rivative of 0 - 117*m**2 - 2/9*m**3 + 0*m + 1/270*m**5 + 1/108*m**4. Determine y, given that c(y) = 0.
-3, 2
Let b(o) be the first derivative of -4*o**3 - 20 - 3/8*o**4 + 0*o + 0*o**2. Factor b(j).
-3*j**2*(j + 8)/2
Let c(v) be the third derivative of v**5/12 - 265*v**4/12 + 515*v**3/2 + 1848*v**2. Factor c(z).
5*(z - 103)*(z - 3)
Let b(k) be the second derivative of 14*k**6/75 + 97*k**5/25 + 161*k**4/15 + 118*k**3/15 - 24*k**2/5 + k + 452. Find g such that b(g) = 0.
-12, -1, 1/7
Let n = 843 + -844. Let k(u) = 26*u + 26. Let x be k(n). Solve -1/2*f**3 + 1/2*f - 1/4*f**4 + x*f**2 + 1/4 = 0 for f.
-1, 1
Let h(g) = -2289*g - 244920. Let u be h(-107). Factor 9/5*m**2 - 1/5*m**5 + 0 + 7/5*m**4 + 0*m - u*m**3.
-m**2*(m - 3)**2*(m - 1)/5
Suppose 10*q + 21 = 211. Let z(b) = 12*b - 217. Let t be z(q). Suppose 0 + 121/4*x**4 + 0*x + x**2 - t*x**3 = 0. What is x?
0, 2/11
Let i = 9/16127 + 2719523/10643820. Let g = i + -1/165. Solve 1/2*p**3 + 1/4*p**4 - g - 1/2*p + 0*p**2 = 0.
-1, 1
Let w(j) = 40*j**4 + 38*j**3 - 136*j**2 - 170*j. Let v(x) = -13*x**4 + x**3 - 2*x. Let d(t) = 3*v(t) + w(t). Solve d(y) = 0 for y.
-44, -1, 0, 4
Let f be (0 - 1/1)/(1/(-9)). Suppose 10*q = f*q + 5. Determine o so that -10*o**4 + 11*o**5 - 15*o**3 + 3*o**q - 9*o**5 = 0.
-1, 0, 3
Let c be ((-50)/4)/(2 + 25/(-10)). Suppose 102*f = 107*f - c. Factor 12*y**4 - 3*y**5 + 5*y**5 + 8*y**3 + 4*y**5 - 2*y**f.
4*y**3*(y + 1)*(y + 2)
Let b(c) be the first derivative of 5*c**6/6 - 48*c**5 + 265*c**4 + 710*c**3/3 - 2745*c**2/2 - 2150*c - 3783. Find m, given that b(m) = 0.
-1, 2, 5, 43
Let f(p) be the third derivative of -p**6/720 - 151*p**5/60 - 22801*p**4/12 - 6885902*p**3/9 - 1780*p**2. Determine c, given that f(c) = 0.
-302
Let g be 6/5*(392/(-12) + -4). Let k be (g/10 + 4)*-5. Let 33 + 41 + 12*s**3 - 12*s - 82 + 8*s**k = 0. Calculate s.
-1, -2/3, 1
Let h = 610 - 565. Factor -h*n + 216 + 12 - 90*n - 89*n - 4*n**2.
-4*(n - 1)*(n + 57)
Let q be 62*-14*(-52)/91. Let c = q + -493. Let 39/2*d - 39/2*d**c + 3/2*d**2 + 9/2 - 6*d**4 = 0. Calculate d.
-3, -1, -1/4, 1
Suppose 2*t + 2 = -7246*i + 7243*i, -5*i = -3*t + 16. Let -2/9*k**4 + 0 + t*k - 2/3*k**2 - 10/9*k**3 = 0. Calculate k.
-3, 0, 1
Suppose -2*b = -10, 0 = 4*x - b + 94 + 127. Let w = -52 - x. Solve -24*l**w + 51*l**4 - 24*l**4 - 9 + 57 - 72*l**3 + 96*l = 0.
-2/3, 2
Let i(y) be the third derivative of y**6/60 - 11*y**5/10 + 31*y**4/6 + 295*y**2 + 1. Factor i(c).
2*c*(c - 31)*(c - 2)
Let q be 1/12 + (-59)/(-12). Suppose 14*w**2 + 2 - 14 + 1 - q - 52*w = 0. Calculate w.
-2/7, 4
Find g such that -370*g**2 + 70*g - 426*g**2 + 48*g**2 + 24 + 600*g**3 + 6*g + 48*g**2 = 0.
-2/15, 3/10, 1
Let v be 79*(-6)/54 + 9. Let j(u) be the second derivative of -1/54*u**4 + 12*u + 1/27*u**3 + v*u**2 + 0. Let j(a) = 0. Calculate a.
