5*w - 0*w + 25, 15 = -2*j + i*w. Factor 4/7*f**3 + j*f**4 - 2/7*f**5 - 2/7*f + 0*f**2 + 0.
-2*f*(f - 1)**2*(f + 1)**2/7
Let c(k) be the second derivative of k**5/5 - k**4/6 - 5*k**3/3 - 2*k**2 + 7*k + 1. Factor c(x).
2*(x - 2)*(x + 1)*(2*x + 1)
Let j(w) be the third derivative of -w**5/420 + w**4/84 + w**3/14 - 9*w**2. Suppose j(y) = 0. Calculate y.
-1, 3
Let k(x) be the second derivative of 9*x + 0*x**2 - 4/3*x**3 - 7/30*x**6 + 0 + 13/10*x**5 - 5/3*x**4. Suppose k(y) = 0. What is y?
-2/7, 0, 2
Let i(q) be the first derivative of 2 - 7/4*q**5 - 1/2*q**2 + 2/3*q**3 + 0*q + 31/16*q**4. Determine u so that i(u) = 0.
-2/5, 0, 2/7, 1
Let n = 16/17 + -14/51. Let -2/3*a**3 + 0*a**2 - 4/3*a**4 - n*a**5 + 0 + 0*a = 0. What is a?
-1, 0
Let r(p) = -p**3 - 3*p**2 + 5*p + 6. Suppose t + 5 - 1 = 0. Let a be r(t). Find o, given that 1/4*o - 1/4*o**a + 0 = 0.
0, 1
Suppose -l + 4 = 4. Let b = 16 - 47/3. Factor 1/3 + l*u - b*u**2.
-(u - 1)*(u + 1)/3
Let q = -2/29 + 35/87. Factor -q + 2/3*g - 1/3*g**2.
-(g - 1)**2/3
Suppose 0 + 3 = -2*o + h, 3 = 2*o + h. Let m = 78 - 76. Factor 0*y + 0*y**m - 2/5*y**4 - 2/5*y**3 + o.
-2*y**3*(y + 1)/5
Let n(z) = -z**2 + 8*z + 2. Let t be n(8). Suppose 4*g + 4 = 6*g. Factor 2*y + 0*y + 3*y**3 + t*y**g + y + 4*y**2.
3*y*(y + 1)**2
Let t(v) be the third derivative of -v**5/180 - v**4/24 + v**2. Factor t(b).
-b*(b + 3)/3
Let w be (-4)/8*(-32)/104. Let w*x**2 - 12/13*x + 18/13 = 0. What is x?
3
Let u(t) be the second derivative of t**7/7 - 2*t**6/3 + 5*t**4/3 - t**3 - 3*t. Determine p so that u(p) = 0.
-1, 0, 1/3, 1, 3
Solve -4*z**4 + 34*z + 32*z**3 - 98*z + 32*z**2 + 6 - 4*z**5 - 70 = 0.
-2, -1, 2
Let t = 0 - -3. Suppose b**2 + b**2 - b + 2*b**3 - t*b + 0*b = 0. What is b?
-2, 0, 1
Let h(v) be the second derivative of v**7/273 + v**6/195 - v**5/130 - v**4/78 - 7*v. Solve h(w) = 0 for w.
-1, 0, 1
Let g = -13 + 15. Let m be (-4)/(-32)*g*19. Determine j, given that 23/4*j**2 - 7/4*j**5 - 1/4*j**3 - 1 + 2*j - m*j**4 = 0.
-2, -1, 2/7, 1
Let n = -24 + 28. Let 0 + 2*o**2 + 3 + 4*o - n - 5 = 0. What is o?
-3, 1
Let h(i) be the third derivative of -i**8/168 - 4*i**7/175 - i**6/75 + i**5/15 + 3*i**4/20 + 2*i**3/15 + 7*i**2. Solve h(p) = 0 for p.
-1, -2/5, 1
Let 0*o + 4*o**2 - 2*o + o - 3*o = 0. Calculate o.
0, 1
Let b(p) be the third derivative of 19/150*p**5 + 1/24*p**6 + 1/1680*p**8 + 4/525*p**7 + 4/15*p**3 + 5*p**2 + 0 + 0*p + 7/30*p**4. Determine o so that b(o) = 0.
-2, -1
Let d be 2/2 - (-69)/(-75). Let n(y) be the first derivative of 0*y + 1/10*y**2 - 2 + 2/15*y**3 - 1/30*y**6 - d*y**5 + 0*y**4. Factor n(r).
-r*(r - 1)*(r + 1)**3/5
Let r(b) be the second derivative of 3*b**5/20 - 3*b**3/2 - 3*b**2 - 17*b. Factor r(q).
3*(q - 2)*(q + 1)**2
Let y(l) be the first derivative of 10 + 1/8*l**3 + 0*l - 3/8*l**2 + 3/32*l**4. Factor y(t).
