s such that -s**3 + s**4 + b*s**3 - 208*s + 216*s + 14*s**2 = 0.
-4, -2, -1, 0
Factor -629*h + 2047 + 276 + 5*h**2 + 184*h + 1277.
5*(h - 80)*(h - 9)
Let z(p) = -p**2 - 23*p - 17. Let c be z(-20). Factor -65*a**3 - 7*a**3 + 19*a**4 - 2*a**5 - c*a**4.
-2*a**3*(a + 6)**2
Solve 10/3*o**2 + 295/3*o + 5/3*o**5 - 50 - 100*o**3 + 140/3*o**4 = 0 for o.
-30, -1, 1
Let x(m) = -2*m**2 - 20*m + 25. Suppose 4*o = 3*i + 33, -5*o = -2*i - 3*o - 22. Let f be x(i). Find t, given that -2/5*t + 0 - 4/5*t**2 - 2/5*t**f = 0.
-1, 0
Let v be (-17016)/(-1620) + -9 - 3/2. Let n(y) be the third derivative of -1/54*y**4 + 0*y + 0 + 24*y**2 + 8/27*y**3 - v*y**5. Factor n(q).
-2*(q - 2)*(q + 4)/9
Let p(m) be the third derivative of 0*m - 4*m**2 - 2/33*m**3 + 31/132*m**4 - 1/22*m**5 - 7. Factor p(n).
-2*(n - 2)*(15*n - 1)/11
Let i(j) be the second derivative of -j**5/4 + 1205*j**4/12 - 1585*j**3/2 + 3555*j**2/2 - 12751*j. Factor i(f).
-5*(f - 237)*(f - 3)*(f - 1)
Let s(h) be the first derivative of 16*h**3/9 + 22*h**2/3 + 28*h/3 + 171. Factor s(l).
4*(l + 1)*(4*l + 7)/3
Suppose 5*r + 3*w - 70 = -58, -3*r - w + 4 = 0. Let c(v) be the second derivative of r + 0*v**3 + 1/4*v**5 + 5/12*v**4 + 0*v**2 - 17*v. Factor c(n).
5*n**2*(n + 1)
Suppose -684*t - s = -688*t + 2, 5*t + 2*s + 4 = 0. Factor -3/4*j**2 + t - 9/4*j.
-3*j*(j + 3)/4
Let l(z) = 79*z**2 + 321*z + 674. Let w(c) = 137*c**2 + 643*c + 1347. Let i(s) = -7*l(s) + 4*w(s). Factor i(p).
-5*(p - 67)*(p + 2)
Factor -72/5*q + 0*q**3 - 38/5*q**2 - 7 + 1/5*q**4.
(q - 7)*(q + 1)**2*(q + 5)/5
Let n(x) = -x**3 - 27*x**2 + 16*x - 120. Let a be n(-28). Let -186*t**3 - 69 + 180*t**2 + a*t - 27 + 9*t**4 + 15*t**5 - 48*t**2 = 0. Calculate t.
-4, -1, 2/5, 2
Factor 1339*f**4 - 34 + 116*f + 1347*f**4 - 67*f**2 + 10*f**3 + 1338*f**4 - 26 - 4023*f**4.
(f - 2)**2*(f - 1)*(f + 15)
Let x be (27/30)/(8 + (-414)/45)*-4. Suppose -5*z + 26 + 9 = -5*y, 2*z + 16 = -4*y. Suppose -4/3 + 0*s**2 + z*s - 2/3*s**x = 0. Calculate s.
-2, 1
Factor 120/13*s + 38/13*s**3 + 0 + 128/13*s**2 + 2/13*s**4.
2*s*(s + 2)**2*(s + 15)/13
Determine r so that -162 - 111*r + 515*r + 2*r**3 - 278*r - 30*r**2 = 0.
3, 9
Let f be (-71)/(-71) - (-1*1 + 0). Solve -9*c**2 - 3*c**3 + 2*c**2 - 13*c**2 - 84 - 33*c**f - 132*c + 2*c**2 = 0.
-14, -2, -1
Solve -287*k + 1/2*k**2 + 82369/2 = 0 for k.
287
Let z(c) be the third derivative of -c**5/330 - 13*c**4/33 - 64*c**3/11 + 101*c**2 + 1. Let z(o) = 0. Calculate o.
-48, -4
Let r be 17 + 3*(21 + -28) + (-1 - (-194)/18). Factor 2/9*x**2 - r - 22/9*x.
2*(x - 13)*(x + 2)/9
Let m(d) = 2*d**2 - 18*d - 95. Let y be m(-4). Suppose a - y = -4*l, 4*l - 24 = -a + 5*a. Find h, given that 0 + 8/13*h + 10/13*h**2 + 2/13*h**l = 0.
