is p in t(p) = 0?
0, 1, 2
Let r be 2/14 - 270/(-70). Factor 1/3 + 1/2*a - 1/2*a**r - 1/2*a**2 - 7/6*a**3.
-(a + 1)**3*(3*a - 2)/6
Let v = 96 - 93. Find z, given that -2/3*z**v - 2/3*z**2 + 0 + 0*z = 0.
-1, 0
Suppose -15 = 91*y - 96*y. Factor 0*n + 4/3*n**4 - 2*n**y + 0 + 2/3*n**2.
2*n**2*(n - 1)*(2*n - 1)/3
Let v = 2 + 1. Suppose -2*m + m = -v. Solve 0*k**2 + 2/5*k + 0 - 2/5*k**m = 0 for k.
-1, 0, 1
Suppose 6*u - 3*z - 10 = -z, -u - 17 = -5*z. Let 12/5*r**2 + 6/5 - 3*r - 3/5*r**u = 0. What is r?
1, 2
Let n(k) be the second derivative of 7*k**4/72 - 5*k**3/36 - k**2/6 + 12*k. Find p such that n(p) = 0.
-2/7, 1
Let q = -7859/60 - -131. Let v(t) be the third derivative of -q*t**5 + t**2 - 1/6*t**3 - 1/12*t**4 + 0 + 0*t. Factor v(a).
-(a + 1)**2
Let t(y) be the first derivative of 3/25*y**5 - 3 - 1/15*y**3 - 1/2*y**2 - 2/5*y + 1/4*y**4. Solve t(z) = 0 for z.
-1, -2/3, 1
Let o = 52 + -27. Let -4 - 2*f**3 - o*f**2 + 19*f**2 + 0 + 10*f + 2*f**4 = 0. What is f?
-2, 1
Let u = 27 + -22. Let i(t) be the second derivative of -1/6*t**3 + 1/30*t**6 - 3/20*t**u + 1/4*t**4 + 0*t**2 + 0 + 2*t. Solve i(f) = 0.
0, 1
Suppose 10*s + 60 - 80 = 0. Determine g so that g + 0 - 1/2*g**s = 0.
0, 2
Let d(n) = -12*n**3 + 18*n - 3. Let t(a) = a**3 - a + 1. Let o(c) = d(c) + 9*t(c). Let o(p) = 0. Calculate p.
-1, 2
What is v in -4 - 1 + 35*v - 26*v**2 - 63*v**3 - 14*v**2 - 17*v**3 = 0?
-1, 1/4
Let a(g) = -g**2 - 5*g + 3. Let x be (2 + -3)/((-1)/(-2)). Let w(m) = 0 - 4*m - 2 + 4. Let r(o) = x*a(o) + 3*w(o). Find i such that r(i) = 0.
0, 1
Let w = -1/5 - -13/15. Determine b, given that 0 - 2*b**3 - 2/3*b - w*b**4 - 2*b**2 = 0.
-1, 0
Suppose 8/3*p**2 - 4/3*p + 4/3*p**3 - 8/3 = 0. What is p?
-2, -1, 1
Suppose z = -2 + 5. Determine r so that -3*r**2 + r + 2 + 4*r**3 + r**2 - 5*r**z + 0*r**2 = 0.
-2, -1, 1
Suppose -5*h - 3*g = -8, 2*h - 5*g = 1 + 27. What is d in 0*d**4 - d**3 + 4*d**5 + 2 + 5*d**3 - 8*d - 3*d**h - 7*d**4 + 8*d**2 = 0?
-1, 1/2, 1
Let a(g) be the second derivative of g**7/273 - g**6/39 + 9*g**5/130 - 7*g**4/78 + 2*g**3/39 - 18*g. Factor a(q).
2*q*(q - 2)*(q - 1)**3/13
Let u(w) be the first derivative of -1/6*w**4 + 1 + 0*w**3 + 0*w + 1/6*w**2 + 0*w**5 + 1/18*w**6. Find j, given that u(j) = 0.
-1, 0, 1
Let j(b) be the third derivative of 0*b**3 - 1/45*b**6 + 0*b + 2*b**2 + 2/45*b**5 + 1/315*b**7 + 0*b**4 + 0. Factor j(s).
2*s**2*(s - 2)**2/3
Let b(d) = -3*d**2 - 6*d - 3. Let s(g) = 3*g**2 + 6*g + 3. Suppose -4*h = f - 0 - 9, -4*f = -4*h + 44. Let k(q) = f*b(q) - 6*s(q). Factor k(j).
3*(j + 1)**2
Let q(y) = y**3 - 2*y**2 - 2*y + 1. Let f be q(3). Suppose -d**2 + 2*d**2 + 3*d - 27*d**f - 6 - 3*d**3 + 8*d**2 + 24*d**4 = 0. Calculate d.
