 - p - 1. Let x(j) = g*h(j) + f(j). Factor x(b).
3*b*(b - 1)
Suppose 3*y = -4*k + 2, -4*y - 6 = -4*k - 5*y. Factor 1 - 3 - 4*s**2 + 0*s**2 + 6*s**k.
2*(s - 1)*(s + 1)
Suppose -5*o = 2*m - 30, m - 6*o + 2*o + 11 = 0. What is s in -s + 8*s - 54*s**4 - 2*s + 7*s - 15*s**m - 51*s**3 = 0?
-2, -1, 0, 2/5
Suppose -x = 2*x + 33. Let t = 23/2 + x. Factor t + 0*o**2 + o**3 - 1/2*o**4 - o.
-(o - 1)**3*(o + 1)/2
Suppose 0 = 43*a - 51*a + 24. Determine p so that 2/7*p**a - 2/7*p**5 + 0*p + 0 - 2/7*p**4 + 2/7*p**2 = 0.
-1, 0, 1
Let j(v) be the second derivative of -v**4/72 + v**2/12 - 14*v. Let j(a) = 0. What is a?
-1, 1
Let q(d) be the third derivative of d**7/42 - d**6/8 + d**5/4 - 5*d**4/24 + 7*d**2. Determine p so that q(p) = 0.
0, 1
Let n(d) = -d - 7. Let u be n(-9). Let w be 4/26 - (250/(-65) + 0). Find i such that -2/9*i**w - 10/9*i**u + 0 + 4/9*i + 8/9*i**3 = 0.
0, 1, 2
Factor -q**5 + 5*q**4 - 2*q**3 - q**4 + q**3 - 2*q**4.
-q**3*(q - 1)**2
Let c be 28/(-24)*(-1)/7. Let l(r) be the second derivative of 1/8*r**4 - 7/60*r**6 + 0*r**2 + r - 1/28*r**7 + 0 - 3/40*r**5 + c*r**3. Factor l(p).
-p*(p + 1)**3*(3*p - 2)/2
Let m(h) be the third derivative of h**9/37800 + h**8/16800 - h**7/6300 - h**6/1800 + h**4/24 + h**2. Let b(l) be the second derivative of m(l). Factor b(j).
2*j*(j - 1)*(j + 1)**2/5
Let p = -22 - -26. Let s be p + 2 + (-30)/9. Let s + 6*b**3 - 2*b**2 - 16/3*b = 0. Calculate b.
-1, 2/3
Find s, given that 0 - 15/7*s**4 + 6/7*s + 15/7*s**2 + 3/7*s**3 - 9/7*s**5 = 0.
-1, -2/3, 0, 1
Let l(u) be the first derivative of -u**6/720 + u**5/240 + 2*u**3 + 6. Let t(p) be the third derivative of l(p). Find m, given that t(m) = 0.
0, 1
Let c be (5/(-2) - 2)*12. Let f be c/(-15) - 4/(-10). Suppose -l**2 + 2*l**2 + 0*l**4 - l**4 + 0*l**f = 0. What is l?
-1, 0, 1
Let b(u) be the first derivative of u**5/30 - 2*u**2 + 1. Let k(x) be the second derivative of b(x). Factor k(z).
2*z**2
Let z(i) be the first derivative of 5/11*i**2 - 4/33*i**3 - 4/11*i + 2. Factor z(t).
-2*(t - 2)*(2*t - 1)/11
Let r(f) be the second derivative of -f**7/14 - 2*f**6/5 - 9*f**5/10 - f**4 - f**3/2 - 2*f - 44. Solve r(p) = 0.
-1, 0
Let o(z) be the third derivative of z**7/420 + z**6/180 + z**3/3 - 5*z**2. Let p(c) be the first derivative of o(c). Find b such that p(b) = 0.
-1, 0
Let s be (-2)/(-44)*(2 + 0). Let z(l) be the first derivative of 2/33*l**3 + s*l**2 + 6/55*l**5 - 5/22*l**4 - 2 + 0*l. Suppose z(b) = 0. Calculate b.
-1/3, 0, 1
Let a(f) be the second derivative of f**7/42 + f**6/30 - f**5/20 - f**4/12 + 3*f. Factor a(n).
n**2*(n - 1)*(n + 1)**2
Factor -16/5*r + 2/5 + 32/5*r**2.
2*(4*r - 1)**2/5
Let q(z) be the first derivative of z**7/420 + z**6/120 + z**5/120 - z**2/2 + 3. Let s(i) be the second derivative of q(i). What is c in s(c) = 0?
-1, 0
Determine w so that -5/6*w**5 - 3200/3*w + 50/3*w**4 + 1600/3*w**2 + 2560/3 - 400/3*w**3 = 0.
