n - 2)*(n - 1)**2/21
Let s(h) = 5*h**4 + 15*h**3 + 5. Let n(u) = -4*u**4 - 15*u**3 + u**2 - 6. Let q(a) = -5*n(a) - 6*s(a). Factor q(r).
-5*r**2*(r + 1)*(2*r + 1)
Let g(z) be the first derivative of z**5/150 + z**4/60 - 2*z**3/15 - z**2/2 + 3. Let b(h) be the second derivative of g(h). Let b(w) = 0. Calculate w.
-2, 1
Let j = -1 + 3. Suppose -5*v + 12 = -j*v. Factor 0*m**2 - 2*m**2 + v*m**2 + 2*m**3 - 2 - 2*m.
2*(m - 1)*(m + 1)**2
Let t(j) = -j**2 - 2*j + 3. Let d be t(0). Let a(q) = 2*q**2 - 4*q - 1. Let i be a(d). Suppose -h**3 + h**4 + 0*h + 0 + 0*h**2 - 1/4*h**i = 0. What is h?
0, 2
Let m be (-2)/(-6) - 8/(-3). Let k = -1/4 + 1/2. Suppose 1/4*w + k*w**2 - 1/4 - 1/4*w**m = 0. What is w?
-1, 1
Suppose 0 = z - 0*z - 2. Let b = -33 + 67/2. What is i in 0 + b*i**z - 2*i**4 - 3/2*i**3 + 0*i = 0?
-1, 0, 1/4
Determine i, given that -1/2*i**3 + 1/2*i**5 - 1/2*i**4 + 1/2*i**2 + 0*i + 0 = 0.
-1, 0, 1
Let t be 496/(-6) - 0/(-2). Let a = t - -84. Determine b, given that b**4 + 0 - a*b**3 + 1/3*b**2 + 0*b = 0.
0, 1/3, 1
Let h be (-1827)/(-567) + (-3)/1*1. Solve -h + 2/9*b**2 + 1/9*b**3 - 1/9*b = 0 for b.
-2, -1, 1
Let i(m) be the first derivative of -m**6/27 + 2*m**5/15 - m**4/9 - 4*m**3/27 + m**2/3 - 2*m/9 + 3. Factor i(u).
-2*(u - 1)**4*(u + 1)/9
Let c(x) be the second derivative of 27*x**5/40 - 7*x**4 + 93*x**3/4 - 27*x**2/2 - 32*x. Suppose c(g) = 0. Calculate g.
2/9, 3
Solve -4*i**5 + 8*i**2 + 17*i**4 - 10*i**3 - i**4 - 10*i**3 = 0 for i.
0, 1, 2
What is d in 2/9*d**2 - 2/3 - 4/9*d = 0?
-1, 3
Let v(k) be the first derivative of 0*k**5 - 1/4*k**2 + 1/4*k**4 - 3 + 0*k - 1/12*k**6 + 0*k**3. Solve v(w) = 0 for w.
-1, 0, 1
Let a = -1213/3 + 405. Determine n, given that -a*n**2 - 4/3*n - 2/3 = 0.
-1
Suppose -4*i + 41 = 9. Suppose -15 = -i*k + 3*k. Find v such that -v**k + 10*v**2 - 10*v**2 = 0.
0
Let c be -2 - 8/(-7)*2. Suppose 3*j = 3*x, -4*j = 4*x - x. Factor x*h - 2/7 + c*h**2.
2*(h - 1)*(h + 1)/7
Determine d, given that 0 - 1/10*d - 1/10*d**2 = 0.
-1, 0
Let b = 590/7 - 84. Solve b*a**2 - 2/7*a - 2/7*a**4 + 0 + 2/7*a**3 = 0.
-1, 0, 1
Let x be (-1)/6*(-6)/4. Suppose 0 = g + 303 - 306. Solve -1/4 - x*i**4 - 1/4*i**5 + 1/2*i**g + 1/2*i**2 - 1/4*i = 0.
-1, 1
Factor 64*g - g**2 - 10*g**2 - 256 + 7*g**2.
-4*(g - 8)**2
Let o(s) be the third derivative of s**6/60 + s**5/2 + 21*s**4/4 + 49*s**3/3 + 2*s**2 - 8. Find c, given that o(c) = 0.
-7, -1
Let q be 1 + -5 - 30/(-5). Let n(k) be the first derivative of 3/20*k**5 + 0*k - 1/8*k**q + 5/12*k**3 - 1 - 7/16*k**4. Factor n(y).
y*(y - 1)**2*(3*y - 1)/4
Let p(l) be the third derivative of l**5/210 - 2*l**4/21 + 16*l**3/21 - 4*l**2. Determine g, given that p(g) = 0.
