2*k**4 + 6*k**3. Let m(r) = -r**5 - 5*r**4 + 6*r**3 + 5*r**2 - 5*r. Let a(z) = 3*h(z) - 2*m(z). Factor a(l).
2*l*(l - 2)**2*(l - 1)*(l + 1)
Let y(q) = -q**3 + 7*q**2 + 7*q + 8. Let w be y(8). Suppose w = -14*u + 16*u - 8. Let 0 - 8/3*t - u*t**2 + 20/3*t**3 = 0. What is t?
-2/5, 0, 1
Determine w so that 0 - 11/4*w**3 - 1/2*w**2 + 0*w - 9/4*w**4 = 0.
-1, -2/9, 0
Let z = 28 + -94. Let m = -66 - z. Factor -2/5*p**2 + 2/5*p**4 + 0 + 1/5*p - 1/5*p**5 + m*p**3.
-p*(p - 1)**3*(p + 1)/5
Let x be (-77)/(-21) - (-4)/(-6). Let -x*y - 8 + y - 10*y - 4*y**2 = 0. Calculate y.
-2, -1
Let z(a) = a**2 - 12*a - 8. Let c be z(6). Let s be (-4)/22 + (-4936)/c. Factor -4 + 4*g**2 + 116*g - s*g - 4*g**3 + 0*g**2.
-4*(g - 1)**2*(g + 1)
Let g = -617 - -4937/8. Factor 0 - g*i**2 + 3/8*i**3 + 1/8*i**5 + 0*i - 3/8*i**4.
i**2*(i - 1)**3/8
Let g(i) be the first derivative of i**3 + 87*i**2 - 44. Factor g(j).
3*j*(j + 58)
Let o be 10 + -7 + (-10)/10. Let n(i) be the third derivative of 0*i - 1/60*i**4 + 14*i**o + 0 - 2/15*i**3 + 1/150*i**5. Factor n(y).
2*(y - 2)*(y + 1)/5
Factor -f**4 - 23*f - 17 + 3*f**3 + 9 + 10 + 10 + 9*f**2.
-(f - 4)*(f - 1)**2*(f + 3)
Suppose 2 - 1 = v, 5*d - 56 = 4*v. Suppose 4*r + d = p, -4*p + r + 22 = -2*r. Factor -19*t**3 + 3*t**4 + t**3 - 13*t**p - 12*t**2 + 6*t**2 + 2*t.
-2*t*(t + 1)**2*(5*t - 1)
Solve 10*w**5 - 35*w**4 + 5*w + 5*w**2 - 13*w**2 + 45*w**3 - 17*w**2 = 0 for w.
0, 1/2, 1
Let j(a) be the first derivative of 2*a**5/35 + 9*a**4/14 + 16*a**3/7 + 20*a**2/7 + 92. Suppose j(h) = 0. Calculate h.
-5, -2, 0
Suppose 116 = 6*h - 4. What is v in -8 + 5*v**3 + 5*v**4 - h*v**2 + 15 - 20*v - 7 = 0?
-2, -1, 0, 2
Let 24*n**4 + 21*n**5 + 3*n**3 + 13*n**3 + 4*n**3 - 17*n**5 = 0. Calculate n.
-5, -1, 0
Let r(x) be the first derivative of x**8/1680 + x**7/280 + x**6/180 - 14*x**3/3 + 16. Let v(u) be the third derivative of r(u). Factor v(f).
f**2*(f + 1)*(f + 2)
Let u = 569 + -565. Factor -2/11*s**u + 0 + 0*s**3 + 0*s**2 + 0*s.
-2*s**4/11
Let z = 17 + -15. Let s be 180/48 + z*1/8. Solve 0 + 16/11*x**2 + 10/11*x**3 + 8/11*x + 2/11*x**s = 0.
-2, -1, 0
Let u = 6625/4 + -1654. Factor -1/4*p**3 + u*p**2 - 2*p + 0.
-p*(p - 8)*(p - 1)/4
Let k(x) = -x**3 - 2*x**3 - 7*x**2 - 8*x + 21 - 25. Let j(y) = 4*y**3 + 8*y**2 + 8*y + 4. Let w(u) = 4*j(u) + 6*k(u). Factor w(f).
-2*(f + 1)*(f + 2)**2
Let a(z) be the second derivative of -z**8/5040 - 2*z**7/945 - z**6/108 - z**5/45 + 4*z**4/3 + 5*z. Let b(g) be the third derivative of a(g). Factor b(n).
-4*(n + 1)**2*(n + 2)/3
Let g(c) = c**3 - 14*c**2 + 26*c - 21. Let z be g(12). Let a(y) be the first derivative of -1/15*y**5 + 0*y - 1/4*y**4 + 0*y**2 - 2 - 2/9*y**z. Factor a(m).
-m**2*(m + 1)*(m + 2)/3
Let k = 18 + -16. Let d = 1 + k. Find s such that 12*s**3 + 10*s + 5 + 2*s**d - 40*s**2 + 35*s**4 - 20*s**5 - 4*s**3 = 0.