4
Let o(y) be the first derivative of y**6/2 + 2*y**5/5 - 7*y**4/4 + 2*y**3/3 + 1. Factor o(h).
h**2*(h - 1)*(h + 2)*(3*h - 1)
Factor -8/7 + 2*i**3 - 10/7*i**2 - 32/7*i.
2*(i - 2)*(i + 1)*(7*i + 2)/7
Let x(p) be the second derivative of p**8/10080 - p**7/1260 + p**6/540 + p**4/2 - 6*p. Let j(z) be the third derivative of x(z). Factor j(i).
2*i*(i - 2)*(i - 1)/3
Let i(d) be the second derivative of 1/2*d**3 - 4*d + 9/40*d**5 - 1/4*d**4 + 0*d**2 - 7/120*d**6 + 0. Let v(u) be the second derivative of i(u). Factor v(j).
-3*(j - 1)*(7*j - 2)
Let r(y) be the third derivative of -y**10/831600 + y**9/110880 - y**7/6930 - y**5/30 + 4*y**2. Let n(z) be the third derivative of r(z). Factor n(j).
-2*j*(j - 2)**2*(j + 1)/11
Let r(d) = -5*d**4 - 9*d**3 - 9*d**2 + d + 3. Let p(k) = 10*k**4 + 17*k**3 + 18*k**2 - 3*k - 7. Let o(q) = 6*p(q) + 14*r(q). Find y such that o(y) = 0.
-1, -2/5, 0
Let q = 4 - -9. Let p = q - 9. Factor 0 + 2/3*m - 2/3*m**p + 2/3*m**2 - 2/3*m**3.
-2*m*(m - 1)*(m + 1)**2/3
Let v(w) be the third derivative of 4*w**2 + 0*w + 1/300*w**6 + 0*w**3 + 1/60*w**4 + 1/75*w**5 + 0. Factor v(b).
2*b*(b + 1)**2/5
Factor 1/8*k**2 - 1/2*k**4 - k**5 + 1/8 + 5/4*k**3 - 1/2*k.
-(k + 1)**2*(2*k - 1)**3/8
Factor -3 + 3/2*i**2 - 3/2*i.
3*(i - 2)*(i + 1)/2
Let t(g) be the first derivative of -2*g**3/21 + 2*g/7 - 14. Suppose t(y) = 0. Calculate y.
-1, 1
Let u be (4 - 1) + -4 + 46. Let l = 48 - u. Suppose 14/5*c**l + 4/5 - 4/5*c**2 - 14/5*c = 0. Calculate c.
-1, 2/7, 1
Factor -16*y - 3*y**4 - 24*y**2 - 4 - y**4 + 0*y**4 + 6*y**3 - 22*y**3.
-4*(y + 1)**4
Let m(b) = 54*b**3 - 72*b**2 + 37*b - 4. Let f(j) = j**3 + 0*j**3 + j**2 - 16 + 16 + j. Suppose 0 = 4*r - 9 + 29. Let p(q) = r*f(q) + m(q). Factor p(u).
(u - 1)*(7*u - 2)**2
Let r be (1182/(-12))/((-18)/(-8)). Let f = 44 + r. Factor -2/3*k**2 + 2/9*k**4 - f*k**3 + 2/9*k + 4/9.
2*(k - 2)*(k - 1)*(k + 1)**2/9
Let z be (-6 + 3)/(-3) + (-1)/1. Suppose -2*l = -3*l + 2. Factor 0*r + 4/5*r**l - 2/5*r**3 + z.
-2*r**2*(r - 2)/5
Factor 1/4 - 1/2*c + 1/4*c**2.
(c - 1)**2/4
Factor -1 + 170*s**2 - 5 - 169*s**2 - s.
(s - 3)*(s + 2)
Suppose -2*z = k + 4*k + 92, 3*k + 5*z = -40. Let h be (-14)/k - 7/14. Let 0*j**2 + 0 + 3/5*j**4 + 0*j + h*j**3 - 4/5*j**5 = 0. What is j?
-1/4, 0, 1
Let c(p) be the third derivative of -p**5/5 + 3*p**4/8 + p**3/2 - 2*p**2. Factor c(l).
-3*(l - 1)*(4*l + 1)
Let l(x) be the third derivative of x**7/5460 - x**5/260 - x**4/78 - x**3/2 - x**2. Let d(t) be the first derivative of l(t). Find h, given that d(h) = 0.
-1, 2
Let f be (-48)/(-27) - 6/(-27). Factor x**2 - x**3 + f*x**3 + 0*x**2.
x**2*(x + 1)
Suppose 3*i + 4 = 8*i - 4*h, -2*i - 5*h - 5 = 0. Determine o so that 2/7*o - 4/7*o**2 + i + 2/7*o**3 = 0.
