- 8*p(k). Factor g(c).
-2*c*(c - 1)*(c + 1)*(c + 15)
Let p(u) = -145*u**2 - 4850*u - 88985. Let f(w) = 11*w**2 + 373*w + 6845. Let z(d) = 40*f(d) + 3*p(d). Factor z(m).
5*(m + 37)**2
Let w(l) = -l**3 - l**2 - 1. Let o(k) = k**3 + 9*k**2 + 17*k + 11. Let h(z) = o(z) + 2*w(z). Suppose h(y) = 0. What is y?
-1, 9
Suppose 21*b - 6*b**2 + 1/4*b**3 - 20 = 0. Calculate b.
2, 20
Let j(s) be the third derivative of -s**5/30 - 5*s**4/4 - 26*s**3/3 + 61*s**2. Determine h so that j(h) = 0.
-13, -2
Let w be (38/456)/((20/64)/5). What is u in 4/3*u**3 + 0 - w*u**5 + 0*u**4 + 0*u**2 + 0*u = 0?
-1, 0, 1
Let v(y) be the second derivative of 31*y - 1/48*y**4 - 1/2*y**2 + 0 - 1/6*y**3. Solve v(l) = 0 for l.
-2
Let z be (-1539)/405 + (0 - -4). Let m(p) be the third derivative of -1/2*p**4 - 1/30*p**6 + 0 - z*p**5 - 2/3*p**3 + 0*p + 9*p**2. Solve m(g) = 0 for g.
-1
Let l(d) be the third derivative of d**6/108 - d**5/45 - d**4/36 + 4*d**3/27 - 35*d**2. Determine t, given that l(t) = 0.
-4/5, 1
Let m be (-1308)/(-72) - 180/10. Factor m*h**2 + 0 - 2/3*h**3 + 0*h - 1/3*h**5 + 5/6*h**4.
-h**2*(h - 1)**2*(2*h - 1)/6
Factor -36/5*r - 2/5*r**2 - 34/5.
-2*(r + 1)*(r + 17)/5
Factor -432*l**3 - 3*l + 35*l - 224*l**4 - 256*l**2 - 16*l**5 - 22*l**5.
-2*l*(l + 2)**3*(19*l - 2)
Let h(l) = -l**2 - 4*l + 1. Let k be h(-3). Let v(z) be the second derivative of -3/20*z**5 + 0 + 0*z**2 + z - 1/6*z**3 - 1/4*z**k - 1/30*z**6. Factor v(m).
-m*(m + 1)**3
Let -119794*s**4 - 118*s + 114*s**2 + 119792*s**4 + 50 - 10 - 34*s**3 = 0. Calculate s.
-20, 1
Let -94*r**5 + 52*r**5 - 12*r + 9*r**3 + 45*r**5 - 12*r**4 + 12*r**2 = 0. Calculate r.
-1, 0, 1, 2
Let o = 10528/3 + -3509. Let -1/3 + o*m**3 - 1/3*m + 1/3*m**2 = 0. What is m?
-1, 1
Let v(u) be the second derivative of -u**6/120 - 17*u**5/80 - 35*u**4/16 - 275*u**3/24 - 125*u**2/4 + 111*u. Solve v(g) = 0 for g.
-5, -2
Solve -2/7*v**3 + 30/7*v + 12/7*v**2 + 16/7 = 0 for v.
-1, 8
Let o(y) = y**2 + 8*y + 12. Let c = -8 - -2. Let u be o(c). Factor -3 + u + 3*g**4 - 9*g**3 + 3*g**3 + 6*g.
3*(g - 1)**3*(g + 1)
Let h = 20277 - 20274. Factor 13/3*q - 2 + 43/3*q**h + 53/3*q**2 + 3*q**4.
(q + 1)**2*(q + 3)*(9*q - 2)/3
Let w(q) be the first derivative of -q**4 - 20*q**3/3 + 2*q**2 + 20*q - 171. Find o such that w(o) = 0.
-5, -1, 1
Let n(m) be the second derivative of 7/36*m**4 - 2/3*m**2 - 36*m + 0 + 5/18*m**3 - 1/30*m**5. Let n(q) = 0. What is q?
-1, 1/2, 4
Let p = -35 - 213. Let l = p - -251. Find b such that l + 9/2*b**2 - 15/2*b = 0.
2/3, 1
Let m(v) be the second derivative of v**7/273 + 2*v**6/39 - 23*v**5/130 + 2*v**4/13 - 3*v + 25. Solve m(y) = 0.
-12, 0, 1
Let -26/19*d**2 - 70/19*d + 98/19 - 2/19*d**3 = 0. What is d?
-7, 1
Let v(c) be the second derivative of -c**4/8 - 3*c**3/4 + 3*c**2 - 58*c. Factor v(o).
