e second derivative of -m**8/2856 + m**7/1785 - 46*m**2 - 62*m - 2. Let y(g) be the first derivative of j(g). Determine q, given that y(q) = 0.
0, 1
Let w(l) be the first derivative of 3*l**5/20 - 45*l**4/16 - 13*l**3 - 27*l**2/2 - 552. Factor w(k).
3*k*(k - 18)*(k + 1)*(k + 2)/4
Suppose 9*t - 105 = 3. Suppose 5*i = w + t, -6*w + 27 = 5*i - 2*w. Factor -8*k**i + 115*k - 111*k - 2*k**5 + 6*k**5.
4*k*(k - 1)**2*(k + 1)**2
Suppose -2604 = -38*u + 7*u. Find j, given that 2424*j**5 + 39*j**4 + 39 - 3*j - u*j**2 + 6*j**2 - 2427*j**5 + 6*j**3 = 0.
-1, 1, 13
Let l be 4/14 - 0 - 182/(-49). Factor 11*m**2 + m**2 - 34*m**3 + 4*m**l - 4 - 20*m - 12 + 54*m**3.
4*(m - 1)*(m + 1)**2*(m + 4)
Let q(m) be the first derivative of -m**3 - 4320*m**2 - 6220800*m - 5162. Factor q(b).
-3*(b + 1440)**2
Find o such that -212*o**5 - 65 + 257 - 96*o**3 + 16*o**4 + 617*o**5 - 368*o - 208*o**5 - 198*o**5 + 272*o**2 = 0.
2, 4, 6
Let y(c) = -c**3 + 9*c**2 - 6*c - 16. Let u be y(8). Let b be ((-892)/669)/((-2)/3). Factor -2/13*w**3 - 4/13*w**b + u + 0*w.
-2*w**2*(w + 2)/13
Let w(g) be the first derivative of -g**6/1440 + g**5/40 + 7*g**4/24 + g**3 - 3*g**2 + 6. Let f(j) be the third derivative of w(j). What is t in f(t) = 0?
-2, 14
Let n(w) = 3*w**3 + 3*w**2 + w - 6. Let m be n(2). Factor -14*c + m*c**2 + 13*c - 127*c**2 + 11*c.
-5*c*(19*c - 2)
Let t(f) be the second derivative of 27/14*f**3 + 0 - 65*f + 0*f**2 + 1/28*f**4. Factor t(i).
3*i*(i + 27)/7
Suppose 5*p = 3*g + 17, -4*g - p - 3656 = -3687. Let x(r) be the second derivative of -g*r**2 - 5/6*r**4 + 17/3*r**3 + 0 - 25*r. Factor x(f).
-2*(f - 3)*(5*f - 2)
Let h(l) be the second derivative of -l**5/10 - 3*l**4 - 29*l**3/3 + 48*l**2 + l - 13. Factor h(a).
-2*(a - 1)*(a + 3)*(a + 16)
Let n(x) be the second derivative of 1125721*x**5/4 + 5305*x**4/3 + 10*x**3/3 + 1360*x. Factor n(u).
5*u*(1061*u + 2)**2
Let c(o) = o**3 + 8*o**2 - 7*o + 14. Let n(r) = -4*r**2 - 1316 + 5*r**2 + 1317. Let b(x) = 3*c(x) - 24*n(x). Factor b(m).
3*(m - 2)*(m - 1)*(m + 3)
What is v in 0*v + 703/3*v**3 + 494209/6*v**2 + 1/6*v**4 + 0 = 0?
-703, 0
Factor -1/8*r - 1/8*r**2 + 0.
-r*(r + 1)/8
Let h(q) be the third derivative of q**5/20 + 81*q**4/8 - 405*q**3 - 2840*q**2. Solve h(u) = 0.
-90, 9
Let o(q) be the third derivative of -q**5/15 + 7*q**4/6 + 8*q**3 + 122*q**2. Let v(x) = x**2. Let h(u) = 2*o(u) + 12*v(u). Determine a, given that h(a) = 0.
-12, -2
Determine y, given that 4106*y**2 - 1043*y**5 - 933*y**5 + 5030*y**4 - 6035*y**3 + 401*y**5 - 303*y - 746*y**2 + 80 - 557*y = 0.
2/9, 2/5, 4/7, 1
Suppose -156 = 61*s + 1430. Let w(r) = 2*r + 56. Let y be w(s). Factor 2/9*d**5 + 8*d + 20/9*d**y + 0 + 40/3*d**2 + 74/9*d**3.
2*d*(d + 2)**2*(d + 3)**2/9
Let q = 1448294 + -7241468/5. Factor -16 - q*v**3 + 26/5*v**2 - 52/5*v.
