 + 9*g - g**2 - 9*g**2 + 3 - 9*g**2. Let u(s) = 7*q(s) - 2*t(s). Let u(b) = 0. What is b?
-1, 1
Let f be (90/65)/(-28 + 5565/195). Solve 0 + f*c**4 - 26/7*c**3 - 18/7*c**2 - 2/7*c**5 + 4*c = 0 for c.
-1, 0, 1, 2, 7
What is w in 0 + 56/3*w**2 + 10*w + 2/9*w**5 + 100/9*w**3 + 8/3*w**4 = 0?
-5, -3, -1, 0
Suppose -2*f + 473 = 2*p - 539, 0 = -2*f - 5*p + 1000. Let g(b) = b**2 + 3. Let t be g(-3). Factor -3*x + 520 - f - t*x + 5*x**3.
5*(x - 1)**2*(x + 2)
Let o(p) be the third derivative of 161*p**2 - 1/160*p**5 - 41/16*p**3 + 21/32*p**4 + 0*p + 0. Factor o(c).
-3*(c - 41)*(c - 1)/8
Let v(m) be the second derivative of 0*m**3 + 0*m**2 - 8/3*m**4 + m - 4 - 1/5*m**5. Factor v(z).
-4*z**2*(z + 8)
Let o(q) be the third derivative of 18*q**3 + 0*q - 104*q**2 - 1/70*q**7 + 0 - 3/20*q**6 - 1/4*q**5 + 3*q**4. Factor o(r).
-3*(r - 2)*(r + 2)*(r + 3)**2
Let m(i) = -i**3 + 6*i**2 - 8*i + 27. Let b be m(6). Let g be (-48)/b*14/112. Determine n, given that 0 + g*n**5 - 4/7*n + 10/7*n**2 - 6/7*n**3 - 2/7*n**4 = 0.
-2, 0, 1
Suppose -u + l + 96 = -225, 20 = 5*l. Suppose -u + 307 = -9*w. Determine o, given that 4/7*o - 6/7*o**4 - 4/7*o**3 + 16/21*o**w + 2/21 = 0.
-1, -1/3, 1
Let f = 55 + 1212. Factor f*r**2 + 1372*r + 2436*r**3 - 2055*r**2 + 16*r**5 - 235*r**2 + 340*r**4 + 3736*r**2 + 3363*r**2.
4*r*(r + 7)**3*(4*r + 1)
Let g = 580346/3 + -193447. Find x, given that 14/3*x**3 - g - 1/3*x**4 + 19/3*x - 26/3*x**2 - 1/3*x**5 = 0.
-5, 1
Let m be (2*-3 + -2)/2 + 19. Suppose -4*d - 7 + m = 0. Determine q, given that -79*q**d + 1231*q**2 + 617*q**3 + 54 + 407*q**3 + 432*q = 0.
-3/8
Let t be 21/(-18) + (-4)/8. Let l = 241/15 + t. Let -l - 32/5*d**2 - 4/5*d**3 - 84/5*d = 0. What is d?
-3, -2
Let d(v) be the first derivative of -v**6/1260 - v**5/42 - 3*v**4/28 - v**3/3 - 44*v + 55. Let k(z) be the third derivative of d(z). Factor k(f).
-2*(f + 1)*(f + 9)/7
Let j(a) = 4*a**3 + 3490*a**2 + 3486*a. Let k(m) = 36*m**3 + 31408*m**2 + 31372*m. Let p(w) = 44*j(w) - 5*k(w). Suppose p(t) = 0. Calculate t.
-869, -1, 0
Let j(u) be the first derivative of 11*u + 1/17*u**4 + 11/51*u**3 + 6/17*u**2 + 42 + 1/170*u**5. Let m(w) be the first derivative of j(w). Factor m(g).
2*(g + 1)*(g + 2)*(g + 3)/17
Let v(y) = -33*y**4 + 135*y**3 - 270*y**2 + 243*y - 75. Let f(k) = -k**5 - 33*k**4 + 134*k**3 - 270*k**2 + 243*k - 73. Let o(s) = -3*f(s) + 4*v(s). Factor o(i).
3*(i - 3)**3*(i - 1)**2
Let t(d) be the first derivative of 2*d**3/3 - 244*d**2 + 968*d + 1123. Factor t(p).
2*(p - 242)*(p - 2)
Let z(f) = 436 + 2*f - 436. Let s(i) = i**2 - 14*i + 16. Let h(k) = -s(k) - 3*z(k). What is w in h(w) = 0?
4
Let m(c) = -29*c**3 + 67*c**2 + 4*c + 2. Let v(z) = 29*z**3 - 71*z**2 - 7*z - 3. Let b(o) = 9*m(o) + 6*v(o). Find i, given that b(i) = 0.
