ctor -2/13*p + 0 + g*p**2.
2*p*(p - 1)/13
Let h(b) be the first derivative of 3*b**5/10 - 47*b**4/24 + 41*b**3/9 - 13*b**2/3 + 4*b/3 + 8. Suppose h(q) = 0. Calculate q.
2/9, 1, 2
Suppose f - 31 = r, r - 128 = -4*f + 3*r. Let l be 4/(-12)*(1 - f). Let l*q - 16/3 - 1/3*q**4 + 8/3*q**3 - 8*q**2 = 0. Calculate q.
2
Let s(y) be the first derivative of -y**6/2 - 3*y**5 - 15*y**4/2 - 10*y**3 - 15*y**2/2 - 3*y - 2. Factor s(o).
-3*(o + 1)**5
Suppose -2*h - 2 + 8 = 0. Suppose 3*s + 1 - 7 = 0. Factor 0 - 1/6*n + 1/6*n**h + 0*n**s.
n*(n - 1)*(n + 1)/6
Factor 5/4*i**2 + 4*i + 1 - 7/4*i**3.
-(i - 2)*(i + 1)*(7*i + 2)/4
Let n(r) be the first derivative of 0*r**3 + 1/27*r**6 - 1/18*r**4 + 0*r**2 + 2 + 0*r**5 + 0*r. Determine a so that n(a) = 0.
-1, 0, 1
Let o be 2 - 3/(21/(-7)). Factor 0 - 4/3*r**2 - 4/3*r**o - 1/3*r**4 + 0*r.
-r**2*(r + 2)**2/3
Let w(a) be the first derivative of 0*a**3 - 3/80*a**5 - 1/8*a**4 - 3 - 3*a + 0*a**2. Let l(y) be the first derivative of w(y). Find q, given that l(q) = 0.
-2, 0
Factor -3*o**2 - 4*o - 3*o**2 + 8*o**3 - 10*o**3.
-2*o*(o + 1)*(o + 2)
Let x be -1*(-2 + (-1 - -4)). Let s be (1 + (-16)/2)/x. Factor -2*q**2 + s - 7 + 2*q.
-2*q*(q - 1)
Suppose -5*y = o - 4*y - 4, -o + y = -2. Solve 2*c + 0*c**2 + o*c**2 + 0*c**2 - 1 = 0.
-1, 1/3
Let r(y) be the second derivative of -5*y**7/21 + 13*y**6/15 + 3*y**5/5 - 10*y**4/3 - 8*y**3/3 + 15*y. Suppose r(g) = 0. Calculate g.
-1, -2/5, 0, 2
Let k(a) be the first derivative of 1 - 2/7*a + 4/21*a**3 + 1/7*a**2 - 2/35*a**5 - 1/7*a**4 + 1/21*a**6. Find o, given that k(o) = 0.
-1, 1
Let c be (10/(-6))/(1 + (-8)/4). Let u(l) be the first derivative of c*l**3 - 1/4*l**4 + 1 - 9*l - 3/2*l**2. Factor u(x).
-(x - 3)**2*(x + 1)
Let t = 22 - 65/3. Find u, given that 0*u - t*u**2 + 0 + 1/3*u**3 = 0.
0, 1
Suppose -r + 3*j = -0*r + 12, -4*r - 3*j = -27. Suppose 5*y + 14 = 2*c, 5*c - 2*y = r*y + 20. Factor 2*u**3 - c - u**4 + 3 - u**2 - 1.
-u**2*(u - 1)**2
Let -1/4*u**2 + 1/2*u + 0 = 0. Calculate u.
0, 2
Let p = 2/7 + -5/21. Let n(u) be the second derivative of -3*u - 3/70*u**5 + p*u**3 + 0 + 0*u**4 + 2/105*u**6 + 0*u**2. Factor n(m).
2*m*(m - 1)**2*(2*m + 1)/7
Let p(f) be the first derivative of -f**4/2 + 8*f**3/3 - 3*f**2 - 16. Find k such that p(k) = 0.
0, 1, 3
Let f be 4/14 + (-6)/21. Factor -2*o**3 - o**2 + o**4 - o**2 + f*o**3 + 3*o**2.
o**2*(o - 1)**2
Let h be ((-12)/135 - 0)*3/(-32). Let p(b) be the third derivative of 0*b**3 + 0 + 0*b + 3*b**2 + 1/24*b**4 - h*b**5. What is r in p(r) = 0?
0, 2
Let x(v) = 50*v**3 - 15*v**2 - 140*v + 15. Let t(r) = 7*r**3 - 2*r**2 - 20*r + 2. Let f(c) = -15*t(c) + 2*x(c). Factor f(p).
-5*p*(p - 2)*(p + 2)
Let a(g) be the third derivative of -g**7/5040 - g**6/360 - g**5/80 - g**4/8 - 6*g**2. Let o(p) be the second derivative of a(p). Find b, given that o(b) = 0.
