 - 8*d**2 - 3*d + 2. Let r(y) = -5*j(y) + 40*l(y). Factor r(o).
-5*(o - 1)**2*(o + 2)
Let a(m) be the second derivative of m**6/45 + 37*m**5/30 - m**4/18 - 37*m**3/9 - 4*m + 6. Solve a(d) = 0.
-37, -1, 0, 1
Let x(m) be the second derivative of 81*m**7/77 - 63*m**6/11 - 6*m**5/5 + 46*m**4/33 + 16*m**3/33 + m + 1. Let x(o) = 0. Calculate o.
-2/9, 0, 1/3, 4
Suppose 0 = 23*l - 29953 + 29884. Let 135/2*f**2 + 36*f + 6 + 75/2*f**l = 0. What is f?
-1, -2/5
Let x be 3/((-6)/(-16)) + -3. Suppose 4*q - 12 = 0, x*v - 8 - 25 = -q. Factor 2*w**2 - 2*w**2 + 2*w**5 + 2*w**3 + 2*w**2 - 4*w - v*w**4 + 4*w**2.
2*w*(w - 2)*(w - 1)**2*(w + 1)
Suppose -12*j**3 - 8*j**4 + 14*j**5 - 16*j + 19*j**5 - 57*j**5 + 32*j**2 + 11*j**5 + 17*j**5 = 0. What is j?
-2, 0, 1, 2
Suppose -s = 3*s + f - 16, 0 = -5*f. Suppose p - 2*m = -2, -s*p + 0*m + 36 = 3*m. Factor p*r - 8 - 6*r**2 + r**3 + 7*r - r.
(r - 2)**3
Let j(x) be the third derivative of x**7/105 + x**6/20 - 7*x**5/15 - 4*x**4 - 32*x**3/3 - 109*x**2. Solve j(o) = 0 for o.
-4, -2, -1, 4
Let r(w) be the first derivative of 4*w**5/5 + 4*w**4 - 44*w**3/3 + 12*w**2 + 27. Factor r(i).
4*i*(i - 1)**2*(i + 6)
Let x(o) be the first derivative of 2*o**3/15 + 18*o**2 + 810*o - 168. Find n, given that x(n) = 0.
-45
Let u(f) be the second derivative of -7*f + 0 + 3/2*f**2 + f**3 - 1/10*f**6 + 0*f**4 - 3/10*f**5. Factor u(k).
-3*(k - 1)*(k + 1)**3
Suppose -4*m + 17 = 1. Solve -m*v**4 + 12*v**3 + 4999*v - 4999*v = 0.
0, 3
Suppose 0 = -162*s + 301 + 347. Solve 14/9*o**3 - o**5 + 2/9*o**2 - 1/3*o**s + 1/9 - 5/9*o = 0 for o.
-1, 1/3, 1
Let v = 2033 - 2030. Solve -2/5*w**4 + 2/5*w**v - 2/5*w - 4/5 + 6/5*w**2 = 0.
-1, 1, 2
What is u in 0*u + 1/2*u**5 - 1/2*u**2 - 1/2*u**3 + 1/2*u**4 + 0 = 0?
-1, 0, 1
Let t be 0 + -2 + 1 - -5. Suppose 3*n + 2 = -3*z + 8, t*n = 4*z + 16. Let -6 + 13*w - 2*w**2 + w**n - 34*w**2 + 14*w + 14*w**3 = 0. What is w?
2/5, 1
Let k(z) be the first derivative of -11*z**3 - 199*z**2/2 - 6*z - 572. Find i, given that k(i) = 0.
-6, -1/33
Suppose 54 = 2*y - 4*y. Let t be ((-2)/(-6) + 117/y)/(-18). Solve 0*j**2 + 0 + 2/9*j**5 + 0*j**3 + 0*j - t*j**4 = 0 for j.
0, 1
Let g(h) = -3*h**2 + 51*h. Let w(n) = 28*n**2 - 459*n. Let f(q) = 57*g(q) + 6*w(q). What is i in f(i) = 0?
0, 51
Let r(s) be the second derivative of 7*s**5/4 - 205*s**4/12 - 5*s**3 - s + 9. Factor r(c).
5*c*(c - 6)*(7*c + 1)
Let v be 22/12 - ((-2)/4 - (-5 - -3)). Factor 1/3*w**2 + 0*w - 2/3*w**3 + 0 + v*w**4.
w**2*(w - 1)**2/3
Let q = 1703 + -1703. Factor -1/5*h**4 + q*h + 0*h**3 + 2/5*h**2 - 1/5.
-(h - 1)**2*(h + 1)**2/5
Let a be (9/(-6))/(3/(-16)). Suppose -4*d + 2*c + a = 4*c, 3*d - 6 = 4*c. Determine u, given that -u - u - u - u**d = 0.
