. What is w?
-2, 0, 17
Let q(n) be the third derivative of -2/39*n**4 + 0*n + 91*n**2 - 3/13*n**3 + 0 + 1/390*n**5. Factor q(t).
2*(t - 9)*(t + 1)/13
Factor -3/2*i**4 - 3*i**2 + 12*i + 0 - 15/2*i**3.
-3*i*(i - 1)*(i + 2)*(i + 4)/2
Let r be ((980/(-1225))/(42/(-45)))/(8/826). Let -3 + r*u - 171/2*u**2 = 0. Calculate u.
2/57, 1
Let l(u) be the second derivative of -u**9/30240 + u**8/13440 + u**7/840 - u**4/12 - u**3/6 + 9*u. Let b(s) be the third derivative of l(s). Factor b(q).
-q**2*(q - 3)*(q + 2)/2
Let o(x) be the second derivative of -x**7/525 - 2*x**6/375 + x**4/75 + x**3/75 - 883*x. Solve o(q) = 0.
-1, 0, 1
Let d = 88204/132297 - 2/44099. Let s(q) be the first derivative of 4*q**2 + 11 - d*q**3 - 8*q. Factor s(z).
-2*(z - 2)**2
Determine y, given that -160*y**2 - 61/6*y - 150*y**3 - 1/6 = 0.
-1, -1/30
Let f(v) be the first derivative of -1/2*v**4 + 11 - 10/3*v**3 - 6*v - 7*v**2. Factor f(n).
-2*(n + 1)**2*(n + 3)
Let w(g) = 23*g**2 + 341*g - 347. Let q(h) = -8*h**2 - 114*h + 116. Let t(m) = -17*q(m) - 6*w(m). Suppose t(z) = 0. What is z?
-55, 1
Let d(j) be the first derivative of 4/5*j - 4/15*j**3 - 78 + 0*j**2. Factor d(m).
-4*(m - 1)*(m + 1)/5
Let k(o) be the third derivative of 121*o**7/210 - 209*o**6/10 + 3469*o**5/15 - 380*o**4 + 800*o**3/3 + 144*o**2 - 6*o. Suppose k(g) = 0. Calculate g.
4/11, 10
Factor -1/6*i**2 + 31/3*i + 64/3.
-(i - 64)*(i + 2)/6
Let m be (5 - (-148)/(-32)) + (-15469)/(-8). Let 1954*x**3 - 20*x**4 + 8*x**5 - 3*x**5 - m*x**3 = 0. Calculate x.
0, 2
Let u(l) = -11*l**3 - 201*l**2 + 6*l - 30. Let z(w) = 10*w**3 + 200*w**2 - 5*w + 25. Let p(y) = 5*u(y) + 6*z(y). Determine n, given that p(n) = 0.
-39, 0
Let d(p) = 22*p + 267. Let o be d(-12). Let f(u) be the second derivative of 13*u - 1/12*u**4 + 17/30*u**o - 3/5*u**2 + 0. Factor f(j).
-(j - 3)*(5*j - 2)/5
Suppose 3*b - 4 = -4*w, -29*w = -25*w + 8. Let a(z) be the first derivative of -b + 15/2*z**2 + z**3 + 9*z - 3/4*z**4. Determine v, given that a(v) = 0.
-1, 3
Let y(u) be the first derivative of -2*u**5/25 - u**4/5 + 26*u**3/15 + 38*u**2/5 + 48*u/5 + 712. Find n, given that y(n) = 0.
-3, -2, -1, 4
Let n(a) be the second derivative of 80*a**7/21 + 12616*a**6/15 + 1761*a**5/2 + 1021*a**4/3 + 157*a**3/3 - 1415*a + 1. Suppose n(f) = 0. What is f?
-157, -1/4, -1/5, 0
Suppose 55*f - 5*c + 78 = 56*f, -27 - 3 = -2*c. Let -12/7*a**4 - 8/7*a + 54/7*a**2 - 34/7*a**f + 0 = 0. Calculate a.
-4, 0, 1/6, 1
Suppose 100*a = -233 + 633. Let x(p) be the second derivative of 5*p + 0*p**2 - 1/24*p**3 + 0 + 1/12*p**a. Factor x(g).
g*(4*g - 1)/4
Find i such that -1/5 - 5418/5*i**2 + 79507/5*i**4 - 128/5*i - 14792*i**3 = 0.
-1/43, 1
Let m(v) be the first derivative of -v**5/25 + 9*v**4/20 + v**3/15 - 9*v**2/10 + 9760. Factor m(t).