-3*(o - 1)*(o + 4)/2
Suppose 2*q + 48 = 4*a + 6*q, -3*q - 20 = -5*a. Factor -5*k**4 + 3*k**2 - 6*k**3 + 3 - 5*k**2 - k**5 + 4*k**2 + a*k.
-(k - 1)*(k + 1)**3*(k + 3)
Let p(i) be the first derivative of 3*i - 11/9*i**3 + 1/36*i**6 + 2/15*i**5 - 1/6*i**4 - 8 + 1/4*i**2. What is w in p(w) = 0?
-3, -1, 1, 2
Let j = -8243 + 8243. Find l, given that j*l - 2/5*l**3 + 0 + 4/5*l**2 = 0.
0, 2
Let c = 1508/15 - 1484/15. Let a be (-196 + 0)*4/(-40). Find v, given that -a*v**2 - c - 56/5*v = 0.
-2/7
Solve 50*t**2 - 6*t - 54*t**2 + 0*t + 4 + 8*t**3 - 2*t**5 = 0 for t.
-2, -1, 1
Suppose 9*c = -3*c + 36. Factor -414 - 6*h**2 + 414 + c*h**3.
3*h**2*(h - 2)
Let g(q) be the third derivative of -q**8/1512 + 2*q**7/945 - q**6/540 - 2*q**2 - 14*q. Factor g(m).
-2*m**3*(m - 1)**2/9
Let c(b) be the first derivative of 2*b**6/3 + 17*b**5/5 + 5*b**4 + 4*b**3/3 + 97. Factor c(g).
g**2*(g + 2)**2*(4*g + 1)
Let g(n) = -n**2 + n + 1. Let x(v) = v**3 - 21*v**2 + 7*v - 9. Let i(h) = 6*g(h) - x(h). Let k be i(15). Solve u + k - 1/2*u**2 = 0 for u.
0, 2
Determine f so that -16/5*f**3 - 48/5 + 2/5*f**4 + 34/5*f**2 + 4/5*f = 0.
-1, 2, 3, 4
Let t(p) be the first derivative of -4*p**3/3 + 2*p**2 + 8*p - 20. Factor t(c).
-4*(c - 2)*(c + 1)
Find i such that -268/5*i + 0 - 108*i**2 - 4/5*i**4 - 276/5*i**3 = 0.
-67, -1, 0
Let s(m) = 9*m**4 + 14*m**3 + 30*m**2 - 9*m - 6. Let u(h) = 3*h**4 + 5*h**3 + 9*h**2 - 3*h - 2. Let w(g) = -4*s(g) + 14*u(g). Factor w(q).
2*(q + 1)**3*(3*q - 2)
Suppose 5*c = -4*n + 9, -26 + 8 = -2*c + 2*n. Suppose -10 = -c*b - 0*b. Suppose 4*y + y - 30*y**3 + 110*y**3 + 18*y**2 - 58*y**b = 0. What is y?
0, 1/4
Suppose 2*p - 1572 - 380 = -2*h, 3*h = 2*p - 1957. Find r such that 977 - r**3 - p - r**4 = 0.
-1, 0
Suppose 2*k + 2 = 8. Factor 9*u**3 + 3*u**3 + 15*u**2 - 7*u**k + 12*u - 2*u.
5*u*(u + 1)*(u + 2)
Let g = -173 + 165. Let a be (-406)/(-49) + g - (-373)/42. Solve 59/6*z**2 - 16/3*z**3 - a*z**4 + 14/3*z**5 - 2/3 + 2/3*z = 0 for z.
-1, -2/7, 1/4, 1, 2
Let t(m) be the third derivative of 0 - 27*m**2 + 2/105*m**7 - 2/15*m**6 - 2/3*m**4 + 2/5*m**5 + 0*m + 2/3*m**3. Factor t(u).
4*(u - 1)**4
Determine l so that 1/2*l + 1/4*l**4 - 3/4*l**2 + 0*l**3 + 0 = 0.
-2, 0, 1
Let q(b) = -b**3 - 18*b**2 - 96*b - 70. Let n(p) = p**2 + 8*p + 1. Let o(t) = 30*n(t) + 5*q(t). Let o(l) = 0. Calculate l.
-4
Factor 3/5*o**3 + 0 - 12/5*o**2 + 12/5*o.
3*o*(o - 2)**2/5
Let p(o) be the first derivative of o**4 + 4/5*o**5 + 28 - 4/3*o**3 - 2*o**2 + 0*o. Factor p(j).
4*j*(j - 1)*(j + 1)**2
Let y(c) be the second derivative of c**4/42 - 8*c**3/21 + 22*c - 3. Solve y(o) = 0.
0, 8
Let n = -16 - -22. Let p be (2 + 0 - 1) + 5. Solve n*j**4 - j**3 - j**3 - j**3 + p*j**4 = 0 for j.
0, 1/4
Let d(y) be the third derivative of 23*y**5/30 - y**4/6 - 151*y**2. Let d(i) = 0. What is i?
