0, 2
Let g(c) be the second derivative of 7*c**4/54 + 2*c**3/27 - 11*c. Solve g(r) = 0.
-2/7, 0
Let z(d) be the third derivative of d**7/420 + d**6/480 - d**5/48 + d**4/48 - 10*d**2. Determine u so that z(u) = 0.
-2, 0, 1/2, 1
Determine o so that 0 + 0*o - 2/11*o**2 - 6/11*o**3 + 8/11*o**4 = 0.
-1/4, 0, 1
Factor -4/5*i**4 + 0 + 8/5*i - 4*i**2 + 16/5*i**3.
-4*i*(i - 2)*(i - 1)**2/5
Factor -3*q - 7*q**3 - 7*q**2 - 2*q**3 + 16*q**2 + 3*q**4.
3*q*(q - 1)**3
Find j, given that 0*j**3 + 11*j**3 + 80*j**5 - 7*j**3 - 8*j**2 + 67*j**4 + 25*j**4 = 0.
-1, -2/5, 0, 1/4
Let b(t) = t**2 - 4*t - 7. Let m(o) = 2*o**2 - 6*o - 10. Suppose 5*r = 30 + 5. Let s(u) = r*b(u) - 5*m(u). Factor s(v).
-(v - 1)*(3*v + 1)
Factor 0 + 4/11*t**2 + 2/11*t + 2/11*t**3.
2*t*(t + 1)**2/11
Find w such that 3*w**3 + 2*w + 11*w**2 - 20*w**2 + 4*w = 0.
0, 1, 2
Let f(r) = -r**3 - 36*r**2 - 35*r + 3. Let c be f(-35). Let -2/7*b**4 + 0*b - 4/7*b**c - 2/7*b**2 + 0 = 0. What is b?
-1, 0
Let n(w) be the first derivative of -9*w**5/25 - 3*w**4/5 + w**3/5 + 3*w**2/5 - 10. Factor n(u).
-3*u*(u + 1)**2*(3*u - 2)/5
Let r(g) be the third derivative of 0*g**4 + 1/300*g**6 + 1/150*g**5 + 0*g - g**2 + 0*g**3 + 0. Suppose r(c) = 0. Calculate c.
-1, 0
Factor 2*a - 4 - 1/2*a**3 + a**2.
-(a - 2)**2*(a + 2)/2
Let w(d) be the second derivative of -d**6/120 - d**5/15 - 5*d**4/24 - d**3/3 + d**2 - 3*d. Let v(t) be the first derivative of w(t). Factor v(u).
-(u + 1)**2*(u + 2)
Suppose -q - 3*q - 8 = 0. Let t be 1 - (-1)/2*q. Let 0*p - 1/3*p**2 + t = 0. Calculate p.
0
Let z(x) be the second derivative of -x**8/33600 - x**7/4200 - x**6/1200 - x**5/600 - x**4/6 - 2*x. Let n(c) be the third derivative of z(c). Solve n(f) = 0.
-1
Let c be (2 - (-33)/(-12))*16. Let d be (-62)/c - (-5)/(-30). Suppose 2*i**4 - i**d - 5*i**4 + 2*i**4 + i**3 + i**2 = 0. Calculate i.
-1, 0, 1
Let v(m) = -7*m**4 - 5*m**3 + 5*m - 5. Let q(k) = -k**4 - k**3 + k - 1. Let n(i) = 5*q(i) - v(i). Suppose n(b) = 0. Calculate b.
0
Let s(f) be the third derivative of -1/280*f**7 + 3/80*f**5 - 1/4*f**3 + 2*f**2 + 1/32*f**4 + 0 + 0*f - 1/160*f**6. Solve s(u) = 0 for u.
-2, -1, 1
Determine h so that -2/15*h**5 - 2/15*h**4 + 2/5*h**3 + 4/15*h + 2/3*h**2 + 0 = 0.
-1, 0, 2
Suppose -5*a + 0 = -15. Factor 3*r**2 + 4*r + a*r**2 + r**4 - 2*r**3 + 4 - 9*r**2.
(r - 2)**2*(r + 1)**2
Determine t so that 16/7*t**2 + 5/7*t - 2/7 + 9/7*t**3 = 0.
-1, 2/9
Let o(u) be the second derivative of u**4/54 + 4*u**3/9 + u - 42. Factor o(g).
2*g*(g + 12)/9
Let l(b) be the third derivative of -b**6/1620 - b**5/270 - b**4/108 - b**3/3 - b**2. Let f(c) be the first derivative of l(c). Factor f(q).
-2*(q + 1)**2/9
Let o be 28/(-6)*((-8)/14 + 0). Solve 8/3*k - 2/3*k**2 - o = 0 for k.