0, 1/29, 2
Solve -758*m + 2481*m - 2*m**2 - 495*m = 0 for m.
0, 614
Let p = -218 + 222. Determine c so that 5*c**p - 37*c**3 + 8*c**2 + 10*c**3 - 13*c**3 - 27*c**4 = 0.
-2, 0, 2/11
Let u(o) = -7*o**3 - 22*o**2 - 48*o + 62. Let m(c) = -3*c**3 - 11*c**2 - 24*c + 32. Let s(l) = -5*m(l) + 2*u(l). Find v, given that s(v) = 0.
-6, 1
Let f be ((-163)/(-1141))/(1/14). Factor 1 + 77/4*b**f + 9*b.
(7*b + 2)*(11*b + 2)/4
Let f(j) = -j**2 - 31*j + 28. Let d be f(-28). Factor d - 255 - 4*q**2 + 111 - 24*q.
-4*(q + 2)*(q + 4)
Let w(l) = -2*l**2 + 10*l + 3. Suppose 4*f = -2*c - 6, 2*f + 0*f + 13 = c. Let m be w(c). Factor -7*r**2 - 5*r + 35*r**2 - 3*r - 5*r**3 - 7*r**m.
-4*r*(r - 2)*(3*r - 1)
Determine m so that -435/4*m**2 - 108*m + 108*m**3 + 3/8*m**4 + 867/8 = 0.
-289, -1, 1
Let m(c) be the second derivative of -c**8/336 - 2*c**7/105 - c**6/120 + c**5/10 - 5*c**2/2 - 151*c. Let o(a) be the first derivative of m(a). Factor o(y).
-y**2*(y - 1)*(y + 2)*(y + 3)
Let q(j) be the third derivative of -7*j**6/600 + j**5/12 - 3*j**4/20 + 22*j**2 + j. Determine a so that q(a) = 0.
0, 1, 18/7
Let r(m) be the first derivative of 0*m - 3/16*m**4 + 58 + 3/4*m**2 + 1/4*m**3. Let r(f) = 0. Calculate f.
-1, 0, 2
Let b(d) be the second derivative of d**4/15 - 2368*d**3/15 + 700928*d**2/5 + 339*d + 15. Determine w, given that b(w) = 0.
592
Let k(h) = h**3 + h**2 - 1. Let m be -5*((-96)/(-40) - 2). Let c(v) = 6*v**3 + 28*v**2 + 44*v + 9. Let o(u) = m*c(u) + 6*k(u). Determine y, given that o(y) = 0.
-6, -2, -1/3
Let o be (6/(-4))/((-57)/(-304)). Let l be 9 + -11 + o/(-2). Factor 2/5*v**l + 0*v + 2/5*v**3 + 0.
2*v**2*(v + 1)/5
Let b(t) = -33*t**4 + 209*t**3 - 222*t**2 + 8*t + 4. Let w(r) = -68*r**4 + 419*r**3 - 447*r**2 + 18*r + 9. Let v(h) = -9*b(h) + 4*w(h). Factor v(l).
5*l**2*(l - 7)*(5*l - 6)
Let p be 227 + (-11)/((-55)/(-35)). Factor -244*g + 5638 + p + 1584 + 2*g**2.
2*(g - 61)**2
Let a be ((-98)/32)/(22925/(-117900)). Suppose 19/4*n**3 + a*n**2 - 1/4*n**4 + 11/2 + 65/4*n = 0. Calculate n.
-1, 22
Let k(z) be the first derivative of z**5/40 + 9*z**4/32 + z**3/3 + 1878. Let k(r) = 0. Calculate r.
-8, -1, 0
Suppose 0 = 2*b + 43 - 49. Suppose -5*z - 27 = n - 3*n, b*n + 5*z - 28 = 0. What is i in -4*i**4 + i - 13*i - n + 19 - 4*i**2 + 12*i**3 = 0?
-1, 1, 2
Let i(n) be the third derivative of 64*n**2 + 0*n - 1/60*n**5 + 4*n**4 - 384*n**3 + 3. Factor i(p).
-(p - 48)**2
Let r(t) = -5*t**3 - 352*t**2 - 12247*t - 101124. Let a(f) = 66*f**3 + 4575*f**2 + 159213*f + 1314612. Let z(g) = -2*a(g) - 27*r(g). Solve z(p) = 0 for p.
-53, -12
Suppose -56*d - 40*d = 77*d. Factor 2/3*k**2 + 0*k + d.
2*k**2/3
Suppose 35/2 - 9/4*o**3 + 1/4*o**4 + 1/4*o**2 + 81/4*o = 0. What is o?
-2, -1, 5, 7
Find q, given that -255*q**2 - 246*q**2 - 12*q**3 + 189 + 462*q**2 + 162*q = 0.
