 5*u - 16, j = r + r - 4*u - 20. Let -4*g**3 - 12*g**3 + 2 - 8*g**r + 0*g**5 + 4*g**5 + 12*g + 6 = 0. What is g?
-1, 1, 2
Suppose 4*r + 16*y - 15*y - 6 = 0, -2*y = -3*r + 10. Find t such that 0 + 2/7*t + 2/7*t**r = 0.
-1, 0
Let q be 1*(0 - (-16)/4). Suppose -2*g = -0*g - q*g. Factor 5/2*t**4 - t + g + 1/2*t**2 + 4*t**3.
t*(t + 1)**2*(5*t - 2)/2
Let y(k) be the first derivative of k**7/210 + k**6/225 - k**5/30 - k**4/15 + 11*k**3/3 - 5. Let o(v) be the third derivative of y(v). Factor o(c).
4*(c - 1)*(c + 1)*(5*c + 2)/5
Let m(b) be the second derivative of 5/4*b**3 - 75/8*b**2 + 0 - 1/16*b**4 - 10*b. Determine s so that m(s) = 0.
5
Let l(x) = -20*x**2 + 8*x - 8. Let u(q) = 7*q**2 - 3*q + 3. Let d(j) = 3*l(j) + 8*u(j). Factor d(g).
-4*g**2
Let o(n) be the second derivative of -n**5/34 - 2*n**4/51 + 31*n**3/51 - 6*n**2/17 - 568*n. Find g such that o(g) = 0.
-3, 1/5, 2
Suppose i = -1 + 3. Let u(v) = v**2 - 6*v + 6. Let r be u(6). Factor -2*n**i - r*n + 9 + 0*n**2 + 3*n**2.
(n - 3)**2
Factor 0 + 21/5*q**4 + 3/5*q**5 + 0*q**2 - 54/5*q**3 + 0*q.
3*q**3*(q - 2)*(q + 9)/5
Let w(q) be the first derivative of q**6/18 - q**5 + 4*q**4 - 44*q**3/9 - 124. Solve w(i) = 0.
0, 2, 11
Let i(t) be the third derivative of -t**8/2016 + t**7/1008 + t**6/216 - 4*t**3 - 23*t**2. Let s(h) be the first derivative of i(h). Let s(m) = 0. What is m?
-1, 0, 2
Suppose 4*j = -2*t + 4*t - 78, 159 = 4*t - 5*j. Factor -11*z**2 + t*z**2 - 14*z**2 - z - 17*z**2.
-z*(z + 1)
Let v(x) = x**3 - 12*x**2 - 18*x - 29. Let t be v(14). Let i = t - 109. Factor -1/8*j**i - 9/8 - 3/4*j.
-(j + 3)**2/8
Let d(y) = -13*y - 9. Let v be d(-5). Factor 24*f + v + 4*f**2 - 9 - 11.
4*(f + 3)**2
Let z(d) = 2*d**2 - 32*d - 16. Let s be z(17). Let h be (-2)/(-10) - (-2 - s/(-10)). Factor 2/5 + h*q**5 + 2/5*q - 4/5*q**3 + 2/5*q**4 - 4/5*q**2.
2*(q - 1)**2*(q + 1)**3/5
Let j = -25 + 28. Let r(u) = -u**4 + u**3 + u**2 - u + 1. Let d(w) = -18*w**4 + 24*w**3 + 117*w**2 - 231*w + 75. Let x(y) = j*r(y) - d(y). Factor x(n).
3*(n - 2)**2*(n + 3)*(5*n - 2)
Let m(x) be the first derivative of -2*x**3/7 + 264*x**2/7 - 11616*x/7 + 78. Factor m(c).
-6*(c - 44)**2/7
Let l be (-6)/(-56)*8216/237. Factor 72/7 - 2/7*p**3 + l*p**2 - 96/7*p.
-2*(p - 6)**2*(p - 1)/7
Let n = -579 + 2319/4. Factor n*w**2 - w + 0.
w*(3*w - 4)/4
Determine w, given that 8*w - 59*w**3 - 540*w**4 + 2325*w**2 - 388*w + 154*w**3 - 155*w**2 - 40 = 0.
-2, -2/27, 1/4, 2
Let x(f) = 5*f**2 + 35*f + 45. Let t(y) = -2*y**2 - 17*y - 23. Suppose -4*w + 3*w = 1, 0 = 4*c - 5*w - 17. Let o(q) = c*x(q) + 5*t(q). Factor o(j).
5*(j + 2)**2
Let k(i) be the second derivative of -2/5*i**6 + 4/7*i**5 + 8/7*i**4 + 0 - 16/7*i**3 - 38*i + 3/49*i**7 - 32/7*i**2. Factor k(z).