3*t*(t - 1)*(t + 2)/8
Suppose 4*r = -j + 2, 0 = -8*j + 3*j + 5*r + 10. Factor -3*c - 2*c + 24*c**2 + j*c - 27*c**2.
-3*c*(c + 1)
Let v(y) be the second derivative of -y**4/6 + 19*y**3/6 - 9*y**2/2 - 2*y. Let t be v(9). Factor 2*l**2 - 1/2*l**3 - 2*l + t.
-l*(l - 2)**2/2
Let f(q) be the second derivative of q**7/1260 - q**6/90 + q**5/15 - 2*q**4/9 - q**3/3 + q. Let c(v) be the second derivative of f(v). Solve c(a) = 0.
2
Let p(y) be the first derivative of 3*y**6/7 + 22*y**5/35 - 25*y**4/14 - 10*y**3/7 + 16*y**2/7 + 8*y/7 + 28. Solve p(f) = 0.
-2, -1, -2/9, 1
Suppose -10 = 3*v - 4. Let m be 10/v*(-6)/10. Let z**2 - 3*z**3 + 0*z**3 + 2*z**m = 0. What is z?
0, 1
Let z = -109 - -112. Factor 0*u**2 + 2/5*u**z - 4/5 - 6/5*u.
2*(u - 2)*(u + 1)**2/5
Suppose -8*u + 11*u = 12. Let c(d) be the first derivative of 2 - 1/18*d**u + 0*d + 0*d**3 + 0*d**2. Solve c(h) = 0 for h.
0
Let m(z) be the first derivative of 0*z + 1/2*z**4 + 2/3*z**3 + 0*z**2 - 2. Factor m(s).
2*s**2*(s + 1)
Let b(y) = 2*y**5 + 8*y**4 + 4*y**3 + 4*y**2 - 2. Let l(p) = p**4 - p**3 + p**2 - 1. Let t(z) = b(z) - 2*l(z). Solve t(f) = 0 for f.
-1, 0
Suppose -z = 2*z + 18. Let u(l) = l**2 - 1. Let r(m) = 7*m**2 - 3*m - 4. Let h(i) = z*u(i) + r(i). Factor h(y).
(y - 2)*(y - 1)
Suppose 0 = -2*k + 3*j + 19, 0 = k + 4*k - 3*j - 34. Let s = 9 - k. Solve 2*v + 2*v**3 + 9 - s*v**2 - 9 = 0.
0, 1
Factor 2/5*u - 2/5*u**2 + 4/5.
-2*(u - 2)*(u + 1)/5
Let q(p) = p**2 + 9*p + 11. Let n be q(-8). Determine z so that 8*z + 28*z**4 - 8*z**2 + 8*z**2 + 6*z**5 + 32*z**2 + 20*z**n + 26*z**3 = 0.
-2, -1, -2/3, 0
Suppose -7*l**2 - 6 + 0*l**2 + 6*l**3 + l**2 - 21*l + 3*l**3 = 0. What is l?
-1, -1/3, 2
Let v be (6 - 1) + -1 - 1. Factor -98*g**2 - 98*g**v + 7*g + 5*g + 8 - 4*g.
-2*(g + 1)*(7*g - 2)*(7*g + 2)
Let v = -48 - -48. Factor -5/2*y**2 + 5/2*y**4 - y + v + y**3.
y*(y - 1)*(y + 1)*(5*y + 2)/2
Suppose 0 = -2*z - 2*z - 3*t - 2, 4*z = 2*t + 8. Let a be z + -2*(-2)/4. Determine o, given that 2/3 - 3*o + 7/3*o**a = 0.
2/7, 1
Let s(f) be the third derivative of f**7/45 + 11*f**6/180 + f**5/90 - f**4/12 + 17*f**2. Let s(n) = 0. What is n?
-1, 0, 3/7
Let b(i) be the third derivative of i**5/210 - i**4/84 - 18*i**2. Factor b(u).
2*u*(u - 1)/7
Let a(i) be the third derivative of -i**5/40 - 9*i**4/16 - 44*i**2. Factor a(d).
-3*d*(d + 9)/2
Let k(u) = -u**5 + u**3 - u**2 + 1. Let a(q) = 3*q**5 - 12*q**4 - 33*q**3 - 27*q**2 - 18*q - 9. Let y(z) = -a(z) - 5*k(z). Factor y(w).
2*(w + 1)**4*(w + 2)
Let i(d) be the first derivative of -d**5/5 - d**4/2 + d**2 + d - 12. Solve i(p) = 0 for p.
-1, 1
Factor -4/5*z**3 + 0 + 4/5*z**2 - 1/5*z.
