**2 + 1/15*v**5 + 0*v**4 + 0*v**6. What is d in q(d) = 0?
-1, 0, 1
Let c be (24/9)/((-2)/(-3)). Let f = c + -2. Suppose 163*p**4 - 169*p**4 - 6*p - 6*p**f + 14*p**3 + 4 + 0*p**3 = 0. What is p?
-2/3, 1
Let v(l) be the first derivative of 0*l**2 + 1/10*l**5 - 11*l + 5 + 0*l**3 + 1/6*l**4. Let u(b) be the first derivative of v(b). Let u(k) = 0. Calculate k.
-1, 0
Let m(h) be the first derivative of h**4/2 - 14*h**3/3 + 14*h**2 - 16*h + 31. Factor m(f).
2*(f - 4)*(f - 2)*(f - 1)
Suppose n - 181 = 3*l, l + 185 = n - l. Factor -28*v**3 + n*v - 38*v - 36*v**2 + 48 + 5*v.
-4*(v - 2)*(v + 3)*(7*v + 2)
Suppose -2*l - 3*c + 12 + 6 = 0, 2*l + 4*c = 14. Let j(s) = -4*s + 2*s + 19 - 5*s**2 - l. Let o(q) = -q + 1. Let p(r) = j(r) - 4*o(r). Factor p(n).
-n*(5*n - 2)
Let j be (-1164)/97*((-33)/30 + 1). Factor -j*z**3 - 2/5*z**5 + 0 + 0*z + 6/5*z**4 + 2/5*z**2.
-2*z**2*(z - 1)**3/5
Let c(j) = 10*j**4 + 262*j**3 - 484*j**2 + 226*j. Let a(q) = 2*q**4 + 53*q**3 - 97*q**2 + 45*q. Let b(v) = -14*a(v) + 3*c(v). Factor b(l).
2*l*(l - 1)**2*(l + 24)
Suppose -5 = -c - 1. Let l(h) = h**2 - 2*h**2 - 53 + 51 + 7*h. Let u(i) = -i**2 + 8*i - 2. Let z(d) = c*u(d) - 5*l(d). Factor z(v).
(v - 2)*(v - 1)
Let w = 48 - 45. Let m be ((-2)/(-10))/(7 + -6). Suppose m*z**w - 1/5*z + 0 + 0*z**2 = 0. Calculate z.
-1, 0, 1
Let k = -15 - -9. Let d be (k/(-4))/((-6)/(-8)). Factor 2/5*x**d + 0 - 2/5*x.
2*x*(x - 1)/5
Let y = -105336/5 - -21068. Solve -y*x**3 - 1/10*x**4 - 7/10*x**2 + 0*x + 0 = 0.
-7, -1, 0
Let g(k) = -k**3 + k**2 + 4*k + 5. Let f(h) = 4*h**3 + 2*h**3 - 4*h**3 - 4*h - 4. Let m(t) = 3*f(t) + 2*g(t). Factor m(x).
2*(x - 1)*(x + 1)*(2*x + 1)
Suppose -25*k = -28*k + 9. Let n(z) = 4*z - 12. Let y be n(k). Let 0 + 2/3*d**3 + y*d**2 - 2/3*d = 0. What is d?
-1, 0, 1
Let h = 21125 - 21120. Determine t, given that -1/7*t**h + 0*t + 4/7*t**2 + 0 + 5/7*t**4 - 8/7*t**3 = 0.
0, 1, 2
Let x = 38 - 19. Let z = -17 + x. Factor m + 1/2 + 1/2*m**z.
(m + 1)**2/2
Let m(z) be the first derivative of 4*z**3/9 + 20*z**2/3 + 12*z - 108. Determine y, given that m(y) = 0.
-9, -1
Let a(z) be the second derivative of -z**9/3780 - z**8/560 - z**7/210 - z**6/180 + 3*z**4/4 - 27*z. Let g(s) be the third derivative of a(s). Factor g(k).
-4*k*(k + 1)**3
Let i(d) be the third derivative of d**9/22680 + d**8/2520 + d**7/945 - d**4/2 + d**2. Let g(y) be the second derivative of i(y). What is o in g(o) = 0?
-2, 0
Let f = 21 - 19. Factor 68*y**3 - 10*y**2 - 2*y**f - 8*y**5 - 32*y - 52*y**4 + 20*y**5 + 16.
4*(y - 2)*(y - 1)**3*(3*y + 2)
Let f(l) be the second derivative of -1/36*l**6 - 9*l + 1/18*l**3 + 3/40*l**5 + 0 + 1/252*l**7 + 0*l**2 - 7/72*l**4. What is z in f(z) = 0?
0, 1, 2
Let q be 5/(-4 + (-85)/(-20)). Suppose 3*n - 7*n = -p + q, p + 4*n = -12. Determine l so that -5*l**2 - 1/2*l**5 - 5/2*l - 5/2*l**p - 5*l**3 - 1/2 = 0.
