 derivative of c**6/90 + c**5/2 + 13*c**4/3 + 4*c**3/3 + 3*c**2 + 185*c. Let h(b) be the second derivative of m(b). Solve h(z) = 0.
-13, -2
Let z(p) be the first derivative of 14*p**5/75 - 37*p**4/2 + 21974*p**3/45 - 21931*p**2/5 + 35828*p/15 - 2279. Suppose z(i) = 0. Calculate i.
2/7, 13, 53
Let v(h) = -6*h**2 + 17*h - 55. Let u be v(7). Let o be (0 - (-4)/5)/((-23)/u). Factor -65*g**4 - o*g**2 + 20*g**3 + 7*g**3 + 49*g**4 + g**3 - 4*g.
-4*g*(g - 1)**2*(4*g + 1)
Determine v so that -1759*v**3 - 37*v + 36*v**2 + 0*v**4 + 16 - 19*v + 1773*v**3 - 10*v**4 = 0.
-2, 2/5, 1, 2
Suppose 16*h - 570 + 570 = 0. Let f(v) be the second derivative of 0*v**3 + h + 5*v + 5/4*v**4 + 0*v**2 - 1/4*v**5. Factor f(k).
-5*k**2*(k - 3)
Let r = -473 - -507. Suppose r*p = 46 + 56. Find w such that -4/5*w**p + 8/5 - 8/5*w**2 + 4/5*w = 0.
-2, -1, 1
Let p = 4689/4109 - -1/587. Factor 2/7*n**5 + 8/7*n**4 + 0*n + p*n**3 + 0 + 0*n**2.
2*n**3*(n + 2)**2/7
Let z(h) be the first derivative of -13*h**6/6 - 27*h**5/5 - h**4/2 + 26*h**3/3 + 15*h**2/2 + h - 8287. Factor z(y).
-(y - 1)*(y + 1)**3*(13*y + 1)
Let a(h) = -371*h + 181. Let i be a(2). Let s be 7327/i + 12 + (-4)/(-3). Let 2/11 + 1/11*p**2 - s*p = 0. What is p?
1, 2
Let j(b) be the third derivative of -b**6/180 - b**5/10 - 23*b**4/36 - 5*b**3/3 + 582*b**2. Factor j(o).
-2*(o + 1)*(o + 3)*(o + 5)/3
Let x(u) be the first derivative of -2*u**3/3 - 790*u**2 - 1578*u - 2691. Factor x(o).
-2*(o + 1)*(o + 789)
Let m be (((-1305)/(-10))/(-29))/(3*4/(-24)). Find o, given that 30*o**3 + 27*o + 33/5 + 3/5*o**5 + 42*o**2 + m*o**4 = 0.
-11, -1
Factor 0 - 1/4*t**3 - 55*t - 8*t**2.
-t*(t + 10)*(t + 22)/4
Determine q, given that -81209*q + 28*q**3 - 77541*q - 29*q**3 - 131769 - 37698*q + 65405*q + 725*q**2 = 0.
-1, 363
Let a = -10330 + 10336. Solve -a*j + 8/5 + 36/5*j**2 - 14/5*j**3 = 0.
4/7, 1
Let u(r) be the first derivative of -44 + 360*r**3 - 14580*r + 65/4*r**4 + 1/4*r**5 + 2430*r**2. Find a, given that u(a) = 0.
-18, 2
Let t(u) be the first derivative of u**6/6 + u**5/2 - 5*u**4 - 100*u**3/3 - 80*u**2 + 2*u + 78. Let h(k) be the first derivative of t(k). Factor h(y).
5*(y - 4)*(y + 2)**3
Let m(n) be the second derivative of n**8/2520 - 7*n**3/6 + 3*n**2/2 - 14*n. Let h(i) be the second derivative of m(i). Factor h(s).
2*s**4/3
Let d = 247 - 38. Suppose -4*v - 184*v**3 + d*v**3 + 3*v - 4*v + 20*v**2 = 0. What is v?
-1, 0, 1/5
Factor 88/5*w**2 + 131/5*w + 58/5 + 3*w**3.
(w + 1)**2*(15*w + 58)/5
Factor 2/19*n**3 + 0*n - 2*n**2 + 0.
2*n**2*(n - 19)/19
Let g(b) = -4*b**4 - 54*b**3 + 231*b**2 + 14*b - 7. Let l(k) = -4*k**4 - 52*k**3 + 230*k**2 + 12*k - 6. Let c(o) = -6*g(o) + 7*l(o). Factor c(y).
-4*y**2*(y - 4)*(y + 14)
Let a(v) = -v**3 + 11*v**2 + 27*v + 6. Let q be 16/1 - (2 + 1). Let z be a(q). Solve -s**2 - z*s**2 - 2*s**3 - 2 + 11*s**3 + 13*s = 0.
