*(5*b - 2)
Let d(s) be the third derivative of 0 - 1/16*s**5 - 1/168*s**7 + 7*s**2 + 0*s**3 + 0*s + 1/24*s**6 + 0*s**4. Factor d(m).
-5*m**2*(m - 3)*(m - 1)/4
Let h(b) be the second derivative of -b**4/114 + 34*b**3/57 - 289*b**2/19 + 2*b + 6. Factor h(o).
-2*(o - 17)**2/19
Suppose -20 = -j - 5*p, 6*j - 4*j + 4*p - 10 = 0. Let l be (2/j)/((-24)/30). Solve -2 - 2*i - l*i**2 = 0 for i.
-2
Let j = -71 - -75. Let f(g) be the first derivative of -6 + 9/4*g**j + 0*g**2 - 3/5*g**5 - 2*g**3 + 0*g. Factor f(y).
-3*y**2*(y - 2)*(y - 1)
Let o(l) be the first derivative of l**7/5040 - l**6/216 + 5*l**5/144 + 19*l**3/3 - 28. Let q(j) be the third derivative of o(j). Factor q(g).
g*(g - 5)**2/6
Let q(f) = -f + 4. Let j be q(2). Let n be (-1)/j*-4 + 2. Determine k so that 4*k + 8*k**4 + 4*k**4 - n*k**3 + 2 - 14*k**4 = 0.
-1, 1
Let s(d) = 2*d**3 - 13*d**2 + 13*d - 17. Let i be s(8). Solve -8*w**4 + i*w + 19*w**5 - 60*w**3 + w**5 - 295*w + 64*w**2 = 0.
-2, 0, 2/5, 1
Let j(f) = f**2 + f + 8. Let v(c) = 2*c**2 + c + 9. Suppose -5*i - 2*n = 16, 5*n = 3*n - 6. Let l(o) = i*v(o) + 3*j(o). Let l(g) = 0. Calculate g.
-2, 3
Let t(z) be the second derivative of 0*z**2 + 1/30*z**5 - z + 25 - 1/18*z**4 - 2/9*z**3. Suppose t(s) = 0. What is s?
-1, 0, 2
Let z(v) be the first derivative of -7*v**6/15 - 102*v**5/25 - 119*v**4/10 - 62*v**3/5 - 18*v**2/5 + 841. Determine s, given that z(s) = 0.
-3, -1, -2/7, 0
Let m(s) = 6*s**3 - 60*s**2 - 8*s + 4. Let b(l) = -5*l**3 + 61*l**2 + 6*l - 3. Let a(u) = 4*b(u) + 3*m(u). Suppose a(c) = 0. What is c?
0, 32
Suppose 8*s - 4*s + j = 8, -j = 3*s - 5. Let v(z) be the second derivative of -1/4*z**4 - 2*z + 0*z**2 - z**s + 0. Factor v(l).
-3*l*(l + 2)
Factor -16/5*a**2 + 14/5*a + 2/5*a**3 + 0.
2*a*(a - 7)*(a - 1)/5
Let c = -28 - -33. Let m(r) = 0 - 3 - 6 + 2*r - 2*r**2 + 1. Let a(f) = f**2 - f + 8. Let x(j) = c*m(j) + 6*a(j). Solve x(k) = 0 for k.
-1, 2
Suppose -2*j = -3*u + 14, 2 = u - 4*j - 6. Determine r, given that -3*r + 5*r**4 - u*r**5 + 2*r - 24*r**3 - 16*r**2 - 21*r**4 - 3*r = 0.
-1, 0
Let v = 63 - 63. Let y(c) be the first derivative of -1 + 3/10*c**5 + 3/2*c**4 + 5/2*c**3 + v*c + 3/2*c**2. Find q, given that y(q) = 0.
-2, -1, 0
Factor -4*j**4 + 2*j**5 - 3*j**3 + 0*j**3 + 0*j**3 + 5*j**3.
2*j**3*(j - 1)**2
Solve -4*s + 32/5 + 2/5*s**2 = 0 for s.
2, 8
Let v(i) be the first derivative of i**4/20 + 7*i**3/15 + 2*i**2/5 - 12*i/5 + 15. Factor v(a).
(a - 1)*(a + 2)*(a + 6)/5
Factor 7*m + 8*m - 900 + 35*m + 10*m - m**2.
-(m - 30)**2
Let 8*v**3 - 665*v**4 + 15*v**3 + 667*v**4 + 27*v**3 + 112*v - 12*v**2 - 152*v**2 = 0. What is v?
-28, 0, 1, 2
Factor 8/3*k**2 + 0 - 2/3*k**4 - 2*k**3 + 0*k.
