 + 614. Let u = j + 1251/2. What is p in 0 - 8*p - u*p**3 + 4*p**2 = 0?
0, 4
Let s(i) = i**2 + 99*i + 2180. Let q be s(-33). Factor -7/3*a**q - 3 + 17/3*a - 1/3*a**3.
-(a - 1)**2*(a + 9)/3
Suppose -19353696/5*x + 10776/5*x**2 - 2/5*x**3 + 11586412672/5 = 0. Calculate x.
1796
Let n be 9/(-4)*(-6 + (-40)/(-8)). Factor 3/4 + 3/2*u**2 - n*u.
3*(u - 1)*(2*u - 1)/4
Let n(a) be the third derivative of 1/84*a**5 + 0*a - 220*a**2 + 0 - 13/21*a**3 - 3/8*a**4. Let n(b) = 0. Calculate b.
-2/5, 13
Let l(r) = 4*r**2 - 302*r - 1778. Let a be l(81). Factor -3*b**2 - 5/2*b**a - 23/4*b**3 + 0 + 1/4*b**5 + 0*b.
b**2*(b - 12)*(b + 1)**2/4
Let z(n) be the first derivative of 0*n + 10/21*n**3 - 3/14*n**4 + 65 - 2/7*n**2 - 2/35*n**5 + 1/21*n**6. Suppose z(u) = 0. What is u?
-2, 0, 1
Let h(r) = -3*r**2 + 70*r - 65. Let g be h(23). Let f be 2*3/8*(-14)/g. Find z, given that 0*z + 0 + 0*z**2 - 1/4*z**3 + f*z**4 = 0.
0, 1
Let w(x) be the first derivative of x**7/9240 + 13*x**6/3960 - x**5/1320 - 13*x**4/264 - 86*x**3/3 + 90. Let v(b) be the third derivative of w(b). Factor v(q).
(q - 1)*(q + 1)*(q + 13)/11
Let u = 37 + 1. Let v = 41 - u. Let -2 + 0*c**2 + 14 + v*c**2 - 15*c = 0. Calculate c.
1, 4
Suppose -4*x = -3*l - 46, -219*x - 55 = 5*l - 224*x. Suppose 0*k**l - 4/3*k**4 + 0 - 2/3*k**5 + 0*k + 2*k**3 = 0. What is k?
-3, 0, 1
Let o(y) = 2*y**3 + 190*y**2 + 532*y + 356. Let x(q) = -3*q**3 - 190*q**2 - 533*q - 354. Let j(k) = 2*o(k) + 3*x(k). Suppose j(n) = 0. Calculate n.
-35, -2, -1
Let l(g) be the second derivative of -5*g**5/4 - 740*g**4/3 - 9805*g**3/6 - 1725*g**2 + 2768*g. Solve l(h) = 0.
-115, -3, -2/5
Let r = -598 + 602. Let c be -10 + r - (-143)/13. Factor 0 - 28/3*f**4 + 24*f**3 - 80/3*f**2 + 32/3*f + 4/3*f**c.
4*f*(f - 2)**3*(f - 1)/3
Let k(h) be the third derivative of -1/12*h**5 - 7/48*h**6 - h**2 + 10/3*h**3 + 35/12*h**4 + 2*h + 0. Factor k(d).
-5*(d - 2)*(d + 2)*(7*d + 2)/2
Let n(o) = -38*o**3 + 10*o**2 + 296*o - 406. Let k(d) = -d**4 - 115*d**3 + 26*d**2 + 888*d - 1217. Let y(a) = 2*k(a) - 7*n(a). Solve y(u) = 0.
-3, 2, 17
Factor 5*k**5 + 8*k**4 + 352*k**3 - 320*k**3 - 11*k**5 + 2*k**5 + 0*k**5.
-4*k**3*(k - 4)*(k + 2)
Let -25/4*z + 3/2*z**2 + 1/4*z**3 + 9/2 = 0. What is z?
-9, 1, 2
Let p(l) be the third derivative of 7*l**6/60 + 89*l**5/15 - 181*l**4/21 + 104*l**3/21 - 1718*l**2. Factor p(n).
2*(n + 26)*(7*n - 2)**2/7
Let m(a) be the second derivative of 0 - 3/8*a**3 + 5/2*a**2 + 1/48*a**4 + 214*a. Factor m(n).
(n - 5)*(n - 4)/4
Let m be 96/504 - 5120/(-8400). Solve -60*o**2 - 12500 - 1500*o - m*o**3 = 0.
-25
Let z(s) be the first derivative of s**6/16 + 3*s**5/20 - 27*s**4/32 - 7*s**3/4 + 15*s**2/4 + 9*s + 6867. Suppose z(l) = 0. What is l?
