k(y) = -1 + 0*y**3 + y**2 + 16*y**4 - y**3 - 15*y**4. Let z(j) = g(j) - 3*k(j). Factor z(f).
-3*f**2*(f - 2)*(5*f + 2)
Let j(i) = i**3 - 7*i**2 - 8*i. Let h be j(8). Let d be (-1)/(h - (-1)/(-4)). Suppose 0 + 3/4*g**5 - 1/4*g**2 + 1/4*g**3 + 0*g + 5/4*g**d = 0. Calculate g.
-1, 0, 1/3
What is s in 5*s + 3 - 3 + 0 + 5*s**3 + 10*s**2 = 0?
-1, 0
Let w(q) = 3*q + 5 - 4*q - 10. Let m be w(-7). Let 16*f**3 + 4*f - 2*f + 10*f**4 + 11*f**m - 3*f**4 = 0. What is f?
-1, -2/7, 0
Suppose -14 = -s - 2*x, 20 = 4*s + x - 2*x. Suppose -5*k + 35 = 5*u, 4*u + k = s*k - 17. Factor 2/7*h - 2/7*h**u - 2/7*h**3 + 2/7.
-2*(h - 1)*(h + 1)**2/7
Let p = 145/4 - 44. Let v = 163/20 + p. Let v*r**2 + 0*r + 0 = 0. Calculate r.
0
Factor 0 + 0*h - 10/19*h**3 + 2/19*h**2.
-2*h**2*(5*h - 1)/19
Let x(w) be the third derivative of 0 + 13/72*w**4 - 7/90*w**6 + 0*w - 1/9*w**3 - 7*w**2 - 13/180*w**5. Suppose x(z) = 0. Calculate z.
-1, 1/4, 2/7
Let w(c) = -c + 15. Let x be w(9). Let z = 9 - x. Suppose 5*v**2 + 5 - 4*v - 3 - z*v**2 = 0. Calculate v.
1
Factor q**2 - 7*q + 18*q - 10*q.
q*(q + 1)
Suppose 3*u - 3 = -y, 15*y - 10*y = -5*u + 5. Factor y*v**2 + 0 - 1/3*v**4 + 0*v + 1/3*v**3.
-v**3*(v - 1)/3
Let s(i) be the second derivative of 4*i**2 + 8*i - 2*i**3 + 0 + 1/3*i**4. Find k such that s(k) = 0.
1, 2
Let n(i) = -i**3 + i. Let x(a) = 2*a**5 + 3*a**4 - 6*a**3 - 4*a**2 + 4*a + 1. Let q(y) = -4*n(y) + x(y). Factor q(f).
(f - 1)*(f + 1)**3*(2*f - 1)
Let r(l) = l**3 + 3*l**2 - l + 1. Let i be r(-3). Factor 5 + 12*o**3 - o - 10*o**3 - i - o**5 + o**4 - 2*o**2.
-(o - 1)**3*(o + 1)**2
Suppose -l = -3*l - 2. Let g be l + (3 - 0) - -1. Factor -3/4*a**g + 0 + 3/4*a**2 + 1/4*a**4 - 1/4*a.
a*(a - 1)**3/4
Let y(u) = 2*u**2 + 13*u + 3. Let d(w) = -2*w**2 - 12*w - 4. Let h(q) = -5*d(q) - 4*y(q). Factor h(s).
2*(s + 2)**2
Solve 18/7*h**3 - 12/7*h**4 + 2/7*h**5 + 0*h**2 + 0*h + 0 = 0.
0, 3
Suppose -4*a = 5*p + 12, 11 = -3*p - 5*a - 4. Suppose 0*f + 5*f = p. Factor f*d + 0 - 1/3*d**4 + 0*d**3 + 1/3*d**2.
-d**2*(d - 1)*(d + 1)/3
Let d(y) = 18*y - 34. Let z be d(2). Factor 7/2*w + 5/2*w**3 - 9/2*w**z - 1/2*w**4 - 1.
-(w - 2)*(w - 1)**3/2
Let u(t) be the second derivative of -t**7/630 + t**6/360 - t**2/2 - 3*t. Let k(j) be the first derivative of u(j). Suppose k(b) = 0. What is b?
0, 1
What is f in 0 + 1/3*f**3 + 0*f + 1/3*f**2 = 0?
-1, 0
Let f be (-6)/((-7)/7) - (2 - -1). Let 0*k - 1/4*k**f + 0*k**2 - 1/4*k**4 + 0 = 0. What is k?
-1, 0
Suppose -6 = -4*t + 2. Let y = 95/78 - -3/26. Solve 1/3 + y*s + 1/3*s**4 + 4/3*s**3 + t*s**2 = 0 for s.
-1
Let n(z) = -10*z**3 + 20*z**2 - 2*z. Let f(y) = 11*y**3 - 21*y**2 + y - 1. Let a(x) = -4*f(x) - 5*n(x). Determine q so that a(q) = 0.
