 + 4*y**2. What is s in t(s) = 0?
-1, 4
Let h(u) be the first derivative of 10 - 1/5*u**2 - 4/5*u + 1/10*u**4 + 4/15*u**3. Factor h(l).
2*(l - 1)*(l + 1)*(l + 2)/5
Let g(f) be the third derivative of -f**6/120 - f**5/60 + f**4/12 - f**2 - 16*f. Factor g(d).
-d*(d - 1)*(d + 2)
Suppose -5*l - 6 = -5*u - 4*l, -3*u = -l - 2. Determine b, given that 1/2 + b + 1/2*b**u = 0.
-1
Let k(i) be the first derivative of -15*i**4/4 - 5*i**3/3 + 15*i**2/2 + 5*i - 12. Determine w, given that k(w) = 0.
-1, -1/3, 1
Let 5/2*v**2 - 10*v**4 - 5/4*v**3 - 25/4*v**5 + 0*v + 0 = 0. What is v?
-1, 0, 2/5
Let s(p) be the first derivative of -1 - 7/11*p**2 - 4/11*p + 7/22*p**4 + 4/33*p**3. Let s(u) = 0. What is u?
-1, -2/7, 1
Let c(z) = 4*z**2 - 8*z - 14. Let l(v) = v + 2. Let f be l(4). Let b(a) = -a**2 + 1. Let s(x) = f*b(x) + c(x). Factor s(p).
-2*(p + 2)**2
Let b = -677 - -4743/7. Let 6/7*y + b - 2/7*y**3 + 0*y**2 = 0. Calculate y.
-1, 2
Let i(v) be the third derivative of v**5/40 + v**4/4 + v**3 - 3*v**2. Let i(f) = 0. Calculate f.
-2
Let f = 93 + -88. Let g(u) be the second derivative of 7/9*u**3 - 1/6*u**4 - 7/30*u**f + 0 - 2/3*u**2 + 1/9*u**6 - 4*u. Solve g(a) = 0 for a.
-1, 2/5, 1
Let n(l) be the first derivative of l**4 - 32. Factor n(u).
4*u**3
Determine o, given that -18*o + 5*o**3 - 11*o**3 + 3*o**3 - 15*o**2 = 0.
-3, -2, 0
Let b(r) be the first derivative of 3*r**5/5 + 3*r**4/2 - 3*r**3 + 12. Suppose b(j) = 0. Calculate j.
-3, 0, 1
Let v(w) be the second derivative of w**7/336 - w**6/40 + 3*w**5/40 - w**4/12 + 42*w. Factor v(l).
l**2*(l - 2)**3/8
Let w(k) = 6*k**4 + 4*k**3 - k**2 + 5*k. Let z = 10 - 1. Let o be 3/2 - z/2. Let x(g) = g**4 - g**2 + g. Let u(r) = o*w(r) + 15*x(r). Factor u(p).
-3*p**2*(p + 2)**2
Let s(q) be the third derivative of 1/30*q**6 - 4*q**2 + 0*q - 5/6*q**4 + 0 - 2*q**3 - 1/15*q**5. Factor s(t).
4*(t - 3)*(t + 1)**2
Factor -9*c**3 - 8 - 8*c**3 + 9*c**3 + 3*c**2 + 3*c**2 + 2*c**4 + 8*c.
2*(c - 2)**2*(c - 1)*(c + 1)
Let r = 6733/51 + -132. Let m = r + 199/255. Factor -2/5 + m*s - 2/5*s**2.
-2*(s - 1)**2/5
Let o = -14/15 - -26/15. What is w in o + 2/5*w**2 - 6/5*w = 0?
1, 2
Let j(t) = -t + 10. Let k be j(6). Suppose 0*r + 4 = r. Factor 2*l + 3*l**k + l**2 - l - r*l**3 - l**3.
l*(l - 1)**2*(3*l + 1)
Determine y so that 6*y**4 - 3*y**4 + 4*y**4 + 5*y**3 - 5*y - 2*y**4 - 5*y**2 = 0.
-1, 0, 1
Let h = -239/115440 - -3/481. Let s(y) be the third derivative of 0*y - 1/48*y**4 + 2*y**2 - h*y**5 - 1/24*y**3 + 0. Factor s(a).
-(a + 1)**2/4
Let i(n) be the third derivative of 7*n**5/60 + 3*n**4/8 + n**3/3 - 7*n**2. Factor i(m).
(m + 1)*(7*m + 2)
Let g(v) be the second derivative of -v**5 + 8*v**4/3 + 8*v**3/3 + 7*v. Determine w, given that g(w) = 0.
-2/5, 0, 2
Let h(k) be the third derivative of -k**8/504 + k**6/90 - k**4/36 - 12*k**2. What is a in h(a) = 0?
