 -10 + 6*c**4 - c**2 + a - 9*c**3 + 9*c - 2*c**2.
3*(c - 1)**2*(c + 1)*(2*c - 1)
Suppose 0 = 5*n, 2*n + 2 + 10 = 3*c. Factor 2*l**2 - 4*l**2 - 2*l**2 - 8*l + c*l**3.
4*l*(l - 2)*(l + 1)
Let f(m) be the third derivative of m**8/252 - 2*m**7/105 + m**6/45 + 2*m**5/45 - m**4/6 + 2*m**3/9 + 15*m**2. Factor f(d).
4*(d - 1)**4*(d + 1)/3
Suppose -3*c - c + 72 = 4*h, 2*c - 36 = -5*h. Let k be 114/27 - 4/c. Factor -1/3*l**2 + 2/3*l**k + 1/3*l**3 + 0*l + 0.
l**2*(l + 1)*(2*l - 1)/3
Let r(m) be the second derivative of m**7/56 - m**6/24 + m**5/80 + m**4/48 - 3*m. Suppose r(h) = 0. What is h?
-1/3, 0, 1
Solve -32/7 - 2/7*l**2 + 16/7*l = 0.
4
Let q(t) = -t - 5*t - t**2 - t - 3. Let j be q(-6). Factor 2/3*z**j + 0*z + 2/3*z**2 + 0.
2*z**2*(z + 1)/3
Let u(r) = r**4 - 6*r**3 + 4*r**2 + 2*r - 5. Let z(f) = f**4 - 7*f**3 + 5*f**2 + f - 6. Let m(l) = -3*u(l) + 2*z(l). Find j such that m(j) = 0.
-1, 1, 3
Let u(v) be the second derivative of -1/50*v**5 + 0 - 1/30*v**4 + 0*v**2 + v + 0*v**3. Suppose u(r) = 0. What is r?
-1, 0
Let p(i) = -11*i**2 + 18*i - 17. Let q(l) = -6*l**2 + 9*l - 9. Let x(y) = -3*p(y) + 5*q(y). Factor x(j).
3*(j - 2)*(j - 1)
Let a(d) be the first derivative of 1/3*d**3 - 1/5*d**5 - 1 - 1/6*d**6 + 0*d + 1/4*d**4 + 0*d**2. Suppose a(k) = 0. What is k?
-1, 0, 1
Let h(l) = 32*l - 10. Let z be h(6). Let g be 10/(-65) - (-80)/z. Determine k, given that -g*k**4 + 2/7*k + 6/7*k**3 + 0 - 6/7*k**2 = 0.
0, 1
Suppose -4 = -4*w + 2*w. Let a = w + 0. Solve -5 - 2*s**4 - 4*s**3 + 0*s**4 + 6 - 9 + 6*s**a + 8*s = 0 for s.
-2, 1
Let v(k) be the first derivative of -2*k**3/9 - 8*k**2/3 - 32*k/3 + 4. Factor v(j).
-2*(j + 4)**2/3
Suppose 0*a + a = -3. Let i = 3 + a. Factor 1/4*k**3 + 1/4*k**2 + 0 + i*k.
k**2*(k + 1)/4
Factor 4*j**2 + 5*j**4 + j**5 - 2*j**3 + 3*j**4 - 3*j**5 - 8*j**3.
-2*j**2*(j - 2)*(j - 1)**2
Let s(r) = 16*r - 14. Let o(j) = 3*j - 3. Let t(f) = -11*o(f) + 2*s(f). Let n be t(5). Factor -2/3*a**4 - 2/3*a**2 + 0*a - 4/3*a**3 + n.
-2*a**2*(a + 1)**2/3
Suppose 0 = -7*t + 9*t - 6. Factor -4*g**4 + 0*g**4 + g**4 + 5*g**3 + 3*g**t - 4*g**2.
-g**2*(g - 2)*(3*g - 2)
Solve 0 - 16/5*z + 4/5*z**3 - 32/5*z**2 + 8/5*z**4 = 0.
-2, -1/2, 0, 2
Let a(g) be the first derivative of -g**6/21 - 2*g**5/7 - 5*g**4/7 - 20*g**3/21 - 5*g**2/7 - 2*g/7 - 13. Factor a(y).
-2*(y + 1)**5/7
Let p(u) be the third derivative of -u**6/80 - u**5/20 + u**4/144 + u**3/18 - 2*u**2. Factor p(l).
-(l + 2)*(3*l - 1)*(3*l + 1)/6
Let t = -3 - -8. Factor -f**2 + 2*f**4 + 3*f**2 + 0*f**4 - t*f**3 + f**3.
2*f**2*(f - 1)**2
Let o be 4 - ((-15)/5 - -5). Factor 0 - 1/4*d**o - 1/4*d.
