5 - 212. Let k = o + 152. Factor -12 + 100*f - 53 - 5*f**3 - k - 10*f**2.
-5*(f - 2)**2*(f + 6)
Let w(o) be the third derivative of -o**5/135 - 14*o**4/27 + 5334*o**2. Find u such that w(u) = 0.
-28, 0
Let -35*w**2 - 7*w + 16*w - 124*w = 0. Calculate w.
-23/7, 0
Let g(w) be the first derivative of -w**4 - 248*w**3/3 - 358*w**2 - 472*w + 4005. Factor g(p).
-4*(p + 1)*(p + 2)*(p + 59)
Let v(r) = 19*r - 168. Let a be v(9). Suppose 5*f + 2*o - 5*o = -a, -9*o + 9 = 0. Find l such that -4/5*l**3 + 4/5*l + 0*l**2 + f = 0.
-1, 0, 1
Let n be (-3)/2 - (-3591)/114. Suppose 6*s - 42 = -n. Let 0 - 7/12*z**s + 1/3*z = 0. Calculate z.
0, 4/7
Let s = 81282 + -81279. Let 2/21*j**s + 0 + 242/21*j - 44/21*j**2 = 0. Calculate j.
0, 11
Let m = 666295 - 666292. Factor 111*b**3 + 0 + 0*b + m*b**2 + 4107/4*b**4.
3*b**2*(37*b + 2)**2/4
Find c, given that 6/5*c**2 + 642/5*c + 252 = 0.
-105, -2
Let r(a) be the first derivative of -a**4/6 + 50*a**3/27 - 44*a**2/9 + 8*a/3 - 4920. Factor r(w).
-2*(w - 6)*(w - 2)*(3*w - 1)/9
Determine s so that 20/3 - 98/9*s + 2/9*s**3 + 38/9*s**2 - 2/9*s**4 = 0.
-5, 1, 2, 3
Let y be 5 + (-2656)/(-120) + 2/(-15). Let q be -2*y/(-72) + 1. Let 1/8*s**2 - q*s + 49/8 = 0. What is s?
7
Let -5*t**4 - 12420*t**2 - 8555*t + 463*t**3 - 32311*t + 57*t**3 - 17454*t = 0. Calculate t.
-4, 0, 54
Let q(a) = -22*a**2 + 92*a - 1220. Let b(r) = 2*r**2 + 16*r + 1. Let i(j) = 10*b(j) + q(j). Solve i(c) = 0.
5, 121
Determine m, given that -40172/9 - 140/3*m**2 - 2596/3*m - 4/9*m**3 = 0.
-83, -11
Let a(h) be the first derivative of 10*h**5/3 - 5*h**4/3 + h**3/3 + h**2 - 11*h - 13. Let b(j) be the second derivative of a(j). Factor b(x).
2*(10*x - 1)**2
Factor 0 + 1/6*i**3 - 19/6*i - 3*i**2.
i*(i - 19)*(i + 1)/6
Let r(x) = -7*x**3 - 249*x**2 - 957*x - 983. Let t(i) = i**3 + i**2 - 3*i - 1. Let c(n) = -2*r(n) - 18*t(n). What is s in c(s) = 0?
-2, 124
Let o = 756 + -7559/10. Let v(c) be the third derivative of 0 - c**4 - o*c**6 - 1/105*c**7 - 17*c**2 - 13/30*c**5 - 4/3*c**3 + 0*c. Solve v(x) = 0.
-2, -1
Determine z, given that -116/7 - 286/7*z + 8/7*z**4 - 254/7*z**3 + 648/7*z**2 = 0.
-1/4, 1, 2, 29
Let i(t) = 1396*t + 34903. Let q be i(-25). Factor -16/3*j - 2*j**q - 28/3*j**2 + 0.
-2*j*(j + 4)*(3*j + 2)/3
Let n(t) = -6*t + 5. Let h be n(1). Let o = 1 - h. Solve -5*a**3 + 5*a**3 - 5*a**o + 5*a**3 = 0 for a.
0, 1
Let p(t) = -2*t**3 + 30*t**2 - 36*t - 62. Let y(q) = 14*q**3 - 210*q**2 + 256*q + 436. Let b(x) = 22*p(x) + 3*y(x). Suppose b(j) = 0. Calculate j.
-1, 2, 14
Let y(t) be the second derivative of 0*t**2 - 1/20*t**5 + 5*t**3 + 24 + 13/12*t**4 - t. Factor y(p).
-p*(p - 15)*(p + 2)
Suppose -3*d - 8*w = -9*w + 3559, 3*w - 2361 = 2*d. Let x be 4/(-22) - 6*124/d. Determine r, given that 0 + x*r + 2/9*r**2 = 0.
