4*f**7 + 0*f**5 + 0 + 1/60*f**6 + 0*f**2. Determine h so that o(h) = 0.
0, 1
Let v(b) be the third derivative of b**8/42 + 13*b**7/105 + 11*b**6/60 + b**5/15 + 39*b**2. Let v(z) = 0. What is z?
-2, -1, -1/4, 0
Let m = -28036/45 - -623. Let q = m - -31/45. Factor q*w**2 - 2/3*w + 0.
2*w*(w - 1)/3
Suppose 2*w = -3*w - 10, -4*m = 3*w - 6. Suppose 2/5*b**2 - 2/5*b**m - 2/5*b**4 + 2/5*b + 0 = 0. What is b?
-1, 0, 1
Suppose 5*s + o - 8 - 9 = 0, -7 = -s + o. Let f(u) be the second derivative of -1/21*u**3 + 0*u**2 + 0 + 1/42*u**s - u. Factor f(b).
2*b*(b - 1)/7
Suppose 5*n + 88 = d, 3*d - 2*n + 80 - 370 = 0. Let s = d - 488/5. Let -2/5*r**2 + 0 + s*r = 0. What is r?
0, 1
Let b(i) be the first derivative of -2*i**3/21 + 3*i**2/7 + 12. Factor b(p).
-2*p*(p - 3)/7
Let w(u) be the third derivative of -u**8/10080 + u**7/840 - u**6/180 + u**5/20 + 3*u**2. Let a(o) be the third derivative of w(o). Factor a(n).
-2*(n - 2)*(n - 1)
Find y such that -28*y**5 + 0*y + 0 + 96/7*y**3 + 12*y**4 + 16/7*y**2 = 0.
-2/7, 0, 1
Let j(p) = p**2 - p + 1. Let w(o) = -3*o**3 + 26*o**2 - 41*o + 20. Let z(b) = 2*j(b) - w(b). Factor z(a).
3*(a - 6)*(a - 1)**2
Let g be (-2)/10 + (-186)/(-900). Let m(q) be the third derivative of 0*q**4 + 0 + 0*q - 3*q**2 + 0*q**3 + g*q**5. Find b, given that m(b) = 0.
0
Suppose 6*o = 4*o. Suppose o*p + 2/7*p**2 + 0 + 1/7*p**3 = 0. Calculate p.
-2, 0
Let o = 1/27 + 8/27. Let y(l) be the third derivative of -1/24*l**4 + 1/60*l**5 - 2*l**2 + 0 - o*l**3 + 0*l. Factor y(m).
(m - 2)*(m + 1)
Let p(i) be the first derivative of i**8/9240 - i**6/660 - i**5/330 + 4*i**3/3 - 1. Let j(s) be the third derivative of p(s). Factor j(r).
2*r*(r - 2)*(r + 1)**2/11
Let r = -10/11 - -31/22. Solve 0 + r*k**5 - k**2 + k**4 - 1/2*k + 0*k**3 = 0.
-1, 0, 1
Let r = -197 - -434/3. Let j = -51 - r. Factor 2*i + j + 2/3*i**2.
2*(i + 1)*(i + 2)/3
Let d(x) be the first derivative of x**6/3 + x**5/5 - 3*x**4/4 - x**3/3 + x**2/2 - 18. Factor d(h).
h*(h - 1)*(h + 1)**2*(2*h - 1)
Determine k, given that 0*k**4 - 4*k**2 + 2*k**3 + k**2 - k**4 + 2*k**2 = 0.
0, 1
Let j(w) be the first derivative of w**6/27 - 2*w**5/45 - w**4/9 + 4*w**3/27 + w**2/9 - 2*w/9 + 2. Solve j(b) = 0.
-1, 1
Let w be (-12 + (2 - 2))/(-1). Suppose -4*s - x + 10 = -3, -4*s - w = -4*x. Factor -8*k**3 + 0*k**2 + 10*k**2 - 8*k - 2*k**2 + 4*k**s + 2*k**4 + 2.
2*(k - 1)**4
Let a(g) be the first derivative of g**7/3360 + g**6/480 + g**5/240 - 4*g**3/3 + 1. Let u(x) be the third derivative of a(x). Find s, given that u(s) = 0.
-2, -1, 0
Let g(x) be the first derivative of -x**5/4 - 5*x**4/4 - 5*x**3/4 + 8. Factor g(v).
-5*v**2*(v + 1)*(v + 3)/4
Determine k so that -3 + 39*k + 0 + 3*k**3 + 3*k**2 - 42*k = 0.
-1, 1
Let n(i) be the second derivative of 2/33*i**3 - 1/11*i**2 + 0 - 4*i - 1/66*i**4. Suppose n(b) = 0. What is b?
1
Solve 0*k**4 + 2*k**4 - k**3 + 4*k**2 - 4*k**5 + 10*k**4 - 11*k**3 = 0 for k.