0, 1
Let r(l) be the first derivative of 7*l**6/6 + l**5 - 37*l**4/4 + 31*l**3/3 - 3*l**2 - 16. Factor r(y).
y*(y - 1)**2*(y + 3)*(7*y - 2)
Find i such that 2/5*i + 0 - 2/5*i**3 + 0*i**2 = 0.
-1, 0, 1
Let q = 21 + -83/4. Let r(m) be the first derivative of -2 + 1/4*m + 1/2*m**3 + 1/2*m**2 + q*m**4 + 1/20*m**5. Factor r(y).
(y + 1)**4/4
Let t(n) be the first derivative of n**5/20 - 3*n**4/8 + 2*n**3/3 + 3*n**2/4 - 9*n/4 - 5. Suppose t(m) = 0. What is m?
-1, 1, 3
Let s(c) = c**3 - 13*c**2 - c + 14. Let h be s(13). Let o be ((-6)/4)/((-4)/8). Factor -2*z**2 + z - z**3 - h + 0 + o*z**2.
-(z - 1)**2*(z + 1)
Let b(s) = 1 - s**2 - 5 + 10*s - 5*s**2. Let h(t) = -4*t**2 + 7*t - 3. Suppose 4*k - w + 12 = 3*w, -5*k - 55 = 3*w. Let c(d) = k*h(d) + 5*b(d). Factor c(a).
2*(a - 2)*(a - 1)
Suppose 0*l + 4*l = -4*c - 8, -2*c = -2*l - 12. Solve 3*i**2 + 3*i**4 + i**2 - 4*i**3 - c*i**4 = 0 for i.
0, 2
Suppose -q**5 - 5*q**5 + q**5 + 0*q - 5*q + 10*q**3 = 0. What is q?
-1, 0, 1
Let o = -5 + 41/8. Let c(q) be the first derivative of 0*q - 1/3*q**3 + o*q**4 + 1/4*q**2 - 2. Suppose c(x) = 0. What is x?
0, 1
Suppose -91 = 6*t - 91. Determine b, given that 0*b + t - 1/6*b**3 + 0*b**2 = 0.
0
Let d be 64 - 64 - (-2)/3. Factor d*o**2 - 8/3*o + 2.
2*(o - 3)*(o - 1)/3
Let w be 197*1/(7798/(-34)). Let g = -1/557 - w. Find p, given that -2/7*p**2 + g*p - 4/7 = 0.
1, 2
Let u(g) be the third derivative of 1/2*g**3 + 0*g - 1/70*g**7 + 1/4*g**4 + 0 + g**2 - 1/20*g**6 + 0*g**5. Factor u(t).
-3*(t - 1)*(t + 1)**3
Let v be 3*(-6)/9 - -4. Let y = v + 0. Find u such that -u**y + 9*u**2 - 6*u**3 - 3 - 1 + 2*u = 0.
-2/3, 1
Let j(p) = -9*p**2 - 37*p - 2. Let h(k) = 155*k**2 + 630*k + 35. Let r(v) = -2*h(v) - 35*j(v). Find i, given that r(i) = 0.
-7, 0
Let o(b) be the first derivative of 2/3*b**2 + 1/2*b**4 + 2/15*b**5 + 2 - 1/9*b**6 - 10/9*b**3 + 0*b. Find n such that o(n) = 0.
-2, 0, 1
Let k(a) be the second derivative of -a**5/110 + a**4/22 - 4*a**2/11 + a. Factor k(c).
-2*(c - 2)**2*(c + 1)/11
Let q = -638/15 + 226/5. Let q*g + 8/3 + 2/3*g**2 = 0. What is g?
-2
Let x(n) be the third derivative of 1/210*n**7 + 0*n**5 + 0 - 1/6*n**3 - 8*n**2 + 0*n + 1/12*n**4 - 1/60*n**6. Factor x(u).
(u - 1)**3*(u + 1)
Let y(f) be the first derivative of -f**3/15 - f**2/5 - 6. Factor y(u).
-u*(u + 2)/5
Determine k, given that 0*k + 0 - 1/2*k**4 + k**3 - 1/2*k**2 = 0.
0, 1
Let c be (-1)/(-2)*-1*-6. Suppose y - k = 3*k + 26, -3*y + c = 3*k. What is o in -4 + 0*o + 13*o**3 + o**3 + 24*o**2 + y*o = 0?
-1, 2/7
Let w(l) be the second derivative of -1/24*l**4 - 1/40*l**5 - 7*l + 0*l**2 + 0 + 1/6*l**3. Factor w(a).
-a*(a - 1)*(a + 2)/2
Let f(g) be the third deriva