 Solve -24*s**2 + 9*s**3 + x*s**4 + 9*s + 19*s - 17*s**3 + 4*s**3 - 8 = 0 for s.
-2, 1/2, 1
Let g(k) = k**3 + 2*k - 9. Let q be g(2). Suppose 0 = 3*d - 6*d + 12. Find a such that 2*a**q + 6*a**3 - 5*a**4 + 4*a**d + 5*a**4 = 0.
-2, 0
Factor -13*v**3 + 249*v**2 + 461*v**2 - 4137*v + 244*v + 1156 + 264*v**2 - 528*v**2.
-(v - 17)**2*(13*v - 4)
Let h(b) = 81*b**2 + 45*b + 118. Let x(j) = 35*j**2 + 23*j + 62. Let g(i) = 6*h(i) - 14*x(i). Factor g(z).
-4*(z + 5)*(z + 8)
Let g(o) be the third derivative of -79/84*o**4 + 27 + 1/30*o**5 + 22/21*o**3 + 0*o + 2*o**2. Let g(t) = 0. Calculate t.
2/7, 11
Let p be 150/(-525) + 1 + 12338/14. Let b be 1659/p + -1*4/24. Factor 0*a + 0 - b*a**3 + 2/7*a**4 + 18/7*a**2.
2*a**2*(a - 3)**2/7
Let l(n) = -10*n**2 - 30*n. Let z(m) = m**2 + 2*m. Let g = 100 - 82. Let v(c) = g*z(c) + 2*l(c). Factor v(x).
-2*x*(x + 12)
Let n be 22/(-4224)*12*-4. Let z(k) be the third derivative of 0*k + 0 + 1/20*k**5 - n*k**4 + 1/2*k**3 + 5*k**2. Suppose z(v) = 0. Calculate v.
1
Let h(b) = 5*b**3 - 13*b**2 + 92*b - 168. Let x(i) = -i**3 + i**2 - i. Let j(t) = h(t) + 6*x(t). Determine f, given that j(f) = 0.
-14, 3, 4
Factor -3*j**3 + 111*j - 336*j + 51*j**2 - 6*j**2 + 375.
-3*(j - 5)**3
What is d in -141*d**4 - 36*d**5 - 52*d**4 - 236*d**2 + 24291*d**3 - 24641*d**3 - 40*d = 0?
-2, -10/9, -1/4, 0
Let r(a) be the first derivative of 2*a**5/15 + 30*a**4 + 1800*a**3 - 2846. Factor r(u).
2*u**2*(u + 90)**2/3
Let q be 34518/5445 + (-34)/(-561). Determine a so that -38/5*a**2 - 6/5*a**3 - q + 76/5*a = 0.
-8, 2/3, 1
Let o(v) be the third derivative of -v**7/42 - 29*v**6/24 + 8*v**5 + 15*v**2 + 22*v + 1. Suppose o(n) = 0. What is n?
-32, 0, 3
Let k(b) = -28*b**3 - 120*b**2 + 364*b - 176. Let u(z) = 4*z**3 + 17*z**2 - 52*z + 25. Let v be (-75)/10*32/(-12). Let p(n) = v*u(n) + 3*k(n). Factor p(q).
-4*(q - 1)**2*(q + 7)
Let s(f) = f**3 - 7*f**2 - 6*f - 10. Let p be s(8). Find t such that -p + 1790*t**2 - 65*t + 5*t**3 - 1815*t**2 - 29 = 0.
-1, 7
Determine l so that -11*l**2 - 2416 + 71*l**2 - 2414*l - 25*l**2 - 33*l**2 = 0.
-1, 1208
Let z(f) be the second derivative of -f**4/6 - 1054*f**3/3 - 277729*f**2 + 2*f - 833. Solve z(o) = 0.
-527
Let q(o) be the first derivative of 9/2*o**2 + 1/5*o**3 + 42/5*o + 22. Determine z so that q(z) = 0.
-14, -1
Let j be 5 + -1 - (8/3 - (-4)/6). Let o(m) be the third derivative of 0*m + 1/30*m**5 - 1/12*m**4 + 0 - j*m**3 + 5*m**2. Suppose o(w) = 0. Calculate w.
-1, 2
Let f(c) = 100*c**2 - 1252*c - 34848. Let m(o) = -o**3 + 199*o**2 - 2509*o - 69696. Let t(y) = -9*f(y) + 4*m(y). Let t(x) = 0. What is x?
-22, 18
Let z(w) = -7*w**3 - 8*w**2 - 1013*w + 1052. Let m(l) = 2*l**3 - 2*l**2 - 2*l - 2. Let x(b) = 6*m(b) + z(b). Factor x(p).
