 q be 12/24 + 1/(-3). Let y = q - -11/42. Factor 4/7 + 1/7*s**4 + 4/7*s - 2/7*s**3 - y*s**2.
(s - 2)**2*(s + 1)**2/7
Suppose -9*a**5 - 7*a**5 - 3*a + 8*a**4 + 18*a**5 - 6*a - a - 4 - 4*a**2 + 8*a**3 = 0. Calculate a.
-2, -1, 1
Let h(q) be the first derivative of 1/7*q**4 + 0*q**2 + 0*q + 0*q**3 - 13 + 2/35*q**5. Factor h(s).
2*s**3*(s + 2)/7
Let r(j) = -3*j**2 - 2*j - 2. Let p(s) = s**2 + 6. Let x(w) = -w**2 - 7. Let b(h) = -6*p(h) - 5*x(h). Let q(u) = -2*b(u) + r(u). Suppose q(v) = 0. What is v?
-2, 0
Let c be 1*(-32)/(-12)*(-39)/572*-11. Find x, given that 2/3*x**3 + 8/3*x**5 + 0 + 0*x - 10/3*x**4 + 0*x**c = 0.
0, 1/4, 1
Let y(d) be the second derivative of -d**9/143640 + d**8/21280 - d**7/7980 + d**6/6840 + 7*d**4/3 + 15*d. Let o(i) be the third derivative of y(i). Factor o(b).
-2*b*(b - 1)**3/19
Let l(k) be the third derivative of k**8/2688 - k**7/280 + 11*k**6/960 - k**5/240 - k**4/16 + k**3/6 + 82*k**2. Solve l(y) = 0 for y.
-1, 1, 2
Let d be (-1)/((-1)/1) - 2996/56. Let n = -52 - d. Factor n*x**2 + 1/2 - x.
(x - 1)**2/2
Let d(t) be the second derivative of t**6/120 + t**5/20 - t**4/48 - t**3/6 + 6*t. Factor d(s).
s*(s - 1)*(s + 1)*(s + 4)/4
Let a be (36/35)/(((-9)/(-27))/(50/30)). Factor -a*m**2 + 24/7*m**3 + 0 + 0*m - 4/7*m**4.
-4*m**2*(m - 3)**2/7
Let q(w) be the third derivative of -w**6/120 + 44*w**2. Factor q(v).
-v**3
Let f(a) be the first derivative of a**6/120 + a**5/40 - 14*a**3/3 - 8. Let m(c) be the third derivative of f(c). Factor m(k).
3*k*(k + 1)
Factor 0 - 1/3*p + 1/3*p**2.
p*(p - 1)/3
Let l(r) be the third derivative of r**5/12 - 40*r**4/3 + 2560*r**3/3 + 2*r**2 - 27. Determine y so that l(y) = 0.
32
Let i(m) be the first derivative of 3*m**4/16 - 15*m**3/4 + 18*m**2 - 33*m + 189. Suppose i(j) = 0. What is j?
2, 11
Factor 2/5*j**4 - 56/5 - 54/5*j**2 + 104/5*j + 4/5*j**3.
2*(j - 2)**2*(j - 1)*(j + 7)/5
Let i(r) be the third derivative of 6*r**3 + 0*r + 1/15*r**5 - r**4 - r**2 + 1. Factor i(w).
4*(w - 3)**2
Let p(d) be the second derivative of d**5/5 + 80*d**4/3 + 314*d**3/3 + 156*d**2 + 5*d + 23. Factor p(l).
4*(l + 1)**2*(l + 78)
Let b = 4431 + -4431. Find j, given that 1/6*j**2 - 1/4*j + b + 1/12*j**3 = 0.
-3, 0, 1
Let s(o) = -o + 46. Let u be s(0). Determine h, given that -u*h**2 + h + 2*h**3 + h + 42*h**2 = 0.
0, 1
Let t(g) be the third derivative of g**7/280 - 9*g**6/160 - 11*g**5/80 + 9*g**4/32 + 5*g**3/4 - 24*g**2 + 3. Suppose t(x) = 0. What is x?
-1, 1, 10
Let b(s) be the second derivative of s**5/35 - s**4/21 - 4*s**3/7 - 266*s. Solve b(c) = 0.
-2, 0, 3
Determine l, given that 1706*l + 1 + 20*l**4 + 19 - 1780*l - 2*l**5 + 104*l**2 - 68*l**3 = 0.
1, 2, 5
Let o(k) be the second derivative of -k**4/6 - k**3 - 2*k**2 - 2*k + 2. Factor o(v).