4
Suppose -i = -106 + 103. Determine g, given that -4/7*g**2 - 8/7*g + 8/7*g**i + 4/7*g**4 + 0 = 0.
-2, -1, 0, 1
Let k(u) be the second derivative of u**7/105 + 8*u**6/75 + 11*u**5/25 + 4*u**4/5 + 3*u**3/5 + 10*u. Factor k(t).
2*t*(t + 1)**2*(t + 3)**2/5
Determine w so that -4*w**4 + 32/5*w**3 + 4/5*w**5 + 0*w - 16/5*w**2 + 0 = 0.
0, 1, 2
Let y = -16 + 16. Let r(a) be the third derivative of 2/3*a**3 + 1/4*a**4 + y*a + 1/30*a**5 + a**2 + 0. Factor r(l).
2*(l + 1)*(l + 2)
Let c be ((-18)/(-32))/(6/8). Let g = -1/2 + c. Suppose 0*u**2 - g*u + 1/4*u**3 + 0 = 0. What is u?
-1, 0, 1
Let a(d) = d**4 + d**3 - d**2. Let j(g) = -14*g**2 + 11*g**2 + 4*g**2 + 2*g**4 + 4*g**3. Let w(s) = a(s) - j(s). Suppose w(n) = 0. Calculate n.
-2, -1, 0
Let u(l) be the second derivative of 3*l + 0*l**3 - 1/6*l**4 + l**2 + 0. Factor u(z).
-2*(z - 1)*(z + 1)
Suppose 2 = 2*v, -3*y + 13 = -y + v. Determine c, given that 32*c**4 - 10*c**4 + 10*c**5 - y*c**5 + 14*c**5 + 4*c**3 = 0.
-1, -2/9, 0
Let c(y) be the third derivative of y**6/280 - y**5/140 - 3*y**2. Suppose c(v) = 0. Calculate v.
0, 1
Let g(z) be the first derivative of -1/6*z**3 + 3/4*z**2 - z - 11. Suppose g(l) = 0. What is l?
1, 2
Let j(q) be the third derivative of q**6/300 + 7*q**5/50 + 49*q**4/20 + 343*q**3/15 - 24*q**2. Factor j(t).
2*(t + 7)**3/5
Let a = 111 - 109. Find l, given that -20/7*l**a - 2/7 + 20/7*l**3 + 2/7*l**5 - 10/7*l**4 + 10/7*l = 0.
1
Let a = -8/3 - -11/4. Let h(p) be the third derivative of a*p**4 + 0 + 0*p + 1/60*p**5 + 1/6*p**3 - 4*p**2. Factor h(m).
(m + 1)**2
Let t(x) be the third derivative of -x**8/60480 + x**7/7560 - x**5/20 + 3*x**2. Let k(l) be the third derivative of t(l). Let k(n) = 0. What is n?
0, 2
Let x(w) = w**2 - 42*w + 398. Let s(i) = -2*i**2 + 85*i - 795. Let m(y) = 6*s(y) + 15*x(y). Determine v, given that m(v) = 0.
20
Let g(k) be the first derivative of 2*k**6/3 + k**5 - 19*k**4/4 + 7*k**3/3 + 3*k**2/2 + 2. Determine t so that g(t) = 0.
-3, -1/4, 0, 1
Let x(t) = 6*t**3 - 4*t**2 - 8*t + 2. Let w(p) = -p**3 - p**2. Let q(z) = 2*w(z) - x(z). Solve q(b) = 0.
-1, 1/4, 1
Suppose -14 = -6*q + 4. Let s(b) be the first derivative of 2 + 0*b + 0*b**2 - 2/15*b**q - 1/5*b**4. Factor s(j).
-2*j**2*(2*j + 1)/5
Factor 8/7 + 3/7*z**3 - 12/7*z - 2/7*z**2.
(z - 2)*(z + 2)*(3*z - 2)/7
Let j(f) be the first derivative of f**7/630 - f**6/360 - f**5/360 - 4*f**3/3 + 2. Let t(g) be the third derivative of j(g). Factor t(z).
z*(z - 1)*(4*z + 1)/3
Suppose -1/5 + 1/5*y**2 + 4/5*y**3 - 4/5*y = 0. What is y?
-1, -1/4, 1
Let i(f) be the first derivative of f**6/24 + f**5/20 - f**4/16 - f**3/12 - 10. Find o, given that i(o) = 0.
-1, 0, 1
Find o, given that -5*o**4 - 5*o**5 + 25*o**4 - 3*o - 2*o - 30*o**3 + 21*o**2 - o**2 = 0.
0, 1
Let i = -8 + 16. Let q = i - 5. Suppose -6*t - t**2 - 4 + 2*t**2 - q*t**2 = 0. Calculate t.