-3, 0
Suppose 16 = 8*s - 8. Let j(t) be the second derivative of -2*t + 0 + 3/2*t**2 - s*t**3 - 3/5*t**5 + 9/4*t**4. Factor j(m).
-3*(m - 1)**2*(4*m - 1)
Suppose 0 = -8*y + 522 - 490. Determine x, given that 4/3*x**2 + y*x - 16/3 = 0.
-4, 1
Let 7*a**3 + 5*a**2 - 4*a**3 + 168*a + 64 + 9*a**3 + 15*a**2 + 96*a**2 = 0. What is a?
-8, -1, -2/3
Factor -11*j**2 + 19*j**2 - 395*j - 30 + 59*j**2 + 68*j**2.
5*(j - 3)*(27*j + 2)
Let o be 3 + (-880)/24 - 4/(-6). Let g = 33 + o. Let 0*q**2 + g*q + 2/5*q**3 - 2/5*q**4 + 0 = 0. Calculate q.
0, 1
Suppose -2*s - 8 - 4 = 0, -h + 4*s = -29. Find k, given that 1/3*k**h + 0*k - k**4 + 7/3*k**2 - 1/3*k**3 - 4/3 = 0.
-1, 1, 2
Let w(n) = n**3 - 8*n**2 + 8*n + 15. Let y be w(7). Let f(a) = -a**2 - a - 1. Let t(p) = -9*p**2 - 15*p - 9. Let h(s) = y*f(s) - 2*t(s). Solve h(l) = 0.
1
Let n = -6389/55 + 589/5. Find k such that n - 24/11*k + 2/11*k**4 - 4/11*k**2 + 8/11*k**3 = 0.
-3, 1
Let q(s) = 3*s**4 + 2*s**3 + 3*s**2 - 2*s - 2. Let b(y) = 16*y**4 + 9*y**3 + 16*y**2 - 8*y - 11. Let t(u) = -4*b(u) + 22*q(u). Find k such that t(k) = 0.
-3, -2, 0, 1
Suppose 4*c + 16 = 12*c. Find q such that -2/15*q + 4/15 - 2/15*q**c = 0.
-2, 1
Let q(t) = -5*t**2 + 40*t - 50. Let v(c) = 2*c + 1. Let g(w) = q(w) + 5*v(w). Factor g(s).
-5*(s - 9)*(s - 1)
Let s(f) = 10*f**4 - 53*f**3 + 27*f**2 + 53*f - 11. Let r(v) = -2*v**4 + 13*v**3 - 7*v**2 - 13*v + 3. Let h(b) = -26*r(b) - 6*s(b). Solve h(m) = 0 for m.
-3, -1, 1/2, 1
Factor -52 - f - 21*f - 48 - 40 + 5*f**2 - 38*f.
5*(f - 14)*(f + 2)
Let d be 2 - (-1 + 8 - 8). Let m(h) be the third derivative of -16/25*h**5 - 8/15*h**3 + 14/15*h**4 + 0 - d*h**2 + 0*h - 7/150*h**6 + 7/150*h**7. Factor m(t).
(t - 2)*(t + 2)*(7*t - 2)**2/5
Let i be 1450/(-11600)*(-2 - -1)*2. Factor 0*d**3 + 1/4*d**5 + 0 + 1/2*d**4 - 1/2*d**2 - i*d.
d*(d - 1)*(d + 1)**3/4
Let z(f) be the third derivative of -f**9/151200 - f**8/50400 + f**5/15 - 34*f**2. Let b(q) be the third derivative of z(q). Let b(l) = 0. What is l?
-1, 0
Let x(d) be the first derivative of -d**6/15 + d**4/6 - 6*d + 9. Let n(a) be the first derivative of x(a). Factor n(g).
-2*g**2*(g - 1)*(g + 1)
Let w(d) = d**3 + d**2 + d + 1. Let k(c) = 12*c**3 + 51*c**2 - 90*c + 87. Let h(i) = k(i) - 15*w(i). Let h(t) = 0. What is t?
1, 3, 8
Let g(o) be the second derivative of o**4/18 + 56*o**3/9 + 784*o**2/3 + 387*o. Let g(x) = 0. What is x?
-28
Let o(w) be the third derivative of -w**9/362880 - w**8/60480 + 2*w**5/15 + 21*w**2. Let d(n) be the third derivative of o(n). Factor d(k).
-k**2*(k + 2)/6
Let x = 30 - 86/3. Let y be ((-6)/(-5)*(16 - 290/15))/(-6). What is z in -x*z + 0 + 0*z**3 + 2*z**2 - y*z**4 = 0?
-2, 0, 1
Let z(v) be the first derivative of -v**4/28 - v**3/21 + 688. Factor z(p).
