)*(7*y - 3)
Suppose -498 = -159*c - 21. Solve 0 - 3*x**4 + c*x**2 + 6/7*x**5 + 3/7*x**3 - 9/7*x = 0.
-1, 0, 1/2, 1, 3
Suppose -d = -421 + 407. Factor -8/7 + 8*t - d*t**2.
-2*(7*t - 2)**2/7
Let n = -109 + 107. Let a(h) = -4*h**3 + 4*h**2 + 17*h + 9. Let s(m) = -m**3 + m**2 + 4*m + 2. Let q(i) = n*a(i) + 9*s(i). Factor q(u).
-u*(u - 2)*(u + 1)
What is d in 0*d + 0 + 60/11*d**3 - 2/11*d**5 + 0*d**2 + 58/11*d**4 = 0?
-1, 0, 30
Let a(u) be the third derivative of -4*u**2 + 64/3*u**3 + 0 + 0*u + 5/6*u**5 + 20/3*u**4. Find q, given that a(q) = 0.
-8/5
Let o(p) be the second derivative of -1/16*p**4 + 0 + p**3 - 6*p**2 + 2*p. Factor o(b).
-3*(b - 4)**2/4
Let d(u) be the second derivative of u**7/280 - u**6/30 + u**5/8 - u**4/4 + 25*u**3/3 + u + 7. Let x(g) be the second derivative of d(g). Factor x(t).
3*(t - 2)*(t - 1)**2
Let m = -30477/7 - -4355. Determine s so that -24/7*s + 2*s**2 - m = 0.
-2/7, 2
Suppose 0*v + 2*v = -5*h + 12, -2*h + 2*v = -2. Suppose -5*i + 2*a + 4 = -h*i, 0 = 3*a - 3. Solve -2/5 + 2/5*d**i + 0*d = 0 for d.
-1, 1
Let o be (-14)/(-9) - (-180)/405. Factor 2/7*a**3 + 2/7*a**4 - 2/7*a**o + 0 - 2/7*a**5 + 0*a.
-2*a**2*(a - 1)**2*(a + 1)/7
Factor 286/17*p**2 + 0 + 2/17*p**4 + 50/17*p**3 - 338/17*p.
2*p*(p - 1)*(p + 13)**2/17
Let d(w) = 4*w**3 + 25*w**2 - 19*w. Let v(o) = -o**3 - 13*o**2 + 10*o. Let h(j) = -2*d(j) - 5*v(j). Let h(m) = 0. What is m?
0, 1, 4
Suppose -p + 2*y - 8 = 0, -3*p + 2*y + 28 = 36. Let n(h) be the second derivative of p*h**3 + 0*h**4 + 9*h + 1/90*h**6 + 0*h**2 + 1/60*h**5 + 0. Factor n(s).
s**3*(s + 1)/3
Let h(g) be the second derivative of g**5/4 + 65*g**4/4 - 135*g**3/2 + 205*g**2/2 - 8*g - 19. Find k, given that h(k) = 0.
-41, 1
Let s(j) = -8*j**4 - 44*j**3 - 254*j**2 - 444*j - 162. Let n(i) = 22*i**4 + 131*i**3 + 762*i**2 + 1331*i + 486. Let q(k) = -3*n(k) - 8*s(k). Factor q(f).
-(f + 2)*(f + 9)**2*(2*f + 1)
Let y(p) be the second derivative of -7*p**4/54 - 115*p**3/9 - 98*p**2/9 + 309*p. Determine c so that y(c) = 0.
-49, -2/7
Let y be -1 + (0 + -1)*-10. Solve 1 - 34*l**2 + 8*l**3 + 7 - 7*l**5 + y*l**3 - 20*l + 16*l**4 = 0.
-1, 2/7, 2
Let z(w) be the first derivative of -3*w**5/20 + 15*w**4/16 - 5*w**3/4 - 15*w**2/8 + 9*w/2 + 144. Determine i, given that z(i) = 0.
-1, 1, 2, 3
Suppose 4*n = -n - 10. Let k be -6 + 3 - (n + 10/(-6)). Let k + 2/9*d**3 - 10/9*d + 2/9*d**2 = 0. What is d?
-3, 1
Suppose -3*o + 5*h - 14 = 0, -6*o + 11*o - 3*h = -2. Factor 3/2*d**2 + 1/4*d**3 + 3*d + o.
(d + 2)**3/4
Let f(h) = -h**5 + h**3 + h**2 - 1. Let g(j) = 5*j**5 - 9*j**4 - 38*j**3 - 62*j**2 - 48*j - 10. Let n(t) = -6*f(t) - g(t). Determine o so that n(o) = 0.
