 - 12*u**4 + 28*u**3 + 18*u.
2*(u - 2)*(u - 1)**4
Suppose t = 2*k + 134, -k + 2*t = 81 - 11. Let d = k + 71. Suppose 0 + 2/3*s**d - 14/9*s**3 - 8/9*s**4 + 8/9*s**2 + 8/9*s = 0. Calculate s.
-1, -2/3, 0, 1, 2
Let t(v) = -v**3 + v + 2. Let s(m) = -m**4 + 2*m**3 + 3*m**2 + 6*m - 24. Let w(x) = 3*s(x) + 21*t(x). Factor w(k).
-3*(k - 1)**2*(k + 2)*(k + 5)
Let g(v) be the first derivative of 0*v**2 - 1/2*v**6 + 0*v**5 + 0*v + 3*v**4 - 55 + 0*v**3. Factor g(j).
-3*j**3*(j - 2)*(j + 2)
Let y be 18/(-70)*16/(-192)*28. Find l, given that 1/5*l**5 + y*l**2 - 2/5*l + 1/5*l**3 + 0 - 3/5*l**4 = 0.
-1, 0, 1, 2
Find l, given that 0 - 2/19*l**3 - 14/19*l**2 - 24/19*l = 0.
-4, -3, 0
Let g be (-4)/18 + (-11)/((-8712)/1568). Let q = g + -12/11. Let 0 + 2/3*j + q*j**2 = 0. What is j?
-1, 0
Factor -15 + 2*z - 5244*z**3 + 5243*z**3 - z + 15*z**2.
-(z - 15)*(z - 1)*(z + 1)
Let p(d) = -15*d**2 - 12*d - 3. Let o(g) = -6*g + 14*g**2 - 10 + 10*g + g**3 + 12 + 8*g. Let u(r) = 3*o(r) + 2*p(r). Determine i so that u(i) = 0.
-2, 0
Let m(z) = -z**3 - 16*z**2 + 18*z + 17. Let g be m(-17). Factor 0*w - 3/2*w**3 + g - 3/4*w**4 - 3/4*w**2.
-3*w**2*(w + 1)**2/4
Let h(c) be the second derivative of -1/15*c**3 - 1/5*c**2 + 0 + 30*c + 1/50*c**5 + 1/30*c**4. Factor h(z).
2*(z - 1)*(z + 1)**2/5
Suppose -n + f + 16 = -2, 2*f = -3*n + 44. Let v(t) = -t**3 - 22*t**2 - 37*t + 72. Let z be v(-20). Determine x, given that z*x + 7*x - 4*x**2 - 3*x - n = 0.
2
Let s(q) be the third derivative of -13*q**2 + 1/14*q**3 - 1/420*q**5 + 0*q - 1/84*q**4 + 0. Factor s(o).
-(o - 1)*(o + 3)/7
Let i be (5/20*0)/(-5 - -3). Let j(a) be the second derivative of -1/3*a**4 - 10*a + 2*a**2 + i + 0*a**3. Factor j(n).
-4*(n - 1)*(n + 1)
Suppose 0 = 5*s - 4*p - 84, s + 5*p = -0*p + 11. Suppose -4*d - s = 0, 0*t + 3*d + 12 = 5*t. Factor 28/5*x**4 - 4/5*x**2 - 6/5*x**3 + t*x + 0.
2*x**2*(2*x - 1)*(7*x + 2)/5
Let a(n) be the second derivative of -n**5/150 + n**3/45 - 252*n. What is v in a(v) = 0?
-1, 0, 1
Let g(n) be the second derivative of -n**4/4 - 22*n**3 - 726*n**2 - 48*n - 2. Factor g(h).
-3*(h + 22)**2
Let p(q) be the first derivative of -3*q**4/14 + 8*q**3/21 + 5*q**2/7 - 4*q/7 - 55. Factor p(f).
-2*(f - 2)*(f + 1)*(3*f - 1)/7
Let m(r) be the third derivative of r**7/1050 - r**6/225 - 4*r**3/3 - 3*r**2. Let q(k) be the first derivative of m(k). What is y in q(y) = 0?
0, 2
Let u be 12 + 1 + -2 + -3. Factor 4*y**5 + 28*y**2 + 34*y**3 + 2*y**3 + 20*y**4 + u*y + 0*y.
4*y*(y + 1)**3*(y + 2)
Let l(s) be the first derivative of 4 + 1/3*s**5 + 0*s - 7/2*s**2 + 7/8*s**4 + 2/3*s**3. Let r(q) be the second derivative of l(q). Factor r(i).
(4*i + 1)*(5*i + 4)
Let w be (2/2)/(21/630). Let u = -28 + w. Factor n + n**3 + 1 - n**u + 0*n**3 + 0*n - 2*n.
