
-2, -1
Suppose f + 0*f - 211 = -4*s, 0 = 2*s - 5*f - 89. Let m be (-10)/(-65) - (-70)/s. Factor 3/2*g - m*g**3 + 0*g**2 + 0.
-3*g*(g - 1)*(g + 1)/2
Let g(k) = -8*k**4 + 5*k**3 + 43*k**2 - 69*k + 19. Let m(v) = -12*v**4 + 8*v**3 + 64*v**2 - 104*v + 28. Let f(q) = -8*g(q) + 5*m(q). Solve f(p) = 0.
-3, 1
Let q(p) be the first derivative of p**4/6 - 4*p**3/3 + 3*p**2 - 12. Solve q(w) = 0 for w.
0, 3
Let c(b) = 2*b**2 + b - 1. Let g be c(-2). Factor -g*w**2 + 17 - 53 - 4*w**4 + 13*w**2 - 16*w**3 + 48*w.
-4*(w - 1)**2*(w + 3)**2
Suppose 6*y = y - 4*z + 20, y - 4 = -2*z. Suppose 0 = -3*a + 5 + y. Factor p**2 + 2*p**a - p**3 + 0*p**3.
p**2*(p + 1)
Let d(h) = -4*h - 4. Let f(k) = k - 1. Let l(y) = d(y) + 5*f(y). Let n be l(9). Factor 0*m**2 + 2/5*m**3 + n + 0*m - 2/5*m**4.
-2*m**3*(m - 1)/5
Suppose c**3 + 0*c - 1/5*c**5 - 3/5*c**2 - 1/5*c**4 + 0 = 0. Calculate c.
-3, 0, 1
Let j = 26 - 42. Let l = j + 18. Suppose 2/3 + 0*q - 2/3*q**l = 0. What is q?
-1, 1
Let b(u) be the third derivative of u**8/23520 + u**7/2205 + u**6/504 + u**5/210 + u**4/8 - 3*u**2. Let i(r) be the second derivative of b(r). Factor i(c).
2*(c + 1)**2*(c + 2)/7
Let c be 4/21 - (-1)/((-9)/(-6)). Let a = 285 - 1991/7. Suppose c*f - a - 2/7*f**2 = 0. Calculate f.
1, 2
Let h(n) be the second derivative of 0 + 1/54*n**4 + 1/27*n**3 - 2/9*n**2 + 5*n. Solve h(c) = 0 for c.
-2, 1
Let b(d) be the first derivative of 11/12*d**4 + 4/3*d**3 - 2*d**5 - 3 - 2/3*d**2 + 0*d - 25/18*d**6. Suppose b(z) = 0. What is z?
-1, 0, 2/5
Let o(y) be the third derivative of -y**7/630 - y**6/180 - 54*y**2. Let o(q) = 0. What is q?
-2, 0
Let j = -1/2142 - -317/153. Let m = 3/7 + j. Factor -5/2*n**3 - 3/4*n**5 - 1/2 + 5/4*n + m*n**4 + 0*n**2.
-(n - 1)**4*(3*n + 2)/4
Let q(b) be the third derivative of b**8/168 + b**7/35 + b**6/20 + b**5/30 - 9*b**2. Factor q(n).
2*n**2*(n + 1)**3
Suppose 112 = 42*p - 14*p. Factor -1/2*m**5 - 1/2*m**2 + 0*m + 1/2*m**p + 0 + 1/2*m**3.
-m**2*(m - 1)**2*(m + 1)/2
Suppose 10 = 6*s - s. Find j, given that -j**3 + 6 - 3*j - j**3 + j**3 - 6*j**s + 4*j**3 = 0.
-1, 1, 2
Let s(i) be the third derivative of -i**6/720 - i**5/360 + i**4/144 + i**3/36 - 26*i**2. Find g, given that s(g) = 0.
-1, 1
Let r = 8 - 4. Factor 5*x**3 + 0 - 18*x - r + 24*x**4 + 3*x**3 - 20*x**2 + 10*x**5.
2*(x - 1)*(x + 1)**3*(5*x + 2)
Factor -3/5*c**2 + 0*c + 3/5.
-3*(c - 1)*(c + 1)/5
Let o(x) be the first derivative of x**4/6 - 2*x**3/9 + 4. Factor o(g).
2*g**2*(g - 1)/3
Let g(p) be the first derivative of p**3/21 + p**2/2 + 42. Determine o so that g(o) = 0.
-7, 0
Let f(o) be the first derivative of -1/6*o**6 + 0*o + 0*o**4 - 2/5*o**5 + 2/3*o**3 - 4 + 1/2*o**2. Suppose f(k) = 0. What is k?
-1, 0, 1
Suppose s - 3*s = -4. Suppose s*h**2 - 5*h - 3*h + 2*h**3 + 8*h = 0. What is h?