-3, -2, -1, 2
Let f = -618066/13 - -47544. Determine a so that 0 + 2/13*a**3 + 4/13*a + f*a**2 = 0.
-2, -1, 0
Let h(p) be the third derivative of p**7/420 + 29*p**6/120 + 51*p**5/5 + 5491*p**4/24 + 34391*p**3/12 + 1505*p**2. Find l, given that h(l) = 0.
-17, -7
Suppose -1921 = -2*h - 5*d, 2*d + 3809 = 4*h + d. Let g = 4769/5 - h. Solve -4/5 + 4/5*m**2 - 4/5*m**3 + g*m = 0.
-1, 1
Let h(i) = -4*i**2 + 3*i + 1. Let w(r) = r - 1. Let p(x) = -90*x**2 + 3 + 93*x**2 + x**3 - 2*x**3 + 2*x. Let k be p(4). Let o(d) = k*w(d) - h(d). Factor o(l).
4*(l - 1)**2
Let r(k) be the first derivative of k**5/10 + 43*k**4/2 - 29*k**3 - 43*k**2 + 173*k/2 - 10905. Solve r(f) = 0 for f.
-173, -1, 1
Let r(c) be the third derivative of c**6/24 + 77*c**5/12 + 6111*c**2. Suppose r(h) = 0. What is h?
-77, 0
Suppose -4*m - 2*l = 3*l, -5*m = l - 21. Factor 0*f**3 + 162*f - 36*f**2 - m*f**3 + 7*f**3.
2*f*(f - 9)**2
Factor -6220/3*h**4 - 16/3*h**2 + 12448/3*h**3 + 0*h + 0.
-4*h**2*(h - 2)*(1555*h - 2)/3
Let o be (42 - (-2052)/(-38)) + 14 + 0. Factor 0 + 5/2*g**4 + 7/2*g**o - 1/2*g**5 - 9/2*g**3 - g.
-g*(g - 2)*(g - 1)**3/2
Factor 11/2*b**3 - 2/5*b + 7/5*b**4 + 26/5*b**2 + 0.
b*(b + 2)**2*(14*b - 1)/10
Suppose 5*x = 29*x - 43680. Suppose x*g - 60*g**5 + 1340*g**4 - 27*g**5 - 196 + 15*g**5 - 3448*g**2 - 28*g**5 - 4024*g**3 = 0. Calculate g.
-1, 1/5, 7
Let f(v) be the first derivative of 1/6*v**4 + 5 - 4/9*v**3 - 1/3*v**2 + 4/3*v. Factor f(z).
2*(z - 2)*(z - 1)*(z + 1)/3
Suppose 5*x = -3*j + 79, -105 = -5*j - 6*x + 3*x. Factor -j + 50*l**2 - 45*l**2 - 14 - 13.
5*(l - 3)*(l + 3)
Let d be 301/35 - ((-9)/(-15) - 0). Factor d + 10*q + 9*q**2 - 4 + 19*q**2 + 48*q.
2*(q + 2)*(14*q + 1)
Let c(x) be the third derivative of 0*x**5 + 0*x**3 - 4/1155*x**7 + 9*x**2 + 2 - 1/616*x**8 + 0*x**4 + 0*x - 1/660*x**6. Suppose c(l) = 0. What is l?
-1, -1/3, 0
Let j(h) = 3*h + 17. Suppose 4 = 3*y + 19. Let q be j(y). Find s such that -27 + 18*s + 2*s**2 - 11*s**2 + 6*s**q = 0.
3
Let y(m) = 3*m**2 - 684*m - 3495. Let t be y(-5). Solve -34/3*a + t - 1/3*a**2 = 0.
-34, 0
Let m = -367 - -369. Let t = 11/36 - -7/36. Solve -h - 1/2 - t*h**m = 0 for h.
-1
Let f = 15047786/2687105 - -2/2687105. Determine t so that -f*t**3 - 48/5 + 46/5*t**2 + 2/5*t**4 + 28/5*t = 0.
-1, 1, 2, 12
Let x(d) = 29*d**2 - 1. Suppose -2 = -0*j - 2*j - 3*c, 4*j = 2*c + 4. Let t be x(j). Factor a**4 - t*a**2 + 36*a**3 + 8*a - 21*a**4 - 7*a**5 + 11*a**5.
4*a*(a - 2)*(a - 1)**3
Let b(o) be the first derivative of -o**4/2 + 7860*o**3 - 46334700*o**2 + 121396914000*o - 5465. Factor b(c).
-2*(c - 3930)**3
Let z(b) = -1363*b - 41. Let q be z(-2). Let 0*o - 5800 + 87*o**2 + 30189 - q*o - o**3 + 162*o = 0. Calculate o.
29
Let y = 7 - 1. Let k be 12/(-3)*y/(-8). Factor -5 + 4 + 1 + 2 + k*j + j**2.