-1
Let f(h) = h**3 + 2*h**2 - 3*h + 2. Let z be f(-3). Find a, given that -1 - 3 - 320*a**3 + 44*a - 4 + 32*a**z = 0.
-2/5, 1/4
Let x(j) be the third derivative of -j**9/1008 + 3*j**8/1120 - j**6/240 + j**3/3 - 9*j**2. Let r(h) be the first derivative of x(h). Factor r(d).
-3*d**2*(d - 1)**2*(2*d + 1)/2
Suppose 0 = 2595*o - 2596*o + 3. Factor 7/5*m + 2/5*m**2 + 4/5 - 1/5*m**o.
-(m - 4)*(m + 1)**2/5
Let a = -140 + 140. Let v(j) be the second derivative of 1/14*j**4 + 0 - 3/70*j**5 + a*j**2 + 7*j - 1/21*j**3 + 1/105*j**6. Find y, given that v(y) = 0.
0, 1
Let b(u) be the second derivative of u**5/5 - 5*u**4 + 32*u**3 + 128*u**2 + 16*u - 4. Let b(d) = 0. What is d?
-1, 8
Let j(h) = h**2. Let b(y) = -y**3 - 35*y**2 - 432*y - 1728. Let x(k) = -b(k) + j(k). Solve x(w) = 0.
-12
Let l = -88 + 93. Let f be (-12)/(-2) + 3/(-1). Determine n, given that 12*n**2 + 0*n**2 - 5*n - 15 + l*n**3 + f*n**2 = 0.
-3, -1, 1
Let g(b) be the third derivative of -b**5/600 + 7*b**4/80 - 19*b**3/30 + 310*b**2. Factor g(m).
-(m - 19)*(m - 2)/10
Let j(s) = s**4 - s**2 + 2*s - 1. Let l(q) = 6*q**4 - 90*q**3 + 239*q**2 - 228*q + 74. Let t(z) = -j(z) + l(z). Factor t(u).
5*(u - 15)*(u - 1)**3
Let d = -32 - -54. Suppose -5*c + d = 2. Factor -18/5*f**c - 4/5*f**2 + 0*f - 22/5*f**3 + 0.
-2*f**2*(f + 1)*(9*f + 2)/5
Let y(w) be the third derivative of 2/45*w**6 + 1/504*w**8 + 0*w**4 - 2/45*w**5 - 1/63*w**7 + 0*w**3 + 12*w**2 + 0 + 0*w. Find k, given that y(k) = 0.
0, 1, 2
Let g(h) be the first derivative of 0*h + 7/3*h**3 - 1/30*h**4 + 0*h**2 - 5 + 3/100*h**5 - 1/225*h**6. Let r(l) be the third derivative of g(l). Factor r(j).
-2*(j - 2)*(4*j - 1)/5
Let i(z) = -z. Let m = -7 + 3. Let j be i(m). Solve 5*x**4 + 6*x**4 - 4*x**j - 6*x**2 + 2*x**4 + 3*x**3 = 0.
-1, 0, 2/3
Suppose 2*g = -109*p + 104*p + 23, p - 5*g + 17 = 0. Suppose -12/5 - 3/5*j**2 - p*j = 0. What is j?
-4, -1
Let 49/4 + 105/2*f + 57/4*f**2 + f**3 = 0. Calculate f.
-7, -1/4
Let j(v) = 2*v**2 + 6*v. Let o(x) be the second derivative of -x**4/6 - 5*x**3/6 + 5*x. Let f(k) = 3*j(k) + 4*o(k). Determine r so that f(r) = 0.
-1, 0
Let x(t) be the third derivative of -2*t**7/105 + t**6 + 97*t**5/15 + 11*t**4 + 65*t**2 + 2. Factor x(q).
-4*q*(q - 33)*(q + 1)*(q + 2)
Factor -7/3*c**4 - 1/3*c**5 + 9*c**3 - 29/3*c**2 + 0 + 10/3*c.
-c*(c - 1)**3*(c + 10)/3
Let w be 51/2*(-14)/21. Let c = w - -19. Factor -6*a**5 + c*a**4 - 2*a**5 - 2*a**2 + 2*a**3 + 6*a**5.
-2*a**2*(a - 1)**2*(a + 1)
Let h be 0*1/3*1. Let l = 110/7 - 213/14. Factor 1/2*i + h - l*i**3 + 0*i**2.
-i*(i - 1)*(i + 1)/2
Let p(x) = 82*x - 78. Let q(t) = -t**2 - 85*t + 80. Let s(c) = -3*p(c) - 2*q(c). Suppose s(h) = 0. What is h?