-3, -1
Determine x so that -2 + 4 - 6*x**2 + 2*x**2 - 16*x + 18 = 0.
-5, 1
Let l be 2/(-2) - (-81)/117. Let h = l + 29/52. Factor -1/4*g**2 + 0 - h*g.
-g*(g + 1)/4
Let o be (-26)/(-10) + (2 - 4). Solve 2/5 + 8/5*t**2 + o*t**3 + 7/5*t = 0 for t.
-1, -2/3
Suppose -3*y - 7 = -2*y - 5*i, 4*y + i = 14. Determine f so that 0*f + 0*f**2 - 3/2*f**4 + 0 + 3/2*f**y = 0.
0, 1
Factor 3/4*d**3 + 0 + 3/4*d**2 - 3/4*d**5 - 3/4*d**4 + 0*d.
-3*d**2*(d - 1)*(d + 1)**2/4
Let h = -354 + 709/2. Suppose -h*r**2 + 0*r + 5/4*r**3 + 0 = 0. What is r?
0, 2/5
Let g(w) be the first derivative of 2*w**3/3 + w**2 + 15. Solve g(i) = 0 for i.
-1, 0
Factor 19*q**5 + 2*q**5 + 10*q**3 - 6*q**5 + 0*q**5 - 35*q**4.
5*q**3*(q - 2)*(3*q - 1)
Suppose 0 = -0*y - 5*y + 435. Let d = 441/5 - y. Factor d + 3/5*j**3 - 3/5*j - 6/5*j**2.
3*(j - 2)*(j - 1)*(j + 1)/5
Suppose -6*l = -4*l - 10. Let -6*b**2 + 6*b**4 - 7*b**5 + 2*b**5 + 3*b + 2*b**l = 0. What is b?
-1, 0, 1
Factor 27/7*y**2 + 3/7*y**4 - 18/7*y**3 + 0*y + 0.
3*y**2*(y - 3)**2/7
Let m(z) be the first derivative of 5*z**3/3 + 5*z**2 + 5*z + 7. What is y in m(y) = 0?
-1
Let a = 45/4 + -43/4. Suppose -3/4*s**4 + 3/4*s + 1/2*s**2 - a*s**3 - 1/4*s**5 + 1/4 = 0. What is s?
-1, 1
Let i(c) be the third derivative of -1/40*c**6 - 1/20*c**5 - 5*c**2 + 0*c + 0*c**4 + 0 + 0*c**3. Determine b so that i(b) = 0.
-1, 0
Suppose 0 = -2*y + 7*y - 30. Let l be 4/y*81/6. Factor -4*g**3 - g + 7*g + 7*g**3 - 18*g**3 + l*g**2.
-3*g*(g - 1)*(5*g + 2)
Let b be 136/16*(3 - 1). Suppose 5*v**2 - b*v - v**2 + 13*v = 0. What is v?
0, 1
Let k(h) be the third derivative of 0*h**3 - 7/150*h**5 + 0*h + 3*h**2 + 1/30*h**4 + 0. Determine v so that k(v) = 0.
0, 2/7
Let q(j) be the third derivative of -3*j**2 + 1/40*j**6 + 0*j + 0 + 3/8*j**4 - 3/20*j**5 - 1/2*j**3. Factor q(y).
3*(y - 1)**3
Let c(r) be the second derivative of r**9/83160 + r**8/36960 - 5*r**4/12 - 5*r. Let s(k) be the third derivative of c(k). Determine v, given that s(v) = 0.
-1, 0
Let y(h) = -39*h**2 + 144*h - 207. Let w(a) = -11*a**2 + 41*a - 59. Let p(z) = -18*w(z) + 5*y(z). Factor p(o).
3*(o - 3)**2
Let l = 54 + -211/4. Factor -l*h**3 + 1/2*h - 1/4*h**2 - 1/2*h**4 + 0.
-h*(h + 1)*(h + 2)*(2*h - 1)/4
Let t(p) be the third derivative of 0*p**4 + 0*p - 2/315*p**7 - 1/180*p**6 - 1/504*p**8 + 0*p**3 + 0*p**5 - 3*p**2 + 0. Let t(f) = 0. What is f?
-1, 0
Let j(s) be the first derivative of -3*s**5/35 + 6*s**4/7 - 13*s**3/7 + 9*s**2/7 - 4. Factor j(n).
-3*n*(n - 6)*(n - 1)**2/7
Suppose 3*c + 17 + 2704 = 0. Let w = -8153/9 - c. Determine s so that -4/9*s - w*s**2 + 14/9*s**3 + 0 = 0.
-2/7, 0, 1
Let b be ((-30)/(-40))/((-33)/(-16)). Solve -8/11*m**3 + 2/11*m**4 + 0 - b*m + 10/11*m**2 = 0.
