= -1227 + 1236. Factor 5*o**2 - y*o + 12 - 15*o**2 + w*o**2.
-(o - 1)*(o + 12)
Suppose -f + 2210 = -5*v, 0 = 2*v - 0*v - 4*f + 902. Let w = v + 2206/5. Factor 0 + 16/5*u + w*u**3 - 8/5*u**2.
u*(u - 4)**2/5
Let h = -19583 - -235031/12. Let s(i) be the second derivative of 0 + h*i**3 + 48*i + 1/40*i**5 - 11/24*i**4 - 25/4*i**2. Find t, given that s(t) = 0.
1, 5
Let g(a) be the second derivative of 1/50*a**5 + 0 + 44*a - 1/3*a**3 - 3/5*a**2 - 1/30*a**4. Find j such that g(j) = 0.
-1, 3
Let z(l) = -9*l**2 - 3184*l - 617796. Let h(m) = 5*m**2 + 1596*m + 308898. Let t(g) = 5*h(g) + 3*z(g). Let t(y) = 0. What is y?
-393
Determine v so that -18/5*v**2 - 598/5*v - 132/5 = 0.
-33, -2/9
Suppose j - z + 80 = 0, j - 4*z - 280 = 5*j. Let s be (-4 + 1)*(j/9 + -2). Suppose 27*x + 4*x**3 + 62 + s*x - 10*x - 30 + 24*x**2 = 0. What is x?
-2
Factor -766*z + 12*z**3 - 155*z**2 + 378 - 1646*z + 2*z**4 - 2484 - 141*z**2.
2*(z - 13)*(z + 1)*(z + 9)**2
Factor -87/8 - 4*o - 1/8*o**2.
-(o + 3)*(o + 29)/8
Let k(f) = f**2 - 4*f + 10. Let w be 1 + 2 - (-4 - -4). Let l be k(w). Solve -29*v - 30 - l*v**2 + 4*v + 3*v**2 - v**2 = 0 for v.
-3, -2
Let w be 25/(-5) + (16/(-112))/(2/(-77)). Factor 0*n + 0 - w*n**3 - 1/6*n**4 - 1/3*n**2.
-n**2*(n + 1)*(n + 2)/6
Let f(y) be the first derivative of -2*y**3/3 + 273*y**2 - 225. Factor f(c).
-2*c*(c - 273)
Let p be ((-89400)/(-4500) - 40/2)*(-2 - 8). Factor 0 - p*v**2 - 40/9*v + 4/9*v**3.
4*v*(v - 5)*(v + 2)/9
Let g be (-9000)/1530 - ((-1 - -5) + -10). Determine m so that 0 - g*m**4 - 12/17*m + 8/17*m**3 - 2/17*m**2 = 0.
-1, 0, 2, 3
Let f = -1041847 - -1041850. Let k = 159/745 + -2/149. Suppose 3/5*g**f - 2/5 + 1/5*g**2 - 3/5*g + k*g**4 = 0. What is g?
-2, -1, 1
Find b such that 2/7*b**5 + 0 + 342/7*b**3 + 118/7*b**4 + 338/7*b**2 + 16*b = 0.
-56, -1, 0
Suppose -5*l - 123*l**2 - l**3 + 125*l**2 + 27 + 38*l + 3*l**2 = 0. What is l?
-3, -1, 9
Let a(m) = -17*m + 50806*m**2 - 3*m - 50810*m**2 + 6. Let k(o) = -o**2 - o - 1. Let d(l) = -a(l) + 6*k(l). Factor d(x).
-2*(x - 6)*(x - 1)
Let o(u) be the first derivative of 6*u**5/25 - 9*u**4/5 - 10*u**3 - 54*u**2/5 - 3724. Let o(s) = 0. What is s?
-2, -1, 0, 9
Let y(q) be the third derivative of 80/3*q**3 + 23*q**2 + 13/105*q**7 + 1/168*q**8 + 44/3*q**4 + 76/15*q**5 + 0*q - 2 + 16/15*q**6. Find p, given that y(p) = 0.
-5, -2
Factor 88*o**3 + 14*o - 280*o**3 + 90*o**3 + 103*o**3 - 8 - 7*o**2.
(o - 4)*(o - 2)*(o - 1)
Let c(s) be the first derivative of -s**5/40 + 5*s**4/24 - 2*s**3/3 + s**2 - 93*s - 129. Let f(k) be the first derivative of c(k). Solve f(v) = 0.
1, 2
Factor 0 + 21/2*c**4 - 3/2*c**5 + 30*c**2 - 27*c**3 - 12*c.
