*q**4 + 32/5 + 16/5*q**3 + 48/5*q**2 + y*q.
2*(q + 2)**4/5
Suppose -h + 8 = 2*w - 2, -5*w + 18 = -h. Factor -278*t**3 - 13*t**2 + 115*t**4 + 48*t + 299*t**w - 162*t**5 + 8 - 17*t**2.
-2*(t - 1)**3*(9*t + 2)**2
Suppose 64*p - 46*p = 90. Factor -2/9*l**4 + 0 - 2/3*l**3 - 4/9*l + 10/9*l**2 + 2/9*l**p.
2*l*(l - 1)**3*(l + 2)/9
Let m = 163 + -163. Factor 0*a**2 + m*a + 2/7*a**5 + 0 - 2/7*a**3 + 0*a**4.
2*a**3*(a - 1)*(a + 1)/7
Suppose 3*y - c = 10, 6*y + 4*c = y + 45. Let m(j) be the third derivative of 0 - 1/21*j**3 + 0*j + j**2 + 0*j**4 + 1/210*j**y. Factor m(b).
2*(b - 1)*(b + 1)/7
Let g(v) be the third derivative of v**5/240 + v**4/12 + 2*v**3/3 - 11*v**2. Factor g(b).
(b + 4)**2/4
Let f(v) be the third derivative of 0 - 8*v**2 + 1/40*v**5 + 1/160*v**6 - 1/4*v**3 + 0*v - 1/32*v**4. Suppose f(w) = 0. What is w?
-2, -1, 1
Let q(w) be the second derivative of w + 0*w**4 + 0*w**3 - 5/21*w**7 + 0*w**2 - 1/5*w**5 + 0 + 7/15*w**6. Factor q(h).
-2*h**3*(h - 1)*(5*h - 2)
Let y(j) be the first derivative of -j**4/4 - 4*j**3/3 - 2*j**2 - 1. What is q in y(q) = 0?
-2, 0
Let q(n) be the third derivative of n**6/40 + n**5/20 - n**4/4 - 12*n**2. Suppose q(c) = 0. What is c?
-2, 0, 1
Suppose 12 + 4 = 4*r. Let c be 80*r*(-3)/(-210). Let -4/7 - 12/7*n**4 - c*n**2 - 2/7*n**5 - 18/7*n - 4*n**3 = 0. Calculate n.
-2, -1
Suppose 3*y - 5*g = -2, -y - g + 3*g - 2 = 0. Let w be y/4 - (-1)/2. Factor -4*d**w + 4*d**4 - 2*d**5 - 2*d - 2*d**4 + 2 + 0 + 4*d**3.
-2*(d - 1)**3*(d + 1)**2
Let f(i) = -i - 5. Let a be f(-8). Factor 4*o**3 + 18*o**2 + 3*o**4 + 0*o + 12*o + a + 8*o**3.
3*(o + 1)**4
Determine v so that 16*v + 24*v**2 - 14*v**3 - 3*v**4 - 4*v**3 - 2*v**3 + 7*v**4 - 32 = 0.
-1, 2
Let a(v) = v**3 + v**2. Let x(i) = -9*i**3 - 6*i**2 + 3*i. Let k(w) = -6*a(w) - x(w). Factor k(c).
3*c*(c - 1)*(c + 1)
Suppose 3*v**3 + 26*v**2 - 5*v**3 - 24*v**2 = 0. Calculate v.
0, 1
Let a be (-44)/(1 + (-44)/40). Let l be (-2)/9 + a/90. Factor -2/3 - 10*q**2 - l*q - 6*q**3.
-2*(q + 1)*(3*q + 1)**2/3
Let j(w) be the third derivative of -w**6/60 + w**5/3 - w**4 - 24*w**3 - 39*w**2. Factor j(p).
-2*(p - 6)**2*(p + 2)
Factor 1/3*p**2 - 1/3*p**3 + 0*p + 0.
-p**2*(p - 1)/3
Let k(r) be the first derivative of 5*r**4/4 + 25*r**3/3 + 10*r**2 - 8. Suppose k(b) = 0. What is b?
-4, -1, 0
Let y(h) be the first derivative of h**5/100 - h**4/15 + h**3/6 - h**2/5 + 4*h - 2. Let s(b) be the first derivative of y(b). Factor s(q).
(q - 2)*(q - 1)**2/5
Let c be 3/(-9)*2/(-4). Let r(t) be the second derivative of -t**2 + c*t**4 + 1/3*t**3 - 1/10*t**5 + 0 - t. Factor r(j).
-2*(j - 1)**2*(j + 1)
Suppose 2 + 10 = 2*d. Let k be ((-4)/d)/(10/(-6)). Suppose 2/5*g - k*g**3 - 2/5*g**2 + 2/5 = 0. What is g?
