 the third derivative of -v**6/540 + v**5/135 + 65*v**4/108 + 50*v**3/9 - 3*v**2 + 410*v. Let c(g) = 0. What is g?
-5, -3, 10
Let a be (((6/7)/(-3))/((-2476)/(-4333)))/(-2). Factor -1/4*f**3 - a - 3/4*f**2 - 3/4*f.
-(f + 1)**3/4
Factor 30*v**2 - 16*v**2 + v**2 + 5*v - 764*v.
3*v*(5*v - 253)
Let h = -315 - -961. Let x = -497 + 501. Let 66*w**2 + 3*w**x - 16*w**3 - 72*w - h - 8*w**3 + 673 = 0. Calculate w.
1, 3
Let j = -3792 + 3802. Let s(n) be the second derivative of -3/2*n**5 + 23*n - 10*n**3 + 1/6*n**6 + j*n**2 + 0 + 65/12*n**4. Factor s(q).
5*(q - 2)**2*(q - 1)**2
Suppose 0 = -5*u + 7*u - 3*b - 9, 2*u = 4*b + 10. Factor 25*o + 38*o**3 - 21*o - 34*o**u - 8*o**2.
4*o*(o - 1)**2
Let u(z) be the second derivative of -3 + 1/110*z**5 + 4*z - 27/11*z**2 + 1/22*z**4 - 3/11*z**3. Factor u(m).
2*(m - 3)*(m + 3)**2/11
Let q(o) be the second derivative of 7*o**6/15 + 43*o**5/2 + 6136*o**4/21 + 10816*o**3/21 - o - 796. Solve q(z) = 0.
-104/7, -1, 0
Let f(t) be the second derivative of -t**6/120 - t**5/20 + 7*t**4/16 + 25*t**3/6 + 25*t**2/2 + 6*t - 610. Suppose f(g) = 0. Calculate g.
-5, -2, 5
Let q(a) be the third derivative of -a**9/90720 + a**8/30240 + a**7/945 - a**6/90 - a**5/2 - 38*a**2. Let k(s) be the third derivative of q(s). Factor k(o).
-2*(o - 2)**2*(o + 3)/3
Suppose -3*f + 5*f - 10 = 0. Suppose 0 = -2*k - j + 22, 0*j = -k + f*j - 11. Let v**4 - k*v**3 + 6*v**3 + 2*v**4 = 0. Calculate v.
0, 1
Let n(i) be the second derivative of -i**7/14 - 211*i**6/5 + 639*i**5/10 + 316*i**4 - 2113*i**3/2 + 1269*i**2 - 10338*i. Find b such that n(b) = 0.
-423, -2, 1
Let s(y) be the first derivative of -y**8/15960 - y**7/7980 + y**6/3420 + y**5/1140 - 3*y**3 + 5*y - 41. Let o(x) be the third derivative of s(x). Factor o(a).
-2*a*(a - 1)*(a + 1)**2/19
Let b(t) be the first derivative of 4 + 0*t + 8/3*t**3 + 1/2*t**4 - 1/15*t**5 - 5*t**2. Let u(k) be the second derivative of b(k). Factor u(d).
-4*(d - 4)*(d + 1)
Let k be ((-10374)/(-39520))/((-18)/(-10)). Let a(z) be the second derivative of 0 + 29*z - 1/12*z**3 - k*z**4 + 0*z**2. Factor a(d).
-d*(7*d + 2)/4
Let j(a) = a**2 - 78. Let v be j(-9). Factor 35*s**4 + 5*s**5 + 134 - 276 + 142 + 30*s**v.
5*s**3*(s + 1)*(s + 6)
Let o(l) be the second derivative of l**7/42 - 31*l**6/24 + 28*l**5/3 - 45*l**4/2 + 165*l**2/2 + 205*l. Let y(m) be the first derivative of o(m). Factor y(a).
5*a*(a - 27)*(a - 2)**2
Let j = -1103216 - -1103218. Factor 7/4*k**j - 3/2 + 5/4*k - 5/4*k**3 - 1/4*k**4.
-(k - 1)**2*(k + 1)*(k + 6)/4
Suppose o + s + 4*s - 50 = 0, -2*o + 100 = -5*s. Suppose 0 = 37*z - 61 - o. Factor 26/7*m**2 + 24/7*m + 2/7*m**4 + 12/7*m**z + 8/7.
2*(m + 1)**2*(m + 2)**2/7
Let f(u) be the first derivative of u**4 + 8*u**3 - 14*u**2 - 3590. Factor f(r).
4*r*(r - 1)*(r + 7)
Let d(i) be the first derivative of -38*i**3/3 + 55*i**2 + 12*i + 4235. Factor d(q).
