- 1)*(s + 2)/2
Let y(o) = 9*o - 4 - 2*o - o - 9*o. Let u be y(-2). Suppose -2/7*j**u + 0 + 2/7*j = 0. What is j?
0, 1
Let p(h) = -2*h - 13. Suppose 3*k - 3*n = 2*n - 42, -3*n = k. Let r be p(k). What is q in -3*q**2 + 3*q - r*q + q**2 = 0?
-1, 0
Suppose -m + 2*m = 199. Let b = m - 1389/7. Solve -6/7*g**3 + 6/7*g - 2*g**2 + 10/7*g**4 + b = 0 for g.
-1, -2/5, 1
Suppose 5 = -7*m + 5. Solve -2/5*c + m + 2/5*c**2 = 0 for c.
0, 1
Let t = -11 - -19. Let w be (-2)/t - 9/(-4). Find a such that -14*a**3 + w*a - 6*a**4 + 12*a + 4 + 0*a**2 + 2*a**2 = 0.
-2, -1, -1/3, 1
Let a(g) = -3*g**2 + g + 8. Let z(m) = -m**2 - m - 5. Let o be z(0). Let h(u) = 6*u**2 - u - 17. Let r(s) = o*a(s) - 2*h(s). Determine v so that r(v) = 0.
-1, 2
Let j(c) = 5*c**3 - 25*c**2 - 65*c - 31. Let v(b) = -30*b**3 + 150*b**2 + 390*b + 185. Let a(p) = -25*j(p) - 4*v(p). Solve a(r) = 0.
-1, 7
Suppose -4*k + k = 45. Let q = k + 63/4. Factor -q*s**2 + s**4 + 5/4*s**3 - 1/4 - 5/4*s.
(s - 1)*(s + 1)**2*(4*s + 1)/4
Let q(r) be the second derivative of 3*r**5/4 - 20*r**4/3 + 25*r**3/2 + 45*r**2 + 11*r. Find g such that q(g) = 0.
-2/3, 3
Suppose -12 = 4*i - 6*i. Let p(w) be the third derivative of 0*w**4 + 0 + 0*w**5 + 0*w + 0*w**7 - 1/60*w**i + 1/168*w**8 + 0*w**3 + w**2. Factor p(s).
2*s**3*(s - 1)*(s + 1)
Let t(g) be the third derivative of -g**6/30 + 13*g**5/60 - g**4/8 + 8*g**2. Factor t(u).
-u*(u - 3)*(4*u - 1)
Let k = 12 + -8. Suppose 0 = -3*o - 9, -q - 4 = 3*q + k*o. Determine i, given that 0 + 4/3*i + 2/3*i**q = 0.
-2, 0
Let 0 - 4/3*z**4 - 2/3*z**2 + 0*z + 2*z**3 = 0. Calculate z.
0, 1/2, 1
Suppose -5*m - 7 + 17 = 0. Let n = m - 3/2. Determine r, given that 0 + 0*r**3 - 1/2*r**4 + 1/4*r - 1/4*r**5 + n*r**2 = 0.
-1, 0, 1
Let w(s) be the first derivative of s**8/1680 + s**7/210 + s**6/72 + s**5/60 + s**3 + 2. Let g(z) be the third derivative of w(z). Let g(v) = 0. Calculate v.
-2, -1, 0
Let p(a) = a. Let i be p(3). Factor 4*h**2 - 4*h**2 - h**i - 2*h**2 + 2*h - 3*h.
-h*(h + 1)**2
Let o(b) be the third derivative of b**7/210 + b**6/60 - b**5/60 - b**4/12 + 6*b**2. What is r in o(r) = 0?
-2, -1, 0, 1
Let v(g) be the second derivative of -g**4/48 + g**3/6 - g**2/2 + 2*g. Determine n so that v(n) = 0.
2
Let y be (-30)/12*(-3 + 215/75). Let n**4 - y*n**5 - n**3 + 0 + 1/3*n**2 + 0*n = 0. What is n?
0, 1
Let n(g) be the third derivative of g**8/6720 - g**7/1260 - g**6/720 + g**5/60 + 5*g**4/24 - 5*g**2. Let u(m) be the second derivative of n(m). Factor u(t).
(t - 2)*(t - 1)*(t + 1)
Let g(d) be the first derivative of -d**6/8 + 3*d**5/10 - d**3/2 + 3*d**2/8 - 12. Find x such that g(x) = 0.
-1, 0, 1
Suppose 5*n = -3*m + 4*m + 8, 5*n - 5*m - 20 = 0. Let v(d) be the first derivative of 2*d**2 + n - 1/3*d**3 - 4*d. Let v(w) = 0. What is w?
2
Let q = 13 - 7. Suppose -q = -i - i. Factor 1/2*g**2 + 1/4*g**i - 1/4*g - 1/2.