-2, 0
Let u(a) = a**3 - 7*a**2 - a + 44. Let f be u(6). Find j such that -34379*j**2 + 34376*j**f - 1 + 54*j + 1 = 0.
0, 18
Let s(l) be the third derivative of -l**5/300 - 931*l**4/60 - 866761*l**3/30 - 1109*l**2 + l + 2. Find c, given that s(c) = 0.
-931
Let z = -83 - 32. Let f be (-1 - z)*(-3)/(-6). Determine k, given that -37*k**2 + 0*k**4 + 5*k**4 + 25*k**3 + f*k**2 = 0.
-4, -1, 0
Let u(r) be the second derivative of r**6/150 - r**5/25 - r**4/60 + 2*r**3/15 - 71*r + 30. Factor u(l).
l*(l - 4)*(l - 1)*(l + 1)/5
Suppose -28*b**3 + 23003*b + 2560 - 46368*b + 4*b**5 + 48*b**4 + 22213*b - 1432*b**2 = 0. What is b?
-8, -2, 1, 5
Let k be ((-2)/42)/((-480)/20160). Find a such that 1/6*a**3 - 7/6*a - 1 + 0*a**k = 0.
-2, -1, 3
Factor -p**4 + 11*p**3 - p**3 + 65*p - 70*p**3 + 1800 + 175*p - 442*p**2 - p**4.
-2*(p - 2)*(p + 2)*(p + 15)**2
Let j be (24/10)/(-4 - 1689/(-420)). Suppose -j*z = -32*z. What is h in 0 + 1/4*h**2 + 1/4*h**3 - 1/4*h**4 - 1/4*h**5 + z*h = 0?
-1, 0, 1
Factor 0*f - 3/2*f**5 + 27*f**2 + 12*f**4 + 0 - 63/2*f**3.
-3*f**2*(f - 3)**2*(f - 2)/2
Factor 6*t**3 - 198*t - 28/3*t**2 - 1/3*t**4 + 605/3.
-(t - 11)**2*(t - 1)*(t + 5)/3
Suppose -2*a + 4*x = -a + 4, -3*x = -3*a + 6. Suppose t - 65 = -a*j + 30, 2*t + 74 = 3*j. Factor j*d**3 + 32*d - 51*d - 52*d**2 + 67*d - 5*d**4 - 16 + d**4.
-4*(d - 2)**2*(d - 1)**2
Let c(i) be the first derivative of -5/4*i**4 - 15*i**2 - 77 + 25/3*i**3 + 0*i. Solve c(l) = 0 for l.
0, 2, 3
Let m(j) be the second derivative of j**4/114 - 784*j**3/57 + 153664*j**2/19 + 2414*j. Factor m(n).
2*(n - 392)**2/19
Let r(j) = -7*j**2 + j - 3. Let c(k) = 0*k**2 - 5*k**2 + 9*k - 7*k - 18 + 15. Let p(x) = -3*c(x) + 2*r(x). Factor p(z).
(z - 3)*(z - 1)
Let j(l) be the third derivative of -l**8/504 + l**7/15 + 18*l**2 - 8. Let j(i) = 0. Calculate i.
0, 21
Let f(u) = 129 - 47 - 20 + 2028*u**2 + 130 + 1232*u. Let q(h) = 676*h**2 + 411*h + 64. Let v = 897 + -892. Let d(x) = v*f(x) - 16*q(x). Factor d(r).
-4*(13*r + 4)**2
Let l(a) be the first derivative of -a**3/18 + 19*a**2/3 + 82*a + 2005. Solve l(p) = 0.
-6, 82
Let u(x) be the third derivative of -9*x**6/4 + 313*x**5/30 - 64*x**4/9 - 4*x**3/9 - 10*x**2 - 24*x. Let u(q) = 0. Calculate q.
-2/135, 1/3, 2
Let 21/4*x**2 - 51/4*x - 9 = 0. Calculate x.
-4/7, 3
Let y(t) be the first derivative of -35/2*t**2 + 5/3*t**3 - 51 - 150*t. What is p in y(p) = 0?
-3, 10
Let l = 5 - 2. Suppose -l*m = -2*o + m + 920, 3*o + 2*m - 1364 = 0. Factor 0 + 3*x - 2 - o*x**2 + 455*x**2.
-(x - 2)*(x - 1)
Let t = -90809/30 + 3027. Let n(u) be the second derivative of 1/6*u**3 - t*u**6 - u**2 + 1/4*u**4 + 0 - 1/20*u**5 + 35*u. Determine b so that n(b) = 0.