-1, 1
Suppose 2*k = -0*k + 6. Let d be (-4 + 4 + -3)*-1. Factor 1 + k*f**2 - 5*f - f**d + 0*f**3 + 2*f + 0*f.
-(f - 1)**3
Let b = 729/23 - -357/115. Find n, given that -b*n**2 + 24/5 + 324*n**4 + 873/5*n**3 + 729/5*n**5 - 132/5*n = 0.
-1, -2/3, 2/9
Let y(v) be the first derivative of 2/9*v**3 + 1/6*v**4 + 1 - 2/15*v**5 + 0*v**2 - 1/9*v**6 + 0*v. Solve y(a) = 0.
-1, 0, 1
Let q(y) be the third derivative of 0*y**3 + 0 + 0*y**7 - 1/112*y**8 + y**2 + 0*y**5 + 0*y + 0*y**4 + 0*y**6. Factor q(i).
-3*i**5
Let -3/2*k**2 - k**3 + 2*k + 1/2*k**4 + 2 = 0. What is k?
-1, 2
Let p(m) = -4*m**3 + 5*m**2 + 4*m + 5. Let y(r) = 4*r**3 - 4*r**2 - 4*r - 4. Let x(s) = -4*p(s) - 5*y(s). Let x(h) = 0. What is h?
-1, 0, 1
Let p(m) = m**3 + 2*m**2 - 2*m + 1. Let d be p(1). Factor -4*g**d + 2*g + g**5 + 3*g**5 + 2*g**4 - 3*g**3 - g**3 - 2*g**5 + 2.
2*(g - 1)**2*(g + 1)**3
Let d = 533301/7 - 75965. Let t = d + -220. Factor -10/7*c**3 - 4/7*c**4 - t*c**2 + 2/7*c + 2/7.
-2*(c + 1)**3*(2*c - 1)/7
Suppose 0*u + 5*n - 7 = -4*u, 5*u - n = 16. Factor 0 + 0 - 1 + 6*c - 2 - u*c**2.
-3*(c - 1)**2
Let c be (-329)/(-240) - (-64)/(-48). Let g(k) be the second derivative of -2*k + 0 + c*k**5 + 0*k**2 + 1/6*k**3 - 1/6*k**4. Let g(h) = 0. What is h?
0, 2/3, 2
Find z such that -14*z**2 - 8*z - 8/7 = 0.
-2/7
Suppose 0 = 3*k - 6*k. Suppose k + 20 = 5*p, 3*h = -3*p + 24. Factor -2*s**3 - 4*s**h + 5*s**4 + s - 2*s - s**3 + 3*s**2.
s*(s - 1)**3
Let n(v) be the second derivative of -v**5/5 - 2*v**4/3 - 2*v**3/3 + 15*v. Find s, given that n(s) = 0.
-1, 0
Suppose -9*o - 5*o = -3*o. Factor o + 2/13*w - 2/13*w**3 + 0*w**2.
-2*w*(w - 1)*(w + 1)/13
Let p be 4/3*225/100. Factor -6/7*k**p - 2/7*k - 2/7*k**4 - 6/7*k**2 + 0.
-2*k*(k + 1)**3/7
Factor 12/7*b + 9/7*b**2 + 3/7.
3*(b + 1)*(3*b + 1)/7
Suppose -6*s = -2*r - 3*s + 9, 0 = 5*r + 2*s - 13. What is b in b + 63*b**4 - 3*b - 52*b**3 + 36*b**5 - r*b**2 + 78*b**3 = 0?
-1, -2/3, -1/3, 0, 1/4
Let g(k) be the second derivative of 0 - 3*k + 5/6*k**4 + 0*k**2 + 1/3*k**3 + 2/5*k**5. Solve g(x) = 0 for x.
-1, -1/4, 0
Let v(u) = -4*u**2 + 13*u - 9. Let l(y) = -y**2 + 4*y - 3. Suppose 3*p - 16 = -i - i, -4*p = -2*i + 2. Let o(b) = p*v(b) - 7*l(b). Find c such that o(c) = 0.
-3, 1
Let p(y) be the first derivative of -2*y**6/5 + y**5/10 + y**4/6 + 4*y - 2. Let a(u) be the first derivative of p(u). Find z such that a(z) = 0.
-1/3, 0, 1/2
Let y(q) be the third derivative of -q**5/420 + q**4/42 + 2*q**3/7 + 58*q**2 + 2. Factor y(d).
-(d - 6)*(d + 2)/7
Let b be -6*-2*(-2)/(-8). Factor -f**3 + 0*f**b - f**3 + f**4 + f**4.
2*f**3*(f - 1)
Let a = 193 - 133. Let n = a - 299/5. Factor 0*h + 1/5*h**2 + 0 - n*h**3.
-h**2*(h - 1)/5
Suppose r = f, 0 = 2*f - 4*r + 12 - 4. Suppose -3*n = -f*u + 4 + 16, 0 = -3*n + 5*u - 25. Factor 4/3*x**2 + 14/3*x**3 + 0*x + 16/3*x**4 + n + 2*x**5.