(n - 1)**2*(n + 1)
Factor 4*o**4 - 104*o**3 - 89*o**2 + 291*o**2 + 474*o**2.
4*o**2*(o - 13)**2
Let o(w) = -9*w**4 - 9*w**3 - 31*w**2 - 15*w + 81. Let m(z) = z**4 + z**3 + 4*z**2 + 2*z - 10. Let n(i) = 51*m(i) + 6*o(i). Let n(p) = 0. What is p?
-2, 1, 2
Let k(t) be the third derivative of -t**6/900 - t**5/225 + 121*t**2 - 2*t. Factor k(g).
-2*g**2*(g + 2)/15
Let s(r) be the third derivative of -1/1440*r**6 + 0*r + 1/720*r**5 + 5/288*r**4 + 0 - 42*r**2 + 1/24*r**3. Suppose s(i) = 0. What is i?
-1, 3
Let a(l) be the second derivative of 1/80*l**5 + 5*l - 1/24*l**4 + 0 + 0*l**3 + 0*l**2. Suppose a(p) = 0. Calculate p.
0, 2
Let g = 20281/240 + -169/2. Let k(y) be the third derivative of 0*y - 5*y**2 + 1/24*y**4 + 0 + 1/6*y**3 + g*y**5. Find d such that k(d) = 0.
-2
Factor -2/9*x**2 + 476/9*x - 28322/9.
-2*(x - 119)**2/9
Let i(b) = 28*b**2 + 45*b - 36. Let q(h) = -13*h**2 - 21*h + 18. Let o(m) = 6*i(m) + 13*q(m). Factor o(c).
-(c - 3)*(c + 6)
Suppose x - 12 + 9 = 0. Solve -252*g**2 - g**x + 8*g + 29*g**3 + 216*g**2 = 0.
0, 2/7, 1
Let i(o) be the first derivative of o**5/25 + o**4/10 - o**3/15 - o**2/5 + 83. What is n in i(n) = 0?
-2, -1, 0, 1
Let r(z) = -4*z**2 + 89*z + 98. Let j(v) = 2*v**2 - 45*v - 50. Let g(b) = 5*j(b) + 3*r(b). Factor g(l).
-2*(l - 22)*(l + 1)
Let k(p) be the first derivative of -p**7/42 - p**6/15 - 2*p + 5. Let t(f) be the first derivative of k(f). Suppose t(b) = 0. What is b?
-2, 0
Let k be (-22)/484*11/(-2). Factor 0*l**2 + 0 - 1/4*l**4 + k*l**3 + 0*l.
-l**3*(l - 1)/4
Suppose 14 = -h + 4*m, 3*m - 22 = -3*h - m. Suppose h*p = -3*r + 19, -4*p = 8*r - 3*r - 35. Find k, given that 12 + 12*k + p*k**2 + 0 - 2*k**2 = 0.
-2
Suppose 16*j - 20*j + 4 = -2*p, 0 = 2*j - 4*p + 10. Suppose 4/3*d**j - 2/3*d**5 - 8/3*d**2 + 4/3 + 4/3*d**4 - 2/3*d = 0. Calculate d.
-1, 1, 2
Suppose 40*q = 27*q. Let w(g) be the third derivative of 0*g + q*g**6 + 0 - 5*g**2 + 0*g**3 + 0*g**4 + 0*g**5 + 1/945*g**7. Factor w(p).
2*p**4/9
Let m = -17437 - -17439. Solve 3/7*j**m - 1/7*j**3 + 4/7*j + 0 = 0 for j.
-1, 0, 4
Let l = 15 + 23. Find j such that 17*j + j + 22*j**2 + l - 42 = 0.
-1, 2/11
Let j(g) be the first derivative of g**2/2 + 10. Let y(b) = b**2 + 9*b + 25. Let k(n) = j(n) + y(n). Solve k(i) = 0 for i.
-5
Suppose 0 = -4*v + 20, 0*u - 3*u = 5*v - 37. Factor 160*r - 16*r**2 - 144*r + 2*r**u + 2*r**4 - 4*r**3.
4*r*(r - 2)*(r - 1)*(r + 2)
Determine d so that 0*d**5 - 73*d**3 - d**5 + 58*d**3 + 7*d**2 + 9*d**4 = 0.
0, 1, 7
Solve 5*t**2 - 3*t**2 + 33*t + 980 + 107*t + 3*t**2 = 0.
-14
Let l(v) be the second derivative of v**7/7560 - v**6/540 - 13*v**4/12 - 12*v. Let r(y) be the third derivative of l(y). Find u, given that r(u) = 0.
0, 4
Determine r so that -8*r**2 + 5*r + 1893*r**3 + 2*r**4 - 5*r - 1887*r**3 = 0.
