**3 + 18*g**2 - 2903*g**3 = 0.
-4, -1
Let j(r) = -1754*r**2 + 8770*r + 2. Let v be j(5). Determine l so that 19/8*l**3 - 3/8*l**5 - 3/2*l - 1/2*l**4 + 0 + l**v = 0.
-3, -1, 0, 2/3, 2
Let h(y) = y**3 - 4*y**2 - 5*y + 15. Let n be h(5). Suppose -18 - 9*j**2 + j**2 + 2*j**2 + 3*j**2 - n*j = 0. What is j?
-3, -2
Let p = -1519807/69 - -22023. Let a = p + 104/23. Factor -8/9 - 2/9*c**4 + a*c**3 + 8/3*c - 26/9*c**2.
-2*(c - 2)**2*(c - 1)**2/9
Let k(v) = 5*v - 26. Let q be k(5). Let r be q*(0 - -1)/((-4)/20). Suppose -r - 18 - 42 - 33 - 2*h**2 + 28*h = 0. What is h?
7
Let j(q) be the first derivative of 4*q**5/5 + 312*q**4 + 32448*q**3 + 1919. Factor j(u).
4*u**2*(u + 156)**2
Factor -4*f**2 + 911*f - 500*f + 669*f + 768*f.
-4*f*(f - 462)
Let j(b) be the first derivative of -b**6/24 + 981*b**5/20 - 241079*b**4/16 + 239119*b**3/12 + 30135*b**2 - 60025*b + 2501. Let j(d) = 0. Calculate d.
-1, 1, 490
Let g(c) = c**3 + 129*c**2 - c - 1. Let b(t) = -2*t**3 + 3914*t**2 - 8862*t + 4438. Let w(h) = -b(h) - 4*g(h). Let w(k) = 0. Calculate k.
-2217, 1
Let p(k) = k**3 - 3*k**2 + 17*k - 135. Let c be p(5). Factor c - 32/3*h**2 + 0*h + 112/3*h**3 + 62/3*h**4 + 8/3*h**5.
2*h**2*(h + 4)**2*(4*h - 1)/3
Factor 364*r**3 + 65*r - 2 - 22 - 400*r**3 + 80*r**2 + 18*r + 9*r.
-4*(r - 3)*(r + 1)*(9*r - 2)
Let m(p) = 2*p**2 - 4*p**2 - 11*p**2 - p + 25*p. Let r(k) = 28*k**2 - 49*k. Let x(w) = -13*m(w) - 6*r(w). Factor x(t).
t*(t - 18)
Determine h, given that -4*h**3 + h**4 - 14*h**3 + 97*h**2 - 13*h**2 + 2*h**4 - 30*h**3 = 0.
0, 2, 14
Let c = -86 - -91. Let w(r) = r**3 - 2*r**2 - 15*r + 4. Let v be w(c). Solve t**3 - 16*t**3 + 15*t + 5*t**2 - 8*t**v + 3*t**4 = 0 for t.
-3, -1, 0, 1
Let b be ((-582)/(-21))/1 - 2/(-7). Factor u**3 - b*u + 4*u**2 - u**2 + 50*u - 20*u.
u*(u + 1)*(u + 2)
Let w(m) be the second derivative of m**5/4 - 985*m**4/12 + 43775*m**3/6 + 477405*m**2/2 - 2*m + 6606. Factor w(z).
5*(z - 103)**2*(z + 9)
Let x = 146 + -125. Let g be x*(-3)/(-7 - 11). Determine k so that 3*k - 1/2*k**2 + g = 0.
-1, 7
Factor -3*r**4 + 221*r + 290*r**2 - 77*r - 95*r**3 - 23*r**2 - 57*r**2 + 158*r**3.
-3*r*(r - 24)*(r + 1)*(r + 2)
Suppose -2*p - 2 = -7*h + 6*h, 3*h - 6 = p. Factor 8/7*r**3 + 2/7*r**4 - 2 + 40/7*r - 36/7*r**h.
2*(r - 1)**3*(r + 7)/7
Let y(w) be the first derivative of -480*w**2 + 10*w**4 + 4/5*w**5 - 92/3*w**3 + 2304*w + 109. Factor y(l).
4*(l - 3)**2*(l + 8)**2
Determine u, given that 44354/13*u**2 - 2672/13*u + 8978/13*u**3 + 40/13 = 0.
-5, 2/67
Determine p, given that -41/5*p**3 + 36*p + 12/5*p**4 - 40 - 1/5*p**5 + 2/5*p**2 = 0.
-2, 2, 5
Let b(p) be the third derivative of 5*p**8/84 + 58*p**7/7 - 355*p**6/24 - 131*p**5/6 + 295*p**4/8 + 220*p**3/3 - 5678*p**2. Solve b(h) = 0.