-1, 2
Determine b, given that -211 - 60*b**3 + 16*b**3 - 1108*b**2 + 2212*b - 6108*b - 688 + 227 = 0.
-21, -4, -2/11
Let b(w) be the third derivative of w**6/40 - 649*w**5/20 + 104975*w**4/8 + 105625*w**3/2 - 19*w**2. Let b(u) = 0. Calculate u.
-1, 325
Let d = -667 + 656. Let v be -1 + d/((-495)/(-156)) - -5. Factor -2/15 + 2/5*y + v*y**2.
2*(y + 1)*(4*y - 1)/15
Let u(r) = -5*r**2 - 1679*r + 3722. Let p be u(-338). Find l, given that -12/5*l**3 + 16/5*l**2 + 0*l**p - 6/5*l + 2/5*l**5 + 0 = 0.
-3, 0, 1
Let d(h) = 2 + 5*h**2 - 1 - 25*h + 16 + 8 + 9. Let i(v) = 4*v**2 - 17*v + 23. Let g(m) = -5*d(m) + 7*i(m). Factor g(n).
3*(n - 1)*(n + 3)
Suppose 111 = -4*t + 123. Suppose -399*k**2 - 201*k - 84*k**t - 21*k**3 - 90*k**3 + 3*k**4 = 0. What is k?
-1, 0, 67
Let g be 9/(-21) - (-440)/14. Let l = g + -28. Let 6*v + 3*v - l*v - v**2 - 7*v = 0. Calculate v.
-1, 0
Let k(y) be the first derivative of -6*y**3 + 0*y - 11/2*y**4 - 121/60*y**5 - 26 + 27/2*y**2. Let u(q) be the second derivative of k(q). Factor u(v).
-(11*v + 6)**2
Let q = -796661 - -796663. Find h such that -3/7*h**4 + 30/7*h**3 + 0 + 0*h - 3/7*h**5 - 24/7*h**q = 0.
-4, 0, 1, 2
Let i(x) = -x**4 - 16*x**3 + 35*x**2. Let n(a) = 5*a**2 - 76*a**3 - 4*a**2 - a**4 + 76*a**3. Let h(j) = -2*i(j) + 6*n(j). Let h(k) = 0. Calculate k.
0, 4
Let k = 6884 - 6880. Let q(u) be the first derivative of 0*u - 36/5*u**5 + 6 + 2*u**k + 14/3*u**6 + 0*u**2 + 0*u**3. Factor q(m).
4*m**3*(m - 1)*(7*m - 2)
Let d(m) = -4*m**2 - 40*m + 99. Let f be d(-12). Let x(o) = -o**3 + 2*o**2 - 7*o + 33. Let h be x(f). Determine p, given that 0 - 12*p**2 + h*p + 21/4*p**3 = 0.
0, 2/7, 2
Factor 303/2*a - 11/4 - 55/4*a**2.
-(a - 11)*(55*a - 1)/4
Let i(o) be the second derivative of 37/3*o**4 - o + 86/9*o**3 + 4/3*o**2 + 13. Factor i(d).
4*(3*d + 1)*(37*d + 2)/3
Let n(l) be the first derivative of -3*l**5/5 + 17*l**3 + 54*l**2 + 60*l + 5772. Solve n(u) = 0 for u.
-2, -1, 5
Let k(g) be the second derivative of -g**5/12 - 5*g**4/12 + 5*g**3/2 + 16*g**2 - 41*g. Let h(b) be the first derivative of k(b). Factor h(c).
-5*(c - 1)*(c + 3)
Let p(w) = w**2 - 6*w - 7. Let t(j) = 4*j**2 - 30*j - 34. Let q be (15/3 + -5)/(-1). Suppose q*a - 11 = -a. Let o(g) = a*p(g) - 2*t(g). Factor o(c).
3*(c - 3)*(c + 1)
Factor -214/3*o - 176/3 - 2/3*o**3 - 40/3*o**2.
-2*(o + 1)*(o + 8)*(o + 11)/3
Find k, given that -383/7*k - 382/7 - 1/7*k**2 = 0.
-382, -1
Factor -2/11*j**4 + 112/11*j**3 + 116/11*j + 230/11*j**2 + 0.
-2*j*(j - 58)*(j + 1)**2/11
Let r be 130/8 + (-150)/120. Let w be r/(-9)*(-24)/20. Factor -3 - 9/4*f**w - 9/2*f - 3/8*f**3.
-3*(f + 2)**3/8
Let s(n) be the third derivative of n**5/12 - 5*n**4/12 - 20*n**3 - 270*n**2 + 1. Determine c so that s(c) = 0.