-2*(v + 1)*(v + 2)
Let a(w) = -5*w**3 - w**2 + 2*w - 2. Let s(c) = 4*c**3 - 2*c + 2. Let o(q) = 2*a(q) + 3*s(q). Determine y, given that o(y) = 0.
-1, 1
Find m such that 8*m**5 + 21*m**3 + 16*m**5 + m**4 - 31*m**5 - 25*m**2 + 4*m**5 + 6*m = 0.
-3, 0, 1/3, 1, 2
Let o(k) = -5*k**2 + 5*k + 2. Let p(c) = c**2 + c + 1. Let f(g) = -o(g) + 2*p(g). Let w(j) = 2*j**2 - j. Let q(r) = 6*f(r) - 22*w(r). Factor q(t).
-2*t*(t - 2)
Let d be 2*(476/(-1568) + (-3)/(-7)). Let m(p) be the third derivative of 0*p - d*p**4 + 0 - 1/560*p**7 + 1/80*p**6 + p**3 + 0*p**5 + 3*p**2. Factor m(h).
-3*(h - 2)**3*(h + 2)/8
Let o(g) = 217*g + 222. Let h be o(-1). Factor 0*v**2 + 9/2*v**3 + 0 - 3*v**4 - 3/2*v**h + 0*v.
-3*v**3*(v - 1)*(v + 3)/2
Suppose -5*k = -0*k - 30. Factor 14*v - k*v**3 - 10*v + 2*v**3.
-4*v*(v - 1)*(v + 1)
Let h(z) = -z**2 + 6*z + 26. Let n be h(-12). Let l = -563/3 - n. Factor l*o - 2/3 - 7/3*o**2 + 2/3*o**3.
(o - 2)*(o - 1)*(2*o - 1)/3
Let w = 1503 + -1500. Let d = -3 + 7/2. Determine h so that 9/2*h**2 + 1 - 7/2*h + d*h**4 - 5/2*h**w = 0.
1, 2
Let z(f) be the second derivative of -f**7/189 - f**6/15 + 11*f**5/30 - 35*f**4/54 + 4*f**3/9 + 21*f - 1. Solve z(s) = 0.
-12, 0, 1
Let u(r) be the first derivative of -27/2*r**2 + 0*r - 33/2*r**4 - 4 - 24/5*r**5 - 24*r**3 - 1/2*r**6. Solve u(g) = 0.
-3, -1, 0
Let b(l) be the first derivative of l**4/6 - 52*l**3/9 + 401. What is v in b(v) = 0?
0, 26
Let q(w) = -w + 7. Let j be q(7). Let n be 36/(-9)*(j - 1). Factor n*u - 3 + 3 + 9*u**3 - 12*u**2.
u*(3*u - 2)**2
Let i(o) = -26*o - 102. Let n be i(-4). Let f(y) be the second derivative of -1/12*y**4 - 1/4*y**3 - 7*y - 1/4*y**n + 0. Determine u so that f(u) = 0.
-1, -1/2
Factor 3/2*d + 7/10 + 1/10*d**3 + 9/10*d**2.
(d + 1)**2*(d + 7)/10
Suppose 0*i - 4*a - 4 = 4*i, 2*i - a = 7. Let x(f) be the first derivative of -2/15*f**3 + 0*f**i + 2/5*f - 3. Let x(l) = 0. What is l?
-1, 1
Suppose 3*d - 9 = 3*h, 112*d = 115*d + 2*h - 9. Let -2/9*c**2 + 0 - 2/9*c**d + 0*c = 0. Calculate c.
-1, 0
Let b(s) be the second derivative of s**4/30 - 48*s**3/5 + 300*s. Factor b(v).
2*v*(v - 144)/5
Let v = 44 + -42. Factor 2*b**4 - 173*b**3 + 500*b + 300*b**v + 2*b**4 + 233*b**3.
4*b*(b + 5)**3
Let h be (-18)/(-7) - (-36)/(-63). Factor -20*o - 31 - 20*o - 4*o**h - 69.
-4*(o + 5)**2
Let p(x) be the second derivative of 9/2*x**2 + 9*x + 0 + 0*x**3 - 1/84*x**4 - 1/105*x**5 - 1/420*x**6. Let l(j) be the first derivative of p(j). Factor l(w).
-2*w*(w + 1)**2/7
Let v = 7914 + -7912. Factor 1/2*n**2 + v - 2*n.
(n - 2)**2/2
Let v(o) = -6*o - 4*o**2 - 3*o**3 + 2*o + 2*o. Let u be v(-2). Let -3*z + u - 3*z**2 + 3*z + 0*z**2 = 0. Calculate z.
-2, 2
Let k = 17 - 11. Let w = 68/11 - k. Solve -6/11*z + w*z**3 - 4/11 + 0*z**2 = 0 for z.
