11*f**5/225 - 481*f**4/180 - 34*f**3/9 + 3289*f**2. Let u(x) = 0. Calculate x.
-34, -1, 5
Let t(o) be the third derivative of -o**8/1344 - o**7/840 + o**6/120 + o**5/60 - 1649*o**2. Solve t(s) = 0 for s.
-2, -1, 0, 2
Suppose -2 = -5*s + 4*s. Let j = -49382 + 49382. Factor -12/5*z - 3/5*z**4 + j*z**s + 9/5*z**3 + 0.
-3*z*(z - 2)**2*(z + 1)/5
Let i(v) be the second derivative of 5*v**7/21 - 494*v**6/45 + 547*v**5/18 - 583*v**4/27 - 380*v**3/27 + 248*v**2/9 - 29*v + 21. Let i(g) = 0. What is g?
-2/5, 2/3, 1, 31
Suppose 0 = 3*i + h - 96, -2*h - 29 = 2*i - 97. Suppose l = -2*g - 1, 2*g + 4*l = -i + 15. Factor 2/7*z**4 + 6/7 - 8/7*z**g - 4/7*z**3 + 4/7*z.
2*(z - 3)*(z - 1)*(z + 1)**2/7
Suppose 2*i + z - 8 = -0*i, -4*i + 2*z = 0. Factor 9 - 4746*b**2 + 0 + 4747*b**i + 6*b.
(b + 3)**2
Let f(m) be the third derivative of m**6/80 + 99*m**5/10 + 3267*m**4 + 574992*m**3 + 1802*m**2. Suppose f(n) = 0. What is n?
-132
Let s = 296 + -293. Suppose 0 = -s*j - 2*o, -j + 5*o = 4*o - 5. Suppose -9/2*w**3 + 0 - 9/2*w**j - 3/2*w**4 - 3/2*w = 0. What is w?
-1, 0
Let j = 32 - 24. Suppose -56 + j = -4*a. Factor 4 - a*s - 5 - 13 + 6 - 4*s**2.
-4*(s + 1)*(s + 2)
Let q(b) = -2*b + 3*b**2 - b - 2*b + 31 + 6*b. Let t be q(11). Determine i so that i**5 - t + 405 - i**4 = 0.
0, 1
Solve -10/21*y**3 - 1884/7*y**2 + 640712/21 - 37922*y = 0.
-283, 4/5
Let r(x) be the second derivative of -x**8/11760 - 2*x**7/2205 - x**6/315 - 19*x**4/6 + 78*x. Let k(i) be the third derivative of r(i). Factor k(q).
-4*q*(q + 2)**2/7
Let s(h) be the first derivative of -h**6/9 - 26*h**5/15 + 29*h**4 - 1024*h**3/9 + 352*h**2/3 - 2486. Determine o, given that s(o) = 0.
-22, 0, 1, 4
Let h(t) be the first derivative of -t**4/6 - 334*t**3/9 - 2296*t**2 + 4704*t + 3855. Solve h(y) = 0.
-84, 1
Suppose 0*w + 6*w - 162 = 0. Let l = -18 + w. Let -11*v - 81 + 131 - l*v + 2*v**2 = 0. Calculate v.
5
Factor -2*y**2 - 268*y - 246 - 1037 - 2*y**2 + 258 + 17.
-4*(y + 4)*(y + 63)
Let r be 368/144 - 8/(-18). Suppose -h = -5*q + 4, 4*q - r*h = -14 + 15. Factor -q - 1/2*p**2 + 3/2*p.
-(p - 2)*(p - 1)/2
Let h = 620 + -616. Suppose d - 5 = -h*s, -3*s - 9 = -4*d + 11. Let 2/7*v**2 + s + 0*v + 1/7*v**3 = 0. What is v?
-2, 0
Let k(y) be the second derivative of y**7/336 - y**6/48 + y**5/32 + 5*y**4/96 - y**3/8 + 62*y + 12. Determine l, given that k(l) = 0.
-1, 0, 1, 2, 3
Suppose 2*v - 67 = 3*i, 0*i - 2*i + 3*v - 48 = 0. Let n(o) = -4*o - 84. Let l be n(i). Factor l*b + 0*b**3 - 2/13*b**2 + 2/13*b**4 + 0.
2*b**2*(b - 1)*(b + 1)/13
Suppose -5*u + 5*k - 170 = 0, 0 = -2*k - 89 + 85. Let r be u/(-7)*63/45. Factor 4/5*a**4 + r - 8/5*a**2 - 16/5*a**3 + 48/5*a.
4*(a - 3)**2*(a + 1)**2/5
Let l(o) = -161*o**2 + 554*o + 280. Let d(v) = -1930*v**2 + 6630*v + 3360. Let y(r) = 2*d(r) - 25*l(r). Suppose y(i) = 0. What is i?
