e t(-5). Factor 4*f**4 - 5*f**4 - 2*f**4 + 3*f**a.
3*f**4*(f - 1)
Let z(w) = -3*w**2 + 2*w + 3. Let u(i) be the second derivative of -7*i**4/12 + 2*i**3/3 + 3*i**2 - 10*i. Let k(c) = 2*u(c) - 5*z(c). Factor k(o).
(o - 3)*(o + 1)
Let o = -826/3 - -253. Let x = 23 + o. Factor 0*n + 0 + x*n**4 + 8/3*n**2 - 8/3*n**3.
2*n**2*(n - 2)**2/3
Let l = 25/16 + 63/16. Let -1 - l*a - 2*a**3 - 13/2*a**2 = 0. What is a?
-2, -1, -1/4
Let u(b) = b**4 - b. Let g(v) = v**4 - 16*v**3 + 24*v**2 - 13*v + 4. Let d(n) = -g(n) - 3*u(n). Factor d(m).
-4*(m - 1)**4
Suppose 15*r**4 + 0*r**4 - 15*r**2 - 4*r**3 - 4*r**3 + 2*r**3 + 6*r = 0. Calculate r.
-1, 0, 2/5, 1
Suppose 5*w**2 + 1/2*w**5 + 1/2 + 5/2*w**4 + 5/2*w + 5*w**3 = 0. What is w?
-1
What is k in 4*k - 118*k**2 + 51*k**2 + 6*k**3 + 52*k**2 + 5*k = 0?
0, 1, 3/2
Let b(g) = -g**2 - 7*g - 1. Let i be b(-6). Suppose -4*d - o = d - 9, i*o + 1 = -2*d. Factor 4 - 1 + 2*j**3 - 1 + 0*j**2 - 2*j - 2*j**d.
2*(j - 1)**2*(j + 1)
Let q = -37 - -41. Suppose 0 + 5/4*m**3 + m - 7/4*m**q + 4*m**2 = 0. What is m?
-1, -2/7, 0, 2
Let b(m) be the first derivative of m**5/20 - 5*m**4/16 + 3*m**3/4 - 7*m**2/8 + m/2 - 6. Factor b(r).
(r - 2)*(r - 1)**3/4
Factor 0 + 0*h**2 + 0*h - 2*h**4 + 4/7*h**3.
-2*h**3*(7*h - 2)/7
Let x be 5/(-10)*(-4 - -4). Let k(j) be the third derivative of 1/12*j**5 + 0 + x*j**3 - 7/120*j**6 + 0*j + 1/12*j**4 - 2*j**2. Solve k(c) = 0 for c.
-2/7, 0, 1
Let n(c) be the second derivative of -c**5/40 + c**4/8 - c**3/6 + 3*c. Factor n(k).
-k*(k - 2)*(k - 1)/2
Let i(l) be the first derivative of -8/3*l - 4*l**2 + 5/6*l**4 - 2/3*l**3 - 4. Solve i(k) = 0 for k.
-1, -2/5, 2
Let g be (-3 - (-11)/4) + 30/56. Let -2/7*n**5 + 0*n**2 + g*n**3 + 0 + 0*n + 0*n**4 = 0. What is n?
-1, 0, 1
Let s(u) be the first derivative of -2*u**5/5 + u**4/2 + 2*u**3 - u**2 - 4*u + 7. Factor s(h).
-2*(h - 2)*(h - 1)*(h + 1)**2
Let f = 2784 + -111351/40. Let n(a) be the second derivative of -3*a + 5/24*a**4 - f*a**5 + 3/4*a**3 - 7/60*a**6 + 0 + 1/2*a**2. Find c such that n(c) = 0.
-1, -2/7, 1
Let l = 15 + -13. Let f(h) be the first derivative of -3/14*h**4 + 4/21*h**3 + 2/35*h**5 + 2 + 0*h + 0*h**l. Factor f(a).
2*a**2*(a - 2)*(a - 1)/7
Let m(i) be the first derivative of -1/20*i**5 - 1/4*i**3 + 0*i - 6 - 1/8*i**2 - 3/16*i**4. Factor m(v).
-v*(v + 1)**3/4
Suppose 11 + 32*v**2 - 28 - 4*v + 4*v**3 - 15 = 0. Calculate v.
-8, -1, 1
Let i be (1 + -2)*1*2. Let j = 0 - i. Factor 3 - 4 - 2*d - 3 + j*d**2.
2*(d - 2)*(d + 1)
Suppose 0 = -2*t - 0*t + 6. Suppose -t*l = -2*p + p + 11, 0 = 5*p + 4*l + 2. Factor -2/9*n**3 + 0 + 0*n**p + 2/9*n.
-2*n*(n - 1)*(n + 1)/9
What is g in 8*g**5 - 3*g**3 + g**3 - 4*g**5 + 10*g**3 + 12*g**4 = 0?