-4, 6
Let p(l) be the first derivative of 0*l + 1/6*l**3 - 21*l**2 - 1/360*l**6 + 1/180*l**5 - 6 + 5/72*l**4. Let z(q) be the second derivative of p(q). Factor z(u).
-(u - 3)*(u + 1)**2/3
Let o = 3/119 - -65/119. Let r = 19323/8 + -135133/56. Suppose -o*b**2 + 20/7 - r*b = 0. Calculate b.
-5, 1
Let y(a) = a**2 + 17*a + 37. Let s be y(-4). Let v(m) = -35*m**3 - 750*m**2 + 15. Let k(x) = -9*x**3 - 188*x**2 + 4. Let i(w) = s*k(w) + 4*v(w). Factor i(n).
-5*n**2*(n + 36)
Let p(k) be the second derivative of -5*k**4/6 - 11*k**3/3 - 2*k**2 - 56*k - 3. What is z in p(z) = 0?
-2, -1/5
Let u(k) be the third derivative of 25*k**7/42 - 55*k**6/24 - 14*k**5/3 - 5*k**4/2 + 3*k**2 - 172*k. What is x in u(x) = 0?
-2/5, 0, 3
Let j = -1235 - -3713/3. Let v be (10 - 2) + (-7)/(49/28). Factor -v*b + 4*b**3 - j + 4/3*b**4 + 4/3*b**2.
4*(b - 1)*(b + 1)**2*(b + 2)/3
Let j(h) be the second derivative of -h**6/70 - 11*h**5/70 - 5*h**4/21 + 4*h**3/7 - 2*h + 872. Let j(y) = 0. Calculate y.
-6, -2, 0, 2/3
Let q(c) = 2*c**2 - 6*c - 4. Let y(x) = -4*x**2 + 13*x + 9. Let t(j) = 15 - 28*j**2 - j + 27*j**2 + 3*j. Let d be t(6). Let u(o) = d*q(o) - 4*y(o). Factor u(h).
-2*h*(h - 1)
Let d(l) be the third derivative of -l**6/120 + 41*l**5/30 - 426*l**2. Find o, given that d(o) = 0.
0, 82
Let u be 10/(-85) + 51057/51. Factor 17*q**2 + 10*q - u*q**3 + 1006*q**3 - 2*q**2.
5*q*(q + 1)*(q + 2)
Let g(k) be the first derivative of k**6/2700 + 28*k**5/225 + 784*k**4/45 + 5*k**3/3 - 14*k + 130. Let a(t) be the third derivative of g(t). Solve a(f) = 0.
-56
Let 48/11*c**2 + 96/11*c**3 - 6/11*c**5 - 2*c**4 - 96/11 - 160/11*c = 0. Calculate c.
-6, -1, -2/3, 2
Let p(f) be the third derivative of -4/9*f**3 - 54*f**2 - 2*f + 1/90*f**5 + 0 + 1/12*f**4. Suppose p(n) = 0. What is n?
-4, 1
Suppose 18*x - 28 = 4*x. Let m = 2 + x. Factor 0*t**4 + 13*t**5 + 5*t**5 + 14*t**3 - 2*t**2 - 30*t**m.
2*t**2*(t - 1)*(3*t - 1)**2
Let o be (-10 - -6)*1 + 10. Let -o*t**2 + 2*t - 30581 - 2*t + 30584 + 3*t**4 = 0. What is t?
-1, 1
Solve -266/3*u + 1/3*u**2 + 0 = 0.
0, 266
Let w(r) be the second derivative of -r**4/78 - 5*r**3/39 - 6*r**2/13 - r + 691. Factor w(g).
-2*(g + 2)*(g + 3)/13
Factor 1/2*m**2 + 13/6*m + 7/3.
(m + 2)*(3*m + 7)/6
Let s = 8 + -4. Let w be (2 + 4)/((-15)/(-4)*(-112)/(-140)). Determine z, given that -3 + 21/4*z**3 - 6*z + 15/4*z**s + 3/4*z**5 - 3/4*z**w = 0.
-2, -1, 1
Let d(w) be the first derivative of w**5/15 + 5*w**4/6 + 28*w**3/9 + 4*w**2 - 7232. What is t in d(t) = 0?
-6, -2, 0
Let l(k) be the first derivative of k**8/2100 - k**7/2100 - k**6/900 + 112*k**3/3 + 95. Let z(r) be the third derivative of l(r). Factor z(f).
2*f**2*(f - 1)*(2*f + 1)/5
Let i(p) be the first derivative of p**4/20 - 2*p**3/5 - p**2/10 + 6*p - 1657. Supp