 - 4*g**2 - 13*g - 5. Let r(k) = 7*k**3 - 7*k**2 - 25*k - 11. Let b(p) = -3*r(p) + 5*x(p). Let b(q) = 0. What is q?
-2, -1, 4
What is a in -2/9*a + 2/9*a**3 - 4/9*a**2 + 4/9 = 0?
-1, 1, 2
Let w(k) = -k - 4 + 2 - 8. Let f be w(-13). Suppose x**2 - 2 + 6*x - f*x**2 - 10*x = 0. Calculate x.
-1
Let s be -3*(-7)/((-84)/(-8)). Suppose 0*j = -3*j. Determine b, given that j*b**4 + 0*b + 0 - 2/5*b**3 + 0*b**s + 2/5*b**5 = 0.
-1, 0, 1
Let t = 100 - 78. Let w be 1*(t/(-8) - -3). Determine g, given that -w*g + 1/2 - 1/4*g**2 = 0.
-2, 1
Let r = -1 - -1. Let o = -4/29 - -70/87. Determine g, given that o*g**2 - 4/3*g**5 + r + 2/3*g - 2*g**3 - 10/3*g**4 = 0.
-1, 0, 1/2
Let p = -319 + 321. Let t(w) be the first derivative of 4 - w**3 - 1/4*w**4 + 1/2*w**p + 3*w. Solve t(a) = 0 for a.
-3, -1, 1
Let r(k) be the first derivative of 2*k**5/25 - 9*k**4/10 + 12*k**3/5 - 283. What is s in r(s) = 0?
0, 3, 6
Let b(k) be the third derivative of -k**8/840 - 16*k**7/525 - 9*k**6/50 - 38*k**5/75 - 49*k**4/60 - 4*k**3/5 - 89*k**2. Find w such that b(w) = 0.
-12, -1
Find c such that -5/2*c**2 - 200 + 45*c = 0.
8, 10
Let s(v) be the second derivative of v**7/189 + 46*v**6/135 + 89*v**5/90 + 22*v**4/27 + 2*v - 124. Find d, given that s(d) = 0.
-44, -1, 0
Let a(i) be the second derivative of i**4/60 + 8*i**3/15 + 39*i**2/10 + 132*i. Factor a(u).
(u + 3)*(u + 13)/5
Let r(w) be the third derivative of -3*w**2 + 0*w + 1/120*w**6 + 1/40*w**5 + 0 - 1/4*w**4 + 1/6*w**3. Let g(y) be the first derivative of r(y). Factor g(b).
3*(b - 1)*(b + 2)
Let v(w) be the third derivative of 0 - 1/70*w**7 - 3/40*w**6 + 1/20*w**5 + 0*w**3 + 5*w**2 + 0*w + 1/4*w**4 + 1/112*w**8. Factor v(l).
3*l*(l - 2)*(l - 1)*(l + 1)**2
Let a(i) be the first derivative of -i**8/168 + 4*i**7/105 - i**6/12 + i**5/15 + 21*i**2/2 - 10. Let y(r) be the second derivative of a(r). Factor y(g).
-2*g**2*(g - 2)*(g - 1)**2
Let x = -222/11 - -2174/99. Suppose 1/9*d**2 + x + 8/9*d = 0. Calculate d.
-4
Let k(l) be the second derivative of 0*l**2 + 0*l**5 + 2/45*l**3 - 1/30*l**4 + 1/225*l**6 + 16*l + 0. Factor k(h).
2*h*(h - 1)**2*(h + 2)/15
Suppose -4*o + 25 = -t, -3*o - 4*t + 7*t = -30. Let k(w) be the second derivative of 1/2*w**4 + 0 - 2/3*w**3 + 4*w - 1/10*w**o + 0*w**2. Factor k(u).
-2*u*(u - 2)*(u - 1)
Suppose -18*s - 5*s = -9*s. Let r = 506/247 - 36/19. Factor 0*w + s + r*w**5 + 0*w**2 + 6/13*w**4 + 4/13*w**3.
2*w**3*(w + 1)*(w + 2)/13
Let r = -6 - -5. Let f(o) = -2*o. Let g be f(r). Factor -4 + 6*w + 9 - 6 - 9*w**g.
-(3*w - 1)**2
Let d(r) = 2*r**3 - 21*r**2 - 38*r + 57. Let y(q) = 3*q**3 - 21*q**2 - 39*q + 57. Let a(z) = 4*d(z) - 3*y(z). Factor a(p).
-(p - 1)*(p + 3)*(p + 19)
Let b(u) be the second derivative of 3*u**7/14 + u**6/2 - 3*u**5/10 - 3*u**4/2 - u**3/2 + 3*u**2/2 + 85*u. Factor b(a).
