-27*j**4 + 94*j**3 - 105*j**2 - 202*j - 8. Let m(a) = 34*a**4 - 93*a**3 + 106*a**2 + 203*a + 10. Let h(f) = -4*m(f) - 5*n(f). Factor h(c).
-c*(c - 2)*(c + 1)*(c + 99)
Let y = -5300214/5 - -1060044. Solve 3/5*v**3 - 6/5 + y*v**2 - 3/5*v = 0.
-2, -1, 1
Solve 185 + 55 + 232*x**2 - 1065160*x + 1064684*x + 4*x**3 = 0.
-60, 1
Let m(x) be the second derivative of -3*x**5/20 + 6*x**4 - 90*x**3 + 600*x**2 - 174*x + 9. Factor m(v).
-3*(v - 10)**2*(v - 4)
Suppose 2*m + 27 = 11*m. Suppose 0 = -5*s - 5, m*y = -s + 11. Factor 8*k + 42*k**2 - 40*k**2 + 3 - 1 + y.
2*(k + 1)*(k + 3)
Let b(u) be the first derivative of 2*u**6/3 - 4*u**5 - 9*u**4 + 164*u**3/3 + 64*u**2 - 240*u + 689. Solve b(o) = 0.
-2, 1, 3, 5
Factor 0 + 209/3*a**3 + 4/3*a - 20*a**2.
a*(11*a - 2)*(19*a - 2)/3
Determine r so that 10*r**2 + 2/3*r**3 - 2/3*r - 10 = 0.
-15, -1, 1
Let p(o) be the second derivative of -o**4/60 + 62*o**3/15 + 78*o**2 + 19*o - 128. Solve p(x) = 0.
-6, 130
Let x(v) = -v**3 + 24*v**2 + 20*v - 30. Let r be x(19). Factor -r*m**2 - 2*m + 2*m + 2*m**3 - 4*m**3 + 2157*m**2.
-2*m**2*(m - 1)
Let a(w) be the third derivative of 1/144*w**8 - 6*w**2 - 2 - 1/8*w**4 + 13/210*w**7 + 17/90*w**5 + 0*w + 11/60*w**6 - 1/2*w**3. Factor a(p).
(p + 1)**3*(p + 3)*(7*p - 3)/3
Suppose 459 = 105*v - 54*v. Let p = 15 - 11. Solve -6*b**3 + 15*b**2 + 15*b**p - 33*b**4 - v*b - b**3 + 19*b**4 = 0 for b.
0, 1, 3
Let q(z) be the third derivative of -z**8/1680 + 23*z**7/1050 - 11*z**6/300 + 594*z**2 + 1. Solve q(b) = 0 for b.
0, 1, 22
Let o(l) be the second derivative of -5*l - 14 + 24*l**3 + 12/5*l**5 + 0*l**2 + 13*l**4 + 1/10*l**6. What is a in o(a) = 0?
-12, -2, 0
Let w = 160593/2 - 80296. Solve -4*v**2 + 2*v + 5/2*v**3 - w*v**4 + 0 = 0.
0, 1, 2
Factor -162*i**4 - 13*i**3 - 160*i + 65*i**3 + 140 - 30 - 6 + 6*i**2 + 160*i**4.
-2*(i - 26)*(i - 1)**2*(i + 2)
Let w(j) be the third derivative of j**7/1680 + j**6/360 + j**5/240 - 2*j**3 - 3*j**2 + 3. Let b(m) be the first derivative of w(m). Let b(g) = 0. What is g?
-1, 0
Let n(u) be the second derivative of 9/4*u**5 + 30*u**2 + 0 - 235/12*u**4 - 110/3*u**3 - 22*u. Factor n(h).
5*(h - 6)*(h + 1)*(9*h - 2)
Factor 154/5*r**2 - 2*r + 2/5*r**4 - 180 + 34/5*r**3.
2*(r - 2)*(r + 5)**2*(r + 9)/5
Suppose -98 = -5*b - 2*b. Determine i, given that 21*i**2 - b*i + 357 - 34*i - 345 = 0.
2/7, 2
Factor -8/3*f**2 - 13592/3*f - 5773202/3.
-2*(2*f + 1699)**2/3
Suppose -373*a = -1127 + 1127. Factor 2/5*j**2 + 0 + a*j.
2*j**2/5
Let y(n) be the second derivative of -961/11*n**2 + 62/33*n**3 + 122*n + 0 - 1/66*n**4. Let y(g) = 0. Calculate g.
31
Let x be (4 - (15 + -9))*-14. Suppose -20*l**2 - 40*l**2 - 52*l - x*l**3 - 16 + 22*l**4 - 26*l**4 = 0. Calculate l.
