**2*(h - 3)*(h + 25)/3
Find f such that -64*f - 134*f**2 - 648 - 136*f**2 - 60*f**3 + 18*f**3 - 90*f - 548*f - 2*f**4 = 0.
-12, -3
Let g(p) be the first derivative of p**3 - 741*p**2 + 2476. Solve g(d) = 0.
0, 494
Let k(o) be the third derivative of 13*o**7/105 + 4*o**6/3 + 43*o**5/10 + 3*o**4/2 - 7*o**2 - 190*o. Let k(c) = 0. Calculate c.
-3, -2/13, 0
Suppose -16*f + 100 = 68. Determine a, given that -54 + 27*a**3 + 110*a - f*a - 3*a**4 - 87*a**2 + 9*a = 0.
1, 2, 3
Let y = 558 + -538. Let y*x - 86*x - 37*x - 405 - 5*x**2 + 13*x = 0. Calculate x.
-9
Let o(v) be the second derivative of -v**5/15 - v**4/6 - 71*v**2 + 80*v. Let y(j) be the first derivative of o(j). Suppose y(x) = 0. Calculate x.
-1, 0
Let c = 7703/76 - 1712/19. Factor 85/2*b + c*b**2 - 10.
5*(b + 4)*(9*b - 2)/4
Let n(y) be the third derivative of y**5/180 - 77*y**4/72 - 13*y**3/3 + 2*y**2 - 19. Determine l so that n(l) = 0.
-1, 78
Let d(w) = w + 14. Let o be d(-12). Suppose 17*z + z**o + 4*z**2 - 81*z - z**2 = 0. Calculate z.
0, 16
Factor 3*g**2 - 58 + 28 + 84 + 57*g.
3*(g + 1)*(g + 18)
Suppose -60*n**3 - 3*n**4 - 153*n**2 + 12*n + 189 - 84 + 99 = 0. Calculate n.
-17, -2, 1
Let b = -148301/377 + 11497/29. What is d in 36/13*d + 2/13*d**4 + 0 + 74/13*d**2 + b*d**3 = 0?
-18, -1, 0
Let o(n) = -2*n**2 - 26*n - 81. Let a be o(-6). Let i(h) be the first derivative of 13 + 3/2*h**2 - 13/12*h**a - h - 1/20*h**5 + 3/8*h**4. Factor i(k).
-(k - 2)**2*(k - 1)**2/4
Let w(n) be the third derivative of -n**7/105 - 13*n**6/60 + 67*n**5/30 - 23*n**4/12 - 34*n**3 - 34*n**2 + 9*n. Find u such that w(u) = 0.
-17, -1, 2, 3
Suppose 4444*o = 270 - 270. Factor 1/4*s**2 - 3*s + o.
s*(s - 12)/4
Let h(g) be the third derivative of g**6/30 + 4*g**5/15 - g**4/6 - 8*g**3/3 + 86*g**2. Find s such that h(s) = 0.
-4, -1, 1
Let -4/7*y - 3/7*y**2 - 1/7*y**4 + 4/7 + 4/7*y**3 = 0. What is y?
-1, 1, 2
Let o be (-1 + -17)*(3390/(-18) - 1). Determine x so that 8*x + o + 14*x**3 - 3408 - 32*x**2 = 0.
0, 2/7, 2
Suppose 35 = 5*x, 9*l - 5*x = -12 - 5. Let y(s) be the second derivative of 10*s**l + 27*s + 0 + 1/6*s**6 - 25/12*s**4 - 3/4*s**5 + 5/2*s**3. Factor y(m).
5*(m - 4)*(m - 1)*(m + 1)**2
Let i(w) be the first derivative of -1/18*w**4 - 32/27*w**3 + 100 - 28/9*w - 29/9*w**2. Factor i(j).
-2*(j + 1)**2*(j + 14)/9
Factor 12*x**4 + 345/4*x**3 - 18513*x - 5071/2*x**2 + 1/4*x**5 + 215622.
(x - 9)**2*(x + 22)**3/4
Let a(y) be the first derivative of y**5 + 355*y**4/2 + 700*y**3 + 1045*y**2 + 695*y + 2443. What is g in a(g) = 0?
-139, -1
Let x(j) be the third derivative of -j**6/840 - 1271*j**5/70 - 1615441*j**4/14 - 8212902044*j**3/21 + 3*j**2 + 132. Determine l so that x(l) = 0.
-2542
Factor 9267 - 18*b**3 + 35*b**2 + 196*b**2 - 828*b - 8727.