(g - 1)*(g + 1)*(g + 2)/4
Let d(h) = h**3 - h**2 - 1. Let v(k) = k**3 + 5*k**2 - 10*k + 1. Let q(a) = -3*d(a) + v(a). What is n in q(n) = 0?
1, 2
Find h such that -36/7*h**2 - 44/7*h**3 + 90/7*h**5 + 18/7*h + 102/7*h**4 - 2/7 = 0.
-1, 1/5, 1/3
Let v(h) be the second derivative of -2*h**7/273 + h**6/65 + h**5/26 - h**4/6 + 3*h**3/13 - 2*h**2/13 + 6*h. Let v(w) = 0. What is w?
-2, 1/2, 1
Let l(g) = g**3 + g**2 - g - 1. Let q = -5 + 0. Let a(o) = 8*o**3 + 4*o**2 - 7*o - 5. Let y(f) = q*l(f) + a(f). Factor y(m).
m*(m - 1)*(3*m + 2)
Let s = 236/875 - -2/125. Factor -16/7 + 12/7*o**4 + 4/7*o**2 + s*o**5 + 22/7*o**3 - 24/7*o.
2*(o - 1)*(o + 1)*(o + 2)**3/7
Suppose -5 + 3 = -u. Factor 2*p**2 + 3 - u*p**5 - 3 + 2*p**3 - 2*p**4.
-2*p**2*(p - 1)*(p + 1)**2
Let b be (3/(-150))/((-162)/45). Let v(h) be the third derivative of -b*h**6 - h**2 + 0*h**4 + 0*h**3 + 0*h + 1/90*h**5 + 0. Suppose v(y) = 0. Calculate y.
0, 1
Let i = 197/530 + 3/106. Factor 2/5 + 6/5*b**3 - 2*b**2 + i*b.
2*(b - 1)**2*(3*b + 1)/5
Let 40 - 30*o**2 - 5*o**4 + 9*o**3 + 13*o**3 + 3*o**3 + 0*o**3 - 20*o = 0. What is o?
-1, 2
Let p(f) be the third derivative of f**6/60 - f**5/15 + 42*f**2 + f. Let p(j) = 0. What is j?
0, 2
Let k(t) = t**2 + 7*t - 6. Let m be k(-8). Suppose 0 = -m*z - 2, -1 = r + 4*z + 1. Factor -r + p**2 - 4 + 5.
(p - 1)*(p + 1)
Let s(t) = t - 1. Let d(v) = -3*v**5 + 15*v**4 - 30*v**3 + 30*v**2 - 12*v. Let p(r) = d(r) - 3*s(r). What is a in p(a) = 0?
1
Let q(b) = -2*b + 6. Let v be q(3). Suppose -5*d + 6 + 4 = v. Determine u, given that -2/9*u**3 + 2/9*u**d + 0 + 0*u = 0.
0, 1
Factor 0*n + 6/7*n**2 + 2/7*n**3 - 8/7.
2*(n - 1)*(n + 2)**2/7
Let d(g) = 5*g**4 - 2*g**3 - 4*g**2 - 2*g - 5. Let k(j) = j**4 - j**3 - j**2 - 1. Let i(v) = 3*d(v) - 12*k(v). Factor i(n).
3*(n - 1)*(n + 1)**3
Suppose 4*v - 20 = 3*d + d, 2*d + 10 = 0. Let j = v - -5. Find p such that -j - 2*p**3 + 5 = 0.
0
Suppose 2*a - 13 = -3. Find k such that 0*k**4 + 0*k**5 - 2*k**4 + 2*k**a + k**3 - k**5 = 0.
0, 1
Determine q, given that -3*q - 72*q**3 - 5 + 48*q**4 + 2 + 27*q**2 + 3 = 0.
0, 1/4, 1
Let f(r) = -r**5 + r**4 + r**3 - r**2 + r + 1. Let j(l) = 2*l**5 - 2*l**3 - l - 1. Let s(x) = 2*f(x) + 2*j(x). What is o in s(o) = 0?
-1, 0, 1
Let f(y) be the first derivative of -y**2 - 3*y**4 + 0*y - 3 + 8/5*y**5 + 8/3*y**3 - 1/3*y**6. Factor f(b).
-2*b*(b - 1)**4
Factor -2*o**2 + 1/3 - 5/3*o.
-(o + 1)*(6*o - 1)/3
Suppose 0 = p - 3*p + 6. Suppose -2*l - 2*l - p = 3*d, -4*l - 13 = 5*d. Factor 3*i**l - i**2 - 9*i**3 + 3*i**2.
-2*i**2*(3*i - 1)
Let t(v) be the first derivative of -v**3/4 + v**2/2 - v/4 - 33. Solve t(p) = 0 for p.