-21/4, -1, 3
Let o be (-2)/4*1*(-3 - -11). Let b be 3 - (o + 0)/2. Determine x so that x**2 + 3*x**2 + 145*x - 10*x**4 - 150*x + 6*x**2 + b*x**5 = 0.
-1, 0, 1
Let t(p) = p**3 + 6*p**2 + 7*p + 3. Let w be t(-3). Suppose -w*d = -27 + 9. Factor 2*y**2 + 26*y - 4*y**3 + d*y**2 + 0*y**3 - 16 - 10*y.
-4*(y - 2)*(y - 1)*(y + 2)
Let 2808/5 + 60*r**2 + 2/5*r**3 - 1854/5*r = 0. Calculate r.
-156, 3
Let h be (-30)/(-1 + (-13)/(-16)). Let c be h/(-30)*(-15)/35. Suppose 4/7*n - c + 10/7*n**2 + 2/7*n**3 = 0. What is n?
-4, -2, 1
Suppose -8628 = 5*p + 3*b, 3*b = -1 + 13. Let k be p/504*(-1)/4. Find x, given that k*x + 0 - 9/7*x**2 + 3/7*x**3 = 0.
0, 1, 2
Let p(f) = f**2 - 33*f - 98. Let w be p(36). Let z be ((-6)/(-9) + -2)/(w/(-15)). Factor 0 - 2/5*s**z - 16/5*s.
-2*s*(s + 8)/5
Suppose 0 = 5*d + 30, 6*p + 4*d = 3*d - d. Let j(u) be the first derivative of -1/18*u**4 - 10 + 4/9*u - 2/45*u**5 + 2/9*u**3 + 5/9*u**p. Factor j(b).
-2*(b - 2)*(b + 1)**3/9
Factor 20*g - 1/2*g**3 + 0 - 3/2*g**2.
-g*(g - 5)*(g + 8)/2
Solve 2/3*l**4 - 28/3*l**3 + 58/3*l**2 - 128 + 352/3*l = 0 for l.
-3, 1, 8
Let u = -20 - -13. Let n be (2/u)/(3/(-21)). Determine y so that 3*y**5 + 1 + n*y**3 - 2*y**2 - 4*y**5 + 0*y + y - 2*y + y**4 = 0.
-1, 1
Let j be (-6)/(-34) + 78/136. What is v in -9 - 6*v + 3/4*v**2 + j*v**3 = 0?
-2, 3
Let t = -2/735955 - -6623599/1471910. Solve 12 - t*s + 3/8*s**2 = 0.
4, 8
Let a(v) be the third derivative of v**6/80 + 453*v**5/8 + 160461*v**4/2 + 320356*v**3 + 13697*v**2. Factor a(i).
3*(i + 1)*(i + 1132)**2/2
Let f = -1791067/2 - -895534. Factor -72 - f*s**4 + 12*s + 23/2*s**2 - s**3.
-(s - 3)**2*(s + 4)**2/2
Suppose -5*l - 150 = 13*r - 290, -2*r + 10 = -5*l. Solve -2/3*n**l + 12*n + 0 = 0.
0, 18
Determine a so that -64*a**2 - 59*a**2 + 14*a + 45*a**3 + 42*a**2 + 3*a - 3*a**4 + 22*a = 0.
0, 1, 13
Solve 199*p - 3*p**4 - 186731*p**3 - 101*p**2 + 186700*p**3 + 2*p**4 + 270 = 0.
-27, -5, -1, 2
Let u be 6/9 - 308/6. Let a = u - -1100/21. What is w in a*w**2 - 6/7*w**4 + 2/7*w - 6/7 + 2/7*w**5 - 4/7*w**3 = 0?
-1, 1, 3
Suppose 5*r + 627 = 3*w, -4*w + 5*r = -473 - 358. Suppose -w - 16 = -11*f. Factor -14 + f + 24 + 5*s - 5*s**2 + 0.
-5*(s - 3)*(s + 2)
Let w = -342 - -360. Suppose -28*d + 30 = -w*d. Find l such that 2/3*l + 0 - 4/3*l**4 - 2/3*l**5 + 0*l**d + 4/3*l**2 = 0.
-1, 0, 1
Let l be ((-96)/40)/(3/20). Let u be -16 - l - (-12)/8. Suppose -3/2*g**3 + 0 - u*g**2 + 3*g = 0. What is g?
-2, 0, 1
Suppose -m + 4*m = -120. Let f = m - -73. Factor i**3 - 10*i**2 - f*i + 4*i**2 + 0*i**3 - 8 + 45*i.
(i - 2)**3
Let s be 66348/1746 + 188/(-5). Suppose 3/5*u + s + 1/5*u**2 = 0. Calculate u.
-2, -1
Let f(c) be the second derivative of c**3/2 + c**2 - 15*c. Let j be f(0). Factor 3*