0, 1, 2
Let c(p) be the third derivative of p**7/70 - p**6/10 - p**5/4 - 24*p**2. Factor c(o).
3*o**2*(o - 5)*(o + 1)
Factor 112/3*y**3 - 2/3*y**4 - 76832/3 + 21952/3*y - 784*y**2.
-2*(y - 14)**4/3
Let g(u) be the first derivative of u**5/3 - 5*u**4/2 - 35*u**3/9 - 3. Let g(f) = 0. Calculate f.
-1, 0, 7
Suppose 49*h = 28*h. Let 0*l**2 + h + 1/4*l - 1/4*l**3 = 0. What is l?
-1, 0, 1
Let a = -31/6 - -313/60. Let s(m) be the second derivative of 1/14*m**7 + 0*m**3 + 0 - a*m**5 + 0*m**2 + 1/15*m**6 + 0*m**4 - m. Suppose s(x) = 0. Calculate x.
-1, 0, 1/3
Let x = -380/3 - -128. Let n(i) be the second derivative of x*i**3 - i + 1/6*i**4 + 0 + 4*i**2. Factor n(j).
2*(j + 2)**2
Suppose 82*c - 4*c**2 + c**2 - 2*c**2 - 87*c = 0. What is c?
-1, 0
Let v = 5 - -4. Let k = v - 7. Solve 2/3 + 2*b**k + 2/3*b**3 + 2*b = 0.
-1
Let l(s) be the second derivative of s**5/12 - s**4/8 - s**3/3 - 2*s**2 - 5*s. Let v(m) be the first derivative of l(m). Solve v(j) = 0.
-2/5, 1
Let n be 17/5 - (-14)/(-35). Let c = -2 + 4. Solve 2*a**2 - a**c - n*a**2 + a**2 - a**3 = 0 for a.
-1, 0
Let f(o) be the first derivative of 2*o**3/3 - 5*o**2/4 + o/2 + 21. Determine s so that f(s) = 0.
1/4, 1
Let g(p) = -3*p**3 - 12*p**2 - 8*p - 4. Let c(d) = -4*d**3 - 13*d**2 - 7*d - 3. Let r(u) = -4*c(u) + 3*g(u). Factor r(j).
j*(j + 2)*(7*j + 2)
Let l(f) be the second derivative of f**5/150 - f**4/30 + 3*f**2/2 + 2*f. Let w(j) be the first derivative of l(j). What is a in w(a) = 0?
0, 2
Let r = -19 + 20. Factor -i + r - 7*i + 2*i**2 + 7.
2*(i - 2)**2
Let j(w) be the second derivative of -w**7/126 + w**6/180 + w**5/36 - w**4/36 - 2*w**2 - w. Let b(t) be the first derivative of j(t). Solve b(m) = 0.
-1, 0, 2/5, 1
Suppose 4*u = -5*f + 17, -5*u - 21 = 5*f - 41. Factor 1/8*c**u - 1/8*c - 1/8 + 1/8*c**2.
(c - 1)*(c + 1)**2/8
Let n(p) be the third derivative of 0 + 7/40*p**4 + 1/5*p**3 + 0*p + 7/100*p**5 + 5*p**2 + 1/100*p**6. Factor n(g).
3*(g + 1)*(g + 2)*(2*g + 1)/5
Factor -7*r**4 + 4*r**2 + 8*r**3 + 18*r**4 - 7*r**4.
4*r**2*(r + 1)**2
Let t(z) = z**5 + 13*z**3. Let w(i) = 4*i**3. Let a(m) = 2*t(m) - 7*w(m). Factor a(v).
2*v**3*(v - 1)*(v + 1)
Let t(q) be the third derivative of -4*q**7/21 - 19*q**6/30 - 2*q**5/5 + 5*q**4/6 + 4*q**3/3 - 2*q**2. Suppose t(s) = 0. What is s?
-1, -2/5, 1/2
Let g = -3515/553 + -96/79. Let a = 57/7 + g. Factor 0*x**3 + 0 - 4/7*x**2 - 2/7*x + 2/7*x**5 + a*x**4.
2*x*(x - 1)*(x + 1)**3/7
Let w(d) = -d**2 + d - 2. Let v(t) = t + 8. Let b be v(-7). Let a(c) = -b + 0*c - 3*c + 4*c. Let g(p) = 2*a(p) - w(p). Factor g(j).
j*(j + 1)
Factor -1/9*v**4 - 2/9*v**3 + 0 + 0*v - 1/9*v**2.
-v**2*(v + 1)**2/9
Let i(x) be the second derivative of x**5/20 + x**4/3 + 5*x**3/6 + x**2 + 11*x. Factor i(p).
(p + 1)**2*(p + 2)
Let g(