 - 25/6*c**3. Suppose j(u) = 0. Calculate u.
-1, -1/3
Let f(m) = 2*m**5 - 216*m**4 + 882*m**3 - 1094*m**2 + 416*m - 10. Let l(v) = -v**4 + 2*v + 1. Let b(y) = -2*f(y) - 20*l(y). Suppose b(p) = 0. What is p?
0, 1, 2, 109
Factor 242/7 + 124/7*v**2 + 1/7*v**3 + 365/7*v.
(v + 1)*(v + 2)*(v + 121)/7
Solve -6120/11 - 54/11*m**5 - 3006/11*m**4 - 12714/11*m**3 + 10896/11*m + 7254/11*m**2 = 0 for m.
-51, -5, -1, 2/3
Let y(a) = a**2 + a + 1. Let g(o) = -4*o**2 - 7*o - 8. Let m(b) = -g(b) - 5*y(b). Let f(s) = s**2 - 2*s - 3. Let l(k) = 3*f(k) + 2*m(k). Solve l(r) = 0.
-1, 3
Let r be (2 - 0)/(150/45*9). Let a(g) be the second derivative of 0 + 0*g**2 + r*g**3 + 1/15*g**4 - 6*g + 1/50*g**5. Factor a(n).
2*n*(n + 1)**2/5
Let y(g) = 2*g**2 + g + 1. Let d(h) = -h**3 - 13*h**2 - h - 5. Let t = 107 + -104. Let s(z) = t*d(z) + 15*y(z). Find x such that s(x) = 0.
-4, 0, 1
Let g(l) be the third derivative of -l**9/756 + l**7/105 - l**5/30 + 4*l**3 + 26*l**2. Let c(i) be the first derivative of g(i). Find z such that c(z) = 0.
-1, 0, 1
Let a(x) be the first derivative of x**4/30 - 634*x**3/45 - 1374. Factor a(v).
2*v**2*(v - 317)/15
Solve -34/11*o**3 + 2/11*o**4 + 64/11*o + 0 + 28/11*o**2 = 0.
-1, 0, 2, 16
Let u = 665 - 447. Find n, given that 170 + 13*n**2 - 442 - 233*n**2 - u - 875*n - 15*n**3 = 0.
-7, -2/3
Let r(q) be the first derivative of -2/3*q**6 + 0*q + 0*q**2 - 12/5*q**5 + 0*q**4 - 19 + 16/3*q**3. Factor r(u).
-4*u**2*(u - 1)*(u + 2)**2
Let m(p) = p**3 + 23*p**2 - 27*p - 45. Let d = -53 - -29. Let z be m(d). Let -32*k**2 - 64*k**3 + 113*k**5 + z*k**5 + 264*k**4 + 16*k**3 = 0. What is k?
-2, -2/7, 0, 2/5
Factor 93 + 110*d - 166*d - 5*d**3 + 305*d**2 + 613*d - 177*d**2 + 331*d**2.
-(d - 93)*(d + 1)*(5*d + 1)
What is n in 99/2*n + 1/2*n**5 + 9/4*n**4 + 15/2*n**2 - 20*n**3 + 81/4 = 0?
-9, -1, -1/2, 3
Suppose 7 = -113*i + 106*i. Let u be (-14)/70 + i*(-52)/60. Factor 0 + u*t**2 - 4*t.
2*t*(t - 6)/3
Let x(f) be the third derivative of 1/48*f**4 + 3*f**2 + 0*f**3 + 0*f - 1/80*f**5 + 6 + 1/480*f**6. Factor x(o).
o*(o - 2)*(o - 1)/4
Find i, given that 4/5*i**4 - 408/5*i + 408/5*i**3 - 4/5*i**2 + 0 = 0.
-102, -1, 0, 1
Suppose 3*m + 13 = 1. Let z be (1/m)/(22/(-352)). What is d in -16*d**2 - 9*d**3 + 0*d**4 - 4*d**z - 7*d**3 = 0?
-2, 0
Let o(g) = g**3 - 19*g**2 - 39*g - 19. Let n(k) = 2*k**3 - 18*k**2 - 38*k - 18. Let q = 75 + -80. Let w(j) = q*n(j) + 6*o(j). Factor w(x).
-4*(x + 1)*(x + 2)*(x + 3)
Solve -1055/2*o + 0 + 1/2*o**2 = 0.
0, 1055
Let o(j) be the first derivative of -4*j**3/3 + 33*j**2 - 32*j - 1344. Factor o(d).
-2*(d - 16)*(2*d - 1)
Determine x, given that 2804/11*x + 2/11*x**2 + 982802/11 = 0.
-701
Let m(y) be the first derivative of -5*y**6/6 + 12*y**5 - 85*y**4/4 - 190*y**3/3 + 210*y**2 - 200*y - 5542. Find n, given that m(n) = 0.