2*x**2*(x + 1)**2*(3*x + 2)/3
Factor -1/4*k + 1/4*k**3 + 1/4*k**4 + 0 - 1/4*k**2.
k*(k - 1)*(k + 1)**2/4
Let v be 4/(-2) + 0 + 3. Let a be -1*8/(-3 + v). Factor 10/3*o**2 + 5/3*o + 1/3*o**5 + 10/3*o**3 + 1/3 + 5/3*o**a.
(o + 1)**5/3
Let o(p) be the first derivative of -p**2 + 7/5*p**5 + 0*p - 7/3*p**3 - 3 + 1/2*p**4. Find i, given that o(i) = 0.
-1, -2/7, 0, 1
Let o(n) be the first derivative of n**6/150 - n**5/50 - n**4/60 + n**3/15 + 3*n + 3. Let p(c) be the first derivative of o(c). Factor p(d).
d*(d - 2)*(d - 1)*(d + 1)/5
Let n(t) = t**2. Let b = -2 + 4. Let o(a) = -5*a**b - 3*a - 2 - 2*a**2 + 6*a. Let r(v) = 6*n(v) + o(v). Factor r(s).
-(s - 2)*(s - 1)
Let x(n) = 24*n**4 + 36*n**3 + 9*n**2 + 6*n - 6. Let b(i) = -i**4 - i**3 - i. Let a(k) = 15*b(k) + x(k). What is u in a(u) = 0?
-1, 2/3
Let z(c) be the third derivative of -c**5/270 + c**4/54 + 4*c**2. Factor z(y).
-2*y*(y - 2)/9
Let c(n) = -n**2 + 6*n - 1. Let z be c(6). Let j = 14 + z. Determine d so that 8*d**3 + j*d**2 - 5*d + 2*d**4 + 9*d - 3*d**2 = 0.
-2, -1, 0
Let c(g) be the third derivative of 0 + 2/21*g**3 + 0*g + 1/210*g**5 - 1/28*g**4 - 10*g**2. What is n in c(n) = 0?
1, 2
Let s(z) = 20*z**5 + 8*z**4 - 4*z**3 - 24*z**2 + 16. Let i(t) = -t**5 + t**2 - 1. Let d(a) = -16*i(a) - s(a). Solve d(r) = 0 for r.
-2, -1, 0, 1
Let s(j) be the first derivative of j**7/420 + j**6/60 + j**5/20 + j**4/12 - j**3 - 4. Let o(c) be the third derivative of s(c). Factor o(t).
2*(t + 1)**3
What is y in 0 + 20/3*y**3 + 0*y + 4/3*y**2 + 3*y**4 = 0?
-2, -2/9, 0
Let a(k) = -6*k**3 - 4*k**2 - 2*k + 2. Let s = 4 - 6. Let j(q) = -q**4 + 6*q**3 + 3*q**2 + 2*q - 3. Let i(z) = s*j(z) - 3*a(z). Find x, given that i(x) = 0.
-1, 0
Let v(p) be the second derivative of -1/48*p**4 - 2*p - 1/8*p**2 + 0 + 1/12*p**3. Factor v(s).
-(s - 1)**2/4
Let a be (-2 - 8) + -1 + 2. Let s be (-12)/a + -2 + 1. Factor 0 - 1/3*h**2 - s*h.
-h*(h + 1)/3
Let m(c) = 1. Let p(o) = -o**2 - 4*o - 1. Let l(d) = 2*m(d) - p(d). Factor l(w).
(w + 1)*(w + 3)
Let n be -2 - (-12)/8 - (-6)/12. Suppose 6/7*h - 3/7*h**4 - 9/7*h**3 + 3/7*h**2 + n + 3/7*h**5 = 0. Calculate h.
-1, 0, 1, 2
Let p(l) be the first derivative of l**4/10 - 2*l**3/5 + 2*l**2/5 + 1. Factor p(h).
2*h*(h - 2)*(h - 1)/5
Factor 0*r - 6/7*r**2 + 0 - 16/7*r**3.
-2*r**2*(8*r + 3)/7
Let a(o) = 4*o - 110. Let i be a(28). Determine w, given that -1/3*w**i + 0 - 1/3*w**3 + 1/3*w**4 + 1/3*w = 0.
-1, 0, 1
Let r(g) be the first derivative of -2 + 1/3*g**3 - 2*g + 1/2*g**2. What is z in r(z) = 0?
-2, 1
Determine f, given that 0*f**2 - 2*f**2 + 8 + 2*f**3 - 110*f + 102*f = 0.
-2, 1, 2
Suppose 3*m + 5*d + 19 = 0, -2*m + 5*d + 24 + 5 = 0. What is o in -1/4*o**m + 1/4 + 0*o = 0?
-1, 1
Let z(n) be the second derivative o