-2, -1
Let y(h) = 4*h**2 + 4*h + 4*h + 9*h**2 - h**3 - 7 - 7*h**2. Let a be y(7). Factor 0 + 0*g**4 + a*g**2 - 1/3*g**3 + 0*g + 1/3*g**5.
g**3*(g - 1)*(g + 1)/3
Let f(t) = -4 - 1 - t + 0 + 2. Let a be f(-7). Determine v, given that -3*v**3 - a*v**2 + 4*v**3 + 2*v**3 + v**3 = 0.
0, 1
Suppose 2 = -x + h, 25 = -16*h + 21*h. Let l(n) be the second derivative of 4/3*n**6 + 0 + 16/3*n**x - 29/5*n**5 + 5*n**4 + 6*n - 8*n**2. Solve l(i) = 0 for i.
-1/2, 2/5, 1, 2
Let w be (3 + -7 + 6)/(6 - 2). Let o(x) be the second derivative of -1/2*x**3 - 1/4*x**4 - w*x**2 - 4*x + 0 - 1/20*x**5. What is m in o(m) = 0?
-1
Let c = -6166 - -6170. Let d = -1 - -1. Let -18/7*u**5 - 34/7*u**3 + d - 6/7*u**2 + 4/7*u + 54/7*u**c = 0. What is u?
-1/3, 0, 1/3, 1, 2
Let b be ((-4)/22 - 217/77) + (-1222)/(-376). Let d be (-16)/(-12) - (-1)/(-3). Solve d + b*v**2 - v = 0.
2
Find c such that -1/5*c**3 - 1/5 - 3/5*c - 3/5*c**2 = 0.
-1
Factor -3/8*d**2 + 33/4*d - 363/8.
-3*(d - 11)**2/8
Suppose -2 = -166*x + 164*x. Let b be (-4 - -4)/(x - 6/2). Find i, given that 1/3*i**2 - 1/3*i + b = 0.
0, 1
Let p = 7246/3 - 2415. Factor 2/3*v + 1/3 + p*v**2.
(v + 1)**2/3
Let h be 5*(-3 - (-21)/5). Factor c - h*c**5 + 9*c**5 + 2*c - 5*c**3 - c**3.
3*c*(c - 1)**2*(c + 1)**2
Let p(o) be the third derivative of 1/21*o**3 + 3*o**2 + 0 + 0*o + 1/210*o**5 - 1/42*o**4. Factor p(z).
2*(z - 1)**2/7
Let q = -18 + 19. Suppose 4*r - q - 7 = 0. Suppose -5/2*j**r + 7/2*j + 1/2*j**3 - 3/2 = 0. What is j?
1, 3
Let s(m) be the second derivative of m**5/240 - m**4/96 - m**3/12 + 6*m**2 + 5*m. Let f(c) be the first derivative of s(c). Determine d so that f(d) = 0.
-1, 2
Let d(r) be the first derivative of 3*r**5/25 + 171*r**4/20 + 1083*r**3/5 + 20577*r**2/10 - 82. Factor d(g).
3*g*(g + 19)**3/5
Let d(r) be the first derivative of -r**5/10 - r**4/2 - 13*r + 11. Let u(s) be the first derivative of d(s). Factor u(j).
-2*j**2*(j + 3)
Let f(u) be the second derivative of u**4/12 + 22*u**3/3 + 242*u**2 - u. Factor f(i).
(i + 22)**2
Let t be 4/(-9)*(-90)/20. Let x(h) be the second derivative of -3*h + 1/4*h**4 + 0 + 0*h**t + 0*h**3 - 3/20*h**5. Factor x(f).
-3*f**2*(f - 1)
Let j(p) = p + 4. Suppose 28*x + 41 + 15 = 0. Let f be j(x). Factor 3*w + 21/2*w**f + 0.
3*w*(7*w + 2)/2
Let l = -1/563 - -605/23646. Let c(o) be the second derivative of -2/21*o**3 + 0 + l*o**4 + 1/7*o**2 + 5*o. What is i in c(i) = 0?
1
Let j = -49/57 + 887/855. Let c(t) be the second derivative of 16/15*t**2 - j*t**3 + 1/90*t**4 + 0 + 3*t. Factor c(u).
2*(u - 4)**2/15
Let k be (6 - 9) + -1 + 9. Let x(i) be the second derivative of 6*i - i**k - 4*i**2 + 0 + 10/3*i**3 + 2/3*i**4. Factor x(c).
-4*(c - 1)*(c + 1)*(5*c - 2)
Let u = 11896 - 59478/5. Factor u*q - 2/5*q**3 - 2/15*q**2 + 2/15*q**4 + 0.
