4/8 - 26*d**3/3 - 145*d**2/3 - 32*d + 686. Suppose l(s) = 0. What is s?
-48, -1, -2/5, 2
Let s(b) be the second derivative of -b**9/33264 + b**7/4620 - b**5/1320 + 22*b**3/3 + 14*b + 3. Let i(m) be the second derivative of s(m). Factor i(o).
-o*(o - 1)**2*(o + 1)**2/11
Let p be (-5362)/(-16086) - (-1)/15. Suppose -22/5*i - p*i**2 + 0 + 22/5*i**3 + 2/5*i**4 = 0. What is i?
-11, -1, 0, 1
Let l(y) be the third derivative of y**2 + 0*y + 4 - 8/3*y**3 + 1/60*y**5 + 0*y**4. Factor l(b).
(b - 4)*(b + 4)
Let c = 519 + -352. Factor 56*a**3 + 9*a + 55*a**3 + 6 + 53*a**3 - c*a**3.
-3*(a - 2)*(a + 1)**2
Let n(r) = 34*r**2 + 90*r + 98. Let f be ((-440)/45 - 4/18)/2. Let a(b) = 12*b**2 + 30*b + 33. Let x(u) = f*n(u) + 14*a(u). Solve x(d) = 0 for d.
-14, -1
Let h be (336/15)/((-176)/(-110)) - (-1 + 15). Find o such that -10/9*o**2 - 2/9*o**3 + 0 + h*o = 0.
-5, 0
Let m = 35008 + -34981. Let v(h) be the second derivative of 10/39*h**3 + 1/78*h**4 + 0 + 25/13*h**2 - m*h. Determine d, given that v(d) = 0.
-5
Let i(g) be the second derivative of -g**4/2 + 23*g**3/2 - 135*g**2/2 + 66*g. Factor i(z).
-3*(z - 9)*(2*z - 5)
Let l(j) be the first derivative of j**4 + 100*j**3/3 + 414*j**2 + 2268*j + 1526. Find a such that l(a) = 0.
-9, -7
Let f(i) = -4*i**4 - 576*i**3 + 12*i**2 + 576*i + 8. Let c(r) = -r**4 + 2*r**2 + 1. Let q(s) = -8*c(s) + f(s). Factor q(d).
4*d*(d - 144)*(d - 1)*(d + 1)
Solve 57/4*i**2 - 3/4*i**3 - 165/4*i - 225/4 = 0 for i.
-1, 5, 15
Suppose 0 = -0*f + 2*f - 2*w - 14, -w = 2*f - 2. Let a be f/(-90)*-172 - (-2)/(-5). Let -28/3*r**2 + 6*r**4 - 10*r**3 + 8*r + a = 0. What is r?
-2/3, 1, 2
Let a(l) be the first derivative of -2*l**6/3 + 32*l**5 - 457*l**4/4 + 487*l**3/3 - 223*l**2/2 + 37*l - 161. Find s such that a(s) = 0.
1/2, 1, 37
Let u(s) be the first derivative of 5/3*s**3 + 25/2*s**2 + 20*s - 175. Factor u(x).
5*(x + 1)*(x + 4)
Let a be -5 + 3 + (3264/(-640))/((-6)/35). Suppose -99/4*c**2 - 21/2 + a*c - 3/4*c**4 + 33/4*c**3 = 0. What is c?
1, 2, 7
Let o be (-1)/((3*-1)/3). Let r = -1/3831 + 19157/7662. What is x in -r*x**2 + o - 3/2*x = 0?
-1, 2/5
Let i(p) be the first derivative of p**6/180 - p**5/30 - 2*p**4/3 - 100*p**3/3 - 87. Let w(j) be the third derivative of i(j). Factor w(l).
2*(l - 4)*(l + 2)
Let j(z) = 16*z**3 - 54*z**2 - 55*z. Let a(l) = 54*l**3 - 162*l**2 - 166*l. Let w(i) = 3*a(i) - 10*j(i). Factor w(d).
2*d*(d + 1)*(d + 26)
Let w(f) be the first derivative of -f**6/54 + f**5 + 97*f**4/36 - 137*f**3/27 - 32*f**2/3 + 188*f/9 + 1288. What is z in w(z) = 0?
-2, 1, 47
Determine y, given that -3/7*y**2 + 0 - 3/7*y**4 - 12/7*y**3 + 18/7*y = 0.
-3, -2, 0, 1
Determine u, given that 39/4*u**3 - 3/4*u**4 + 201/4*u - 21 - 153/4*u**2 = 0.
1, 4, 7
Let 0*g + 0 - 8/15*g**4 - 2/3*g**3 - 4/15*g**2 - 2/15*g**5 = 0. What is g?
