4/3*x + 7/3*x**2 + 16/9*x**3 - y. What is i in a(i) = 0?
-1, -2/3
Let p(y) = -y**2 - 5*y + 4. Let q(s) = -s**2 - 4*s + 3. Let m(x) = 5*p(x) - 6*q(x). Let r be m(2). Factor -r*h**2 + 1 - 4*h + 4*h**3 + 3 + 0*h**3.
4*(h - 1)**2*(h + 1)
Suppose 0 = 2*p - 6*p + 16. Factor -3*a**3 - 2*a**p + 8*a**5 + 1 - 4*a - 1 + 8*a**2 - 7*a**5.
a*(a - 2)*(a - 1)**2*(a + 2)
Let x = 61 + -116. Let a = -109/2 - x. Find j, given that -a + 1/3*j + 1/6*j**2 = 0.
-3, 1
Solve 133*u + 227*u**4 - 152*u - 228*u**4 - 14 + 3*u**2 + 7*u**3 = 0 for u.
-1, 2, 7
Let h be (-89)/(-185) - 0*(-6)/36. Let p = h + -3/37. Solve -p + 4/5*l - 2/5*l**2 = 0.
1
Let w be 8*(-20)/(-8)*3/15. Factor -12 + 50*m + 21*m**2 + w*m**2 - 7*m**2.
2*(m + 3)*(9*m - 2)
Determine w so that -10*w**2 - 91 - 7*w - 6*w**3 + 5*w + 93 = 0.
-1, 1/3
Let a(y) be the second derivative of -6*y**2 + 1/4*y**4 + 0 - 2*y**3 + 3/20*y**5 + 8*y. Factor a(u).
3*(u - 2)*(u + 1)*(u + 2)
Let -6/7*a**3 + 0 - 60/7*a + 66/7*a**2 = 0. What is a?
0, 1, 10
Let o(m) be the second derivative of -2/9*m**3 - 9*m + 1/36*m**4 + 1/2*m**2 + 0. Factor o(g).
(g - 3)*(g - 1)/3
Let b(l) be the third derivative of l**6/960 - 13*l**5/60 - 211*l**4/192 - 53*l**3/24 + 3*l**2 + 33. Solve b(z) = 0 for z.
-1, 106
Suppose -206*b + 22 = -195*b. What is r in 1/6*r**5 + 1/3*r + 7/6*r**b + 5/6*r**4 + 0 + 3/2*r**3 = 0?
-2, -1, 0
Let g(n) be the second derivative of -2*n**6/15 + 12*n**5/5 - 17*n**4/3 - 20*n**3 + 110*n - 1. Let g(r) = 0. What is r?
-1, 0, 3, 10
Let i = -299 - -299. Let d(l) be the third derivative of 0*l - 11/60*l**5 + 1/3*l**3 + 3/8*l**4 - 2*l**2 + i. Factor d(y).
-(y - 1)*(11*y + 2)
Let l(f) be the first derivative of -f**4/6 + 14*f**3/9 - 4*f**2 - 326. Factor l(q).
-2*q*(q - 4)*(q - 3)/3
Let n(s) be the first derivative of -2*s**3/3 + 9*s**2/2 - 4*s + 31. Let g be n(4). Factor -1/2*h**4 + g*h + 0*h**2 + 0 + 0*h**3.
-h**4/2
Let u = -7984/5 - -1597. Let o(j) be the first derivative of -1/2*j + 1/2*j**4 - u*j**5 - 5/8*j**2 + 1/2*j**3 - 12 - 1/8*j**6. Determine t, given that o(t) = 0.
-2, -1, -1/3, 1
Let x(y) be the third derivative of y**7/140 - y**6/120 - 5*y**5/24 + 7*y**4/12 + y**3 - 357*y**2. Solve x(k) = 0 for k.
-3, -1/3, 2
Let u(y) be the first derivative of -2*y**5/85 - 9*y**4/17 - 72*y**3/17 - 216*y**2/17 - 91. Suppose u(s) = 0. What is s?
-6, 0
Suppose -11*r + 16*r = 15. Let u be (220/16)/(-11) + (-1054)/(-24). Factor 32*f + u + 8*f**2 + 2/3*f**r.
2*(f + 4)**3/3
Let d(s) = -s**3 + s**2 - 1. Let r(i) be the first derivative of -2*i - 1/4*i**4 - 4*i**2 - 1/3*i**3 + 9. Let w(g) = -6*d(g) + r(g). Factor w(l).
(l - 2)*(l + 1)*(5*l - 2)
Factor 7*n**2 + 138 - 3*n**2 - 126 - 16*n.
4*(n - 3)*(n - 1)
What is s in -2 - 3/4*s**2 + 1/4*s**4 + s**3 - 7/2*s = 0?
-4, -1, 2
Find m, given that -89*m - 79*m - 4*m**3 - 12*m**2 + 168*m = 0.