0, 1
Factor -13/4*g + 3*g**3 + 1/2 + 17/4*g**2.
(g + 2)*(3*g - 1)*(4*g - 1)/4
Suppose -5*x = -5*m + 30, 8*m - 16 = 3*m - 2*x. Suppose 0 = -3*u + 2*u + 3. Factor -b**u - 2*b**5 + 4*b**m - 2*b**5 + b**5.
-b**3*(b - 1)*(3*b - 1)
Let u(y) be the second derivative of 2*y**5/55 - 5*y**4/66 + y**3/33 + 3*y. Let u(w) = 0. Calculate w.
0, 1/4, 1
Let i(d) = 4*d**2 + 10*d + 4. Let l(s) = -13*s**2 - 31*s - 11. Let r(q) = -14*i(q) - 4*l(q). Factor r(y).
-4*(y + 1)*(y + 3)
Suppose -3/5*y**2 + 3/5*y - 3/5*y**3 + 3/5 = 0. Calculate y.
-1, 1
Let n(a) be the third derivative of 1/504*a**8 + 0*a**3 + 1/36*a**4 + 0*a**7 + 0 + 0*a - 1/90*a**6 - 3*a**2 + 0*a**5. Factor n(k).
2*k*(k - 1)**2*(k + 1)**2/3
Let x(c) = -3*c**4 - 7*c**3 + 5*c**2 + 7*c - 2. Let m(t) = -8*t**4 - 20*t**3 + 14*t**2 + 20*t - 6. Let l(n) = 4*m(n) - 11*x(n). Suppose l(f) = 0. What is f?
-1, 1, 2
Let x(w) be the third derivative of w**7/945 - w**6/270 - w**5/90 + 24*w**2. Find j, given that x(j) = 0.
-1, 0, 3
Let 4/7*g + 4/7*g**2 - 8/7 = 0. What is g?
-2, 1
Let l(c) = c**2 + c - 3. Let a be l(5). Let r = 82/3 - a. Factor 0 + 1/3*d - r*d**2.
-d*(d - 1)/3
Let g = 9 - 5. What is q in -16*q**2 - g*q**3 + 2*q**4 - 2*q**3 + 22*q**2 - 2*q = 0?
0, 1
Let s(l) be the third derivative of l**6/60 - l**5/30 - 5*l**4/12 - l**3 - 4*l**2. Factor s(x).
2*(x - 3)*(x + 1)**2
Let s(y) be the third derivative of y**9/22680 - y**8/30240 + y**5/15 + 3*y**2. Let j(v) be the third derivative of s(v). Factor j(m).
2*m**2*(4*m - 1)/3
Factor 9/4*p**2 + 3/2*p**3 + 0 - 3/4*p**4 + 0*p.
-3*p**2*(p - 3)*(p + 1)/4
Let t = 57/122 - -2/61. Determine o so that -1/2*o**2 + 0 + o**5 + 1/2*o**4 + t*o - 3/2*o**3 = 0.
-1, 0, 1/2, 1
Let f(z) = -2*z + 37. Let n be f(17). Let w(o) be the third derivative of 0*o - 3*o**2 - 1/18*o**4 + 0*o**n + 1/90*o**5 + 0. Factor w(y).
2*y*(y - 2)/3
What is d in 10/9*d + 2/9 + 4/9*d**2 - 16/9*d**3 = 0?
-1/2, -1/4, 1
Let v = 3 - 7. Let m be (-10)/(-4) - (-2)/v. Let -4/7*d - 10/7*d**2 + m*d**3 + 0 = 0. What is d?
-2/7, 0, 1
Let v(t) be the first derivative of -2*t**6/3 - 4*t**5/5 + t**4 + 4*t**3/3 - 4. Factor v(y).
-4*y**2*(y - 1)*(y + 1)**2
Let z(m) = -3*m**3 - 5*m**2 + 4*m + 12. Let f(g) = g**2 + g. Let c be (2 - 1)*-1*1. Let x(w) = c*z(w) + 4*f(w). Factor x(r).
3*(r - 1)*(r + 2)**2
Let w(n) = 6*n**2 - 5*n - 6. Let h be 9 + (-2)/(-2 - 0). Let u = 5 - h. Let v(d) = 5*d**2 - 4*d - 5. Let y(f) = u*v(f) + 4*w(f). Solve y(o) = 0 for o.
-1, 1
Factor -1/9*k**3 + 0*k + 1/9*k**5 + 1/9*k**4 - 1/9*k**2 + 0.
k**2*(k - 1)*(k + 1)**2/9
Let v(x) = 0*x + 8 - 3*x + 4*x. Let c be v(-6). Factor -d**3 - 6*d**5 + c*d**2 - d**3 - 10*d**4 + 0*d**5.