-z*(2*z - 1)**2/5
Let p(v) be the third derivative of v**6/40 + v**5/5 + v**4/2 + 2*v**2. Let p(c) = 0. Calculate c.
-2, 0
Let f be 8/68 + (-4)/34. Factor f*i**3 + 0*i + 8/5*i**2 - 2/5*i**5 + 0 - 6/5*i**4.
-2*i**2*(i - 1)*(i + 2)**2/5
Let o(j) be the first derivative of 49*j**5/5 - 91*j**4/6 + 68*j**3/9 - 4*j**2/3 + 4. What is d in o(d) = 0?
0, 2/7, 2/3
Let h = 16 + -21. Let w(n) = -n - 5. Let d be w(h). Let g**4 - 5/2*g**3 + d + 0*g - g**2 + 5/2*g**5 = 0. Calculate g.
-1, -2/5, 0, 1
Let n(m) = 6*m - 5. Let u be n(5). Let z = -23 + u. Factor 8/5*s - z*s**2 + 4/5*s**3 - 2/5.
2*(s - 1)**2*(2*s - 1)/5
Let x(m) be the third derivative of -m**7/210 - m**6/24 - 3*m**5/20 - 7*m**4/24 - m**3/3 + 30*m**2. What is p in x(p) = 0?
-2, -1
Let g(f) be the second derivative of 7/30*f**6 - 3*f - 1/6*f**4 - 2/21*f**7 - 3/40*f**5 + 1/12*f**3 + 0*f**2 + 0. Suppose g(n) = 0. Calculate n.
-1/2, 0, 1/4, 1
Factor -2/9*t**2 - 2/9 - 4/9*t.
-2*(t + 1)**2/9
Let i(b) be the second derivative of b**4/16 + 3*b**3/4 + 27*b**2/8 + b. Solve i(k) = 0 for k.
-3
Let b(u) be the second derivative of -3*u - 3/10*u**5 - 5/14*u**7 + 0*u**4 + 0 + 0*u**2 + 0*u**3 + 7/10*u**6. Determine j, given that b(j) = 0.
0, 2/5, 1
Factor 1/2*f**3 - 1/2*f + 0*f**2 + 0.
f*(f - 1)*(f + 1)/2
Let g be 82/8 + (-2)/8. Let s be (8/(-10))/((-4)/g). Suppose -4*f - 6*f**s + 3*f + 5*f**2 = 0. What is f?
-1, 0
Let b be 0 + -3*4/(-4). Let r be -3*(b + 38/(-12)). Let 0 + r*q - 7/4*q**3 + 5/4*q**2 = 0. Calculate q.
-2/7, 0, 1
Let x(d) be the second derivative of -d**5/70 + d**4/42 + 8*d. Suppose x(k) = 0. What is k?
0, 1
Let g(r) be the first derivative of r**6/10 + 3*r**5/10 - r**3 - 3*r**2/2 + 3*r - 2. Let l(s) be the first derivative of g(s). Factor l(b).
3*(b - 1)*(b + 1)**3
Let u = 62/57 + -8/19. Let w be 14/3 - (-10)/(-15). Suppose -d**3 + d - 1/3*d**2 + u - 1/3*d**w = 0. Calculate d.
-2, -1, 1
Let l(m) = -m + 7. Let o be l(3). Let f(b) be the second derivative of -1/6*b**o + b + 0 + b**2 + 1/10*b**5 - 1/3*b**3. Factor f(p).
2*(p - 1)**2*(p + 1)
Let w be ((-6)/8)/((-18)/4). Let i(h) be the first derivative of -3/5*h**5 - 7/9*h**3 + 0*h + 1 + w*h**2 + 5/4*h**4. Factor i(m).
-m*(m - 1)*(3*m - 1)**2/3
Let x(k) be the first derivative of -7/20*k**5 + 7/8*k**4 + 4 + 9/4*k + 1/24*k**6 - 15/8*k**2 - 1/6*k**3. Determine v, given that x(v) = 0.
-1, 1, 3
Let a(f) be the second derivative of f**5/110 - 7*f**3/33 + 6*f**2/11 + 29*f. Factor a(k).
2*(k - 2)*(k - 1)*(k + 3)/11
Suppose -1 = 5*m - k, -3 = -0*m - 2*m - 3*k. Factor g + m*g**2 + g**2 - 4*g**2 + 2*g**2.
-g*(g - 1)
Find v, given that 24/5*v - 8/5 + 14/5*v**2 = 0.
-2, 2/7
Let s(a) = a**3 + 3*a**2 - 7*a - 6. Let w be s(-4). Let c(v) be the first derivative of -2 - v**3 + 9/2*v**2 - w*v. Let c(q) = 0. Calculate q.
1, 2
Let m(v) = -28*v**4 + 13*v**3 + 28*v**2 - 8*v + 5. Let h(w) 