2 - 1. Let n be c(-1). Let b be (8/(-14))/(54/n). Factor -b*a**2 + 0*a + 0.
-2*a**2/9
Let h(g) be the third derivative of -g**6/280 + g**5/28 - g**4/7 + 2*g**3/7 + 20*g**2. Solve h(v) = 0 for v.
1, 2
Suppose 2*f - 6 = -2. Factor 2*j + 2*j**4 + 0*j - j + 6*j**f - 6*j**3 - 3*j.
2*j*(j - 1)**3
Let z = -315 - -2839/9. Factor 2/3*j - 2/9*j**2 - z.
-2*(j - 2)*(j - 1)/9
Let y be 7 + (-30 + 2)/7. Let -1/5*h**y + 1/5*h**2 + 0 + 0*h = 0. What is h?
0, 1
Let -4 - q + 1/2*q**2 = 0. Calculate q.
-2, 4
Determine u so that -4/11*u - 2/11*u**4 - 8/11*u**3 + 0 - 10/11*u**2 = 0.
-2, -1, 0
Let n(m) be the first derivative of -1/30*m**5 + 1/6*m**3 + 0*m + 1/6*m**2 + 7 + 0*m**4. Factor n(t).
-t*(t - 2)*(t + 1)**2/6
Let y(n) be the third derivative of 0 + 1/40*n**6 + 1/70*n**7 - 1/10*n**5 + 0*n**4 - 3*n**2 + 0*n + 0*n**3. Factor y(u).
3*u**2*(u - 1)*(u + 2)
Let u be 2/(-66)*(-15)/10. Let i(v) be the first derivative of 0*v**2 + 0*v - 2/33*v**3 + 2 + u*v**4. Factor i(f).
2*f**2*(f - 1)/11
Let j(c) be the third derivative of c**7/2520 - c**6/720 - 5*c**4/24 - 2*c**2. Let a(u) be the second derivative of j(u). Find h such that a(h) = 0.
0, 1
Let k(b) be the third derivative of 0*b + 9/100*b**5 + 0 + 0*b**3 + 3*b**2 + 1/20*b**4 + 3/50*b**6 + 1/70*b**7. Factor k(j).
3*j*(j + 1)**2*(5*j + 2)/5
Suppose 44 + 31 = 5*b. Factor 7*m**2 + b*m + m - 9 + 13.
(m + 2)*(7*m + 2)
Suppose 0 = 5*g - 6*g + 2. Suppose g*p = p. Solve 0 + p*u + 6/11*u**3 + 6/11*u**4 + 2/11*u**2 + 2/11*u**5 = 0 for u.
-1, 0
Let q(s) be the first derivative of -s**5/60 - s**4/12 - s**3/9 - s + 2. Let p(l) be the first derivative of q(l). Factor p(x).
-x*(x + 1)*(x + 2)/3
Factor 5*p - 5*p**3 + 0*p - 10*p**2 + 54 - 44.
-5*(p - 1)*(p + 1)*(p + 2)
Let l = -43 - -93/2. Suppose 1 - 2*m**2 - l*m = 0. Calculate m.
-2, 1/4
Let a = 7 - 1. Suppose n - a*n = -15. Factor 5*p**2 - 1 + 3 - 2*p - 2 - 3*p**n.
-p*(p - 1)*(3*p - 2)
Let n = -142 - -147. What is l in -2*l + 0*l**2 + 9*l**4 + 5/2*l**n + 17/2*l**3 + 0 = 0?
-2, -1, 0, 2/5
Let c(i) be the first derivative of 8/15*i**3 - 1/15*i**6 - 3/5*i**4 + 0*i - 1/5*i**2 + 2 + 8/25*i**5. Suppose c(u) = 0. What is u?
0, 1
Let x(o) be the first derivative of -o**7/840 - o**6/180 - o**5/120 - 2*o**3 - 4. Let j(l) be the third derivative of x(l). Let j(q) = 0. What is q?
-1, 0
Suppose -i**2 + 0 + 1/4*i**3 + i = 0. What is i?
0, 2
Let m(j) be the third derivative of -j**9/22680 + j**8/1680 - j**7/315 + j**6/135 - j**4/6 + 3*j**2. Let y(t) be the second derivative of m(t). Factor y(n).
-2*n*(n - 2)**3/3
Let t(d) = -d - 2. Let n be t(-4). Factor -4*f**n + 3*f**3 + 6 - 3*f**3 - 4 + 2*f**4.
2*(f - 1)**2*(f + 1)**2
Let w be 0 + (-8 - (8 - 16)). Suppose w - 1/2*j**2 - 2*j = 0. Calculate j.
-4, 0
Let x(i) be the first derivative of i**2/2 + 2*i + 3. Let v be x(0). Factor -3*p**2 + 1 + v + 0*p**2.