-p**2*(p + 1)/7
Let c(i) be the second derivative of -i**6/420 - i**5/35 - 3*i**4/28 - i**2 + 13*i. Let p(q) be the first derivative of c(q). Factor p(k).
-2*k*(k + 3)**2/7
Factor 8/3*v**4 + 0*v + 0 + 2/3*v**5 + 10/3*v**3 + 4/3*v**2.
2*v**2*(v + 1)**2*(v + 2)/3
Let k(z) be the second derivative of 2*z**6/15 - 12*z**5/5 + 9*z**4 + 8*z**3/3 - 72*z**2 + 275*z. Factor k(i).
4*(i - 9)*(i - 2)**2*(i + 1)
Suppose -78*i - 58 = -267 - 25. Factor -4/5*h**2 + 2/5*h**i + 0 + 2/5*h**4 + 0*h.
2*h**2*(h - 1)*(h + 2)/5
Let z(f) = -f**2 - f - 1. Let w(r) = 3*r**2 + 11*r + 1. Let u(h) = w(h) + z(h). Factor u(x).
2*x*(x + 5)
Let z = 0 + -8. Let y(t) = -t - 6. Let j be y(z). Factor 9*o**4 - 9*o**j - 6*o**4 - 7*o + o.
3*o*(o - 2)*(o + 1)**2
Let q(t) be the first derivative of 2/3*t**6 + 0*t**5 + 0*t**3 + 0*t**2 + 0*t - 16 - t**4. Factor q(f).
4*f**3*(f - 1)*(f + 1)
Suppose -2*o - 84 = 3*i - 105, -2*o = -3*i - 3. Find c such that 0 + 0*c - 3*c**2 - 3/2*c**i = 0.
-2, 0
Let n(x) be the second derivative of -2*x**6/15 - x**5/5 + 7*x**4/3 + 26*x**3/3 + 12*x**2 + 63*x. Factor n(b).
-4*(b - 3)*(b + 1)**2*(b + 2)
Let f be (-13)/((-1404)/30) - 4/(-18). Factor f*n**5 + 0*n + 15/2*n**3 - 9/2*n**4 - 7/2*n**2 + 0.
n**2*(n - 7)*(n - 1)**2/2
Let y = 159 - 154. Suppose y*w + 5*r - 25 = 0, -4*w - 7*r + 23 = -2*r. Determine k so that 0*k**w + 0 + 2/3*k - 2/3*k**3 = 0.
-1, 0, 1
Let p = -50180 + 1003401/20. Let f = p - -51/5. Let 1/4*v**2 - f + 0*v = 0. Calculate v.
-1, 1
Let x = -412 + 239. Let p = x + 178. Suppose 2/5*f**3 + 0*f + 0*f**2 - 2/5*f**p + 0 + 0*f**4 = 0. What is f?
-1, 0, 1
Let w(v) be the first derivative of -v**3 + 12*v**2 + 60*v + 664. Factor w(f).
-3*(f - 10)*(f + 2)
Suppose -13*z + 2*q + 8 = -8*z, -2*z - 4*q + 8 = 0. Solve -1/7*n**5 + 0 - 1/7*n**z - 2/7*n + 1/7*n**4 + 3/7*n**3 = 0 for n.
-1, 0, 1, 2
Let t(q) be the first derivative of 5*q + 3 + 1/36*q**3 + 1/24*q**4 + 0*q**2. Let g(i) be the first derivative of t(i). Factor g(f).
f*(3*f + 1)/6
Let f(x) be the second derivative of 0 + 2/3*x**4 + 0*x**3 + 1/5*x**5 + 31*x + 0*x**2. Factor f(m).
4*m**2*(m + 2)
Let l = 50 + -46. Let q be 162/72 - (1 + 0)/l. Factor -3/4*d - 3/2*d**q + 0 - 3/4*d**3.
-3*d*(d + 1)**2/4
Let o be (18 + (-47399)/2635)/(2/20). What is v in -18/17*v + o - 20/17*v**2 = 0?
-1, 1/10
Suppose -92*f**2 - 1697*f**4 + 1056*f**3 - 4 - 165*f**2 + 79*f**2 - 486*f**2 + 96*f + 1213*f**4 = 0. Calculate f.
1/11, 1
Let i(v) be the third derivative of -3*v**5/4 - 595*v**4/24 - 65*v**3/3 - 570*v**2. Determine l so that i(l) = 0.
-13, -2/9
Let i(v) be the second derivative of -v**7/22680 + v**6/6480 + v**5/540 + 7*v**4/6 + 18*v. Let x(r) be the third derivative of i(r). Factor x(y).
-(y - 2)*(y + 1)/9
Let q = 1385/5949 + -7/661. Suppose m - 3*m = -4. Suppose 2/9*p + 0 - 2/9*p**3 - q*p**4 + 2/9*p**m = 0. What is p?
-1, 0, 1
Let n b