-3*(b - 6)**2*(6*b - 5)
Suppose 5*a - 2*u = 10*a + 5, -4*u = a + 1. Let j be (19 - 11) + a + -3. Factor 4*v**5 + 6*v**j - 12*v**3 + 0*v**5 - 6*v**4 - 8*v**2.
4*v**2*(v - 2)*(v + 1)**2
Suppose 0 + 527/2*l + 1/4*l**3 - 529/4*l**2 = 0. What is l?
0, 2, 527
Let -89/2*k - 1/2*k**3 + 23*k**2 + 22 = 0. Calculate k.
1, 44
Suppose 0 = -15*w - 3203 - 6262. Let h = -1892/3 - w. Factor -h - 64/3*r**3 + 4/3*r + 16/3*r**2.
-(4*r - 1)**2*(4*r + 1)/3
Let d(u) be the second derivative of -u**4/66 - 64*u**3/3 + 705*u**2/11 - 293*u + 1. Let d(s) = 0. What is s?
-705, 1
Factor -106*z**3 - 105*z**3 - 108*z**3 - 11449 - 102*z**3 - 215*z**2 + 420*z**3 - 11663*z.
-(z + 1)*(z + 107)**2
Let i(y) = 4*y + 44. Let a be i(-10). Let g(t) = -3*t**2 - 10*t + 13. Let c(h) = 2*h**2 + 4*h - 6. Let k(w) = a*g(w) + 7*c(w). Factor k(m).
2*(m - 5)*(m - 1)
Let h(u) be the first derivative of u**5/60 - u**4/12 - 4*u**3/3 + u**2 - 37*u - 78. Let l(t) be the second derivative of h(t). Let l(s) = 0. Calculate s.
-2, 4
Let a be 932/(-336)*20/35. Let j = 4/49 - a. Determine t so that -j*t**2 - 10/3*t + 5 = 0.
-3, 1
Suppose 4*v + v - 110 = 0. Let c be v/77 + (-435)/(-21). Factor -50 - c*n**2 + 4*n**5 + n**5 - 29*n**2 - 40*n**3 + 20*n**4 + 115*n.
5*(n - 1)**3*(n + 2)*(n + 5)
Suppose 1/7*b**3 + 19/7*b**2 - 7*b + 30/7 - 1/7*b**4 = 0. What is b?
-5, 1, 2, 3
Factor -224*d + 16*d**3 + 192 - 4*d**4 + 160/3*d**2 - 2/3*d**5.
-2*(d - 2)**3*(d + 6)**2/3
Let n(v) = -16*v**2 + 31850*v + 63361610. Let l(d) = 14*d**2 - 31849*d - 63361609. Let s(u) = -10*l(u) - 9*n(u). Solve s(x) = 0.
-3980
Suppose 35*k - 960 = 20. Suppose 0 = -15*w - 9*w + k*w. Let -8/3*d**5 - 22/3*d**3 - 26/3*d**4 - 4/3*d**2 + 0*d + w = 0. Calculate d.
-2, -1, -1/4, 0
Suppose 0 = 20*o - 1380 + 420. Suppose 44*g + 12 = o*g. Determine x, given that -10/3*x**g + 0*x**2 + 10/3*x + 5/3 - 5/3*x**4 = 0.
-1, 1
Let t(m) = 15*m**3 + 1832*m**2 - 1834*m - 26. Let y(z) = 5*z**3 + 611*z**2 - 612*z - 8. Let o(k) = -4*t(k) + 13*y(k). Solve o(v) = 0.
-124, 0, 1
Let w(b) be the first derivative of 14/3*b + 136 - 2/3*b**5 + 7/3*b**4 - 4/9*b**3 - 1/9*b**6 - 13/3*b**2. Solve w(f) = 0 for f.
-7, -1, 1
Let x be 128*3/((-108)/(-9)). Suppose 0 = -k + x - 30. Factor 0*o**3 - 2/7*o**k + 0*o + 1/7 + 1/7*o**4.
(o - 1)**2*(o + 1)**2/7
Let k(q) be the third derivative of q**6/720 - 427*q**5/360 + 44051*q**4/144 + 329623*q**3/36 - 3*q**2 + 44*q - 2. What is r in k(r) = 0?
-7, 217
Let c = -22963/364 - -3429/52. Determine z so that 18/7*z + c - 2/7*z**2 = 0.
-1, 10
Let 1/10*s**2 - 42/5*s + 0 = 0. What is s?
0, 84
Let j be 8/(-68) - (1480/136 + -5). Let s be 13/((-52)/9)*2/j. Factor 3/2*a**2 + 3/8*a**3 + 15/8*a + s.
3*(a + 1)**2*(a + 2)/8
Let x(u) be the second derivative of -u**4/4 + 240*u**3 - 1437*u**2/2 - 313*u + 1. Determine o, given that x(o) = 0.
