0*v - 34*v**3 + 19*v**3 - 13*v**2 + 5*v**3 + 5*v**4 - 12*v**2.
5*v*(v - 3)*(v - 1)*(v + 2)
What is y in 27/4 - 9/2*y + 3/4*y**2 = 0?
3
Let t(s) be the third derivative of s**6/780 + 17*s**5/390 + 7*s**4/12 + 49*s**3/13 - 11*s**2 - 2*s. Factor t(z).
2*(z + 3)*(z + 7)**2/13
Let f(c) be the third derivative of c**8/6720 - c**6/240 - c**5/12 + 5*c**2. Let l(y) be the third derivative of f(y). Factor l(t).
3*(t - 1)*(t + 1)
Let v(r) be the second derivative of r**4/108 - r**3/18 + r**2/9 + r - 3. Factor v(s).
(s - 2)*(s - 1)/9
Let d be (-12)/(-5) - (-2)/(-5). Suppose 173 = 3*k + 158. Factor 4/7*m**k + 0 + 8/7*m**4 - 8/7*m**d - 4/7*m + 0*m**3.
4*m*(m - 1)*(m + 1)**3/7
Let f = -15936 - -15936. Factor q**3 + f*q + 0 + 0*q**2 - 4/3*q**4 + 1/3*q**5.
q**3*(q - 3)*(q - 1)/3
Let u = 2/2169 + 8642/36873. Suppose -6/17*f**5 + 0*f**2 + 0 + 14/17*f**4 + 0*f - u*f**3 = 0. What is f?
0, 1/3, 2
Determine b so that 8*b - 4/3*b**2 + 2/3*b**4 + 6 - 8/3*b**3 = 0.
-1, 3
Let c(t) be the third derivative of -t**7/245 + t**6/40 - t**5/140 - t**4/8 + 3*t**3/14 + 50*t**2 - t. Determine x, given that c(x) = 0.
-1, 1/2, 1, 3
Let y(w) be the second derivative of w**8/10080 + 2*w**7/945 + 2*w**6/135 - 4*w**4/3 - 38*w. Let r(g) be the third derivative of y(g). Let r(h) = 0. What is h?
-4, 0
Let x = -8 - -12. Solve 17*d**3 + 39*d**3 + 47*d**2 + 4*d**5 + 36*d + 24*d**x - 1 + 9 + 17*d**2 = 0.
-2, -1
Let d(u) be the first derivative of -4/3*u**2 - 2/9*u**3 - 5 - 8/3*u. Factor d(q).
-2*(q + 2)**2/3
Let n(k) be the third derivative of k**8/110880 + k**7/3960 + k**6/660 + 7*k**5/12 + 2*k**2. Let q(c) be the third derivative of n(c). Factor q(o).
2*(o + 1)*(o + 6)/11
Let f(k) = k**2 + 2*k - 9. Let l be f(5). Let i = -10 + l. Factor 2*x + 15*x**2 - 7 + i - 3*x**3 - 23*x.
-3*(x - 3)*(x - 1)**2
Suppose 15*r = 20*r - 10. Let d be (-94)/(-14) - 2/(-7). Factor d*u**2 + 6*u**2 - 6 + 3*u - 10*u**r.
3*(u - 1)*(u + 2)
Let b(u) be the second derivative of 2*u**6/15 + 2*u**5/5 + u**4/3 - 128*u. Solve b(p) = 0 for p.
-1, 0
Suppose 4*n - 8 = 12. Suppose n*b - 9 - 86 = 0. Let 16*a**3 + b*a**2 + 3*a**4 + 0 + 4 + 16*a + 5*a**2 + a**4 = 0. What is a?
-1
Suppose 4*t + 3*x = 35, -5*t + x + 42 = 3*x. Factor -2*f - t*f + 4*f**2 - 18*f + 24.
4*(f - 6)*(f - 1)
Factor -266/15*j + 354/5*j**2 + 8/15*j**3 + 0.
2*j*(j + 133)*(4*j - 1)/15
Factor 28*j**4 + 22*j**4 + 14*j - 5*j**5 + 81*j + 5*j**4 - 90*j**3 - 10*j**2 - 45.
-5*(j - 9)*(j - 1)**3*(j + 1)
Let g be ((-6)/(-6))/(0 - (-1)/2). Let q be (-3)/4*(8/(-6))/g. Determine y so that 0 + 1/4*y**3 + 1/4*y + q*y**2 = 0.
-1, 0
Let g(h) = -5*h**3 - h**2 + 2*h + 1. Let d(r) = 4*r**3 - 4 + 5*r**3 + 4*r**2 - 10*r + 15*r**3 + 0*r**3. Let n(l) = -6*d(l) - 28*g(l). Factor n(c).
