**4 + 126*j**3 + 2400*j + 2*j**5 - j**5 + 2560*j**2 + 174.
j*(j - 20)**2*(j + 1)*(j + 6)
Let h be (-1992)/7470*(-1)/(-4)*-5. Determine l, given that -2 - h*l**2 + 5/3*l = 0.
2, 3
Let p(r) = 5*r**2 + 8*r - 196. Let q(h) = -33*h**2 - 42*h + 1371. Let i(z) = 27*p(z) + 4*q(z). Factor i(w).
3*(w + 8)**2
Let s be (35/(-56))/(8/(4608/(-180))). Factor z + 2/5 - 52/5*z**s.
-(4*z - 1)*(13*z + 2)/5
Let n = -6/215 + 70/43. Suppose 23 - 11 = 3*q. Suppose -2/5*p**3 + 0 + n*p + 2/5*p**q - 8/5*p**2 = 0. Calculate p.
-2, 0, 1, 2
Determine l so that -1650*l**2 + 48558 - 3864*l**2 - 2390*l**2 + 26511 + 2*l**5 + 332*l**3 - 22169 + 9890*l + 76*l**4 = 0.
-23, -2, 5
Let b(k) = k**3 - 4*k**2 - 181*k + 882. Let m be b(5). Factor -16/11*z - 24/11 + 6/11*z**m + 4/11*z**3.
2*(z - 2)*(z + 2)*(2*z + 3)/11
Let c = 9869/11 - 9863/11. Factor -20/11*y + 0 - c*y**2 + 2/11*y**3.
2*y*(y - 5)*(y + 2)/11
Let c(z) = 48*z**2 - 3600*z + 2. Let s be c(75). Factor 0 - 3/4*b**s + 51/2*b.
-3*b*(b - 34)/4
Let t(m) be the second derivative of -m**4/12 + 1127*m**3/3 + 4*m - 773. Suppose t(x) = 0. Calculate x.
0, 2254
Let f(j) be the second derivative of j**6/120 - 13*j**5/20 - 94*j**3/3 - 66*j. Let k(s) be the second derivative of f(s). Factor k(t).
3*t*(t - 26)
Let g(b) be the first derivative of b**5/4 + 5*b**4/2 - 13*b - 133. Let m(x) be the first derivative of g(x). Determine y, given that m(y) = 0.
-6, 0
Let a be 48/120*(-1 - (-66)/51). Let a*y**3 - 26/17*y**2 - 58/17*y - 30/17 = 0. What is y?
-1, 15
Let p = -2094 - -1261. Let g be ((-34)/p)/((-2)/(-14)). Determine x so that 6/7*x**2 + 2/7*x**3 + 6/7*x + g = 0.
-1
Let l = -32536 - -2245028/69. Let d = l - -2/69. Determine m, given that 32/3 - 16/3*m**2 + 32/3*m - 16/3*m**3 + 2/3*m**4 + d*m**5 = 0.
-2, -1, 2
Factor -400 + 513*f**2 + 80*f + 515*f**2 - 1539*f**2 + 507*f**2.
-4*(f - 10)**2
Suppose 243*r - 261*r = -36. Let c(f) be the first derivative of -37 - 10*f**r - 20*f - 5/3*f**3. Factor c(g).
-5*(g + 2)**2
Find l, given that 1524*l**2 + 0*l**3 - 12*l**3 + 175173*l + 14*l**3 + 115149*l = 0.
-381, 0
Let u(l) = -35*l + 190. Let t be u(5). Let s be -1 - (t + -13 - 27/7). Factor -s*j**2 - 2/7*j**4 + 8/7*j**3 + 0 + 0*j.
-2*j**2*(j - 3)*(j - 1)/7
Suppose -21/2*c**3 - 162 - 57/2*c**2 + 576*c = 0. What is c?
-9, 2/7, 6
Let k(m) be the second derivative of -m**4/30 + 66*m**3 - 49005*m**2 + 8*m - 17. Solve k(h) = 0 for h.
495
Let p = -2929 + 2932. Let a(f) be the second derivative of -1/75*f**6 + 0 + 13*f + 2/5*f**2 - 1/3*f**p + 1/50*f**5 + 1/10*f**4. Suppose a(b) = 0. What is b?
-2, 1
Suppose 11*p - 30 = 3. Let a(l) be the second derivative of -12*l - 1/5*l**5 + 0*l**4 + 0*l**p + 0*l**2 + 0 - 1/30*l**6. Let a(f) = 0. Calculate f.
-4, 0
Let i(j) be the first derivative of -4*j**5/35 - 13*j**4/7 - 64*j**3/21 + 384*j**2/7 - 438. Factor i(r).