-d*(d + 1)/4
Let l(n) be the second derivative of n**6/900 - n**5/150 - n**3/6 - n. Let p(y) be the second derivative of l(y). What is k in p(k) = 0?
0, 2
Let d = -5 - -15. Suppose 4*y = -y + d. Factor -i + 0*i**2 + 0*i - 2*i**y + 3*i.
-2*i*(i - 1)
Let n(x) be the second derivative of x**5/10 + x**4/3 + x**3/3 - 11*x. Solve n(k) = 0 for k.
-1, 0
Solve -6/5*y + 8/5 - 2/5*y**2 = 0.
-4, 1
Factor -4*v + 8*v**2 + 8*v**4 + v**3 + 3*v**3 + 5*v**4 - 21*v**4.
-4*v*(v - 1)*(v + 1)*(2*v - 1)
Suppose 5*x = 815 - 115. Let k be 1/5 - (-392)/x. Suppose 2/7*b**2 + 0 - 2/7*b**k + 0*b = 0. What is b?
0, 1
Let l(y) be the first derivative of y**8/840 - y**6/180 + 5*y**3/3 + 7. Let x(j) be the third derivative of l(j). Factor x(r).
2*r**2*(r - 1)*(r + 1)
Let z(s) be the first derivative of -4*s**3/21 - 20*s**2/7 - 100*s/7 + 18. Let z(o) = 0. What is o?
-5
Suppose -2*j = m + 11 - 3, 21 = -2*m - 5*j. Find i such that -3/5 - 3/5*i**m + 6/5*i = 0.
1
Let b(u) = -9*u**2 - 5*u + 11. Let c(l) = -5*l**2 - 3*l + 6. Let k(m) = 4*b(m) - 7*c(m). Factor k(i).
-(i - 2)*(i + 1)
Suppose 3*d = -4*w - 10 - 2, 0 = 4*w - 2*d - 8. Let r be w - (0 - (-1 - -3)). Suppose 4*u + u + r*u**2 - 4*u = 0. What is u?
-1/2, 0
Factor -1/2 - 1/4*w + 1/4*w**3 + 1/2*w**2.
(w - 1)*(w + 1)*(w + 2)/4
Let o(s) be the third derivative of s**5/15 - s**4 + 6*s**3 - 6*s**2. Factor o(j).
4*(j - 3)**2
Let o(h) = h**2 - 1. Let g(p) = -5*p**3 + 27*p**2 - 20*p - 2. Let t(x) = -g(x) + 2*o(x). Factor t(a).
5*a*(a - 4)*(a - 1)
Let f(k) = -7*k - 3. Let v be f(-1). Let o(t) be the first derivative of 0*t**2 - 1/12*t**3 + 0*t - 1 - 1/16*t**v. Factor o(i).
-i**2*(i + 1)/4
Let o be 6*4/((-12)/(-1)). Determine p, given that -1/5*p**3 + 0 - 3/5*p**o - 2/5*p = 0.
-2, -1, 0
Let g(k) be the third derivative of k**6/30 + 2*k**5/15 - 7*k**4/6 + 8*k**3/3 + 39*k**2. Factor g(z).
4*(z - 1)**2*(z + 4)
Let z(m) be the second derivative of m**6/1440 - m**5/480 - m**3/6 + 5*m. Let c(d) be the second derivative of z(d). What is v in c(v) = 0?
0, 1
Let u(m) be the third derivative of -m**8/84 + 8*m**7/105 - 2*m**6/15 - 2*m**5/15 + 5*m**4/6 - 4*m**3/3 + 14*m**2. Suppose u(y) = 0. What is y?
-1, 1, 2
Let y(v) be the second derivative of -v**7/21 + 13*v**6/15 - 7*v**5/2 - 49*v**4/6 - 26*v. Factor y(i).
-2*i**2*(i - 7)**2*(i + 1)
Suppose 0 = 5*t - t - 5*w + 7, 4*w - 22 = -5*t. Factor c**3 - 5*c**3 + c**3 + 2*c**2 + c**t.
-3*c**2*(c - 1)
Let l = -16 - -31. Let -l*z**2 + 14*z**2 - 4 + 20*z**2 - 15*z**3 = 0. Calculate z.
-2/5, 2/3, 1
Let f(b) be the second derivative of -b**7/1260 - b**6/360 - b**5/240 + b**4/12 - b. Let x(y) be the third derivative of f(y). Determine n, given that x(n) = 0.
-1/2
Let v(i) be the first derivative of 5 + 0*i**2 + 0*i - 1/12*i**3. Factor v(m).
-m**2/4
Let l(w) be the second derivative of w**4/72 - w**3/18 + w**2/12 - 6*w. Suppose l(b) = 0. Calculate b.