2/9, 1
Let p(a) = 100*a**3 - 80*a**2 - 186*a - 12. Let o(d) = 5*d**3 + d**2 + d + 2. Let f(c) = 2*o(c) - p(c). Factor f(m).
-2*(m - 2)*(m + 1)*(45*m + 4)
Solve -1392/7*d - 2/7*d**4 + 1710/7 + 340/7*d**2 - 16/7*d**3 = 0 for d.
-19, 3, 5
Suppose -7*u + 2*u = 0. Let s be 35 + (-21373)/609 + (-583)/(-168). Factor -s*y**2 - 3/4*y + u.
-3*y*(9*y + 2)/8
Determine b, given that 0 - 10/9*b**5 - 328/9*b**2 - 94/9*b**4 - 208/9*b + 148/3*b**3 = 0.
-13, -2/5, 0, 2
Let a(i) be the second derivative of 3*i**5/80 + 43*i**4/16 + 1194*i. Find g such that a(g) = 0.
-43, 0
Let h(b) be the first derivative of -b**4/36 - b**3/2 - 225*b + 224. Let u(a) be the first derivative of h(a). Solve u(q) = 0 for q.
-9, 0
Solve -96*c**4 + 64*c**3 - 24*c**3 + 184*c**4 - 93*c**4 - 1470*c + 175*c**2 = 0 for c.
-6, 0, 7
Let 303*u**3 + 4*u**4 + 185*u**3 + 1355*u + 988*u**2 + 673*u + 165*u**3 - 537*u**3 = 0. Calculate u.
-13, -3, 0
Let a(w) be the first derivative of 28*w**2 - 40*w + 59 - 1/2*w**4 - 14/3*w**3. Determine o, given that a(o) = 0.
-10, 1, 2
Suppose 5*o - 42 = -3*t - t, -t = -4*o + 42. Suppose -o*s - 18 = -12*s. Factor 6*r**3 - s*r**4 + 24*r**4 + 14*r**3 - 20*r**2.
5*r**2*(r + 2)*(3*r - 2)
Let n(f) be the first derivative of -9/4*f**3 + 9*f + 21/16*f**4 - 15*f**2 + 42. Factor n(k).
3*(k - 3)*(k + 2)*(7*k - 2)/4
Suppose t - 4*t - 24 = 0. Let c be (-122)/t - (60/(-16) - -4). Factor -4 + 17*f + c*f + 8*f**2 - 36*f.
4*(f - 1)*(2*f + 1)
Let z = 199/15880 - 5/1191. Let f(d) be the third derivative of 1/2*d**3 + 0*d - z*d**5 + 0 - d**2 + 1/48*d**4. Solve f(c) = 0.
-2, 3
Suppose -9*r + 56 - 137 = 0. Let v be r/(-1) + 485/(-55). Solve 32/11*h - v*h**2 - 128/11 = 0 for h.
8
Let z(i) be the third derivative of -i**6/40 - 361*i**5/20 + 181*i**4/4 + 4*i**2 + 117. Find o, given that z(o) = 0.
-362, 0, 1
Let p(s) = 20*s + 7. Let f be p(2). Suppose f*k = 125 - 31. Factor -3/2 - 21/4*w - 6*w**k - 9/4*w**3.
-3*(w + 1)**2*(3*w + 2)/4
Let d(a) be the second derivative of a**6/75 - 18*a**5/25 - 13*a**4/10 + 74*a**3/15 - 9*a + 21. Factor d(o).
2*o*(o - 37)*(o - 1)*(o + 2)/5
Let j(g) be the first derivative of 0*g + 4/45*g**3 + 1/900*g**6 - 7/180*g**4 - 5 - 4*g**2 + 1/225*g**5. Let s(r) be the second derivative of j(r). Factor s(y).
2*(y - 1)**2*(y + 4)/15
Suppose 3 = 139*q - 138*q. Let 184*x**2 + 40*x + 97*x**3 + 95*x**q + 140*x**3 + 22*x**5 - 8*x + 14*x**5 + 216*x**4 = 0. What is x?
-4, -1, -2/3, -1/3, 0
Let j(p) be the third derivative of -1/270*p**5 - 2/9*p**4 + 6*p + 0 - 23/27*p**3 + 4*p**2. Let j(n) = 0. Calculate n.
-23, -1
Let u be (53 + 0)/((-2106)/192 - -11). Solve 21*k**3 + 1055*k - 288*k**2 + 830*k - u*k + 78 = 0.
