q + 1/5*g**5 + 3/2*g**2 - 1/30*g**6 - 1/6*g**4 - 2/3*g**3 - 15*g. What is h in z(h) = 0?
-1, 1, 3
Let n(t) be the third derivative of -t**5/80 + 13*t**4/192 + 5*t**3/16 + 243*t**2 + 2*t. Factor n(g).
-(g - 3)*(6*g + 5)/8
Let j be 1 + -2 + (-588)/(-6). Factor -8 + 29*z + 24*z - j*z - 2*z**2 + 34*z.
-2*(z + 1)*(z + 4)
Determine n, given that 3/4*n**3 + 0*n + 0 + 1539/4*n**2 = 0.
-513, 0
Let n(p) be the third derivative of 2*p - 1/35*p**6 + 1/245*p**7 + 0*p**3 + 1/14*p**4 + 45*p**2 + 1/588*p**8 + 0 - 1/30*p**5. Determine m so that n(m) = 0.
-3, -1, 0, 1/2, 2
Let r = 416 - -191. What is i in 225*i**2 + 11*i**3 + 5*i**4 + 1620 + 99*i**3 + 1980*i - 47*i**2 + r*i**2 = 0?
-9, -2
Let w(h) be the second derivative of 11*h**5/80 + 85*h**4/24 + 76*h**3/3 - 48*h**2 + h + 35. Find s, given that w(s) = 0.
-8, 6/11
Let w(g) be the second derivative of g**7/210 - 2*g**6/45 - g**5/6 - g**3/6 - 29*g**2 - 19*g + 1. Let t(z) be the second derivative of w(z). Factor t(o).
4*o*(o - 5)*(o + 1)
Let h(t) be the third derivative of -t**8/15680 + t**6/560 + t**5/140 - 5*t**4/2 - 5*t**2 - t. Let m(w) be the second derivative of h(w). Factor m(o).
-3*(o - 2)*(o + 1)**2/7
Let b(v) be the third derivative of -20*v**2 - 4 + 0*v + 1/15*v**4 - 11/45*v**3 - 1/450*v**5. Suppose b(s) = 0. What is s?
1, 11
Determine m so that -8/15*m + 0 + 8/15*m**3 + 2/15*m**2 - 2/15*m**4 = 0.
-1, 0, 1, 4
Let y = -41 + 68. Let g be 12/(-10)*30/(-18). Solve -8*l**3 - y*l**2 + 5*l**2 - l**4 + 3*l**4 + 14*l**g + 2*l**5 = 0.
-2, -1, 0, 2
Let d(u) = 2*u + 13. Let c be d(-4). Suppose c = -3*o + 8*o. Factor 1 + o + 5*k**2 - 7.
5*(k - 1)*(k + 1)
Let w(r) = 4*r**2 + 464*r + 1066. Let g(j) = j**2 + 93*j + 215. Let o(b) = 14*g(b) - 3*w(b). Factor o(h).
2*(h - 47)*(h + 2)
Suppose 298 = -657*m + 7119*m - 25550. Factor 33/7*w - 5/7*w**3 - 11/7*w**2 + 1/7*w**m - 18/7.
(w - 6)*(w - 1)**2*(w + 3)/7
Let r(f) be the second derivative of f**4/9 + 116*f**3/9 + 480*f**2 - 13994*f. Solve r(m) = 0 for m.
-40, -18
Let -8/3*f**2 - 4/3*f**3 + 16/3*f + 0 + 2/3*f**4 = 0. Calculate f.
-2, 0, 2
Factor 8/3*u**2 + 212 + 436/3*u.
4*(u + 53)*(2*u + 3)/3
Suppose 267 = 20*l - 173. Let c(b) be the first derivative of 11*b**4 - 8*b + 8/3*b**3 + 15 - l*b**2. Factor c(q).
4*(q - 1)*(q + 1)*(11*q + 2)
Let l(m) be the third derivative of -m**5/180 - 35*m**4/24 + 53*m**3/9 - 2940*m**2. Factor l(n).
-(n - 1)*(n + 106)/3
Let m = -1056/5 - 2219/30. Let i = -285 - m. Factor 1/6 - 1/6*r**3 + i*r - 1/6*r**2.
-(r - 1)*(r + 1)**2/6
Determine k, given that 3786/11*k - 1260/11 - 2538/11*k**2 + 12/11*k**3 = 0.
1/2, 1, 210
Suppose -557*x - 228 + 530 + 1369 = 0. Factor 0 + 5/3*p**x + 3125/3*p + 250/3*p**2.