-3*c*(c - 2)**3*(c - 1)/2
Let k(c) be the second derivative of -c**7/21 + 4*c**6/15 + c**5/5 - 4*c**4/3 - c**3/3 + 4*c**2 + 17*c - 50. Find r, given that k(r) = 0.
-1, 1, 4
Let n(m) = 52*m**3 - 228*m**2 - 4720*m + 4992. Let x(l) = 8*l**3 - 35*l**2 - 726*l + 768. Let r(o) = -5*n(o) + 32*x(o). Find q, given that r(q) = 0.
-8, 1, 12
Let q(z) be the first derivative of -z**6/120 - 27*z**5/20 + 55*z**4/8 - 6*z**3 - 265. Let m(k) be the third derivative of q(k). Factor m(l).
-3*(l - 1)*(l + 55)
Suppose 775*r**2 + 4 + 195*r**4 - 4 - r**5 - 186*r**3 - 2339*r**2 - 397*r + 2725*r = 0. Calculate r.
-3, 0, 2, 194
Suppose 0 = 5*s - 2*f + 102, s - 3*f + 57 = 34. Let x be (-50 - -52)/(s/(-6)). Suppose 3/5*y**2 - x + 0*y = 0. Calculate y.
-1, 1
Let v be (-132500)/(-73125) - 56/(-52). Factor -2/3*q**2 + 20/9 + v*q.
-2*(q - 5)*(3*q + 2)/9
Let h = 16786/5157 + 404/5157. Find y such that 0*y + 1/3*y**3 + 0 + h*y**2 = 0.
-10, 0
Let a be ((-882)/(-105))/(2/5). Let v = -16 + a. Let q(l) = -116*l**2 - 136*l - 56. Let c(j) = -77*j**2 - 91*j - 37. Let f(w) = v*q(w) - 8*c(w). Factor f(u).
4*(3*u + 2)**2
Let q(d) be the second derivative of d**4/12 + 20*d**3 + 1800*d**2 - 157*d + 17. Factor q(s).
(s + 60)**2
Let k(m) be the first derivative of m**3/6 + 19*m**2 - 365. Solve k(c) = 0 for c.
-76, 0
Let y(q) = -6*q**3 - 381*q**2 + 528*q - 258. Let c(a) = -a**3 - 13*a**2 + a. Let t(k) = 9*c(k) - y(k). Factor t(s).
-3*(s - 86)*(s - 1)**2
Let h = -135721 - -135724. Factor 38/9*x**2 - 70/9*x - 2/9*x**h + 34/9.
-2*(x - 17)*(x - 1)**2/9
Let z(t) = -41*t + 4. Let y be z(-1). Let f = -42 + y. Factor -14*x + 3*x**2 + 5 + 26*x**f - 25*x**3 + 5*x.
(x - 1)**2*(x + 5)
Let c(s) be the third derivative of -s**5/60 - 1763*s**4/36 - 1175*s**3/18 + 2873*s**2 + s. What is w in c(w) = 0?
-1175, -1/3
Let k(s) be the second derivative of s**7/105 - 3*s**6/25 - 31*s**5/25 + 17*s**4/5 + 349*s**3/15 + 39*s**2 + 5568*s. Let k(g) = 0. What is g?
-5, -1, 3, 13
Factor -216/7 + 2/7*q**3 + 328/7*q - 114/7*q**2.
2*(q - 54)*(q - 2)*(q - 1)/7
Let j(t) be the second derivative of 4*t**7/35 + 71*t**6/25 - 9*t**5/5 - 41*t**4/2 + 196*t**3/5 - 108*t**2/5 + 577*t. Solve j(c) = 0.
-18, -2, 1/4, 1
Let j(a) = -12*a + 9 - 2*a**2 + 23*a**2 + 21 - 10*a + a**3. Let o be j(-22). Factor 35*h**2 + 65*h - 5*h**4 + 0*h**4 - 3*h**3 - 6*h**3 + o + 4*h**3.
-5*(h - 3)*(h + 1)**2*(h + 2)
Factor -3/7*v**4 + 4950/7*v**3 + 0 - 2041875/7*v**2 + 0*v.
-3*v**2*(v - 825)**2/7
Let s(k) = -29*k**2 + 242*k + 843. Let o(l) = 65*l**2 - 545*l - 1900. Let p(v) = -9*o(v) - 20*s(v). Factor p(t).
-5*(t - 16)*(t + 3)
Let q(z) be the first derivative of z**5/390 + z**4/26 - 7*z**3/39 + z**2/2 - 124*z - 66. Let y(g) be the second derivative of q(g). Solve y(h) = 0.
-7, 1
Let v(g) = -13 + 14 - 15 + 2*g + 0*g. Let s be v(8). Let -16*d**3 - d**2 - 5 + 15*d**3 + s + d + 4*d = 0. What is d?