-2, -1, 1
Let f(u) = -u**5 - u**4 - u**3 - u**2 - 1. Let g(q) = -5*q**5 + 11*q**4 - 19*q**3 + q**2 + 8*q - 6. Let a = 16 - 17. Let d(p) = a*g(p) + 2*f(p). Factor d(x).
(x - 2)*(x - 1)**3*(3*x + 2)
Let g = 155 + -1079/7. Suppose 2*l**2 + g*l + 0 = 0. What is l?
-3/7, 0
Let t = 13 - 9. Factor -2*v**4 - 2*v**2 + 3*v**4 + v**t + v + 0*v**5 - v**5.
-v*(v - 1)**3*(v + 1)
Let z(h) = -4*h**3 + 88*h**2 - 250*h + 70. Let i(s) = 3*s**3 - 87*s**2 + 249*s - 69. Let a(g) = 5*i(g) + 6*z(g). Factor a(r).
-3*(r - 5)**2*(3*r - 1)
Let k(m) be the third derivative of m**8/1176 - m**7/735 - m**6/420 + m**5/210 - 11*m**2. Solve k(o) = 0.
-1, 0, 1
Let t(j) be the third derivative of 0*j + 1/660*j**6 + 4*j**2 + 0*j**4 + 0*j**3 - 1/616*j**8 + 0 + 0*j**5 - 2/1155*j**7. Solve t(w) = 0 for w.
-1, 0, 1/3
Let n be 2/(-4) - (-404)/400. Let y = 6/25 + n. Factor t + y*t**2 - 1.
(t + 2)*(3*t - 2)/4
Let z(c) = -6*c**3 + 20*c**2 - 6*c - 8. Let p(h) = 1 + 2 + 3*h - h + 2*h**3 - 7*h**2. Let u(s) = 8*p(s) + 3*z(s). Determine r, given that u(r) = 0.
0, 1
Factor 2/5*t**2 - 6/5*t + 2/5*t**4 + 6/5*t**3 - 4/5.
2*(t - 1)*(t + 1)**2*(t + 2)/5
Let u(l) be the second derivative of l**9/10080 - l**8/4480 + l**4/3 + 4*l. Let s(z) be the third derivative of u(z). Factor s(m).
3*m**3*(m - 1)/2
Let h = 3/56 + -1/280. Let w(q) be the first derivative of 1 - 1/2*q**3 - 1/4*q + 1/4*q**4 + 1/2*q**2 - h*q**5. Find n, given that w(n) = 0.
1
Let o = -132 - -134. Factor -1/3 + 4*q - 16*q**o + 64/3*q**3.
(4*q - 1)**3/3
Suppose -5*a - 25 = 4*h, 2*h = a + 9 - 4. Suppose o + 1 = 0, -o - 7 + h = -3*p. Factor -z - p*z**2 - z**2 + 2*z**2.
-z*(z + 1)
Let s be (-1)/(27/6 - 4). Let w be 4/(-72)*s*6. Determine t so that 3*t + 5/3*t**3 - w - 4*t**2 = 0.
2/5, 1
Let t(j) be the second derivative of -j**7/189 - j**6/45 + 2*j**4/27 - 13*j. Factor t(y).
-2*y**2*(y - 1)*(y + 2)**2/9
Let -195 + 5*u**4 + 64*u + 72*u**2 + 32*u**3 + 0*u**4 + 211 = 0. Calculate u.
-2, -2/5
Suppose -q**5 + 5*q**3 - 6*q**2 - 4*q**5 + 6*q**2 = 0. Calculate q.
-1, 0, 1
Let n(j) be the third derivative of -j**8/168 - 2*j**7/105 + j**6/15 + j**5/15 - j**4/4 + 33*j**2. Let n(t) = 0. Calculate t.
-3, -1, 0, 1
Let y(h) be the first derivative of h**4 - 8*h**3 - 3. Let y(c) = 0. Calculate c.
0, 6
Factor -8*q**2 + 3*q**3 + 4*q**3 + 3*q**2 - 2*q**3.
5*q**2*(q - 1)
Let i(q) = -3*q**3 - q**2 - 3*q - 1. Let p(h) = -19*h**3 - 5*h**2 - 18*h - 6. Let v(b) = -39*i(b) + 6*p(b). Factor v(l).
3*(l + 1)**3
Suppose -1/3 - 1/3*h**4 + 1/3*h - 2/3*h**3 + 1/3*h**5 + 2/3*h**2 = 0. What is h?
-1, 1
Let c(q) be the first derivative of q**4/18 - q**2/3 - q - 2. Let b(m) be the first derivative of c(m). Solve b(s) = 0.
-1, 1
Let o(s) be the third derivative of 3*s**2 + 0 + 0*s + 0*s**3 - 1/20*s**5 - 1/8*s**4. Determine u, given that o(u) = 0.
