399384*w**3 + 3154*w**2. Solve c(t) = 0 for t.
-774
Let w(t) = 9*t - 52. Let a be w(8). Suppose a*n - 4*h = 15*n + 4, -4*n + 2*h = -8. Solve 0 - 6*s**n + 15/2*s**3 - 3*s + 21/2*s**2 = 0 for s.
-1, 0, 1/4, 2
Let m(y) be the first derivative of -43*y**3/3 - 45*y**2/2 + 71*y - 38. Let i(s) = 15*s**2 + 15*s - 24. Let b(r) = 17*i(r) + 6*m(r). Factor b(d).
-3*(d - 1)*(d + 6)
Let u(n) = -7*n**3 + 18*n**2 - 54*n + 59. Let h = -118 - -113. Let a(t) = 4*t**3 - 9*t**2 + 27*t - 30. Let l(o) = h*a(o) - 3*u(o). Factor l(r).
(r - 3)**3
Let u = 543609 - 1630799/3. Solve -64/3*j**4 - 60*j**3 + 32/3*j - 56/3*j**2 + 0 + u*j**5 = 0 for j.
-1, 0, 2/7, 4
Let -50*m**2 - 1979*m + 38*m**2 + 1944*m - m**3 = 0. Calculate m.
-7, -5, 0
Let t(b) = -13*b + 15 - 7 - 18 + 2*b**2. Let o(x) = -10*x**2 + 64*x + 51. Let p(l) = 4*o(l) + 22*t(l). Factor p(s).
2*(s - 8)*(2*s + 1)
Let i(g) be the third derivative of g**6/360 - g**5/60 + g**4/24 - 2*g**3/3 + 65*g**2. Let h(r) be the first derivative of i(r). Suppose h(s) = 0. Calculate s.
1
Let z(u) be the first derivative of 2/9*u**2 + 2/27*u**6 + 42 + 40/27*u**3 - 4/9*u**5 - 2/9*u**4 - 20/9*u. Find o such that z(o) = 0.
-1, 1, 5
Let j(r) = -2*r. Suppose 0 = -4*t - 8 - 0. Let h be j(t). Find a such that 0*a + 6 - a**h - 3*a + 3*a**3 + 10*a**4 - 15*a**2 = 0.
-1, 2/3, 1
Let w = 11 - 6. Suppose -4*x - 92 = -w*c, c - 5*c - x + 61 = 0. Let 48*d**2 - 100*d**2 + c + 54*d**2 - 18*d = 0. Calculate d.
1, 8
Suppose 5150/3 + 5/3*n**2 + 2585/3*n = 0. Calculate n.
-515, -2
Factor -3/8*w**3 - 141/8*w**2 + 3/2*w + 141/2.
-3*(w - 2)*(w + 2)*(w + 47)/8
Let u = 49 - 47. Factor 5*h**3 + 20 + 253*h**2 - 516*h**2 - 35*h + 273*h**u.
5*(h - 1)**2*(h + 4)
Let r(k) be the second derivative of 0*k**4 - 1/130*k**5 + 0 + 130*k + 1/3*k**3 + 12/13*k**2. Determine j so that r(j) = 0.
-3, -1, 4
Let t(j) be the first derivative of j**6/21 - 22*j**5/35 + 17*j**4/7 + 16*j**3/21 - 160*j**2/7 + 256*j/7 - 248. Solve t(d) = 0 for d.
-2, 1, 4
Let i(z) be the first derivative of -z**4/2 + 167*z**3/6 + 21*z**2/2 - 479. Factor i(o).
-o*(o - 42)*(4*o + 1)/2
Factor -16*x**2 + 0 - 28/3*x**3 - 20/3*x.
-4*x*(x + 1)*(7*x + 5)/3
Let b = -45 + 47. Let t(s) = s**4 - s**3 + 2*s. Let q(i) = -2*i**4 - i**2 - 3*i. Let f(l) = b*q(l) + 3*t(l). Solve f(o) = 0 for o.
-2, -1, 0
Let i = 1367 - 1292. Suppose -93 = i*u - 106*u. Find w, given that 11/2*w - 3*w**2 + 1/2*w**u - 3 = 0.
1, 2, 3
Let t = -38563/20 - -7919/4. Let f = t + -1027/20. Suppose -f*x**4 + 1/4*x**3 + 0 + 1/4*x**2 - 1/4*x = 0. What is x?
-1, 0, 1
Let k(j) be the second derivative of -j**4/66 + 146*j**3/33 + 147*j**2/11 + 22*j - 122. Factor k(o).
-2*(o - 147)*(o + 1)/11
Suppose -4*y - 2*o - 3*o - 18 = 0, -3*y + 27 = -3*o. Let x(r) be the first derivative of 0*r**2 + 0*r - 2/3*r**3 + y - 1/4*r**4. Suppose x(k) = 0. Calculate k.