-2*(q - 3)*(19*q + 2)
Factor -23*g**5 + 27*g**5 - 24*g**3 + 12 - 76*g + 12 - 8*g**4 + 107*g**2 - 27*g**2.
4*(g - 2)*(g - 1)**3*(g + 3)
Let j = -1074266 - -4356383/4. Factor 4563/2*y**2 + 2 + 117*y + j*y**3.
(39*y + 2)**3/4
Let j(b) be the second derivative of -b**5/140 - 23*b**4/21 - 13*b**3/6 + 2490*b. Determine d, given that j(d) = 0.
-91, -1, 0
Let f(w) be the second derivative of 1/189*w**7 - 5230/27*w**4 + 1 - 8000/9*w**2 + 17200/27*w**3 - 62/135*w**6 + 1321/90*w**5 - 21*w. Factor f(j).
2*(j - 20)**3*(j - 1)**2/9
Let f be 2 + (-5)/((-100)/(-24)) + (-784)/(-420). Factor 1/9*c**5 + f*c**3 + 0 + 4*c**2 + 0*c - 11/9*c**4.
c**2*(c - 6)**2*(c + 1)/9
Find t such that 1898/11*t**2 + 2/11*t**3 + 3790/11*t + 1894/11 = 0.
-947, -1
Let p(y) be the second derivative of -y**6/10 - 95*y**5/4 - 79*y**4/6 + 222*y - 6. Suppose p(s) = 0. What is s?
-158, -1/3, 0
Let a(q) = -35*q**2 + 250*q - 25. Suppose 3*c = -t - 70, -c - 6*t = -7*t + 30. Let n(b) = 3*b**2 - 21*b + 2. Let w(l) = c*n(l) - 2*a(l). Factor w(p).
-5*p*(p - 5)
Let g(f) be the second derivative of 0 + 20*f + 0*f**2 + 5/24*f**4 - 5/4*f**3. Factor g(r).
5*r*(r - 3)/2
Suppose v = 3211*y - 3210*y + 14, -v = -3*y - 36. Factor 14/5*k**2 - 11/5*k + 3/5 + 1/5*k**5 - 1/5*k**4 - 6/5*k**v.
(k - 1)**4*(k + 3)/5
Let v(a) be the third derivative of a**7/3780 - a**6/540 - a**5/135 - 91*a**3/6 - 120*a**2. Let l(u) be the first derivative of v(u). Let l(i) = 0. Calculate i.
-1, 0, 4
Let n = 95168505/230829389 - -3/417413. Let o = n - 10/79. Factor 0 - 2/21*z**2 + o*z.
-2*z*(z - 3)/21
Let v(p) be the first derivative of -1/1080*p**6 + 1/360*p**5 + 0*p**4 + 0*p + 16/3*p**3 + 0*p**2 - 9. Let x(f) be the third derivative of v(f). Factor x(i).
-i*(i - 1)/3
Let m(a) be the third derivative of -a**8/840 + 2*a**7/75 + a**6/6 + 2*a**5/15 - 49*a**4/60 - 34*a**3/15 - 6*a**2 + 54. Determine l, given that m(l) = 0.
-2, -1, 1, 17
Let i(c) be the third derivative of -16/9*c**3 - 26*c**2 + 5/12*c**4 + 0*c + 2 + 1/90*c**5. Factor i(w).
2*(w - 1)*(w + 16)/3
Let d = 1442832/5 - 288555. Factor -d - 3/5*f**2 - 12*f.
-3*(f + 1)*(f + 19)/5
Let o(p) = -20*p - 76. Let n be o(-4). Let u be -5 + ((-26)/n)/((-10)/10). Factor u*m + 3/2*m**3 + 0 + 3*m**2.
3*m*(m + 1)**2/2
Let j(f) = -f**4 + f**3 - f**2 - 1. Let i(m) = -10*m**4 + 18*m**3 - 21*m**2 - 16*m - 11. Suppose 26*s = 19*s - 308. Let o(b) = s*j(b) + 4*i(b). Factor o(n).
4*n*(n - 2)*(n + 1)*(n + 8)
Let p(g) = -3*g - 31. Let w be p(-11). Factor -w*u**4 + 1305*u - 1305*u - 4*u**3 + 6*u**4 - 8*u**2.
4*u**2*(u - 2)*(u + 1)
Factor 93*z**2 + 5028*z**4 + 81*z**3 - 6*z**5 - 5001*z**4 + 9*z**5 + 36*z.