-4, -1, 0
Let h(p) = 13*p**3 + 1012*p**2 - 1401*p - 1176. Let u(f) = 50*f**3 + 4060*f**2 - 5605*f - 4705. Let s(b) = 25*h(b) - 6*u(b). Factor s(i).
5*(i - 2)*(i + 39)*(5*i + 3)
Determine y so that 83/8*y - 77/8*y**2 - 3/4 = 0.
6/77, 1
Let g(j) be the third derivative of -j**7/42 + j**6/8 - j**5/6 - 118*j**2. What is f in g(f) = 0?
0, 1, 2
Let n = -193198 - -193200. Factor -1/4*d**3 - 45/4*d**n - 675/4*d - 3375/4.
-(d + 15)**3/4
Solve -69*q - 66*q + 183*q**2 - 1613*q**3 + 794*q**3 + q**4 + 770*q**3 = 0.
0, 1, 3, 45
Let n(s) be the second derivative of -59*s - 2/3*s**3 + 18*s**2 + 0 - 3*s**4 + 1/5*s**5. Find w such that n(w) = 0.
-1, 1, 9
Let t(a) be the third derivative of 3/40*a**4 - 11/6*a**3 + 0*a - 9*a**2 + 1/1800*a**6 + 0 - 1/100*a**5. Let z(i) be the first derivative of t(i). Factor z(w).
(w - 3)**2/5
Let h(b) be the third derivative of b**5/80 - 29*b**4/64 - 55*b**3/4 - 206*b**2. Suppose h(q) = 0. Calculate q.
-11/2, 20
Let w be -20*22/(-4)*(-15)/6. Let u = -275 - w. Suppose 0*h - 2/3*h**2 - 2*h**4 - 2*h**3 - 2/3*h**5 + u = 0. Calculate h.
-1, 0
Let m(j) = 5*j**5 - j**4 - 5*j**3 - j**2 + 8*j. Let p(h) = -7*h**5 + 6*h**3 + 5*h**2 - 9*h. Let q(x) = 3*m(x) + 2*p(x). Let q(n) = 0. What is n?
-1, 0, 2, 3
Let s(n) be the first derivative of 144*n + 80 + 12*n**4 - 24*n**2 - 140/3*n**3 - 4/5*n**5. Factor s(c).
-4*(c - 6)**2*(c - 1)*(c + 1)
Suppose -18 - 1392*j + 708*j + 86*j**2 - 14 = 0. Calculate j.
-2/43, 8
Let v be (5 + -4)/((-3)/(-6)). Let y(q) = 10*q**3 + 95*q**2 - 52*q - 32. Let a(f) = -3*f**2. Let i(t) = v*y(t) + 14*a(t). Factor i(p).
4*(p - 1)*(p + 8)*(5*p + 2)
Let o(x) be the first derivative of -x**6/80 + 11*x**5/40 - 5*x**4/8 - 11*x**2/2 - x + 120. Let l(k) be the second derivative of o(k). Factor l(z).
-3*z*(z - 10)*(z - 1)/2
Factor -467/5*w + 6 + 31/5*w**2.
(w - 15)*(31*w - 2)/5
Let c(h) be the second derivative of -h**6/10 - 15*h**5 - 197*h**4/4 - 49*h**3 + 2097*h. Factor c(b).
-3*b*(b + 1)**2*(b + 98)
Let u = -6039/74 + 32267/370. Factor -10 + 4/5*t**4 - 33/5*t**3 + 39*t + u*t**2.
(t - 5)**2*(t + 2)*(4*t - 1)/5
Let n(w) be the second derivative of -w**4/6 + 143*w**3/3 - 282*w**2 - 3290*w. Factor n(r).
-2*(r - 141)*(r - 2)
Let q(k) be the third derivative of k**6/40 + k**5/10 - 2*k**4 - 16*k**3 + 9*k**2 + 49. Factor q(v).
3*(v - 4)*(v + 2)*(v + 4)
Suppose -92 + 8 = -6*f. Let h be (1 - f/10)/(8/(-50)). Factor 15/2*o**2 - h*o + 0.
5*o*(3*o - 1)/2
Let b(x) = -5*x**2 + 12*x - 15. Let m = -221 + 215. Let d(n) = 12*n**2 - 23*n + 31. Let o(w) = m*d(w) - 15*b(w). Determine f, given that o(f) = 0.
1, 13
Let o be (-14)/(-16)*(-497 + 5). Let z = 435 + o. Factor 9*t**2 + 3/4*t**4 + 0 + z*t**3 + 6*t.
3*t*(t + 2)**3/4
Factor -1008 - 18*p**2 + 512*p - 46*p - 23*p**2 + 158*p - 11*p**2 - 4*p**3.