-2, 0
Suppose -5*j - 3*i + 38 = -5*i, 44 = 5*j + 4*i. Suppose -j*m + 1391 = -3089. Factor 533*w**4 + 27*w**2 + 7*w - m*w**4 - w - 6*w**3.
-3*w*(w - 1)*(w + 1)*(9*w + 2)
Factor -40/9 + 1/9*a**3 + 3*a + 4/3*a**2.
(a - 1)*(a + 5)*(a + 8)/9
Let n(r) = -r**4 + r**2 - 2*r + 1. Let q(j) = 192*j**5 + 45*j**4 - 117*j**3 + 30*j**2 - 6*j + 3. Suppose -24 + 18 = -2*m. Let a(g) = m*n(g) - q(g). Factor a(z).
-3*z**2*(z + 1)*(8*z - 3)**2
Factor 2/7*a**2 + 1612/7*a + 324818/7.
2*(a + 403)**2/7
Let u = 231 - 229. Suppose -53 + 53*h + 128 - 47 + 7*h**u = 0. Calculate h.
-7, -4/7
Factor 104872*x**2 - 15*x**3 + 80*x - 680 - 104792*x**2 + 40.
-5*(x - 4)**2*(3*x + 8)
Let f = -153/332 - -1289/996. Factor 0*q + 0 + 0*q**3 + 5/6*q**4 - f*q**2.
5*q**2*(q - 1)*(q + 1)/6
Find a such that 128/3*a + 2/3*a**2 - 984 = 0.
-82, 18
Let g(p) be the third derivative of -p**5/72 - 355*p**4/144 - 275*p**3/6 + 5541*p**2. Factor g(u).
-5*(u + 5)*(u + 66)/6
Let k(d) be the first derivative of -1/9*d**6 - 4/3*d**4 - 8/9*d**3 + 0*d + 97 + 0*d**2 - 2/3*d**5. Factor k(w).
-2*w**2*(w + 1)*(w + 2)**2/3
Suppose 2*h = 0, -21 - 60 = -r - 4*h. Suppose 121*v - 160 = r*v. Determine o so that 8/7*o + 0*o**2 - 6/7*o**3 + 0 + 2/7*o**v = 0.
-1, 0, 2
Let b(n) = -2*n - 6. Let l be b(-5). Let g = -3/22429 + 134595/157003. Factor 2/7*t**2 - 6/7*t**3 - 4/7 + 2/7*t**l + g*t.
2*(t - 2)*(t - 1)**2*(t + 1)/7
Let d be 6 - (-27 - -22 - 3*-2). Let q(r) be the first derivative of 8/21*r**3 - 2/35*r**d - 4/7*r**2 + 1/14*r**4 + 0*r - 6. Find x such that q(x) = 0.
-2, 0, 1, 2
Let d(c) be the first derivative of -7*c**4/36 - 272*c**3/9 - 1334*c**2 - 13456*c/9 - 1196. Suppose d(g) = 0. What is g?
-58, -4/7
Let a = 27682/3 + -9307. Let l = -79 - a. Let -8/3 - 8/3*v - l*v**2 = 0. Calculate v.
-2
Let o(t) be the third derivative of t**5/180 + 547*t**4/72 + 91*t**3/3 - 2*t**2 + 37*t - 1. Factor o(k).
(k + 1)*(k + 546)/3
Let x be 506/(-165)*(-6)/(-8)*2. Let g = 27/5 + x. What is r in -g*r**2 + 36/5 + 0*r = 0?
-3, 3
Let 0 - 51/7*u**2 + 3/7*u**4 - 90/7*u + 6*u**3 = 0. Calculate u.
-15, -1, 0, 2
Find d such that -177265*d**4 - 112 + 16*d - 20*d**3 + 58*d**2 + 177237*d**4 + 82*d**2 + 4*d**5 = 0.
-2, -1, 1, 2, 7
Let u = -2364494/17 - -139088. Let x be ((-16)/4)/(4/(-3)). Factor -14/17*k**2 + 12/17*k + 0 + u*k**x.
2*k*(k - 6)*(k - 1)/17
Let q = 10590 + -10590. Suppose -k**4 - 4/5*k**3 + 0*k + 0*k**2 + q - 1/5*k**5 = 0. What is k?
-4, -1, 0
Suppose -5*x - 2*r + 41806 = 41827, -57 = 5*x + 4*r. Determine o, given that -24/7*o**x - 57/7*o**2 - 9/7 - 6*o = 0.
-1, -3/8
Suppose -2*j + 2*a = -5*j, 4*j - 4*a + 20 = 0. Let b(w) = 5*w**3 + 19*w**2 + 29*w + 12. Let i(u) = u**3 + u**2 + u. Let f(t) = j*b(t) + 6*i(t). Factor f(n).