2
Let h(q) = q**5 + 3*q**4 - 3*q**3 - 3*q**2 - q + 1. Let z(a) = a**5 + a**4 + a**3 - a**2 + a - 1. Let n(m) = h(m) + z(m). Factor n(x).
2*x**2*(x - 1)*(x + 1)*(x + 2)
Let k = 79 - 79. Determine o, given that -2/3*o**2 + k - 2/3*o**3 + 0*o = 0.
-1, 0
Let a(i) be the second derivative of 0*i**2 - 3*i + 3/5*i**5 + 0 + 7/4*i**4 - i**3. Let a(r) = 0. What is r?
-2, 0, 1/4
Let a(g) be the first derivative of 3*g**5/5 + 2*g**4 + 2*g**3 - g - 6. Solve a(y) = 0.
-1, 1/3
Suppose 4*t = 3*t. Let n be (t - (-1)/(-9))*-6. Find f such that -1/3*f**3 - n*f**2 + 0 + 0*f = 0.
-2, 0
Let m(j) = 30*j**3 - 207*j**2 + 126*j - 18. Let w(o) = 59*o**3 - 414*o**2 + 253*o - 37. Let h(g) = 5*m(g) - 3*w(g). Suppose h(i) = 0. What is i?
1/3, 7
Let n(v) be the second derivative of -v**7/126 - v**6/90 + v**5/30 - 9*v. Factor n(z).
-z**3*(z - 1)*(z + 2)/3
What is s in 6*s**2 - 3 + s**3 + 8 - 7*s**2 + 7 - 8*s = 0?
-3, 2
Let b(f) = f**2 - 4*f + 3. Suppose -6*d + 10 = -d. Let c be b(d). Let r(l) = 3*l**2 - 4*l + 5. Let x(p) = p**2 - p + 1. Let i(v) = c*r(v) + 4*x(v). Factor i(n).
(n - 1)*(n + 1)
Let r(h) be the first derivative of 2 + h - 1/16*h**4 + 5/12*h**3 - h**2. Factor r(w).
-(w - 2)**2*(w - 1)/4
Let u(r) be the second derivative of r**6/15 - 4*r**5/5 + 8*r**4/3 + 13*r. Factor u(g).
2*g**2*(g - 4)**2
Factor 11/6*z**2 - 1/6*z**3 - 4*z - 6.
-(z - 6)**2*(z + 1)/6
Let k(b) = 9*b**2 + 21*b + 33. Let t(x) = -2*x**2 - 5*x - 8. Suppose 6*s - 5 = 7*s. Let m(v) = s*k(v) - 21*t(v). Find y, given that m(y) = 0.
-1, 1
Let r(m) be the first derivative of -3*m**4/16 + m**3 - 38. Determine w, given that r(w) = 0.
0, 4
Let a(l) be the third derivative of l**6/60 - l**5/30 - l**4/6 - 2*l**2. Factor a(g).
2*g*(g - 2)*(g + 1)
Let n = -11 - -15. Suppose w - 8 = -n*i, 2*w + 1 = -2*i - 1. Let 0 - y**i - y**2 - 1/3*y**4 - 1/3*y = 0. What is y?
-1, 0
Let u(m) be the second derivative of 1/3*m**3 - 1/12*m**4 + 0*m**2 + 2*m + 0. Determine v so that u(v) = 0.
0, 2
Let z(k) be the second derivative of -k**7/3360 + k**6/480 - k**5/240 + k**3/2 + 3*k. Let c(j) be the second derivative of z(j). Let c(q) = 0. What is q?
0, 1, 2
Determine x so that 2*x - 32*x**3 - 8*x**2 + 1/2 = 0.
-1/4, 1/4
Find h such that 1/4*h**2 + 0 - 5/4*h = 0.
0, 5
Let o be (0 + 2 + -3)*-2. Suppose o*p + 19 = 4*s + 5, p + 11 = 3*s. Let 4*y**4 - 5*y**4 + 2*y**5 + 2*y**3 + 6*y**s - y**4 = 0. Calculate y.
-1, 0
Let x(s) be the third derivative of -s**8/252 + 8*s**7/315 - s**6/15 + 4*s**5/45 - s**4/18 - 11*s**2. Factor x(q).
-4*q*(q - 1)**4/3
Suppose -5*a - 2 = -17. Determine n, given that 2*n**2 - n**3 + 2*n**2 - a*n**2 + 0*n**3 = 0.
0, 1
Let o(s) = -3*s**5 + s**4 - 2*s**2 + s - 3. Let z(i) = -13*i**5 + 3*i**4 + i**3 - 8*i**2 + 3*i - 13. Let y(j) = -18*o(j) + 4*z(j). Solve y(m) = 0 for m.