5*p*(p + 25)**2/3
Let m(w) be the third derivative of 13*w**7/630 - 17*w**6/90 + 113*w**5/180 - 29*w**4/36 + 864*w**2 - 2*w. Determine x so that m(x) = 0.
0, 1, 2, 29/13
Let s = 619 + -428. Suppose -u + 73 = x, 5*u - 2*u - 219 = 5*x. Let 93*m + 5*m**2 - s*m + u*m = 0. Calculate m.
0, 5
Let s(r) be the first derivative of -90*r - 5/3*r**3 - 55/2*r**2 - 28. Find g such that s(g) = 0.
-9, -2
Let h(x) = x**3 + 34*x**2 + 262*x - 21. Let s be h(-12). Factor 6/7*n**4 + 3/7*n**s + 0*n**2 + 0 + 3/7*n**5 + 0*n.
3*n**3*(n + 1)**2/7
Suppose 3*f + 21 = w + 7*f, -23 = -3*w - 2*f. Let m be 2 + w - 25/5. Suppose 9/4*z**3 - 9/4*z - 3/4*z**m + 3/4 = 0. Calculate z.
-1, 1/3, 1
Let f(x) be the second derivative of -x**4/36 - 10*x**3/9 - 19*x**2/6 - 868*x. Find k such that f(k) = 0.
-19, -1
Let d(u) be the first derivative of u**6/15 - 4*u**5/25 - 39*u**4/10 + 16*u**3/3 + 80*u**2 + 1127. Solve d(s) = 0.
-4, 0, 5
Let l = 77 - 81. Let p(d) = -21*d**3 + 183*d**2 + 54*d - 4. Let w(m) = 105*m**3 - 915*m**2 - 270*m + 21. Let y(h) = l*w(h) - 21*p(h). Solve y(u) = 0.
-2/7, 0, 9
Let r(g) be the first derivative of g**6/660 - g**5/110 - g**4/33 - 43*g**2/2 + g - 233. Let i(v) be the second derivative of r(v). What is t in i(t) = 0?
-1, 0, 4
Let n(y) be the first derivative of 0*y - 9/130*y**5 + 9 + 3*y**2 + 2/39*y**3 + 1/52*y**4. Let h(d) be the second derivative of n(d). Factor h(k).
-2*(3*k - 1)*(9*k + 2)/13
Let b(i) = 9*i**5 - 312*i**4 + 303*i**3 + 231*i**2 - 21*i. Let x(n) = 2*n**5 - 78*n**4 + 76*n**3 + 55*n**2 - 5*n. Let q(c) = 5*b(c) - 21*x(c). Factor q(u).
3*u**3*(u - 1)*(u + 27)
Let p(m) be the first derivative of m**5/5 + 17*m**4/2 - 12*m**3 - 17*m**2 + 35*m + 961. Factor p(o).
(o - 1)**2*(o + 1)*(o + 35)
Factor -19220*g**2 - 1054*g**3 + 3694084/5 - 24*g**4 - 89373*g - 1/5*g**5.
-(g - 4)*(g + 31)**4/5
Solve 2/3*r**5 - 116/15*r**4 - 256/15*r**2 + 362/15*r**3 - 56/5*r + 0 = 0.
-2/5, 0, 2, 3, 7
Let z(r) be the first derivative of 0*r - 1/12*r**4 + 2/15*r**5 - 2/3*r**3 + 14 + 1/20*r**6 + 14*r**2. Let s(k) be the second derivative of z(k). Factor s(y).
2*(y + 1)**2*(3*y - 2)
Let h(j) be the second derivative of -j**7/42 + 13*j**6/6 + 67*j**5/10 - 381*j. Factor h(r).
-r**3*(r - 67)*(r + 2)
Let n(j) be the first derivative of 297910*j**4 - 96100*j**3 + 11625*j**2 - 625*j - 2120. Factor n(b).
5*(62*b - 5)**3
Let r(b) = 7*b + 53. Let g be r(-7). Suppose 2*z - 3*z + g*l = -22, 3*l = -2*z - 11. Determine c so that 4/7*c**z + 0 - 2/7*c**5 + 0*c**4 + 0*c + 6/7*c**3 = 0.
-1, 0, 2
Let m(b) = -3*b**3 + b + 2. Suppose 5*q = z - 12 + 40, 0 = 2*z - 2*q + 64. Let t(y) = 16*y**3 - 4*y - 10. Let g(d) = z*m(d) - 6*t(d). Factor g(v).
3*(v - 2)*(v + 1)**2
Let n(t) be the first derivative of 18/11*t + 0*t**2 - 229 - 2/33*t**3. What is u in n(u) = 0?
-3, 3
Let h = -416 + 1250/3. Let u = -1/6 + h. Determine g so that -4/3*g - u*g**2 + 1/2 = 0.