-14/33, 4
Let b(c) be the first derivative of 7*c**4/4 + 17*c**3 + 49*c**2 + 24*c + 2150. Determine x so that b(x) = 0.
-4, -3, -2/7
Let j = 1319 - 1321. Let f be 6 + 207/(-36) - 1/j. Solve -2*s + f*s**2 - 3/4 = 0 for s.
-1/3, 3
Suppose 0*z + z - 24 = -3*i, i = -1. Suppose -3*w + 21 = 3*j, z = 3*j + 2*j + 3*w. Solve -24/7 - 110/7*x**2 - 16*x + 50/7*x**j = 0 for x.
-2/5, 3
Let m(a) be the third derivative of a**7/1512 - 7*a**6/2160 + a**5/180 - 7*a**4/4 + 44*a**2. Let j(b) be the second derivative of m(b). Factor j(v).
(v - 1)*(5*v - 2)/3
Suppose -5 = i + b, 0*i + 4*b = -i - 2. Let n be (i/18)/(1/(-12)). Factor 3*v**2 + v**2 - n*v + v**2 - v.
5*v*(v - 1)
Factor 15*n + 122*n**2 + 90*n - 123*n**2 + 160*n + 804.
-(n - 268)*(n + 3)
Let p(d) be the second derivative of d**4/4 - 350*d**3/9 - 26*d**2 + 1574*d. Let p(y) = 0. Calculate y.
-2/9, 78
Let b be -2465*(-17)/1870 - 6/(-66). Solve -25/2*u**4 + 35/2*u**5 + 5*u - b*u**3 + 25/2*u**2 + 0 = 0.
-1, -2/7, 0, 1
Let r(h) be the first derivative of -h**6/6 + 8*h**4 + 10*h**3 - 31*h**2/2 - 30*h - 1972. Solve r(v) = 0.
-5, -1, 1, 6
Suppose -2*w = -5*m + 118 - 36, 5*m - 83 = 3*w. Factor 3648 - 3632 + 64*q - 12*q**2 + m*q**4 + 0*q**2 - 44*q**3.
4*(q - 2)**2*(q + 1)*(4*q + 1)
Let n = 24206 - 24206. Let r(d) be the second derivative of 8/9*d**3 - 33*d + n + 1/6*d**4 - d**2. What is u in r(u) = 0?
-3, 1/3
Let q = -473 + 477. Determine z so that -7*z**5 - 4*z**q + 61*z**4 + 29*z + 33*z**2 - 10*z**4 - 11*z - 91*z**3 = 0.
-2/7, 0, 1, 3
Let i = -20380 - -305702/15. Let c(h) be the first derivative of -8/5*h - 7 - i*h**3 - h**2. Factor c(f).
-2*(f + 1)*(f + 4)/5
Let i be (1 - 2)*(-4 - -8). Let g be (-18)/((-3366)/527) - i/22. Let -4/5*t**2 + 4/5 + 2/5*t**g - 2/5*t = 0. Calculate t.
-1, 1, 2
Let u(d) be the first derivative of 15*d**6/2 + 7*d**5 - 415*d**4/4 + 195*d**3 - 145*d**2 + 40*d + 2997. Factor u(l).
5*(l - 1)**3*(l + 4)*(9*l - 2)
Let z(j) = j**2 - 1. Let x(t) = 4*t**2 - 19*t + 87. Let q(a) = x(a) - 3*z(a). Let g be q(8). Factor -4/13*i**g + 6/13*i + 4/13.
-2*(i - 2)*(2*i + 1)/13
Suppose -259*s**2 - 69 + 70*s**3 + 2*s - 8*s**4 + 87*s + 75*s**2 + 93*s + 9 = 0. What is s?
3/4, 1, 2, 5
Suppose 205*k = -1219*k + 5696. Factor 20/3*n**k + 24*n**2 + 0 + 2/3*n**5 + 0*n + 22*n**3.
2*n**2*(n + 3)**2*(n + 4)/3
Let r(k) = 118*k**3 + 2536*k**2 + 22*k + 44. Let j(p) = 16*p**3 + 362*p**2 + 3*p + 6. Let h(u) = 22*j(u) - 3*r(u). Factor h(i).
-2*i**2*(i - 178)
Let g(j) be the third derivative of j**6/30 - 4*j**5/15 + j**4/2 + 3*j**2 - 2. Let g(c) = 0. Calculate c.
0, 1, 3
Factor 220*j - 18 + 234 + 163*j + 215*j - 2*j**2 - 552*j.