-2, -1, 0
Let m(h) = -h**4 - 8*h**3 - 96*h**2 - 23*h + 110. Let f(p) = 2*p**3 + 24*p**2 + 6*p - 28. Suppose 0 = -15*a - 41 + 11. Let v(s) = a*m(s) - 9*f(s). Factor v(n).
2*(n - 4)*(n - 1)*(n + 2)**2
Let m(v) = 2*v**3 - 21*v + 1. Let j(w) = -5*w**3 - 81*w**2 - 2145*w - 19685. Let r(s) = -2*j(s) - 4*m(s). Factor r(o).
2*(o + 27)**3
Let r be -1 - -4*18/24. Solve 149 - r*g**2 - 6*g**3 - g**2 - 12*g**2 + 42*g - 125 = 0.
-4, -1/2, 2
Let a be 4/(-14)*(-1512)/192. Determine i so that a + 21/8*i**3 - 39/4*i**2 + 39/8*i = 0.
-2/7, 1, 3
Let x = -12 - -14. Suppose 3*d + 21 = 51. Factor -60*g + d*g**2 + 17*g**x - 300 - 30*g**2.
-3*(g + 10)**2
Let y(l) be the second derivative of -1/18*l**4 + 1/3*l**3 + 1/180*l**6 + 0*l**2 + 5*l - 1/40*l**5 + 11. Suppose y(j) = 0. What is j?
-2, 0, 2, 3
Let c be (3*10446/(-24))/6. Let l = 218 + c. Suppose l*j**2 - 1/4*j - 1/8 = 0. Calculate j.
-1/3, 1
Let x(a) be the third derivative of 5*a**8/336 - 2*a**7/21 - 5*a**6/12 + 7*a**5/3 - 25*a**4/8 + 51*a**2 - 26*a. Factor x(w).
5*w*(w - 5)*(w - 1)**2*(w + 3)
Let a(o) be the third derivative of 0*o + 1/12*o**6 + 1/105*o**7 - 7/30*o**5 - 5/12*o**4 - 43 + o**2 + 2*o**3. Solve a(s) = 0 for s.
-6, -1, 1
Let b(i) be the first derivative of i**4/18 + 368*i**3/27 + 980*i**2 + 7200*i - 2590. Let b(w) = 0. Calculate w.
-90, -4
Let o(m) be the third derivative of -49*m**7/10 + 20139*m**6/10 - 3444*m**5 + 2458*m**4 - 936*m**3 - 2*m**2 + 190. Determine q so that o(q) = 0.
2/7, 234
Let p = 54 + -54. Let o be (5 - p/1) + (-13 - -10). Factor -a**2 - 2*a**2 - 3*a**5 + 10*a**o - a**2 + 9*a**3.
-3*a**2*(a - 2)*(a + 1)**2
Let q(y) be the second derivative of -y**4/12 + 105*y**3 - 628*y**2 - 4301*y. Factor q(x).
-(x - 628)*(x - 2)
Let i = -4721278/5 - -944259. Determine w, given that w**4 - i*w**3 + 0*w + 0 + 6/5*w**2 = 0.
0, 2/5, 3
Let n(b) = -2*b**2 - 470*b + 18295. Let s be n(34). Factor 1 - 1/4*u**2 - 7*u + 7/4*u**s.
(u - 2)*(u + 2)*(7*u - 1)/4
Let c = 78286 - 78284. Factor 1/7*t**4 + 0*t - 1/7*t**c + 0 + 0*t**3.
t**2*(t - 1)*(t + 1)/7
Let b be -5 + (-516)/(-112) + 7 + 0 - (-12)/48. Factor -18/7*l**2 + 36/7*l + b - 6/7*l**3.
-6*(l - 2)*(l + 1)*(l + 4)/7
Let b(a) = -2*a**3 + 14*a**2 - 4*a + 2. Let w(g) = 2*g**3 - 19*g**2 + 6*g - 3. Let c(f) = 6*b(f) + 4*w(f). Determine k, given that c(k) = 0.
0, 2
Let l(u) be the third derivative of u**5/80 + 251*u**4/8 + 63001*u**3/2 + 2978*u**2. Find y, given that l(y) = 0.
-502
Suppose 206*r - 2*s - 10 = 204*r, 3*r = 2*s + 10. Let y(q) be the first derivative of -1/8*q**3 + 0*q**2 + r*q + 25 + 3/32*q**4. Factor y(o).
3*o**2*(o - 1)/8
Let z(u) = 15*u - 399. Let m be z(27). Let p(i) be the first derivative of -1/2*i**3 - m*i - 15/4*i**2 + 5. Factor p(b).