-3, 1
Let q = -5 - -3. Let r be (4 + -6)/((3/q)/3). Let -30*v**3 + 36*v**2 - v - 8*v - 12*v + 9*v**r + 3 + 3*v = 0. What is v?
1/3, 1
Let g(q) be the second derivative of -1/60*q**6 - 2/45*q**5 - 1/36*q**4 + 4*q - 5/2*q**2 + 0*q**3 + 0. Let n(r) be the first derivative of g(r). Factor n(h).
-2*h*(h + 1)*(3*h + 1)/3
Let y(h) be the first derivative of -4*h**5/5 + 31*h**4/2 - 254*h**3/3 + 176*h**2 - 120*h + 1062. Solve y(o) = 0 for o.
1/2, 2, 3, 10
Let c be 4/6 + 0/23. Let i be (-1)/(15/6 + -3). Factor -2 + c*d**3 - 2/3*d**i - 10/3*d.
2*(d - 3)*(d + 1)**2/3
Let r = 423 + -422. Let t(d) be the first derivative of r + 1/2*d**2 + 1/3*d**3 - 1/4*d**4 - d. Factor t(c).
-(c - 1)**2*(c + 1)
Let u(j) = -3*j - 1. Let p be u(-1). Suppose -3*r - 16 = -4*f, -p*r - 4 = -f - 4*r. Factor 45 - 5*c**f + 10*c - 28*c**3 - 40*c**2 - 2*c**3 - 13*c + 33*c.
-5*(c - 1)*(c + 1)*(c + 3)**2
Let x be 39 + (-30604)/840 - 28/24. Let -x*l**4 + 17/5*l**3 - 1/5*l**5 - 9/5*l**2 + 0 + 0*l = 0. What is l?
-9, 0, 1
Suppose 12*o + 54 = 14*o. Determine y, given that 15*y**3 + 46*y**4 + 9*y**3 - 30*y**5 + 16*y - 19*y**4 - o*y**2 - 10*y = 0.
-1, 0, 2/5, 1/2, 1
Let g(j) = -27*j**2 - 6*j - 27. Let s(t) = -47*t**2 - 12*t - 54. Let v(h) = 7*g(h) - 4*s(h). Suppose v(w) = 0. Calculate w.
-3, 9
Let n(z) = -3*z**2 + 152*z - 1720. Let v = 58 + -53. Let x(o) = -2*o**2 + 101*o - 1147. Let j(y) = v*n(y) - 8*x(y). Find d such that j(d) = 0.
24
Let c(u) be the first derivative of -98*u**5/45 + u**4/3 + 98*u**3/9 - 116*u**2/9 + 8*u/3 + 3778. Find o such that c(o) = 0.
-2, 6/49, 1
Factor -5*g**2 + 1127*g + 19 + 1708*g + 2590 + 231.
-5*(g - 568)*(g + 1)
Let n(k) be the second derivative of k**6/15 - 23*k**5/10 + 7*k**4 + 50*k + 5. Find a, given that n(a) = 0.
0, 2, 21
Find f, given that -66*f - 6 - 214*f**2 + 35*f + 35*f + 566*f**2 = 0.
-3/22, 1/8
Find q such that 2*q**3 + 144/5*q**2 - 454/5*q - 204/5 = 0.
-17, -2/5, 3
Let b(l) be the third derivative of l**7/3360 - l**5/160 + l**4/48 + 14*l**3/3 + 4*l**2. Let m(z) be the first derivative of b(z). What is w in m(w) = 0?
-2, 1
Let p = 4653 + -4650. Let a(y) be the second derivative of 0*y**2 + 0*y**p + 0 - 1/6*y**4 - 1/15*y**6 + 1/5*y**5 + 9*y. Factor a(x).
-2*x**2*(x - 1)**2
Let z(v) be the second derivative of -v**5/40 - v**4/24 + 5*v**3/3 + 29*v + 30. Let z(d) = 0. Calculate d.
-5, 0, 4
Let a be 578 + -576 - (-40)/(-22). Find i such that -a*i**2 + 2/11*i**4 + 0 + 4/11*i**3 - 4/11*i = 0.
-2, -1, 0, 1
Solve -260/3*y + 200 + 43/6*y**2 - 1/6*y**3 = 0.
3, 20
Suppose -1073 = 7*v - 142. Let q be (-118)/v + 64/(-112). Find j such that 24/19 + 40/19*j + q*j**2 = 0.
-6, -2/3
Factor 224/5*i + 0 - 26/5*i**2.
-2*i*(13*i - 112)/5
Let d(z) be the third derivative of 0*z + 1/336*z**8 + 0*z**5 - 5*z**2 + 0*z**3 + 1/105*z**7 