-1, 1
Suppose 7*b = 4*b + 9. Let d(w) be the first derivative of -14/5*w**5 + 13*w**2 + 23/2*w**4 - 18*w**b - 1 - 4*w. Solve d(h) = 0 for h.
2/7, 1
Let o(c) be the third derivative of -c**7/210 - c**6/45 - c**5/30 - 5*c**3/6 + 2*c**2. Let y(z) be the first derivative of o(z). Factor y(s).
-4*s*(s + 1)**2
Let r(t) = -3 + 3 - 2 - t. Let i be r(-5). Factor 4*k**2 + 2 - i*k**2 + 2 - 5.
(k - 1)*(k + 1)
Let k be (-4)/(3 - (-3 + 16)). Suppose -4/5*o**2 + 2/5*o**5 + 4/5*o**3 - 6/5*o - k + 6/5*o**4 = 0. Calculate o.
-1, 1
Let y = 43 + -31. Let d be 0/(-1) + 3/y. Factor 0*h**4 + 0*h + 0 - d*h**5 - 1/2*h**2 + 3/4*h**3.
-h**2*(h - 1)**2*(h + 2)/4
Solve 6*m - 10 + 2*m**3 - 9 - 8 - 6*m**2 + 25 = 0 for m.
1
Let w(x) = 3*x - 3. Let r be w(3). Let j be (r/(-21))/(5/(-7)). Solve 0*b**2 + 0*b + 0*b**4 + j*b**3 + 0 - 2/5*b**5 = 0.
-1, 0, 1
Let z be -15 - -12 - (-130)/42. Let i(p) be the first derivative of -3 - 4/7*p + z*p**3 - 1/7*p**2. Solve i(j) = 0 for j.
-1, 2
Let t(w) be the first derivative of w - 5 - 2*w**2 + 25/12*w**3 - 1/24*w**6 + 7/20*w**5 - 19/16*w**4. What is m in t(m) = 0?
1, 2
Let p(h) be the second derivative of 4*h + 0*h**3 + 0*h**2 + 0 + 1/30*h**4. What is z in p(z) = 0?
0
Let l(t) be the third derivative of -1/54*t**4 + t**2 - 7/540*t**6 + 1/30*t**5 + 0*t + 0*t**3 + 0. Factor l(n).
-2*n*(n - 1)*(7*n - 2)/9
Let j(y) = y**2 - 12*y + 24. Let m be j(10). Suppose c + 13 = 3*o, -o + 6*o - 17 = m*c. Factor 2/11*i**c + 0 + 0*i.
2*i**2/11
Suppose 5*c = -2*f + 20, -2*f - f + 8 = 2*c. Let w be 2/4*(-40)/(-5). Determine q, given that q - 2*q + 4*q**4 + 2*q**3 - q**5 - w*q**c = 0.
-1, 0, 1
Let x = 15 - 6. Let v = x - 5. Find g such that 20*g**v + 18*g**3 + 2*g + g**2 - 6*g - 7*g**2 = 0.
-1, -2/5, 0, 1/2
Let 2*a**2 + 2*a**2 - 8 + 0*a**2 - 2*a**2 = 0. Calculate a.
-2, 2
Let d(z) be the second derivative of -z**4/15 + 4*z**3/5 + 17*z. Determine h, given that d(h) = 0.
0, 6
Let b(u) be the first derivative of u**3/3 + 7*u**2/2 - 6*u - 1. Let d be b(-8). Factor -2 - 3*s - d + 2 - s**2.
-(s + 1)*(s + 2)
Let q(o) = -o**2 - 14*o - 13. Let r be q(-13). Factor r - 4/3*y + 2/3*y**2.
2*y*(y - 2)/3
Determine m so that 3/2*m**3 + 0 + 2/3*m**5 - 1/6*m**2 - 11/6*m**4 - 1/6*m = 0.
-1/4, 0, 1
Let h(f) = 5*f**3 + 18*f**2 + 57*f + 51. Let p(l) = 16*l**3 + 54*l**2 + 172*l + 152. Let s(t) = 20*h(t) - 6*p(t). Suppose s(k) = 0. What is k?
-3
Find n, given that 1/5*n**4 + 3/5*n**2 + 1/5*n + 3/5*n**3 + 0 = 0.
-1, 0
Factor -6/7*n**3 - 2/7*n**4 - 2/7*n - 6/7*n**2 + 0.
-2*n*(n + 1)**3/7
Let v = 123/4 + -92/3. Let h(n) be the third derivative of 0 + 2*n**2 + v*n**4 + 0*n + 2/9*n**3 + 1/90*n**5. Factor h(k).
2*(k + 1)*(k + 2)/3
Let i(y) be the third derivative of y**6/270 + y**5/135 - y**4/54 - 2*y**3/27 - 13*y**2. Factor i(t).
4*(t - 1)*(t + 