3 + 0*h**5 + 0*h**2 + 0*h + 1/360*h**6 + 6 - 1/24*h**4. Let l(q) be the third derivative of a(q). Factor l(d).
(d - 1)*(d + 1)
Let g(l) be the third derivative of -l**5/15 - 4*l**4/3 + 6*l**3 + 59*l**2 + 3. Let g(j) = 0. Calculate j.
-9, 1
Factor -12*k + 3*k**5 - 57*k**3 - 84*k**2 + 0*k**4 + 2*k - 3*k**4 - 26*k - 3*k**4.
3*k*(k - 6)*(k + 1)**2*(k + 2)
Let u = -2617 + 2617. Let j(f) be the first derivative of 1/2*f**2 + u*f + 13 - 1/4*f**4 + 0*f**3. Determine q so that j(q) = 0.
-1, 0, 1
Let t be ((-5)/(-7))/((-13)/(-546)*14). Factor -3/7*p**2 - t*p - 12/7.
-3*(p + 1)*(p + 4)/7
Let p(m) = -3*m**2 - 83*m + 51. Let s be p(-28). Suppose 0 = -9*o - s + 50. Find q such that 2/7*q**2 + 6/7*q**4 + 0 + 2/7*q**5 + 0*q + 6/7*q**o = 0.
-1, 0
Let j(g) = -450*g - 10. Let t be j(2). Let k be 14/12*(-104)/t. Factor 2/15*b**5 - k*b**4 + 0 + 0*b**2 - 4/15*b**3 + 0*b.
2*b**3*(b - 2)*(b + 1)/15
Let t(c) be the first derivative of 49*c**6/900 + 7*c**5/150 + c**4/60 + 16*c**3/3 - 28. Let z(l) be the third derivative of t(l). Factor z(a).
2*(7*a + 1)**2/5
Find q such that 45/4*q + 2025/8*q**2 + 1/8 = 0.
-1/45
Let a(u) be the first derivative of u**4/12 - 14*u**3/9 + 25*u**2/6 - 4*u - 399. Solve a(f) = 0 for f.
1, 12
Let h(y) be the first derivative of y**4 - 272*y**3 + 20394*y**2 + 84872*y - 112. Factor h(b).
4*(b - 103)**2*(b + 2)
Factor 5895*r - 2509 + 61 + 27*r**3 + 620 + 804*r**2 + 478.
3*(r + 15)**2*(9*r - 2)
Let v(q) be the second derivative of q**5/10 + 4*q**4 - 25*q**3/3 - 14*q + 4. Factor v(n).
2*n*(n - 1)*(n + 25)
Let f(p) be the second derivative of p**6/150 - p**4/10 - 4*p**3/15 - 3*p**2/10 - 5*p + 11. Factor f(h).
(h - 3)*(h + 1)**3/5
Suppose -12 = h - 5*h. Let z(m) be the third derivative of 0*m - 5/48*m**4 + 0 + 1/6*m**h + 1/40*m**5 - 3*m**2 + 1/240*m**6 - 1/420*m**7. Solve z(s) = 0 for s.
-2, 1
Let u(j) be the third derivative of -j**6/120 + j**5/10 + j**4/4 + 3*j**3/2 - 2*j**2. Let d be u(7). Factor -1/3*p**3 + 0*p**4 + 1/3*p**5 + 0*p**d + 0 + 0*p.
p**3*(p - 1)*(p + 1)/3
Suppose 0 = 9*s - 4*s - 10. Let c be 4/((-4)/(-5)) - 1. Find w such that -3*w + w**2 - c + w**s + w = 0.
-1, 2
Suppose 0 = -2*v - w - w + 156, 2*v = -w + 155. Let s = -6 + v. Factor -37*t - 8*t**2 - 32*t + s*t.
-2*t*(4*t - 1)
Let q(m) be the first derivative of m**6/6 - m**5 - 7*m**4/2 - 2*m**3/3 + 13*m**2/2 + 7*m - 134. Factor q(x).
(x - 7)*(x - 1)*(x + 1)**3
Factor 8/7*z**2 - 6/7 - 2/7*z.
2*(z - 1)*(4*z + 3)/7
Let a(c) be the third derivative of -c**6/3060 - c**5/170 - 3*c**4/68 - 5*c**3/6 + 5*c**2. Let i(k) be the first derivative of a(k). Solve i(g) = 0.
-3
Let l(f) = f**4 + f**2 + f + 1. Let q be ((-2)/(-5))/((-20)/(-100)). Let a(y) = -8*y**4 + 2*y**3 - 10*y**2 - 11*y - 9. Let n(p) = q*a(p) + 18*l(p). Factor n(x).
2*x*(x - 1)*(x + 1)*(x + 2)
Let t = -8698/21 + 2904/7. Let 0*g + t*g**3 + 0 + 2/3*g**2 = 0. Calculate g.
