z + 1)
Let c(d) be the second derivative of -d**4/18 + d**3/3 - 2*d**2/3 - 10*d - 1. Let c(n) = 0. What is n?
1, 2
Let y = 5594 + -5592. Solve -4/3*j + 1/3*j**3 - j**y + 0 = 0 for j.
-1, 0, 4
Suppose -3*t = -3, 3*b = -0*t - 3*t - 45. Let u = b - -20. Factor 28*x**4 + x**3 - 4*x**2 + 3*x**2 - 27*x**u - x**5.
-x**2*(x - 1)**2*(x + 1)
What is o in 24*o**2 - 47*o**4 + 26*o**3 + 2*o**5 + 8*o + 8*o**4 + 51*o**4 = 0?
-2, -1, 0
Let i(j) be the first derivative of j**7/560 - j**6/360 + j**5/720 + j**3 - 11. Let m(y) be the third derivative of i(y). Factor m(h).
h*(3*h - 1)**2/6
Let d(j) be the third derivative of j**7/420 + j**6/240 - j**5/60 + j**2 + 1. Factor d(n).
n**2*(n - 1)*(n + 2)/2
Suppose r + 4*w = 16, 0*w + 8 = 2*r + 2*w. Suppose -8*l + 9*l = r. Let l + 6/7*d + 9/7*d**2 - 15/7*d**3 = 0. What is d?
-2/5, 0, 1
Factor -161*n**2 + 2*n**3 + 80*n**2 + 32 + 81*n**2 - 24*n.
2*(n - 2)**2*(n + 4)
Let v(s) be the first derivative of -3*s**4/4 - 7*s**3 - 18*s**2 + 919. Factor v(o).
-3*o*(o + 3)*(o + 4)
Let h(z) be the second derivative of z**5/240 - 5*z**4/96 + z**3/4 + 19*z**2/2 + 8*z. Let a(o) be the first derivative of h(o). Factor a(k).
(k - 3)*(k - 2)/4
Let j = -69 + 14. Let w be (22/j)/(2/(-4)). Factor 0*y + w*y**3 - 8/5*y**2 + 0.
4*y**2*(y - 2)/5
Let a = 9928 + -9925. Factor 6/5*o**2 + 0 - 3/5*o**a - 3/5*o.
-3*o*(o - 1)**2/5
Factor -4/7*n**3 + 212/7*n - 100/7*n**2 - 108/7.
-4*(n - 1)**2*(n + 27)/7
Suppose 2*l + 4 + 2 = 0. Let f be 6*(l + (-10)/(-3)). Solve -28*h**f - 4*h**2 - 12*h**2 + 8*h + 56*h**3 = 0.
0, 2/7, 1/2
Factor 4/7*x**3 - 2*x**2 - 24/7 + 2/7*x**4 - 40/7*x.
2*(x - 3)*(x + 1)*(x + 2)**2/7
Let z be ((-4 + 2)/(-1))/5. Suppose 5*j - 4*y = 32, 5*j - 19*y + 20*y - 17 = 0. Factor -4/5*l**3 + 2/5*l - 2/5*l**j + 2/5*l**5 + 4/5*l**2 - z.
2*(l - 1)**3*(l + 1)**2/5
Let j(d) = -9*d**3 - 18*d**2 - 3*d - 3. Let m(w) = -2*w**3 - 3*w**2 - w - 1. Let q(x) = j(x) - 3*m(x). Determine u so that q(u) = 0.
-3, 0
Let z(o) be the second derivative of -o**7/42 - 3*o**6/10 - o**5/4 + 29*o**4/12 + 7*o**3 + 8*o**2 + 2*o + 115. Suppose z(l) = 0. What is l?
-8, -1, 2
Let l(p) be the first derivative of 3*p**4/8 + 9*p**3/2 + 188. Suppose l(r) = 0. What is r?
-9, 0
Suppose 0 = -5*m + 20. Suppose y + 5*t + 5 = 6*y, -8 = -m*t. Let 3*p**3 + p**2 - 2*p**3 + 0*p**2 + p - y*p**2 = 0. Calculate p.
0, 1
Let b be 2/((55/(-33))/(5/(-2))). Let r(l) = l - 19. Let m be r(21). Factor -3/2*c**2 - 2*c**b + m + 2*c - 1/2*c**4.
-(c - 1)*(c + 1)*(c + 2)**2/2
Let t = 35304 - 317398/9. Factor t + 2/9*q**2 - 52/9*q.
2*(q - 13)**2/9
Let y(v) = 931*v + 5586. Let q be y(-6). Let d be -1 + 16/14 - -1. Factor -d*r + 8/7*r**4 + 24/7*r**2 + q + 30/7*r**3.