1/3, 1
Let j(l) be the third derivative of l**6/1800 + l**5/600 + l**3/6 + l**2. Let w(k) be the first derivative of j(k). Factor w(a).
a*(a + 1)/5
Suppose -3*j + 2 = 5*s - 13, -5*j = -3*s + 9. Suppose -5*r + 26 = -s*q, q + 6 = -2*q. Factor 0 - 10/7*b**5 + 2/7*b**2 + 4/7*b - 26/7*b**r - 18/7*b**3.
-2*b*(b + 1)**3*(5*b - 2)/7
Let z(v) be the first derivative of v**2 + 1/2*v**4 + 0*v + 4/3*v**3 + 3. Determine d, given that z(d) = 0.
-1, 0
Let o be 0*(14/4 - 3). Factor -1/4 + 1/4*l**2 + o*l.
(l - 1)*(l + 1)/4
Suppose -5*d + 57 = -2*p, 0 = -0*d + 4*d + 5*p - 39. Solve 3*i**2 + d*i - 12*i - i**2 = 0 for i.
0, 1/2
Let d = 81901/150 - 546. Let u(q) be the third derivative of 0*q**3 - d*q**5 + 0*q**4 - 1/300*q**6 + 0 + 0*q - 2*q**2. Factor u(y).
-2*y**2*(y + 1)/5
Let q = 43/36 - 4/9. Factor 0*z - 9/4*z**3 + 0 - 3/2*z**2 - q*z**4.
-3*z**2*(z + 1)*(z + 2)/4
Let z(o) = -4*o**4 + 32*o**3 - 98*o**2 + 126*o - 62. Let c(m) = -m**2 - m + 1. Let y(r) = -2*c(r) + z(r). Factor y(j).
-4*(j - 2)**4
Let j = -620 + 620. Let -5/3*d**2 + 2/3*d + j = 0. What is d?
0, 2/5
Suppose l + 0*l = 0. Suppose 12*t**2 - 4*t**2 + l*t - 6*t**3 - 2*t = 0. Calculate t.
0, 1/3, 1
Let f(k) be the third derivative of -k**8/84 + 2*k**7/105 + k**6/15 - 2*k**5/15 - k**4/6 + 2*k**3/3 + 11*k**2. Factor f(p).
-4*(p - 1)**3*(p + 1)**2
Suppose f**3 + 0 + 0*f - 2/3*f**2 - 1/3*f**4 = 0. What is f?
0, 1, 2
Let c(z) be the second derivative of -z**8/20160 + z**7/1260 - z**6/180 + z**5/45 - z**4/3 - 4*z. Let l(u) be the third derivative of c(u). Factor l(w).
-(w - 2)**3/3
Let c be ((-8)/(-12))/((-1)/(-3)). Factor 0*t - 2*t + 2*t**c - 4*t + 4.
2*(t - 2)*(t - 1)
Let l = -263 + 2371/9. Let g be (-5)/(0 + -1) + 0. Find j, given that 2/9*j**g + 2/9*j**3 + 0*j**2 + 0*j + 0 - l*j**4 = 0.
0, 1
Let v(o) be the first derivative of 2*o**6/3 + 4*o**5/5 - 2*o**4 - 8*o**3/3 + 2*o**2 + 4*o - 6. Factor v(x).
4*(x - 1)**2*(x + 1)**3
Factor 0*o + 0 + 0*o**2 - 4/3*o**3.
-4*o**3/3
Let o(v) be the first derivative of 0*v**2 + 3 - 2*v**3 + 3*v + 3/5*v**5 + 0*v**4. Find z such that o(z) = 0.
-1, 1
Let v = 15 + -1. Factor -v*f**3 - 2 + 49/2*f**4 - 45/2*f**2 + 14*f.
(f - 1)*(f + 1)*(7*f - 2)**2/2
Let n = -373/10 + 75/2. Factor 0 + 1/5*t + 6/5*t**3 - 4/5*t**4 - 4/5*t**2 + n*t**5.
t*(t - 1)**4/5
Factor -8/3*c**4 + 2/3*c + 2/3 - 6*c**2 + 22/3*c**3.
-2*(c - 1)**3*(4*c + 1)/3
Let k be (-304)/28 + 11 + 59/77. Solve 6/11*d**2 + k*d**3 - 24/11*d + 8/11 = 0 for d.
-2, 2/5, 1
Let -4/13*d + 0 - 2/13*d**2 = 0. Calculate d.
-2, 0
Let x(q) be the second derivative of -q**4/6 - 4*q**3/3 - 3*q**2 - 11*q. Determine b, given that x(b) = 0.
-3, -1
Let w = 3 + -1. Let k = 111/2 - 54. Determine m, given that -1/2*m**w - 1 + k*m = 0.
1, 2
Let h = -20 + 23. Find c, given that 9*c**3 - 6*c**2 + 57*c - 57*c - h*c**4 = 0.
0, 1, 2
Fact