i**3 + 1312*i**2 - 4036*i - 5328. Let w(y) = 13*y**3 + 874*y**2 - 2691*y - 3552. Let f(p) = 5*r(p) - 8*w(p). Determine d, given that f(d) = 0.
-111, -1, 4
Let g(b) = -8*b**2 - 17*b - 2. Let d(c) = -100 + 3*c + 50 + 51 - c**2 + 2*c**2. Let q(k) = -21*d(k) - 3*g(k). Find w, given that q(w) = 0.
-1, 5
Let q = 22051/1428 + -369/476. Factor -4/3 - 121/3*j**2 - q*j.
-(11*j + 2)**2/3
Let n(j) be the third derivative of -84*j**2 + 0*j**3 - 1/720*j**6 - 11/360*j**5 + 0 - 5/72*j**4 + 0*j. Factor n(l).
-l*(l + 1)*(l + 10)/6
Factor -220/3*a + 2*a**3 - 326/3*a**2 + 0.
2*a*(a - 55)*(3*a + 2)/3
Let x(g) = 2*g + 91. Let t be x(19). Determine l, given that -326*l**2 - 20736 - 667*l**2 + 6912*l + 48*l**3 - l**4 + t*l**2 = 0.
12
Let l(d) = 48*d**2 - 664*d - 4623. Let v(x) = -65*x**2 + 885*x + 6165. Let y(k) = -15*l(k) - 11*v(k). Solve y(m) = 0.
-6, 51
Let j = -432 + 435. Suppose 20*k**2 + 14532 - 14532 - 20*k - 5*k**j = 0. What is k?
0, 2
Determine w so that -142/7*w**2 + 120 - 128/7*w - 2/7*w**3 = 0.
-70, -3, 2
Let s = -173594/3 + 57865. Factor 16*b + s*b**2 + 192.
(b + 24)**2/3
Let j(g) be the first derivative of 3*g**4/4 + 145*g**3 - 222*g**2 - 876*g - 11688. What is u in j(u) = 0?
-146, -1, 2
Let c be 4 - (-4 - (-222)/(-21)) - 57/(-133). Let y(x) be the first derivative of 3375/4*x - 1/16*x**4 + 15/4*x**3 + c - 675/8*x**2. Solve y(s) = 0 for s.
15
Let v(w) be the second derivative of w**4/16 - 105*w**3/8 - w + 513. Factor v(n).
3*n*(n - 105)/4
Let j(o) be the first derivative of o**5 - 69*o**4/4 - 994*o**3/3 + 6762*o**2 + 2744*o - 12079. Let j(t) = 0. What is t?
-14, -1/5, 14
Let b = 981/8 - 2911/24. Let p(z) be the first derivative of -b*z**3 - 8*z + 6*z**2 - 13. Find o, given that p(o) = 0.
1, 2
Let w be (116 - 141) + (-28)/(-1). Factor 0 + 1/5*p**4 + 7/10*p**w + 1/5*p + 7/10*p**2.
p*(p + 1)*(p + 2)*(2*p + 1)/10
Let l(g) be the second derivative of -g**5/100 + 3*g**4/20 + 73*g**3/30 - 273*g**2/10 + 9048*g. Factor l(b).
-(b - 13)*(b - 3)*(b + 7)/5
Let g be 1 - -7 - 2*2. Suppose -3*s = -l - 0 + 2, -4 = -2*l - g*s. Let 3*q + 3 - 12*q**3 + 3 + 6*q**l - 3*q**5 + 15*q - 12*q**4 - 3*q = 0. Calculate q.
-2, -1, 1
Let q = -1183/3 - -395. Let k(d) be the first derivative of d**2 - q*d**3 + 0*d + 20. Solve k(m) = 0.
0, 1
Let m(k) = -11*k**4 - 484*k**3 - 9130*k**2 + 9595*k + 5. Let t(a) = -39*a**4 - 1695*a**3 - 31956*a**2 + 33582*a + 18. Let n(q) = 18*m(q) - 5*t(q). Factor n(g).
-3*g*(g - 1)*(g + 40)**2
Let g(w) = 233*w**2 - 339*w + 128. Let n(f) = -6*f - 137. Let y be n(-22). Let x(m) = 155*m**2 - 225*m + 85. Let i(p) = y*g(p) + 7*x(p). Factor i(r).
-5*(4*r - 3)**2
Let a(y) be the second derivative of -y**6/10 - 9*y**5/20 + 11*y**4 + 24*y**3 - 672*y**2 + 60*y + 1. Let a(w) = 0. Calculate w.
