-88 - -93. Suppose 4*d**2 + 0 - 56*d**n + x*d**4 + d**5 + 0 + 64*d**3 = 0. Calculate d.
-2, -1, 0
Let h(n) = -3*n + 4. Let o(l) = 4*l - 5. Let y(r) = 3*h(r) + 2*o(r). Let m be y(2). Factor 0*d**3 + 4/7*d**4 - 4/7*d**2 + m - 2/7*d + 2/7*d**5.
2*d*(d - 1)*(d + 1)**3/7
Let x be 10/8*(-2)/(-5). Suppose -h - 18 = -10*h. Factor 0 - x*l**3 - 1/2*l**h + l.
-l*(l - 1)*(l + 2)/2
Suppose -2*y = -2*t + 54, -2*y - 3*t = -y + 19. Let g = y + 27. Let 1/4*m**3 + m**g + 0 + m = 0. What is m?
-2, 0
Let x(a) = 12*a**2 - 28. Let g be x(-4). Suppose 0 = -g*h + 160*h. Factor h - 4/7*l**2 - 2/7*l.
-2*l*(2*l + 1)/7
Factor -1460 + 2*o**2 - 14*o + 2891 - 1467.
2*(o - 9)*(o + 2)
Let c(v) be the first derivative of 5*v**3/3 - 15*v**2 + 25*v + 71. Let c(m) = 0. Calculate m.
1, 5
Let d = -124 - -1243/10. Let m(r) be the second derivative of 0*r**4 + 0*r**2 - 1/14*r**7 + d*r**5 - 1/2*r**3 + 0 + 0*r**6 + 4*r. Find j, given that m(j) = 0.
-1, 0, 1
Let g(i) = 9*i**5 - 2*i**4 + 7*i**2 + i - 5. Let u(n) = -11*n**5 + n**4 - n**3 - 7*n**2 + 6. Let z(w) = -6*g(w) - 5*u(w). Factor z(c).
c*(c - 1)*(c + 1)**2*(c + 6)
Let g(s) = -s**4 + s**3 - s - 1. Let h(f) = -6*f**4 + 9*f**3 - 4*f**2 - 3*f - 4. Suppose -7 = 4*a - 55. Let k(l) = a*g(l) - 3*h(l). Solve k(q) = 0.
0, 1/2, 1
Suppose -50*u + 31*u = -171. Let j(l) be the second derivative of 0 + u*l**2 + 4*l - 2*l**3 + 1/6*l**4. Let j(a) = 0. What is a?
3
Let p(t) be the third derivative of -t**5/300 - 7*t**4/12 - 245*t**3/6 + 293*t**2. Factor p(o).
-(o + 35)**2/5
Suppose 12*p**2 + 4*p**4 + 8*p - 6*p**4 - 15 + 20 - 2*p**3 - 21 = 0. Calculate p.
-2, 1, 2
Let p(o) be the first derivative of -2*o**3/3 + 12*o**2 + 56*o - 69. Determine n so that p(n) = 0.
-2, 14
Let q = -28238 + 141196/5. Find m, given that 8/5*m**2 + 13/5*m + 1/5*m**3 + q = 0.
-6, -1
Determine p so that 1/2*p**2 + 27/4 + 55/4*p = 0.
-27, -1/2
Suppose -x + 2954 - 315 = 0. Suppose -20*d**3 + d**4 + 2639*d - 6*d**4 + 20*d**2 + 5*d**5 - x*d = 0. What is d?
-2, 0, 1, 2
Let j(p) be the third derivative of p**5/110 + 37*p**4/44 + 36*p**3/11 - 565*p**2. Factor j(i).
6*(i + 1)*(i + 36)/11
Suppose 4 - 186*k**3 + 2 + 334*k**3 + 9*k - 36*k**2 - 208*k**3 = 0. Calculate k.
-1/2, 2/5
Factor -3*q**2 + 0 + 25 - 30*q + 9*q**2 - q**2.
5*(q - 5)*(q - 1)
Let i(f) = -7*f**3 + 27*f**2 - 53*f - 62. Let o(m) = -6*m**3 + 26*m**2 - 52*m - 64. Let n(k) = 4*i(k) - 5*o(k). Solve n(q) = 0 for q.
-1, 6
Let s = -1690 - -1693. Let w(b) be the third derivative of -1/9*b**s + 2*b**2 + 0 - 1/72*b**4 + 1/90*b**5 + 0*b + 1/360*b**6. Factor w(i).
(i - 1)*(i + 1)*(i + 2)/3
Suppose 4*r + 0*r + 4*k - 24 = 0, k - 26 = -5*r. Determine g so that 0 - 4/3*g**4 - 10/3*g**r + 4/3*g**2 + 16/5*g**3 + 2/15*g = 0.