-1, 2
Let f be 7 + 42/(-18) + -4. Let a(g) be the third derivative of -f*g**3 + 1/12*g**4 + 7/10*g**5 + 0 + 0*g + g**2. Factor a(b).
2*(3*b + 1)*(7*b - 2)
Let x(y) = y**3 - 4*y**2 + y - 3. Let b be x(4). Suppose -5 = -u - b. Factor 0*h + 2*h**4 - h**5 + 0*h + u*h**3 - 5*h**3.
-h**3*(h - 1)**2
Let b(r) be the first derivative of 4/25*r**5 + 0*r**3 - 2/5*r**4 - 4/5*r + 4 + 4/5*r**2. Solve b(t) = 0.
-1, 1
Suppose -6*n + 2*n = -16. Factor 2*d - d**n + 0 + 0*d**3 - 4*d**3 - 5 + 2*d + 6*d**2.
-(d - 1)**2*(d + 1)*(d + 5)
Let b(p) be the third derivative of -2*p**7/735 - 11*p**6/210 - 31*p**5/105 - p**4/2 - 945*p**2. What is t in b(t) = 0?
-7, -3, -1, 0
Suppose -30 = 2*m + 8*m. Let c be m/(-10)*8/6. Determine r, given that -2/5 - 6/5*r - c*r**3 - 6/5*r**2 = 0.
-1
Let b be (4 - 4)*(3 + 2 + -4). Let m be ((-1)/(-8))/((-1)/(-6)). Suppose m*o**3 - 3/2*o**2 + b*o + 0 = 0. What is o?
0, 2
Let o(r) be the first derivative of r**6/9 - 3*r**4/2 - 8*r**3/9 + 4*r**2 - 315. Let o(h) = 0. What is h?
-2, 0, 1, 3
Let p(z) = 2*z**2 - 39*z + 19. Let r be p(27). Let y be 2/6 - (4 - r/96). Let -3/4*a**2 + 3/4*a**3 - y*a**5 + 0*a + 0 + 3/4*a**4 = 0. Calculate a.
-1, 0, 1
Let j(t) be the first derivative of -t**6/6 + 11*t**5/5 - 43*t**4/4 + 73*t**3/3 - 28*t**2 + 16*t - 231. Suppose j(d) = 0. What is d?
1, 4
Let o = 474 + 378. Factor o*b - 852*b - 8 - 2*b**3 + 6*b**2.
-2*(b - 2)**2*(b + 1)
Let f = 54451/660 + -165/2. Let i(o) be the third derivative of f*o**6 + 0*o + 0*o**3 - 1/1155*o**7 - 10*o**2 + 1/330*o**5 + 0 - 1/132*o**4. Factor i(h).
-2*h*(h - 1)**2*(h + 1)/11
Let p(x) be the third derivative of x**9/40320 + x**8/8960 - x**7/6720 - x**6/960 + x**4/6 - 3*x**2. Let z(j) be the second derivative of p(j). Factor z(g).
3*g*(g - 1)*(g + 1)*(g + 2)/8
Let j(o) be the third derivative of o**8/840 + 2*o**7/105 - 11*o**6/300 + 77*o**2. Solve j(v) = 0.
-11, 0, 1
Suppose k + 0*k = -2. Let p be ((-2)/4)/(k/12). Find v, given that -7*v**3 + 5*v**3 + 8*v**2 - 9*v + v + 0*v**p = 0.
0, 2
Let z(v) be the third derivative of -2*v**7/105 + 11*v**6/30 - 3*v**5/5 - 11*v**4/6 + 20*v**3/3 + 23*v**2 - v. Factor z(x).
-4*(x - 10)*(x - 1)**2*(x + 1)
Let a(v) be the third derivative of v**10/302400 - v**9/30240 - 7*v**5/20 - 7*v**2. Let h(u) be the third derivative of a(u). Determine c, given that h(c) = 0.
0, 4
Let a(n) be the second derivative of n**9/7560 + n**8/1680 + n**7/1260 - n**4 - 17*n. Let i(u) be the third derivative of a(u). Factor i(z).
2*z**2*(z + 1)**2
What is c in -1/5*c**2 + 0 + c = 0?
0, 5
Suppose 6*t + 191 = -3*z + 2*t, t + 5 = 0. Let l = z - -57. Factor 2/7*d + 0*d**2 + l - 2/7*d**3.
-2*d*(d - 1)*(d + 1)/7
Let x be ((-1176)/(-48) + -23)*(1 - -1)*1. Factor 18/11*k + 12/11*k**2 + 2/11*k**x + 8/11.
2*(k + 1)**2*(k + 4)/11
Let b = 61707/2