-3, 1/3
Suppose -3*c - 77 = r - 83, -10 = -5*r - 5*c. Let b(d) be the first derivative of 10 + 4/5*d**3 + 4/5*d**2 + r*d. Factor b(a).
4*a*(3*a + 2)/5
Factor -1215*z + 3*z**3 - 4 + 432 - 45 + 603*z**2 + 226.
3*(z - 1)**2*(z + 203)
Let p(b) be the first derivative of 85*b**6/6 + 31*b**5 - 975*b**4/4 + 1145*b**3/3 - 205*b**2 + 9948. Factor p(c).
5*c*(c - 1)**3*(17*c + 82)
Let x(f) be the second derivative of -1/35*f**5 - 325/21*f**3 + 9*f - 2 - 169/14*f**2 + 103/84*f**4. Factor x(d).
-(d - 13)**2*(4*d + 1)/7
Determine q, given that 137*q - 135 - 8688*q**3 - 1437*q**2 - 1758*q - 64*q**4 - 5055*q**2 = 0.
-135, -1/4
Let a = -553 + 556. Solve -a*s**2 + 4*s**2 - 37*s - 63*s + 138*s + 72 = 0 for s.
-36, -2
Let q be (3 - 1)*4/(-8). Let c(a) = 36*a**2 - 286*a - 58. Let y(m) = -8 - m - 7 + 16. Let p(n) = q*c(n) + 6*y(n). Factor p(h).
-4*(h - 8)*(9*h + 2)
Let f(h) be the second derivative of -h**5/70 + 53*h**4/21 + 215*h**3/21 + 108*h**2/7 - 60*h. Factor f(r).
-2*(r - 108)*(r + 1)**2/7
Factor 1/6*v**3 - 5/2*v**2 + 0 + 0*v.
v**2*(v - 15)/6
Let j = 9/20 + 133/60. Let a(l) be the first derivative of j*l**3 + 9 - 4*l + 7*l**2. Determine b, given that a(b) = 0.
-2, 1/4
Let h(l) be the third derivative of -l**6/660 + 6*l**5/55 + 115*l**4/132 + 26*l**3/11 + 10*l**2 - 43. Factor h(g).
-2*(g - 39)*(g + 1)*(g + 2)/11
Let r(s) be the third derivative of -1/180*s**5 + 35*s**2 + 0*s + 11/9*s**4 - 968/9*s**3 + 2. Suppose r(y) = 0. What is y?
44
Let u = -4553/8 - -13703/24. Let o(p) be the third derivative of 0 + 25*p**2 + 16/15*p**5 + 4/3*p**3 + 0*p + 7/30*p**6 + u*p**4. Factor o(q).
4*(q + 1)**2*(7*q + 2)
Find z such that 2/15*z**2 + 682112/15 + 2336/15*z = 0.
-584
Let v(l) be the first derivative of 2*l**3/27 - 11*l**2/9 - 28*l/3 - 2077. Determine y so that v(y) = 0.
-3, 14
Suppose 5*p - 5*z = -27 + 67, p = 5*z. Factor -7 - 14 - v**2 + 13 - p*v - 13.
-(v + 3)*(v + 7)
Let t = -7242 + 7248. Let d(z) be the first derivative of -1/13*z**2 + 0*z - 1/39*z**t + 0*z**5 + 1/13*z**4 + 0*z**3 - 39. Suppose d(f) = 0. What is f?
-1, 0, 1
Let l = 7 + 11. Let b be 190/45 + -4 + 32/l. Factor 2*n - b*n + 6*n**2 + 19*n**3 - 17*n**3.
2*n**2*(n + 3)
Let g(b) = b**3 - 21*b**2 + 44*b - 41. Let l be g(19). Let h = l - 63. Factor 3*q**2 + 6*q**3 + h*q**3 - 11*q**3 - 18*q**2 + 20.
5*(q - 2)**2*(q + 1)
Find c such that -1553/4*c**2 + 0 + 1239/4*c**3 - 1/4*c**5 + 311/2*c - 307/4*c**4 = 0.
-311, 0, 1, 2
Let g(p) be the first derivative of -3*p**4/16 + 33*p**3 + 201*p**2/2 - 7464. Let g(u) = 0. What is u?
-2, 0, 134
Let b(x) = 5*x**2 + 46*x - 51. Let a(k) = k**2 - 15*k + 30. Let h be a(8). Let o(i) = -21*i**2 - 184*i + 205. Let w(y) = h*b(y) - 6*o(y). Factor w(g).
-4*(g - 1)*(g + 24)
Let x(u) be the second d