-1/3, 1, 2
Let n(j) be the first derivative of -1/15*j**3 + 0*j**2 - 1/50*j**5 + 2 + 2*j + 1/15*j**4. Let c(l) be the first derivative of n(l). Solve c(x) = 0 for x.
0, 1
Let v = 887/3 - 295. Find b, given that 0*b + 0 + v*b**2 + 2/3*b**3 = 0.
-1, 0
Let n = 194 + -192. Suppose 2/5*q**3 + 0*q - 1/5*q**n + 0 - 1/5*q**4 = 0. What is q?
0, 1
Let y(h) be the third derivative of 0*h**4 - 1/1344*h**8 + 0*h**3 + 0 + 0*h**5 - 1/240*h**6 + 0*h - 1/280*h**7 - 2*h**2. Factor y(b).
-b**3*(b + 1)*(b + 2)/4
Let f(w) be the third derivative of -w**7/70 + w**6/20 + 3*w**5/20 - w**4/2 - 2*w**3 - 5*w**2. Factor f(m).
-3*(m - 2)**2*(m + 1)**2
Let q be (-4)/(-16) + 19/4. Suppose -a - h + 7 = 0, -3*a + 1 - 12 = -q*h. Factor -c**5 + 0*c**3 + c**2 + c**2 + a*c**3.
-c**2*(c - 2)*(c + 1)**2
Let r(v) be the first derivative of 7*v**6/12 - 8*v**5/5 - 3*v**4 + 32*v**3/3 - 4*v**2 - 4. What is f in r(f) = 0?
-2, 0, 2/7, 2
Let x(a) be the first derivative of -a**6/27 + 2*a**5/15 - a**4/6 + 2*a**3/27 + 2*a + 4. Let k(t) be the first derivative of x(t). Determine n so that k(n) = 0.
0, 2/5, 1
Let l = -28 - -45. Let t(m) = -m**2 - 29*m + 6. Let i(g) = 10*g - 2. Let u(c) = l*i(c) + 6*t(c). Factor u(b).
-2*(b + 1)*(3*b - 1)
Let t = -997/9 - -111. Let 0 - t*d**2 - 2/9*d = 0. What is d?
-1, 0
Let r(l) be the first derivative of -1/6*l**6 + 2/3*l**3 - 2/5*l**5 + 3 + 0*l + 0*l**2 + 1/4*l**4. Factor r(q).
-q**2*(q - 1)*(q + 1)*(q + 2)
Factor 0 + 1/2*z**3 - 1/4*z**2 - 1/4*z**4 + 0*z.
-z**2*(z - 1)**2/4
Suppose -20 = -5*v + 5*s, -2*v - 2*s - 20 = 3*s. Let h(a) = a**2 + 5*a - 12. Let u be h(-7). Determine k so that 1/2*k + v - 1/4*k**u = 0.
0, 2
Let 0 - 1/4*v**3 - 1/4*v**4 + 1/4*v**2 + 1/4*v = 0. What is v?
-1, 0, 1
Determine w so that 8/7 - 8/7*w + 2/7*w**2 = 0.
2
Let l = -9 - -11. Find v such that 2 + 4*v**2 + 2*v**2 + v - 3*v**l - 4*v**2 = 0.
-1, 2
Let u = -3/20 - -11/20. Let g(o) be the first derivative of 2 + 2/9*o**3 + 0*o + 1/9*o**6 + 0*o**2 + 1/2*o**4 + u*o**5. What is t in g(t) = 0?
-1, 0
Let p = -6 + 5. Let a be (21/(-6) + 3)*p. Solve -1/2*g**3 - 1/2*g**4 + a*g + 1/2*g**2 + 0 = 0 for g.
-1, 0, 1
Let s(x) be the second derivative of x**6/24 + x**5/8 + 6*x. Solve s(h) = 0 for h.
-2, 0
Let l be (-158)/(-434) + 14/217. Find w such that l - 3/7*w**2 + 0*w = 0.
-1, 1
Let c(g) be the third derivative of 0*g**3 + 0*g + 1/12*g**4 - 1/70*g**7 + 1/20*g**5 - g**2 - 1/60*g**6 + 0. Let c(z) = 0. What is z?
-1, -2/3, 0, 1
Let d(r) = -3*r**2. Let w(l) = -l**2. Let v(j) = -3*d(j) + 6*w(j). Let v(c) = 0. Calculate c.
0
Let s(n) = -3*n**4 + 3*n**2 - 5*n. Suppose 0 = -4*l + 13 + 3. Let c(o) = 3*o**4 - 3*o**2 + 4*o. Let p(r) = l*s(r) + 5*c(r). Determine j so that p(j) = 0.
-1, 0, 1
Let m be 2/(-3) - 126/(-27). Suppose 0 = m*g - 0*g - 8. Factor 1/3 + 4/3*a + 4/3*a**g.