(j + 1)*(j + 2)
Let w(g) be the third derivative of -g**7/210 - 7*g**6/10 - 27*g**5/20 + 83*g**4/12 + 816*g**2. Find u such that w(u) = 0.
-83, -2, 0, 1
Let x(d) be the third derivative of -d**6/60 - 11*d**5/2 + 111*d**4/4 - 167*d**3/3 - 139*d**2 + d + 6. Find h, given that x(h) = 0.
-167, 1
Let p(n) = n**2 + 17*n + 49. Let j be p(-15). Factor -40*o - 38*o**2 + 15*o**2 + j*o**2 + 44.
-4*(o - 1)*(o + 11)
Let m(s) = 1462*s**2 - 2. Let i be m(1). Suppose 2*u = -3*u + i. Suppose -y**2 + u*y - 4*y**2 - 277*y = 0. Calculate y.
0, 3
Let z(u) be the third derivative of u**7/42 + 517*u**6/60 - 191*u**5/5 + 731*u**4/12 - 209*u**3/6 + 3587*u**2. Find j such that z(j) = 0.
-209, 1/5, 1
Let q(t) be the first derivative of -t**3/24 + 119*t**2/8 + 239*t/8 + 963. Factor q(w).
-(w - 239)*(w + 1)/8
Suppose 10*x - 42 + 12 = 0. What is c in -2*c**2 - c**3 - 36*c**4 - c**2 + 38*c**4 + x*c**2 + c**5 - 2*c**2 = 0?
-2, -1, 0, 1
Let g(n) = n**3 + 11*n**2 + 10*n. Let v be g(-10). Suppose -4*h + 13 - 5 = v. Determine k, given that h - 4*k**3 + 6*k + 2 - 2*k**3 - 4*k**2 + 0*k**3 = 0.
-1, -2/3, 1
Suppose 103*i = 60*i + 172. Let d = 8 - 5. Factor -1330*n + 1330*n + n**4 + 2*n**5 + 2*n**d - 5*n**i.
2*n**3*(n - 1)**2
Suppose d - 4*d + 213 = -3*a, -4*a = d - 76. Factor 18*y**2 - 5*y**3 - 84*y + 18*y**3 - 4*y**3 + d - 3*y**4.
-3*(y - 2)**3*(y + 3)
Suppose z - 2 = -4*z - 2*f, z + 3 = 3*f. Suppose -2*r - 2*x - 4 = z, -3*x + 18 = r - 7*x. Find n such that 0*n**r + 2/5*n**3 + 4/5 - 6/5*n = 0.
-2, 1
Let g = 685487/4 - 171366. Determine m so that 3/4 + 5*m**2 + g*m = 0.
-1, -3/20
Let k be (286/(-6721))/((-9)/423). Factor -8/5*n**k + 6/5*n**4 + 0*n**3 + 0*n + 0 + 2/5*n**5.
2*n**2*(n - 1)*(n + 2)**2/5
Factor -365*z - 2*z**2 - 3*z + 95*z + 4*z**2 + 119*z.
2*z*(z - 77)
Let q(i) be the third derivative of -16*i**7/245 + 38*i**6/35 + 51*i**5/14 + 7*i**4/2 + 11*i**3/7 - 766*i**2. Solve q(j) = 0.
-1, -1/4, 11
Suppose -30 + 5/4*n**2 - 115/4*n = 0. Calculate n.
-1, 24
Suppose 0 = -3*s - m - 41 - 74, -1 = m. Let w be (-7)/(-105)*3*s/(-2). Determine i, given that -w*i - 44/5*i**2 - 2/5 = 0.
-1/4, -2/11
Let w = 920246 + -920242. What is f in -3*f**w - 25/3*f**3 - f - 7*f**2 + 2/3 = 0?
-1, 2/9
Let a be (-67210)/(-52)*(-2)/10. Let s = -254 - a. Factor -3/2*l**2 - s*l + 0.
-3*l*(l + 3)/2
Let t be (-4)/(20/345) - 3. Let m be (-4)/7 + t/(-28). Factor 2*j**2 - 3 - 8*j - 3 - 6*j**m + 2.
-4*(j + 1)**2
Let f(p) be the second derivative of -15/11*p**2 + 13*p - 4/3*p**3 - 7/11*p**4 - 6/55*p**5 + 1/165*p**6 + 3. Find l such that f(l) = 0.
-1, 15
Let m(h) be the first derivative of h**6/50 - 27*h**5/100 - h**4/2 + 96*h - 64. Let f(o) be the first derivative of m(o). Let f(b) = 0. What is b?
-1, 0, 10
Let l(o) be the first derivative of -68/3*o**3 + 52/5*o**5 - 48 + 16*o - 9*o**4 + 18