-88, -1/2, 1
Let q = -111239/7 - -5228820/329. Let b = q + -57/47. Solve -4/7*y**4 - 2/7*y + 0*y**3 + b*y**2 + 0 + 2/7*y**5 = 0 for y.
-1, 0, 1
Let o(x) = -2*x**2 + 37*x - 51. Let j be o(17). Let m be 8/3 + (j - -4) + -5. Factor m - 10/3*b**2 - 35/6*b.
-5*(b + 2)*(4*b - 1)/6
Let c(b) be the first derivative of 3*b**5/5 - 219*b**4/4 + 206*b**3 + 420*b**2 - 5660. Factor c(l).
3*l*(l - 70)*(l - 4)*(l + 1)
Let f(o) be the second derivative of -o**4/3 - 1376*o**3 - 13118*o. Let f(j) = 0. What is j?
-2064, 0
Let v = 139062 + -139059. Factor -600/7 + 60*t + 3/7*t**v - 66/7*t**2.
3*(t - 10)**2*(t - 2)/7
Suppose -2350112/3 - 4336/3*g - 2/3*g**2 = 0. Calculate g.
-1084
Suppose -7*m = 78 + 48. Let i be m/3*(-12)/132. Let i*a - 36/11 + 6/11*a**2 = 0. What is a?
-3, 2
Let b(m) = 9*m**3 + 6*m**2 - 33*m - 60. Let s(c) = 8*c**3 + 5*c**2 - 34*c - 56. Let v(r) = -5*b(r) + 6*s(r). Let v(o) = 0. What is o?
-3, -1, 4
Factor 9/2*y**5 - 78*y**4 + 98*y**3 + 0*y + 0 - 32*y**2.
y**2*(y - 16)*(3*y - 2)**2/2
Let n(o) be the first derivative of o**5 - 105*o**4/4 + 250*o**3 - 1040*o**2 + 1920*o - 1651. Factor n(l).
5*(l - 8)**2*(l - 3)*(l - 2)
Let m(b) be the third derivative of b**6/240 + 19*b**5/60 - b**4/48 - 19*b**3/6 - 126*b**2 + 3. Factor m(f).
(f - 1)*(f + 1)*(f + 38)/2
Let r be (3/6)/(0 + (-2)/(-1426)). Let n = -355 + r. Suppose 0 - 21/2*g**2 - 27/2*g**3 - 3*g - 15/2*g**4 - n*g**5 = 0. What is g?
-2, -1, 0
Let c(m) = -4*m**3 - 2*m**2 + 11*m - 13. Let r be c(2). Let z = r + 35. Determine a, given that -2/3*a**z + 2/3*a**3 - 2/3*a + 2*a**2 - 4/3 = 0.
-1, 1, 2
Suppose -672*t + 312*t**2 + 186*t**3 - 1920 + 3/2*t**5 + 30*t**4 = 0. Calculate t.
-10, -4, 2
Let d = -1772 + 1772. Let z = -95 + 571/6. Find r such that -2/3*r**2 + d - z*r = 0.
-1/4, 0
Let i = -9656988/36026165 - 12/44753. Let z = 2/115 - i. Let 10/7 - 8/7*p - z*p**2 = 0. Calculate p.
-5, 1
Find t such that -16*t**3 + 2418*t - 118*t**2 + 27*t**3 - 1264*t - 10*t**3 - 1394*t = 0.
-2, 0, 120
Let a(m) = 2*m**5 + 66*m**4 + 360*m**3 + 4*m**2 - 4*m. Let u(t) = -2*t**4 - t**2 + t. Let p(b) = -a(b) - 4*u(b). What is q in p(q) = 0?
-20, -9, 0
Determine m, given that 52*m**3 - 376*m**3 - 117*m**4 + 725*m**2 + 6*m**5 + 9*m**5 - 785*m**2 = 0.
-2, -1/5, 0, 10
Find d such that -d**5 - 17*d**4 - 5347 - 80*d**3 + 5347 - 64*d**2 = 0.
-8, -1, 0
Determine d so that 11*d**2 - 27*d**2 - 4*d**5 + 18*d**4 + 4*d**3 + 8*d**2 + 10*d**4 - 20*d**4 = 0.
-1, 0, 1, 2
Factor 0 - 1/9*c**3 - 112/9*c + 58/9*c**2.
-c*(c - 56)*(c - 2)/9
Find h such that 39*h**2 + 3968 - 540*h + 68932 - 38*h**2 = 0.
270
Factor 336 - 96*a**3 + 116*a**3 + 789*a + 332*a**2 - 37*a.
4*(a + 2)*(a + 14)*(5*a + 3)
Determine t, given that 1/5*t**2 + 4805 - 62*t = 0.
155
Determine r, given that 400*r**4 - 195/7*r + 2840/7*r**3 - 137/7*r**2 - 18/7 = 0.