3*z*(z + 1)**2*(z + 3)*(z + 4)
Let a = -129 + 630. Let v = -499 + a. Factor -4/3*s**3 - 5/3*s**v + 0 - 2/3*s - 1/3*s**4.
-s*(s + 1)**2*(s + 2)/3
Let n(u) be the third derivative of u**7/84 - 5*u**6/24 - u**5/2 + 25*u**4/24 + 55*u**3/12 - 9*u**2 + 49. Determine c so that n(c) = 0.
-1, 1, 11
Let l(x) be the second derivative of -x**7/70 + 3*x**6/8 + 4*x**5/5 + 23*x**2/2 - 173*x. Let a(k) be the first derivative of l(k). Factor a(h).
-3*h**2*(h - 16)*(h + 1)
Let u be 4/232*(-9425)/(-650). Solve 1/4*r**3 - 1/2*r - u*r**2 + 0 = 0.
-1, 0, 2
Let a(u) be the first derivative of u**5/30 - 7*u**4/72 - 7*u**3/18 - u**2/4 - 50*u + 134. Let j(k) be the first derivative of a(k). Factor j(f).
(f - 3)*(f + 1)*(4*f + 1)/6
Let r(n) be the first derivative of 8/5*n**5 - 83 + 0*n**3 + 0*n**2 + 1/3*n**6 + 0*n**4 + 0*n. Determine i, given that r(i) = 0.
-4, 0
Let h(g) be the third derivative of -7*g**6/360 - g**5/20 - g**4/36 + 1819*g**2. Let h(v) = 0. Calculate v.
-1, -2/7, 0
Let f be (0/((-8)/(-8)))/(-6). Let o(b) be the second derivative of 2/45*b**6 + 0*b**2 + 0 - 1/9*b**4 + f*b**3 + 0*b**5 - 5*b. Factor o(z).
4*z**2*(z - 1)*(z + 1)/3
Let u(f) be the third derivative of f**6/60 + 369*f**5/10 + 25484*f**4 - 306916*f**3/3 + 3262*f**2. Factor u(m).
2*(m - 1)*(m + 554)**2
Let u(g) be the second derivative of -g**4/6 - 13*g**3/3 - 36*g**2 + 8*g - 92. Suppose u(p) = 0. Calculate p.
-9, -4
Let i = 131 + -117. Factor 20*p + i*p - 16*p**3 - 16*p**2 - 5 + 18*p**3 - 15.
2*(p - 5)*(p - 2)*(p - 1)
Let m(s) = s**3 - 7*s**2 + 18*s - 19. Let w be m(3). Let v be (-11 - w)*(-10)/(-125)*-3. Factor 18/5 + 2/5*a**2 - v*a.
2*(a - 3)**2/5
Suppose -238*z = 4*z + 126*z. Let o(b) be the second derivative of 0 - 18*b + 1/36*b**4 + z*b**2 + 11/120*b**5 + 0*b**3 + 1/36*b**6. Factor o(r).
r**2*(r + 2)*(5*r + 1)/6
Let a(t) be the third derivative of -1/270*t**6 - 25/18*t**4 + 0*t + 0 + 1/6*t**3 - 3*t**2 - 1/9*t**5. Let r(b) be the first derivative of a(b). Factor r(i).
-4*(i + 5)**2/3
What is s in -2/9*s**4 + 0 - 4784/9*s**2 - 4232/3*s - 190/9*s**3 = 0?
-46, -3, 0
Suppose 0 = 4*t - 2*t + 2*l, 27 = 5*t - 4*l. Suppose 0 = -3*s - s + t*f + 8, -8 = -4*s - f. Determine x, given that -1/5*x**s + 0 + 0*x = 0.
0
Let s(i) = -150*i - 1197. Let l be s(-8). Let c(u) be the first derivative of 1/15*u**l + 12/5*u + 2*u**2 - 3/20*u**4 + 1. Determine b so that c(b) = 0.
-2, -2/3, 3
Let m(p) = p**5 + 42*p**4 - 91*p**3 - 260*p**2 + 204*p. Let y(t) = -t**5 - t**4 + t**3 + 2*t**2 - 2*t. Let v(x) = -m(x) - 4*y(x). Factor v(n).
n*(n - 7)**2*(n + 2)*(3*n - 2)
Factor 266*n**4 - 135*n**4 - 155*n**4 - 4*n**5 - 16*n**2 - 36*n**3.
-4*n**2*(n + 1)**2*(n + 4)
Factor 152/7 + 1/7*u**3 - 41/7*u**2 + 110/7*u.
(u - 38)*(u - 4)*(u + 1)/7
Suppose -10 + 2 = 4*p. Let k be -2*p/(-5)*2880/(-6). Let -k*s**2 - 