2*(z - 2)**3*(3*z + 2)**2/7
Let c = -6 - -5. Let b = 9 + c. Determine s, given that -b*s**4 + s**2 - 3 + 5*s**2 + 5*s**4 = 0.
-1, 1
Let v(n) be the second derivative of n**6/90 + 11*n**5/60 + 7*n**4/6 + 32*n**3/9 + 16*n**2/3 - n - 2. Solve v(c) = 0.
-4, -2, -1
Suppose -2651 = -14*x + 3859. Factor k**2 + 5*k**3 - 435*k - 11*k**2 - 25*k**2 + x*k.
5*k*(k - 6)*(k - 1)
Let s = 63 - 49. Let c(x) = 10*x + 8*x - 2*x - 3*x**3 + 3*x. Let f(w) = -w**3 + 6*w. Let p(j) = s*f(j) - 4*c(j). Factor p(q).
-2*q*(q - 2)*(q + 2)
Let p(c) be the first derivative of -c**6 - 51*c**5/5 + 33*c**4/4 + 17*c**3 - 27*c**2/2 + 342. Determine q, given that p(q) = 0.
-9, -1, 0, 1/2, 1
Let l be (-2 + 9/6)*-4. Factor 4*y**l + 146*y - 235*y + 113*y.
4*y*(y + 6)
Let p(v) be the second derivative of -v**6/30 + 7*v**5/20 - 7*v**4/12 - 5*v**3/2 + 3*v - 3. Solve p(k) = 0.
-1, 0, 3, 5
Suppose 30*p - 2352 = 18*p. Factor -p*a**2 + 40 - 201*a**2 + 402*a**2 + 30*a.
5*(a + 2)*(a + 4)
Suppose 44 = 11*w - 0*w. Let s(l) be the third derivative of 0*l + 10*l**2 - 1/420*l**6 - 1/21*l**w + 0*l**3 - 2/105*l**5 + 0. Solve s(v) = 0 for v.
-2, 0
Let i = -6476 + 6480. Factor 0*n + 0 + 0*n**3 - 1/4*n**2 + 1/4*n**i.
n**2*(n - 1)*(n + 1)/4
Let i(s) be the second derivative of s**6/10 - 9*s**5/20 - s**4/4 + 3*s**3/2 + 2*s. Factor i(d).
3*d*(d - 3)*(d - 1)*(d + 1)
Suppose -11*y + 266 = -4*y. Let l = y - 36. Suppose 4/15 + 0*x**l - 2/15*x**3 + 2/5*x = 0. Calculate x.
-1, 2
Let v(g) be the third derivative of g**7/8820 + g**6/2520 - g**5/210 - 7*g**4/12 - 22*g**2. Let s(h) be the second derivative of v(h). Factor s(n).
2*(n - 1)*(n + 2)/7
Let x(y) be the second derivative of 2*y**6/135 + 19*y**5/90 - 16*y**4/27 + 11*y**3/27 + 4*y + 34. Suppose x(l) = 0. Calculate l.
-11, 0, 1/2, 1
Let m(g) be the first derivative of 1/11*g**2 + 1 + 1/22*g**4 - 3*g - 1/110*g**5 - 1/11*g**3. Let i(w) be the first derivative of m(w). Factor i(x).
-2*(x - 1)**3/11
Let z(t) = t**2 - 38*t - 36. Let w be z(39). Factor -3/4*b**4 + 7/4*b**w - b + 0*b**2 + 0.
-b*(b - 2)*(b - 1)*(3*b + 2)/4
Let a(b) be the third derivative of b**5/12 - 5*b**4/4 - 35*b**3/6 - 164*b**2. Factor a(k).
5*(k - 7)*(k + 1)
Let k(p) be the first derivative of p**6/11 + 8*p**5/55 - p**4/22 - 4*p**3/33 + 40. Determine v, given that k(v) = 0.
-1, 0, 2/3
Let d be (-40)/(-50)*(-5)/(-7). Let i be (-1 - 44/(-42))/((-231)/(-693)). Factor -d + 12/7*t - i*t**4 - 13/7*t**2 + 6/7*t**3.
-(t - 2)**2*(t - 1)**2/7
Let x(s) = -2*s**2 + 12*s - 48. Let j(d) = -4*d**2 + 12*d - 45. Let y(f) = -2*j(f) + 3*x(f). Solve y(n) = 0 for n.
-9, 3
Let x(f) be the first derivative of 0*f + 1/12*f**4 - 1/6*f**2 + 0*f**3 - 9. Solve x(i) = 0 for i.
-1, 0, 1
Let d = 11701 + -11698. Solve -2/3*r**4 + 2/3*r - 2/3*r**d + 0 + 2/3*r**2 = 0 for r.