-2, 1, 2, 10
Factor -775*i - 7620 + 7630 + 171*i**2 + 214*i**2.
5*(i - 2)*(77*i - 1)
Let j be (-1764)/(-315) - 8/5. Let -16*b**3 - 52*b**3 - 18*b**j + 14*b**3 - 305*b**2 - 2*b**5 + 251*b**2 = 0. What is b?
-3, 0
Let r(y) be the third derivative of 1/180*y**5 - y + 1682/9*y**3 - 29*y**2 + 29/18*y**4 + 0. Determine x, given that r(x) = 0.
-58
Let -189*t**3 - 246*t**2 - 90*t**2 - 19*t**4 + 3*t**5 + 432 + 98*t + 10*t + t**4 = 0. What is t?
-3, -2, 1, 12
Let s be 65/(-13) + 33476/8820. Let c = -2/441 - s. Solve c*y - 2/5*y**2 - 2/5*y**4 + 4/5 - 6/5*y**3 = 0.
-2, -1, 1
Find z such that 0 + 8/7*z**5 + 1954/7*z**3 + 2216/7*z**2 - 344/7*z**4 + 576/7*z = 0.
-1/2, 0, 8, 36
Let y(v) be the third derivative of v**7/105 + 13*v**6/5 + 1296*v**5/5 + 8748*v**4 - 314928*v**3 + 20*v**2 + 111*v. Factor y(z).
2*(z - 6)*(z + 54)**3
Let m be ((-26)/455)/(-6 + 3324/555) - (0 + 5). Let m*x**2 + 800/7 - 80/7*x = 0. Calculate x.
20
Let v = -136289 - -136291. Suppose -3/7*w**4 + 9/7*w**3 + 0 - 72/7*w + 30/7*w**v = 0. Calculate w.
-3, 0, 2, 4
Suppose -719 - 305 = -32*w. Factor x**4 - w*x**3 - 197*x + 34*x + 35*x + 12*x**3 + 132*x**2 + 256 - 192*x.
(x - 8)**2*(x - 2)**2
Suppose -2*c - 190 = -4*x, -166 = -5*x - 2*c + 76. Solve 28*v**3 - 137 + 109*v**2 - 36*v**4 - 53*v**2 + 8*v**5 - x*v + 105 = 0 for v.
-1, -1/2, 2
Suppose -5*l - 23 = k, 0 = -2*k - l + 3*l + 14. Suppose 0 = -2*j + 3*f, -7*j + 1 = -8*j + k*f. Factor -3/4*x**2 + 1/4*x**4 + 1/2*x + 0*x**j + 0.
x*(x - 1)**2*(x + 2)/4
Let l be (112/(-24))/(-7)*246. What is h in 156*h**2 - 13*h**3 - 37*h**3 + 56 - 4*h**4 - l*h - 7*h**3 + 13*h**3 = 0?
-14, 1
Let u(z) = 2526*z - 2520. Let i be u(1). Let f(n) be the first derivative of -n**3 - 5/4*n**4 + 1/6*n**i + 3/5*n**5 + 2*n**2 + 0*n - 17. Factor f(o).
o*(o - 1)**2*(o + 1)*(o + 4)
Suppose r + 3 = x, 5*x = r - 3*r + 15. Let l = 2117762/4765005 + 2/529445. Let l*s + r + 2/9*s**2 = 0. What is s?
-2, 0
Let -24*b**2 - 87/2*b - 3/2*b**3 - 21 = 0. Calculate b.
-14, -1
Let q be (-66)/(-297) - (-2435)/(-10917). Let y = q - -38821/6065. What is o in -160/3*o**2 - 456/5*o**3 + 32/15 + y*o + 378*o**4 = 0?
-2/9, 2/7, 2/5
Suppose f + 4*v = 18, -54*f + 12 = -52*f + 2*v. Determine m so that -27 - 2*m**f + 43 - 57 + 96*m - 53 = 0.
1, 47
Let p(o) be the third derivative of 0 + 17/360*o**5 + 1/224*o**8 + 7/720*o**6 + 1/9*o**3 + 0*o - 1/60*o**7 - 39*o**2 - 1/9*o**4. Let p(c) = 0. Calculate c.
-1, 2/3, 1
Let i be (560/(-15))/7*(-256)/2048. Find a, given that 0 + 1/2*a**3 - i*a - 1/6*a**5 + 1/3*a**4 - 2/3*a**2 = 0.
-1, 0, 2
Suppose -c = -11*o + 7*o - 260, 0 = o - c + 62. Let k = o - -66. What is s in -2*s + 2 - 3*s**2 - 1 + k + 4*s**2 = 0?