-4*(n + 1)**2*(n + 6)
Suppose 0 - 696/7*c + 2/7*c**3 + 34/7*c**2 = 0. Calculate c.
-29, 0, 12
Let f(l) be the third derivative of -l**9/241920 - l**8/13440 - l**7/4032 - 67*l**5/30 - 28*l**2 - 1. Let b(v) be the third derivative of f(v). Factor b(d).
-d*(d + 1)*(d + 5)/4
Let o(c) be the second derivative of 0*c**2 + 1/3*c**4 - 92*c + 40/3*c**3 + 0. Factor o(y).
4*y*(y + 20)
Factor -50*k + 2*k**2 - 61844 - 6*k - k**2 + 61787.
(k - 57)*(k + 1)
Let c(a) be the third derivative of -a**8/252 - a**7/3 - 143*a**6/20 + 297*a**5/10 + 729*a**4/4 - 48*a**2 - 2*a + 1. Find h such that c(h) = 0.
-27, -3/2, 0, 3
Suppose 16 = 7*t - 19. Suppose -t*l = g - 13, -l + 5 = -g + 2*g. Let -5*v + v**3 - 6*v + 18 + 8*v - 4*v**l = 0. Calculate v.
-2, 3
Let r(n) be the first derivative of -22*n**6/3 + 376*n**5/5 + 183*n**4 - 856*n**3/3 - 344*n**2 + 480*n - 9576. Find u such that r(u) = 0.
-2, -1, 6/11, 1, 10
Let w(x) = -2*x**2 + 6 + x**2 - 8*x - x + 5*x. Let u be (1 + 0)/(3/(-39)). Let q(b) = -3*b**2 - 9*b + 13. Let g(o) = u*w(o) + 6*q(o). What is t in g(t) = 0?
-2/5, 0
Let m = -366121 + 366123. What is r in -64/7*r + 0 - 2/7*r**m = 0?
-32, 0
Let a(c) be the third derivative of -c**5/120 + 11*c**4/6 - 484*c**3/3 - 2*c**2 - 14*c. Suppose a(x) = 0. What is x?
44
Let p(m) = 4*m**2 + 1264*m + 13422. Let c be p(-305). What is i in 0 + 5/2*i**3 - 1/2*i**4 + 1/2*i**c - 5/2*i = 0?
-1, 0, 1, 5
Let i(c) be the third derivative of c**8/1008 + 2*c**7/63 + 41*c**6/180 + 3*c**5/5 + 5*c**4/8 - 4626*c**2. Let i(g) = 0. Calculate g.
-15, -3, -1, 0
Let o(m) be the second derivative of -m**7/2520 - 11*m**6/120 - 363*m**5/40 - 19*m**4/12 - 254*m. Let r(l) be the third derivative of o(l). Factor r(d).
-(d + 33)**2
Let s(g) be the third derivative of -1475/2*g**4 + 1859/12*g**5 + 1/84*g**7 + 0*g + 78*g**2 + 0 - 5/2*g**6 + 17405/12*g**3. Solve s(n) = 0 for n.
1, 59
Factor -165*s + 171*s - 2*s**3 + 0*s**3 + 0*s**3 - 4.
-2*(s - 1)**2*(s + 2)
Solve -6*b**2 + 23/2*b + 1/6*b**3 - 17/3 = 0.
1, 34
Let y(w) be the second derivative of -w**7/21 - 12*w**6/5 + 4*w**5 + 55*w**4/3 - 13*w**3 - 74*w**2 - 1445*w + 3. Solve y(g) = 0 for g.
-37, -1, 1, 2
Let z = 65 + -62. Suppose -z*v + 4 + 2 = -2*r, -3*r - 11 = -5*v. Factor 15*g**r + 2*g + g**4 - 14*g**3 - 6*g - 4*g**2.
g*(g - 2)*(g + 1)*(g + 2)
Let z(n) = n**2 - 17*n - 24. Let s be z(19). Suppose -s*p = -32*p + 72. Factor -18/7*b - 12/7*b**p - 4*b**3 - 2/7*b**5 - 4/7 - 32/7*b**2.
-2*(b + 1)**4*(b + 2)/7
Let o be (2 - 7/2)/((-5)/20). Suppose 6 = 3*m - 2*p, 4*p = m - 4*m + o. Factor 6*i**2 + 3 + 12*i**m + 8*i**4 - 12*i**3 + 0 - 5*i**4 - 12*i.
3*(i - 1)**4
Let g(u) be the first derivative of u**5 + 1775*u**4 + 1260250*u**3 + 447388750*u**2 + 79411503125*u + 871. Factor g(c).
5*(c + 355)**4
Let 