0, 2/23
Determine u so that -262*u**2 + 5*u**3 - 229*u**2 + 35*u + 90 + 441*u**2 = 0.
-1, 2, 9
Let g(l) be the second derivative of 3*l**5/5 + 17*l**4/4 - 22*l**3 - 18*l**2 - 185*l. Determine v, given that g(v) = 0.
-6, -1/4, 2
Factor -34 + 315*j**2 + 49 + 110 + 4*j**4 + 575*j + 61*j**3.
(j + 5)**3*(4*j + 1)
Let x(k) be the second derivative of k**5/5 + 8*k**4/3 + 34*k**3/3 + 20*k**2 - 59*k. Suppose x(g) = 0. Calculate g.
-5, -2, -1
Suppose -3*x = -5*o + 57 - 22, 0 = 3*o - 3*x - 27. What is p in -1 - o*p**2 - 3 - 4*p**3 + 8*p**2 + 4*p = 0?
-1, 1
Let v(o) = 3*o**2 + o - 2. Suppose 4 = -m + 2*m. Let c(d) = 6*d**2 + d - 5. Let q(l) = m*c(l) - 7*v(l). Determine n, given that q(n) = 0.
-1, 2
Let i(c) be the first derivative of -c**4/14 + 4*c**3/21 + 151. Solve i(j) = 0.
0, 2
Let h be -3*(1 - (-16)/6). Let o = h + 13. Factor -8 - 36*r - 2*r**2 + 2*r**2 + 36*r**3 + 8*r**o.
4*(r - 1)*(r + 1)*(9*r + 2)
Suppose -2*n + 0*n + 10 = 0. Suppose 0 = 2*w - n*w + 6. What is p in -8*p**2 - 101*p**3 + 55*p**4 + 8*p + p**4 - 28*p**w + 113*p**3 = 0?
-1, 0, 2/7, 1/2
Let r be 8/(-12) + 16/6. Let l(h) be the first derivative of 0*h**3 - 5*h + r*h - 5 + h**3. Suppose l(a) = 0. Calculate a.
-1, 1
Let w be 368/138*2/24. Let l(j) be the first derivative of 0*j**2 - 3 + 0*j - 1/3*j**4 + w*j**3 + 2/15*j**5. Factor l(o).
2*o**2*(o - 1)**2/3
Suppose -3*z - 4*c - 7 = 0, 2*z + 4*c = -3*z - 1. Suppose -3*q = 5*u, -z*u - 1 = 5*q - 3*q. Factor -1/5*j**u + 0 - 1/5*j + 2/5*j**2.
-j*(j - 1)**2/5
Let y be (-342)/(-63) - 2/((-6)/(-15)). Factor -1/7*u - y*u**2 - 1/7*u**4 - 3/7*u**3 + 0.
-u*(u + 1)**3/7
Let a(q) = -4*q**3 + 8*q**2 - 4*q. Let d(c) be the second derivative of -2*c**5/5 + 17*c**4/12 - 3*c**3/2 + 3*c. Let y(i) = -7*a(i) + 4*d(i). Factor y(u).
-4*u*(u - 2)*(u - 1)
Suppose 2/3*v**2 + 4232/3 + 184/3*v = 0. What is v?
-46
Suppose -3*n + 120 = 3*j - 9, n - 49 = 5*j. Let r = 177/4 - n. Let -1/2*m - r*m**3 - 3/4*m**2 + 0 = 0. What is m?
-2, -1, 0
Let v(k) = -2*k**2 - 5*k - 2. Let l(c) = c**2 + 1. Let s = -94 + 90. Let a(t) = s*l(t) - v(t). Solve a(x) = 0.
1/2, 2
Let u(z) = -z**4 - z - 1. Suppose 11*m - 2*m = -54. Let c(q) = q**4 + 20*q**3 - 30*q**2 + 26*q + 1. Let j(g) = m*u(g) - c(g). Factor j(n).
5*(n - 1)**4
Factor -5*s**3 + 87247*s - 10*s**4 - 5*s**5 - 87247*s.
-5*s**3*(s + 1)**2
Solve -8/7 - 15/7*b**4 - 82/7*b**2 - 44/7*b - 61/7*b**3 = 0.
-2, -1, -2/3, -2/5
Factor -2/3*x**3 - 28/3 + 4*x**2 + 6*x.
-2*(x - 7)*(x - 1)*(x + 2)/3
Suppose -3*k**3 - 51*k**2 + 63*k + 62*k - 112*k + 41*k = 0. What is k?
-18, 0, 1
Determine l, given that 3 - 3/4*l**5 + 6*l - 21/4*l**3 + 3/4*l**2 - 15/4*l**4 = 0.
-2, -1, 1
Let 12*y - 4/3*y**2 - 56/3 = 0. What is y?
2, 7
Let u(k) 