y.
-3*y*(y + 1)*(y + 21)/4
Let c(d) be the second derivative of 7/2*d**4 - 8/3*d**3 - 20*d**2 - 1/15*d**6 + 4/5*d**5 + 18*d - 1. Suppose c(g) = 0. What is g?
-2, -1, 1, 10
Let u(g) be the second derivative of 0 + 1/3*g**2 + 1/9*g**3 + 64*g + 1/72*g**4. Find h, given that u(h) = 0.
-2
Let o(p) be the third derivative of 125*p**8/112 + 7415*p**7/42 + 93221*p**6/12 + 77881*p**5/6 - 13475*p**4/8 - 36015*p**3/2 + 9*p**2 - 9*p - 1. Solve o(w) = 0.
-49, -3/5, 1/3
Let s(y) = 5*y**3 - 182*y**2 + 3*y + 198. Let u(q) = -3*q**3 + 183*q**2 - 3*q - 195. Let m(j) = -3*s(j) - 4*u(j). Factor m(w).
-3*(w - 1)*(w + 1)*(w + 62)
Let x = -34489 - -34493. Let p(q) be the second derivative of -11*q + 0 - 1/21*q**x - 3/70*q**5 + 1/21*q**3 + 0*q**2. Find c such that p(c) = 0.
-1, 0, 1/3
Let k(n) be the third derivative of -n**6/240 - 3*n**5/40 - n**4/2 - 4*n**3/3 + 113*n**2 + 1. Determine z, given that k(z) = 0.
-4, -1
Suppose -2*x + 5*x + 150 = 4*f, 0 = 5*x - 4*f + 242. Let q = x - -57. Determine u, given that 24*u - 6*u**3 - q*u - 10*u + 3*u**2 = 0.
-1/2, 0, 1
Let n(c) be the second derivative of -c**4/3 + 2894*c**3/3 - 2892*c**2 - c + 81. Factor n(o).
-4*(o - 1446)*(o - 1)
Let l(v) be the second derivative of -v**4/12 + 19*v**3/6 - 30*v**2 + v + 504. Factor l(x).
-(x - 15)*(x - 4)
Let d(i) be the third derivative of -i**5/20 - 19*i**4/2 - 722*i**3 - 707*i**2. Find l, given that d(l) = 0.
-38
Let h(n) be the first derivative of n**3/15 + n**2/10 - 72*n/5 - 1309. Factor h(y).
(y - 8)*(y + 9)/5
Let o be -4 + (-1 - -2)/(20/5020). Let c = 257 - o. Find g, given that -16/3*g**3 - 4*g - 2/3 + c*g**2 = 0.
-1/8, 1
Factor -7020*d + 168*d**3 - 2916 + 3827*d**3 + 1985*d**3 + 743*d**2 - 2116*d**4.
-(d - 2)**2*(46*d + 27)**2
Let b(z) be the third derivative of 0*z - 4/945*z**7 + 0 + 6*z**2 + 1/540*z**6 + 1/135*z**5 - 1/504*z**8 + 0*z**4 + 0*z**3. Factor b(h).
-2*h**2*(h + 1)**2*(3*h - 2)/9
Let z(a) be the second derivative of -a**7/252 - 113*a**6/60 + 227*a**5/40 - 341*a**4/72 + 5*a - 1456. Factor z(o).
-o**2*(o - 1)**2*(o + 341)/6
Let s(l) be the first derivative of -2*l**3/3 - 13*l**2 + 396*l - 3199. Factor s(b).
-2*(b - 9)*(b + 22)
Let n be (-33901)/(-4676) + -7 + 0. Factor 0*k**3 - 1/4*k**4 + 0 + 0*k + n*k**2.
-k**2*(k - 1)*(k + 1)/4
Let v(l) be the first derivative of 54*l**3 + 24*l**2 + 32*l/9 - 751. Solve v(z) = 0.
-4/27
Let p(m) be the third derivative of m**6/12 + 9*m**5/4 + 5*m**4/2 - 65*m**3/6 + 2061*m**2. Factor p(q).
5*(q + 1)*(q + 13)*(2*q - 1)
Let w = -589 - -595. Suppose -4*d**4 + 40*d**3 - 144*d**2 + 163*d - 134 - 5*d + w + 66*d = 0. Calculate d.
2, 4
Let f = -2637 - -2672. Let k(y) be the first derivative of -2/5*y**5 - 2*y**3 + 0*y - y**2 - 3/2*y**4 + f. Factor k(h).
-2*h*(h + 1)**3
Let 1162/3*a - 4*a**4 - 73/6*a**3 + 196 + 183*a**2 - 1/6*a**5 = 0. What is a?