-4*(p - 6)*(p - 2)*(p + 21)
Find n, given that n**4 - 794 - 762 + 177*n**2 - 380*n - 30*n**3 + 1832 = 0.
2, 3, 23
Let i(k) = -60*k**2 - 3*k - 15. Let j be i(-5). Let p = 1502 + j. Find d such that -1/8*d**p - 1/4*d + 1 = 0.
-4, 2
Suppose -2*q = 2*p - 1634, 21*q - 2*p - 4036 = 16*q. Factor -111/2*f**3 + 351*f**2 + 324 + 3*f**4 - q*f.
3*(f - 6)**3*(2*f - 1)/2
Let b(t) be the first derivative of t**4 - 176*t**3 - 1638*t**2 - 4968*t + 2537. Determine k so that b(k) = 0.
-3, 138
Let y(l) be the first derivative of -l**6/39 + 4*l**5/65 - 4*l**3/39 + l**2/13 - 1332. Factor y(i).
-2*i*(i - 1)**3*(i + 1)/13
Factor m**2 + 49*m**2 + 7*m**2 + 26*m**2 + 812*m + 2156 + 4*m**3 + 17*m**2.
4*(m + 7)**2*(m + 11)
Let g be (73 - 7) + 19686/(-1351). Find d such that -4/7*d**2 - 8100/7 + g*d = 0.
45
Let y = 1 + 2. Suppose -64 = -4*k - 2*h, 4*k + 2 = 5*h + 66. Factor 1 - 28*m**2 - 4 - 9 - 209*m + 153*m + k*m**y.
4*(m - 3)*(m + 1)*(4*m + 1)
Let g(d) be the first derivative of d**2 - 186 - 1/12*d**3 - 15/4*d. Let g(m) = 0. What is m?
3, 5
Let f = -1033022 + 2066047/2. Suppose -1/2*n**4 + 0 + 1/2*n**2 - 3/2*n**3 + f*n = 0. What is n?
-3, -1, 0, 1
Let i(k) be the second derivative of -85*k**4/6 + 565*k**3/2 + 25*k**2 + 14*k - 215. Let i(h) = 0. What is h?
-1/34, 10
Suppose -5*w + 7*w - 5*i = -541, 0 = -3*w + 4*i - 822. Let k = 286 + w. Factor 22/3*a**2 - 2*a**4 + 2/3*a**5 + 8/3 - 2/3*a**3 - k*a.
2*(a - 2)*(a - 1)**3*(a + 2)/3
Factor 483*b**2 + 13377/2 + 1/2*b**4 + 30*b**3 + 3038*b.
(b + 7)**3*(b + 39)/2
Suppose -8 = 8*g - 12*g, g - 9 = l. Let i be (2/(-14) + (-50)/175)*l. Factor i*b**2 + 4 + 1/2*b**3 + 6*b.
(b + 2)**3/2
Let o(n) be the first derivative of 2*n**5/65 - n**4/26 - 50*n**3/39 + 25*n**2/13 + 1068. Factor o(q).
2*q*(q - 5)*(q - 1)*(q + 5)/13
Suppose 166 = -213*z + 82 + 428 + 508. Determine f, given that 8/7*f**3 + 2/7*f**z + 6/7*f**2 + 0 + 0*f = 0.
-3, -1, 0
Determine n, given that -485/2*n + 121/2 + 2*n**2 = 0.
1/4, 121
Let o be (0 - -5)/(3/6). Suppose 2*h + o = 4*h. Let -37*t**4 + 18*t**4 + h*t**3 + 14*t**4 = 0. Calculate t.
0, 1
Let r be -35 + -7 + 19044/230. Suppose 224/5*i + 28/5*i**3 - 48/5 - r*i**2 = 0. What is i?
2/7, 1, 6
Let l = -2541/19 + 208254/1463. Let c = l - 45/7. Suppose 18/11*x**4 - 12/11*x**2 + 24/11*x**3 - 6/11 - c*x = 0. What is x?
-1, -1/3, 1
Let q(b) be the third derivative of b**8/336 - 5*b**7/21 + 253*b**6/40 - 351*b**5/10 - 1701*b**4/2 - 2916*b**3 + 3*b**2 - 90*b. Determine r so that q(r) = 0.
-3, -1, 18
Let w(i) be the second derivative of 42/5*i**2 + 107/15*i**3 + 4 + i + 1/6*i**4. Factor w(h).
2*(h + 21)*(5*h + 2)/5
Let s(k) be the third derivative of -k**8/1008 + 17*k**7/315 - 77*k**6/180 + 67*k**5/45 - 205*k**4/72 + 29*k**3/9 + 1000*k**2. Factor s(r).
-(r - 29)*(r - 2)*(r - 1)**3/3
Let t be (0 - (-3 - -2))*(-3 + 0). Let 