2 + 9*u - 2. Let x be f(-9). Let d = 0 - x. Solve -1/2 + d*r - 1/2*r**4 - 3*r**2 + 2*r**3 = 0.
1
Let t(q) be the third derivative of 0 + 1/30*q**5 + 0*q - 2/3*q**3 + 3*q**2 - 1/12*q**4. Factor t(s).
2*(s - 2)*(s + 1)
Let t = 12/71 + 3419/355. Suppose -12*c**2 - t*c**4 + 8/5*c + 0 + 126/5*c**3 = 0. Calculate c.
0, 2/7, 2
Let c(g) be the first derivative of -g - 1 - 1/30*g**4 - 1/25*g**5 + 1/15*g**3 + 0*g**2. Let m(i) be the first derivative of c(i). Factor m(f).
-2*f*(f + 1)*(2*f - 1)/5
Factor 27/2*w - 3/2 + 57/2*w**3 - 9*w**4 - 63/2*w**2.
-3*(w - 1)**3*(6*w - 1)/2
Let t(g) = 2*g**5 + 7*g**2 - 3*g - 3. Let x(z) = z**5 + z**4 + z**2 - z - 1. Suppose -3*m + 5 = -4. Let a(p) = m*x(p) - t(p). What is r in a(r) = 0?
-2, 0, 1
Let o = 4 + -1. Suppose 0 = 4*t - o - 5. Solve t - 3 + 0*z**2 + 2*z + 0*z**2 + z**4 - 2*z**3 = 0 for z.
-1, 1
Let s = 0 + 5. Suppose 0 = 4*v + 3*p + 2*p - s, -2*p + 2 = -3*v. Find c, given that -2/9*c**3 - 2/9*c**4 + 2/9*c**5 + 0 + v*c + 2/9*c**2 = 0.
-1, 0, 1
Suppose -26 = -5*w - 11. Determine q so that -2*q**3 - 4*q**3 + 7*q**w - 3*q**2 + q**2 = 0.
0, 2
Let x(u) be the third derivative of 27*u**6/200 + 93*u**5/100 + 14*u**4/15 + 2*u**3/5 + 22*u**2. What is o in x(o) = 0?
-3, -2/9
Let n = 7116/7 + -1016. Determine t so that -4/7*t**2 - 20/7*t**3 + n*t**5 + 32/7*t - 16/7 + 4/7*t**4 = 0.
-2, 1
Suppose 4*t - 3 = 61. Suppose a + 14*a**2 + 0*a - 3*a - 14*a**3 - t*a**3 + 18*a**4 = 0. Calculate a.
0, 1/3, 1
Let f be -1*(-5 - (-4 + 1)). Let d be (f - 2) + 2/1. Factor 3/4*w + w**d - 1/4.
(w + 1)*(4*w - 1)/4
Let v be 2*4/6*(5 + -2). Let 1/5*y**2 + 0 - 1/5*y**v + 1/5*y - 1/5*y**3 = 0. Calculate y.
-1, 0, 1
Suppose 0 = 4*f - 12 - 0. Let c = -194/3 - -67. Find m such that 5/3*m**f + 3*m**4 - 3*m**2 + 0 + 2/3*m - c*m**5 = 0.
-1, 0, 2/7, 1
Let j be 0 + -2 + 4 + 3. Determine i, given that 6*i**5 + 2*i**3 - 3*i**j - 4*i**5 + 0*i**5 + i**4 = 0.
-1, 0, 2
Let r(i) = -12*i**2 - 8*i - 11. Let x(l) = 6*l**2 + 4*l + 6. Let p(u) = 4*r(u) + 7*x(u). Let m(f) = -5*f**2 - 4*f - 3. Let s(c) = 2*m(c) - 3*p(c). Factor s(q).
4*q*(2*q + 1)
Suppose 0 = -3*z + 2*h + 14, -2*z + 5*h = -17 - 7. Determine a, given that -2/5*a**3 + z*a**2 - 6/5*a - 18/5 = 0.
-1, 3
Determine p, given that -1/2*p**3 + 1/2*p + 0 + 0*p**2 = 0.
-1, 0, 1
Factor 0*t + 0*t**3 + 0 + 3/5*t**4 - 3/5*t**2.
3*t**2*(t - 1)*(t + 1)/5
Suppose -3*q + 1 = -5*m, 0 = 4*q - 7*q - 5*m + 11. Suppose 0 = 3*f - 7 - q. Factor -26*c**2 + 2*c - 10*c - 14*c**f - 6*c**2.
-2*c*(c + 2)*(7*c + 2)
Let q(z) be the second derivative of -1/48*z**4 + 3*z + 1/6*z**3 - 1/2*z**2 + 0. Factor q(m).