-2*(v - 10)*(v - 4)*(v + 1)/5
Suppose 0 = 5*v + 680 + 145. Let g be v/60*8/(-2). Suppose -7*j**2 + 27*j**2 - 41*j + 28 + 4*j**3 - g*j = 0. What is j?
-7, 1
Let w = -799 + 715. Let n be (-7)/(-12) + (-14)/w. Factor -n + 3/4*b**2 - 3/4*b**3 + 3/4*b.
-3*(b - 1)**2*(b + 1)/4
Let p(t) = -25*t**2 - 30*t - 5. Let z be 2/(-8) - 11/4. Let d(v) = 50*v**2 + 60*v + 10. Let k = -2731 + 2726. Let x(i) = k*p(i) + z*d(i). Factor x(h).
-5*(h + 1)*(5*h + 1)
Let g(l) be the second derivative of 3*l**5/20 + 129*l**4/4 + 747*l**3/2 + 3321*l**2/2 + 2*l + 4. Find s, given that g(s) = 0.
-123, -3
Factor 924/5 + 180*g - 3/5*g**3 - 27/5*g**2.
-3*(g - 14)*(g + 1)*(g + 22)/5
Let d = 67679/7 - 9663. Solve -18/7*v**3 + 12/7 - 68/7*v**2 - d*v = 0 for v.
-3, -1, 2/9
Let s = 107/603 - -3/67. Let r = -6853 + 61681/9. Let 2/9*g**2 - r - s*g = 0. What is g?
-1, 2
Let d(t) be the third derivative of t**5/90 - 79*t**4/12 + 236*t**3/9 - 1192*t**2. Factor d(v).
2*(v - 236)*(v - 1)/3
Let -12*b**4 + 33*b**4 - 984*b**2 + 540 - 1938*b**3 + 5337*b**2 - 2976*b = 0. Calculate b.
2/7, 1, 90
Let y(n) be the first derivative of -104882*n**3/15 + 2748*n**2 - 360*n + 5575. Factor y(k).
-2*(229*k - 30)**2/5
Let j(l) be the second derivative of -l**4/20 + 422*l**3/5 - 267126*l**2/5 - 1250*l. Find i such that j(i) = 0.
422
Let q(x) be the second derivative of 3*x**5/20 + 47*x**4/28 - 5*x**3 + 24*x**2/7 + 4825*x - 1. Find z, given that q(z) = 0.
-8, 2/7, 1
Let n(z) be the second derivative of z**6/240 + 251*z**5/40 + 126503*z**4/48 + 41917*z**3/4 + 251001*z**2/16 - 2598*z. Determine m, given that n(m) = 0.
-501, -1
Let w be 0*3/6 - 0. Let z(b) be the third derivative of 0*b + 0*b**4 + 1/75*b**5 + 1/1050*b**7 + w*b**3 + 0 + 4*b**2 + 1/150*b**6. Factor z(u).
u**2*(u + 2)**2/5
Let f(z) = z**3 + z**2 - z + 1. Let l(g) = -10*g**3 + 62*g**2 - 38*g - 2426. Let c(o) = -6*f(o) - l(o). Factor c(d).
4*(d - 11)**2*(d + 5)
Suppose -5*x + 79 = 4*b + 45, 3*x = b. Factor -1/6*i**x - 7/6*i - 1.
-(i + 1)*(i + 6)/6
Let l be ((-7)/(-12) + (-23)/92)*6831/92. Let a(r) = -r**2 + 6*r + 3. Let y be a(6). Factor -l*c**y - 9/4*c**5 + 0 - 27/4*c**2 + 0*c - 57/4*c**4.
-3*c**2*(c + 3)**2*(3*c + 1)/4
Suppose 8*d - 4*d - s + 6849 = 0, -4*s - 6824 = 4*d. Let n = 1711 + d. Factor n + 2/5*y - 1/5*y**2.
-y*(y - 2)/5
Suppose -826/5*c**2 + 512/5*c + 208/5*c**3 + 72/5 + 34/5*c**4 = 0. What is c?
-9, -2/17, 1, 2
Determine t so that 13*t**3 + 5*t**2 - t**2 - 30*t**2 - t**5 + 14*t**2 = 0.
-4, 0, 1, 3
Let n(w) be the second derivative of -w**7/42 + w**6/30 + 49*w**5/20 - 49*w**4/12 - 653*w - 3. Factor n(b).
-b**2*(b - 7)*(b - 1)*(b + 7)
Factor 744/5*k + 0 + 174/5*k**2 - 3/5*k**3.
-3*k*(k - 62)*(k + 4)/5
Let s(b) be the first derivative of -5*b**6/33 - 6*b**5/5 - 23*b**4/11 + 16*b**3/11 + 2624. Suppose s(k) = 0. Calculate k.