-1, 0, 1
Let d(x) be the third derivative of -5*x**7/147 - x**6/14 + 11*x**5/210 + x**4/7 - 4*x**3/21 - 6*x**2. Factor d(g).
-2*(g + 1)**2*(5*g - 2)**2/7
Let z be -2*(-3)/(-4)*-2. Suppose -z = -r - 1. Suppose 0*t - 2*t + 8*t**4 - 16*t**r + 17*t**4 - 5*t**3 - 2*t = 0. What is t?
-2/5, 0, 1
Find x such that -3/5*x**5 + 6/5*x**4 - 39/5*x - 12/5*x**2 + 18/5*x**3 - 18/5 = 0.
-1, 2, 3
Let r be 1 - (-1)/((-4 - 0)/(-4)). Factor -1/2*g**3 + g**r - 1/2*g + 0.
-g*(g - 1)**2/2
Let u(a) be the second derivative of 2*a**2 + 1/12*a**4 + 1/30*a**5 + 0*a**3 + 0 - 2*a. Let d(q) be the first derivative of u(q). Factor d(m).
2*m*(m + 1)
Suppose 3 = t + 1. Let o(i) be the second derivative of i**t + 1/2*i**4 - 1/10*i**5 + 2*i - i**3 + 0. Factor o(w).
-2*(w - 1)**3
Suppose -u = -3*q + 7*q - 6, -2*q = -2. Factor 0 - 1/4*s**u + 0*s + 1/4*s**3.
s**2*(s - 1)/4
Let z(a) be the second derivative of a**6/285 + 2*a**5/95 + a**4/114 - 2*a**3/19 + 18*a. Factor z(n).
2*n*(n - 1)*(n + 2)*(n + 3)/19
Let k(p) be the third derivative of p**9/302400 + p**8/33600 + p**7/8400 + p**6/3600 + p**5/10 - 6*p**2. Let l(z) be the third derivative of k(z). Factor l(a).
(a + 1)**3/5
Find u such that -64/7*u**2 + 18/7*u**5 + 48/7*u**4 + 32/7*u - 16/7*u**3 + 0 = 0.
-2, 0, 2/3
Let d(w) = 2*w**3 - 5*w + 5. Let n be d(4). What is x in -113*x + 2*x**4 + n*x = 0?
0
Suppose 0 = 3*n + 4*v + 17 - 7, -5*v - 20 = 0. Suppose 2*b = 2*h - 14, -2*h + 0*b + 4*b + 22 = 0. Determine d, given that -2*d + 7*d**n - 11 + 11 - 5*d**h = 0.
0, 2/5, 1
Factor 1/2 + 9/4*f**3 + 1/2*f**4 + 9/4*f + 7/2*f**2.
(f + 1)**2*(f + 2)*(2*f + 1)/4
Let l(d) = 6 - 2*d**2 - 1 - 3*d**2. Let q(c) be the first derivative of 4*c**3/3 - 4*c + 7. Let k(r) = -5*l(r) - 6*q(r). Factor k(z).
(z - 1)*(z + 1)
Let c(m) = m + 8. Let y(v) = -5*v. Let p be y(1). Let r be c(p). Solve 1 + 2 + w**5 - w**3 + 3 + r*w**4 - 7*w**2 - 2 = 0 for w.
-2, -1, 1
Let m be 158/(-6) + -2 + -1. Let f = m - -30. Suppose f*s**5 + 0*s**2 + 2/3*s**3 + 0*s + 0 + 4/3*s**4 = 0. What is s?
-1, 0
Determine h so that 8*h**3 + 6*h + h - 2*h**4 - 3*h - 10*h**2 = 0.
0, 1, 2
Find z such that -2/7*z**5 + 2/7*z**3 - 4/7*z**2 + 0 + 4/7*z**4 + 0*z = 0.
-1, 0, 1, 2
Let r(j) = -8*j**2 - 12*j + 12. Let o(b) = 7*b**2 + 12*b - 13. Let k(i) = 4*o(i) + 3*r(i). Factor k(c).
4*(c - 1)*(c + 4)
Let t(r) be the first derivative of 7*r**6/18 + 11*r**5/5 + 8*r**4/3 - 40*r**3/9 - 8*r**2 + 16*r/3 + 31. Factor t(n).
(n - 1)*(n + 2)**3*(7*n - 2)/3
Let o be (4/18)/((-2)/6 - -1). Suppose o*s**2 + 0 + 1/3*s = 0. What is s?
-1, 0
Let b = 1127/3 - 375. Factor -l + 1/3*l**2 + b.
(l - 2)*(l - 1)/3
Let n(h) = -1. Let q be (4 - 14/5)*-10. Let y(k) = 4*k**2 + 2*k - 18. Let i(f) = q*n(f) + y(f). Factor i(v).
