h**6 + 5/6*h**4 - 2/3*h**3 + 3*h**2 + 0 - 7/15*h**5 + 0*h. Factor j(f).
4*(f - 1)**2*(3*f - 1)
Let g(i) be the first derivative of i**5 + 5*i**4/4 - 14. Suppose g(r) = 0. What is r?
-1, 0
Let q(f) be the first derivative of 1/2*f**2 + 1/3*f**3 - 1/5*f**5 - 1/4*f**4 + 0*f - 3. Let q(t) = 0. What is t?
-1, 0, 1
Suppose -2*p = 2*p + 1196. Let b = p - -3293/11. Solve 6/11*w - 2/11*w**2 - b = 0.
1, 2
Let x be (55/(-60))/(2/(-6)). Find o, given that x*o + 1/2 + 9/4*o**2 = 0.
-1, -2/9
Let a(q) = 3*q**3 + 3*q**2 + 3*q + 3. Let n(b) = -4*b**3 - 4*b**2 - 3*b - 3. Let i(t) = 7*a(t) + 6*n(t). Let i(f) = 0. Calculate f.
-1, 1
Let b(u) be the first derivative of 2/9*u**2 + 2/9*u + 2/27*u**3 + 4. Factor b(d).
2*(d + 1)**2/9
Let d(a) = -6*a**2 - 22*a - 12. Let w(x) = -11*x**2 - 43*x - 22. Let l(y) = -5*d(y) + 3*w(y). Factor l(v).
-(v + 6)*(3*v + 1)
Suppose -2*d - i = -7 - 7, 0 = d + 2*i - 13. Suppose -d - 5 = -5*c. Solve -1/2*l**c - 1/2 + l = 0.
1
Let x(v) be the third derivative of v**7/140 + 9*v**6/160 + 7*v**5/40 + 9*v**4/32 + v**3/4 - 14*v**2. Determine c so that x(c) = 0.
-2, -1, -1/2
Let t(v) = 3*v**2 + 2*v. Let q(g) = g - 10*g**2 + 24*g**2 - 13*g**2. Let u(h) = 5*q(h) - 2*t(h). Determine f, given that u(f) = 0.
0, 1
Suppose 5*r - 5 = -5*t, 26 = r - 0*t - 4*t. Suppose 3*i - i - r = 0. Let -f**2 - f**2 + 2*f**i - 6*f**4 - 10*f**3 = 0. Calculate f.
-1, -1/3, 0
Let x = 5 - 3. Find y such that -2 + 2*y**2 - 5*y**2 + x = 0.
0
Let c(x) be the second derivative of -x**6/15 + x**5/10 - 6*x. Factor c(h).
-2*h**3*(h - 1)
Let t be (-3)/15 - (-3622)/(-190). Let n = 2942/133 + t. Factor -n*p**4 + 4/7 + 20/7*p**3 + 6/7*p**5 - 10/7*p + 0*p**2.
2*(p - 1)**4*(3*p + 2)/7
Let v(l) be the third derivative of l**5/8 + 9*l**4/32 + l**3/4 - 4*l**2. Factor v(c).
3*(2*c + 1)*(5*c + 2)/4
Suppose 3*i = h + 9, 0*i - 5*h + 27 = 3*i. Factor 0 - 2/3*x**2 - 2*x**3 - 2/3*x**5 - 2*x**i + 0*x.
-2*x**2*(x + 1)**3/3
Suppose 2*y + 2 = 6. Suppose 2*p - 2 = y. Factor 0 - 1/4*b + 1/4*b**p.
b*(b - 1)/4
Suppose 0 = -2*q - 5*s + 29, -q - 4*s + 18 = -2*q. Let b be 4/6*q/4. Suppose -3 - b*o**2 + 2*o = 0. What is o?
3
Let y(p) be the third derivative of 0*p + 1/720*p**6 + 0*p**5 + 4*p**2 + 1/1260*p**7 + 0*p**3 + 0*p**4 + 0. Factor y(d).
d**3*(d + 1)/6
Find i such that -5*i**2 + 5*i**2 - 10*i**3 + 4*i**5 + 5*i**4 + i**5 = 0.
-2, 0, 1
Factor -5*i**2 - 10*i + 0*i - 5*i.
-5*i*(i + 3)
Let -2/5*n**3 - 4/5*n**2 + 0 + 2/5*n**4 + 0*n = 0. Calculate n.
-1, 0, 2
Determine j, given that 24*j - 9 + 35*j**2 + j**4 - 53*j**2 + 2*j**4 = 0.
-3, 1
Let o = 0 + 3. Suppose -o*k - 3 = -4*k. Determine v, given that 0*v + 2/7 + 0*v**k + 2/7*v**4 - 4/7*v**2 = 0.
-1, 1
Factor 17*f**2 + 45*f**2 + 46*f**3 + 8*f - 9*f**3 + 7*f**4 - 24*f**2.
f*(f + 1)*(f + 4)*(7*f + 2)
Let k be (-1)/(-2)*(0 - -6). Suppose -13 = -m - 4*m + 2*h, 3*m + k*h = 12. What is x in 3*x**3 - 3*x + 3*x**2 - 2*x**m - 2 + 3*x**3 - 2*x**3 = 0?
-2, -1/2, 1
Let n(g) be the second derivative of 7/6*g**4 + 4/5*g**5 + 1/5*g**6 + 0 - 3*g + 0*g**2 + 2/3*g**3. Let n(r) = 0. Calculate r.