1
Let w = 44353/36 - 1232. Let g(y) be the first derivative of -2 + w*y**6 - 2/15*y**5 + 1/6*y**4 + 1/3*y - 5/12*y**2 + 1/9*y**3. Factor g(x).
(x - 2)*(x - 1)**3*(x + 1)/6
Let s(q) = -1256*q - 22606. Let t be s(-18). Solve -1/2 + 3/2*m + 2*m**t = 0.
-1, 1/4
Suppose 5*x + 0*x - 25 = 0. Let o(d) = 3*d**3 + 23*d**2 + 29*d - 30. Let f(q) = -2*q**3 - 12*q**2 - 15*q + 14. Let t(u) = x*f(u) + 3*o(u). Solve t(z) = 0.
-2, 1, 10
What is w in -405/2*w + 0 - 651/2*w**3 + 1071/2*w**2 - 15/2*w**4 = 0?
-45, 0, 3/5, 1
Let a(h) be the third derivative of -17*h**6/120 + 113*h**5/120 - 5*h**4/8 - 3*h**3/4 + h**2 + 157*h. Solve a(s) = 0.
-3/17, 1/2, 3
Let l(b) be the first derivative of -5*b**6/3 - 22*b**5/5 + 19*b**4/2 + 10*b**3 - 18*b**2 + 1153. Suppose l(h) = 0. Calculate h.
-3, -6/5, 0, 1
Let z(g) be the second derivative of g**7/1890 - 11*g**6/135 + 242*g**5/45 + g**4/6 + 6*g**2 - 50*g. Let m(k) be the third derivative of z(k). Factor m(l).
4*(l - 22)**2/3
Factor -76/9*p**3 + 364*p + 1/9*p**4 + 454/3*p**2 - 507.
(p - 39)**2*(p - 1)*(p + 3)/9
Let a(c) = 2*c**3 + 16*c**2 - 7*c + 8. Let o be a(-7). Let r = 158 - o. Factor -2/9 + 2/9*i**r - 2/3*i**2 + 2/3*i.
2*(i - 1)**3/9
Let x(m) be the second derivative of 125*m**7/42 + 590*m**6/3 + 2469*m**5/4 - 745*m**4/6 - 3130*m**3/3 + 900*m**2 - 44*m - 6. Determine y, given that x(y) = 0.
-45, -2, -1, 2/5
Let u = -1 - -1. Suppose 30*p + 15 = -5*o + 25*p, -5*p = 4*o + 17. Factor 0 + u*n**o + 0*n - 2/3*n**4 - 4/3*n**3.
-2*n**3*(n + 2)/3
Factor -772/3*t**2 + 1/3*t**3 - 516*t + 0.
t*(t - 774)*(t + 2)/3
Let i(t) = t**3 - 11*t**2 + 9*t + 13. Let j be i(10). Let v(g) = g**3 - 2*g**2 + g - 9. Let a be v(j). Solve 0*n + n**3 + a*n**3 + 0*n - 8*n**2 = 0.
0, 2
Let s(j) be the first derivative of -j**3/5 - 15*j**2/2 + 918*j/5 - 5267. Factor s(d).
-3*(d - 9)*(d + 34)/5
Factor -358*u**2 + 105*u - 158 + 119*u**2 + 119*u**2 + 55*u + 118*u**2.
-2*(u - 79)*(u - 1)
Let c(g) = -g**3 + g**2 + 17*g - 1. Let s(p) = 10*p**3 - 198*p**2 - 298*p + 6. Let b(o) = 6*c(o) + s(o). Factor b(v).
4*v*(v - 49)*(v + 1)
Let p be 1/(-2 + 11/3)*5. Factor -2*y**p - 115*y**2 + 193*y**2 - 130*y**2.
-2*y**2*(y + 26)
Let h = -77 - -78. Let o(v) = -11*v**2 + 55*v + 6. Let b(z) = z**2 - 1. Let q(u) = h*o(u) + 6*b(u). Factor q(g).
-5*g*(g - 11)
Let s(l) be the third derivative of 3*l**7/70 - 4*l**6/5 + 53*l**5/10 - 16*l**4 + 51*l**3/2 - l**2 - 1. Determine y so that s(y) = 0.
1, 3, 17/3
Let f(n) be the first derivative of 0*n - 28/5*n**5 - 83 + 18*n**4 - 80/3*n**3 + 16*n**2 + 2/3*n**6. Factor f(w).
4*w*(w - 2)**3*(w - 1)
Let z(t) be the first derivative of 3*t**5/5 - 19*t**4/3 + 8*t**3/3 + 24*t**2 + 203*t - 17. Let d(h) be the first derivative of z(h). What is v in d(v) = 0?
-2/3, 1, 6
Let u(m) be the second derivative of -1/2*m**2 + 1/10*m**4 + 47*m + 1/25*m**5 - 