-14, -1, 6
Let c(n) be the third derivative of n**6/40 + 4*n**5/5 - 19*n**4/8 - 17*n**3 + 6*n**2 + 36*n. Determine y so that c(y) = 0.
-17, -1, 2
Let i(t) be the first derivative of 0*t + 25*t**2 - 5/4*t**4 - 107 - 5*t**3. Factor i(z).
-5*z*(z - 2)*(z + 5)
Let c(z) be the first derivative of -153 + 6962/15*z + 118/15*z**2 + 2/45*z**3. Solve c(o) = 0 for o.
-59
Determine h, given that 73*h - 63 + 1/3*h**3 - 31/3*h**2 = 0.
1, 9, 21
Let n = -37/6524 - -3299/6524. Factor -n*t**2 + 6 - 1/2*t.
-(t - 3)*(t + 4)/2
Let f(d) be the third derivative of 34*d**2 + 136/315*d**7 - 71/18*d**4 + 0*d + 23/5*d**5 - 41/18*d**6 + 0 + 2/9*d**3. Factor f(h).
4*(h - 1)**3*(68*h - 1)/3
Let i be ((-745)/(-25) + 3)/(8/(-40)). Let v = i + 494/3. Factor -1/3*m**2 - v + m.
-(m - 2)*(m - 1)/3
Find v, given that -81*v - 1458/7 - 72/7*v**2 - 3/7*v**3 = 0.
-9, -6
Let l(f) = f**2 + f - 2. Let j be l(-2). Suppose 62*n - 1953 = -1953. Factor -2/7*k**3 + j*k + n - 2/7*k**2.
-2*k**2*(k + 1)/7
Suppose 5 + 16 = -2*t + 5*u, 3*t + 49 = 4*u. Let i = -21 - t. What is f in 2 + f**5 + f + 3*f**4 + i*f**2 - 3 - 2*f**3 - 4*f**4 = 0?
-1, 1
Let i(b) be the third derivative of -2*b**2 - 3 + 0*b + 5/96*b**4 + 1/240*b**5 + 1/6*b**3. What is t in i(t) = 0?
-4, -1
Suppose -9*t + 5*t = -p - 16, -2*p - 23 = -5*t. Let q(j) be the first derivative of -3/5*j**2 - 13 + 0*j - 2/15*j**t. Determine f, given that q(f) = 0.
-3, 0
Let t(h) = -h**2 + h - 12. Let w(u) = u**3 - 2*u**2 - 17*u. Let r(z) = -t(z) - w(z). Let r(q) = 0. What is q?
-2, -1, 6
Let o = 55 + -53. Suppose o*p + 219 = 5*p. Factor 0*l**4 + 72*l**3 - p*l**3 + l**4.
l**3*(l - 1)
Suppose -2*z + 14 = 3*z - 2*p, -5*z = -3*p - 16. Suppose 10*w**3 - 4*w**3 + 4*w**4 + 120*w**z + 42*w**3 + 112*w - 80 + 116 = 0. What is w?
-9, -1
Let z(n) = -55*n**2 - 35*n - 51. Let j(k) = -2*k**2 + 2*k - 1. Let p(r) = 30*j(r) - 2*z(r). Factor p(d).
2*(5*d + 4)*(5*d + 9)
Find g, given that 2/3*g**2 + 26934 - 268*g = 0.
201
Let t(k) be the first derivative of k**6/120 - k**5/60 - k**4/6 + 2*k**3/3 + 26*k**2 - 63. Let g(y) be the second derivative of t(y). Factor g(v).
(v - 2)*(v - 1)*(v + 2)
Find d such that -33/7*d**3 + 0 - 75/7*d - 3/7*d**4 - 15*d**2 = 0.
-5, -1, 0
Let t(s) = -s + 1. Let u(m) = -3*m**3 - 12*m**2 - 15*m + 30. Suppose -2*w - 51 = -15. Let r(o) = w*t(o) + u(o). Factor r(y).
-3*(y - 1)*(y + 1)*(y + 4)
Let g(k) = -105*k**2 - 1776*k - 240. Let b(x) = -26*x**2 - 443*x - 60. Let h(o) = 21*b(o) - 5*g(o). Factor h(l).
-3*(l + 20)*(7*l + 1)
Let h(l) be the first derivative of 5*l**4/12 + 5*l**3/3 + 5*l**2/2 + 13*l - 17. Let t(n) be the first derivative of h(n). What is x in t(x) = 0?
-1
Let i(f) = 3*f**3 + 6*f**2 + 7*f + 7. Let j(x) = -18*x - 58. Let d be j(-4). Let s(t) = -t**3 - 2*t**2 - 2*t - 2. Let g(k) = d*s(k) + 4*i(k). Factor g(o).
