 + 30*d**2.
-2*(d + 123)**2
Find o, given that 1/7*o**5 - 5/7*o**3 + 4/7 + 1/7*o**2 - 1/7*o**4 + 8/7*o = 0.
-1, 2
Let z = 7055/616 + -87/88. Let q = -68/7 + z. Factor q + 3/4*n - 3/4*n**2 - 3/4*n**3.
-3*(n - 1)*(n + 1)**2/4
Let u be 4/6 - 1 - (-58)/30. Let p(c) be the second derivative of -6/5*c**2 + 0 - 4*c + u*c**3 + 9/20*c**4. Suppose p(k) = 0. What is k?
-2, 2/9
Solve 14*t**3 + 8*t**3 - 4*t**5 - 3*t**4 - 5*t**4 - 12*t**2 + 2*t**5 = 0.
-6, 0, 1
Let n(h) be the third derivative of h**5/10 + h**4/12 - 4*h**3/3 - 4*h**2. Let b(t) = -t**2 - 1. Let u(x) = -4*b(x) - n(x). Factor u(r).
-2*(r - 2)*(r + 3)
Let b be (-2 + (-3676)/(-1830))/((-24)/520). Let v = 2/61 - b. Factor 0 + v*i**5 + 2/3*i**3 + 0*i - 2/3*i**4 - 2/9*i**2.
2*i**2*(i - 1)**3/9
Let h(k) be the first derivative of 1/24*k**6 + 1/5*k**5 - k**3 + 14 + 0*k - 1/8*k**4 + 9/8*k**2. Let h(i) = 0. Calculate i.
-3, 0, 1
Let j be ((-957)/(-2))/(43 + -28) - 4/10. Suppose -6*d**2 - 15/2 - j*d = 0. What is d?
-5, -1/4
Let x be ((-940)/(-70) + -14)*(-14)/12. Let h = 251/147 - 2/49. Determine f so that 0 + 2/3*f + h*f**2 + x*f**3 = 0.
-2, -1/2, 0
Suppose -29*g = -28*g - 54. Let b be ((-6)/12)/(2/(-8)). Let 54 - g - p**2 + b*p = 0. What is p?
0, 2
Suppose -9 + 54 = 5*y. Determine n so that -n + y*n**2 + 0*n**2 + 6*n + n**2 - 5*n**3 - 10 = 0.
-1, 1, 2
Let b(p) = -20*p**4 + 14*p**3 + 85*p**2 - 61*p - 20. Let f(m) = -m**3 - m. Let w(g) = -b(g) + f(g). Solve w(j) = 0 for j.
-2, -1/4, 1, 2
Factor 1/5*i**3 - 92/5*i + 96/5 + 4*i**2.
(i - 2)**2*(i + 24)/5
Let j(u) = 2*u**4 + 28*u**3 + 101*u**2. Let k(w) = -2*w**4 - 28*w**3 - 100*w**2. Let t(z) = -2*j(z) - 3*k(z). Factor t(o).
2*o**2*(o + 7)**2
Let a(q) be the second derivative of -q**7/189 - q**6/135 + q**5/90 + q**4/54 - 180*q - 1. Find l such that a(l) = 0.
-1, 0, 1
Suppose 3*q - 2*t = 0, -2*t = 3*q + 2*q. Let w(x) be the first derivative of -5 - 1/30*x**5 + q*x - 1/12*x**2 - 1/6*x**3 - 1/8*x**4. Factor w(i).
-i*(i + 1)**3/6
Suppose -1 = -3*o - 5*h, -h + 1 = 2. Factor -u**3 - u**3 - 16*u**3 - 3*u**4 - 27*u**o.
-3*u**2*(u + 3)**2
Let b(v) be the third derivative of -v**9/20160 - v**8/6720 + v**7/840 - v**5/6 - 3*v**2. Let g(w) be the third derivative of b(w). Find p, given that g(p) = 0.
-2, 0, 1
Let c(z) be the second derivative of -z**6/90 - 3*z**5/5 - 27*z**4/2 - 3*z**3/2 + 18*z. Let a(k) be the second derivative of c(k). Suppose a(p) = 0. What is p?
-9
Suppose 0 = -5*b + 4*s, 4*b = 5*s - 10*s. Find u, given that 0*u**2 - 6/5*u**3 + 3/5*u**5 + b + 3/5*u**4 + 0*u = 0.
-2, 0, 1
Let v(p) = -3*p + 31. Let h be v(-11). Factor b**2 + 5*b**2 - 2*b**3 + 55*b - h*b + 5*b**3.
3*b*(b - 1)*(b + 3)
Suppose 0 = -19*x + 27*x - 24. Let z(n) be the third derivative of 0*n - 8*n**2 - 1/27*n**4 - 4/27*n**x - 1/270*n**5 + 0. What is s in z(s) = 0?