-1, 0
Let p(d) be the third derivative of d**7/105 + 2*d**6/15 + 3*d**5/5 + 4*d**4/3 + 5*d**3/3 - 12*d**2. Determine q, given that p(q) = 0.
-5, -1
Let g(o) be the second derivative of o**4/54 - o**2/9 - 8*o. Let g(x) = 0. What is x?
-1, 1
Suppose k + 29 = -i - 0*i, -2*i + 14 = -k. Let g be ((-8)/14)/(k/28). Suppose g*j + 8/3*j**2 + 0 + 2/3*j**5 + 8/3*j**4 + 4*j**3 = 0. Calculate j.
-1, 0
Let x = -76 - -305/4. Factor 1/4*f**2 + 1/4*f**3 - 1/4*f**5 + 0*f - x*f**4 + 0.
-f**2*(f - 1)*(f + 1)**2/4
Let z be (-17)/9 + 9 + -4 + -3. Let x(h) be the first derivative of 0*h + 2 - 1/6*h**2 + z*h**3. Factor x(t).
t*(t - 1)/3
Let l = 3 + -5. Let f be (l/(-3))/(1/3). Determine o, given that -10*o - 8 - 2*o**f + 0*o + 2*o = 0.
-2
Let o(w) be the second derivative of 1/96*w**4 + 3*w + 0 + 0*w**2 - 1/1440*w**6 + 0*w**5 + 1/6*w**3. Let x(v) be the second derivative of o(v). Factor x(s).
-(s - 1)*(s + 1)/4
Suppose 3*l - 3 = 15. Suppose 0 = 2*o - 2*a - l, -o + 3*a = -2*o - 1. Suppose 20/3*n**3 - 17/3*n**o - 20/3*n - 4/3 + 7*n**4 = 0. Calculate n.
-1, -2/3, -2/7, 1
Let y be 6*(-1 + (-3)/(-2)). Let -5*g - g**2 - 2*g**y + 7*g + 0 + 4 - 3*g**2 = 0. What is g?
-2, -1, 1
Let d(f) be the first derivative of 2*f**3/21 - 2*f**2/7 + 2*f/7 - 4. Factor d(u).
2*(u - 1)**2/7
Let r(u) be the first derivative of -u**5/80 + u**4/48 + u**3/24 + 2*u**2 + 2. Let w(v) be the second derivative of r(v). Suppose w(f) = 0. What is f?
-1/3, 1
Let l = 11 + -6. Let z = -3 + l. Suppose -11*m**5 + 3*m**5 + 2*m**2 + z*m**4 + 8*m**3 - 4*m**4 = 0. What is m?
-1, -1/4, 0, 1
Let b = -268 + 270. Factor 1/3*i**b + 1/3*i + 0.
i*(i + 1)/3
Let u = -1 - -5. Suppose 5*i + u = 7*i. Factor -5*g - 2*g + 4*g**3 + 3*g - i - 2*g**4 + 4.
-2*(g - 1)**3*(g + 1)
Let i(y) be the first derivative of y**3/12 - y**2/4 - 3*y/4 + 53. Find q such that i(q) = 0.
-1, 3
Let d(y) be the second derivative of y**6/40 - y**5/5 + 3*y**4/8 + 2*y**2 - 2*y. Let n(k) be the first derivative of d(k). Suppose n(v) = 0. Calculate v.
0, 1, 3
Let v(h) be the second derivative of h**7/42 - h**6/30 + 3*h. Factor v(d).
d**4*(d - 1)
Let z(m) be the second derivative of -m**9/45360 - m**8/20160 + m**7/3780 + m**4/6 - m. Let k(f) be the third derivative of z(f). Factor k(b).
-b**2*(b - 1)*(b + 2)/3
Let q = 0 - 1. Let s be 6/(-4)*(q + -1). Determine u so that -u**4 + u**3 - u**5 + 0*u**4 + 3*u + u**2 - s*u = 0.
-1, 0, 1
Let z(f) be the third derivative of 0*f + 19683/56*f**8 + 486*f**6 + 2*f**2 + 216*f**5 + 0 + 60*f**4 + 4374/7*f**7 + 32/3*f**3. Suppose z(r) = 0. Calculate r.
-2/9
Let i be (4 + -3)/((-3)/(-6)). Suppose 3 + 3*z**3 + 2*z**2 + 6*z**i - z**3 + 10*z + 1 = 0. Calculate z.
-2, -1
Let z(y) = y**3 - 8*y**2 + 7*y - 9. Let c be z(7). Let b = -7 - c. What is n in 2*n**3 - 4 + 4 + 2*n**b = 0?
-1, 0
Suppose 0 = 4*u - 2*m -