-2, -1
Let o = -1312/3 + 438. Let 0 + 4/3*u**3 - o*u**5 + 0*u**2 - 2/3*u + 0*u**4 = 0. What is u?
-1, 0, 1
Let z(h) be the third derivative of h**5/30 - 4*h**3/3 + 4*h**2. What is p in z(p) = 0?
-2, 2
Suppose 2*m = m + 8. Let v be 10/(-12)*m/(-10). Solve -v*x**2 + 2/3*x**5 + 0 + 2/3*x**4 - 2/3*x**3 + 0*x = 0.
-1, 0, 1
Find n, given that 0*n - 1/7*n**2 + 1/7 = 0.
-1, 1
Let t = -136 - -1232/9. Factor -t*k - 2/9*k**2 - 8/9.
-2*(k + 2)**2/9
Let n(q) be the third derivative of q**8/1680 - q**7/525 - q**6/300 + q**5/75 + q**4/120 - q**3/15 - 25*q**2. Determine x, given that n(x) = 0.
-1, 1, 2
Suppose -o = 3*q - 5, o + 6*q = 4*q + 5. Suppose 0 = -0*l + o*l - 10. Factor -3 - l*p**2 - 3 - 2 - 8*p.
-2*(p + 2)**2
Let g(b) be the second derivative of b**6/300 - b**4/60 - 5*b**2/2 + 3*b. Let l(d) be the first derivative of g(d). Suppose l(k) = 0. Calculate k.
-1, 0, 1
Let c(r) = 4*r + 15. Let a be c(-6). Let q be (-3 + a)*(-2)/30. Factor 6/5*b + q + 2/5*b**2.
2*(b + 1)*(b + 2)/5
Let a(f) be the third derivative of -3*f**7/14 - 13*f**6/40 + 17*f**5/20 + 13*f**4/8 - f**3 - 16*f**2. What is r in a(r) = 0?
-1, 2/15, 1
Let g be 6/9 - (-44)/(-12). Let d = 5 + g. Find j, given that -3*j**3 + 3*j**d + 0 + 1 + 2*j**3 - 3*j = 0.
1
Let i(x) be the first derivative of 5*x**4/2 + 22*x**3/3 + 2*x**2 - 1. Factor i(o).
2*o*(o + 2)*(5*o + 1)
Let w(u) be the third derivative of u**8/168 - 4*u**7/105 + u**6/12 - u**5/15 - 11*u**2. Factor w(h).
2*h**2*(h - 2)*(h - 1)**2
Let p(j) = -5*j**2 - 7*j - 2. Suppose 0 = 3*h - 5*n + 28, -4*n + 1 = 4*h - 15. Let y(b) = -b**2 - b. Let o(x) = h*p(x) + 4*y(x). Factor o(v).
(v + 1)*(v + 2)
Let u be 0 - 1 - (-8 - -2). Solve 9*s**5 - 2 - 4*s**2 + 4*s**3 - 2*s + 6*s**4 - 7*s**u - 4*s = 0.
-1, 1
Let x = 187 + -185. Let a(l) be the first derivative of 2/3*l**3 + x*l + 2*l**2 + 4. Determine q so that a(q) = 0.
-1
Let o be 5/40 + (-46)/(-16). Let -1/3*z**2 + 1/3*z**o - 1/3*z + 1/3 = 0. Calculate z.
-1, 1
Let p(m) = m**5 + 0 - 2 - 8 + 8 - 4*m**4 + m**3. Let y(j) = 12 + 17*j**4 + 3*j**3 - 8*j**3 - 5*j**5 - 3. Let w(f) = 18*p(f) + 4*y(f). Factor w(l).
-2*l**3*(l + 1)**2
Let z(g) be the second derivative of g**4/90 + g**3/9 + 4*g**2/15 + 22*g. Determine q, given that z(q) = 0.
-4, -1
Let c be 1 + 7 + -4 + 0. Let g = c + -15/4. Factor g*u + 0 + 1/4*u**3 - 1/2*u**2.
u*(u - 1)**2/4
Let m(t) be the second derivative of -t**6/15 - 13*t**5/30 - 19*t**4/18 - 11*t**3/9 - 2*t**2/3 + 7*t. Let m(q) = 0. Calculate q.
-2, -1, -1/3
Let u = 210417/12698 - -1/1814. Let l = -16 + u. Determine o, given that 2/7 + l*o + 2/7*o**2 = 0.
-1
Let c(d) = d**2 + d + 3. Let x be c(0). What is p in 26*p**2 - 2 + 7 - 3 + 2*p**4 - 24*p + 6 - 12*p**x = 0?
1, 2
Let x = 2/1515 - -9064/19695. Solve x - 8/13*p + 2/13*p**2 = 0.
1, 3