-1, 0
Let -27/2*t - 5/2*t**2 - 5 = 0. What is t?
-5, -2/5
Let c(r) be the first derivative of 8*r**5/15 + 11*r**4/6 + 20*r**3/9 + r**2 - 9. Determine v, given that c(v) = 0.
-1, -3/4, 0
Let c(r) = -r + 15. Let p be c(14). Let j(u) be the first derivative of -1/9*u**4 + 0*u**2 + 2/27*u**3 + p + 2/45*u**5 + 0*u. Find g, given that j(g) = 0.
0, 1
Let y(r) = r**3 - r**2 - 1. Let m(a) = 4*a**3 - 8*a**2 + 7*a - 6. Let w(s) = -2*m(s) + 6*y(s). Factor w(h).
-2*(h - 3)*(h - 1)**2
Suppose 0 = 2*f - 5*f + 2*q + 14, -3*f = 3*q + 6. Let -4/5*o + 3/5 + 1/5*o**f = 0. Calculate o.
1, 3
Let c be 13 - (6 - (2 + 0)). Suppose -2*z + 3*y = -c, 0 = -7*z + 2*z + 2*y + 6. Factor 2/7*l**2 + 0 + z*l.
2*l**2/7
Suppose 17*f - 25 = 43. Let o(z) be the third derivative of 0*z**f + 0*z**3 - 1/60*z**5 + 1/60*z**6 + 0 + 0*z - 1/210*z**7 + 4*z**2. Factor o(l).
-l**2*(l - 1)**2
Let w be ((-4)/3)/(4/(-6)). Let x = w - 0. Find o such that -4/7 + 6/7*o - 2/7*o**x = 0.
1, 2
Suppose -3*p + 0*p = -12. Factor 7*i - 9*i**p + 10*i**4 + 5*i**3 - 1 + 9*i**2 + 3.
(i + 1)**3*(i + 2)
Let r(x) = x**3 + 14*x**2 - 25*x + 4. Let q(g) = g**3 - g**2 - 1. Let k(m) = -6*q(m) + r(m). Determine s, given that k(s) = 0.
1, 2
What is i in 34/19*i**2 + 12/19 - 14/19*i**3 + 2/19*i**4 - 34/19*i = 0?
1, 2, 3
Let t(f) be the second derivative of -5*f**8/504 + f**7/45 - f**6/90 - 4*f**2 - 2*f. Let c(i) be the first derivative of t(i). Solve c(a) = 0.
0, 2/5, 1
Let n(w) = -1 + 0*w**2 - 2*w**2 - w**4 + w**2. Let t(r) = 12*r**4 - 19*r**3 + 20*r**2 - r + 3. Suppose 0 = 3*q - 1 - 2. Let u(p) = q*t(p) + 5*n(p). Factor u(z).
(z - 1)**3*(7*z + 2)
Factor 1/2*z**3 - 3/2*z**2 + 1/2*z**4 - 5/2*z - 1.
(z - 2)*(z + 1)**3/2
Let p be (7/(-8))/(51/6). Let o = 6/17 + p. Factor o*u + 0 - 1/4*u**3 + 0*u**2.
-u*(u - 1)*(u + 1)/4
Factor 1/2*y + 1/2 + 1/8*y**2.
(y + 2)**2/8
Let d(u) be the second derivative of u**6/75 + u**5/50 - u**4/30 - u**3/15 + 6*u. Solve d(c) = 0 for c.
-1, 0, 1
Let i(y) = y + 1. Let f(q) = 2*q**3 - 2*q**2 - 7*q - 3. Suppose 2*o - a - 3 = 0, 4*o - 2*a + 3*a = 3. Let t(z) = o*f(z) + 5*i(z). Factor t(w).
2*(w - 1)**2*(w + 1)
Let f be 1*(4/(-2) + 2). Let h(t) be the second derivative of -2*t - 1/21*t**3 - 1/42*t**4 + f + 0*t**2. Factor h(n).
-2*n*(n + 1)/7
Let c(z) be the third derivative of -z**5/20 + z**4/8 + 29*z**2. Factor c(w).
-3*w*(w - 1)
Suppose -4*s - y + 8 = 0, 3*y = -2*s + 5*s - 6. Factor 2*r + 2*r**s + 3 - 7*r - 1 + 0*r**2.
(r - 2)*(2*r - 1)
Let c = 981 - 981. Factor c*a**2 + 0 - 12/5*a**3 + 3/5*a**4 + 0*a.
3*a**3*(a - 4)/5
What is r in -1/4*r**4 + 1/4*r**2 + 0 - 1/4*r + 1/4*r**3 = 0?
-1, 0, 1
Solve -2/5*m**2 + 0 - 4/5*m = 0 for m.
-2, 0
Let z = -58/3 + 62/3. Let 0 + 0*n**3 + 4/3*n**4 + 0*n - z*n**5 + 0*n**2 = 0. What is n?