-2
Solve -78 - 3*y**2 - 24 - 399*y - 294 = 0 for y.
-132, -1
Let x = 26 - 24. Let -3*p**x - 64*p + 411 - 155 + 7*p**2 = 0. What is p?
8
Let v(c) be the third derivative of c**6/150 - c**5/75 - 3*c**4/10 + 6*c**3/5 - 80*c**2. Factor v(h).
4*(h - 3)*(h - 1)*(h + 3)/5
Suppose -3*k + 324 - 108 = 0. Determine p, given that 2*p**2 + 17*p + k + 5*p + 11*p - 9*p = 0.
-6
Determine p so that 3/8 + 1/4*p**3 - 7/8*p**2 + 1/4*p = 0.
-1/2, 1, 3
Let r(z) = 3*z + 3*z - 5*z + 0*z - z**2. Let n be r(1). Determine h, given that -h**3 + h + 0*h + n*h**3 = 0.
-1, 0, 1
Let b(o) be the third derivative of 1/14*o**4 - 1/35*o**5 + 1/210*o**6 + 0 - 2/21*o**3 + 0*o + 2*o**2. Suppose b(k) = 0. Calculate k.
1
Let w(f) be the first derivative of 9/8*f**4 + f**3 - 15/4*f - 9/4*f**2 + 3/20*f**5 + 34. Factor w(y).
3*(y - 1)*(y + 1)**2*(y + 5)/4
Let c(y) = -y**4 - y + 1. Let s(i) = -3*i**2 - 3*i - 5. Let t be s(-1). Let x(p) = 6*p**4 - 7*p**2 + 11*p - 5. Let g(m) = t*c(m) - x(m). Factor g(v).
-v*(v - 2)*(v - 1)*(v + 3)
Let l(p) be the second derivative of -p**5/20 + 139*p**4/4 - 19321*p**3/2 + 2685619*p**2/2 - 20*p. Suppose l(s) = 0. What is s?
139
Let w(a) be the second derivative of -3*a**7/14 - 7*a**6/10 + 9*a**5/10 + 10*a - 5. Solve w(f) = 0.
-3, 0, 2/3
Let z(y) = -5*y**3 + 6*y**2 - 2*y - 6. Let t = 43 + -57. Let p(v) = -2*v**3 + 3*v**2 - v - 3. Let k(r) = t*p(r) + 6*z(r). Factor k(d).
-2*(d - 1)*(d + 1)*(d + 3)
Let g(u) = -u + 8. Let l be g(-3). Let -l*b**2 + 3*b**3 + b**3 - b**3 + 3*b + 5*b**2 = 0. What is b?
0, 1
Let a(l) = -11*l + 26. Let o(h) = 7*h - 17. Let f(r) = 5*a(r) + 8*o(r). Let j be f(9). Determine z so that 9*z + 2 + 6*z**2 - 1 - 1 - j*z**3 = 0.
-1, 0, 3
Let h(z) be the first derivative of -z**5 + 5*z**3 - 5*z**2 + 393. Find b such that h(b) = 0.
-2, 0, 1
Suppose -14*v = 22*v - 72. Suppose 0*k + 0 + 0*k**v - 2/7*k**3 = 0. What is k?
0
Let c(b) be the second derivative of 51529*b**7/189 - 17479*b**6/45 - 51073*b**5/45 + 302*b**4/9 - 8*b**3/27 - 2*b - 583. Solve c(q) = 0.
-1, 0, 2/227, 2
Let l be 8/(-20)*(3 + -8). Factor l - 3*j**3 - 3*j + 4 - 6*j**2 + 6*j**3.
3*(j - 2)*(j - 1)*(j + 1)
Let j(i) be the first derivative of -32 - i**2 - 3*i**4 + 14/3*i**3 + 0*i. Determine k, given that j(k) = 0.
0, 1/6, 1
Let h be (-92)/22 - (-2)/11. Let u be 1 - ((-2 - h) + -3). Factor 32 - 32 - 6*v**u + 3*v.
-3*v*(2*v - 1)
Let w(v) = v**2 - 10*v + 19. Let u be w(8). Let c(j) be the first derivative of 0*j + 1/4*j**2 - 2 - 1/12*j**u - 1/16*j**4. Factor c(i).
-i*(i - 1)*(i + 2)/4
Let y(h) be the first derivative of 2*h**5/5 - 11*h**4/6 - 4*h**3/3 + 8*h**2/3 + 272. Find c, given that y(c) = 0.
-1, 0, 2/3, 4
Suppose -4 - 14 = -2*f - 2*v, -1 = f - v. Factor 7*l - 13*l + f*l**2 + 0*l - 2*l.