-4, -3, 0, 2/5
Let d(b) = 2*b**2 + 26*b + 28. Let h be d(-1). Let x(y) be the first derivative of -25/4*y**h - 13 + 0*y - 5*y**2 + 35/3*y**3. Factor x(k).
-5*k*(k - 1)*(5*k - 2)
Let b = 1061289 - 1061286. Factor 1/6*c**4 - 2/3*c**b + 14/3*c - 5/3*c**2 - 5/2.
(c - 5)*(c - 1)**2*(c + 3)/6
Let y(i) be the first derivative of -2/3*i**3 - 1/3*i**4 - 4*i + 0*i**2 - 12. Let n(p) be the first derivative of y(p). Factor n(v).
-4*v*(v + 1)
Let s(w) be the third derivative of 47*w**5/60 + 35*w**4/3 - 2*w**3 + 2226*w**2. Factor s(n).
(n + 6)*(47*n - 2)
Factor -171*s - 697 + 2577 - 4*s**2 - 185*s.
-4*(s - 5)*(s + 94)
Let n(l) be the third derivative of -2 + 11/60*l**5 + 0*l - 1/2*l**4 - 1/210*l**7 - 16*l**2 + 1/60*l**6 - 6*l**3. Factor n(s).
-(s - 3)**2*(s + 2)**2
Suppose -i - o = -13, -7079*o = -5*i - 7078*o - 13. Factor 6/13*v**2 - 4/13*v + 0 - 2/13*v**4 + i*v**3.
-2*v*(v - 1)**2*(v + 2)/13
Suppose -16229 = -6*m + 8689. Determine a, given that -m - 10*a**3 - 15*a**4 - 5*a**5 + 4153 = 0.
-2, -1, 0
Suppose 4 = -15*u + 16*u, -4*f = 2*u - 36. Determine j, given that f*j - 83*j**2 - 88*j**2 + 172*j**2 = 0.
-7, 0
Let s(u) = -u**3 - 24*u**2 - 97*u - 39. Let o be s(-19). Let c be (1 - 0)*o*638/(-1276). Factor 0*x**3 + x**2 - x**4 + 0 + c*x**5 - 1/2*x.
x*(x - 1)**3*(x + 1)/2
Let u be (2 + (-1 - 0))*(-1267 + 1283) - 14. Factor 0 + 5*p**u - 24/5*p - 1/5*p**3.
-p*(p - 24)*(p - 1)/5
Suppose 10*z + 42 = -168. Let l = z + 32. Determine t, given that l*t**2 + 2/3 - 29/3*t**3 + 3*t**4 - 5*t = 0.
2/9, 1
Let h(b) = -10*b**2 - 18 - 24*b - 4*b**2 + 8*b**2. Let d(y) = y**3 + 19*y**2 + 71*y + 53. Let j(p) = -2*d(p) - 7*h(p). Suppose j(v) = 0. Calculate v.
-2, -1, 5
Solve 2/3*f**3 + 5/3*f + 11/2 - 19/6*f**2 = 0.
-1, 11/4, 3
Let 1215/2 + 5/6*u**2 + 45*u = 0. What is u?
-27
Let h(q) be the first derivative of q**3/5 + 288*q**2/5 + 940. Determine w, given that h(w) = 0.
-192, 0
Let f = -112221 - -1009990/9. Factor -f*b**2 + 8/9*b - 4/3.
-(b - 6)*(b - 2)/9
Let g(i) be the second derivative of i**6/30 - 5*i**5/4 - 7*i**4 - 12199*i. Factor g(a).
a**2*(a - 28)*(a + 3)
Let h(m) be the third derivative of 0*m - 1/180*m**4 + 0 + 1/25*m**5 - 1/9*m**3 - 157*m**2. Factor h(t).
2*(2*t + 1)*(9*t - 5)/15
Let p = 36800/7 - 294393/56. Factor 13/8*r - p*r**2 + 7/4.
-(r - 14)*(r + 1)/8
Suppose 2*b + 6 = u, 2*u - 3*b + 2 = 6*u. Let g(l) be the second derivative of -1/12*l**4 - 5/6*l**3 - u*l**2 + 0 + 15*l. Factor g(z).
-(z + 1)*(z + 4)
Let l be (-48 - -42) + (-39)/(-7) - (-135)/21. Let q(i) be the first derivative of -l*i - 3*i**3 - 35 - 21/2*i**2. Solve q(f) = 0.
-2, -1/3
Let i(v) be the second derivative of -v**8/1680 + v**6/180 + 47*v**4/3 + 23*v. Let d(a) be t