-1, -3/20, 2/7
Suppose 15*w = 19*w - 5*v - 6, -5*w + 12 = -4*v. Let q(f) be the third derivative of 0 - 2*f**2 + 1/270*f**5 - 1/54*f**w + 0*f + 0*f**3. Factor q(d).
2*d*(d - 2)/9
What is l in 1/10*l**5 + 0 + 0*l + 67/5*l**4 + 0*l**2 + 4489/10*l**3 = 0?
-67, 0
Let w = -4905 - -29435/6. Let j(i) be the third derivative of 23/12*i**5 + 1/2*i**6 - 10/3*i**3 + 0 - w*i**4 - i**2 - 6/7*i**7 + 0*i. Factor j(f).
-5*(2*f + 1)**2*(3*f - 2)**2
Let a = 6863 + -20903/3. Let w = a - -106. Factor 0 - w*c - 2/3*c**3 - 2*c**2.
-2*c*(c + 1)*(c + 2)/3
Let f(c) = -8*c - 4. Let s be f(-1). Suppose w + s*a = 7, 0 = 3*w - 5*a - 4. Factor 6/5*q + 0 + 3/5*q**2 - 6/5*q**w - 3/5*q**4.
-3*q*(q - 1)*(q + 1)*(q + 2)/5
Find h such that 162*h**2 - 60*h**3 + 1689 - 8*h**5 + 5*h**5 - 54*h**4 + 617 - 156*h**3 + 2187*h + 610 = 0.
-12, -3, 3
Suppose 12 = 2*r, r - 68 + 38 = -8*i. Let v be (0 - 2)/(1/(-2)). Find u such that 11*u**2 - 135*u**4 - 4*u**3 + u + 2*u**5 - v + 130*u**4 + i*u = 0.
-1, 1/2, 2
Let m(l) be the second derivative of l**7/70 + 23*l**6/25 - 291*l**5/100 - 23*l**4/10 + 48*l**3/5 + 4945*l. Find w such that m(w) = 0.
-48, -1, 0, 1, 2
Suppose -169*o + 60 = -80*o - 77*o. Let h(i) be the first derivative of 0*i**2 + 5/6*i**6 + 0*i - 16 - 6*i**o - 40/3*i**3 + 15*i**4. Factor h(s).
5*s**2*(s - 2)**3
Suppose 35*a = 30*a + 10. Suppose -3*b = -5*q + 61, -6*q - a*b + 20 = -5*q. Let -3*m**3 - 2*m**4 + 282 - 282 + q*m**4 = 0. Calculate m.
0, 1/4
Let r = -420624 - -1682497/4. Suppose 3*g + 0*g = 0. Solve -r*j**3 - 1/2*j**2 + 0 + g*j = 0 for j.
-2, 0
Let g(i) = -17*i**3 + 6*i**2 - 163*i - 142. Let r(m) = -9*m**3 + 6*m**2 - 81*m - 72. Let b(u) = -6*g(u) + 11*r(u). Factor b(q).
3*(q + 1)*(q + 4)*(q + 5)
Suppose -36120*s - 3/2*s**4 - 180*s**3 - 12069/2*s**2 + 42336 = 0. What is s?
-56, -9, 1
Factor 115*i**5 - 113*i**5 - 156*i**2 + 408*i**2 + 216*i**3 + 36*i**4 + 224*i**2 + 294*i.
2*i*(i + 1)*(i + 3)*(i + 7)**2
Find a, given that 10*a + 90*a**3 - 1497*a**5 - 5*a**4 + 34*a**2 + 739*a**5 + 41*a**2 + 728*a**5 = 0.
-1, -1/6, 0, 2
Let h(a) be the second derivative of a**10/15120 - a**9/3780 - a**8/420 - 7*a**4/12 - a**3/2 - 90*a + 2. Let x(o) be the third derivative of h(o). Factor x(j).
2*j**3*(j - 4)*(j + 2)
Let y be ((-45 + 45)*(-2)/(-6))/(-13 + 6 - -5). Find z, given that 1/4*z + 1/4*z**2 + y = 0.
-1, 0
Let m be (-4)/((6/4)/((-69)/92)). Determine j, given that -12*j**4 + 6*j**5 + 0*j**5 - 13*j + 25*j - 18*j**3 + 14*j**2 - m*j**4 = 0.
-1, -2/3, 0, 1, 3
Let x be ((-29)/(-435))/((-70)/240*3/(-63)). Let -x*z**2 - 24/5*z**4 + 0 + 36/5*z**3 + 6/5*z + 6/5*z**5 = 0. What is z?
0, 1
Let n(p) be the first derivative of -4*p**5/5 - 170*p**4 + 228*p**3 - 2151. Factor n(q).
-4*q**2*(q - 1)*(q + 171)
Factor 0 + 8/11*t + 46/11*t**