, 4
Let g(d) be the first derivative of 2*d**5/25 + 7*d**4/10 + 22*d**3/15 + d**2 - 854. What is l in g(l) = 0?
-5, -1, 0
Let y = -116 + 216. Let k = y - 97. Factor -5*c - 2*c**2 - 5*c**k + 7*c + 3*c**3 + 6*c**2 - 4.
-2*(c - 2)*(c - 1)*(c + 1)
Let z(w) be the second derivative of w**5/5 + 11*w**4/3 + 16*w**3 - 72*w**2 - 4*w + 225. Factor z(m).
4*(m - 1)*(m + 6)**2
Let q be (6/(1440/(-5)))/((-20)/100). Let g(z) be the second derivative of -22*z - 1/8*z**2 + 0 + 3/160*z**5 + 1/24*z**4 - q*z**3. Find s, given that g(s) = 0.
-2, -1/3, 1
Let l(o) be the first derivative of 2/15*o**3 + 18/5*o + 2*o**2 + 77. Factor l(a).
2*(a + 1)*(a + 9)/5
Let a be 4 - (0 + 25 + -23). Determine z, given that 0 + 10/7*z**a - 2/7*z**3 + 12/7*z = 0.
-1, 0, 6
Let g = -54/1609 + 3488/8045. Factor 2/5*n**2 + 0 - g*n.
2*n*(n - 1)/5
Let n(h) be the first derivative of 1/8*h**4 - 1/10*h**5 + 0*h + 68 + 1/3*h**3 + 0*h**2. Determine m so that n(m) = 0.
-1, 0, 2
Determine b so that -1/4*b**3 + 3*b + 5/4*b**2 - 9 = 0.
-3, 2, 6
Let q(i) be the first derivative of 0*i + 1/10*i**4 + 8/15*i**3 + 79 - i**2. Factor q(w).
2*w*(w - 1)*(w + 5)/5
What is w in -1650/13*w + 42/13*w**2 + 10406/13 + 2/13*w**3 = 0?
-43, 11
Let t(y) be the third derivative of -11 + y**2 - 1/15*y**5 + 0*y + 3*y**4 + 0*y**3. Let t(x) = 0. Calculate x.
0, 18
Let x = 362 - 354. Solve 96*w**2 - 25*w**2 - 13*w**2 + 15*w**3 - 30 + 5*w - x*w**2 = 0.
-3, -1, 2/3
Suppose 884*d = -39*d - 1087*d + 7343 - 1313. Let -16/5 + 19/5*r**d + 12/5*r**2 - 4*r + r**4 = 0. Calculate r.
-2, -4/5, 1
Let u(n) = 605*n**3 - 2425*n**2 - 5670*n + 195. Let o(p) = 112*p**3 - 449*p**2 - 1050*p + 36. Let i(v) = -65*o(v) + 12*u(v). Factor i(f).
-5*f*(f - 6)*(4*f + 7)
Let n(a) = 17*a**2 + 957*a - 224640. Let m(s) = -2*s**2 - s - 4. Let p(d) = 9*m(d) + n(d). Determine c, given that p(c) = 0.
474
Determine d, given that -3*d + d**2 - 243*d**3 + 57 - 58*d**2 - 263*d**3 + 509*d**3 = 0.
-1, 1, 19
Let s = -70 + 74. Suppose 2*x - 2*b - 10 = b, 3*x + 2 = -s*b. Factor 0*f**x + f**2 + 0*f**2.
f**2
Let w be (-2)/(-10) + 2 + (-64)/(-5). Factor 6*z**2 + 15*z - 18*z**2 + w*z**2.
3*z*(z + 5)
Suppose 44*l - 39*l - 5 = 0. Let w(h) = -7*h**3 + 11*h**2 - 30*h - 3. Let k(q) = -2*q**3 - 2*q**2 - 1. Let v(n) = l*w(n) - 3*k(n). Solve v(m) = 0.
0, 2, 15
Let y(f) be the first derivative of -25/2*f**3 + 9/2*f**2 + 24*f - 1/4*f**6 + 2 - 15/8*f**4 + 27/10*f**5. Determine h, given that y(h) = 0.
-1, 1, 2, 8
Let n = -92 - -140. Determine g, given that -82 + 55*g + n*g - 12*g**2 + 2 + 25*g = 0.
2/3, 10
Let d(y) be the second derivative of y**6/120 + y**5/80 - 271*y**4/16 - 1625*y**3/24 - 203*y**2/2 + 447*y + 2. Suppose d(q) = 0. What is q?
-28, -1, 29
Let q(i) be the third derivative of 3*i**6/8 - 11*i**5/12 - 445*i**4/12 + 100*i**3/3 + 417*i**2 - 2*i. Determine k so that q(k) = 0.