-3, 0
Let p(r) be the second derivative of -726*r**6/5 - 4488*r**5/5 - 4888*r**4/3 - 1088*r**3/3 - 32*r**2 + 1003*r. Factor p(d).
-4*(d + 2)**2*(33*d + 2)**2
Factor 16*y**2 + y**3 - 21*y**2 - 36 + 15*y + 5*y**2 + 11*y**2 + 9*y.
(y - 1)*(y + 6)**2
Find b, given that -370*b**4 - b + 379*b**4 - 3*b - 37*b**3 + 40*b**2 = 0.
0, 1/9, 2
Solve -260*i + 250*i - 3*i**4 - 2*i**2 + 12*i**2 - 2*i**4 + 5*i**2 = 0 for i.
-2, 0, 1
Suppose -q - 515 = -521. Let k(d) be the second derivative of 0 - 1/45*d**6 - 1/6*d**4 + 1/9*d**3 + 0*d**2 + q*d + 1/10*d**5. Determine v so that k(v) = 0.
0, 1
Let w = 4 - 0. Find j such that 8*j**4 + 2*j**5 + w*j**4 + 18*j**3 + j**5 + 13*j**2 + 3*j - j**2 = 0.
-1, 0
Let m(r) be the second derivative of -7/30*r**4 + 38*r + 2/5*r**2 - 1/3*r**3 + 0. Solve m(q) = 0.
-1, 2/7
Let f be (2 - 1*-6)*(-19 + (-5362)/(-280)). What is d in 4/5*d**3 + 6/5*d**4 - 4/5*d + 0 - f*d**2 = 0?
-1, -2/3, 0, 1
Let x(o) = -o**3 + 5*o**2 - 3*o + 2. Let h be x(4). Let y = -3 + h. Factor 2*v**3 - 2*v**3 - v**4 - 2*v**y + 4*v**3.
-v**3*(v - 2)
Let g(h) be the second derivative of -7/4*h**2 - 2/3*h**3 - 40*h + 0 - 1/24*h**4. What is d in g(d) = 0?
-7, -1
Let r be (3 - 3)*(-7 + (-39)/(-6)). Find n, given that 1/2*n**3 + 2*n**2 + r + 3/2*n = 0.
-3, -1, 0
Let s be (-12)/(-22)*27*24/324. Factor 6/11*b**3 + 2/11*b**4 - 48/11 - 56/11*b - s*b**2.
2*(b - 3)*(b + 2)**3/11
Suppose 0 = 4*v - 14 - 2. Factor -32 - 16*q + 8*q**2 - 2*q**2 + v*q**3 + 2*q**2.
4*(q - 2)*(q + 2)**2
Let h(d) = d**2 - 5*d + 10. Let z be h(2). Let l(g) = 4*g**3 + 2*g**2 - 1. Let b be l(1). What is u in 26*u**2 - 8*u**3 - b*u + 2*u**z + u - 16*u**2 = 0?
0, 1, 2
Let x(q) = q**5 - q + 1. Let g be 1/7*9 - 6/21. Let w(i) = -i**5 - 2*i**4 - 4*i**3 + 4*i**2 + 5*i - 5. Let h(r) = g*w(r) + 3*x(r). Factor h(u).
2*(u - 1)**3*(u + 1)**2
Let j(u) be the first derivative of 0*u**3 - 1/25*u**5 + 0*u - 1/20*u**4 + 0*u**2 - 20. Factor j(r).
-r**3*(r + 1)/5
Suppose -4*s + s = -c - 15, 2*c - 2*s = -10. Let u be c/(-4 - 10/(-2)). Suppose 4*q**2 + u + 1/3*q + 64/3*q**4 + 16*q**3 = 0. What is q?
-1/4, 0
Suppose -148/9*k**2 + 2738/9*k + 2/9*k**3 + 0 = 0. What is k?
0, 37
Let d(i) be the first derivative of i**5/4 + 25*i**4/16 - 65*i**3/4 - 45*i**2/8 + 405*i/2 + 378. Suppose d(b) = 0. What is b?
-9, -2, 3
Let m(n) = 258*n + 776. Let b be m(-3). Factor 1/10*c**b + 1/10*c + 0.
c*(c + 1)/10
Let c be 13/(-364)*-19 + (-2 + 3)/(-4). Factor -c*i**3 + 0*i**2 + 12/7*i + 0.
-3*i*(i - 2)*(i + 2)/7
Suppose -f - 66 = 5*f. Let y(v) = v**2 + 9*v - 18. Let q be y(f). Suppose 0*i**2 + 4/3*i - i**3 - 1/3*i**q + 0 = 0. What is i?
-2, 0, 1
Let s(o) = -o + 1. Let r(f) = f**2 - f - 4. Let p(a) = -5*r(a) - 20*s(a). Factor p(i).