-1, -1/5, 0, 1
Suppose -5*o = 4*n - 18, -5*o = n + n - 14. Find t, given that -30*t**3 - 25*t**4 + 10*t**o + 35*t + 3 + 4 + 8 - 5*t**5 = 0.
-3, -1, 1
Let m(k) be the third derivative of -k**8/80640 - k**5/10 + 11*k**2. Let v(l) be the third derivative of m(l). Factor v(b).
-b**2/4
Factor -76*t + 223*t - 69*t - t**2 - 4 - 73*t.
-(t - 4)*(t - 1)
Let y = 27 - 34. Let j be (-2)/(-8) + y/(-14). Find m, given that -1/4*m**4 + 0 + 3/4*m**3 - j*m**2 + 1/4*m = 0.
0, 1
Let n be ((-78)/9 - -7)*12/(-10). Suppose -4*q + 7*q - n*y = -10, -4*q = -5*y + 25. Determine r, given that 0 - 2/9*r**2 + q*r = 0.
0
Let c(m) be the third derivative of -1/40*m**6 + 1/112*m**8 + 0*m**3 + 1/20*m**5 + 0 + 0*m - 7*m**2 + 0*m**4 - 1/70*m**7. Determine t, given that c(t) = 0.
-1, 0, 1
Let x be (-7954)/(-4592) + (-14)/16. Factor -x*h**3 + 2*h - 4/7 - 4/7*h**2.
-2*(h - 1)*(h + 2)*(3*h - 1)/7
Factor 0*x**2 + 0 + 0*x + 2/21*x**5 + 0*x**4 - 2/21*x**3.
2*x**3*(x - 1)*(x + 1)/21
Let b(x) be the second derivative of -115/18*x**3 - 25/3*x**2 + 0 + 25/36*x**4 - 8*x. Determine r, given that b(r) = 0.
-2/5, 5
Let d be 16/96 + (-53)/(-6). Factor 18*f**4 + 15*f**4 - 40*f**2 - d*f**4 + f**4 + 90*f**3.
5*f**2*(f + 4)*(5*f - 2)
Suppose 0 = -3*u - 2*v + 9, 4*v - 7*v = 0. Let f(x) be the second derivative of 0*x**u + 4*x + 1/2*x**2 + 0 - 1/3*x**4. Find d, given that f(d) = 0.
-1/2, 1/2
Solve -71/2*j**3 - 127/2*j**4 + 205*j**2 + 16 - 10*j**5 - 112*j = 0.
-4, 1/4, 2/5, 1
Let b be 12/7 + 4/14. Let o(v) = -22*v - 1228. Let n be o(-56). Factor -3*r**2 - 1/2*r**4 + n + 5/2*r**3 - b*r.
-(r - 2)**3*(r + 1)/2
Let c(v) be the third derivative of 0*v**6 + 1/72*v**3 + 0 + 0*v + 1/2520*v**7 - 1/360*v**5 + 0*v**4 - 28*v**2. Factor c(p).
(p - 1)**2*(p + 1)**2/12
Find s, given that 56/23 + 214/23*s**2 + 68/23*s**3 + 6/23*s**4 + 232/23*s = 0.
-7, -2, -1/3
Factor -4*a**2 + a**3 - a - 36 + 6*a**2 + 4*a**2 - 3*a + 3*a**2.
(a - 2)*(a + 2)*(a + 9)
Let l be 55610/(-112) - 21/(-56). Let k = l - -500. Let 6/7 + 3*m**2 - k*m = 0. Calculate m.
2/7, 1
Let l = 463/150 + -121/50. Factor -8/9*w + 2/9*w**2 + l.
2*(w - 3)*(w - 1)/9
Let x be (2310/(-27))/(-7) + -12. Factor x*j**3 + 8/9 - 2/9*j**2 - 8/9*j.
2*(j - 2)*(j - 1)*(j + 2)/9
Suppose 2 + 4 = 3*m. Factor m*i**4 - 18*i**5 + 13*i**5 - 2*i**4.
-5*i**5
Let d = 137/2 - 67. Let g = -39 + 43. Find o, given that -24 - 36*o**2 - 48*o - d*o**g - 12*o**3 = 0.
-2
Let w(u) be the third derivative of u**7/45 + u**6/90 - 7*u**5/30 - 5*u**4/9 - 4*u**3/9 - 29*u**2 - 2. Solve w(y) = 0.
-1, -2/7, 2
Let w be (3/(-2))/((-63)/28). Let u(h) be the first derivative of 1 + 0*h**2 + 0*h + w*h**3. Factor u(l).
2*l**2
Let q(t) be the second derivative of -1/6*t**3 + 1/6*t**2 + 0 - 1/60*t**5 + 1/12*t**4 + 11*t. Let q(v) = 0. What is v?