-4, 2/9, 5
Let d(i) be the third derivative of 0*i - 1/140*i**5 + 0 + 0*i**4 + 0*i**3 + 30*i**2 + 1/140*i**6 + 4/245*i**7. Suppose d(z) = 0. Calculate z.
-1/2, 0, 1/4
Suppose 12*i - 9*i + 3 = 0, 2*m = 3*i + 11. Suppose 19*d - 10 - 64 - 31*d + 2 + m*d**2 = 0. Calculate d.
-3, 6
Factor -3/8*s**2 - 873 + 2337/8*s.
-3*(s - 776)*(s - 3)/8
Let f = 849956 + -849952. Find q such that 0*q - 4/3*q**f - 4/3*q**2 + 0 + 8/3*q**3 = 0.
0, 1
Let i = -72 + 74. Let t(x) = -x**2 + 3*x. Let a be t(i). Factor -64*p - 69*p - p**a + 131*p.
-p*(p + 2)
Let y = -13318 + 21150. Factor -3932*d**2 + 2*d**4 + 44 - 3946*d**2 + y*d**2 + 42*d - 42*d**3.
2*(d - 22)*(d - 1)*(d + 1)**2
Factor -1/5*o**4 - 41/5*o**2 - 47/5*o - 13/5*o**3 - 18/5.
-(o + 1)**2*(o + 2)*(o + 9)/5
Let f(x) be the third derivative of -x**9/45360 + x**7/840 - 11*x**4/3 + x**3/2 - 11*x**2 + 6*x. Let u(z) be the second derivative of f(z). Factor u(p).
-p**2*(p - 3)*(p + 3)/3
Let s(n) be the third derivative of 3*n**8/56 - 43*n**7/105 - 307*n**6/60 + 209*n**5/10 - 103*n**4/6 - 80*n**3/3 + 3837*n**2. Let s(g) = 0. What is g?
-5, -2/9, 1, 8
Let z(g) = 9*g**3 + 20*g**2 + 3*g - 40. Let s(u) = -20*u**3 - 36*u**2 - 7*u + 81. Let k(b) = 4*s(b) + 9*z(b). Factor k(a).
(a - 1)*(a + 1)*(a + 36)
Let c(i) = 5*i**3 - 106*i**2 - 565*i - 808. Let a(m) = -19*m**3 + 317*m**2 + 1694*m + 2423. Let g(j) = -2*a(j) - 7*c(j). Determine w so that g(w) = 0.
-30, -3
Let z(r) be the third derivative of -1/60*r**5 + 66*r**2 - 1/6*r**4 + 0*r - 2 + 0*r**3. Determine y, given that z(y) = 0.
-4, 0
Let v(u) be the third derivative of -25*u**8/12 + 104*u**7/21 + 239*u**6/10 + 254*u**5/15 - 26*u**4/3 - 16*u**3 - 842*u**2 + u. Solve v(m) = 0 for m.
-1, -2/5, 2/7, 3
Let x(m) be the second derivative of 7*m**6/90 - m**5/6 - m**4/3 + 167*m**3/6 - 227*m. Let i(l) be the second derivative of x(l). Factor i(u).
4*(u - 1)*(7*u + 2)
Let q(o) = -7*o**2 - o - 1. Let t be q(1). Let c(j) = -j**2 - 11*j - 16. Let x be c(t). Factor -2*d**3 - d**x + 0*d**3 + d**4 + 20 - 20 + 2*d.
d*(d - 2)*(d - 1)*(d + 1)
Let i(l) be the second derivative of l**4/24 + 47*l**3/12 - 12*l**2 + 57*l - 8. Factor i(f).
(f - 1)*(f + 48)/2
Factor -274*b**3 + 273*b**3 + 3*b + 2*b + 62 + 15*b**2 + 86*b + 13*b**2.
-(b - 31)*(b + 1)*(b + 2)
Let m(a) be the third derivative of 9 - 13/24*a**4 + 0*a + a**2 - 7/3*a**3 + 1/60*a**5. Factor m(c).
(c - 14)*(c + 1)
Suppose 0 = 5*t + 2 - 12. Let h = -7145/738 + 885/82. Suppose 8/9*x - 16/9*x**t + 0 - 2/9*x**4 + h*x**3 = 0. Calculate x.
0, 1, 2
Let m(j) = -11*j**4 - 301*j**3 - 451*j**2 - 23*j + 23. Let d(z) = 3*z**4 + 75*z**3 + 114*z**2 + 6*z - 6. Let l(h) = 23*d(h) + 6*m(h). Solve l(b) = 0.