-1, 0, 1
Suppose 0 = 2*g - 3*h, g - h + 0 = 2. Suppose 4*p = p + g. Solve 5 - 5 + 3 - k**p - 3*k + k = 0.
-3, 1
Let n be 1*(-1)/2*-12. Let j be n/15 - (-4)/(-10). Find o, given that 3*o**2 + 0*o**3 + 3*o**3 + j*o**3 = 0.
-1, 0
Let f(t) be the second derivative of -5*t + 9/40*t**5 + 0 - t**2 + 1/8*t**4 - 2/3*t**3. Factor f(w).
(w - 1)*(3*w + 2)**2/2
Suppose 4 = 4*j - 5*a, -3*a + 1 = 4*j - 35. Suppose -r = -j - 0. Suppose -3*f**3 + 4*f**2 + f**3 + r*f**3 = 0. Calculate f.
-1, 0
Let a(b) be the second derivative of b**6/15 - 7*b**5/10 - 4*b**4/3 + 51*b - 2. Suppose a(c) = 0. What is c?
-1, 0, 8
Let j(d) be the second derivative of -d**6/30 - 3*d**5/20 + 15*d**4/4 - 27*d**3/2 - 489*d. Find r, given that j(r) = 0.
-9, 0, 3
Suppose 4*u + 0 = 16. Factor 20*y**2 - 3*y**5 + 5*y**5 - 68*y**u + 14*y - 36*y**3 - 30*y**5 + 2*y.
-4*y*(y + 1)**3*(7*y - 4)
Let w(a) be the second derivative of a**4/48 + 97*a**3/12 + 9409*a**2/8 - 272*a + 1. Solve w(u) = 0 for u.
-97
Let v(w) = 70*w**3 + w**2 + 2*w + 2. Let g be v(-1). Let u = g + 71. Factor 0 + 2/7*l**5 + 0*l**u - 4/7*l**4 + 2/7*l**3 + 0*l.
2*l**3*(l - 1)**2/7
Let b = 17 - 14. Suppose 0 = 2*j - 3*g - 21, 2*j = b*g - 2*g + 11. Find x, given that -2*x + x + 0*x + 2*x**2 - x**j = 0.
0, 1
Suppose -4*r + 3*g = 554, -94 = r + 4*g + 54. Let x be r/40*(-12)/14. Factor x*v**3 + 0*v + 0 - 9/2*v**4 + 0*v**2.
-3*v**3*(3*v - 2)/2
Let j = 211 - 208. Let d(i) be the first derivative of -2/27*i**j + 0*i + 0*i**2 - 5 - 1/18*i**4. Suppose d(g) = 0. Calculate g.
-1, 0
Let x(u) = -u + 14. Let v = 33 + -23. Let i be x(v). Find c such that -c**3 + 2*c**5 + 2*c**5 - c**i + c**2 - 4*c**5 + c**5 = 0.
-1, 0, 1
Suppose 36 = 4*h + 24. Find p such that -333*p + 348*p - 5*p**2 + 10 - 5*p**4 - 15*p**h - p**4 + p**4 = 0.
-2, -1, 1
Factor -10883 - 4*u**2 + 960*u - 27513 - 19204.
-4*(u - 120)**2
Let p(o) be the second derivative of o**4/72 + 22*o**3/9 - 8*o - 19. Factor p(n).
n*(n + 88)/6
Let l(a) = -11*a**2 + 14*a - 15. Let s(g) = -1 + 1 + 3 - 2. Let h(p) = -l(p) - 4*s(p). Let t(f) = -7*f**2 + 9*f - 7. Let z(i) = 5*h(i) + 8*t(i). Factor z(d).
-(d - 1)**2
Let s be ((-8)/(-10))/(5/(-50)). Let k(t) = -12*t**2 + 16. Let h(x) = x**2. Let d(l) = s*h(l) - k(l). Factor d(o).
4*(o - 2)*(o + 2)
Determine j, given that 3/2*j**5 + 12*j**2 - 6*j**3 + 0 - 3*j**4 + 0*j = 0.
-2, 0, 2
Suppose -a + 3*a = 12. Let w(y) = y**4 - 2*y**3 + 2*y**2 + 2*y - 1. Let q(o) = -o**2. Let x(g) = a*q(g) + 3*w(g). Find s, given that x(s) = 0.
-1, 1
Let r(w) be the third derivative of -7*w**6/180 + 11*w**5/9 - 73*w**4/36 - 10*w**3/3 + 466*w**2. Solve r(v) = 0.
-2/7, 1, 15
Let w(r) be the first derivative of r**3/7 - 6*r**2/7 - 59. Find k, given that w(k) = 0.
0, 4
Let j(w) be the first derivative of 4*w**5/35 + 3*w**4/7 + 8*w**3/21 + 24. Determine 