-2, -1, 0
Factor -5*o**2 + 5 + o**2 - 3 + 2.
-4*(o - 1)*(o + 1)
Let f(r) be the third derivative of r**6/40 + r**5/10 + r**4/8 + 2*r**2. Factor f(c).
3*c*(c + 1)**2
Let d(r) = r**2 - 3*r + 3. Let f be (2/4)/((-1)/2). Let t be (-3 - -1)/(f/(-2)). Let z(p) = -p**2 + 4*p - 4. Let g(n) = t*d(n) - 3*z(n). What is m in g(m) = 0?
0
Let k(i) be the first derivative of 4*i**3 + 4/5*i**2 + 2/5*i**5 + 23/10*i**4 - 3 - 16/5*i. Determine n, given that k(n) = 0.
-2, -1, 2/5
Let t = 1458/7 + -208. Solve 0*n + 0*n**2 + 0 + t*n**3 = 0.
0
Let x(p) be the third derivative of -1/35*p**7 + 0 + 0*p**3 + 1/20*p**5 + 0*p**4 + 1/40*p**6 + 0*p - 4*p**2. What is l in x(l) = 0?
-1/2, 0, 1
Let z(y) be the first derivative of 4*y**3/9 - y**2 + 2*y/3 + 19. Factor z(i).
2*(i - 1)*(2*i - 1)/3
Let o(n) = -n**2 - 1. Let v(b) = b - 3. Let c be v(4). Let a(l) = l. Let m(s) = c*o(s) + 2*a(s). Factor m(g).
-(g - 1)**2
Find i such that -3/2*i**5 + 3/2*i**4 + 0*i**3 + 0*i**2 + 0 + 0*i = 0.
0, 1
Let x(l) be the first derivative of 1 - 2*l - 1/60*l**5 + 1/18*l**3 + 0*l**4 + 0*l**2. Let o(c) be the first derivative of x(c). Find v such that o(v) = 0.
-1, 0, 1
Suppose -5*o - 9*o = -70. Let h(t) be the first derivative of -2/5*t**o + 1/3*t**6 + 0*t + 2/3*t**3 + 0*t**2 - 1/2*t**4 + 1. Factor h(v).
2*v**2*(v - 1)**2*(v + 1)
Let w = -4 + 8. Suppose w*p = 2*p. Factor 0 + 0*j**2 + p*j**4 - 2/5*j**3 + 0*j + 2/5*j**5.
2*j**3*(j - 1)*(j + 1)/5
Let a(v) = -v - 3. Suppose -2*m + 16 = -4*m. Let k be a(m). Factor 2*f**4 - 1/2*f**2 - 1/4*f**3 - 5/4*f**k + 0 + 0*f.
-f**2*(f - 1)**2*(5*f + 2)/4
Factor 6*i**5 + 2*i**3 - i**5 - i**5 - 6*i**3.
4*i**3*(i - 1)*(i + 1)
Let o = 1 + 3. What is g in -6*g + 4*g**3 - o*g**2 - g + 3*g + 4*g**4 + 0*g**3 = 0?
-1, 0, 1
Let n(x) be the first derivative of 8 + x**2 - 1/2*x**4 + 0*x + 3/5*x**5 - x**3. Factor n(l).
l*(l - 1)*(l + 1)*(3*l - 2)
Suppose 6*j - 15 = 3. Determine s, given that 2/9*s**j + 0 + 2/9*s - 4/9*s**2 = 0.
0, 1
Let s(f) be the third derivative of f**8/336 - f**7/210 - f**6/60 + f**5/30 + f**4/24 - f**3/6 - 3*f**2. Let s(z) = 0. Calculate z.
-1, 1
Factor 0 - 1/9*h - 1/9*h**2.
-h*(h + 1)/9
Let s(y) be the second derivative of -y**7/560 + y**6/240 - y**3/6 - y. Let x(a) be the second derivative of s(a). Let x(k) = 0. Calculate k.
0, 1
Let d be (-51)/8*(2 - 10/3). Suppose -5/2*o**4 + 11/2*o - 21/2*o**2 + d*o**3 - 1 = 0. Calculate o.
2/5, 1
Let b = -22 + 27. Suppose -2*t = -b*t. Find l, given that 7/2*l**5 - 7/2*l**3 - l**4 + t + l**2 + 0*l = 0.
-1, 0, 2/7, 1
Suppose 4*x + 2 = 10. What is l in 16*l**x + 13*l + l**3 + 10*l**2 + 2 + 14*l**3 = 0?
-1, -2/5, -1/3
Let u(w) be the first derivative of 4*w**3/9 - w**2 - 4*w/3 + 19. Suppose u(p) = 0. What is p?
-1/2, 2
Factor 13 - 6 - 75*w + 40*w**2 + 13 + 15*w**3.