-1, -2/3, 0
Let u(j) = 31*j + 1. Let a(f) = f - 1. Let g(i) = 2*a(i) + u(i). Let w be g(1). Suppose 48*b**2 + 21*b + 2 + 3*b - 6*b + w*b**3 = 0. What is b?
-1, -1/4
Suppose 3*s - 1 + 13 = 0. Let d(v) = -v**2 - v - 6. Let r(n) = n**2 + 1. Let q(z) = s*r(z) - d(z). Factor q(h).
-(h - 1)*(3*h + 2)
Let o(d) be the first derivative of d**4/20 - 3*d**2/10 + 2*d/5 + 17. Suppose o(c) = 0. What is c?
-2, 1
Let b = 45474/19901 - -2/2843. Solve 0 + 8/7*w - 10/7*w**4 + b*w**2 - 2*w**3 = 0.
-2, -2/5, 0, 1
Let v = 57 - 341/6. Let b(d) be the second derivative of 0*d**2 + 2*d - 1/12*d**4 + 0 + v*d**3. Find q, given that b(q) = 0.
0, 1
Let f(h) = h**3 - 11*h**2 + 11*h - 6. Let m be f(10). Factor -6*u**4 - 2*u**2 - m*u**3 + 2*u**4 + 4*u + 6*u**4.
2*u*(u - 2)*(u - 1)*(u + 1)
Let k(y) = -y + 7. Let x be k(4). Factor l**2 + 15*l**3 + 2*l**2 + 3*l**2 + 12*l**4 - x*l**2.
3*l**2*(l + 1)*(4*l + 1)
Let v(w) be the second derivative of -w**7/6300 - w**6/600 - w**5/150 + w**4/12 - 3*w. Let a(c) be the third derivative of v(c). Find j such that a(j) = 0.
-2, -1
Let y(q) be the first derivative of q**5/100 + 3*q**4/40 + q**3/5 - 3*q**2/2 - 1. Let s(g) be the second derivative of y(g). Factor s(f).
3*(f + 1)*(f + 2)/5
Let s = -1238 + 1240. Factor 1/3*p**5 + 0*p**3 - 2/3*p**s + 2/3*p**4 + 0 - 1/3*p.
p*(p - 1)*(p + 1)**3/3
Let u(c) = -1. Let a(t) = 15*t**3 + 40*t**2 + 35*t + 4. Let v(k) = a(k) - 6*u(k). Factor v(h).
5*(h + 1)**2*(3*h + 2)
Let o(m) = 2 + 23*m**3 - m**2 - m - 24*m**3 - 1. Let f(v) = 4*v**3. Let s(x) = f(x) + 2*o(x). Factor s(z).
2*(z - 1)**2*(z + 1)
Let w(s) = -3*s**4 + 21*s**3 + 3*s**2 - 21*s - 9. Let l(x) = x**4 - 5*x**3 - x**2 + 5*x + 2. Let i(o) = -9*l(o) - 2*w(o). Let i(n) = 0. Calculate n.
-1, 0, 1
Let v(z) = z**3 + 7*z**2 + 4*z + 4. Let f be v(-6). Let u(j) = j**2 - 2*j + 1. Let t be u(3). Factor -o**5 + f*o**3 - 2*o**t - 6*o**3 - 11*o**3.
-o**3*(o + 1)**2
Suppose -4*c + c = 3. Let w(j) = 3*j**2. Let g be w(c). Factor -4/9*u + 4/9*u**g + 0*u**2 - 2/9 + 2/9*u**4.
2*(u - 1)*(u + 1)**3/9
Suppose 36 = -5*g - 4. Let n be (-3)/g*8/2. Factor 0 - 1/2*y**2 + 0*y - n*y**3 + 2*y**4.
y**2*(y - 1)*(4*y + 1)/2
Let l(x) be the second derivative of -2*x**7/189 - 2*x**6/135 + x**5/45 + x**4/27 - 14*x. Factor l(d).
-4*d**2*(d - 1)*(d + 1)**2/9
Determine b, given that -3/2*b**3 + 27/2 + 21/2*b**2 - 45/2*b = 0.
1, 3
Let j(h) be the first derivative of -h**8/2800 + h**6/200 + h**5/100 + 5*h**3/3 - 2. Let v(y) be the third derivative of j(y). Factor v(o).
-3*o*(o - 2)*(o + 1)**2/5
Factor -10/23*v**3 + 0*v + 2/23*v**4 + 0 + 8/23*v**2.
2*v**2*(v - 4)*(v - 1)/23
Suppose -5*n + 29 = -3*m, m - 6 = 3*m. Suppose 4*v = -4*d + 16, -2*v = -n*d + 2*d. Let -2*t**3 + 0*t - 2/3*t**d - 2/3*t**5 - 2*t**4 + 0 = 0. Calculate t.
-1, 0
Let g(u) be the first derivative of u**5/90 + u**4/54 - u**3/27 - u**2/9 + u - 3. Let n(k) be the first derivative of g(k). Factor n(a).
2*(a - 1)*(a + 1)**2/9
Let l = -45 + 45. What is z in 1/4*z**3 + 0 + 0*z**4 + l*z - 1/4*z**5 + 0*z**2 = 0?
-1, 0, 1
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