2*r*(r + 2)**2*(4*r - 1)/7
Let q be (2/(-6))/((-9)/(-27))*0. Factor q + 2/3*v**3 + 8/3*v - 10/3*v**2.
2*v*(v - 4)*(v - 1)/3
Let v(m) be the second derivative of m**6/40 + 3*m**5/8 + 25*m**4/16 + 340*m. Factor v(i).
3*i**2*(i + 5)**2/4
Suppose -29 = -3*f - 5*n, 22 = 2*f - 0*f + 4*n. Let y = 12 - 9. Find x such that -4*x**2 - x**4 + x**2 + 21*x**y - 24*x**f - x = 0.
-1, 0
Let u(n) be the first derivative of -n**7/189 - 2*n**6/135 + n**4/27 + n**3/27 + 16*n - 18. Let l(c) be the first derivative of u(c). Factor l(g).
-2*g*(g - 1)*(g + 1)**3/9
Factor -12*r + 3/4*r**2 + 45/4.
3*(r - 15)*(r - 1)/4
Suppose 16/5*h + 4/5*h**2 - 4 = 0. Calculate h.
-5, 1
Let v(t) be the second derivative of 3*t**6/10 + 5*t**5/3 + 2*t**4 - 8*t**3/3 - t**2 - 2*t. Let z(d) be the first derivative of v(d). Factor z(y).
4*(y + 1)*(y + 2)*(9*y - 2)
Let r(y) = -4*y + 22. Let v be r(5). Suppose 7*u**4 - u**2 - 8*u**4 - 2*u**3 + 0*u**v = 0. Calculate u.
-1, 0
Let q = -5631 + 11263/2. Suppose 3/2*i - q*i**2 + 2 = 0. Calculate i.
-1, 4
Let o(z) = 12*z - 21. Let g be o(2). Let a(n) = n**3 + 5*n**2 + 2. Let t be a(-5). Factor 2*j**2 - 6*j**2 + 7*j**g + 4 - 5*j**3 - t*j.
2*(j - 2)*(j - 1)*(j + 1)
Suppose -3 = -3*t + 2*t. Suppose p = -3*z - 8, -4*z = -t*p - 2*p + 36. What is h in 16*h**2 - 19*h**3 - 4*h**5 - 5*h**4 + 19*h**3 - 7*h**p = 0?
-2, 0, 1
Let x be (-2)/7 - ((-228)/14 + -4). Let f be (-45)/18*-2*2/x. Factor -1/2*v**2 - f*v + 0.
-v*(v + 1)/2
Let u be -55*(-4)/20 - (-477)/(-63). Factor -u*i + 8/7 - 12/7*i**3 + 26/7*i**2 + 2/7*i**4.
2*(i - 2)**2*(i - 1)**2/7
Let x = -5 - -8. Determine w so that 5*w**2 - w**2 + 86*w**x - 85*w**3 + 3*w = 0.
-3, -1, 0
Let w(r) be the second derivative of -r**8/1344 + r**6/48 + r**5/12 - 23*r**4/12 + 7*r. Let g(k) be the third derivative of w(k). Factor g(p).
-5*(p - 2)*(p + 1)**2
Solve -11*j - 4*j + 0*j - 28*j + 23*j**2 - j - 4 = 0 for j.
-2/23, 2
Factor -9/2 + 3/4*q + 3/4*q**3 + 3*q**2.
3*(q - 1)*(q + 2)*(q + 3)/4
Suppose 5*j + 23*p - 18 = 22*p, 3*p + 2 = -j. Let o(t) be the first derivative of 2/3*t**3 + j*t**2 + 2 + 8*t. Factor o(f).
2*(f + 2)**2
Factor -2*u**2 - 33 - 2*u - 5*u - 17 - 13*u.
-2*(u + 5)**2
Let c(z) be the third derivative of -z**6/1320 + 17*z**5/660 - 2*z**4/33 + 352*z**2 + 2. Find j, given that c(j) = 0.
0, 1, 16
Let c be (-16*(-18)/(-2160))/((-2 - 0)/72). Suppose 24/5 + 32/5*a**3 - 68/5*a + c*a**2 = 0. Calculate a.
-2, 1/2, 3/4
Let r(u) be the first derivative of -u**6/24 - u**5/2 - 13*u**4/16 + 5*u**3 - 9*u**2/2 + 580. Solve r(i) = 0 for i.
-6, 0, 1
Suppose 3*p = -3*z, 2*z + 8*p = 4*p. Let r = 13 - 8. Factor 18/11*h**3 + 4/11*h**r + 2/11*h + z - 14/11*h**4 - 10/11*h**2.
2*h*(h - 1)**3*(2*h - 1)/11
Factor 5*y**2 + 40 + 13*y**2 + 7*y**2 + 60*y + 5*y**3 + 5*y**2.