-2*o**2*(o + 2)
Let w = 4903 - 2796. Suppose 2*n**2 - 2059 + 5*n + w + 23*n = 0. Calculate n.
-12, -2
Suppose -5*b - 119 = 2*a - 135, -2*b - 2*a + 16 = 0. Factor -1/2*y**3 + b - 3*y**2 - 9/2*y.
-y*(y + 3)**2/2
Find l, given that -40 + 138*l**4 + 46*l**3 + 653129*l - 652667*l - 626*l**2 + 9*l**5 + 0*l**5 + 11*l**5 = 0.
-5, -4, 1/10, 1
Factor 79635834601472/5 + 75721728/5*q**2 + 2/5*q**4 - 126808653824/5*q - 20096/5*q**3.
2*(q - 2512)**4/5
Let l(r) be the second derivative of 0*r**2 - 16/15*r**6 + 2/21*r**7 + 11/5*r**5 + 8/3*r**4 + 0 - 94*r - 8*r**3. Let l(j) = 0. What is j?
-1, 0, 1, 2, 6
Let v(k) be the first derivative of -k**3 - 3*k**2 + 240*k + 582. Factor v(f).
-3*(f - 8)*(f + 10)
Suppose -9/7*q**3 + 1/7*q**5 + 24/7 + 4/7*q + 2/7*q**4 - 22/7*q**2 = 0. Calculate q.
-2, 1, 3
Let s = -4494 + 4496. Let m(j) be the first derivative of -5/9*j**s + 6 + 0*j + 2/27*j**3. Factor m(r).
2*r*(r - 5)/9
What is f in -325*f**3 + 18*f**4 + 21*f**4 - 162 - 258 - 1310*f**2 - 67*f**4 + 18*f**4 - 1415*f = 0?
-28, -3, -1, -1/2
Let s(l) be the first derivative of l**5/80 - l**3/2 + 2*l**2 + 64*l - 119. Let y(r) be the first derivative of s(r). Factor y(j).
(j - 2)**2*(j + 4)/4
Let c = -266 + 278. Suppose 2*w = -3*o, 0 = -2*w + 2*o - 3*o + 8. Suppose -w - 15*g - c*g**2 + 29*g + 13*g = 0. What is g?
1/4, 2
Let r(l) = -3*l**3 - 5*l**3 - 41*l**2 + 40*l**2 + 6*l**3. Let s(f) = -52*f**3 - 16*f**2 + 8*f. Let k(h) = 20*r(h) - s(h). Factor k(v).
4*v*(v - 1)*(3*v + 2)
Let r = 1026561 - 1026558. Factor 4/5*o + 0 + 1/5*o**2 - 1/10*o**r.
-o*(o - 4)*(o + 2)/10
Let j be (260/6)/(2*8/6*194/582). Solve -j*r + 70*r**2 + 5/4*r**5 - 85/2*r**3 + 25/2 + 15/2*r**4 = 0 for r.
-10, 1
Let k(w) be the first derivative of -3*w**4/8 - 243*w**3/2 - 59049*w**2/4 - 1594323*w/2 + 1168. Factor k(c).
-3*(c + 81)**3/2
Let x(r) be the third derivative of r**7/315 - 19*r**6/180 + 7*r**5/18 - 17*r**4/36 - 3*r**2 - 393*r. Find u such that x(u) = 0.
0, 1, 17
Let o = -2315443/11 + 210497. Factor -o + 16/11*h - 2/11*h**2.
-2*(h - 6)*(h - 2)/11
Suppose 5*f + 15 = 2*q + q, -2*f - 25 = -5*q. Suppose 4*o - 3*o - 11 = -2*s, f = -s + o - 2. Factor -6*d**5 + 8*d**4 + 24*d**s + 10*d**5 + 8*d**2 + 10*d**4.
2*d**2*(d + 2)**2*(2*d + 1)
Let r = -140417/12 - -11702. Let i(h) be the second derivative of 23/80*h**5 - 16*h + r*h**4 + 1/15*h**6 + 1/2*h**3 + 1/168*h**7 + 0*h**2 + 0. Solve i(d) = 0.
-3, -2, -1, 0
Let i = -108 - -113. Let o be (((-140)/21)/i)/(-2). Factor 0 - o*v**3 + 2/3*v**2 + 2/3*v**5 + 0*v - 2/3*v**4.
2*v**2*(v - 1)**2*(v + 1)/3
Factor 33/7*m**2 + 12/7 + 39/7*m + 6/7*m**3.
3*(m + 1)*(m + 4)*(2*m + 1)/7
Let w be (9/6)/(0 + (-9)/(-12)). Find r, giv