3*(a - 1)*(a + 1)**3*(3*a - 1)
Let w(b) be the first derivative of -b**7/70 + b**6/50 + 9*b**5/100 - b**4/4 + b**3/5 - 6*b - 13. Let z(x) be the first derivative of w(x). Factor z(h).
-3*h*(h - 1)**3*(h + 2)/5
Let j(r) be the second derivative of r**5/40 + r**4/8 - 3*r - 37. Factor j(a).
a**2*(a + 3)/2
Let l = 1401/748 - 115/68. What is i in 0 + 4/11*i**2 - 2/11*i**3 - l*i = 0?
0, 1
Let a be (-1968)/(-12054)*((-2)/(-4) + (-6)/(-2)). Factor 0*r + 4/7*r**2 - a.
4*(r - 1)*(r + 1)/7
Let w = 44 - 34. Let t be 4/w + 13/5. Factor 6*h**3 + 2*h**2 + 5*h**4 + 2*h**2 + 2*h**t - h**4.
4*h**2*(h + 1)**2
Let p(r) be the second derivative of 2*r**7/21 - 2*r**6/3 + 7*r**5/5 - r**4 - 2*r + 15. Factor p(t).
4*t**2*(t - 3)*(t - 1)**2
Let v(x) be the second derivative of -18*x**7/7 + 162*x**6/5 - 522*x**5/5 - 550*x**4/3 + 3146*x**3/3 + 2662*x**2 - 74*x. Factor v(q).
-4*(q + 1)**2*(3*q - 11)**3
Let h(d) = d**2 + 2*d - 10. Let t be h(4). Factor -m - 49 + 2*m**2 - 3*m**2 + m + t*m.
-(m - 7)**2
Let p = 10/1551 - -2932/26367. Factor -16/17 + p*m**2 + 14/17*m.
2*(m - 1)*(m + 8)/17
Let o = 277 - 275. Suppose -o*j = 4*a - 2 + 8, -2*j + 3*a = -22. Let 0*f**2 + 8/5*f + 2/5*f**j + 0 - 2*f**3 + 0*f**4 = 0. What is f?
-2, -1, 0, 1, 2
Let b(v) be the second derivative of v**5/4 + 2*v**4/3 + v**3/6 - v**2 + 2*v - 9. Find j, given that b(j) = 0.
-1, 2/5
Solve -7/6*j**5 + 4/3*j**3 - 8/3 - 44/3*j**2 + 40/3*j + 23/6*j**4 = 0 for j.
-2, 2/7, 1, 2
Let i(f) be the third derivative of f**5/60 - 7*f**4/24 + f**3 + 8*f**2 + f. Solve i(l) = 0 for l.
1, 6
Let w be -12*2*(-1)/8. Let g(j) be the third derivative of 0*j - 1/15*j**w + 0 - 8*j**2 - 1/150*j**5 - 1/30*j**4. Factor g(c).
-2*(c + 1)**2/5
Let f(l) be the second derivative of 7*l - 12/7*l**2 - 1/6*l**4 + 1/70*l**5 + 0 + 16/21*l**3. Find y, given that f(y) = 0.
2, 3
Suppose -291*c = -295*c. Let g(q) be the second derivative of c + 0*q**2 + 0*q**5 - 2/9*q**3 - 1/6*q**4 + 3*q + 1/45*q**6. Factor g(n).
2*n*(n - 2)*(n + 1)**2/3
Let k(h) be the second derivative of h**4/108 + h**3/27 - 45*h. Factor k(a).
a*(a + 2)/9
Let w(n) be the first derivative of n**6/15 + 2*n**5/25 - n**4/2 + 2*n**3/5 - 176. Suppose w(o) = 0. Calculate o.
-3, 0, 1
Let g(h) be the third derivative of h**8/126 - 11*h**7/105 + 13*h**6/45 + 7*h**5/30 - 14*h**4/9 + 4*h**3/3 - 151*h**2. Suppose g(t) = 0. Calculate t.
-1, 1/4, 1, 2, 6
Let u(s) be the second derivative of 2/5*s**4 + 0 + 0*s**3 + 2/75*s**6 + 0*s**2 - 15*s + 7/25*s**5. Factor u(p).
4*p**2*(p + 1)*(p + 6)/5
Let q(w) = -121*w**2 + 458*w - 441. Let i(o) = 605*o**2 - 2288*o + 2205. Let k(m) = -2*i(m) - 11*q(m). Let k(s) = 0. Calculate s.
21/11
Suppose 0 = -c + 3*u + 18, -1 - 16 = c + 4*u. Suppose -2*y = p - 8, 0*y - 3*y = c*p - 18. Factor -1/3*t - 1/3*t**y + 1/3*t**3 + 1/3.