-1, -1/4, 1
Let m(k) = k**2 + 3*k. Suppose 20 = -0*x + 3*x - 4*h, -25 = 3*x + 5*h. Let b be m(x). Determine r so that -3/7*r**2 + b - 6/7*r**3 + 0*r = 0.
-1/2, 0
Suppose 163 + 237 = -5*q. Let m be (-9)/(-4)*q/(-30). Factor 3*u**3 - 4*u - 4*u - u - 4*u**3 + m*u**2.
-u*(u - 3)**2
Let i(u) = 2*u**3 + 17*u**2 + 19*u + 12. Let o be i(-7). Let g be (-4)/(-9)*o/52. Determine q so that 2/9*q**5 + 0*q + 8/9*q**4 + 0 - g*q**3 - 8/9*q**2 = 0.
-4, -1, 0, 1
Let h = 710/61 + -3872/427. Factor 12/7*v + h - 6/7*v**2.
-6*(v - 3)*(v + 1)/7
What is t in 108*t**3 + 54*t**2 + 24*t**2 + 14*t**4 - 10*t**4 + 26*t**2 = 0?
-26, -1, 0
Let y(j) = -3*j**2 + 4*j - 1. Let a(o) = 16*o**2 - 20*o + 4. Suppose n + n + 8 = 2*x, 0 = 3*n + 5*x + 12. Let l(w) = n*a(w) - 22*y(w). Factor l(f).
2*(f - 3)*(f - 1)
Let 21*i + 49/12*i**4 - 146/3*i**2 - 8/3 + 105/4*i**3 = 0. What is i?
-8, 2/7, 1
Let n(i) = i**2 + 11*i + 32. Let r be n(-8). Suppose 5*l - 5 = -6*f + 5*f, 3*l = 2*f + 16. Determine y so that -1 - 4*y**4 + r*y**2 + 2*y**3 - 3 - l*y**3 = 0.
-1, 1
Let z(g) be the second derivative of -g**7/21 + 2*g**6/5 - 13*g**5/10 + 2*g**4 - 4*g**3/3 - 4*g + 9. Factor z(j).
-2*j*(j - 2)**2*(j - 1)**2
Suppose -11*t + 10*t = -2. Let f be (((-16)/(-20))/t)/(2/10). Suppose 0*a + 0 + 0*a**f - 3/7*a**4 - 2/7*a**5 - 1/7*a**3 = 0. What is a?
-1, -1/2, 0
Suppose 2*w - 9 = -3. Suppose -11 + w = -4*s + 2*a, -5*a = 20. Find j, given that s*j + 0 - 4/3*j**2 - 2/3*j**3 = 0.
-2, 0
Let u = 15055/3 + -5018. Let -c - 1/3*c**3 + u + c**2 = 0. Calculate c.
1
Let l(p) = -p**2 + 20*p - 94. Let c be l(11). Let f(v) be the second derivative of 0*v**2 - 1/50*v**c - 8*v + 0*v**4 + 1/15*v**3 + 0. Factor f(z).
-2*z*(z - 1)*(z + 1)/5
Let l = -534 + 538. Let k(v) be the first derivative of 2/9*v**3 + 1/18*v**l - v**2 - 13 + 10/9*v. Suppose k(q) = 0. Calculate q.
-5, 1
Let h(y) be the third derivative of y**8/672 + 17*y**7/420 + 3*y**6/8 + 9*y**5/10 - 9*y**4/2 + 2*y**2 + 19*y. Determine v, given that h(v) = 0.
-6, 0, 1
Let a(t) be the second derivative of 1/2*t**3 + 0 + 1/4*t**5 - 1/30*t**6 - 10*t + 0*t**2 - 7/12*t**4. Factor a(q).
-q*(q - 3)*(q - 1)**2
Let -63/5*s**2 - 6/5*s - 57/5*s**3 + 0 = 0. Calculate s.
-1, -2/19, 0
Suppose 381*g - 525 - 1380 = 0. Find n such that -6/5*n**2 + 15*n**4 + 3/5*n**3 + 36/5*n**g + 0 + 0*n = 0.
-2, -1/3, 0, 1/4
Let n = -8527 + 42637/5. Factor n*x**3 - 4/5 + 2*x - 8/5*x**2.
2*(x - 2)*(x - 1)**2/5
Let k(g) be the second derivative of 1/12*g**3 - 1/36*g**4 - 1/12*g**2 + 6*g + 0. Factor k(p).
-(p - 1)*(2*p - 1)/6
Let r(h) = 6*h + 22. Let d be r(-3). What is u in 3*u**4 - 13*u**d - 5 + 5*u + 10*u**2 + 0*u**4 - 10*u**3 + 5*u**5 + 5*u**4 = 0?
