0*x**2.
-2*(x + 6)**2
Factor 0 + 3/2*b**4 + 0*b - 1/2*b**5 + 0*b**2 + 2*b**3.
-b**3*(b - 4)*(b + 1)/2
Suppose -2 = -5*b + 18. Factor -8*u**4 - 5*u**3 - b*u**5 + 9*u**3 + 8*u**4.
-4*u**3*(u - 1)*(u + 1)
Let s(d) = d**3 - d - 2. Let a(w) = -375*w**4 - 1426*w**3 + 2070*w**2 - 875*w + 122. Let u(x) = a(x) + s(x). Let u(y) = 0. What is y?
-5, 2/5
Let y(m) be the second derivative of m**6/18 + m**5/6 - 40*m. Factor y(i).
5*i**3*(i + 2)/3
Suppose -91*p + 38*p = -40*p - 26. Suppose 3 + 3/2*l**p + 11/2*l = 0. What is l?
-3, -2/3
Let z be ((-4)/5 - 0) + (-5)/(5400/(-1104)). Determine b, given that -8/9*b**4 - z*b - 2*b**3 - 4/3*b**2 + 0 = 0.
-1, -1/4, 0
Let o(l) be the second derivative of l**6/120 + 13*l**5/10 - l**4/48 - 13*l**3/3 - 306*l. Factor o(g).
g*(g - 1)*(g + 1)*(g + 104)/4
Let z = 403 - 8455/21. Let d(j) be the first derivative of 0*j - 3/7*j**6 + 0*j**2 - 8/7*j**4 + z*j**3 + 6/5*j**5 - 6. What is w in d(w) = 0?
0, 2/3, 1
Determine p, given that 0 - 4*p**3 + 16/3*p**5 - 2/3*p - 8/3*p**4 + 10/3*p**2 = 0.
-1, 0, 1/2
Let g(j) = j - 16. Let o be g(18). Let 243*v - 243*v + 1 - v**o = 0. What is v?
-1, 1
Let d = 3507 - 24545/7. Factor d*i + 0 + 1/7*i**3 + 4/7*i**2.
i*(i + 2)**2/7
Let j(h) be the first derivative of -h**6/54 - h**5/15 + h**4/36 + h**3/9 + 193. Let j(t) = 0. Calculate t.
-3, -1, 0, 1
Determine x, given that 0*x**4 - 3/2*x**5 - 6*x + 0 + 0*x**2 + 15/2*x**3 = 0.
-2, -1, 0, 1, 2
Let v be 2/(-8*(-6)/120). Let y(f) be the second derivative of 0*f**2 + 0*f**3 - v*f + 0 - 1/45*f**4 - 1/150*f**5. Factor y(n).
-2*n**2*(n + 2)/15
Let l(n) = -5*n + 6*n - 4*n - 2*n**3 + 1 - 8*n**2 - 2*n. Let h(b) = -b**4 - b**2 - b + 1. Let t(f) = -4*h(f) + 4*l(f). Factor t(m).
4*m*(m - 4)*(m + 1)**2
Let p(n) be the second derivative of -3/50*n**5 + 1/105*n**7 + 1/15*n**4 + 0*n**2 + 0*n**3 + 11*n + 0*n**6 + 0. Let p(w) = 0. What is w?
-2, 0, 1
Let g(l) = -135*l**4 - 240*l**3 + 405*l**2 + 900*l - 680. Let f(j) = -8*j**4 - 14*j**3 + 24*j**2 + 53*j - 40. Let s(m) = 50*f(m) - 3*g(m). Factor s(u).
5*(u - 1)**2*(u + 2)*(u + 4)
Let b(l) be the second derivative of 361*l**4/12 - 19*l**3/2 + 9*l**2/8 - 126*l. Solve b(k) = 0 for k.
3/38
Suppose -2 = -2*g - 4*i, 4*g - 5*i - 26 = -2*i. Find c, given that 62*c + g*c**4 - 62*c + 5*c**5 = 0.
-1, 0
Let d be -5*(-5)/(75/9). Let j be 3 - (-3 + d + -1). Determine w so that -2*w**2 + 8 + j*w**2 + 8*w - 3*w**2 + 3*w**2 = 0.
-2
Factor -1/2 + 1/2*k**3 - 13/8*k + 13/8*k**2.
(k - 1)*(k + 4)*(4*k + 1)/8
Let m(w) be the first derivative of 10/3*w**3 + 2*w**2 + 9/4*w**4 + 7/10*w**5 + 1/12*w**6 + 0*w + 10. Factor m(l).
l*(l + 1)*(l + 2)**3/2
Let a be (12/(-16))/(3/(-12)). What is v in 8*v**a - v**2 - v**4 + 4 - 3*v**4 + v**2 - 8*v = 0?