(t - 1)**2*(t + 1)/3
Let z = 46176/5 - 9235. Factor 4/5 + k + z*k**2.
(k + 1)*(k + 4)/5
Let w(y) be the first derivative of 0*y**2 + 1/48*y**4 + 1/24*y**3 - 4 - 6*y. Let o(r) be the first derivative of w(r). Factor o(h).
h*(h + 1)/4
Let n(f) be the second derivative of f**6/105 - f**5/70 - 5*f**4/42 - f**3/7 + 33*f. Factor n(b).
2*b*(b - 3)*(b + 1)**2/7
Let n(f) be the first derivative of 1/6*f**3 + 0*f + 4*f**2 + 2 - 1/60*f**5 + 0*f**4. Let v(z) be the second derivative of n(z). Let v(a) = 0. Calculate a.
-1, 1
Let b(t) = -t**2 - 7*t - 4. Let c be 3*6/(-9) - 4. Let v be b(c). Solve -6*q**v + 3*q**2 - 29 - 24*q + 17 - 36 = 0.
-4
Let w = -26/9 - -200/63. Let d = 4772 + -33402/7. Factor -4/7*z**2 - w*z - d*z**3 + 0.
-2*z*(z + 1)**2/7
Let r be -3 + 1 + 2 + -1. Let m be ((-1)/(-3))/((21/(-72))/r). Factor 2/7 + m*b**2 - 10/7*b.
2*(b - 1)*(4*b - 1)/7
Let z be 1/7 - (-27)/7. Let g**3 - 36*g**z - 2*g**5 + 2*g**2 + g**5 + 34*g**4 = 0. What is g?
-2, -1, 0, 1
Let j(w) be the second derivative of 0 - 2*w**3 - 3/2*w**4 + w - 3/2*w**2 - 1/10*w**6 - 3/5*w**5. Solve j(t) = 0.
-1
Let m(y) be the first derivative of 0*y**2 + 0*y + 10 + 0*y**3 + 1/9*y**4 + 2/9*y**5. Factor m(h).
2*h**3*(5*h + 2)/9
Let o(w) be the first derivative of 0*w + 3 - 1/210*w**5 + 1/28*w**4 + 1/2*w**2 - 2/21*w**3. Let t(j) be the second derivative of o(j). Factor t(h).
-2*(h - 2)*(h - 1)/7
Let p be (-32)/(-8)*2/8. Let w be p*3/(-2)*(-24)/18. Determine q so that -4*q - 2/3*q**w - 6 = 0.
-3
Let j = 137693/105547 - 1/4589. Let p = j - 51/92. Let 3/2*z + p*z**2 + 3/4 = 0. Calculate z.
-1
Let b = -3512 + 3512. Determine a, given that 0*a - 1/3*a**4 + 1/3*a**3 + 1/3*a**2 + b - 1/3*a**5 = 0.
-1, 0, 1
Let j be (-6)/30 + 22/10 - -2. Factor 16 - 67*y**j + 163*y**2 - 49*y**4 + 112*y + 100*y**3 + 77*y**2 - 9*y**4.
-(y - 2)*(5*y + 2)**3
Let w = -54 - -169/3. Let -2/3 + w*m + 3*m**2 = 0. What is m?
-1, 2/9
Let p(m) = -5*m**2 + 45*m - 45. Let q(l) be the first derivative of l + 4. Let r(y) = p(y) + 5*q(y). Factor r(j).
-5*(j - 8)*(j - 1)
Let t(q) be the first derivative of -5*q**4/4 + 125*q**3/3 - 715*q**2/2 - 845*q - 168. Factor t(r).
-5*(r - 13)**2*(r + 1)
Factor 2/11 - 2/11*y**2 + 0*y.
-2*(y - 1)*(y + 1)/11
Let n = 4519/3 - 1505. Factor 0 - 2*p - n*p**2 - 2/9*p**3.
-2*p*(p + 3)**2/9
Let c(o) = -3*o**2 + 6*o + o**2 + 12 - 3*o**2 + 6*o**2. Let f be c(-4). Factor -3/2*w - 3*w**2 + 0*w**3 + 3/2*w**5 + 0 + 3*w**f.
3*w*(w - 1)*(w + 1)**3/2
Let f(a) = -a**2. Let w(k) = 9*k**2 + 12*k. Let r(y) = -5*f(y) - w(y). Factor r(b).
-4*b*(b + 3)
Let -o**3 + 282*o**2 + 56*o - 572*o**2 + 284*o**2 - o**3 = 0. What is o?
-7, 0, 4
Let s = 6 + -2. Suppose -5*j = -5*h - 20, 0 = -5*j + s*h - h + 12. Factor