5*(p - 16)*(p - 1)*(p + 13)
Let g(s) = 3*s**2 - 363*s + 1406. Let d be g(117). Factor 2/11*j**d + 2*j - 24/11.
2*(j - 1)*(j + 12)/11
Let n = -18 + 20. Suppose -4*v + 3*f + 13 = -0*v, -n*v + 4*f = -4. Factor -v*t - 14*t**3 + 10*t**3 + 16*t + 0*t - 8.
-4*(t - 1)**2*(t + 2)
Suppose -613/3*k + 1/3*k**3 - 1222/3 + 610/3*k**2 = 0. What is k?
-611, -1, 2
Let m(h) be the first derivative of -h**2 + 2/3*h**3 + 48 + 1/2*h**4 - 2*h. Determine a so that m(a) = 0.
-1, 1
Let c(i) be the first derivative of -12/5*i**5 + 21*i**4 - 61*i**3 + 13 - 27*i + 63*i**2. Find r such that c(r) = 0.
1/2, 3
Factor -423*m**3 + 2394*m**4 - 1277*m + 1275*m**2 - 1194*m**4 - 1201*m**4 + 160 + 266.
-(m - 1)**3*(m + 426)
Let p be (-7 - 0)/(42*15/(-180)). Factor -1/7*g**p - 31/7*g - 30/7.
-(g + 1)*(g + 30)/7
Let c(v) be the first derivative of -8/3*v**3 + 0*v**2 + 1/3*v**4 - 25 + 18*v. Let z(l) be the first derivative of c(l). Find x, given that z(x) = 0.
0, 4
Let o(v) be the third derivative of v**6/360 + 11*v**5/90 + 19*v**4/24 - v**2 + 259*v. Suppose o(h) = 0. Calculate h.
-19, -3, 0
Let a(f) be the first derivative of f**6/24 - 103*f**5/2 + 11845. Suppose a(v) = 0. Calculate v.
0, 1030
Let t(o) be the third derivative of -o**6/480 + o**4/24 + 134*o**2 - 4. Solve t(y) = 0 for y.
-2, 0, 2
Let u(a) be the third derivative of a**6/360 + a**5/8 - 2*a**4/3 - 7*a**3/3 + 23*a**2. Let d(v) be the first derivative of u(v). Factor d(r).
(r - 1)*(r + 16)
Suppose -10/9*r**4 - 2/9*r**5 + 10/9*r**2 + 0 + 2/9*r**3 + 0*r = 0. Calculate r.
-5, -1, 0, 1
Let l(c) be the third derivative of -c**5/480 - 35*c**4/192 - 125*c**3/24 + c**2 - 928. Determine n, given that l(n) = 0.
-25, -10
Factor -92*l + 30*l + 82 - 434*l**3 + 436*l**3 - 22.
2*(l - 5)*(l - 1)*(l + 6)
Solve -1/4*v**4 + 95/2*v + 33/2*v**3 - 63/4 - 48*v**2 = 0 for v.
1, 63
Solve -11*p**5 - 11*p**5 - 19*p**3 - 16*p**4 - 4*p**5 + 7*p**3 + 22*p**5 = 0.
-3, -1, 0
Let -25*z**2 + 77*z**2 - 20*z - 68*z**4 - 44*z**3 + 80*z**4 = 0. Calculate z.
0, 1, 5/3
Let d(j) be the first derivative of 2/45*j**6 - 22/45*j**3 - 4/5*j - 26 + 2/15*j**5 + 19/15*j**2 - 3/10*j**4. Suppose d(m) = 0. Calculate m.
-3, -2, 1/2, 1
Let h(t) be the first derivative of -2/15*t**3 - 78 - 22/5*t**2 - 42/5*t. Determine u, given that h(u) = 0.
-21, -1
Suppose -3*o - 9 = 0, -5*t - 3*o + o + 759 = 0. Factor -12*m**4 + 4*m**3 - t + 153 - 16*m**5.
-4*m**3*(m + 1)*(4*m - 1)
Let -1448*f + 4*f**2 + 937024 - 861*f - 1563*f = 0. What is f?
484
Suppose 4*s - 108 = -5*w + 26, -4*w - 3*s = -108. Suppose -3*k - w = -8*k. Factor 0*l**4 - 14*l**2 + 2*l**4 - 4*l**3 - 6*l + 4*l - k*l.
2*l*(l - 4)*(l + 1)**2
Let f(a) be the third derivative of a**7/1260 - a**6/144 - 13*a**5/30 - 47*a**4/9 - 272*a**3/9 - 18*a**2. Find g such that f(g) = 0.
-4, 17
Let j be (-2660)/(-22800)*40/35. Factor -j*m**3 + 2*m**2 + 26/15 - 18/5*m.