-4*(c - 1)**2*(c + 1)
Suppose 6 + 4*u + 2/3*u**2 = 0. Calculate u.
-3
Let j(o) = 10*o**2 - 14*o. Let c(h) = 2*h - 26. Let i be c(17). Let q = -2 + 3. Let b(f) = -f**2 + f. Let n(a) = i*b(a) + q*j(a). Factor n(u).
2*u*(u - 3)
Let n(c) be the second derivative of -c**7/14 - c**6/10 + 87*c**5/20 - 79*c**4/4 + 40*c**3 - 42*c**2 + 17*c. What is a in n(a) = 0?
-7, 1, 2
Factor -3*q**2 + 2*q**2 - 20 + 244*q + 3*q**2 + 2562 + 4900.
2*(q + 61)**2
Suppose -3*a - 270 = -3*b, 4*a - 2*a = -10. Let t = b - 52. Find p such that -28*p**3 - 5 + t*p - 2 + 36*p**2 + 15*p - 9 = 0.
-1, 2/7, 2
Factor 1/5*c**2 + 31329/5 + 354/5*c.
(c + 177)**2/5
Let q(a) be the third derivative of a**8/56 + 7*a**7/90 + 19*a**6/360 - 4*a**5/45 - a**4/18 - 332*a**2. Solve q(i) = 0.
-2, -1, -2/9, 0, 1/2
Let q(a) = -2*a**2 - 6*a - 4. Suppose 5*r + t = -10 - 25, 5*r + 4*t + 50 = 0. Let f(d) = d**2 + 5*d + 4. Let l(x) = r*f(x) - 5*q(x). Factor l(s).
4*(s - 1)*(s + 1)
Let g(k) = 55*k + 38. Let v be g(29). Factor 0*f**3 + 547 + 108*f**2 + v + 972*f + 736 + 4*f**3.
4*(f + 9)**3
Let c = 734 + -3648/5. Factor -6/5 + c*v - 2*v**2 - 6/5*v**3.
-2*(v - 1)*(v + 3)*(3*v - 1)/5
Let q = -55 + 59. Factor -20*j**5 - 4*j**2 - 12*j**q + 36*j**5 + 12*j**3 - 12*j**5.
4*j**2*(j - 1)**3
Let p(w) = -w**3 + 8*w**2 + 9*w + 8. Let g be p(9). Suppose 4*o = g*o - 20. Find d such that 8*d - 9 + o*d - d**2 - 7*d = 0.
3
Let d(y) be the second derivative of -5*y**4/12 - 25*y**3/3 + 10*y. Determine z so that d(z) = 0.
-10, 0
Let s(f) be the first derivative of -5*f**3/3 - 20*f**2 - 68. Factor s(j).
-5*j*(j + 8)
Let t = 152 + -146. Factor 432*d**3 - 434*d**3 - t*d**2 - 5*d + d.
-2*d*(d + 1)*(d + 2)
Let g(p) be the first derivative of 0*p + 5/21*p**6 - 26 + 8/7*p**3 - 4/7*p**2 - 24/35*p**5 - 1/14*p**4. Solve g(i) = 0.
-1, 0, 2/5, 1, 2
Let s(a) = 6*a**2 - 28*a - 30. Let y(i) = 4*i**2 - 28*i - 29. Let u(t) = -3*s(t) + 4*y(t). Suppose u(n) = 0. Calculate n.
-13, -1
Let l be 14/6 - 4/(-6). Let j = -1 + 4. Suppose 3*u**5 - 2*u**3 + u**l - 2*u**3 + 3*u - j*u**3 = 0. What is u?
-1, 0, 1
Let o(n) be the third derivative of -1/6*n**4 + 0*n - 1/60*n**5 - 31*n**2 - 1/2*n**3 + 0. Suppose o(a) = 0. What is a?
-3, -1
Suppose 2*v = -3*v - 4*s + 4, 5*v - 36 = 4*s. Let y(b) be the first derivative of -3 - 3/5*b**v - 3/25*b**5 - 3/5*b**2 + 0*b - b**3. Let y(f) = 0. Calculate f.
-2, -1, 0
Let a(f) be the third derivative of -4*f**2 + 0 - 1/300*f**5 + 0*f**4 + 0*f + 0*f**3. Let a(h) = 0. Calculate h.
0
Let b(u) be the first derivative of -4*u**2 - 4/3*u**4 - 10/3*u**3 - 1/5*u**5 - 9*u + 8. Let t(j) be the first derivative of b(j). Solve t(f) = 0.
-2, -1
Let y = 13 + -13. Let s(b) be the third derivative of -1/27*b**3 - 1/270*b**5 + 1/54*b**4 + 0*b - 3*b**2 + y. Factor s(o).
-2*(o - 1)**2/9
Let m = -16218 + 113529/7. Factor 9/7*i - m*i**2 - 6/7.