-(m - 2)**2/4
Let x(q) be the first derivative of 2*q**3 - 6/5*q**5 - 3/4*q**4 + 4 + 1/2*q**6 + 0*q**2 + 0*q. Factor x(y).
3*y**2*(y - 2)*(y - 1)*(y + 1)
Let q be 18/(-4)*28/(-42). Let h = 17 - 12. Suppose -7*z**5 + 4*z**2 - 2*z + q*z**3 + z**3 - 2 + h*z**5 - 2*z**4 = 0. Calculate z.
-1, 1
Let c = 6/53 - -16/795. Solve -2/5 + c*b**2 - 4/15*b = 0 for b.
-1, 3
Let x = -84/5 + 598/35. Factor 2/7*i + 0*i**3 + 4/7*i**2 - 4/7*i**4 + 0 - x*i**5.
-2*i*(i - 1)*(i + 1)**3/7
Let t(d) = d**2 + 1. Let i(p) = 4*p + 9 - 2*p + 8*p**2 + 0*p**2. Let a = -12 + -6. Let z(b) = a*t(b) + 2*i(b). Factor z(c).
-2*c*(c - 2)
Let y = 17 - 15. Let r(u) be the third derivative of 3*u**y + 0*u + 1/36*u**4 - 1/27*u**3 - 1/135*u**5 + 0. What is w in r(w) = 0?
1/2, 1
Suppose -10 + 0 = -2*c. Let a(t) be the first derivative of 2/9*t + 4/9*t**2 + 4/9*t**3 + 2/45*t**c + 1 + 2/9*t**4. Suppose a(u) = 0. Calculate u.
-1
Let l(t) be the second derivative of -t**10/30240 - t**9/7560 + t**7/1260 + t**6/720 - t**4/6 + 3*t. Let v(d) be the third derivative of l(d). Factor v(a).
-a*(a - 1)*(a + 1)**3
Let f(b) be the third derivative of 2*b**2 + 0*b + 0 + 1/30*b**4 - 2/15*b**3 - 1/300*b**5. Factor f(p).
-(p - 2)**2/5
Let y(k) be the second derivative of -k**4/4 - 9*k**3/2 - 12*k**2 - 27*k. Factor y(j).
-3*(j + 1)*(j + 8)
Let k(c) be the third derivative of 0*c**4 - 1/360*c**6 + 0*c + 1/3*c**3 + c**2 + 0 + 1/120*c**5. Let h(d) be the first derivative of k(d). Factor h(n).
-n*(n - 1)
Let w(n) be the first derivative of 0*n + 1/6*n**4 - 1/9*n**6 + 2/15*n**5 - 2/9*n**3 + 0*n**2 + 1. Let w(m) = 0. What is m?
-1, 0, 1
Let r(j) be the first derivative of -2/9*j**4 - 4/9*j**3 - j**2 + 0*j - 1/30*j**5 - 2. Let a(z) be the second derivative of r(z). Suppose a(x) = 0. What is x?
-2, -2/3
Let y be ((-1)/(-2))/(2/12). Factor -4*z**2 + 2*z**4 + 2*z + 0*z**y - z**2 - 2*z**3 + 3*z**2.
2*z*(z - 1)**2*(z + 1)
Let c(d) = -d**2 - 7*d - 7. Let b be c(-5). Factor 0*a - b*a**3 - 2*a**2 - a**2 - a - a**4.
-a*(a + 1)**3
Suppose 0 + 0 = 5*x. What is p in 2/5*p**2 + 0*p + x = 0?
0
Let i(h) be the third derivative of -h**9/272160 + h**8/90720 + h**7/11340 + h**5/20 + 2*h**2. Let v(p) be the third derivative of i(p). Factor v(k).
-2*k*(k - 2)*(k + 1)/9
Let w(j) be the second derivative of j**4/6 + 4*j**3/3 + 3*j**2 - 4*j. Factor w(z).
2*(z + 1)*(z + 3)
Let l(w) be the first derivative of w**8/1008 - w**2 - 3. Let x(b) be the second derivative of l(b). Factor x(y).
y**5/3
Let j(w) be the second derivative of w**5/90 + 2*w**4/27 + 5*w**3/27 + 2*w**2/9 + 20*w. Factor j(o).
2*(o + 1)**2*(o + 2)/9
Let f = -21 + 33. Let o(j) = j - 10. Let m be o(f). What is t in 7/2*t**3 + m - 8*t + 5/2*t**2 = 0?
-2, 2/7, 1
Let j(y) be the first derivative of -1 - y + 11/3*y**3 + 17/10*y**5 + 1/3*y**6 + 2*y**2 + 7/2*y**4. Let a(i) be the first derivative of j(i). Solve a(t) = 0.
-1, -2/5
Let a(j) be the third derivative of j**6/10 - 3*j**5/20 + 18*j**2. Factor a(q).
