 (131 + -131). Factor -g*a**2 + 2/7*a - 1/7*a**3 + 0.
-a*(a - 1)*(a + 2)/7
Let k = -1/251 - -10547/1255. Suppose 8/5 + 82/5*w**2 + 48/5*w + k*w**3 = 0. What is w?
-1, -2/3, -2/7
Let f(h) = -h**2 + 10*h + 14. Let y be f(11). Let q(u) be the second derivative of -3*u + 0*u**2 + 1/5*u**5 - 1/15*u**6 + 0*u**y + 0 - 1/6*u**4. Solve q(z) = 0.
0, 1
Let c = 21 + -10. Let i(x) = -21*x - 9 - c*x - 17*x**2 + 1. Let d(k) = -50*k**2 - 96*k - 24. Let b(m) = 3*d(m) - 8*i(m). Factor b(n).
-2*(n + 2)*(7*n + 2)
Let t(n) be the second derivative of 0 - 1/35*n**5 + 1/105*n**6 + 1/42*n**4 + n + 0*n**2 + 0*n**3. Factor t(p).
2*p**2*(p - 1)**2/7
Let t(z) be the second derivative of -z**5/30 + z**3/9 + z. What is k in t(k) = 0?
-1, 0, 1
Let i(m) be the third derivative of m**8/420 - 2*m**7/75 + 3*m**6/25 - 4*m**5/15 + 4*m**4/15 + 32*m**2. Factor i(z).
4*z*(z - 2)**3*(z - 1)/5
Let l(q) be the first derivative of -55*q**3/3 - 50*q**2 + 20*q - 15. Find n such that l(n) = 0.
-2, 2/11
Find i, given that 14*i - 2*i**2 - 29*i - 50 - 5*i = 0.
-5
Let s(q) = -q**2 + 3*q + 5. Let h be s(5). Let w(c) = -c**3 - 5*c**2 + c + 5. Let p be w(h). Find u, given that 3*u + u**2 + 2*u**2 - 3 + p*u - 3*u**3 + 0 = 0.
-1, 1
Let a be ((-6)/(-9))/((-3)/(-45)). Let y(z) = 7*z**2 + z + 5. Let i(b) = -3*b**2 - 2. Let r(j) = a*i(j) + 4*y(j). Find w such that r(w) = 0.
0, 2
Let q(a) be the second derivative of -a**4/48 - 5*a**3/12 - 25*a**2/8 - 20*a. Find g such that q(g) = 0.
-5
Determine u so that -1/4*u + 0 - 1/2*u**2 - 1/4*u**3 = 0.
-1, 0
Let j(g) = g**3 + 3*g**2 - 5*g - 3. Let p be j(-3). Suppose 4*n - p = n. Suppose 0 + 2/7*f**5 + 8/7*f**2 + 2/7*f + 12/7*f**3 + 8/7*f**n = 0. What is f?
-1, 0
Let o(m) be the first derivative of -2*m**3/15 + 8*m**2/5 - 32*m/5 - 6. Factor o(w).
-2*(w - 4)**2/5
Let d(a) be the third derivative of -a**5/300 + a**3/30 - 10*a**2. Determine m, given that d(m) = 0.
-1, 1
Let w(b) be the first derivative of -5*b**6/42 + 3*b**5/35 + b**4/4 - b**3/7 - b**2/7 - 17. Solve w(d) = 0.
-1, -2/5, 0, 1
Let o(j) = 6*j + 16. Let w be o(12). Let k = w - 262/3. Solve 2/3*h**5 + 4/3*h**2 - 2*h - 2*h**4 + 4/3*h**3 + k = 0 for h.
-1, 1
Suppose -4 = -2*y - 0. Suppose 0*z - y*z = -14. Suppose z*f**3 + 2*f**3 + f + f - 11*f**2 = 0. What is f?
0, 2/9, 1
Let f(j) be the second derivative of 0 + 1/70*j**5 + 3*j + 1/7*j**3 + 1/14*j**4 + 1/7*j**2. Factor f(z).
2*(z + 1)**3/7
Let y(a) be the third derivative of a**8/1512 + a**7/945 - a**6/270 - 12*a**2. Find v such that y(v) = 0.
-2, 0, 1
Let p(y) be the second derivative of -3/20*y**5 + 1/30*y**6 - 1/6*y**3 + 0*y**2 - 5*y + 0 + 1/4*y**4. Factor p(v).
v*(v - 1)**3
Suppose 663*w = 669*w. Determine y so that 0*y + 1/2*y**3 + w*y**2 + 0 = 0.
0
Suppose -2*w + 48 = 2*r, -w = -4*r + 4*w + 123. Let q = r + -23. Determine g so that -2/3*g**q - 2/3*g**5 - 2/3 + 4/3*g**3 + 4/3*g**2 - 2/3*g = 0.