-1, 0
Suppose 4*w - 3 = -3*c, -2 = -2*w - w - 2*c. Suppose -5*y + b + 28 = 0, -21 = -w*y - 3*y + 2*b. Factor 9*d**2 + 11*d**2 - y - 15*d**2.
5*(d - 1)*(d + 1)
Suppose 16*s = 15*s - 56. Let p be (-5)/20 - 30/s. Factor -p*r - 2/7*r**2 + 2/7 + 2/7*r**3.
2*(r - 1)**2*(r + 1)/7
Suppose -2*w + 4*w = -z + 2, -4*w = 3*z. Let g(f) = -6*f**2 + 6*f + 9*f**3 - 3*f**w + 2*f. Let y(l) = l**3 + l. Let r(i) = g(i) - 4*y(i). Factor r(h).
2*h*(h - 2)*(h - 1)
Let k be 6*(-6 + (-130)/(-15)). Let d be k/6*(-21)/(-28). Find g, given that -2*g + 6 - 11/6*g**d + 1/6*g**4 + 1/3*g**3 = 0.
-3, 2
Let h(z) be the second derivative of -z**6/70 - 9*z**5/140 + 9*z**4/28 - 5*z**3/14 + 19*z + 1. Factor h(l).
-3*l*(l - 1)**2*(l + 5)/7
Let v(u) = -u**2 - 32*u - 245. Let y be v(-19). Factor 1/2*l + 1/4 + 1/4*l**y.
(l + 1)**2/4
Suppose -18 = -122*z + 116*z. Let t(a) be the first derivative of 4 - 2/25*a**5 + 0*a**2 + 0*a - 2/15*a**z + 1/5*a**4. Factor t(m).
-2*m**2*(m - 1)**2/5
Suppose -8*m**4 + 6*m**3 - 14 + 50 + 5*m**4 + 21*m**2 - 60*m = 0. What is m?
-3, 1, 2
Suppose 4*o = 2*o + 14. Factor 2*j + o*j**2 + 4*j**2 - 9*j**2 - 6*j.
2*j*(j - 2)
Let i be (-79 - -7)/9 + 12. Solve 1/4*y**3 + 0 + 0*y + 1/4*y**5 + 0*y**2 - 1/2*y**i = 0.
0, 1
Let n(h) = 2*h**3 + 52*h**2 + 2. Let f(y) = 4*y**3 + 49*y**2 + 3. Let l(s) = -2*f(s) + 3*n(s). Factor l(x).
-2*x**2*(x - 29)
Let u(p) be the third derivative of -p**7/945 - p**6/135 - p**5/90 + 8*p**2 + 5. What is h in u(h) = 0?
-3, -1, 0
Let q = 22 + -19. Let w(y) be the second derivative of 0 + 4*y - 3/10*y**5 - 1/30*y**6 - 13/12*y**4 - 2*y**q - 2*y**2. Determine h, given that w(h) = 0.
-2, -1
Factor -27/2*q + 3/2*q**3 - 81/8 - 9/4*q**2 + 3/8*q**4.
3*(q - 3)*(q + 1)*(q + 3)**2/8
Factor -18/17*v + 2/17*v**3 + 0 - 16/17*v**2.
2*v*(v - 9)*(v + 1)/17
Let s be (-21)/14*4/(-6). Factor 7*b - b**2 - 4*b - s - b.
-(b - 1)**2
Let o(s) = 5*s**2 + 18*s + 13. Let w(u) = -u**3 - 3*u**2 + 5*u + 2. Let l be w(-4). Let q(t) = -85*t**2 - 305*t - 220. Let m(p) = l*q(p) - 35*o(p). Factor m(y).
-5*(y + 1)*(y + 3)
Let u(b) = -b**2 + 5*b - 2. Let v be u(4). Suppose r - 13 = d, 0 = v*r + 3*d - 1. Factor z**3 - 4*z**2 - r*z**3 + 2*z**2 + z**3.
-2*z**2*(3*z + 1)
Suppose -r + q + 6 = 4, 0 = -2*q. Suppose -r*h + 3*h = 3. Factor h + 0*k**2 + 4*k + 3*k**2 + 0 + 2*k.
3*(k + 1)**2
Let s(n) = -n**2 + 48*n - 12. Let w(a) = a**2 - 34*a + 8. Let b(x) = 5*s(x) + 7*w(x). Determine y so that b(y) = 0.
-2, 1
Factor 3*z**2 - 898 - z + 6*z + 802 + 9*z - 2*z.
3*(z - 4)*(z + 8)
Let r(u) be the third derivative of u**7/105 - u**6/60 - u**5/30 + u**4/12 + 2*u**2. Factor r(v).