-1, 1
Let w be (1/(-2) - 0) + 88/16. Let p(z) be the second derivative of 0 - 1/36*z**4 + 0*z**2 + 4*z + 0*z**3 + 1/30*z**w + 1/30*z**6. Suppose p(k) = 0. What is k?
-1, 0, 1/3
Let c be (268 - 271) + (-1)/(-14)*46. Factor 2/7*g**4 + 2/7*g**5 - c*g**2 - 2/7*g**3 + 0*g + 0.
2*g**2*(g - 1)*(g + 1)**2/7
Let c(m) be the first derivative of 196*m**5/5 + 413*m**4 + 584*m**3 - 712*m**2 + 224*m - 20. Factor c(g).
4*(g + 2)*(g + 7)*(7*g - 2)**2
Let t be (-1 - 4)/(-5)*35/1. Let s = -32 + t. Factor -3/2*n**s - 1/4*n**5 + n**2 - 1/4*n + n**4 + 0.
-n*(n - 1)**4/4
Factor 12/7*a**2 + 0 + 2/7*a**3 + 18/7*a.
2*a*(a + 3)**2/7
Let y(s) be the first derivative of s**6/2 - 3*s**5 + 3*s**4/4 + 21*s**3 - 27*s**2 - 272. Solve y(f) = 0.
-2, 0, 1, 3
Factor -3/4*y - 3/4*y**2 + 9/2.
-3*(y - 2)*(y + 3)/4
Suppose 4*n + 3*g - 57 = 0, 2*g + 3*g = 2*n - 9. Let h be (4/3 + -1)*n. Factor 6*s**2 - 7*s**2 - 3 + 1 - 2 - h*s.
-(s + 2)**2
What is u in 312*u + 42 - 15*u**3 + 116*u**2 + 33*u**3 + 70 - u**4 + 2*u**4 + 176 = 0?
-6, -4, -2
Let h(r) = 4*r**2 + r + 2. Let b be h(0). Let s(u) be the first derivative of 12*u - 3/4*u**4 + 2*u**3 + 21/2*u**b + 2. Factor s(t).
-3*(t - 4)*(t + 1)**2
Factor 812*y**2 - 20250*y + 5039 + 1890*y**2 - 230*y**3 + 11836 + 898*y**2 + 5*y**4.
5*(y - 15)**3*(y - 1)
Let a = 64 + -64. Determine t, given that a - 3/8*t**4 + 0*t**2 + 0*t**3 + 0*t = 0.
0
Determine h, given that 6*h**5 + 3*h**4 - 3*h**2 - 94*h + 186*h - 89*h - 9*h**3 = 0.
-1, 0, 1/2, 1
Suppose 43 = -c + 53. Let v(h) = 19*h**2 + 6*h**4 - 9*h - 15*h**4 + 3 + 2 + 4*h**3. Let b(n) = n**4 + n**2 - n + 1. Let i(j) = c*b(j) - 2*v(j). Factor i(m).
4*m*(m - 1)*(m + 1)*(7*m - 2)
Let s(b) be the first derivative of -3*b**5/25 - 3*b**4/10 + 3*b**2/5 + 3*b/5 - 271. Find r such that s(r) = 0.
-1, 1
Let h(y) be the third derivative of y**6/1140 + 127*y**5/570 + 251*y**4/228 + 125*y**3/57 + 150*y**2. Factor h(x).
2*(x + 1)**2*(x + 125)/19
Let q(m) = -20*m**2 + 19*m + 45. Let y(b) = -240*b**2 + 230*b + 540. Let k(g) = -35*q(g) + 3*y(g). Solve k(p) = 0 for p.
-1, 9/4
Let q = 237 - 234. Let m(s) be the third derivative of -1/18*s**4 + 0*s + 0*s**q + 1/90*s**5 + s**2 + 0. Determine u so that m(u) = 0.
0, 2
Suppose -2/11*t**4 - 4/11*t**3 + 0 + 4/11*t + 2/11*t**2 = 0. What is t?
-2, -1, 0, 1
Let f be 0/514*(2 + 1)/(-3). Solve -3/4*b - 1/4*b**2 + f = 0 for b.
-3, 0
Determine w, given that -6/7*w**3 - 738/7*w**2 - 413526/7 - 30258/7*w = 0.
-41
Let h(l) be the second derivative of -l**6/270 + l**5/20 - l**4/4 + 31*l**3/54 - 2*l**2/3 - 105*l. Factor h(f).
-(f - 4)*(f - 3)*(f - 1)**2/9
Let b(w) = 25*w**2 - 1405*w + 4660. Let o(l) = 2*l**2 - 108*l + 358. Let m(t) = -3*b(t) + 40*o(t). Factor m(h).
5*(h - 17)*(h - 4)
Let u = -1098 + 5498/5. Factor -u + 4/5*b**4 + 4/5*b**2 - 12/5*b + 12/5*b**3.