-1, 1
Let q(h) = -h**2 + 3*h + 13. Let u be q(-2). Let o(x) be the first derivative of -2/3*x**u - 2*x - 5 - 2*x**2. Let o(v) = 0. Calculate v.
-1
Let z = -119 + 128. Suppose -z*m + 2*m = -m. Determine b so that 0*b + 1/2*b**4 + m*b**2 + 0 - 1/2*b**3 = 0.
0, 1
Let n = 2047 + -2045. Let -1/2*f**3 + 0 - 1/2*f**n + 0*f = 0. Calculate f.
-1, 0
Let q = 321 + -314. Let k(v) be the third derivative of 1/100*v**6 + 0*v**q + 0*v**3 - 5*v**2 + 0*v - 1/560*v**8 + 0 - 1/40*v**4 + 0*v**5. Factor k(x).
-3*x*(x - 1)**2*(x + 1)**2/5
Let n(p) be the first derivative of 12/25*p**5 + 7/5*p**4 + 32/15*p**3 + 9/5*p**2 + 4/5*p - 11 + 1/15*p**6. Factor n(b).
2*(b + 1)**4*(b + 2)/5
Let s(u) be the second derivative of -u**5/80 - 11*u**4/24 + 47*u**3/24 - 3*u**2 - 12*u - 4. What is d in s(d) = 0?
-24, 1
Factor 0 - 3/4*m**2 + 9/8*m**4 - 3/8*m**3 + 0*m.
3*m**2*(m - 1)*(3*m + 2)/8
Suppose -17*c = -4 - 30. Factor -2*s**c + 1 + s**4 + 592*s - 592*s.
(s - 1)**2*(s + 1)**2
Let s(t) be the second derivative of -21/20*t**5 + 12*t**2 + 9/2*t**4 + 1/10*t**6 - 10*t**3 + 0 + 4*t. Find x, given that s(x) = 0.
1, 2
Let 0*z**2 + 0*z**4 - 2/19*z**5 + 0*z + 2/19*z**3 + 0 = 0. What is z?
-1, 0, 1
Determine p so that 6*p**4 + 7 - 7*p**4 - 3 - 46*p**3 + 13*p**4 - 4*p**2 - 22*p**5 + 38*p**5 + 18*p = 0.
-2, -1/2, -1/4, 1
Solve -35*t**3 - 10*t**4 + 96*t**5 + 100*t**2 - 95*t - 91*t**5 + 30 + 5*t**3 = 0 for t.
-3, 1, 2
Let o(r) be the third derivative of -r**8/1008 - 2*r**7/315 + r**6/120 + r**5/18 - r**4/9 + 20*r**2. Find j, given that o(j) = 0.
-4, -2, 0, 1
Factor 0 - 1/3*t**3 - 71/6*t**2 + 6*t.
-t*(t + 36)*(2*t - 1)/6
Let z be (-3)/(10/(-6)*(-10)/(-50)). Factor -10*p**4 + 6*p + z*p**2 + 7*p**4 + 0*p + 0*p**2.
-3*p*(p - 2)*(p + 1)**2
Let t(w) = 13*w**3 - w**2 - 9*w. Let s(h) be the second derivative of -3*h**5/20 + h**3/3 + h. Let j(c) = 18*s(c) + 4*t(c). Factor j(m).
-2*m**2*(m + 2)
Factor -1/2*u**3 - 1/4*u**4 + 0 + 0*u + 0*u**2.
-u**3*(u + 2)/4
Let t(m) be the third derivative of -m**6/90 + 11*m**5/45 + 25*m**4/18 + 26*m**3/9 + 38*m**2. Solve t(z) = 0 for z.
-1, 13
Let o = 12109/2 - 6053. Factor -o - 1/2*d**2 - 2*d.
-(d + 1)*(d + 3)/2
Let g = -170 + 51. Let j be g/14 + 7 - 6/(-4). Suppose 1/5 + j*v - 1/5*v**2 = 0. What is v?
-1, 1
Let o = 1216 + -1216. Factor 1/2*f - 1/2*f**4 + 1/2*f**2 + o - 1/2*f**3.
-f*(f - 1)*(f + 1)**2/2
Suppose -18119*k + 18101*k = -90. Solve 8/3*x**2 - 2/3*x - 2/3*x**k - 4/3 + 4/3*x**3 - 4/3*x**4 = 0 for x.
-2, -1, 1
Solve 10*s**4 + 3*s**4 - 8*s**4 + 13*s**3 + 7*s**2 - s**5 = 0 for s.
-1, 0, 7
Suppose -6 - 10 = -2*d. Let k(y) = y**2 - 10*y + 20. Let u be k(d). Factor 4/5*s**3 - 8/5*s + 6/5*s**2 - 2/5*s**u - 8/5.
-2*(s - 2)**2*(s + 1)**2/5
Let f = 11/48 - 1/6. Let a(x) be the first derivative of 0*x**2 + 0*x**3 - 5 + 0*x - f*x**4. Factor a