 - ((4 - -1) + -5). Let k*s - 6/5 - 3/5*s**2 = 0. What is s?
1, 2
Let x be 0*(6/2)/6. Suppose -100 = -x*z - 5*z. Factor 54 + 22*c + 22*c**3 - z*c**3 + 18*c**2 + 32*c.
2*(c + 3)**3
Determine x so that -54 - 8544*x**2 - 66 - 405*x**3 - 1100*x + 5934*x**2 = 0.
-6, -2/9
Suppose 0*o - o - 3*m = 0, 0 = -4*o + 5*m. Let a be o - 14/(-105)*5. Suppose 0 - 4/3*c**2 + 0*c - a*c**3 = 0. Calculate c.
-2, 0
Let z = -123 + 344. Let d be z/91 - (-4)/7. Determine s so that -1/2*s**2 - 1/4 + 3/4*s**4 + s - s**d = 0.
-1, 1/3, 1
Let l(m) = -m**2 + 23*m + 28. Let c(z) = -z**2 + 23*z + 27. Let a(u) = 4*c(u) - 3*l(u). Find o, given that a(o) = 0.
-1, 24
Let s(a) = -48*a**3 - 633*a**2 - 588*a - 153. Let l(h) = -12*h**3 - 158*h**2 - 147*h - 38. Let w(p) = -9*l(p) + 2*s(p). Factor w(c).
3*(c + 12)*(2*c + 1)**2
Factor 8*r + 4/7*r**2 + 52/7.
4*(r + 1)*(r + 13)/7
Factor -7 + y - y**3 - 2*y**3 + 11 + 2*y**3 + 0*y**3 - 4*y**2.
-(y - 1)*(y + 1)*(y + 4)
Let b(u) be the first derivative of -2*u**5/15 + 13*u**4/2 - 308*u**3/3 + 980*u**2/3 + 5488*u + 855. Suppose b(v) = 0. What is v?
-3, 14
Let v(p) be the first derivative of -p**4 + 2 - 8*p - 10*p**2 - 16/3*p**3. Factor v(w).
-4*(w + 1)**2*(w + 2)
Suppose 14 = r + 11*j - 14*j, 3*r - 27 = 4*j. Let o(z) be the second derivative of -1/10*z**6 - 5/2*z**3 + 3/4*z**4 + 0 - 2*z + 3*z**2 + 3/20*z**r. Factor o(d).
-3*(d - 1)**3*(d + 2)
Let r(t) = -t**2 - t + 4. Let i be r(0). Let a(h) be the second derivative of -1/40*h**5 + 1/2*h**2 + 1/12*h**3 + 0 - 1/12*h**i - 3*h. Factor a(f).
-(f - 1)*(f + 1)*(f + 2)/2
Let u = 7289/273 - 3/91. Let r = 27 - u. Factor 0 + 2/3*c**2 - r*c - 1/3*c**3.
-c*(c - 1)**2/3
Let d(b) be the first derivative of 8/3*b**3 - 4*b - 6 - 2*b**2 + 2*b**4 - 2/3*b**6 - 4/5*b**5. Factor d(m).
-4*(m - 1)**2*(m + 1)**3
Let i(c) be the third derivative of c**7/1680 - c**6/360 - c**5/80 - 10*c**3/3 + 7*c**2. Let z(s) be the first derivative of i(s). Factor z(v).
v*(v - 3)*(v + 1)/2
Let b(g) be the second derivative of -g**6/30 - 8*g**5/5 - 61*g**4/12 - 5*g**3 - 47*g. Find i, given that b(i) = 0.
-30, -1, 0
Let k(x) be the third derivative of 1600*x**6/3 + 80*x**5 + 5*x**4 + x**3/6 + 33*x**2 - 4*x. Factor k(a).
(40*a + 1)**3
Let p(a) be the third derivative of a**6/48 - 25*a**5/12 + 3565*a**4/48 - 2645*a**3/3 - 271*a**2. Suppose p(f) = 0. Calculate f.
4, 23
Factor 0 - 1/4*c**3 - 4*c + 17/4*c**2.
-c*(c - 16)*(c - 1)/4
Let h = -134126/3 + 44714. Factor -4/3*f**3 + 8*f**2 + h - 12*f.
-4*(f - 4)*(f - 1)**2/3
Let -18 - 3*u**5 - 1114*u**2 - 21*u + 1132*u**2 + 14*u**3 + 10*u**3 = 0. What is u?
-2, -1, 1, 3
Suppose 0 = -3*t + 11 + 10. Suppose -7*n**3 + 13*n**2 - 2*n**4 + n - t*n + n**5 + 4*n**4 - 3*n**4 = 0. Calculate n.
-3, 0, 1, 2
Let v be 1600/(-60)*3/(-2). Factor -v*n + 8*n**2 + 96*n**2 + 8 - 94*n**3 + 34*n**3 + 18*n**4 - 30*n**2.