4*(b - 1)*(b + 1)**2*(b + 2)/5
Let i(n) = 8*n**2. Let d be i(1). Suppose -f = 3*f - 5*u + 12, 4*f - 12 = -u. Factor -d*l**4 - 6*l**3 + 2 + 6*l + 4*l**2 + f*l**4 + 2*l**3 - 2*l**5.
-2*(l - 1)*(l + 1)**4
Let a = 156 + -151. Let m(c) be the first derivative of -1/5*c**4 + 0*c**a + 0*c**3 + 1/15*c**6 + 1/5*c**2 + 0*c + 3. Factor m(n).
2*n*(n - 1)**2*(n + 1)**2/5
Let v(o) be the second derivative of 5*o**4/12 + 15*o**3 + 405*o**2/2 - 29*o. Factor v(n).
5*(n + 9)**2
Let i be (-327)/504 - (-50)/75. Let x(k) be the second derivative of -9/80*k**5 - i*k**7 + 0*k**2 + 1/16*k**4 + 3/40*k**6 + 0*k**3 - 6*k + 0. Factor x(h).
-3*h**2*(h - 1)**3/4
Solve 560*l**2 - 145*l**4 + 19 - 1209*l + 9*l + 300*l**3 + 61 = 0.
-2, 2/29, 2
Let v(d) = 5*d**2 - 19*d - 17. Let z be v(-1). Let b(k) be the first derivative of 1/2*k**2 - z + 0*k**3 - 1/4*k**4 + 0*k. Factor b(x).
-x*(x - 1)*(x + 1)
Let k(t) = 14*t**2 + 207*t - 40. Let b be k(-15). Factor x + 2/7*x**4 + 2/7*x**3 - 8/7*x**2 - 1/7*x**b - 2/7.
-(x - 1)**4*(x + 2)/7
Let w(a) be the third derivative of -a**7/1680 - a**6/960 + 7*a**5/480 + a**4/192 - a**3/8 + 66*a**2. Solve w(p) = 0 for p.
-3, -1, 1, 2
Let h(a) = -105*a**3 - 22*a**2 - 7*a. Let u(o) = 70*o**3 + 15*o**2 + 5*o. Let b(t) = 5*h(t) + 7*u(t). Factor b(w).
-5*w**2*(7*w + 1)
Determine i so that 1/4*i**2 - 4*i + 16 = 0.
8
Suppose -530 = -8*w - 498. Let x(s) be the second derivative of 0*s**3 + 0*s**5 - 1/24*s**4 + 0 + 1/120*s**6 + 1/8*s**2 - w*s. Factor x(u).
(u - 1)**2*(u + 1)**2/4
Let g(n) be the first derivative of n**8/1260 + n**7/420 - n**5/180 + 4*n**3/3 + 5. Let a(o) be the third derivative of g(o). Factor a(b).
2*b*(b + 1)**2*(2*b - 1)/3
Let x(n) = -n**2 + 8*n + 15. Let i be x(9). Let m(k) be the second derivative of 3/2*k**4 + 3*k - i*k**3 - 3/20*k**5 + 12*k**2 + 0. Factor m(a).
-3*(a - 2)**3
Let n be (-1 + 18/54)*(-2 + 7/4). Factor 1/6*b - n*b**4 - 1/3*b**3 + 1/3*b**2 + 1/6*b**5 - 1/6.
(b - 1)**3*(b + 1)**2/6
Let z(j) be the first derivative of j**5/5 + 3*j**4/4 + 2*j**3/3 + 582. Factor z(i).
i**2*(i + 1)*(i + 2)
Let x(k) = -3*k**3 + k**2 - 2*k - 3. Let h be x(-1). Let z(c) be the second derivative of -4*c - 1/4*c**4 - 3/2*c**h + 0 - 3*c**2. What is u in z(u) = 0?
-2, -1
Let n(p) be the third derivative of -p**8/1008 + p**7/63 - 11*p**6/360 - 41*p**5/90 + p**4/6 + 4*p**3 - 61*p**2 + 5. Determine x, given that n(x) = 0.
-2, -1, 1, 6
Factor 25/2*u**3 + 0 + 1/2*u**5 + 0*u - 5*u**4 + 0*u**2.
u**3*(u - 5)**2/2
Let j be 24/6 - (-4)/(-2). Factor -8 + k**3 + 0 - 4*k - 9*k**2 + 5*k**2 + 6*k**j.
(k - 2)*(k + 2)**2
Let r = 7/2 + -61/18. Factor -r*f + 0 + 2/9*f**2 - 1/9*f**3.
-f*(f - 1)**2/9
Let r = 20 + -17. Suppose 3*t - 6*f + 5 = -2*f, 4*t = r*f + 5. Factor 0*u**2 + 2/5*u**3 - u**t + 0 + 0*u - 3/5*u**4.
-u**3*(u + 1