-5*i*(i - 5)
Suppose 10*v**4 + 73*v**3 + 25*v**3 - 52*v**2 + 192*v**2 - 5*v**5 + 60*v - 3*v**3 = 0. What is v?
-2, -1, 0, 6
Let k(q) = 7*q**3 - 30*q**2 + 51*q - 20. Let c(n) = -n**3 - 1. Let f(g) = -4*c(g) - k(g). Solve f(u) = 0 for u.
1, 8
Suppose h + 9 = 5*m, 3*m - 5*h = 8*m - 15. Let z(f) be the first derivative of -4 - 3/4*f**m + f + 1/6*f**3. Factor z(a).
(a - 2)*(a - 1)/2
Let g(y) be the first derivative of 3*y**5/40 + 15*y**4/32 - y**3/8 - 15*y**2/16 - 9. Solve g(o) = 0.
-5, -1, 0, 1
Let i(w) = 17*w**2 - 39*w - 11. Let s(x) = -16*x**2 + 40*x + 12. Suppose -16 = -4*a - 0*a. Let r(g) = a*i(g) + 5*s(g). Factor r(q).
-4*(q - 4)*(3*q + 1)
Let q be ((-44)/(-42) + -1)/((-9)/(-4887)). Let v = 27 - q. Factor v*x - 6/7 - 2/7*x**2.
-2*(x - 3)*(x - 1)/7
Factor -60/7*x**2 - 52/7 - 108/7*x - 4/7*x**3.
-4*(x + 1)**2*(x + 13)/7
Factor 5*g**2 + 7*g**2 + 8*g + 8*g**3 - 4 - 2*g**4 + 3 + 4*g**4 + 3.
2*(g + 1)**4
Suppose 0 = -3*k + 30 - 12. Let n = k + -6. Factor d**2 - 1/2*d - d**4 + 1/2*d**5 + 0*d**3 + n.
d*(d - 1)**3*(d + 1)/2
Let p(y) be the first derivative of y**6/3 - 18*y**5/5 + 25*y**4/2 - 18*y**3 + 10*y**2 - 123. Find o such that p(o) = 0.
0, 1, 2, 5
Let q be (624/(-117))/((-56)/21). Factor 26/9*z**q + 8/9 - 56/9*z.
2*(z - 2)*(13*z - 2)/9
Let q(o) = -6*o**2 + 8*o - 8. Let x(i) = -21*i + 26*i - 5 + 7*i**2 - 11*i**2. Let b(y) = 5*q(y) - 8*x(y). Factor b(w).
2*w**2
Let y(l) = 8*l**2 - 3 - 8*l + 7*l + 2 - 7*l**2. Let m(r) = 7*r**2 - 6*r - 10. Let k(n) = m(n) - 6*y(n). Let k(x) = 0. What is x?
-2, 2
Suppose -118*v + 21 = -97*v. Let f(h) be the first derivative of -v + 7/2*h**2 + 5/3*h**3 + 2*h. Factor f(s).
(s + 1)*(5*s + 2)
Let w = -27 + 28. Suppose -y = -2 - w. Factor y*k**2 - k**2 + k + 2 + 2*k - 7*k.
2*(k - 1)**2
Suppose 5*d = -0*d + 20. Factor -8*g**d + g**5 - 2*g**4 + 7*g**4 + 2*g**4.
g**4*(g - 1)
Let s = -511/5 - -101. Let u = 7/5 + s. Factor -1/5*i**2 - u*i + 1/5 + 1/5*i**3.
(i - 1)**2*(i + 1)/5
Let l(g) be the first derivative of g**7/1890 - g**5/180 + g**4/108 - 3*g**2/2 - 13. Let s(j) be the second derivative of l(j). What is p in s(p) = 0?
-2, 0, 1
Let m(x) be the first derivative of -x**4/32 - x**3/3 + 7*x**2 - 32*x - 38. Factor m(z).
-(z - 4)**2*(z + 16)/8
Let l(u) be the third derivative of 0 + 0*u**4 + 0*u + 10*u**2 + 1/30*u**5 - 1/3*u**3. Factor l(c).
2*(c - 1)*(c + 1)
Suppose 0 = -4*m - 8, -4*f - 5*m = -0*f + 34. Let t be f/27 - (-140)/225. Factor 4/5*z**2 + 0*z - t*z**3 - 6/5*z**4 + 0.
-2*z**2*(z + 1)*(3*z - 2)/5
Let c(p) be the second derivative of -2/21*p**3 + 1/7*p**2 + 0 + 11*p - 1/14*p**4. Factor c(k).
-2*(k + 1)*(3*k - 1)/7
Find m, given that 7 - 13 - 10*m**2 - 20*m**3 + 23*m + m**4 - 3*m**5 + 15*m**4 = 0.
-1, 1/3, 1, 2, 3
Let t(c) be the third derivative of 0*c + 1/30*c**5 + 