-2*k**2*(k - 1)*(k + 4)/3
Let a(j) = j**2 + 32*j + 256. Let b be a(-18). Suppose 2/5*o**5 - 1/5 + 2/5*o**3 + o**b - 4/5*o - 4/5*o**2 = 0. Calculate o.
-1, -1/2, 1
Let t(o) be the third derivative of 0*o - 7*o**2 - 4 + 10/27*o**3 - 2/27*o**4 - 1/135*o**5. Suppose t(h) = 0. What is h?
-5, 1
Let i be 3/21 - (-326)/(-518). Let g = i + 1793/111. Suppose 3*n**5 + 82/3*n**3 + 8/3*n + 0 - g*n**4 - 52/3*n**2 = 0. Calculate n.
0, 2/9, 1, 2
Let r(p) be the second derivative of -p**4/4 - 8*p**3 - 96*p**2 - 46*p. Solve r(d) = 0 for d.
-8
Let d be (-640)/(-300) + 8/(-60). Let 2/7*k - 2/7*k**d + 4/7 = 0. Calculate k.
-1, 2
Find k such that -63/4*k + 17/4*k**2 - 1/4*k**3 - 81/4 = 0.
-1, 9
Suppose -7*z = -0 - 7. Let c be 49/35 + (0 - z). Determine u, given that -c*u**3 + 2/5*u + 0 + 0*u**2 = 0.
-1, 0, 1
Let x = 2/17 + 4/255. Let w(z) be the third derivative of 5/12*z**4 + 1/60*z**6 + 4*z**2 + 0*z + 0 + 2/3*z**3 + x*z**5. Suppose w(h) = 0. What is h?
-2, -1
Let s be 18/7*224/64. Let f(k) be the first derivative of 3/5*k**5 - s + 0*k + k**3 + 3/2*k**4 + 0*k**2. Determine w, given that f(w) = 0.
-1, 0
Let c be 16668/672 - 24 - 3/7. Factor 1/2*b**2 - 13/8*b + c.
(b - 3)*(4*b - 1)/8
Factor 21/2*v**2 + 9/2 + 93/4*v.
3*(v + 2)*(14*v + 3)/4
Let v(j) be the second derivative of j**4/84 + 2*j**3 + 83*j**2/14 + 654*j. Factor v(r).
(r + 1)*(r + 83)/7
Suppose -3*h = 529 - 529. Suppose -2*z + 2 = -2. Factor 4/7*n**3 + 2/7*n**z + h - 2/7*n.
2*n*(n + 1)*(2*n - 1)/7
Let k(y) = -12*y + 62. Let z be k(5). Let q(a) be the first derivative of -2/15*a**3 - 6 - 4/5*a + 3/5*a**z. Factor q(w).
-2*(w - 2)*(w - 1)/5
Let t(o) be the first derivative of o**3/9 - 13*o**2/3 + 25*o/3 - 169. Factor t(p).
(p - 25)*(p - 1)/3
Let n = -5049 + 5059. Let -7/3*x + n*x**4 - 8/3*x**2 + 22/3*x**3 + 2/3 + 3*x**5 = 0. Calculate x.
-2, -1, 1/3
Let v = 25532/127685 + 1/25537. Factor -1/5*h - v*h**2 + 0.
-h*(h + 1)/5
Let -59/5*a**2 - 17/5*a**4 + 1/5*a**5 - 4*a + 0 - 57/5*a**3 = 0. Calculate a.
-1, 0, 20
Let v(y) be the second derivative of -y**4/6 + 7*y**3/3 + 18*y**2 + 77*y. Suppose v(c) = 0. Calculate c.
-2, 9
Factor 12*a**2 - 25*a**2 - 75 - 30*a + 10*a**2.
-3*(a + 5)**2
Let z(i) = 2*i**4 + i**3 - i. Let v(t) = -13*t**4 - 91*t**3 + 1924*t**2 - 6713*t + 6400. Let d(a) = 4*v(a) + 28*z(a). Find r, given that d(r) = 0.
2, 40
Let q(n) be the second derivative of n**4/54 - 29*n**3/9 - 88*n**2/9 - 186*n. Suppose q(r) = 0. What is r?
-1, 88
Let n(s) be the second derivative of -7*s + 5/12*s**4 + 0*s**2 + 5/6*s**3 + 0. Determine x so that n(x) = 0.
-1, 0
Suppose 173*p - 2370*p**3 + 4080*p**2 - 2425*p + 294 + 257*p - 27*p**5 + 286*p**4 + 164*p**4 = 0. Calculate p.
1/3, 2, 7
Let q(a) be the third derivative of a**7/735 - 8*a**6/105 + 39*a**5/35 + 338*a**4/21 - 2197*a**3/3 - 22*a**2 - 12. Factor q(k).