0, 1
Let a be 1/9*(-18)/(-15). Let x(z) be the first derivative of 1/10*z**4 + a*z**3 + 0*z**2 + 0*z + 1. Find y such that x(y) = 0.
-1, 0
Let p(x) be the second derivative of -3*x**5/140 + 5*x**4/84 + x**3/21 - 4*x. What is s in p(s) = 0?
-1/3, 0, 2
Let d(b) be the second derivative of b**5/60 - 2*b**3/3 - 3*b**2 + 6*b. Let c(h) be the first derivative of d(h). Factor c(s).
(s - 2)*(s + 2)
Suppose 12 = 2*j + 2*j. Find p, given that 2*p**j - 4*p**3 - 103*p**4 + 105*p**4 = 0.
0, 1
Let s = -3 - -1. Let r be 3 + -1 - (s - -1). Let c(a) = -38*a**2 + 7*a + 1. Let f(h) = h**2 - h + 1. Let v(z) = r*f(z) + c(z). Solve v(g) = 0.
-2/7, 2/5
Let n(k) = k + 10. Let i be n(-7). Suppose -3*q = -q + 4*w, -3*q + i*w = -27. Factor -4 - 5*c**2 + 4*c - 3*c**2 + q*c + 0*c**3 + 2*c**3.
2*(c - 2)*(c - 1)**2
Let x(z) be the third derivative of 0*z**3 + 1/224*z**8 + 0*z**5 + 0*z**7 - 2*z**2 + 0*z**4 + 0*z + 0 - 1/80*z**6. Determine g so that x(g) = 0.
-1, 0, 1
Factor -8/13 - 8/13*w - 2/13*w**2.
-2*(w + 2)**2/13
Let d be (-66)/(-8) + (-2)/8. Suppose 0 = 4*p - p - 6. Factor 2*z**3 + d + 11*z**2 - 7*z**2 + 6*z**p + 16*z.
2*(z + 1)*(z + 2)**2
Let g be (20*21/(-2058))/((-1)/7). Let k = 1270/2247 - -2/321. Solve 0 - 6/7*x**3 - g*x**2 - k*x = 0.
-1, -2/3, 0
Let o(g) be the third derivative of 1/63*g**7 + 10*g**2 - 1/27*g**4 + 0*g - 4/27*g**3 + 0 + 17/270*g**6 + 19/270*g**5. Find b such that o(b) = 0.
-1, -2/3, 2/5
Let v(d) be the first derivative of 1/3*d**6 - 1 - 112/3*d**3 + 16*d**4 - 18/5*d**5 + 48*d**2 - 32*d. Solve v(a) = 0 for a.
1, 2
Suppose -33 = -3*f + 54. Suppose 2*d - f = 5*v, 3*d + v + 3 = 2*d. Factor -3 + 2*h + 4 + 0*h**2 + h**d.
(h + 1)**2
Let x(l) = -5*l**4 + 0*l**4 - 3*l**2 - l - 3*l. Let j(k) = 14*k**4 + 8*k**2 + 11*k. Let a(r) = -4*j(r) - 11*x(r). Factor a(y).
-y**2*(y - 1)*(y + 1)
Suppose -4*g = -5*x - 3, 0*x = x + 2*g - 5. Find t such that 6*t**2 + 2*t**3 + 7*t - t + 1 + x = 0.
-1
Let p(f) be the first derivative of -f**4/12 + f**3/3 - 3*f - 2. Let v(i) be the first derivative of p(i). Find l, given that v(l) = 0.
0, 2
Suppose 12 = 2*d + 2*d. Factor 3 + w + d*w**3 + 5*w**2 + 0*w**2 - 4.
(w + 1)**2*(3*w - 1)
Let k(h) be the third derivative of 5/36*h**4 + 0 + 1/180*h**6 - 2/45*h**5 + 6*h**2 - 2/9*h**3 + 0*h. Solve k(j) = 0.
1, 2
Suppose -5*z = -5*h - z, 0 = -5*h - 5*z. Let 0 + 0*w + h*w**3 - 2/9*w**2 + 2/9*w**4 = 0. Calculate w.
-1, 0, 1
Suppose -4*g + 14 - 2 = 0. Let -2/5*r + 4/5*r**2 + 0 - 2/5*r**g = 0. Calculate r.
0, 1
Suppose -5*y - 4 = -29. Let w(a) = 10*a**3 - 3*a**2 - 7*a + 7. Let p(c) = -7*c**3 + 2*c**2 + 5*c - 5. Let d(l) = y*w(l) + 7*p(l). Factor d(m).
m**2*(m - 1)
Let x(q) be the first derivative of 3*q**5/10 + q**4/4 + q**3/18 + 33. Factor x(r).
r**2*(3*r + 1)**2/6
Let p(v) be th