5*(y + 2)**3
Suppose -2*m - 16*m = 0. Let b(n) be the second derivative of -2/75*n**6 + 0*n**5 - 4*n + 1/15*n**3 - 1/105*n**7 + 0*n**2 + m + 1/15*n**4. Factor b(f).
-2*f*(f - 1)*(f + 1)**3/5
Let h(f) be the first derivative of 2*f**3/3 - 112*f**2 + 6272*f + 656. Factor h(u).
2*(u - 56)**2
Let p(r) be the second derivative of 9*r**5/80 - 11*r**4/16 - r**3/2 + 2*r + 1. Find q such that p(q) = 0.
-1/3, 0, 4
Let b(d) = 18*d - 80. Let t be b(6). What is l in 6 + t*l + 98/3*l**2 = 0?
-3/7
Suppose -h + 15 = -4*x, -4*x = -5*h - 2*x + 21. Suppose 1 - 10 = -h*w. Find s such that 2*s**w + s**3 - s**2 - 2*s**3 - 3*s + s = 0.
-1, 0, 2
Let l = 140 + -144. Let p(f) = -4*f**2 + 8*f + 52. Let z(a) = -4*a**2 + 10*a + 51. Let m(i) = l*z(i) + 3*p(i). Factor m(x).
4*(x - 6)*(x + 2)
Let z(m) be the first derivative of m**3/9 + m**2/6 - 2*m + 50. Factor z(f).
(f - 2)*(f + 3)/3
Factor -14*i - 13*i - 36*i**3 - 34*i - 96*i**2 - 3*i - 4*i**4.
-4*i*(i + 1)*(i + 4)**2
Let p(k) be the second derivative of 0*k**4 + 0*k**2 - 2/15*k**5 - 7 + 1/9*k**6 - 2*k + 0*k**3. Solve p(b) = 0 for b.
0, 4/5
Let h(n) = -n + 5. Let i be h(10). Let b be 2*i/(-2) + -2. Factor -3/2*q**b - 1/2*q**2 + 0 + 0*q.
-q**2*(3*q + 1)/2
Let q(c) be the first derivative of -7*c**6/3 - 88*c**5/5 + 9*c**4/2 + 236*c**3/3 - 52*c**2 - 48*c + 127. Determine k, given that q(k) = 0.
-6, -2, -2/7, 1
Let -4*u**2 - 3 + 22*u - 10*u - 5 = 0. What is u?
1, 2
Let f = -1189 + 1193. Determine r, given that 4/7*r**f - 2/7*r - 4/7*r**2 + 0 + 0*r**3 + 2/7*r**5 = 0.
-1, 0, 1
Let j(i) be the second derivative of -3*i - 3/7*i**6 - 25/147*i**7 + 8/21*i**3 + 13/35*i**5 + 0 + 6/7*i**4 + 0*i**2. Solve j(a) = 0.
-2, -2/5, 0, 1
Let b = 165 + -165. Let y(s) be the third derivative of 5*s**2 + 0 + 1/10*s**5 + b*s - 1/40*s**6 - 1/8*s**4 + 0*s**3. Factor y(v).
-3*v*(v - 1)**2
Let c(k) be the first derivative of 2*k**3/21 - 2*k**2/7 - 65. Factor c(s).
2*s*(s - 2)/7
Let o be 10/7 + 423/(-329). Solve 2/7 + 3/7*z + o*z**2 = 0.
-2, -1
Let i(m) be the first derivative of m**7/70 + m**6/10 + 3*m**5/20 - m**4/2 - 2*m**3 - 9*m**2/2 + 9. Let a(l) be the second derivative of i(l). Factor a(q).
3*(q - 1)*(q + 1)*(q + 2)**2
Suppose 1 = -3*p + 4. Let i(x) = 9*x. Let r be i(p). Let 3*c + r*c + 12 - c**2 + 4*c**2 = 0. What is c?
-2
Let u(s) be the second derivative of -s**4/36 - 10*s**3/9 - 2*s + 40. Factor u(h).
-h*(h + 20)/3
Suppose -3*l = 3*a + 39, 4*l - l - 2*a + 44 = 0. Let h be (-8)/(-28) - (-4)/l. Solve -y + h + 1/2*y**2 = 0 for y.
0, 2
Suppose 2*v - 17 = -0*u - 3*u, -3*v = 2*u - 18. Factor -u*r**3 + 2 - 2*r**3 + 2*r**3 + 4 + 9*r.
-3*(r - 2)*(r + 1)**2
Let f = -12601 + 12604. Find c, given that -8/3*c**5 + 2*c + 8*c**4 - 16/3*c**2 - 10/3*c**f + 4/3 = 0.
-1/2, 1, 2
Let j(v) be the second derivative of v**4/10 - 73*v**3/15 + 24*v**2/5 + 5*v + 3. Factor j(m).
2*(m - 24)*(3*m -