2*q*(q - 3)*(q - 1)*(q + 1)/15
Suppose 110*z = -1 + 1 - 0. What is s in -8/9*s**3 + 2/9*s**4 + z - 4/9*s + 10/9*s**2 = 0?
0, 1, 2
Suppose -46 = -11*k - 13. Let n(j) be the first derivative of j**2 + 0*j**4 + 0*j - 4/3*j**3 - 1/3*j**6 + 4/5*j**5 + k. Factor n(p).
-2*p*(p - 1)**3*(p + 1)
Let t(d) be the first derivative of -d**4/6 + 2*d**3/3 - 2*d**2/3 - 568. Factor t(g).
-2*g*(g - 2)*(g - 1)/3
Suppose 13/6*c + 1/3*c**3 - 29/6*c**2 + 7/3 = 0. What is c?
-1/2, 1, 14
Let t(q) be the first derivative of q**6/42 - 2*q**5/35 - 3*q**4/14 + 20*q**3/21 - 19*q**2/14 + 6*q/7 - 177. Factor t(u).
(u - 2)*(u - 1)**3*(u + 3)/7
Let j(n) be the third derivative of n**6/480 - 13*n**5/60 + 136*n**2 + n. Factor j(t).
t**2*(t - 52)/4
Let t be -1*3/(3/1). Let w(g) be the second derivative of -g**5/20 - g**4/3 + 3*g. Let d(s) = -s**3. Let l(x) = t*w(x) - d(x). Suppose l(r) = 0. Calculate r.
-2, 0
Let t(s) be the second derivative of -1/4*s**4 - 7/6*s**3 + 1/120*s**6 + 0*s**2 + 0 - 1/40*s**5 + 3*s. Let d(o) be the second derivative of t(o). Factor d(w).
3*(w - 2)*(w + 1)
Let o(i) be the third derivative of i**5/40 - 5*i**4/16 - 9*i**3 + 35*i**2 + 1. Factor o(q).
3*(q - 9)*(q + 4)/2
Let d(v) = -4*v**2 - 16*v - 12. Let b(q) be the second derivative of -q**4/12 - q**3/6 + 10*q. Let w(s) = -8*b(s) + d(s). Factor w(i).
4*(i - 3)*(i + 1)
Let h(o) be the third derivative of o**8/1176 - 2*o**7/735 - o**6/210 + 2*o**5/105 + o**4/84 - 2*o**3/21 - 14*o**2 - 1. Solve h(s) = 0.
-1, 1, 2
Let u be (-7)/10 - (230/(-20) - -10). Let l = -4/27 + 74/135. Factor u - l*q - 2/5*q**2.
-2*(q - 1)*(q + 2)/5
Let s(y) be the third derivative of 5*y**8/336 + y**7/14 - y**6/8 - 11*y**5/12 - 5*y**4/4 - 17*y**2. Factor s(g).
5*g*(g - 2)*(g + 1)**2*(g + 3)
Let g(b) be the first derivative of 5*b**4/12 - 5*b**3/3 - 34*b - 46. Let l(u) be the first derivative of g(u). Factor l(n).
5*n*(n - 2)
Let y(n) be the third derivative of -2*n**5/195 - 11*n**4/156 - 2*n**3/13 + 4*n**2 - 10. Factor y(d).
-2*(d + 2)*(4*d + 3)/13
Let i(q) = -q**2 + 55*q - 54. Let t(v) be the first derivative of v**3 - 96*v**2 + 189*v - 53. Let h(m) = 18*i(m) + 5*t(m). Solve h(g) = 0.
1, 9
Solve -1225*v**4 - 72*v + 8*v**5 + 2444*v**4 + 36*v**3 - 1261*v**4 - 17*v**2 + 103*v**2 - 72 = 0.
-1, -3/4, 2, 3
Let w be -1*15*2/(-2). Suppose g + w = 2*j + 5, 2*j + 6 = -3*g. Factor -4*o - o**2 + 8*o**2 + o**2 + 0*o**j - 3*o**3.
-o*(o - 2)*(3*o - 2)
Let i = 1143647/418 + -2736. Let o = i - -89/418. Factor 2/19*z**2 + 2/19*z**4 + o*z**3 + 0*z + 0.
2*z**2*(z + 1)**2/19
Let x(j) be the third derivative of j**5/240 - 35*j**4/96 + 11*j**3/4 + 144*j**2. Find y such that x(y) = 0.
2, 33
Let y(k) = -2*k**2 - 21*k + 18. Let o(p) = -p**2 - 11*p + 9. Let r(a) = 5*o(a) - 3*y(a). Let x be r(-9). Factor 0 + x*h - 1/3*h**4 - 4/3*h**2 - 4/3*h**3.
-h**2*(h + 2)**2/3
Let j(p) be the third derivative of -p*