-3*(b + 1)*(b + 4)/2
Suppose 13*f + 34*f - 30 - 130 = 15*f. Factor 0 - 8/9*g - 22/9*g**2 - 2/9*g**4 + 2/9*g**f - 2*g**3.
2*g*(g - 4)*(g + 1)**3/9
Let c be 1/(145/35 + -4)*-1. Let y(n) = -11*n - 74. Let o be y(c). Find k, given that -2/3*k**5 + 0*k**4 + 2/3*k**o + 0 + 0*k + 0*k**2 = 0.
-1, 0, 1
Let m(v) be the first derivative of -v**3 - 42*v**2 + 1131. Determine b so that m(b) = 0.
-28, 0
Let m(w) = 9*w**4 + 484*w**3 + 8045*w**2 + 45454*w + 16. Let h(t) = -24*t**4 - 1290*t**3 - 21453*t**2 - 121212*t - 42. Let p(d) = 8*h(d) + 21*m(d). Factor p(g).
-3*g*(g + 14)*(g + 19)**2
Let s(v) be the second derivative of -v**4/4 - 181*v**3/2 + 1974*v**2 - 5160*v. Factor s(h).
-3*(h - 7)*(h + 188)
Let l(m) be the first derivative of -m**4/28 + 37*m**3/14 - 54*m**2/7 + 63*m + 277. Let g(s) be the first derivative of l(s). Factor g(u).
-3*(u - 36)*(u - 1)/7
Let q(g) = g**5 - g**4 - 9*g**3 - 7*g**2 + 4. Let l(i) = i**5 - 7*i**3 - 6*i**2 + 3. Let t(j) = 4*l(j) - 3*q(j). Factor t(u).
u**2*(u - 1)*(u + 1)*(u + 3)
Suppose 5*l - v + 11 = 0, 10*v - 33 = -3*l + 7*v. Solve l + 0*d - 3/2*d**3 + 3/4*d**4 + 3/4*d**2 = 0.
0, 1
Let z = 2/6591 - -93738/2197. Factor 31/6*w**2 - 1/6*w**3 - z - 112/3*w.
-(w - 16)**2*(w + 1)/6
Determine k so that -6887 - 2833 + 9115*k - 5*k**2 + 610*k = 0.
1, 1944
Let s(t) = -2*t**2 + 6*t + 116. Let k = -498 + 492. Let y be s(k). Determine a, given that -18*a**3 + 0 + y*a**2 + 6*a**5 + 8/3*a + 4/3*a**4 = 0.
-2, -2/9, 0, 1
Let k(o) = 3*o**3 - 7042*o**2 + 5503696*o - 1434635300. Let n(y) = -6*y**3 + 14085*y**2 - 11007387*y + 2869270599. Let h(m) = 9*k(m) + 4*n(m). Factor h(s).
3*(s - 782)**3
Let a be ((-8)/(-72)*0*1)/(-1 + 0). Factor 0*m**2 + a - 2/9*m**3 + 0*m.
-2*m**3/9
Let o(s) = -12*s**3 - 12*s**2 - 5*s + 54. Let m(z) = -14*z**3 - 12*z**2 - 6*z + 52. Let v(y) = -5*m(y) + 6*o(y). Factor v(n).
-2*(n - 2)*(n + 4)**2
Let b(v) be the first derivative of -35/3*v**3 + 5/4*v**4 - 23 + 10*v**2 + 60*v. Factor b(w).
5*(w - 6)*(w - 2)*(w + 1)
Suppose 72*z - 69*z = -756. Let n be (-490)/z - (-9)/(-6). Suppose -n*m**3 + 8/9*m**2 + 0 - 4/9*m = 0. What is m?
0, 1
Let z be 4/5 - (33 + (-3078)/95). Factor z*c**3 + 0*c + 3/5*c**2 - 4/5.
(c - 1)*(c + 2)**2/5
Let m be ((-3)/16)/(1395/(-1116)). Let r(a) be the second derivative of 1/4*a**4 + m*a**5 + 2*a + 0*a**2 - a**3 + 0. Determine s so that r(s) = 0.
-2, 0, 1
Let l = -216 + 288. Factor 4*z**2 + 24*z + 4*z + 18*z - 10*z + l.
4*(z + 3)*(z + 6)
Suppose 10*m = -25*m - 30275. Let x = -6046/7 - m. Factor -x*u**2 + 2/7 - 5/7*u**3 + u**4 + 5/7*u.
(u - 1)**2*(u + 1)*(7*u + 2)/7
Suppose 0 = 3*q, -u + 7*q - 3*q = 9. Let p be 36/u + (-34)/(-2). Factor 4*a - p*a + 13*a**2 - 16*a**2.
-3*a*(a + 3)
Let l(r) be the first derivative of r**7/1050 + 7*r**6/600 + r**5/20 + 3*r**