-2/7, 1, 13
Let t(c) be the second derivative of 12*c**6/95 - 2856*c**5/95 - 1907*c**4/114 - 53*c**3/19 + 5439*c. Factor t(b).
2*b*(b - 159)*(6*b + 1)**2/19
Let z(p) be the second derivative of -p**7/10080 + p**6/2880 + p**5/24 - p**4/4 + 11*p**2/2 - p + 59. Let u(y) be the third derivative of z(y). Factor u(d).
-(d - 5)*(d + 4)/4
Let u(k) = -6*k + 7. Let y be u(1). Suppose -1 = -7*i - y. Factor -4*t**2 + 5*t + t + i*t - 2*t**3 + 0*t**3.
-2*t*(t - 1)*(t + 3)
Let k be 822/1781 - 236/624. Let r(q) be the first derivative of -1/15*q**5 + 2/9*q**3 + k*q**4 - 13 + 0*q + 0*q**2. Factor r(s).
-s**2*(s - 2)*(s + 1)/3
Let z(n) be the second derivative of 55*n**4/4 - 995*n**3/3 + 60*n**2 + 11*n - 7. Factor z(b).
5*(b - 12)*(33*b - 2)
Let m(l) = 22*l**3 - 34*l**2 + 234*l + 1282. Let a(o) = 45*o + 117*o**2 + 256 + 4*o**3 + 2*o + 115*o**2 - 239*o**2. Let q(t) = 16*a(t) - 3*m(t). Factor q(j).
-2*(j - 5)*(j + 5)**2
Suppose 24415*d + 60 = 24435*d. Let v(p) be the first derivative of -32 - 2/9*p + 1/9*p**4 - 2/9*p**2 + 0*p**d + 2/45*p**5. Find g such that v(g) = 0.
-1, 1
Let o = 1137 + -1028. Suppose -5*g + 91 = 3*f, 5*g = 6*f - 3*f + o. Factor -4/5*n**3 - 12*n - g + 36/5*n**2.
-4*(n - 5)**2*(n + 1)/5
Factor -12*d + 3/5*d**2 + 45.
3*(d - 15)*(d - 5)/5
Let x(u) be the first derivative of 8/11*u**2 + 2/33*u**3 + 5 + 24/11*u. Suppose x(h) = 0. Calculate h.
-6, -2
Let z(d) be the first derivative of 2*d**3/15 + 37*d**2/5 - 156*d/5 + 1067. What is h in z(h) = 0?
-39, 2
Let t(s) = s**2 - 18*s + 3. Let v(h) = -8*h - 2. Let d(i) = 2*t(i) - 6*v(i). Let d(p) = 0. Calculate p.
-3
Let f = 15107/21 - 15089/21. What is m in -3/7*m**4 + 36/7*m**2 + f*m**3 + 15/7 + 6*m = 0?
-1, 5
Let w(p) be the second derivative of 4*p - 7/30*p**6 - 2 + 1/10*p**5 + 0*p**2 + 0*p**4 + 0*p**3. Let w(b) = 0. Calculate b.
0, 2/7
Let d(r) be the second derivative of 1/90*r**6 + 25*r + 0 + 2/9*r**3 - 1/15*r**5 - 2/3*r**2 + 1/12*r**4. Find j such that d(j) = 0.
-1, 1, 2
Let b = -54185 - -379299/7. Factor 0 - 2/7*l - 2/7*l**3 - b*l**2.
-2*l*(l + 1)**2/7
Let m(z) = -3*z**5 - 4*z**4 + 35*z**3 - 2*z**2 - 36*z - 2. Let c(v) = v**5 - v**4 - 4*v**3 - v**2 + 1. Let u(p) = -2*c(p) - m(p). Factor u(q).
q*(q - 2)**2*(q + 1)*(q + 9)
Solve 2/9*u**5 + 310/9*u**3 + 0 + 0*u + 18*u**4 - 158/3*u**2 = 0.
-79, -3, 0, 1
Let s(i) be the third derivative of -2*i**5/9 + 5*i**4/8 + 230*i**3/9 + 161*i**2 + 8. Factor s(c).
-5*(c - 4)*(8*c + 23)/3
Let x be 10 + 7/(2/(-6)*3). Let n(s) be the second derivative of 2/15*s**x + 1/30*s**4 + 0 + s - 3/5*s**2. Factor n(j).
2*(j - 1)*(j + 3)/5
Let d be (((-90)/(-25))/(-3))/((-2090)/3800). Factor 2/11*v**4 - 4/11*v**3 - d*v**2 - 10/11 - 28/11*v.
2*(v - 5)*(v + 1)**3/11
Let s be (-8)/6*270/(-40) - 5. Let r(y) be the first derivative of 2*y**2 + 0*y + 8/3