4*l*(l - 2)
Let w(f) be the second derivative of -1/6*f**2 + 0 - 1/24*f**5 - 1/8*f**4 - 1/180*f**6 - 7/36*f**3 - 5*f. What is t in w(t) = 0?
-2, -1
Factor -2/5*o**5 - 2/5*o**4 + 6/5*o**3 + 4/5*o + 0 + 2*o**2.
-2*o*(o - 2)*(o + 1)**3/5
Let f be (2 - 20/8)*-4. Suppose -f*v + 6 = 5*g + 2, 2*v - 4 = -4*g. Factor 3*i**v + i - 11 + 3 - 1 - 7*i.
3*(i - 3)*(i + 1)
Let y(s) = -18*s**2 - 38*s. Let l be y(-2). Find q, given that -1/2 + 0*q**2 - q**3 + q + 1/2*q**l = 0.
-1, 1
Let s be 8/22 + ((-280)/(-77) - 2). Let z(w) be the third derivative of -4*w**s + 5/8*w**4 + 0*w + 0 + 1/5*w**5 - 1/40*w**6 + 0*w**3. Solve z(v) = 0.
-1, 0, 5
Let j(o) be the second derivative of o**4/32 - 3*o**3/2 - 75*o**2/16 + 283*o. Find u such that j(u) = 0.
-1, 25
Let a(m) be the third derivative of -m**7/735 + 9*m**5/70 + 9*m**4/14 - 132*m**2. Suppose a(q) = 0. What is q?
-3, 0, 6
Let f = -149 + 154. Let h be f - 10/35*7. Suppose -2/7 - 13/7*n**2 + 11/7*n + 4/7*n**h = 0. What is n?
1/4, 1, 2
Let p(k) be the second derivative of 5*k**5/16 - 2065*k**4/48 + 43255*k**3/24 - 25215*k**2/8 + 322*k. Factor p(q).
5*(q - 41)**2*(5*q - 3)/4
Let u = 48 + -47. Let p be (-15)/5*(10/(-6) + u). Factor -9/2*h + 9/2*h**3 - 3*h**p + 3.
3*(h - 1)*(h + 1)*(3*h - 2)/2
Let u = -120 + 1082/9. Let f(w) be the first derivative of u*w**3 + 6*w + 2*w**2 + 2. Factor f(p).
2*(p + 3)**2/3
Let r(z) be the second derivative of z**4/12 - 2*z**3/9 + z**2/6 + 74*z. Factor r(m).
(m - 1)*(3*m - 1)/3
Let l(c) = -4*c**3 + 4*c**2 + 8*c - 8. Let m(z) = -3*z**3 + 3*z**2 + 5*z - 5. Let j(d) = -5*l(d) + 8*m(d). Suppose j(w) = 0. What is w?
0, 1
Let j = 28 + -24. Suppose j = w - 0*w. Find y, given that 40*y + 235*y**3 - 6*y + 7*y**5 + 42*y**5 - 145*y**2 - 175*y**w + 6*y - 4 = 0.
2/7, 1
Factor -8 - 5 + f**2 - 3*f**2 + 4 + 19*f.
-(f - 9)*(2*f - 1)
Let x be (-4)/((-77)/(-21) - 5). Suppose -x*q = -12*q + 18. Solve 4/7*l**q + 4/7*l - 8/7 = 0 for l.
-2, 1
Let h(z) be the third derivative of z**7/4725 - z**6/1350 + z**5/900 + 11*z**4/24 + 6*z**2. Let o(u) be the second derivative of h(u). Factor o(g).
2*(2*g - 1)**2/15
Let x be 25/(-5) - -1 - -4. Suppose -3*h - 5*q = -0*h + 14, -5*q - 20 = x. Suppose -8/7*n**h + 6/7*n**3 + 2/7*n**5 + 0 - 8/7*n + 8/7*n**4 = 0. Calculate n.
-2, -1, 0, 1
Let j(r) be the first derivative of 0*r**2 + 9 - 2/9*r**3 + 0*r. Find w, given that j(w) = 0.
0
Suppose 1 = 2*m - 4*z - 15, 12 = -4*z. Solve -11 - 16 - 3*u**m + 192*u - 210*u = 0 for u.
-3
Suppose -39*d**2 + 4*d**4 + 44*d**2 - 11*d + 51*d**2 + 28*d**3 - 9*d + 52*d = 0. What is d?
-4, -2, -1, 0
Determine x so that -171/7*x**2 + 12*x**3 + 0 + 9/7*x**4 - 66/7*x = 0.
-11, -1/3, 0, 2
Let x be 3 + -2 + 679 + -5*18/(-15). Factor -21/2*c**2 + 147*c + 1/4*c**3 - x.
(c - 14)**3/4
Let o = -68 + 7