-7, -4, 4
Let t be (1518/(-44) - -17)/(-4 - (9 + -11)). Factor -115/2*v**2 + 95/4*v - 155/4*v**4 - 15/4 + 135/2*v**3 + t*v**5.
5*(v - 1)**4*(7*v - 3)/4
Let n(d) be the second derivative of -5*d**7/77 - 33*d**6/5 + 447*d**5/110 + 219*d**4/22 + 46*d - 35. Let n(v) = 0. Calculate v.
-73, -3/5, 0, 1
Determine y, given that 2/9*y**4 - 5122/9*y + 26/9*y**3 - 122/3*y**2 - 4732/9 = 0.
-13, -1, 14
Let x(k) be the first derivative of 1/22*k**2 - 5/44*k**4 + 0*k + 131 + 3/55*k**5 + 1/33*k**3. Determine o so that x(o) = 0.
-1/3, 0, 1
Let l(c) = c**2 + 4*c - 4. Let k(t) = 2*t**2 - t. Suppose 5*z - 5 = 0, 3*u = -2*u - z + 21. Let j(w) = u*k(w) - 4*l(w). Let j(d) = 0. What is d?
1, 4
Let c(x) be the first derivative of -x**3 - 57*x**2/2 + 1051. Find l such that c(l) = 0.
-19, 0
Let i(m) be the third derivative of 3*m**7/140 - m**6/4 + 59*m**5/60 - 5*m**4/4 + 3*m**3/4 + 397*m**2. What is v in i(v) = 0?
1/3, 3
Let g(b) be the third derivative of 48*b**7/35 - 3*b**6/5 - 29*b**5/15 - 5*b**4/6 + b**2 - 1418. Let g(j) = 0. Calculate j.
-1/3, -1/4, 0, 5/6
Let o(r) be the second derivative of 5*r**7/42 + 19*r**6/10 + 38*r**5/5 + 11*r**4 + 16*r**3/3 - 46*r + 39. Let o(u) = 0. What is u?
-8, -2, -1, -2/5, 0
Suppose -23*o + 15 = -54. Suppose 9 = v - 3*t, 8 - 9 = -o*v - 4*t. Suppose 4/5*i**4 - 8/5*i**v + 6/5*i**5 + 2/5*i - 4/5*i**2 + 0 = 0. What is i?
-1, 0, 1/3, 1
Let d be (-6)/12 + (-22)/4. Let k be 1 + 10 - (4 + 2 + d). Determine t, given that -k*t**4 + t + t**2 + 7*t**2 + 2*t**3 - 3*t + 3*t**4 = 0.
-1, 0, 1/4, 1
Let v = -159507/4 + 39878. Let y(x) be the first derivative of -12 - 20*x - 10*x**2 + v*x**4 + 5/3*x**3. Solve y(t) = 0.
-2, -1, 2
Let r(q) = -44*q**2 - 911*q - 896. Let d(l) = 6*l**2 + 130*l + 128. Let c(b) = 29*d(b) + 4*r(b). Solve c(j) = 0.
-1, 64
Factor -2/13*n**3 - 84/13*n**2 - 200 + 990/13*n.
-2*(n - 5)**2*(n + 52)/13
Let h(c) be the first derivative of 2*c**7/35 + c**6/16 - 3*c**5/40 + c**2 + 77*c - 220. Let l(v) be the second derivative of h(v). Factor l(m).
3*m**2*(m + 1)*(8*m - 3)/2
Let j(r) be the second derivative of r**5/36 - 65*r**4/24 + 95*r**3/9 - 167*r**2/2 - 3*r - 30. Let k(z) be the first derivative of j(z). Factor k(x).
5*(x - 38)*(x - 1)/3
Determine q, given that -23/2*q**2 - 1/4*q**4 - 3*q - 13/4*q**3 + 18 = 0.
-6, -2, 1
Factor 3/2 - 21/8*t**3 - 57/8*t**2 - 3*t.
-3*(t + 1)*(t + 2)*(7*t - 2)/8
Let k(y) be the third derivative of -y**5/75 - 131*y**4/30 - 728*y**2. Factor k(z).
-4*z*(z + 131)/5
Solve 3/2*c**5 - 75/4*c - 33/2*c**3 + 3 - 3/8*c**4 + 249/8*c**2 = 0.
-4, 1/4, 1, 2
Let u(v) be the first derivative of 2*v**3/33 - 56*v**2/11 + 10*v - 802. Suppose u(o) = 0. What is o?
1, 55
Let f(i) be the third derivative of 3/4*i**3 + 0*i + 0 + 50*i**2 + 1/240*i**6 + 19/48*i**4 + 11/120*i**5. Factor f(o).