2*v*(v - 1)**2*(v + 1)
Find s, given that -68*s - 4/3*s**2 - 392/3 = 0.
-49, -2
Suppose 4*r - 304 = -2*v - 286, -5*r = -v - 19. Let d(o) be the third derivative of -3*o**3 + 0*o - 14*o**2 - 1/30*o**5 + 1/2*o**r + 0. Factor d(w).
-2*(w - 3)**2
Let j(t) be the first derivative of 4/3*t - 1/9*t**3 - 46 + 1/2*t**2. What is h in j(h) = 0?
-1, 4
Let o(i) = -i**2 + 16*i - 54. Let z be o(6). Let x(d) be the first derivative of 0*d**5 + 4/3*d**3 - 3*d**z - 28*d**2 - 7 - 16*d + 43/2*d**4. Solve x(v) = 0.
-2, -2/3, -1/3, 1, 2
Let y(b) be the first derivative of -3*b**5/10 + b**4/16 + 17*b**3/12 + 5*b**2/4 - 786. Suppose y(z) = 0. Calculate z.
-1, -5/6, 0, 2
Let f(o) = o**2 - 42*o - 853. Let m be f(-15). Find x, given that 0 + 2/9*x**m + 14/9*x = 0.
-7, 0
Let o = 74357/3 - 24785. Find c, given that -2/3*c**4 + 1/3*c**5 + 1/3*c + 4/3*c**2 - 2/3*c**3 - o = 0.
-1, 1, 2
Let z be -4 - -1 - 21 - 2/1. Let h be z/(-16) - -1*(-4)/32. What is a in 0 + a - h*a**4 - 1/2*a**3 - 1/2*a**5 + 3/2*a**2 = 0?
-2, -1, 0, 1
Suppose 5*i + 4*i**2 - 8*i**2 + 0*i**2 + 5*i**4 - 5*i**3 - 4*i**2 + 3*i**2 = 0. Calculate i.
-1, 0, 1
Let d = -5045 - -55497/11. Solve -4/11*f**3 + 8/11*f + 8/11 - 6/11*f**2 + d*f**4 = 0.
-1, 2
Let l be 0 + 20 + (-1443)/74. Determine r so that l*r**2 + 11/2 + 6*r = 0.
-11, -1
Let y(t) = 4*t**4 + 18*t**3 + 20*t**2 - 2*t - 8. Let b(u) = 13*u**4 + 54*u**3 + 58*u**2 - 5*u - 22. Let g(s) = -4*b(s) + 11*y(s). Factor g(q).
-2*q*(q + 1)**2*(4*q + 1)
Factor 9/7*f**2 - 3/7*f**4 + 6/7 - 3/7*f**3 + 15/7*f.
-3*(f - 2)*(f + 1)**3/7
Let q(v) be the third derivative of v**6/420 - 19*v**5/210 - 5*v**4/21 - 2*v**2 - 9. Solve q(r) = 0.
-1, 0, 20
Let c(m) = 7*m**4 - 208*m**3 - 25*m**2 + 14. Let u(f) = 3*f**4 - 103*f**3 - 12*f**2 + 8. Let i(y) = 4*c(y) - 7*u(y). Determine h, given that i(h) = 0.
-1/7, 0, 16
Let k(z) be the second derivative of z**6/480 - z**5/80 + z**4/48 - 9*z**2/2 + 21*z. Let x(u) be the first derivative of k(u). Find a such that x(a) = 0.
0, 1, 2
Solve -366*z**3 + 671*z**4 - 24*z - 254*z**2 + 147*z**5 - 734*z**4 + 74*z**2 = 0 for z.
-1, -2/7, 0, 2
Let u = 12211 + -36593/3. Let -u*h + 2/3*h**2 + 200/3 = 0. Calculate h.
10
Let d(l) be the first derivative of l**7/42 + l**6/30 - 10*l - 12. Let c(g) be the first derivative of d(g). Factor c(n).
n**4*(n + 1)
Factor 40/9*n - 8/9 - 50/9*n**2.
-2*(5*n - 2)**2/9
Let l = 40409/46200 + 2/5775. Factor -l*b**2 + 3/4 - 19/8*b.
-(b + 3)*(7*b - 2)/8
Let n(p) = -11*p + 77. Let m be n(7). Let c(j) be the first derivative of -1/9*j**6 + m*j + 8/15*j**5 + 8/9*j**3 - 1/3*j**2 - j**4 + 13. What is r in c(r) = 0?
0, 1
Let k(q) be the first derivative of 0*q**2 - 20 + 4*q**5 + 5/3*q**3 + 5/4*q**6 + 35/8*q**4 + 0*q. Factor k(a).
5*a**2*(a + 1)**2*(3*a + 2)/2
Let w(b) = 7 + 90*b + 0 - 91*b. Let j be w(4). Find x such that 4/5*x**