1, 479
Let f = -1/170278 + 42571/255417. Factor 0 - j + f*j**2.
j*(j - 6)/6
Let c(f) be the second derivative of f**6/70 - 99*f**5/140 - f**4/28 + 33*f**3/14 - 6373*f. Factor c(u).
3*u*(u - 33)*(u - 1)*(u + 1)/7
Let y(z) be the third derivative of z**7/540 - 17*z**6/540 - z**5/36 - 11*z**4/4 - 4*z**2. Let r(c) be the second derivative of y(c). Factor r(q).
2*(q - 5)*(7*q + 1)/3
What is q in 398*q + 168*q + 15*q**3 - 149*q + 843*q - 60*q**4 + 940*q**2 + 5*q**5 = 0?
-2, 0, 7, 9
Let d(l) be the first derivative of l**5/5 + 95*l**4/4 + 2479*l**3/3 + 10485*l**2/2 + 8100*l + 3886. Find k, given that d(k) = 0.
-45, -4, -1
Let n(p) = 43*p**3 - 80*p**2 + 37*p - 2. Let f(b) = -128*b**3 + 241*b**2 - 110*b + 4. Let q = 134 - 132. Let z(j) = q*f(j) + 7*n(j). Factor z(w).
3*(w - 1)*(3*w - 1)*(5*w - 2)
Let a = -475 + 493. Let o be (2 + a/(-7))/((-140)/98). Determine n, given that 120*n + o*n**3 - 12*n**2 - 400 = 0.
10
Let y be (-4)/(-16)*-10*(2 - 4). Let d be 0/((y + -27)/(-11)). Find c, given that d + 2/9*c**3 + 4/9*c**2 + 0*c - 4/9*c**4 - 2/9*c**5 = 0.
-2, -1, 0, 1
Let d = 1009927 + -1009920. Find c such that -1/3*c**2 + 0 + d*c = 0.
0, 21
Suppose -y + 5*b = 22, -5*y + b = 4*b - 30. Determine t so that 117*t**2 - 728*t**4 + 1074*t**y - 532*t - 1014*t**5 - 26*t**2 + 249*t**2 + 45 + 19 + 148*t = 0.
-1, 4/13, 2/3
Let f(g) be the first derivative of -g**4/4 - 197*g**3/3 - 292*g**2 - 388*g + 1000. Factor f(c).
-(c + 1)*(c + 2)*(c + 194)
Let c(m) be the third derivative of 2*m**7/35 - m**6/8 - 79*m**5/20 + 5*m**4/2 + 1188*m**2. Factor c(i).
3*i*(i - 5)*(i + 4)*(4*i - 1)
Let q be 11/((-264)/224)*576/(-28). Let q + 3*g**3 - 216 - g**3 - 26*g = 0. What is g?
-3, -1, 4
Let z(g) be the third derivative of -g**8/294 - g**7/63 + 2*g**6/35 + 2*g**5/15 + 4*g**4/63 - 55*g**2 - 38*g. Solve z(q) = 0.
-4, -2/3, -1/4, 0, 2
Let s(p) be the second derivative of 5/84*p**7 + 1/4*p**6 - 9*p + 0*p**2 + 0*p**4 + 0*p**3 + 1/4*p**5 + 1. Suppose s(y) = 0. What is y?
-2, -1, 0
Let p(h) = 8*h**3 - 139*h**2 + 70*h - 313. Let f be p(17). Let k be 2/(4 + -2 - 1). Factor 25/2*t**k + 15/4*t**3 - f + 5*t.
5*(t + 2)**2*(3*t - 2)/4
Let h(s) be the third derivative of -s**6/540 - 83*s**5/270 + s**2 - 742. Determine u so that h(u) = 0.
-83, 0
Let p(l) = -12 + 4*l - 16 + 29. Let o be p(1). Suppose -223*y**2 + 2*y**3 - y**o + 223*y**2 + y**4 = 0. What is y?
-1, 0, 2
Let s(l) be the first derivative of -l**4/16 + 56*l**3 - 113565*l**2/8 + 112225*l/2 + 2317. Find n, given that s(n) = 0.
2, 335
Let r = 35092/157833 + -2/17537. Let 0*x + 0 - r*x**3 + 58/9*x**2 = 0. What is x?
0, 29
Let q = 3/7 - 2/7. Let f = 6017/42217 - -2/6031. Factor q*w - f*w**2 + 2/7.
-(w - 2)*(w + 1)/7
Let k(h) = 2*h**4 - 2*h**3 + 14*h**2 + 6*h. 