1
Let k be 0 - 17/(-3) - (-14)/(-21). Solve -59/4*z**3 + 27/4*z**4 + 0*z**2 + z + 0 + 7*z**k = 0.
-2, -1/4, 0, 2/7, 1
Let a(l) = -l - 1. Let g be a(-3). Determine x so that 2*x**2 + 2*x - x**2 + x**g = 0.
-1, 0
What is j in 12*j - 5*j**2 - 12*j + 2*j - 7*j**3 = 0?
-1, 0, 2/7
Let l(q) = q**3 - 2*q + 8. Let x be l(0). Solve -13*j**2 - 7*j**3 - x + 8*j**2 - 20*j + 3*j**3 - 11*j**2 = 0 for j.
-2, -1
Let g(s) be the first derivative of -2/9*s**3 - 3 + 2/3*s**2 + 0*s. Determine n, given that g(n) = 0.
0, 2
Suppose 4*w - 4*a + 5*a = 22, -w = a - 4. Let t = 11 - w. Determine d, given that 2*d - 2*d**5 + 4*d**3 + 7*d**2 + 3*d**5 + 5*d**3 + t*d**4 = 0.
-2, -1, 0
Let f(v) be the third derivative of -v**7/1260 + v**6/180 - v**5/60 + 5*v**4/24 - v**2. Let g(p) be the second derivative of f(p). Find w such that g(w) = 0.
1
Let m(i) be the first derivative of -4*i**3/15 - 12*i**2/5 - 13. Let m(p) = 0. What is p?
-6, 0
Let j(h) be the third derivative of -h**6/60 + 2*h**5/15 - h**4/4 + 7*h**2. Determine i, given that j(i) = 0.
0, 1, 3
Let n be (4 - 0) + -6 + 4. Let 0 - 1/4*m**3 + 0*m + 1/4*m**n = 0. Calculate m.
0, 1
Let b(a) be the third derivative of -1/210*a**5 + 0*a + 1/735*a**7 + 0 + 0*a**3 - a**2 - 1/84*a**4 + 1/420*a**6. Factor b(o).
2*o*(o - 1)*(o + 1)**2/7
Let u(w) be the third derivative of w**7/1260 - w**6/180 + w**5/60 - w**4/12 - 3*w**2. Let l(v) be the second derivative of u(v). Factor l(c).
2*(c - 1)**2
Suppose -8/7 - 8/7*x + 2/7*x**2 + 2/7*x**3 = 0. Calculate x.
-2, -1, 2
Let w(t) = t**2 - 6. Let y = 54 + -37. Let d(o) = -6*o**2 + 4*o**2 + y - o**2. Let m(g) = 6*d(g) + 17*w(g). Determine i, given that m(i) = 0.
0
Let y be (-466)/4 + -2 + 0. Let b = y - -121. Factor 7/2*p**3 + 0 + b*p**4 + p**2 + 0*p.
p**2*(p + 1)*(5*p + 2)/2
Let b(y) be the second derivative of y**7/2520 - 2*y**3/3 + 3*y. Let s(a) be the second derivative of b(a). Factor s(q).
q**3/3
Let i be 3/(-9) - 39/(-9). Suppose -3*j - 3*j + 6*j**3 - 4*j**3 + i = 0. Calculate j.
-2, 1
Let l(j) = 8*j**2 - 17*j + 20. Let y(g) = 3*g**2 - 6*g + 7. Let c(u) = -4*l(u) + 11*y(u). Factor c(s).
(s - 1)*(s + 3)
Let f be 3*2*(-1)/(-2). Suppose 3*s = -k - 13, -2*k + 4*s = k - 26. Factor f*u - u**2 + 0*u**2 - 2*u**k.
-3*u*(u - 1)
Let s = 2 + -4. Let l be s + 0 + 3 + -1. Factor 0 + 0*a**2 + l*a - 2/7*a**3 + 2/7*a**4.
2*a**3*(a - 1)/7
Let r(c) be the third derivative of 0*c**3 - 1/945*c**7 + 0*c - 4*c**2 - 1/540*c**6 + 1/270*c**5 + 0 + 1/108*c**4. Factor r(w).
-2*w*(w - 1)*(w + 1)**2/9
Let -34*f - f - 5*f + f**5 + 35*f**4 - 6*f**5 + 100*f**2 - 90*f**3 = 0. What is f?
0, 1, 2
Let 2/9*k**2 + 50/9 - 20/9*k = 0. What is k?
5
Let o(g) = -g**3 - 9*g - 10. Let c(i) = -6*i**3 - 63*i - 69. Let z(x) = 4*c(x) - 27*o(x). Let z(v) = 0. What is v?
-1, 2
Let 0*a**4 + 0 - a**3 + 1/2*a**5 + 1/2*a + 0*a**2 = 0. 