(o + 1)**2*(o + 9)/2
Suppose -3*t - 5*a - 91 = -5*t, -3*a = 15. Factor i**2 + 44*i - 12 - 5 + t - 13*i**2 + 0.
-4*(i - 4)*(3*i + 1)
Let w be (1 + 0)/(-3) + 1. Let z be -20 + (7/(-42))/(537/(-134) - -4). Let -z - 5*m - w*m**2 = 0. Calculate m.
-7, -1/2
Let q = -316 + 476. Determine g, given that -5*g**3 - q - 50*g**2 - 5*g**3 - 3*g**3 + 8*g**3 - 160*g = 0.
-4, -2
Factor -26*l**4 + 29*l**4 + 78*l**2 - 150*l**2 - 30*l**3.
3*l**2*(l - 12)*(l + 2)
Let l = -93396 + 280190/3. Determine k so that 26*k + 40/3*k**2 + 12 - 4*k**4 - l*k**5 - 4*k**3 = 0.
-3, -1, 2
Let s(h) be the second derivative of 1/5*h**5 + 0*h**2 + 0 + 181*h + 20/3*h**3 + 7/3*h**4. Factor s(f).
4*f*(f + 2)*(f + 5)
Let n(t) be the first derivative of -t**4/6 - 26*t**3/9 - 52*t**2/3 - 40*t - 3774. What is g in n(g) = 0?
-6, -5, -2
Let m(a) be the first derivative of -a**4 + 40*a**3/3 + 22*a**2 - 693. Suppose m(v) = 0. What is v?
-1, 0, 11
Let z(c) be the second derivative of c**4/3 + 122*c**3/3 - 1260*c**2 - 2455*c. Factor z(i).
4*(i - 9)*(i + 70)
Let i be 18/(-150)*5 + (-138)/(-5). Let i*j**2 - 48*j**2 - 13*j - 2 - 10*j = 0. What is j?
-1, -2/21
Let c = -90 + 93. Let -4 - 60*y**2 + 4 + 100*y - 4*y**4 + 327*y**3 - 363*y**c = 0. Calculate y.
-5, 0, 1
Factor -1440*z + 28800 + 24*z**2 - 2/15*z**3.
-2*(z - 60)**3/15
Let m be (-18)/4*8/(-12). Find f, given that 154*f**2 + 15*f**4 + 151*f**2 - 20*f**2 - 52*f**m - 60*f**2 + 60 + 200*f + 152*f**3 = 0.
-3, -2, -1, -2/3
Let u(j) = 87*j**2 - j - 42. Let w be u(-7). Suppose 0*r**2 - r**4 + 4242*r + 8 + 3*r**2 - 4*r**3 - w*r = 0. What is r?
-4, -1, 2
Determine k, given that -6672/7*k + 1668/7*k**3 - 27/7*k**4 - 1488/7 + 480/7*k**2 = 0.
-2, -2/9, 2, 62
Let c be (-19)/(-5) - 3/(-15). Suppose 233*u - 251*u = -72. Factor -19/5*b + 1/5*b**5 - 6/5*b**3 - u*b**2 - 6/5 + 2/5*b**c.
(b - 3)*(b + 1)**3*(b + 2)/5
Find z such that 469*z - 72*z**3 - 24 - 293*z + 0*z**5 - 116*z**2 - 20*z**4 - 262*z - 2*z**5 = 0.
-4, -3, -1
Let y be (2/4)/((-2)/(-8)). Suppose -4*u + y + 18 = 0. Factor -8*c - 4*c**4 + u*c**3 + 3*c**2 + 3*c**3 + 0*c + c**2.
-4*c*(c - 2)*(c - 1)*(c + 1)
Let y(o) be the first derivative of -399*o**4/4 - 268*o**3 + 1185*o**2/2 + 18*o + 406. Find c such that y(c) = 0.
-3, -2/133, 1
Let a(k) be the third derivative of -2*k**7/105 - 14*k**6/15 - 26*k**5/15 + 14*k**4/3 + 18*k**3 - k**2 + 1265*k. Factor a(u).
-4*(u - 1)*(u + 1)**2*(u + 27)
Let c(f) be the second derivative of -7*f**6/10 - f**5/10 + 7*f**4/4 + f**3/3 + 262*f. Factor c(u).
-u*(u - 1)*(u + 1)*(21*u + 2)
Suppose -5*l - 7 = -57. Let o = 84 - l. Factor -o*x**2 - 3*x + 6 - 7*x + 6 + 66*x**2.
-2*(x + 2)*(4*x - 3)
Suppose -121*r = -281*r. Let x(w) be the second derivative of 1/60*w**5 - 5*w + r - 1/72*w**4 - 1/180*w**6 + 0*w**3 + 0*w*