-3*(i - 2)*(i - 1)/7
Let z(o) be the third derivative of 0 + 11*o**2 + 0*o - 7/18*o**4 + 5/3*o**3 - 1/90*o**5. Let z(p) = 0. Calculate p.
-15, 1
Let f = -190/13 - -2068/65. What is c in 8/5*c - 128/5*c**3 - 42/5*c**4 - f*c**2 + 8/5 = 0?
-2, -1, -1/3, 2/7
Let n = -2/1159 - -5803/4636. Factor 1/2*p**2 + n*p + 1/2.
(p + 2)*(2*p + 1)/4
Suppose 0*w - 2*w + 2 = -g, -2*g + 5*w = 7. Let 5*c**3 + 9*c**g - 8*c**4 - 6*c**4 = 0. Calculate c.
0, 1
Let i = -126 - -126. Let n(j) be the first derivative of i*j + 5 + 5/4*j**4 + 0*j**2 - 10/3*j**3. Suppose n(a) = 0. What is a?
0, 2
Let b(h) be the third derivative of -16/3*h**3 - 1/84*h**8 + 2*h**4 + 2/15*h**5 - 11/30*h**6 + 0*h + 0 + 42*h**2 + 4/35*h**7. Let b(l) = 0. Calculate l.
-1, 1, 2
Let s = 11 - 8. Find h such that 81 - 81 + 124*h**2 + 28*h**5 - 24*h + 20*h**4 - 148*h**s = 0.
-3, 0, 2/7, 1
Let j(h) = -2*h**3 + 47*h**2 + 5. Let m(n) = -n**2 + 1. Let u(v) = -2*j(v) + 10*m(v). Suppose u(g) = 0. What is g?
0, 26
Factor -3/7*j**5 + 0*j**4 + 0 + 0*j**2 - 48/7*j + 24/7*j**3.
-3*j*(j - 2)**2*(j + 2)**2/7
Let m be (20/(-250)*4*-5)/((-56)/(-20)). Suppose -2/7*p**2 + 4/7*p - 1/7*p**4 - m*p**3 + 3/7 = 0. Calculate p.
-3, -1, 1
Let s be (-3)/1 + 26 + 1. Let o = -45/2 + s. Factor 3*m**3 + o*m**4 + 0*m + 3/2*m**2 + 0.
3*m**2*(m + 1)**2/2
Suppose 2*s + 10 = l, 2*l + 1 = -5*s - 6. Let k be ((-28)/(-8) - 3) + l. Solve k*m + 7/8*m**3 - 15/4*m**2 - 1 = 0 for m.
2/7, 2
Let m = 1085 + -1081. What is n in -10*n**5 + 110/7*n**3 - 2*n**2 - 8/7 - 40/7*n + 22/7*n**m = 0?
-1, -2/5, -2/7, 1
Let j = 933 + -924. Let m(d) be the second derivative of 1/3*d**4 - 1/10*d**5 - j*d + 0*d**2 - 1/3*d**3 + 0. Factor m(x).
-2*x*(x - 1)**2
Let v(t) be the third derivative of t**8/336 + 2*t**7/105 + t**6/20 + t**5/15 + t**4/24 - 6*t**2 + 1. What is s in v(s) = 0?
-1, 0
Let b(y) be the first derivative of 1/96*y**4 + 1 + 5*y + 1/48*y**3 + 0*y**2. Let d(u) be the first derivative of b(u). Solve d(k) = 0.
-1, 0
Let a be (1/(-12))/((-5)/(120/9)). Let f(o) be the first derivative of -a*o**3 + 4 + 0*o**2 + 2/3*o. What is m in f(m) = 0?
-1, 1
Let q be 6 - (-3)/(-2)*10/15. Let a(n) be the first derivative of 0*n + q - 2/9*n**3 - 2/3*n**2. Solve a(k) = 0.
-2, 0
Let f(j) = j**5 - j + 1. Let r(y) = 6*y**5 + 6*y**4 + 3*y**3 - 3*y + 3. Let q(h) = 3*f(h) - r(h). Factor q(o).
-3*o**3*(o + 1)**2
Find z, given that -3/4 + 3/8*z**3 - 9/8*z + 0*z**2 = 0.
-1, 2
Let n(q) be the third derivative of 0 - 1/20*q**6 - 20*q**2 + 0*q**4 + 1/210*q**7 - 1/15*q**5 + 0*q + 1/224*q**8 + 0*q**3. Determine f, given that n(f) = 0.
-2, -2/3, 0, 2
Let k(c) be the third derivative of 0 + 1/80*c**6 + 1/420*c**7 + 0*c**3 + c**2 + 0*c**4 + 1/60*c**5 + 0*c. Find a, given that k(a) = 0.
-2, -1, 0
Let 590