5*(w - 1)*(w + 4)*(3*w - 1)
Let d(z) be the second derivative of 1/12*z**3 + 0 + 0*z**2 + 1/80*z**5 + 1/16*z**4 - 3*z. Solve d(b) = 0.
-2, -1, 0
What is q in -1/4*q**3 - 1/8 + 1/4*q**2 - 1/8*q**4 + 1/8*q**5 + 1/8*q = 0?
-1, 1
Let z(x) be the first derivative of -3 + 5/2*x**4 + 8/5*x**5 + 0*x**2 + 0*x + 1/3*x**6 + 4/3*x**3. Factor z(u).
2*u**2*(u + 1)**2*(u + 2)
Let m(p) be the second derivative of -p**6/180 - p**5/60 + p**4/6 - p**3/6 + 8*p. Let s(y) be the second derivative of m(y). Factor s(i).
-2*(i - 1)*(i + 2)
Factor 0 + 21/5*i + 3/5*i**2.
3*i*(i + 7)/5
Let p(c) be the second derivative of 0*c**2 + 0 + 0*c**3 + 0*c**4 + 3/20*c**5 - 3*c. Factor p(k).
3*k**3
Let i(f) = f**2 + f. Let z(p) = 4*p**2 + 5*p + 1. Let t = -5 - -14. Let s(a) = t*i(a) - 2*z(a). Solve s(h) = 0 for h.
-1, 2
Suppose -9*q + 10 = -8*q. Suppose 0 = -2*z - 5*j - q - 10, -j - 4 = -2*z. Factor 0*u + 4/13*u**3 + 2/13*u**4 + z + 2/13*u**2.
2*u**2*(u + 1)**2/13
Let n(u) be the second derivative of -u**9/7560 + 2*u**7/315 - 4*u**5/15 - u**4/2 - 3*u. Let p(r) be the third derivative of n(r). Solve p(f) = 0.
-2, 2
Let u = -14 - -16. Let -12*n - n**2 + 22*n + 9*n**2 + u*n**3 + 4 = 0. Calculate n.
-2, -1
Let s = -3 - -5. Let -3*i**4 + 0*i**2 + 4*i**2 - s*i**4 + i + i**4 - i**3 = 0. Calculate i.
-1, -1/4, 0, 1
Suppose 4 = -2*p + 5*m, m - 21 = -5*p - 2*m. Let j be -10*(p - (-21)/(-6)). Find z such that -z**2 - z**2 - 8*z - j - 3 = 0.
-2
Let k(z) be the third derivative of z**8/560 - z**7/350 + 14*z**2. Suppose k(c) = 0. What is c?
0, 1
Let j = 2248 + -539519/240. Let d(o) be the third derivative of 2*o**2 + 1/24*o**3 + 0*o + 0 + 1/96*o**4 - j*o**5 - 1/480*o**6. Let d(c) = 0. What is c?
-1, 1
Let d(u) be the second derivative of -7*u**4/18 + 5*u**3/3 - 8*u**2/3 + 40*u + 2. What is n in d(n) = 0?
1, 8/7
Let g be 3 + 1 + 4 + -5. Factor -g + 2*m - m**2 + 7 - 4.
-m*(m - 2)
Suppose -12*o + 24 = -9*o. Determine p so that -o*p**2 + 6*p**2 + p + 2 - 3*p + 2 = 0.
-2, 1
Let o(z) be the third derivative of -z**7/210 + 23*z**6/840 - 9*z**5/140 + 13*z**4/168 - z**3/21 - z**2. Factor o(f).
-(f - 1)**3*(7*f - 2)/7
Let o(c) = c + 11. Suppose -h - 4 = -0*h, -2*y - 3*h - 28 = 0. Let d be o(y). Find f such that 0*f**2 + 0 + 6/7*f**5 - 10/7*f**4 + 4/7*f**d + 0*f = 0.
0, 2/3, 1
Let p(l) = -65*l + 11. Let o(f) = f**2 + 1. Let a(z) = -21*o(z) - 3*p(z). Let a(j) = 0. What is j?
2/7, 9
Let b(g) be the second derivative of g**4/18 + 8*g**3/3 + 48*g**2 + g - 2. Factor b(o).
2*(o + 12)**2/3
Suppose 0 = -2*o + k + 8, 0*k - 22 = -3*o + 4*k. What is t in 0 + 2/7*t + 2/7*t**o = 0?
-1, 0
Let x(y) be the first derivative of y**7/63 - y**6/15 + y**5/10 - y**4/18 - 5*y - 4. Let s(l) be the first derivative of x(l). Solve s(n) = 0.
0, 1
Let k be 1/1 + 1 + -2. Factor 1/2*g**4 + 0 - 1/2*g**2 + k*g + 0*g**3.
g**2*(g - 1)*(g