(2*a + 1)**2/3
Let g = 4842 + -19219/4. Let n = g + -37. Solve 1/4 + n*s**2 + 1/2*s = 0 for s.
-1
Let q(u) be the first derivative of -2*u**3/9 + 2*u/3 - 5. Factor q(o).
-2*(o - 1)*(o + 1)/3
Let b = -536/5 + 3782/35. Factor 0*p + b*p**2 + 2/7*p**3 - 8/7.
2*(p - 1)*(p + 2)**2/7
Suppose -2*y - 3 - 1 = 0. Let b = y + 7. Factor -1/2*g**2 - 2*g**3 + 0*g + 0 - 5/2*g**4 - g**b.
-g**2*(g + 1)**2*(2*g + 1)/2
Factor -4/7*w**2 + 8/7*w**3 + 18/7 - 24/7*w + 2/7*w**4.
2*(w - 1)**2*(w + 3)**2/7
Let f(q) be the first derivative of -q**4/4 + 5*q**3/9 + q**2/3 - 1. Factor f(s).
-s*(s - 2)*(3*s + 1)/3
Factor -3/2*y**3 - 9/4*y**4 + 3/2*y**2 - 3/4*y**5 + 9/4*y + 3/4.
-3*(y - 1)*(y + 1)**4/4
Let y = -2 - -8/3. Let z = 1049 + -1049. Factor 2/9*c**4 + z + 4/9*c**2 - y*c**3 + 0*c.
2*c**2*(c - 2)*(c - 1)/9
Let y = 30 + -28. Let i(h) be the first derivative of 0*h**y - 8*h**5 + 4/3*h**3 + 0*h - 3/2*h**4 + 3. Let i(k) = 0. Calculate k.
-2/5, 0, 1/4
Let r(q) be the first derivative of q**8/672 + q**7/180 + q**6/144 + q**5/360 + 5*q**2/2 + 3. Let f(s) be the second derivative of r(s). Factor f(d).
d**2*(d + 1)**2*(3*d + 1)/6
Let o(i) be the first derivative of -3*i**4/4 + 2*i**3 + 3*i**2/2 - 6*i + 9. Factor o(d).
-3*(d - 2)*(d - 1)*(d + 1)
Let o = 109 + -107. Let s(t) be the second derivative of -t + 0*t**3 + 1/8*t**o - 1/48*t**4 + 0. Solve s(z) = 0 for z.
-1, 1
Let t(v) be the first derivative of 1 - 7/5*v**5 + 2*v + 9/4*v**4 - 9/2*v**2 + 5/3*v**3. Determine x so that t(x) = 0.
-1, 2/7, 1
Let g(t) be the second derivative of -t**5/4 - 5*t**4/3 + 5*t**3/6 + 10*t**2 - 2*t. Factor g(j).
-5*(j - 1)*(j + 1)*(j + 4)
Find g such that -1/4*g**3 + 3/2 - 13/4*g + 2*g**2 = 0.
1, 6
Let v(i) be the second derivative of i**3 + 0 + 1/6*i**4 + 2*i + 2*i**2. Suppose v(c) = 0. Calculate c.
-2, -1
Let d(j) = j + 20. Let h be d(-15). Suppose 8 = k + h. Factor -2*v**k - 14/3*v + 4/3 + 16/3*v**2.
-2*(v - 1)**2*(3*v - 2)/3
Determine f, given that -6/7 - 2/7*f + 6/7*f**2 + 2/7*f**3 = 0.
-3, -1, 1
Let p(w) = 0*w**3 - w**3 + 0*w**3 - 5 - 4*w**2 - 2*w. Let c be p(-4). Suppose 4*u**4 - 2*u**4 - c*u**4 = 0. What is u?
0
Factor 14*s - 14*s - s**2.
-s**2
Let o(f) = f**2 + 2*f - 1. Let w be o(1). Let m(c) be the second derivative of -1/6*c**3 + 0*c**w - c + 0 - 1/12*c**4. Factor m(y).
-y*(y + 1)
Let t = 51 - 47. Factor -3*z**2 - 27*z**t + 81/4*z**5 + 0 + 1/4*z + 27/2*z**3.
z*(3*z - 1)**4/4
Suppose -s + 5*p = -2*s - 27, 2 = -2*s + 3*p. Let x = s - -7. Factor -o**3 - 1/2*o**4 - 1/2*o**2 + 0*o + x.
-o**2*(o + 1)**2/2
Suppose 10 + 14 = 6*s. Let g(n) be the second derivative of 5/42*n**s - 2*n - 2/35*n**5 - 2/21*n**3 + 0*n**2 + 1/105*n**6 + 0. Let g(w) = 0. What is w?
0, 1, 2
Suppose 3*c + 15 + 3 = 0. Let j = -2 - c. What is w in 2 + 1 - j*w - 5 - 2*w**2 = 0?
-1
Suppose 4*z - r + 3*r 