3*q**2*(4*q - 3)
Let h(t) be the second derivative of t**4/28 + 2*t**3/7 + 9*t**2/14 - 22*t. Find f such that h(f) = 0.
-3, -1
Let j(v) = 2*v**5 + 2*v**4 - 14*v**3 - 8*v**2 - 2*v + 2. Let w(h) = -h**5 - 3*h**4 + 15*h**3 + 8*h**2 + 3*h - 3. Let a(b) = 3*j(b) + 2*w(b). Factor a(k).
4*k**2*(k - 2)*(k + 1)**2
Factor 0*a**2 + 1/4*a**4 + 0 + 0*a + 0*a**3 + 9/8*a**5.
a**4*(9*a + 2)/8
Let f be (-3)/(6/4) + 5. Factor -4*v**2 - v**3 - 2 + 6 + f*v - v**3 - v.
-2*(v - 1)*(v + 1)*(v + 2)
Suppose 4*f + 2 = p, 2*p - 2*f - 8 = -2*p. Factor -2*z**2 + 37 - 37 - p*z.
-2*z*(z + 1)
Let z(w) = 5*w**2 - 15*w + 12. Let t be z(1). Factor -1/2*d + 1/2*d**t - 1/2 + 1/2*d**3.
(d - 1)*(d + 1)**2/2
Determine o, given that -4 + 1 - 2*o**2 + 3 + 2 = 0.
-1, 1
Let i(v) be the second derivative of -7*v**7/2 + 203*v**6/6 - 2161*v**5/20 + 1441*v**4/12 - 64*v**3 + 18*v**2 + 44*v. What is g in i(g) = 0?
2/7, 1/3, 3
Factor -2/3*a**4 + 0*a**3 + 0 + 2/3*a**2 + 0*a.
-2*a**2*(a - 1)*(a + 1)/3
Let g(b) be the first derivative of -b + 0*b**2 - 1 + 1/36*b**4 - 1/9*b**3. Let w(u) be the first derivative of g(u). Solve w(s) = 0 for s.
0, 2
Let a = 9 - 7. Suppose 0 = -2*v + v + 5, -a*y = -v + 1. Let -j**2 - 2*j**2 - 2*j**4 + 8*j**3 - 3*j**2 - y*j**2 = 0. What is j?
0, 2
Let u(v) = 12*v**2 + 32*v + 48. Let p(h) = 4*h**2 + 11*h + 16. Let o(b) = 16*p(b) - 5*u(b). Factor o(s).
4*(s + 2)**2
Let o = 4 - 2. Suppose -2*d + 3*f = d, 5*d = -o*f + 14. Determine b, given that -1/3*b**d + 0 - 2/3*b = 0.
-2, 0
Let j(x) = -x**3 - 11*x**2 - 11*x - 1. Let g be j(-10). What is u in 9*u + 3*u**2 + 11 + 1 - 6*u + g*u = 0?
-2
Let i(z) be the third derivative of -z**7/945 - z**6/270 + z**4/54 + z**3/27 + 12*z**2. Solve i(b) = 0 for b.
-1, 1
Factor 9*q**3 - 21*q**3 + 17*q**3 - 5*q.
5*q*(q - 1)*(q + 1)
Let q(f) be the second derivative of 1/18*f**3 + 0 - 1/60*f**5 + 0*f**4 + f + 0*f**2. Suppose q(o) = 0. What is o?
-1, 0, 1
Factor -3*q**3 - 15/2*q**4 + 0 + 0*q + 0*q**2.
-3*q**3*(5*q + 2)/2
Let d(w) be the second derivative of -w**10/90720 - w**9/45360 - w**4/12 + w. Let o(a) be the third derivative of d(a). Factor o(i).
-i**4*(i + 1)/3
Let x = 60 - 57. Solve 1/2*u**x + 0 + 1/2*u**4 - 1/2*u**2 - 1/2*u = 0 for u.
-1, 0, 1
Let r(p) be the second derivative of -p**7/21 - p**6/3 - 9*p**5/10 - 7*p**4/6 - 2*p**3/3 + 7*p. Suppose r(c) = 0. Calculate c.
-2, -1, 0
Let q = 258 + -255. Factor -2/5*t**q + 2/5*t + 2/5 - 2/5*t**2.
-2*(t - 1)*(t + 1)**2/5
Let p(z) be the third derivative of -z**8/1176 + z**7/245 - z**6/210 - z**5/105 + z**4/28 - z**3/21 - 4*z**2. Factor p(t).
-2*(t - 1)**4*(t + 1)/7
Let y(m) be the second derivative of m**5/30 - m**4/3 + m**3 - m**2/2 - 5*m. Let j(z) be the first derivative of y(z). Factor j(n).
2*(n - 3)*(n - 1)
Let 