 so that r(u) = 0.
1, 421
Let v(n) = -39*n**3 + 129*n**2 - 27*n. Let r be 80/(-32) + (-1)/(-2). Let u(m) = -3*m**3 + 10*m**2 - 2*m. Let p(w) = r*v(w) + 27*u(w). Solve p(y) = 0.
0, 4
Factor 12288 - 192*c + 3/4*c**2.
3*(c - 128)**2/4
Suppose 42 = 21*x - 14*x. Suppose -2*y = 0, x - 4 = d - y. Factor 5/2*a**3 + 0*a**d + 0 - 5/2*a.
5*a*(a - 1)*(a + 1)/2
Let a(h) = -115*h + 1958. Let t be a(17). Factor 200*g**4 + 13271040 + 9600*g**t + 5/3*g**5 + 230400*g**2 + 2764800*g.
5*(g + 24)**5/3
Let g(y) be the third derivative of -7*y**6/120 + 188*y**5/15 + 145*y**4/8 - 54*y**3 - 5891*y**2. Factor g(l).
-(l - 108)*(l + 1)*(7*l - 3)
Let n be (21/(-28))/((-35)/(-4) + -8 - 1). Let 4/5*u**4 + 0 - u**n + 1/5*u**2 + 0*u = 0. Calculate u.
0, 1/4, 1
Let r(c) be the first derivative of -25*c**6/3 - 20*c**5 + 81*c**4/2 + 236*c**3/3 - 100*c**2 - 48*c + 1886. What is w in r(w) = 0?
-2, -1/5, 1, 6/5
Suppose -23337 - 123161 - 4*s**2 + 2888*s - 374786 = 0. What is s?
361
Suppose -4*i - s = i - 2489, -4*s = 3*i - 1507. Let n = -269 + i. Factor -615*x**2 - 12 + n*x - 833*x**2 + 365*x**2.
-3*(19*x - 2)**2
Suppose w = 5*c + 437 - 439, -3*c = -w + 2. Factor 5/2*g + 0 - 1/2*g**3 + 2*g**c.
-g*(g - 5)*(g + 1)/2
Determine s so that 413*s**3 + 3*s**4 - 446*s**2 + 78660*s - 44*s**3 + 321*s**3 + 40805*s**2 + 38988 = 0.
-114, -1
Suppose 37/3*g**2 - 30*g + g**4 + 17*g**3 - 1/3*g**5 + 0 = 0. What is g?
-5, -2, 0, 1, 9
Let x(v) be the first derivative of v**3/3 + 61*v**2/2 + 690*v - 1097. Solve x(s) = 0.
-46, -15
Let t(k) be the third derivative of 0 + 13/24*k**5 + 137*k**2 + 0*k**4 + 0*k**3 - 1/48*k**6 + 0*k. Determine n so that t(n) = 0.
0, 13
Factor 5*t**2 + 368 + 0*t - 154*t + 1176*t + 0*t**2 + 40.
(t + 204)*(5*t + 2)
Let y be 0*-4*((-9)/(-8) - 1). Let p(k) be the second derivative of y - 7/25*k**5 + 0*k**3 + 0*k**2 - 8/75*k**6 + 2/15*k**4 + 6*k. Find s such that p(s) = 0.
-2, 0, 1/4
Let v(p) be the first derivative of 0*p**3 - 3/70*p**5 + 13 + 0*p**2 + 8*p - 1/28*p**4 - 1/70*p**6. Let j(a) be the first derivative of v(a). Factor j(x).
-3*x**2*(x + 1)**2/7
Let k(a) = 3*a**2 + 20*a - 23. Let q be k(1). Let p(t) be the third derivative of 0 + 4*t**3 + 1/80*t**6 - 7/40*t**5 + q*t + 1/2*t**4 - 28*t**2. Factor p(z).
3*(z - 4)**2*(z + 1)/2
Let k = -56 - -60. Suppose f = 5*x - 17, -2*f = -k*x + 19 - 3. What is a in -3*a + 3 + x*a**2 + 3 - a - 5*a = 0?
1, 2
Let a(i) = i**3 + i**2 + 5*i + 9. Let h be a(0). Factor -2*y**3 + 5*y + 8*y**2 - h*y - 3*y + y.
-2*y*(y - 3)*(y - 1)
Let x = 88477/36880 - -7/7376. Factor 16/5*b**3 - x*b**2 - 6/5*b**4 + 2/5 + 0*b.
-2*(b - 1)**3*(3*b + 1)/5
Solve 759/2*l**3 - 1248*l - 768 - 147*l**2 + 48*l**4 + 3/2*l**5 = 0.
-16, -1, 2
Let h(l) be the first derivative of l**5 - 165*l**4/4 + 240*l**3 - 280*l**2 - 2202. Determine r, given that h(r) = 0.