2*(v - 1)*(2*v + 3)
Suppose 2*k - z + 0 = 3, k - 2*z = 6. Let y(t) be the third derivative of 0 - t**2 - 7/90*t**5 - 1/4*t**4 + k*t - 2/9*t**3. Let y(b) = 0. Calculate b.
-1, -2/7
Suppose 3*r + 4*y - 2*y = 23, -4*r = 5*y - 40. Suppose r*j - j - 48 = 0. Solve -3/2*z**3 - 9*z**2 - j - 18*z = 0.
-2
Let t(f) = -f**4 - f**3 - 5*f**2 + 7. Let d(j) = -3*j**2 + 3. Let c be (-32)/(-10) + (-2)/10. Let u(y) = c*t(y) - 7*d(y). Factor u(l).
-3*l**2*(l - 1)*(l + 2)
Suppose -5*z + 4 = -11. What is a in 3*a - 4*a**2 - 2/3 + 5/3*a**z = 0?
2/5, 1
Factor -4/9*p - 2/9*p**4 + 2/9*p**2 + 0 + 4/9*p**3.
-2*p*(p - 2)*(p - 1)*(p + 1)/9
Let v(a) be the third derivative of -a**6/30 + a**5/5 + 6*a**2. Factor v(y).
-4*y**2*(y - 3)
Let t(p) be the second derivative of p**5/240 + p**4/48 + p**3/24 + p**2 + 4*p. Let w(i) be the first derivative of t(i). Find y such that w(y) = 0.
-1
Let i(x) = -9*x**2 - 19*x - 31. Let q be ((-105)/(-6))/(-7)*-2. Let v(s) = 14*s**2 + 28*s + 46. Let y(t) = q*v(t) + 8*i(t). Factor y(p).
-2*(p + 3)**2
Let o = 8 - 4. Factor 2*h**o - 3*h - 4*h**4 - 4*h**3 + h - 5*h**2 + h**4.
-h*(h + 1)**2*(h + 2)
Let i(u) = 4*u**4 - 3*u**3 - 5*u - 5. Let c(x) = x**3 - x - 1. Let y(o) = 5*c(o) - i(o). Let y(g) = 0. What is g?
0, 2
Let z(b) be the second derivative of 0 + 0*b**2 + 2*b + 1/120*b**6 + 1/24*b**3 + 3/80*b**5 + 1/16*b**4. Determine x, given that z(x) = 0.
-1, 0
Let i(y) = 8*y**4 + 4*y**3 - 8*y**2 + 8*y. Suppose 5*g + 41 = 11. Let d(j) = 7*j**4 + 3*j**3 - 7*j**2 + 7*j. Let m(h) = g*d(h) + 5*i(h). Factor m(b).
-2*b*(b - 1)**2*(b + 1)
Let z = -4 - -6. Factor -2*f**3 - 8 + 6*f + z + 2 + 0*f**3.
-2*(f - 1)**2*(f + 2)
Find b such that 16/3*b**3 + 6*b**2 - 10/3*b**4 - 8/3 - 16/3*b = 0.
-1, -2/5, 1, 2
Let q(y) = y**2 - 4*y. Let u = 6 - 10. Let c(l) = -1. Let d(r) = u*q(r) + 12*c(r). Factor d(v).
-4*(v - 3)*(v - 1)
Let y(t) be the first derivative of 0*t**2 + 1/6*t**3 + t + 3 - 1/24*t**4 - 1/40*t**5. Let g(r) be the first derivative of y(r). Factor g(p).
-p*(p - 1)*(p + 2)/2
Let s(w) = w**3 - 5*w**2 - 4*w - 5. Let g be s(6). Let j(x) = -x**3 + 8*x**2 - 7*x. Let i be j(g). Factor i*o + 1/4*o**3 - 1/4*o**2 + 0.
o**2*(o - 1)/4
Factor -1 - 1 + 4*a**2 + 8*a**2 + 6 - 16*a.
4*(a - 1)*(3*a - 1)
Let i be (50/20)/((-1)/(-2)). Suppose -16 - 5*m**2 - 8*m - m**2 + i*m**2 = 0. What is m?
-4
Suppose 4*v - v = 9. Determine c so that -6 + 3*c**v - 3*c**2 - 65*c + 50*c - 3 = 0.
-1, 3
Determine v so that 0 - v**2 - v - 1/4*v**3 = 0.
-2, 0
Let w(j) be the third derivative of 1/1344*j**8 + 3*j**2 + 0*j**3 + 0*j**4 + 0*j**5 + 1/480*j**6 + 0*j + 0 - 1/420*j**7. Find z, given that w(z) = 0.
0, 1
Suppose 1/4 + 9/8*n**2 + 1/8*n**4 + 5/8*n**3 + 7/8*n = 0. What is n?
-2, -1
Factor -1/11*o**2 - 9/11 + 6/1