-4, 0, 1
Suppose 0 = 3*p + 3, 4*j - 322*p - 7 = -323*p. Determine q, given that 2/3*q**j + 0*q - 2/3 = 0.
-1, 1
Let x = 4367 - 17467/4. Suppose -1/2*m**2 + 3/8*m**3 - 1/8*m + x = 0. Calculate m.
-2/3, 1
Let a(b) be the third derivative of 1/960*b**6 - 1/120*b**5 - 1/24*b**3 + 0*b + 0 + 14*b**2 + 5/192*b**4. Factor a(v).
(v - 2)*(v - 1)**2/8
Solve 4/3*i**4 + 0 + 0*i - 8/3*i**2 + 4/3*i**3 = 0 for i.
-2, 0, 1
Let d be -6*((-6)/4 - -1). Factor d*v**3 - 4*v**5 + 113 + 3*v**5 - 2*v**2 - 113.
-v**2*(v - 1)**2*(v + 2)
Solve 212/3*q - 8/3*q**3 - 44*q**2 - 24 = 0 for q.
-18, 1/2, 1
Let k(l) = l**3 + l**2 - l - 1. Let j(z) = -3*z**4 + 3*z**3 - 6*z + 6. Let r(n) = j(n) - 18*k(n). Factor r(y).
-3*(y - 1)*(y + 2)**3
Let x(p) be the third derivative of -p**7/315 + p**6/45 - p**5/45 - p**4/9 + p**3/3 + p**2 + 1. Solve x(t) = 0.
-1, 1, 3
Suppose -4*h = -u + 153, -h + 69 = -3*h + 3*u. Let v = h - -119/3. Factor -4/3*t**2 - 2/3*t**3 + 4/3 + v*t.
-2*(t - 1)*(t + 1)*(t + 2)/3
Suppose -44 = -4*p - 6*s, p + 40 = 2*s + 30. Factor -p*f**2 - 10/7 + 2/7*f**3 + 22/7*f.
2*(f - 5)*(f - 1)**2/7
Let r = 29 - 27. Suppose 25 = 12*b - 11. Factor -o**r + 0*o - 3/2*o**b + 1/2*o**5 + 0 + 0*o**4.
o**2*(o - 2)*(o + 1)**2/2
Let o be 384/(-576)*3/(-5). Suppose -2/5 + 2/5*i**2 + o*i - 2/5*i**3 = 0. Calculate i.
-1, 1
Suppose 0*x - 4*x - q = -1909, -2*q = -10. Let p be 4/10 - x/(-35). Factor -7*k**2 - 12*k**2 - 12*k**3 - k**2 + p*k - 6*k.
-4*k*(k + 2)*(3*k - 1)
Let i(k) be the first derivative of 6*k**5/35 + k**4 + 22*k**3/21 - 16*k**2/7 - 24*k/7 - 7. Determine g, given that i(g) = 0.
-3, -2, -2/3, 1
Let t = 61 - 69. Let m(v) = -v**3 - 7*v**2 + 9*v + 12. Let z be m(t). Factor -1/6 - 1/6*q**z - q**2 + 2/3*q + 2/3*q**3.
-(q - 1)**4/6
Let y(v) be the third derivative of -v**7/420 + 11*v**6/240 - 11*v**5/30 + 19*v**4/12 - 4*v**3 + 26*v**2 + v. Factor y(x).
-(x - 4)*(x - 3)*(x - 2)**2/2
Suppose -4*o + 22 = 5*j, 0*o - 5*j = 2*o - 6. Let t(k) be the first derivative of -o*k**2 - 4*k + 98*k**3 - 8 + 26*k**2 - 125*k**3. Factor t(c).
-(9*c - 2)**2
Determine t so that 85*t**2 - 135 - 5*t**4 + 45*t**2 + 12*t**4 - 2*t**4 - 140*t + 140*t**3 = 0.
-27, -1, 1
Suppose -55*n = 4 - 4. Let m(j) be the third derivative of n + 0*j**3 + 1/72*j**4 + 7*j**2 + 0*j - 1/720*j**6 - 1/360*j**5. Factor m(x).
-x*(x - 1)*(x + 2)/6
Let o(a) be the second derivative of -a**7/315 + a**6/90 - a**4/18 + a**3/9 - a**2 + 20*a. Let i(b) be the first derivative of o(b). Factor i(d).
-2*(d - 1)**3*(d + 1)/3
Suppose -215*w + 125*w = -810. Let -21/2*g - 3/2*g**2 - w = 0. What is g?
-6, -1
Let g(j) = -12*j + 159. Let p be g(13). Solve 0*u + 0 - 9/2*u**4 - 6*u**p - 3/2*u**2 = 0 for u.
-1, -1/3, 0
Let r = 4241/2 - 2120. Factor -1/2*q**2 + 0 + r*q.
-q*(q - 1)/2
Suppose 