-t*(t - 9)*(t - 1)*(t + 1)/5
Let o(u) be the first derivative of 5*u**4 - 5432*u**3/3 - 9338*u**2 - 6600*u + 3981. Factor o(w).
4*(w - 275)*(w + 3)*(5*w + 2)
Let l = -487387/2 - -243695. Find d such that -1/4*d**2 - 1/4*d**3 + 0 + l*d = 0.
-3, 0, 2
Let h(r) be the third derivative of r**7/70 + 9*r**6/10 + 57*r**5/4 - 361*r**4/4 - 364*r**2 + r. Factor h(p).
3*p*(p - 2)*(p + 19)**2
Suppose 7*d = -3*d + 260. Factor -2*m**2 + 5*m**2 - d + 5 - 18*m.
3*(m - 7)*(m + 1)
Let d(r) be the second derivative of 9*r**5/4 - 19*r**4/4 - 13*r**3 + 12*r**2 - 16*r + 12. Suppose d(t) = 0. What is t?
-1, 4/15, 2
Suppose 3963*q - n - 140 = 3959*q, 0 = 2*q + n - 76. Factor -1/3*g**4 - q*g**2 - 6*g**3 - 49 - 238/3*g.
-(g + 1)*(g + 3)*(g + 7)**2/3
Suppose 59 - 17 = 7*b. Let f(n) be the second derivative of -1/5*n**5 + 6*n + 0*n**3 + 0 + 4/15*n**b - 2/3*n**4 + 0*n**2 + 2/21*n**7. Factor f(d).
4*d**2*(d - 1)*(d + 1)*(d + 2)
Let s(u) be the second derivative of 0*u**3 + 1/50*u**6 - 13/20*u**4 + 9/25*u**5 + 0*u**2 - 18*u + 0. Solve s(m) = 0 for m.
-13, 0, 1
Let k(d) = 90*d**2 + 653*d - 330. Let h(g) = 113*g**2 + 653*g - 331. Let q(z) = -4*h(z) + 5*k(z). Factor q(m).
-(m - 326)*(2*m - 1)
Factor 15*l**2 - 7*l**2 + 23 - 7*l**2 + 40 + 60*l - 4*l**2.
-3*(l - 21)*(l + 1)
Let r(j) be the third derivative of -2 - j**4 + 0*j + 49*j**2 - 1/168*j**8 + 2/15*j**5 - 4/105*j**7 + 13/60*j**6 + 0*j**3. Let r(m) = 0. Calculate m.
-6, -1, 0, 1, 2
Let n(u) be the second derivative of u**6/55 + 9*u**5/110 - 54*u**4/11 + 14562*u. What is h in n(h) = 0?
-12, 0, 9
Let b(c) = -6*c**4 - 177*c**3 + 210*c**2 + 759*c - 765. Let s(i) = -i**4 + 4*i**3 + 2*i**2 + i + 1. Let g(u) = b(u) - 3*s(u). Find p such that g(p) = 0.
-64, -2, 1, 2
Let q be 15/2 - (-2 - -2). Let o = 38555 - 38553. Determine d so that -75/4*d + 0 + q*d**o - 3/4*d**3 = 0.
0, 5
Let u(y) be the first derivative of -y**3/3 - 249*y**2/2 - 494*y + 1559. Factor u(n).
-(n + 2)*(n + 247)
Suppose 0 = 4*c + v - 33 + 31, -3*v = -5*c - 6. Let o be (-40)/6 + (-40)/(-5). Factor -2/3*k**5 - o*k**4 + c*k**3 + 0*k + 0 + 0*k**2.
-2*k**4*(k + 2)/3
Let s(g) be the first derivative of -g**6/1080 + 17*g**5/180 + 35*g**4/72 - 136*g**3/3 - 70. Let f(u) be the third derivative of s(u). Factor f(k).
-(k - 35)*(k + 1)/3
Suppose 61 - 59 = r. Solve -46*i - 12*i**2 + 2*i - 6 + r*i + 17*i - 2*i = 0 for i.
-2, -1/4
Factor -1/3*s**2 - 104 + 38/3*s.
-(s - 26)*(s - 12)/3
Let u = 637 - 606. Suppose 33*x = u*x. Find p, given that 15/7*p**3 - 12/7*p**4 + 0*p + 3/7*p**5 - 6/7*p**2 + x = 0.
0, 1, 2
Let x = -12442434/6391 + 1772/581. Let w = -1942 - x. Factor -w*p - 2/11*p**2 - 50/11.
-2*(p + 5)**2/11
Let j(a) = 13*a**4 - 3*a**3 - 46*a**2 + 42*a - 12. Let t(f) = -22*f**4 + 5*f**3 + 91*f**2 - 84*f + 20. Let k(r) = 5*j(r) + 3*t(r). Factor k(i).