-4, -1
Let j be (-4)/18*(72 - 18414/248). Determine b, given that -15*b + 225/2 + j*b**2 = 0.
15
Let l = 3000127/6 + -500021. Suppose -1/6*q**4 - 5/6*q + 5/6*q**3 + l*q**2 + 0 = 0. Calculate q.
-1, 0, 1, 5
Factor -2/19*s**5 + 20/19*s**4 + 0 - 72/19*s**3 - 54/19*s + 108/19*s**2.
-2*s*(s - 3)**3*(s - 1)/19
Suppose 4*b - 36 = 389*g - 386*g, -5*g + 18 = 2*b. Find n such that 1/7*n + g - 2/7*n**3 + 1/7*n**2 = 0.
-1/2, 0, 1
Solve -28*t + 12*t**3 - 12 - 47*t - 19*t**2 - 7*t - 40*t**2 + t**2 = 0.
-1, -1/6, 6
Let v = 61 - 59. Factor 4*k**2 + 4*k**2 - 9*k**2 - 3*k**v + 16*k - 12.
-4*(k - 3)*(k - 1)
Factor -3*k**3 + 748893*k - 1105003*k + 3942*k**2 - 934886*k - 2597784.
-3*(k - 658)**2*(k + 2)
Let q(g) be the third derivative of -g**6/360 + 353*g**5/45 - 124609*g**4/18 + 3048*g**2 + 2. Factor q(v).
-v*(v - 706)**2/3
Let n(g) be the first derivative of -g**6/90 + g**5/9 - 4*g**4/9 + 8*g**3/9 - 47*g**2 - 87. Let z(b) be the second derivative of n(b). Factor z(l).
-4*(l - 2)**2*(l - 1)/3
Let m(j) be the second derivative of -3*j**5/20 + 19*j**4/4 - 37*j**3 + 84*j**2 + 670*j. Factor m(g).
-3*(g - 14)*(g - 4)*(g - 1)
Suppose -u = -f - 2, -2*f = 5*u - 6*u + 2. Factor -106*v + 52*v + 58*v + 3 + 3 - 2*v**u.
-2*(v - 3)*(v + 1)
Let z(q) = 2*q**3 - 4*q**2 - q + 2. Let u be z(2). Suppose u = -2*n - 208 + 214. Factor -3*k - 6533 + n*k**2 + 6533.
3*k*(k - 1)
Factor 207*w**2 + 576*w - 4*w**3 + 56*w**3 + 159*w**2 - 2*w**4.
-2*w*(w - 32)*(w + 3)**2
Let o(x) = x**2 + 200*x + 157. Let q(u) = 4*u**2 + 1000*u + 772. Let p(y) = -16*o(y) + 3*q(y). Solve p(g) = 0 for g.
-49, -1
Let c be 3 - 9/2*10/(-15). Let k be 0 + c + (-296)/52. Solve 8/13 - 14/13*i + k*i**2 + 2/13*i**3 = 0 for i.
-4, 1
What is s in 38/3*s - 2 - 43/2*s**2 + 35/6*s**3 = 0?
2/7, 2/5, 3
Let r be 89/21 + 384/(-672) + 2 + -4. Let h(y) be the first derivative of r*y**3 - 10*y - 10 - 5/2*y**2. Factor h(v).
5*(v - 2)*(v + 1)
Let i(l) be the third derivative of -71*l**4/24 - 137*l**3/6 - l**2 + 8*l. Let w be i(-2). Factor 0 + 3/2*n**4 - 15/2*n**2 + 9/2*n**3 - 3/2*n**w + 3*n.
-3*n*(n - 1)**3*(n + 2)/2
Let g(a) be the first derivative of -2/5*a**5 - 68*a + 70/3*a**3 - 94 - 33/2*a**4 + 33*a**2. Factor g(w).
-2*(w - 1)**2*(w + 1)*(w + 34)
Let o(f) = 2*f**3 - 152*f**2 - 312*f + 4. Let a be o(78). Let i(y) be the second derivative of y**3 - 1/36*y**a - 27/2*y**2 + 29*y + 0. Factor i(k).
-(k - 9)**2/3
Let o(n) be the first derivative of n**4/4 - 32*n**3/9 + 89*n**2/6 - 20*n - 5787. Factor o(b).
(b - 3)*(b - 1)*(3*b - 20)/3
Let q(o) be the third derivative of -7*o**6/10 - 68*o**5/15 - 6*o**4 + 3*o**2 - 178*o - 3. Solve q(s) = 0.
-18/7, -2/3, 0
Let n be (0*3/6)/(8 - 4). Suppose -5*r**5 - 226*r**2 + 10*r**4 + 20*r**3 + 186*r**2 + n*r**4 = 0. What is r?