-2, -1, 1
Let s(t) be the second derivative of -t**6/30 + t**5/4 + 5*t**4/12 - 15*t**3/2 + 18*t**2 - 1166*t. Find o, given that s(o) = 0.
-3, 1, 3, 4
Factor 13395600 - 3483*l**2 - 6462*l - 858*l + 1749*l**2 + 1735*l**2.
(l - 3660)**2
Let o(d) be the first derivative of -2*d**3/33 - 7*d**2 - 444*d/11 - 1493. Factor o(q).
-2*(q + 3)*(q + 74)/11
Find d, given that 496 + 41*d**2 + 854*d**3 - 637*d**3 - 216*d**3 + 326*d = 0.
-31, -8, -2
Let o(d) = -2*d**3 + 17*d**2 - 11*d + 10. Let r be o(8). Let m be (-32)/(-56) + (-48)/r + -4. Factor -100/9*w**4 + 16*w**2 + m - 40/3*w**3 - 32/9*w.
-4*w*(w + 2)*(5*w - 2)**2/9
Let n(d) = -d**3 + 5*d**2 - 5*d + 1. Let t be n(2). Factor 8*m**2 - 2*m**2 + 14*m**t - 54*m + 57*m - 11*m**3.
3*m*(m + 1)**2
Factor -22*o**2 + 640*o + 4*o**2 + 3061*o**3 - 3086*o**3 - 13*o**2 - 800 - 59*o**2 + 5*o**4.
5*(o - 4)**2*(o - 2)*(o + 5)
Let g(n) be the third derivative of -n**7/42 - 11*n**6/8 - 31*n**5/12 + 55*n**4/8 + 80*n**3/3 + 245*n**2 - 11*n. Suppose g(d) = 0. What is d?
-32, -1, 1
What is t in 1/4*t**2 - 81/4*t - 63 = 0?
-3, 84
Let x(u) = u**2 + 4*u - 8. Let m be x(-6). Let r(k) = 2*k**3 + 7*k**2 - 17*k - 6. Let g be r(-5). Solve 0*j**g - 35*j**2 + m*j**3 - j**4 + 36*j**2 - 4*j**5 = 0.
-1, -1/4, 0, 1
Let f(z) be the first derivative of 65/2*z**2 - 247 + 5/6*z**6 + 0*z - 16*z**5 - 200/3*z**3 + 105/2*z**4. Factor f(v).
5*v*(v - 13)*(v - 1)**3
Let c be (-192)/(-66) + (-16)/(-55) + 20/(-100). Let m(g) be the first derivative of 5/8*g**4 - 3*g**3 - 11 + 7/4*g**2 + c*g. Factor m(q).
(q - 3)*(q - 1)*(5*q + 2)/2
Let s(v) be the first derivative of -4*v**3/3 - 8*v**2 + 20*v - 876. Factor s(f).
-4*(f - 1)*(f + 5)
Let r = -105217 - -841739/8. Determine h, given that -3/8*h**5 + 3/4*h**4 + 3/4*h**3 - r*h - 3/2*h**2 + 3/4 = 0.
-1, 1, 2
Let y(m) be the third derivative of m**5/210 + m**4/3 + 3*m**2 - 904. Suppose y(b) = 0. Calculate b.
-28, 0
Let b(d) be the third derivative of -d**8/1008 - d**7/315 + d**6/180 + d**5/45 - d**4/72 - d**3/9 + 17*d**2 - 40*d. Find x, given that b(x) = 0.
-2, -1, 1
Let w(s) = 54*s + 3728. Let r be w(-69). Let z(d) be the first derivative of 30 + 196*d + 28*d**r + 4/3*d**3. Let z(g) = 0. What is g?
-7
Let o = 1667157 - 1667155. Factor 0*x + 0 + 1/2*x**3 - 1/2*x**o - 1/8*x**4.
-x**2*(x - 2)**2/8
Determine m so that -389/2*m - 1/4*m**2 - 151321/4 = 0.
-389
Let d(i) = 5*i**4 + 1095*i**3 + 4225*i**2 + 3975*i + 720. Let m(x) = x**4 - x**2 - x + 3. Let g(o) = -d(o) - 30*m(o). Let g(a) = 0. Calculate a.
-27, -3, -1, -2/7
Solve 192/5*a**2 + 196/5 + 78*a - 2/5*a**3 = 0 for a.
-1, 98
Let c(d) be the second derivative of -d**6/75 + 19*d**4/30 - 2*d**3 + 7*d - 300. Solve c(k) = 0.
-5, 0, 2, 3
Let y(p) be the third derivative of p**5/180 + 83*p**4/72 - 85*p**3/9 - 7939*p**2. Let y(g) = 0. Calculate g.
-85, 2
Let d(b) be the first derivative of -b