2*(k - 13)**3*(k + 7)/7
Let u(z) be the first derivative of 4*z**3/3 - 126*z**2 + 248*z - 132. Factor u(c).
4*(c - 62)*(c - 1)
Factor -4/9*k**2 + 2/9*k**3 + 16/9 - 8/9*k.
2*(k - 2)**2*(k + 2)/9
Factor 186*c**3 + 3*c**4 + 114*c**3 + 882*c**2 + 862*c + 146 + 145 + 14*c.
3*(c + 1)**3*(c + 97)
Let u(c) be the first derivative of 0*c + 2/45*c**5 + 2/9*c**4 + 2/9*c**2 + 21 + 10/27*c**3. Factor u(h).
2*h*(h + 1)**2*(h + 2)/9
Suppose 7 = -4*m - 13, -5 = -2*u + m. Let f(v) be the second derivative of -1/18*v**4 + 0*v**3 - v + u*v**2 + 0. Find s, given that f(s) = 0.
0
Factor 8*w**2 + 24*w - 40*w**2 + 5*w**4 - 7*w**4 + 2*w**3 + 12*w**3.
-2*w*(w - 3)*(w - 2)**2
Let d(j) be the second derivative of -1/28*j**4 - 27/14*j**2 + 3/7*j**3 + j + 0. Solve d(y) = 0 for y.
3
Let s(j) = -6*j**2 + 7*j + 35. Let c be s(3). Suppose -5/4*u - 1/4*u**3 - 1/2 - u**c = 0. Calculate u.
-2, -1
Let t = 122 + -122. Suppose -12*f + 25 + 11 = t. Determine m, given that 0*m + 0 + 1/6*m**f - 1/6*m**2 = 0.
0, 1
Let u = -42759/74 + 1155/2. Let h = u + 206/407. Factor 0 - 4/11*d - h*d**2.
-2*d*(d + 2)/11
Suppose 26 = 39*d - 26*d. Let g(w) be the first derivative of 1 + 7/2*w**2 - 2*w - d*w**3 - 1/2*w**6 + 8/5*w**5 - w**4. Find i, given that g(i) = 0.
-1, 2/3, 1
Let x(c) be the third derivative of -c**7/42 - 11*c**6/24 - 7*c**5/2 - 40*c**4/3 - 80*c**3/3 - 160*c**2. What is l in x(l) = 0?
-4, -2, -1
Let r = 13 + -11. Suppose 4 + r = 3*z. Factor 2*p**3 - 3*p**3 + 0*p - 3*p**z + 5*p**2 - p.
-p*(p - 1)**2
Let p(l) = -l**4 - l**3 - l. Let f(k) = -5*k**4 - 6*k**3 + 7*k**2 - 8*k. Let j(n) = 3*f(n) - 12*p(n). Factor j(b).
-3*b*(b - 1)**2*(b + 4)
Let l(q) be the third derivative of -q**6/432 + q**5/72 - 5*q**4/144 + 13*q**3/3 - 40*q**2. Let w(f) be the first derivative of l(f). Factor w(r).
-5*(r - 1)**2/6
Factor -16/19*i - 2/19*i**2 - 24/19.
-2*(i + 2)*(i + 6)/19
Suppose 2*c - 6 = -v - 2, 0 = -3*v + 2*c - 28. Let l = -3 - v. Find q such that -6 - 6*q - 14*q**3 - 27*q**2 - q**l - q**4 - 15*q - 2*q**4 = 0.
-2, -1
Suppose 34*g - 3*g = -13*g. Factor 4/3*s**2 - 1/3*s**3 + g - 4/9*s - 5/9*s**4.
-s*(s - 1)*(s + 2)*(5*s - 2)/9
Let h(m) be the second derivative of m**9/17280 + m**8/10752 - m**7/10080 - 2*m**4/3 - 23*m. Let q(j) be the third derivative of h(j). Factor q(s).
s**2*(s + 1)*(7*s - 2)/8
Let t(h) be the second derivative of -h**6/240 - h**5/160 + 5*h**4/96 - h**3/16 - 3*h - 6. Solve t(n) = 0.
-3, 0, 1
Let f be ((-50)/90)/(55/(-22)). Factor 2/3*o - 2/3*o**2 + 2/9*o**3 - f.
2*(o - 1)**3/9
Factor -4366*a**2 - 28 + 24*a + 2184*a**2 + 2186*a**2.
4*(a - 1)*(a + 7)
What is v in 2*v**5 - 9*v**3 - 9*v**3 - 32*v + 32*v = 0?
-3, 0, 3
Let p = -27 + 29. Suppose 71 + 10*k - 5*k**p - 71 = 0. Calculate k.
0, 2
Let h be 4/(-10) + (-448)/(-70). Let m = 8 - h. Factor -4*r - 85 + 2*r**m - 2*r + 