2*(n - 1)**2*(3*n - 2)**2
Let z(i) = i**3 + 6*i**2 - 6*i + 16. Let k be z(-7). Factor -k*f**2 - 5*f**4 - 6*f**3 + 4*f**4 + f**4 + 3*f**4.
3*f**2*(f - 3)*(f + 1)
Let u be 4/3*30/(-35)*(-42)/24. Factor -3*f**5 + 0*f**u + 0 + 3/4*f**3 + 0*f + 9/4*f**4.
-3*f**3*(f - 1)*(4*f + 1)/4
Suppose -3 = 2*d - 31. Let z be ((-2)/6)/(d/(-84)). Factor 0 + 3/7*j**5 - 6/7*j**4 - 3/7*j + 0*j**3 + 6/7*j**z.
3*j*(j - 1)**3*(j + 1)/7
Let f = 50 + -45. Factor -5*u**3 + 11 - 5*u**4 - 11 - f*u**3 - 5*u**2.
-5*u**2*(u + 1)**2
Suppose 0 = -4*a - 4, -b + 7*a + 11 = 2*a. Let c(z) = 7*z**2 - 9*z. Let g(n) = -6*n**2 + 8*n. Let d(s) = b*g(s) + 5*c(s). Factor d(q).
-q*(q - 3)
Let v(w) be the second derivative of w**5/70 - w**3/21 - 158*w. Factor v(i).
2*i*(i - 1)*(i + 1)/7
Let s(z) be the third derivative of -z**6/48 + 29*z**5/60 - 151*z**4/48 - 35*z**3/6 - 3*z**2 + 43*z. Suppose s(p) = 0. What is p?
-2/5, 5, 7
Let l = 997 + -994. Factor 1/3*v - 1/3*v**l + 2/3 - v**2 + 1/3*v**4.
(v - 2)*(v - 1)*(v + 1)**2/3
Let a(d) = -d + 1. Let i(k) = 16*k**2 + 19*k + 8. Let m(z) = -3*a(z) - i(z). Let x(l) = 3*l**2 + 3*l + 2. Let n(s) = -2*m(s) - 11*x(s). Solve n(q) = 0.
-1, 0
Determine l so that 2/3*l**2 + 11552/3 - 304/3*l = 0.
76
Let d = -53409 - -53411. Let 10/7*v**d - 6/7*v - 4/7 = 0. Calculate v.
-2/5, 1
Let x be -7 - (-6 + -30)/6. Let k be (x + (-1)/(-3))*(-9)/2. Let 0*p**2 + 0 - 3/4*p**k + 1/4*p - 1/2*p**4 = 0. Calculate p.
-1, 0, 1/2
Let b be (20/8)/5*4. Suppose b*j = 3*q - 6, 2*q + 2 = 3*q + j. Determine f so that f**5 + 0*f**q + 0*f + 0 - 1/4*f**3 - 3/4*f**4 = 0.
-1/4, 0, 1
Let p be (5 + 10/8 + -6)*0. Let r(j) be the second derivative of 0*j**3 + 1/12*j**4 - 1/20*j**5 + p + 0*j**2 + 11*j. Solve r(s) = 0.
0, 1
Let u = 3567 - 3565. Factor 0 + 10/3*h**u + 5/3*h + 5/3*h**3.
5*h*(h + 1)**2/3
Let n(m) be the second derivative of m**6/6 + 23*m**5/4 + 715*m**4/12 + 605*m**3/6 - 38*m - 2. Factor n(q).
5*q*(q + 1)*(q + 11)**2
Let c be (-6984)/(-22140) - (-4)/(-82). Factor c*r**2 - 2/15 + 0*r**3 - 2/15*r**4 + 0*r.
-2*(r - 1)**2*(r + 1)**2/15
Let n(t) be the second derivative of 0 + 0*t**3 - 1/30*t**5 - 4*t - 2*t**2 - 1/12*t**4. Let a(h) be the first derivative of n(h). Factor a(m).
-2*m*(m + 1)
Let m = -9 + 13. Suppose 174*l - 100*l = 94*l. Factor l*f + 1/3*f**m + 0 + 1/3*f**3 - 2/3*f**2.
f**2*(f - 1)*(f + 2)/3
Let c(b) be the third derivative of b**6/120 + 151*b**5/60 + 1925*b**4/8 + 1875*b**3/2 + 166*b**2. Factor c(s).
(s + 1)*(s + 75)**2
Let z(o) be the third derivative of o**8/112 - o**6/8 + o**4/2 - 2*o**2 + 9. What is c in z(c) = 0?
-2, -1, 0, 1, 2
Let q(z) be the third derivative of z**8/168 - z**7/105 - z**6/20 + z**5/30 + z**4/6 - 5*z**2 + 14. Suppose q(l) = 0. What is l?