-2*d**2*(d + 1)**2*(3*d - 1)
Let x(o) be the first derivative of 2*o**3/15 - 7*o**2/5 + 12*o/5 - 37. Find f, given that x(f) = 0.
1, 6
Suppose -2*m**5 - 4*m**4 + 4*m**2 - 2*m**5 - 4*m + 8*m**3 - 4 + 4*m**2 + 0*m**5 = 0. Calculate m.
-1, 1
Suppose 0*w = -2*w - 4*v + 16, 3*w - 20 = -5*v. What is g in w*g**3 + 4*g**2 - g**2 + 3*g**3 = 0?
-1, 0
Let g be 36/135*(-5)/(-2). Factor -2/3*t**3 - 4/3*t**2 + 0 - g*t.
-2*t*(t + 1)**2/3
Factor -9/7*c**2 - 6/7*c - 3/7*c**3 + 0.
-3*c*(c + 1)*(c + 2)/7
Let p = 8/5 + -7/5. Let w(c) be the first derivative of 0*c + 8/15*c**3 + 1/15*c**6 + p*c**2 + 3/5*c**4 + 1 + 8/25*c**5. Let w(m) = 0. What is m?
-1, 0
Let w = -318 + 318. Let 0 + w*d + 3/5*d**2 = 0. What is d?
0
Let l(a) = 8*a**2 + a + 2 - 2*a - 15*a**2. Let v(t) = -3*t**2. Let n(b) = 3*l(b) - 6*v(b). Factor n(s).
-3*(s - 1)*(s + 2)
Let f(x) = x**3 - 21*x**2 + 2*x - 40. Let o be f(21). Solve -5/4*p + p**o - 1/4*p**3 + 1/2 = 0.
1, 2
Let o(m) be the second derivative of m + 1/168*m**7 + 0*m**2 - 1/60*m**6 + 0*m**3 + 0 + 1/80*m**5 + 0*m**4. Suppose o(h) = 0. Calculate h.
0, 1
Let g(r) be the third derivative of r**8/784 + 4*r**7/735 + r**6/120 + r**5/210 - 2*r**2. Factor g(q).
q**2*(q + 1)**2*(3*q + 2)/7
Let k be (-2)/1 + (-48)/(-9) + -3. Suppose -k*h + 0*h**2 + 0 + 1/3*h**3 = 0. Calculate h.
-1, 0, 1
Let q(r) be the first derivative of -r**5/105 + r**4/42 - r**2 + 3. Let m(x) be the second derivative of q(x). Suppose m(s) = 0. What is s?
0, 1
Let i be (-390)/40 - (-2)/(-8). Let k be ((-2)/i)/(6/70). Solve -10*l**2 + 2/3 - k*l = 0.
-2/5, 1/6
Suppose -2*f + 3*q - 11 = 0, -3*f - 5*q + 29 = -f. Let j = 5 - f. Suppose 0 - 567/4*h**4 + 2*h - 25*h**2 + 207/2*h**j = 0. Calculate h.
0, 2/9, 2/7
Let b(z) be the second derivative of -1/12*z**4 + z + 0*z**3 + 1/60*z**5 + 0 - z**2. Let c(j) be the first derivative of b(j). Factor c(x).
x*(x - 2)
Let m = -907 + 8173/9. Suppose -5*u = 0, -2*u = -3*n + 8 - 2. Suppose 2/3*f**n + m*f + 4/9 = 0. What is f?
-1, -2/3
Let l(o) be the first derivative of 29*o**3/9 - 31*o**2/6 + 2*o/3 - 19. Find n such that l(n) = 0.
2/29, 1
Let w be 11/(-22)*(-3)/(-2). Let j = -1/4 - w. Factor 1/2*s**5 - s**3 + j - s**2 + 1/2*s**4 + 1/2*s.
(s - 1)**2*(s + 1)**3/2
Let s(n) be the second derivative of 1/42*n**4 + 0 + 2*n + 3/7*n**2 - 4/21*n**3. Factor s(d).
2*(d - 3)*(d - 1)/7
Factor 9/4*h - 3/4*h**3 - 3/2 + 0*h**2.
-3*(h - 1)**2*(h + 2)/4
Let i be (-44)/(-16) + (-1)/(-4). Suppose -i = 3*q - 9. Suppose 0 + 0*b + 0*b**3 + 1/3*b**4 - 1/3*b**q = 0. What is b?
-1, 0, 1
Let p(n) be the first derivative of n**6/2 - 9*n**5/5 + 9*n**4/4 - n**3 + 21. Factor p(l).
3*l**2*(l - 1)**3
Let v(p) = p**4 - p**3 + 9*p**2 - 5*p - 5. Let q(t) = -2 - 4 - t - t**3 + t**2 + 5. Let b(s) = -5*q