-4*r*(r - 3)*(r + 8)**2/7
Suppose 7*m = 5*m + 12. Suppose w = -3*o + 192, 4*o + 2*w - m*w = 240. Factor o*n**4 + 2*n**3 - 3*n**3 - 6*n**2 - 2*n**3.
3*n**2*(3*n - 1)*(7*n + 2)
Let j(h) be the second derivative of h**7/63 - 55*h**6/9 + 19043*h**5/30 - 18769*h**4/18 - 1132*h. Suppose j(k) = 0. What is k?
0, 1, 137
Let g be 100*(-36)/126*(-35)/75. Solve g - 8*v**2 - 28/3*v = 0.
-2, 5/6
Factor 2*y**4 - y**4 + 1085*y - 1653 + 1293*y**2 + 71*y**3 + 1084 - 1695 - 186.
(y - 1)*(y + 2)*(y + 35)**2
Let k be (8/(-12))/((-3)/9). Let z = 205889/13 - 15837. Factor 2/13*n**5 - z*n**4 + 10/13*n**3 - 4/13*n**k + 0*n + 0.
2*n**2*(n - 2)*(n - 1)**2/13
Let s be (-5)/(-3)*(-32)/(-48)*(-36)/(-4). Factor 2/3*u**3 + 128/3 - s*u**2 + 32*u.
2*(u - 8)**2*(u + 1)/3
Solve 0*j**2 - 2/3*j**5 - 46/3*j**4 + 0 + 0*j + 0*j**3 = 0.
-23, 0
Let p(l) be the first derivative of 151 + 0*l + 13/15*l**5 - 5/18*l**6 + 1/3*l**2 - 1/9*l**3 - 3/4*l**4. Factor p(o).
-o*(o - 1)**3*(5*o + 2)/3
Let s be (-6)/10 + (-222)/5. Let w = 48 + s. Determine a, given that 48*a - 3*a**w - 51*a + 2*a**2 + 4*a**2 = 0.
0, 1
Let s = 1153/54516 + -6/649. Let z(v) be the third derivative of 7*v**2 - 13/30*v**6 + 0*v**3 + 4/35*v**7 - 2/3*v**4 + 4/5*v**5 - s*v**8 + 0 + 0*v. Factor z(b).
-4*b*(b - 2)**2*(b - 1)**2
Suppose -481*l + 38 = 5*a - 479*l, -5*l = 4*a - 61. Factor -2/3*h**3 - 2/5*h**2 - 4/15*h**a + 0*h + 0.
-2*h**2*(h + 1)*(2*h + 3)/15
Let t(a) be the third derivative of -a**6/90 + 4*a**5/5 + 25*a**4/6 + 8*a**3 - 10*a**2. Let o(w) be the first derivative of t(w). Find s such that o(s) = 0.
-1, 25
Let x = 293 - 198. Determine d so that -26*d**4 - 6*d**5 + 12*d**5 - 80*d - 20 - 11*d**5 - 125*d**2 - 9*d**4 - x*d**3 = 0.
-2, -1
Let k(w) be the second derivative of 4*w**7/105 - w**6/75 - 2*w**5/25 + w**4/30 - 29*w - 24. Suppose k(i) = 0. Calculate i.
-1, 0, 1/4, 1
Let a(b) be the third derivative of -b**5/20 + 231*b**4/8 + 116*b**3 + 934*b**2. Suppose a(y) = 0. What is y?
-1, 232
Let j be -2 + 50 + 107342/(-2248). What is a in -1/2*a + j*a**4 + 0 - 5/4*a**2 + 1/4*a**5 - 3/4*a**3 = 0?
-1, 0, 2
Let g(d) be the second derivative of d**4/28 - 145*d**3/14 + 216*d**2/7 + 2004*d. Factor g(m).
3*(m - 144)*(m - 1)/7
Suppose -290*p + 2/3*p**2 + 868/3 = 0. Calculate p.
1, 434
Factor -2050*m**2 + 1095*m**2 + 24*m**3 + 210*m + 33*m**3 - 12*m**3.
5*m*(m - 21)*(9*m - 2)
Let m be 321/825 - (-37)/407. Let t(c) be the first derivative of 8/75*c**3 + 1/50*c**4 - 18 - m*c + 1/25*c**2. Factor t(k).
2*(k - 1)*(k + 2)*(k + 3)/25
Solve 91*s + 67*s - 624 + 17*s - 846 + 30*s**2 - 5*s**3 + 10*s**2 = 0 for s.
-6, 7
Let y be ((-4)/5)/((-1)/10). Suppose 0 = 6*a - 32 + y. Find p, given that -50*p**a + 90*p**2 - 30*p**4 + 7 + 105*p**2 + 145*p - 280*p**3 + 13 = 0.