-2*(j - 27)*(j + 4)
Let z = -283 + 152. Let p = 135 + z. Factor 14*v**3 + 28*v**2 + v**5 + 25*v**4 - 5*v**p + 38*v**3 - 5*v**5.
-4*v**2*(v - 7)*(v + 1)**2
Let a(n) = 4*n**2 + 14*n + 12. Suppose -6*d = 219 - 243. Let w(k) = 19*k**2 + 57*k + 47. Let h(l) = d*w(l) - 18*a(l). Determine f, given that h(f) = 0.
-1, 7
Let c(s) be the third derivative of s**6/240 - 41*s**5/40 + 1681*s**4/16 - 68921*s**3/12 + 953*s**2. Solve c(q) = 0 for q.
41
Let n(p) = -p**3 + 2*p**2 + 7*p - 10. Let c be n(3). Factor -12*l**3 + 4*l**5 + 20*l**4 + 40*l - 11*l**2 - 41*l**c + 0*l**2.
4*l*(l - 1)**2*(l + 2)*(l + 5)
Let q(k) be the second derivative of -k**6/150 + 23*k**5/50 - 71*k**4/20 + 166*k**3/15 - 82*k**2/5 + 375*k + 7. Factor q(h).
-(h - 41)*(h - 2)**2*(h - 1)/5
Let s be 3/(173/(-86) - -2). Let c = s - -261. Determine d so that 0 + 3/2*d**2 - 3/2*d**c + 0*d = 0.
0, 1
Let w(c) be the first derivative of -112*c**2 + 64/3*c**3 + 196*c - 19. Suppose w(y) = 0. Calculate y.
7/4
Let m be 2106/(-135) + 20 - (-1)/((-5)/(-3)). Let h(x) be the first derivative of -14*x - 2/3*x**3 + 8*x**2 + m. Factor h(t).
-2*(t - 7)*(t - 1)
Let z(c) be the first derivative of c**6/2520 + c**5/280 - 5*c**4/84 - 45*c**3 + 39. Let t(j) be the third derivative of z(j). Factor t(s).
(s - 2)*(s + 5)/7
Let p be 6*(-1)/(-6) - (50 - 53). Let x(l) be the second derivative of -2*l - 1/24*l**p + 0 + 0*l**3 + 1/4*l**2. Factor x(j).
-(j - 1)*(j + 1)/2
Suppose -9895*i**3 + 13*i**2 - 72*i - 4*i**4 + 9855*i**3 - 47*i**2 + 5*i**2 - 79*i**2 = 0. What is i?
-6, -3, -1, 0
Let b(n) be the second derivative of n**5/4 + 8945*n**4/4 + 5998740*n**3 - 18009640*n**2 - 393*n - 2. Find g such that b(g) = 0.
-2684, 1
Suppose x = 4*x - 4*n - 11, -4*x = -3*n - 24. Let o be ((-200)/(-1100))/(x/11). Factor 8/9*r**3 + 0 - o*r - 2/3*r**2.
2*r*(r - 1)*(4*r + 1)/9
Suppose -81*q = 159*q - 345 - 135. Let u(z) be the second derivative of 0*z**q + 0*z**3 + 0*z**4 - 24*z + 1/60*z**6 + 0 + 1/20*z**5. Factor u(t).
t**3*(t + 2)/2
Let d(r) = 4*r**3 + 8*r**2 + 53*r - 5. Let p(l) = l**3 + 5*l**2 + 3*l - 1. Let s(c) = -d(c) + 5*p(c). Determine w, given that s(w) = 0.
-19, 0, 2
Let s(n) = n**2 - 15*n - 212. Let j be s(-9). Let h(b) be the first derivative of 2*b**3 + 32*b + 6 - 12*b**2 - 1/8*b**j. Find f, given that h(f) = 0.
4
Let f = -104787/2 - -209575/4. Factor f*q**2 + 0 + 11/2*q.
q*(q + 22)/4
Let y(c) be the first derivative of 9/2*c + 35 - 11/16*c**4 - 45/8*c**2 + 37/12*c**3 + 1/20*c**5. Factor y(n).
(n - 6)*(n - 3)*(n - 1)**2/4
Let w(y) be the third derivative of -y**6/360 + y**5/36 - y**4/36 - 4*y**3/9 - 2838*y**2. Determine z, given that w(z) = 0.
-1, 2, 4
Let x(u) be the third derivative of 0 + 5*u**2 + 1/24*u**4 - 1/60*u**5 + 0*u**3 + 0*u. Factor x(z).
-z*(z - 1)
Factor 56/5*w - 4/5*w**3 - 4/5*w**2 + 96/5.
-4*(w - 4)*(w + 2)*(w + 3)/5
Factor 0 + 555013/3*l**3 