-1, 0, 1, 2
Let g(n) be the third derivative of n**5/360 + n**4/12 - 462*n**2. Find t, given that g(t) = 0.
-12, 0
Let w(i) = i**3 + 17*i**2 + 16*i + 4. Let h be w(-16). Suppose -o + 3 = 2*z, h*z - o - 15 = -0*o. Factor -2*c**2 - 2*c + 0*c - c**3 + 4*c - z*c.
-c*(c + 1)**2
Let s be ((-14)/(-21))/(1*24/9). Let t(x) be the first derivative of -s*x**3 + 9/4*x - 3 + 3/4*x**2. Let t(o) = 0. What is o?
-1, 3
Let c(r) be the first derivative of 2*r**6/3 - 376*r**5/5 + 2881*r**4 - 106880*r**3/3 - 124928*r**2 - 131072*r + 326. Determine z so that c(z) = 0.
-1, 32
Let w(g) be the third derivative of g**5/12 + 195*g**4/2 + 45630*g**3 - 604*g**2. Suppose w(x) = 0. What is x?
-234
Let h be 7/(-2)*(3 + -5). Suppose 5*j = -4*q + 8, 3*j - 6*j - 3 = 5*q. Solve -2*y**3 + 5*y**j - 5*y**2 + h*y**3 - 114 - 5*y + 114 = 0 for y.
-1, 0, 1
Let u(q) be the first derivative of q**6/24 - q**5/4 + 3*q**4/8 - 218. Suppose u(r) = 0. Calculate r.
0, 2, 3
Suppose 2*l - 18 = -12. Suppose -16*c + 16 - 4*c**3 - 12*c + 8*c**l - 4*c**2 + 12*c**2 = 0. Calculate c.
-4, 1
Let r(s) be the first derivative of -1/4*s**4 + 0*s**2 + 2/3*s**3 - 29 + 0*s. Let r(w) = 0. Calculate w.
0, 2
Factor -6 + 3/5*x**4 - 9*x**2 + 3/5*x**3 + 69/5*x.
3*(x - 2)*(x - 1)**2*(x + 5)/5
Factor 43*g**2 - 21*g + 4*g**4 - 15*g - 28*g**3 + 17*g**2.
4*g*(g - 3)**2*(g - 1)
Let v(m) = -m**2 + 12*m - 29. Let o be v(8). Suppose 4*u - 18 = o*f - 0*f, 2*u + 5*f + 4 = 0. Suppose 0*d**2 - 2/7 + 6/7*d - 8/7*d**u = 0. What is d?
-1, 1/2
Let f(a) be the second derivative of 4*a**2 + 1/3*a**4 + 5*a + 0 + 4/3*a**3 + 1/30*a**5. Let u(m) be the first derivative of f(m). Find q, given that u(q) = 0.
-2
Suppose -3*p = -5*p + 22. Suppose -4*t = -5 - p. Solve -5*l**4 - l**t - 14*l**2 + 4*l**2 - 14*l**3 - 2*l = 0.
-1, -1/3, 0
Let n = 102 + -95. Solve c**2 + 11 - 11 + 5*c - n*c = 0 for c.
0, 2
Let z = -41 - -20. Let s = z + 25. Factor 0 - 4/5*w + 0*w**3 + 2/5*w**s - 6/5*w**2.
2*w*(w - 2)*(w + 1)**2/5
Let u = 5 + 0. Let n(q) = -q**3 + 6*q**2 - 5*q + 2. Let k be n(u). Solve 0*j**4 - j**4 + 3*j**k - 2*j**4 = 0 for j.
-1, 0, 1
Let 1265*r**2 + 5120 - 633*r**2 - 320*r - 627*r**2 = 0. Calculate r.
32
Let o be -1 + 11 + (-38 - -28) + 2. What is c in -24/19 + 2/19*c**o + 22/19*c = 0?
-12, 1
Suppose g + 13 = 2*h - 4*h, 4*h + g = -25. Let k be ((-10)/(-3))/((-4)/h). Factor -y**2 + 0*y**4 + 5*y - k*y**5 + 10*y**4 - 6*y**2 - 3*y**2.
-5*y*(y - 1)**3*(y + 1)
Solve -a**2 + 0*a**2 - 9 + 6*a**2 - 21 + 25*a = 0.
-6, 1
Let x(z) = -20*z**3 - 260*z**2 + 295*z - 15. Let o(w) = 3*w**3 + 37*w**2 - 42*w + 2. Let c(n) = -15*o(n) - 2*x(n). Determine b, given that c(b) = 0.
-8, 0, 1
Find j such that -54*j - 16*j + 4*j**2 - 64 + 0*j**2 + 10*j = 0.
-1, 16
Find z, given that 0*z**4 + 2/7*z**3 + 