-1, 0, 28
Let l(k) be the third derivative of -17/15*k**3 + 0 + 0*k - 23*k**2 - 1/150*k**5 - 3/10*k**4. Factor l(s).
-2*(s + 1)*(s + 17)/5
Let y = -69 + 121. Let u(k) = 3*k**3 - 40*k**2 + 14*k - 12. Let w be u(13). Factor y*o - 52*o + o**2 - w.
(o - 1)*(o + 1)
Determine r so that 2/3*r**5 - 682/3*r**3 + 1510/3*r**2 + 472/3 - 1408/3*r + 106/3*r**4 = 0.
-59, 1, 2
Let r(k) be the third derivative of -2*k**7/105 + 29*k**6/15 - 188*k**5/3 + 441*k**4 + 2430*k**3 - 2990*k**2. Suppose r(u) = 0. Calculate u.
-1, 5, 27
Let m(j) = -j + 1. Let l(y) = 3*y**2 + 21*y - 12. Let t(i) = -l(i) - 12*m(i). Factor t(a).
-3*a*(a + 3)
Let i = -22372/9 + 2486. Let n(u) be the first derivative of -1/3*u**2 - i*u**3 + 14 + 0*u. Factor n(z).
-2*z*(z + 1)/3
Let m = -280537 + 841613/3. Factor 10*f**2 + 0 + m*f**4 + 0*f + 16/3*f**3.
2*f**2*(f + 3)*(f + 5)/3
Let l(f) be the second derivative of 7*f - 9*f**2 - 1/18*f**4 + 0 - 28/9*f**3. Factor l(r).
-2*(r + 1)*(r + 27)/3
Determine k so that 0 + 12/11*k + 22*k**3 + 10*k**2 = 0.
-3/11, -2/11, 0
Let r(c) be the first derivative of c**6/3 - 52*c**5/5 + 12*c**4 + 52*c**3/3 - 25*c**2 - 3704. Find f such that r(f) = 0.
-1, 0, 1, 25
Let x be 0/(-2*(2 - (9 + -6))). Let v(a) be the third derivative of 1/180*a**5 - 1/630*a**7 - 1/72*a**4 + 1/360*a**6 - 3*a**2 + 0 + x*a**3 + 0*a. Factor v(t).
-t*(t - 1)**2*(t + 1)/3
Find g such that -32*g + 192 - 464/3*g**3 - 92/3*g**4 - 800/3*g**2 - 2*g**5 = 0.
-6, -2, 2/3
Suppose 180 = 3*r + 174. What is q in 48*q**2 - 28*q**3 + 31*q + 2*q**4 + 0 - 40*q - 64 + r*q**4 + 25*q = 0?
-1, 2, 4
Let y(l) = 730*l - 38690. Let h be y(53). Let 65/3*x**4 + 0*x**2 + h*x + 35/3*x**3 - 10/3*x**5 + 0 = 0. What is x?
-1/2, 0, 7
Let c = -1487 - -10421/7. Let s be (-4)/20 + (-176)/(-55). Factor -9/7*b**2 + 6/7*b**s + c - 12/7*b + 3/7*b**4.
3*(b - 1)**2*(b + 2)**2/7
Let z(k) be the first derivative of 5/4*k**4 + 585/2*k**2 + 100/3*k**3 - 187 + 810*k. Factor z(x).
5*(x + 2)*(x + 9)**2
Let a(h) = 9*h**4 + 404*h**3 + 366*h**2 - 1956*h + 1189. Let g(r) = -10*r**4 - 405*r**3 - 365*r**2 + 1955*r - 1190. Let n(i) = 5*a(i) + 4*g(i). Factor n(x).
5*(x - 1)**2*(x + 3)*(x + 79)
Let s = -320 - -321. Let z be 3 + 0/s + (-20)/12. Factor -2/3*d + 0*d**3 + z*d**2 + 2/3*d**5 + 0 - 4/3*d**4.
2*d*(d - 1)**3*(d + 1)/3
Let o(d) be the third derivative of d**5/240 - 7*d**4/24 + 25*d**3/8 + 200*d**2. Factor o(r).
(r - 25)*(r - 3)/4
Let l(i) be the first derivative of -2*i**3/3 - 25*i**2 - 308*i + 1332. Factor l(m).
-2*(m + 11)*(m + 14)
Let w = -2364 + 768301/325. Let d = w - -968/2275. Suppose 0*i + 0 + d*i**2 = 0. What is i?
0
Determine g so that 2178*g - 2244*g**2 - 1/2*g**4 + 133/2*g**3 + 0 = 0.
0, 1, 66
Suppose 0 = -188*k + 183*k + 1295. Let o = -257 + k. Factor -9/4*p + 3/8*p**o + 0.
3*p*(p - 6)/8
Let v = 114/