0, 1, 4, 28
Let q(c) = 474*c - 27492. Let f be q(58). Determine j so that f + 2/3*j**2 + 4/3*j = 0.
-2, 0
Let k(l) = l**3 - l**2 + 3*l - 1. Let c = -399 - -403. Let u(p) = -100*p**4 + 58*p**3 + p**2 + 5*p - 3. Let f(a) = c*u(a) - 12*k(a). Factor f(w).
-4*w*(4*w + 1)*(5*w - 2)**2
Let v = -48 - -50. Factor 7*q**v - 130 - q**5 - 2*q**2 + 118 + 9*q**3 - q**4 - 16*q.
-(q - 2)**2*(q + 1)**2*(q + 3)
Factor 1648/3*u - 339488/3 - 2/3*u**2.
-2*(u - 412)**2/3
Let z = 97524/25 - 97484/25. Find k, given that -2/5*k**3 + z*k + 8/5 - 2/5*k**2 = 0.
-2, -1, 2
Let s(x) be the first derivative of 65 + 5/6*x**6 + 0*x + 0*x**2 + 0*x**4 - 20/3*x**3 + 3*x**5. Factor s(y).
5*y**2*(y - 1)*(y + 2)**2
Let g be (-2 - -1)/(135/(-405)). Factor 8/7*h**2 + 2/7*h**4 - 24/7*h + 0 + 2*h**g.
2*h*(h - 1)*(h + 2)*(h + 6)/7
Let h(g) be the first derivative of g**3/33 + 332*g**2/11 + 110224*g/11 + 407. Factor h(z).
(z + 332)**2/11
Let q = 2906 - 206316/71. Let n = q + 214/497. Factor -2/7*t + 2/7*t**3 - 4/7*t**2 + n.
2*(t - 2)*(t - 1)*(t + 1)/7
Suppose -29*g - 29*g - 16 = -62*g. Suppose 0*y**g - 3/8*y**3 + 0*y - 1/4*y**2 + 1/8*y**5 + 0 = 0. Calculate y.
-1, 0, 2
Let z be (26 + (-4)/1)/(-1). Let j = z + 28. Determine f, given that -f**3 - 6*f**3 - 2*f**3 - 21*f**2 - j*f = 0.
-2, -1/3, 0
Let h = 53255 - 53252. Factor -55/4*g + 13/4*g**2 + 75/4 - 1/4*g**h.
-(g - 5)**2*(g - 3)/4
Suppose j - 15 = -4*u, 15*u + 3*j = 17*u - 11. Let i(g) = -7*g**2 + 134*g + 141. Let x(n) = -48*n**2 + 939*n + 987. Let k(w) = u*x(w) - 27*i(w). Solve k(c) = 0.
-1, 47
Suppose -9*n = -12 - 33. Determine l so that -31*l**2 - 4*l**4 - 4*l**3 + 6*l**3 - 7*l**3 + 29*l**2 - l**n = 0.
-2, -1, 0
Let j(k) be the third derivative of -10/3*k**4 + 1/15*k**5 + 200/3*k**3 + 19*k**2 - 7*k + 0. Solve j(d) = 0.
10
Determine o so that 460992 + 3/4*o**2 + 1176*o = 0.
-784
Factor 18 - 3/8*b**2 - 33/4*b.
-3*(b - 2)*(b + 24)/8
Let f(k) be the first derivative of 3*k**4/28 + 13*k**3/7 - 69*k**2/7 + 96*k/7 - 795. Determine r so that f(r) = 0.
-16, 1, 2
Let x(o) = o**4 + 3*o**3 + 3*o**2 - 5*o + 2. Let j(s) = -5*s**4 - 14*s**3 - 17*s**2 + 25*s - 11. Let v(d) = 6*j(d) + 33*x(d). Factor v(k).
3*k*(k - 1)*(k + 1)*(k + 5)
Suppose 358*b = 353*b. Let n(c) = c**2 + c. Let h be n(b). Factor -2/5*f**3 - 6/5*f**2 - 4/5*f + h.
-2*f*(f + 1)*(f + 2)/5
Suppose -6277*p = -6879*p + 1204. Determine c, given that 6 - 24/11*c**p - 258/11*c = 0.
-11, 1/4
Let m(n) = n**2 - n - 4. Let g be m(3). Suppose 324*h = 320*h + 40. Find z, given that 38*z - 10*z**3 - 17*z + 4*z + h + 5*z**g = 0.
-1, -1/2, 2
Suppose 9*h - 9*h**3 + 65/7*h**2 - 64/7 - 1/7*h**4 = 0. Calculate h.
-64, -1, 1
Let t = 983365/462 + 745/154. Factor -4/3*u**3 - t*u - 320/3*u**2 + 0.