-4, -1/4, 1
Factor -29/2*g**2 + 129/2*g - 1/2*g**3 - 99/2.
-(g - 3)*(g - 1)*(g + 33)/2
Let p(i) be the second derivative of 2/9*i**4 - 12*i - 1/90*i**5 - 3 - 4/3*i**3 + 0*i**2. Factor p(h).
-2*h*(h - 6)**2/9
Solve w**2 - 54*w - 7*w**2 + w**2 + 7*w**2 - 3*w**2 = 0 for w.
-54, 0
Let c(q) be the third derivative of -q**5/270 - 10*q**4/27 - 13*q**3/9 + 64*q**2. Find b, given that c(b) = 0.
-39, -1
Factor -19/2*z + 55/4*z**2 + 0 - 4*z**3 - 1/4*z**4.
-z*(z - 2)*(z - 1)*(z + 19)/4
Factor 76*g**2 - 170 - 4*g**4 - 24*g**3 - 11 + 96*g + 181.
-4*g*(g - 3)*(g + 1)*(g + 8)
Let n be 2/(-4) + (52/117)/((-32)/(-444)). Solve 0 + 4/3*i + 16/3*i**2 + 5/3*i**4 + n*i**3 = 0 for i.
-2, -1, -2/5, 0
Find p such that 124 + 2*p**2 - 1053*p + p**2 - 9*p**2 + 5*p**2 + 1080*p = 0.
-4, 31
Let s(c) = -2*c**3 + 4*c**2 + 6*c**3 - c - c**2. Let k(l) = -334*l**3 + l - 3*l**2 + 333*l**3 + 3*l**2. Let g(x) = -3*k(x) - s(x). Factor g(t).
-t*(t + 1)*(t + 2)
Let f be 744/3472 - (-2)/252. Factor -2/9*g**2 - 2/3*g**3 + 2/3*g + f*g**4 + 0.
2*g*(g - 3)*(g - 1)*(g + 1)/9
Let x(m) = m**3 + m**2 - m - 1. Let n = 36 + -38. Let f(r) = -5*r**4 - 4*r**3 + 15*r**2 - 5*r - 1. Let g(a) = n*f(a) - 14*x(a). Determine q so that g(q) = 0.
-2, -2/5, 1, 2
Let r(u) = 9*u + 67. Let y be r(-7). Suppose y*f - 48 = -12*f. Factor 4/5*q + 0 - 4/5*q**2 + 1/5*q**f.
q*(q - 2)**2/5
Let k(m) = m**2 - 12*m - 9. Let d be k(13). Find q, given that 8*q**3 - 30*q**d - 37*q**3 + 20*q**5 + 19*q**3 - 5*q**4 = 0.
-1/4, 0, 2
Let l(q) be the second derivative of -5*q**4 + 2216*q**3/3 + 296*q**2 + 510*q. Suppose l(w) = 0. What is w?
-2/15, 74
Let y(v) be the first derivative of -21*v**3 - 39*v**2 - 169*v/7 - 5744. Determine i, given that y(i) = 0.
-13/21
Let q(o) be the third derivative of 0 - 1/1080*o**6 + 0*o - 1/180*o**5 - 1/72*o**4 - 13/6*o**3 + 3*o**2. Let m(u) be the first derivative of q(u). Factor m(p).
-(p + 1)**2/3
Let o = 1/27657 + 811271/27657. Factor -2/3*c**2 - 968/3 + o*c.
-2*(c - 22)**2/3
Suppose -139*y**2 - 114*y**2 + 51*y**2 + 28*y**3 - 3*y**3 - 48*y**2 + 5*y**4 = 0. Calculate y.
-10, 0, 5
Let j(u) be the second derivative of 3/10*u**5 + 54/5*u**2 + 0 + 1/50*u**6 + 37/20*u**4 + 6*u**3 + 134*u. Factor j(y).
3*(y + 2)**2*(y + 3)**2/5
Let z(p) be the second derivative of -25/12*p**4 + 1/6*p**6 + 0*p**2 + 0 - p**5 + 0*p**3 + 56*p. Let z(i) = 0. Calculate i.
-1, 0, 5
Let d = 57 + -55. Let v be (20/(-16) + d)/((-2)/(-24)). Factor -5*n + v*n**2 + 4*n**5 + 10*n**2 + 4 + 16*n**4 + 12*n - 3 + 25*n**3.
(n + 1)**3*(2*n + 1)**2
Let l = 1680 - 1680. Let y(v) be the third derivative of 0 + 6*v**2 - 1/16*v**6 - 37/240*v**5 + l*v - 5/24*v**4 - 3/280*v**7 - 1/6*v**3. Factor y(o).
-(o + 1)**2*(3*o + 2)**2/4
Factor 2/5*w**3 + 0 +