-1, 1
Let o(r) = -7*r**3 - 3*r**2 + 5*r - 5. Let b(m) = m**2 - m + 1. Let g(y) = 10*b(y) + 2*o(y). Factor g(t).
-2*t**2*(7*t - 2)
Let p(b) = -7*b - 4. Let i be p(-1). Factor -2*q**i + 0 - 4/7*q**2 + 0*q.
-2*q**2*(7*q + 2)/7
Let q(d) be the third derivative of 0 + 0*d**6 - 1/35*d**7 + 1/8*d**4 - 6*d**2 + 1/10*d**5 - 1/112*d**8 + 0*d + 0*d**3. Suppose q(n) = 0. What is n?
-1, 0, 1
Suppose 0 = 5*k - 3*y + 13, 0 = 4*k + 5*y + 6 - 3. Let o(r) = 4*r**2 + 8*r - 7. Let h(d) = -2*d**2 - 4*d + 4. Let j(s) = k*o(s) - 5*h(s). Solve j(p) = 0.
-3, 1
Suppose -p - i + 7 + 0 = 0, -3*i + 5 = -p. Let b(x) be the first derivative of -2/9*x**3 + 0*x + 0*x**p + 2/15*x**5 - 1/18*x**6 + 1/6*x**2 + 1. Factor b(a).
-a*(a - 1)**3*(a + 1)/3
Suppose -3*z - 5*c + 21 = 0, 5*c + 4 - 17 = z. Let h(m) be the first derivative of 0*m**z - 3 + 0*m + 2/3*m**3. Suppose h(r) = 0. What is r?
0
Let v(x) be the first derivative of x**6/30 - x**4/6 + 7*x**2/2 - 2. Let b(a) be the second derivative of v(a). Suppose b(w) = 0. Calculate w.
-1, 0, 1
Let o(i) = i - 2. Let k(r) = -1. Let x(m) = -3*k(m) + o(m). Let w be x(5). Solve w*s**2 - 4*s**4 + 2*s**5 + 0*s**4 - 2*s**2 - 2*s = 0.
-1, 0, 1
Let m(u) be the third derivative of -u**8/364 - 11*u**7/1365 + 7*u**6/780 + 4*u**5/195 - u**4/39 - 22*u**2. Determine r, given that m(r) = 0.
-2, -1, 0, 1/2, 2/3
Let m(q) be the third derivative of q**10/90720 - q**9/22680 + q**8/60480 + q**7/7560 + q**5/60 - 2*q**2. Let k(l) be the third derivative of m(l). Factor k(u).
u*(u - 1)**2*(5*u + 2)/3
Let r = 0 + 4. Solve 0*t**3 - 9*t**3 + 3*t**r + 12*t + 0*t = 0 for t.
-1, 0, 2
Let i be (5/(-15))/(-4 + -1). Let k(u) be the second derivative of 0 + 0*u**2 + 1/6*u**3 + i*u**6 - 1/6*u**4 + 2*u + 0*u**5 - 1/42*u**7. Factor k(y).
-y*(y - 1)**3*(y + 1)
Let o = -7 - -9. Suppose -5*r + o = -r - 3*f, 0 = -4*r - f + 10. Find n, given that 6*n - 2*n + 0*n + 2*n**r = 0.
-2, 0
Determine y, given that 4/5 - 2/5*y**5 - 2/5*y + 4/5*y**4 - 8/5*y**2 + 4/5*y**3 = 0.
-1, 1, 2
Let x(d) be the first derivative of 25*d**4/14 - 10*d**3/21 - 16*d**2/7 - 8*d/7 - 10. Solve x(z) = 0 for z.
-2/5, 1
Factor 0 - 4/5*a**3 + 4/5*a + 0*a**2.
-4*a*(a - 1)*(a + 1)/5
Let v(z) be the third derivative of z**6/540 - z**5/90 + 4*z**3/27 - 3*z**2. Solve v(p) = 0.
-1, 2
Find t such that -4*t + 6*t - 4*t**2 - 10*t = 0.
-2, 0
Suppose u - 4*u = u. Let v(p) be the first derivative of u*p + 0*p**2 + 5/4*p**4 - 4 + 4/5*p**5 + 1/6*p**6 + 2/3*p**3. Let v(r) = 0. What is r?
-2, -1, 0
Factor o**2 + 3*o - 3*o + 0*o + o**4 - 2*o**3.
o**2*(o - 1)**2
Let v be (-8)/(-140) - 2 - -2. Let r(m) be the first derivative of -2/21*m**3 + v*m**5 + 1 + 0*m**2 + 0*m + 0*m**4. Solve r(t) = 0.