1
Let a(o) = o**3 + 6*o**2 + 7*o + 9. Let t be a(-6). Let y = -65/2 - t. Let -s**3 + y*s**5 + s**2 + 1/2*s - 1/2*s**4 - 1/2 = 0. Calculate s.
-1, 1
Determine x so that 42 + 49*x**2 - 42 - 62*x - 48*x**2 = 0.
0, 62
Find n, given that -6*n**3 + 6*n**4 - 8*n**4 + 6*n**3 - 2*n**3 = 0.
-1, 0
Let t(s) be the third derivative of s**7/280 - s**6/80 - 23*s**5/80 + 3*s**4/4 + 18*s**3 - 12*s**2 - 4*s. Factor t(k).
3*(k - 4)**2*(k + 3)**2/4
Let v(h) be the second derivative of h**7/21 + h**6/5 - 13*h**5/10 - 47*h**4/6 - 16*h**3 - 16*h**2 - 256*h. Let v(t) = 0. Calculate t.
-4, -1, 4
Solve 262/13*g**2 - 200/13*g**4 + 222/13*g - 320/13*g**3 + 36/13 = 0.
-2, -3/10, 1
Let f(c) = 7*c**2 + 4*c + 3. Let t be f(-1). Factor 29*w**2 - 30*w**3 + 6 - 3 + 9*w**4 - 12*w - t*w + 7*w**2.
3*(w - 1)**3*(3*w - 1)
Let h be 18/(-5)*(42/(-4) + 8). Suppose 0 = h*s - s - 16. What is p in 2/7*p + 0 - 2/7*p**s = 0?
0, 1
Let l(v) be the third derivative of -v**7/1155 + 13*v**5/330 + v**4/11 + 655*v**2. Suppose l(o) = 0. Calculate o.
-3, -1, 0, 4
Let c(x) = 7*x**2 + 21*x + 2. Let o(y) = -4*y**2 - 13*y - 1. Let q(j) = 6*c(j) + 10*o(j). Let q(n) = 0. Calculate n.
1
Suppose -14*a + 80 = 24. Let g(j) be the second derivative of 1/3*j**a - 3*j - 2*j**2 + 0 + 0*j**3. Factor g(l).
4*(l - 1)*(l + 1)
Suppose 24 = 5*i - 4*w + 2, -2*w = 4*i - 28. Suppose 5*c - 5*t = 20, -4*t + 0 + 2 = 5*c. Determine v so that -i*v - 6 + 4 + 2 - 3 - 3*v**c = 0.
-1
Solve -3*s**2 - 8*s + 15*s - 7*s - 21 + s**3 - 25*s = 0.
-3, -1, 7
Let z = 234 - 229. Suppose 9*q - 10*q = z*f + 12, 9 = q - 2*f. Suppose -3/2*h + 3/2 - 3/2*h**2 + 3/2*h**q = 0. What is h?
-1, 1
Solve -2/9*u**3 - 128/3*u - 20/3*u**2 + 1024/9 = 0 for u.
-16, 2
Let l(z) be the second derivative of z**4/3 + 16*z**3/3 - 18*z**2 + 4*z + 23. Factor l(h).
4*(h - 1)*(h + 9)
Let o(n) be the first derivative of n**7/42 - 7*n**6/150 - 2*n**5/25 + n**4/15 + 21*n + 22. Let x(j) be the first derivative of o(j). Let x(t) = 0. What is t?
-1, 0, 2/5, 2
Let z(n) be the first derivative of 4*n**5/15 - 7*n**4/6 + 2*n**3 - 5*n**2/3 + 2*n/3 + 623. Factor z(t).
2*(t - 1)**3*(2*t - 1)/3
Factor 176 - 118 + 5*t**2 + 5*t - 88.
5*(t - 2)*(t + 3)
Let a(t) be the first derivative of t**6/4 + 21*t**5/10 - 3*t**4 - 843. Factor a(w).
3*w**3*(w - 1)*(w + 8)/2
Suppose -1856*h + 1853*h = -12. Let u(w) be the second derivative of h*w - 1/3*w**4 + 0 - 4*w**2 - 2*w**3. Factor u(y).
-4*(y + 1)*(y + 2)
Let z(y) be the second derivative of y**5/20 - y**4/12 - 2*y**3 + 2*y**2 - 2*y. Let w be z(5). Solve 16 + 3*p + w*p + 17*p + 28*p**2 = 0 for p.
-2, -2/7
Suppose 3*b - 10 - 5 = 0. Suppose b*j - j = 0. Let 4/3*w**2 + 0*w - 4/3*w**3 + 1/3*w**4 + j = 0. Calculate w.
0, 2
Let y(j) be the third derivative of 7*j**5/165 + 25*j**4/132 - 2*j**3/11 - 4*j**2 - 7*j. Factor y(w).
2*(w + 2)*(14*w - 3)/11