1, 37
Let j(f) be the third derivative of -f**6/36 + 2*f**5/15 + 11*f**4/36 - 2*f**3/3 + 345*f**2 - 2*f. Factor j(k).
-2*(k - 3)*(k + 1)*(5*k - 2)/3
Let r(y) be the first derivative of -39*y**5/25 - 3*y**4 - 21*y**3/10 - 3*y**2/5 - 9*y - 19. Let c(s) be the first derivative of r(s). Factor c(z).
-3*(2*z + 1)**2*(13*z + 2)/5
Determine h, given that 2/3 + 0*h**4 - 5/3*h**3 + 1/6*h**5 - 5/2*h + 10/3*h**2 = 0.
-4, 1
Let u(y) = y**4 + 8*y**3 - 37*y**2 + 62*y - 36. Let j(g) = -4*g**4 - 23*g**3 + 111*g**2 - 187*g + 108. Let s(p) = 2*j(p) + 7*u(p). Factor s(n).
-(n - 3)**2*(n - 2)**2
Let b(j) be the third derivative of 1/300*j**6 - 1/840*j**8 + 0 + 54*j**2 + 0*j**4 + 0*j**3 - 1/150*j**5 + 1/525*j**7 + 0*j. Factor b(p).
-2*p**2*(p - 1)**2*(p + 1)/5
Let p(u) = u**3 - 7*u**2 - 8*u + 2. Let c be p(8). Suppose 0 = 5*f - c*f - 24. Factor -2*n**3 + n - f*n**2 - n**4 + 11*n**2 - n**2 + n**5 - 1.
(n - 1)**3*(n + 1)**2
Suppose 5*b - b + 114 = -y, 2*b - 526 = 5*y. Let m = y - -108. Factor 0 - m*d**2 - 2*d**3 + 0*d - 1/2*d**4.
-d**2*(d + 2)**2/2
Factor -18 - 39/2*o - 3/2*o**2.
-3*(o + 1)*(o + 12)/2
Let h(v) be the third derivative of 0*v**5 + 5/24*v**4 + 0*v**3 - 1/24*v**6 + 0 + 0*v - 17*v**2. Factor h(k).
-5*k*(k - 1)*(k + 1)
Find x, given that 6*x - 5/2*x**3 - 2 - 3/2*x**2 = 0.
-2, 2/5, 1
Let c(k) be the second derivative of 3*k**2 - 21/10*k**5 + 0 + 9/2*k**3 + 24*k + 3/4*k**4. Factor c(r).
-3*(r - 1)*(2*r + 1)*(7*r + 2)
Let w(u) be the first derivative of -4*u**5/5 - 20*u**4 - 76*u**3/3 + 26. Suppose w(s) = 0. Calculate s.
-19, -1, 0
Factor -130*v**3 - 260*v**2 + 64*v**3 + 71*v**3.
5*v**2*(v - 52)
Let u(i) be the first derivative of -4*i**3/9 + 4*i**2/3 - 26. Factor u(h).
-4*h*(h - 2)/3
Let o(i) = -40*i**3 + 15*i**2 + 25*i + 25. Let z(x) be the third derivative of x**6/120 - x**5/60 - x**3/6 - 15*x**2. Let l(m) = -o(m) - 25*z(m). Factor l(t).
5*t*(t - 1)*(3*t + 5)
Let o(u) be the first derivative of -5*u**6/36 - 7*u**5/6 - 25*u**4/8 - 5*u**3/2 - 68. Solve o(d) = 0 for d.
-3, -1, 0
Solve 10/3*k**4 + 14/3*k**3 + 2/3*k**5 - 2/3*k**2 - 16/3*k - 8/3 = 0 for k.
-2, -1, 1
Let p = -45 - -49. Find n such that 113*n + 4*n**2 + 0*n**3 - 113*n - p*n**3 = 0.
0, 1
Let g(m) be the second derivative of -1/72*m**4 - 1/9*m**3 - 23*m + 0 - 1/4*m**2. Let g(z) = 0. Calculate z.
-3, -1
Let a(r) be the first derivative of 4*r**5/5 + 6*r**4 + 16*r**3 + 20*r**2 + 12*r + 10. Factor a(v).
4*(v + 1)**3*(v + 3)
Let -49/4*m**5 + 0*m + 6*m**3 + m**2 + 21/4*m**4 + 0 = 0. Calculate m.
-2/7, 0, 1
Suppose 0*f + f = 27. Let x be 9/f - 5/(-3). What is q in -q**4 - 29 + 28 + 3*q**2 - q**x = 0?
-1, 1
Let a be 6/3 + 0/(-2). Factor 3*j**2 + 8*j**a + 28*j + 12 - 3*j**2.
4*(j + 3)*(2*j + 1)
Suppose 5*k + 3*m = 3, -3*k - 4 + 1 = -3*m. Let q(l) be th