-1, 0, 1
Let w(h) be the second derivative of 0 + 3/2*h**4 - 1/10*h**5 + 4*h + 27*h**2 - 9*h**3. Factor w(g).
-2*(g - 3)**3
Let y(w) be the second derivative of -5*w**7/42 - 5*w**6/6 - 5*w**5/2 - 25*w**4/6 - 25*w**3/6 - 5*w**2/2 + 17*w. Factor y(m).
-5*(m + 1)**5
Suppose -32 = -12*a + 4*a. Factor 0*i + 2/5*i**3 - 2/5*i**a + 0*i**2 + 0.
-2*i**3*(i - 1)/5
Let x be -1 - (-4)/((-100)/(-35))*2. Factor x*y - 3/5*y**2 - 6/5.
-3*(y - 2)*(y - 1)/5
Suppose 5*l - 2*l - 15 = 0, 0 = -3*d - 2*l + 19. Determine g so that -29*g**2 + 3*g**d + g**3 + 10*g**4 + 29*g**2 = 0.
-2/5, 0
Let w(a) be the first derivative of -5*a**6/36 + a**5/6 + 5*a**4/24 - 5*a**3/18 - 13. Factor w(c).
-5*c**2*(c - 1)**2*(c + 1)/6
Let y = -14 - -9. Let o(v) = -3*v**2 - 7*v + 1. Let g(l) = 3*l**2 + 8*l - 1. Let q(t) = y*g(t) - 6*o(t). Suppose q(b) = 0. Calculate b.
-1, 1/3
Let f(j) be the third derivative of 3*j**2 + 0*j - 1/33*j**3 + 1/66*j**4 + 0 - 1/330*j**5. Factor f(i).
-2*(i - 1)**2/11
Factor 4/3*t**2 + 2*t**3 + 0*t + 0 + 0*t**4 - 2/3*t**5.
-2*t**2*(t - 2)*(t + 1)**2/3
Let v be (-4 - -3)/(3/(-6)). Let i = 11 - 7. Determine p, given that 5*p**3 - 4*p**v + 1 + 2*p**i - 2*p**5 + 1 - p**3 - 2*p = 0.
-1, 1
Let w(c) be the second derivative of -10*c**7/21 + 2*c**6/5 + 7*c**5/5 - c**4 - 4*c**3/3 + 9*c. Suppose w(a) = 0. Calculate a.
-1, -2/5, 0, 1
Let g be ((-2)/9)/((-8)/96). Suppose 2/3*p**2 - 2/3 - g*p**3 + 8/3*p = 0. What is p?
-1, 1/4, 1
Suppose 0 = -3*m + 4*i - 2 + 10, -3*i - 6 = 2*m. Suppose 2/5*r**4 - 8/5*r + 0*r**2 + m + 6/5*r**3 = 0. What is r?
-2, 0, 1
Let j(d) be the first derivative of -d**4/6 + d**3/3 + 2*d**2 - 2*d + 3. Let g(i) be the first derivative of j(i). Solve g(p) = 0.
-1, 2
Let r(p) be the second derivative of -3/4*p**3 + 9/40*p**5 + 3*p - 1/12*p**4 + 1/2*p**2 + 0. Solve r(k) = 0 for k.
-1, 2/9, 1
Let l(q) = -8*q**2 + q - 1. Let u(t) be the first derivative of 5*t**3 - t**2 + t + 1. Let z(d) = -7*l(d) - 4*u(d). Factor z(j).
-(j - 1)*(4*j + 3)
Let i = 18 + -58. Let w be (16/(-12))/(i/12). Let 4/5*x + 0 - w*x**2 = 0. What is x?
0, 2
Let m = -269 - -1347/5. Find b such that 8/5*b - 8/5 - m*b**2 = 0.
2
Let z(p) be the second derivative of 1/2*p**6 + 0 - 27/20*p**5 - p**3 + 0*p**2 + 7/4*p**4 - 2*p - 1/14*p**7. Determine m so that z(m) = 0.
0, 1, 2
Factor -1/3 + 2/3*n - 2/3*n**3 + 1/3*n**4 + 0*n**2.
(n - 1)**3*(n + 1)/3
Let j(b) = b**2 - b. Let l(u) = -12*u**2 + 8*u - 2. Let h be (0 - -2) + (2 - 26). Let k(v) = h*j(v) - 2*l(v). Let k(x) = 0. Calculate x.
-2, -1
Suppose 11*k - 48 = 9*k. Factor -2 - 3 - 3 + k*t - 20*t + 12*t**2.
4*(t + 1)*(3*t - 2)
Let f(s) = -s - 3. Let t(m) = m + 2. Let k(g) = -2*f(g) - 3*t(g). Let d(l) = -l**3 + l**2 - 1. Let p(j) = -2*d(j) + 2*k(j). Solve p(z) = 0