-4*u*(u + 40)**2/3
Let s(p) = 2*p**3 - 100*p**2 - 210*p + 104. Let q be s(52). Factor -38/3*k - 2/3*k**2 + q.
-2*k*(k + 19)/3
Let s be -6*(-4)/4 - 8 - -8. Let n(l) be the first derivative of -2/27*l**3 - 1/27*l**6 - 2/9*l**2 - s + 0*l + 2/45*l**5 + 1/6*l**4. Solve n(i) = 0.
-1, 0, 1, 2
Suppose -86*q + 361*q - 834 = -142*q. Let 2*p - 7/2*p**q + 3/2 = 0. Calculate p.
-3/7, 1
Let h = 19 - 13. Suppose 0*w = 3*w - h. Factor -z**2 - w*z**3 - 3*z**2 + z**2 + 5*z**3.
3*z**2*(z - 1)
Suppose -3/2*j**4 - 16 + 5*j**3 + 10*j**2 - 12*j - 1/2*j**5 = 0. What is j?
-4, -2, -1, 2
Suppose 7*y + 35 = -28. Let k = 3 - y. Factor 0 - 8 - 4*b**3 + 0*b + 0 + k*b.
-4*(b - 1)**2*(b + 2)
Let c(f) = -3*f**2 + 15*f + 18. Let m be c(6). Suppose -5*i + 10 = m, -3*o - i = -o - 10. Suppose 3/8*h**3 + 1/8*h**2 - 3/8*h - 1/4 + 1/8*h**o = 0. What is h?
-2, -1, 1
Factor -90/7 - 88/7*t + 2/7*t**2.
2*(t - 45)*(t + 1)/7
Let j = -41 + 46. Suppose j*a - 3 = 12. Let 3*b**2 + 45*b**3 - 3*b**4 - 45*b**a = 0. Calculate b.
-1, 0, 1
Let y be (4/(-5))/(6744/(-720) - -10 - 10/12). Determine n, given that 0 + 10/17*n**y - 30/17*n**3 + 8/17*n**5 - 40/17*n**2 - 8/17*n = 0.
-2, -1, -1/4, 0, 2
Let u = -699842 + 699844. Factor 1600/7 + 4/7*v**u - 160/7*v.
4*(v - 20)**2/7
Suppose 0 = -458*d - 27*d + 637 + 333. Let 21/5*o + 3/5*o**d + 18/5 = 0. Calculate o.
-6, -1
Let j = -193618 - -193620. Factor -6/7*t - 3/7*t**3 + 0 + 9/7*t**j.
-3*t*(t - 2)*(t - 1)/7
Let h(g) be the third derivative of -g**8/33600 + 17*g**7/2100 - 289*g**6/300 - g**5/15 - 47*g**2. Let l(n) be the third derivative of h(n). Factor l(o).
-3*(o - 34)**2/5
Let u(z) be the first derivative of 169 + 63/2*z**2 + 33*z - 2*z**3. Find w, given that u(w) = 0.
-1/2, 11
Let s(z) = -11*z**4 - 76*z**3 + 230*z**2 - 62*z - 99. Let q(n) = 12*n**4 + 76*n**3 - 228*n**2 + 64*n + 100. Let k(x) = -3*q(x) - 4*s(x). Solve k(c) = 0 for c.
-12, -1/2, 1, 2
Suppose -25*g**3 + 23*g**4 + 286120 - 28*g**4 + 100*g - 286040 = 0. Calculate g.
-4, -2, -1, 2
Let n(o) be the third derivative of 94*o**2 + 0*o**3 + 0*o**6 + 0*o**4 + 1/42*o**7 - 1/3*o**5 + 0*o + 0. Factor n(y).
5*y**2*(y - 2)*(y + 2)
Let h(k) be the first derivative of -1/2*k**2 + k**3 + 3/10*k**5 + 8 - 13/16*k**4 - 1/24*k**6 + 0*k. Factor h(z).
-z*(z - 2)**2*(z - 1)**2/4
Factor 13*i + 26*i**2 - 12 + 7*i - 20 - 28*i**2.
-2*(i - 8)*(i - 2)
Let l(s) be the first derivative of 5*s**3/18 + 10*s**2 + 110*s/3 + 895. Factor l(j).
5*(j + 2)*(j + 22)/6
Find h such that -33/2 - 8*h**2 + 1/2*h**4 + 29*h - 5*h**3 = 0.
-3, 1, 11
Let q(f) = 13*f**2 - 98*f + 15. Let b(u) = -54*u**2 + 393*u - 63. Let d = 26 + -47. Let h(g) = d*q(g) - 5*b(g). Solve h(w) = 0.
0, 31
Let r(z) be the second derivative of -2*z**7/189 - 8*z**6/45 - 44*z**5/45 - 38*z**4/27 + 10*z**3/3 + 100*z**2