-i*(i - 6)*(i - 1)*(i + 7)
Suppose 4*u = 3*k + 2*k + 43, 5*k + 31 = 3*u. Suppose -332*t**2 + 13*t + 330*t**2 + u - 3*t = 0. Calculate t.
-1, 6
Let c be ((-99)/66)/(-1 - (-13)/14). Find y such that 383*y - c - 40 - 329*y + 4 + 3*y**2 = 0.
-19, 1
Let t(p) be the first derivative of 1/30*p**4 + 6/5*p**2 + 7/15*p**3 - 10*p - 25. Let m(h) be the first derivative of t(h). Determine u, given that m(u) = 0.
-6, -1
Let b = 13619 + -190661/14. Let o(z) be the first derivative of -1/3*z**6 + b*z**4 + 0*z + 2 + 6/7*z**3 + 2/7*z**2 - 18/35*z**5. Let o(f) = 0. What is f?
-1, -2/7, 0, 1
Let d(g) be the first derivative of -g**5/15 - g**4/2 + 20*g**3/3 - 30*g**2 + 38. Let r(k) be the second derivative of d(k). Suppose r(u) = 0. Calculate u.
-5, 2
Let p(h) = 5*h**4 + 4*h**3 + 15*h**2 - 28*h - 58. Let y(v) = -3*v**4 - v**2 - 1. Let z(w) = -3*p(w) - 6*y(w). Factor z(i).
3*(i - 5)*(i - 3)*(i + 2)**2
Let x(m) be the second derivative of m**4/24 - 49*m**3/6 + 2401*m**2/4 - 527*m. Let x(l) = 0. What is l?
49
Let x = 75/4771 - 15138908/33397. Let j = -452 - x. Solve j*q - 6/7*q**2 + 0 - 3/7*q**3 = 0 for q.
-3, 0, 1
Let l(m) be the second derivative of -1/96*m**4 + 1/4*m**2 - 56*m + 0*m**3 + 0. Find n, given that l(n) = 0.
-2, 2
Let d(z) be the third derivative of -z**5/20 - 59*z**4/4 + 120*z**3 + 96*z**2 + 3*z. Factor d(x).
-3*(x - 2)*(x + 120)
Factor 8*t**2 + 723*t - 92 + 846*t + 636*t - 3162*t + 591*t.
2*(t - 46)*(4*t + 1)
Let k(o) be the second derivative of -o**5/12 + 253*o**4/36 - 74*o**3/9 - 50*o**2/3 - 1141*o. Suppose k(u) = 0. What is u?
-2/5, 1, 50
Solve 0 + 1/6*z - 19/6*z**2 = 0.
0, 1/19
Let b be 0 + -9 - ((-12)/34 + 52640/(-5950)). Find d, given that -14/5*d**4 + 144/5*d**2 - 864/5 - b*d**5 - 8*d**3 + 432/5*d = 0.
-6, 2
Let a(m) = m + 18. Let b be a(-15). Factor -7*z**b - 8*z**3 - 5*z**3 - 7*z**3 + 12*z + 8*z**2 + 23*z**3.
-4*z*(z - 3)*(z + 1)
Suppose -4*d = 13*d - 2*d. Solve 3*a**2 + d*a + 9*a + 6*a + 12 = 0.
-4, -1
Let c(z) be the second derivative of -z**5/100 + 29*z**4/60 + 16*z**3/5 - 606*z. Find t, given that c(t) = 0.
-3, 0, 32
Let s(y) be the first derivative of -y**6/21 + 4*y**5/5 + 19*y**4/14 - 16*y**3/3 - 60*y**2/7 - 3180. Find x, given that s(x) = 0.
-2, -1, 0, 2, 15
Let g(i) be the second derivative of i**4/24 + 11*i**3/3 - 45*i**2/4 + 511*i. Factor g(n).
(n - 1)*(n + 45)/2
Suppose -u - 23 = 3*r, 3*r + 13*u = 16*u - 15. Let p be (-35)/15*4/r. Factor 2/3*n**3 - 2/3*n - 4/3*n**2 + p.
2*(n - 2)*(n - 1)*(n + 1)/3
Let u = 17511/14012 - -1/3503. Let j = 3 + -11/4. Let -j*p**2 + 0 + 0*p - u*p**3 = 0. What is p?
-1/5, 0
Let b be 582/(-970)*(-2)/24. Let z(d) be the third derivative of d**3 - b*d**5 - 1/8*d**4 - 10*d**2 + 0 + 0*d. Factor z(r).
-3*(r - 1)*(r + 2)