-2, 0, 2
Let k(s) = -10*s**2 + 12307*s - 3782278. Let h(y) = -5*y**2 + 6154*y - 1891141. Let n(q) = -7*h(q) + 4*k(q). Let n(c) = 0. What is c?
615
Let y = -1144 + 1303. Let x = 119 + -115. Factor 57/2*k**x - 1617/2*k + 105*k**2 + 1029/2 + y*k**3 + 3/2*k**5.
3*(k - 1)**2*(k + 7)**3/2
Find z, given that 521667/2 - 3/4*z**3 - 624*z**2 - 516663/4*z = 0.
-417, 2
Let -56*v - 11/3*v**2 + 1/3*v**3 + 624 = 0. Calculate v.
-13, 12
Let x = 3404 + -16647/5. Let f = x + -74. Factor -3/5*z**4 + 0 + 0*z - 3/5*z**5 + f*z**2 + 3/5*z**3.
-3*z**2*(z - 1)*(z + 1)**2/5
Suppose 20*k = 16*k + 16. Suppose 0 = -3*w - k*n + 3 + 18, 12 = w + 3*n. Factor 0*s**w - 5*s**3 + 2*s**2 + 2*s**2 - 3*s**3.
-4*s**2*(2*s - 1)
Let j(c) be the second derivative of -c**4/6 - 2*c**3 + 7*c**2 + 341*c. Find x such that j(x) = 0.
-7, 1
Let h be 47690/(-33383)*56/(-6). Suppose h + 82/3*l + 2*l**4 - 10/3*l**3 - 118/3*l**2 = 0. What is l?
-4, -1/3, 1, 5
Let c(x) be the first derivative of -40*x**3 + 0*x**5 - 3*x**5 + 74 + 5*x**2 - 80*x**2 - 25*x**4 - 25*x**3 - 59*x + 19*x. Find v such that c(v) = 0.
-4, -1, -2/3
Let n be 868/105 - (11/21 + (-24)/(-168)). Let u = -153/5 + 31. Factor -n*m**3 - 8/5 - 32/5*m - 14/5*m**4 - 10*m**2 - u*m**5.
-2*(m + 1)**3*(m + 2)**2/5
Let u(z) = 20*z - 395 - 403 + 718. Let k be u(4). Factor k*w**2 + 0*w + 2/11*w**3 - 4/11*w**4 + 2/11*w**5 + 0.
2*w**3*(w - 1)**2/11
Let j = 260 + -220. Let u be 1 - (-205)/j - 6. Determine n, given that 0 - 1/4*n - u*n**2 = 0.
-2, 0
Let p(l) be the first derivative of -l**7/126 - l**6/30 + l**4/9 - 7*l + 202. Let u(d) be the first derivative of p(d). Suppose u(q) = 0. What is q?
-2, 0, 1
Let a = -6415/6 - -1070. Let q(y) be the second derivative of -14*y + 0 - a*y**3 + 5/4*y**4 + 0*y**2. Find d, given that q(d) = 0.
0, 1/3
Let y(k) = -k**2 - k. Let g(t) be the first derivative of -5/3*t**3 - 40 + 0*t - 7/2*t**2. Let p(o) = -5*g(o) + 30*y(o). Factor p(q).
-5*q*(q - 1)
Let 235 + 30 - 14*n**3 - 21*n**3 - 520*n - 375*n**2 - 85 = 0. What is n?
-9, -2, 2/7
Let y(k) = 31*k**2 + 5284*k - 1201. Let o(r) = -16*r**2 - 2642*r + 598. Let z(m) = 5*o(m) + 2*y(m). Factor z(g).
-2*(g + 147)*(9*g - 2)
Suppose -79 = -3*x + 920. Let z = -331 + x. Factor -2/7*q**3 + 2*q**z - 12/7*q + 0.
-2*q*(q - 6)*(q - 1)/7
Let x(v) be the second derivative of 0 + 1/3*v**4 + 0*v**2 - 48*v + 1/15*v**6 + 0*v**3 - 19/30*v**5. Factor x(l).
2*l**2*(l - 6)*(3*l - 1)/3
Let x(u) be the first derivative of u**7/70 - 7*u**5/20 + 3*u**4/4 + 37*u**2 - 65. Let t(i) be the second derivative of x(i). Factor t(r).
3*r*(r - 2)*(r - 1)*(r + 3)
Solve -2/5*t**3 + 218/5*t + 4/5*t**2 - 44 = 0 for t.
-10, 1, 11
Let i be ((-4)/14)/(9984/336 + -31). Let i*x**2 + 0 - 58/9*x = 0. Calculate x.
0, 29
Let o(d) be the third derivative of 0*d**3 + 0*d - 1/1050*d**7 - 1/600*d**6 + 1/150*d**5 + 2*d**2 + 0*d**4