-2*(m - 13)*(m - 1)**2/15
Suppose 28*t - 128 - 320 = 0. Find o such that 15*o**3 + 5*o**3 - 7*o**5 + 11*o**5 + 8*o**4 + t*o**4 = 0.
-5, -1, 0
Factor 577*o + 9*o + 333*o + 75 + 261*o + 84*o**2 - 19.
4*(o + 14)*(21*o + 1)
Let v(i) = 34*i**3 - 586*i**2 - 28*i + 42. Let c(n) = 7*n**3 - 117*n**2 - 6*n + 9. Let f(x) = 14*c(x) - 3*v(x). Solve f(m) = 0.
0, 30
Let f(g) = 98 + 18*g**2 + 3086*g - 1679*g + 17*g**3 - 1540*g. Let l(a) = 11*a**3 + 12*a**2 - 88*a + 65. Let j(i) = 5*f(i) - 8*l(i). Factor j(w).
-3*(w - 2)*(w - 1)*(w + 5)
Let o(g) = -g + 10. Let h be o(-9). Suppose n + h = 3*q, 0*q + 4*n = q - 21. Factor 6*x**2 - 3*x**3 - 8 + q - 3 + 3*x + 0.
-3*(x - 2)*(x - 1)*(x + 1)
What is u in 14/5*u**3 + 0*u**2 + 0 - 8/5*u - 6/5*u**4 = 0?
-2/3, 0, 1, 2
Let k(r) be the second derivative of -r**5/5 + 40*r**4/3 + 736*r**3/3 + 1536*r**2 + 1760*r. Suppose k(a) = 0. Calculate a.
-4, 48
Let a = -11/6673 + 13401/33365. Suppose a*g**3 + 2 + 22/5*g + 14/5*g**2 = 0. What is g?
-5, -1
Factor -18*a**2 + 15*a**2 + 54*a**3 + 46*a**2 - 42*a - 3*a + a**4 - 44 - 9*a**3.
(a - 1)*(a + 1)**2*(a + 44)
Factor -11/2*w**3 + 1/2*w**4 + 35/2*w**2 + 0 - 25/2*w.
w*(w - 5)**2*(w - 1)/2
Factor 4*s**2 - 1/3*s**3 - 14 + 31/3*s.
-(s - 14)*(s - 1)*(s + 3)/3
Factor -38/5*c**3 - 139/5*c**2 - 102/5*c + 0 - 1/5*c**4.
-c*(c + 1)*(c + 3)*(c + 34)/5
Let y be -306 + 320 - 180/13. Find r such that 46/13*r + 20/13 + y*r**3 - 2/13*r**4 + 30/13*r**2 = 0.
-2, -1, 5
Solve 770*v - 5*v**2 - 646*v - 7*v**2 - 8*v**2 + 4*v**2 + 32 = 0 for v.
-1/4, 8
Let g = -653 + 965. Let c = g + -310. Factor -1/4 - 1/4*t**4 + t + t**3 - 3/2*t**c.
-(t - 1)**4/4
Let c(l) = -9*l**4 + 51*l**3 - 177*l**2 - 159*l + 696. Let b(o) = 55*o**4 - 306*o**3 + 1067*o**2 + 952*o - 4175. Let w(g) = 6*b(g) + 37*c(g). Factor w(i).
-3*(i - 13)*(i - 3)**2*(i + 2)
Let l(t) be the first derivative of -2*t**3/3 + 252*t**2 - 31752*t - 779. Factor l(j).
-2*(j - 126)**2
Let a(c) = -c + 1. Suppose 6*r - 9*r = 3. Let w be a(r). Solve -52*p**2 + 10*p - 2*p**3 + 57*p**w - 3*p**3 = 0 for p.
-1, 0, 2
Let c(m) be the second derivative of -m**5/4 + 235*m**4/12 - 2375*m**3/6 - 9375*m**2/2 - 3102*m. Factor c(u).
-5*(u - 25)**2*(u + 3)
Let p = 113747/123 + -28677/41. Suppose -572/3*a - 4/3*a**3 + p - 100/3*a**2 = 0. Calculate a.
-13, 1
Let n(z) = -z**4 - z**3 - z**2 + z + 1. Let p(l) = -13*l**4 - 109*l**3 - 431*l**2 - 567*l - 237. Let f(h) = -10*n(h) + 2*p(h). Factor f(g).
-4*(g + 1)**2*(2*g + 11)**2
Suppose -14086*x = -14030*x. Factor -2/7*p**4 + 2/7*p**2 + 4/7*p**3 - 4/7*p + x.
-2*p*(p - 2)*(p - 1)*(p + 1)/7
Factor 164*m**2 + 3296/5 + 3292/5*m - 1/5*m**3.
-(m - 824)*(m + 2)**2/5
Let 144/13 + 134/13*o**3 + 532/13*o**2 + 10/13*o**4 + 552/13*o 