-3*(p - 1)*(p + 1)
Let y(j) = 16*j**3 - 11*j**2 + 6*j. Let c(w) = -3*w**3 + 2*w**2 - w. Let r(d) = -33*c(d) - 6*y(d). Let r(n) = 0. Calculate n.
-1, 0, 1
Let u be -1*1*(-15)/5. Suppose 3*i - 14 = -3*z + 4, 0 = u*z - 4*i + 10. Factor z*m**2 + 11*m**2 + 3*m**5 - 3*m**3 - 10*m**2 - 3*m**4.
3*m**2*(m - 1)**2*(m + 1)
Let l be 5/18 - 14/63. Let j(m) be the third derivative of 0*m + 2*m**2 - 1/180*m**5 + 0 - 2/9*m**3 - l*m**4. Suppose j(r) = 0. What is r?
-2
Let s(d) = -d**4 + d**3. Let f(l) = -8*l**4 - 4*l**2. Let r(k) = f(k) - 6*s(k). Let r(u) = 0. Calculate u.
-2, -1, 0
Suppose 3*o - 3*h + 5 = -4, -2*o = -h + 2. Factor -f**2 - o - 3*f - 2 + 1.
-(f + 1)*(f + 2)
Let q be 64/132 + 16/88. Let b(h) = h - 2. Let x be b(4). Factor -2/3*i + 4/3 - q*i**x.
-2*(i - 1)*(i + 2)/3
Let q be 1/(14/(-24))*(-70)/20. Factor -q - 4*v - 2/3*v**2.
-2*(v + 3)**2/3
Let q(z) be the second derivative of -z**6/20 + z**4/8 + 6*z. Factor q(x).
-3*x**2*(x - 1)*(x + 1)/2
Let a(z) be the second derivative of z**4/18 + z**3/3 + 2*z**2/3 - 14*z. Let a(w) = 0. What is w?
-2, -1
What is k in -2*k**2 + 8 + 2*k + 0*k**2 + 0 - 4 = 0?
-1, 2
Let k(f) = 5*f**2 + 16*f + 16. Let d(i) = -15*i**2 - 49*i - 49. Let y(g) = 4*d(g) + 11*k(g). Let y(z) = 0. Calculate z.
-2
Let k(f) = -f + 2 - 5*f + 4*f. Let u be k(-4). Factor -2*g**2 + 2 - 4*g + 12*g - u.
-2*(g - 2)**2
Let b(h) be the third derivative of -h**7/1155 - h**6/330 + h**4/66 + h**3/33 - 2*h**2. Factor b(q).
-2*(q - 1)*(q + 1)**3/11
Find p, given that -57*p**3 - 3*p**4 + 15 + 40*p + 17*p - 27*p**2 + 15*p**4 = 0.
-1, -1/4, 1, 5
Let z(b) be the first derivative of 1 - 1/12*b**4 + 0*b - 1/360*b**6 - 1/3*b**3 + 0*b**2 + 1/40*b**5. Let r(v) be the third derivative of z(v). Factor r(j).
-(j - 2)*(j - 1)
Let y(x) be the third derivative of 0*x + 1/4*x**4 + 2*x**3 - 5*x**2 + 0 + 1/80*x**5. Factor y(f).
3*(f + 4)**2/4
Suppose 0 = -4*m - 5*l - 324, -5*m - 96 = -4*m + 5*l. Let o be (-2)/(-7) - m/28. Suppose 2*u**4 - u + 6*u**3 - 2*u**o - 3*u + 0 - 2 = 0. Calculate u.
-1, 1
Let r be 2 + -3 + 20/3 + -2. Factor 7/3*g**3 + 2/3 + 16/3*g**2 + r*g.
(g + 1)**2*(7*g + 2)/3
Let r(l) = l**4 - l**2. Let s(t) = -3*t**4 - t**3 + 4*t**2 + t - 1. Let n(o) = 18*r(o) - 2*s(o). Determine a, given that n(a) = 0.
-1, -1/3, 1/4, 1
Suppose g = 6*g - 15. Suppose n**2 - n**g + 2*n**5 - 4*n**5 + 3*n**5 - 2*n**4 + n**4 = 0. What is n?
-1, 0, 1
Solve -8/5*n + n**2 - 4/5 = 0.
-2/5, 2
Find j, given that -5*j**3 + 32*j**2 + 0*j**2 + 72 - 84*j + j**3 = 0.
2, 3
Factor 2/5*q**2 + 6/5*q + 0.
2*q*(q + 3)/5
Let g(u) be the first derivative of u**6/240 + u**5/40 - u**3/3 + 2*u**2 - 1. Let h(v) be the second derivative of g(v). Find i such that h(i) = 0.
-2, 1
Let r(s) = -s**2 + 7*s - 2. Let q be r(6). Determine v so that -v**q + 3*v**2 - 2*v**3 + v + 0 + v**3 + 0 - 2 = 0.
-2, -1, 1
Suppose -8*k**4 + 2*k**5 + 8*k**3 - 4*k + 4*k = 0. Calculate k.
0, 2
Let h be 5/(-10)*(-8 + 0). Suppose 2*y - 10 = 0, -y + h*y = -3*f + 33. Determine x so that -f*x**2 - 4*x - 5 + 5 - 2*x**3 = 0.
-2, -1, 0
Let h(g) be the first derivative of g**6/6 - 6*g**5/5 + 11*g**4/4 - 2*g**3 - 36. Find o, given that h(o) = 0.
0, 1, 2, 3
Suppose -13*c = -8*c + 70. Let d be c/(-10) - 0 - 1. Factor 4/5*o - 2/5 - d*o**2.
-2*(o - 1)**2/5
Let w(o) be the second derivative of -1/6*o**3 + 1/24*o**4 + 0*o**2 + 0 - 6*o. Suppose w(l) = 0. What is l?
0, 2
Factor 1/2*x**2 + 0*x - 1/2.
(x - 1)*(x + 1)/2
Let a be 10/9 - 1 - 0. Let n(k) be the second derivative of 4*k + 0 + 1/18*k**4 - a*k**3 + 0*k**2. Factor n(v).
2*v*(v - 1)/3
Suppose 3*p - 10 = -2*p. Suppose p*j - j = 3*x - 4, 0 = 3*x - 6. Factor 0*a**3 - a**5 + 4 - 2*a**3 - 3*a**4 - 3 + 3*a + 2*a**j.
-(a - 1)*(a + 1)**4
Let a(c) be the second derivative of -3*c**5/20 - 3*c**4/4 + c**3/2 + 9*c**2/2 + 13*c. Find t such that a(t) = 0.
-3, -1, 1
Determine j so that 1/3*j**2 + 16/3 - 8/3*j = 0.
4
Let n(a) = -a**2 - 4*a. Let f(w) = 2*w - 16. Let z be f(6). Let h be n(z). Factor h + 6/7*o**2 + 4/7*o + 2/7*o**3.
2*o*(o + 1)*(o + 2)/7
Let -8/5 - 24/5*r + 14/5*r**2 = 0. Calculate r.
-2/7, 2
Suppose 0 = 5*h - 12 - 13. Factor -12*g + h - 3 + 2*g**2 + 16.
2*(g - 3)**2
Let c = 46/63 + -4/63. Factor c*z**4 + 0 + 0*z - 4/3*z**3 + 0*z**2.
2*z**3*(z - 2)/3
Let t(r) be the third derivative of -r**6/40 + r**4/8 + r**2. Factor t(b).
-3*b*(b - 1)*(b + 1)
Let s(n) be the first derivative of 4*n**3/3 - 4*n**2 + 4*n - 8. Solve s(u) = 0.
1
Let o(b) be the first derivative of 3*b**4/4 + 23*b**3/5 + 3*b**2 - 24*b/5 - 8. Factor o(s).
3*(s + 1)*(s + 4)*(5*s - 2)/5
Let p(f) be the first derivative of -f**3/3 - 5*f**2/2 - 4*f - 20. Suppose p(w) = 0. What is w?
-4, -1
Let r = 4 + 2. Let m = 8 - r. Factor -4 + 4 - b - b**3 + m*b**2.
-b*(b - 1)**2
Let r = 416 + -2910/7. Factor r*y**2 - 8/7 - 6/7*y.
2*(y - 4)*(y + 1)/7
Find k such that 3*k**4 + 6 - 2*k - 7 - 2*k**4 + 2*k**3 = 0.
-1, 1
Let l(y) be the third derivative of -y**9/90720 + y**8/6048 - y**7/945 + y**6/270 - y**5/30 - 2*y**2. Let a(m) be the third derivative of l(m). Factor a(d).
-2*(d - 2)**2*(d - 1)/3
Let q(m) be the third derivative of 0*m**3 + 1/48*m**4 + m**2 + 0 + 1/420*m**7 - 1/120*m**5 + 0*m - 1/240*m**6. Determine a, given that q(a) = 0.
-1, 0, 1
Determine f so that 2*f**3 - 7*f**3 + 4*f**4 - 5*f**2 + 6*f**2 = 0.
0, 1/4, 1
Let t = 484/717 - 2/239. Solve -4/3*p + 5/3*p**2 + 1/3 - t*p**3 = 0 for p.
1/2, 1
Let h(v) be the second derivative of v**4/9 - 14*v**3/9 + 4*v**2 - 12*v. Factor h(m).
4*(m - 6)*(m 