 s(22). Suppose -217 - 10*u**3 + 4*u**r - 12*u**2 - 68*u + 30*u**3 + 177 = 0. Calculate u.
-5, -1, 2
Let v be 4/((-808)/120 + 7). Factor -4*n**2 + 35*n**2 - 2*n**4 - 3*n**4 + 10*n - 10*n**3 - v*n**2 - 11*n**2.
-5*n*(n - 1)*(n + 1)*(n + 2)
Factor 15/8*h**4 + 0 + 29/4*h**3 + 37/8*h**2 - 3/4*h.
h*(h + 1)*(h + 3)*(15*h - 2)/8
Let j(t) = 4*t + 4 - 2*t + 0 + 12. Let s be j(-6). Factor -20*x**3 + 16*x**s + 5*x**5 + x**2 + 7*x**2 - 9*x**5.
-4*x**2*(x - 2)*(x - 1)**2
Let m(y) be the second derivative of -11*y + 175/24*y**4 - 49/40*y**5 - 69/4*y**3 + 12 + 81/4*y**2. Factor m(q).
-(q - 1)*(7*q - 9)**2/2
Let y = 6733/4 + -48963/28. Let b = -65 - y. What is n in 12/7*n**2 + 1/7*n**4 + 10/7*n + b + 6/7*n**3 = 0?
-3, -1
Factor -294*j**3 + 36*j**2 - 42 - 272*j**3 + 244*j - 199*j + 527*j**3.
-3*(j - 1)**2*(13*j + 14)
Let y(t) = -16*t**2 - 4*t - 2. Let k be y(-2). Let d = k - -62. Factor 1 + 6*x + d - 4 - 4*x**3 + 4*x**2 - 6*x**4 + 1 - 2*x**5.
-2*(x - 1)*(x + 1)**4
Factor -1/5*p**4 - 126/5*p + 0 - 12*p**3 + 187/5*p**2.
-p*(p - 2)*(p - 1)*(p + 63)/5
Let k(n) be the third derivative of -n**9/36288 + n**8/20160 + 37*n**5/12 + 217*n**2. Let w(g) be the third derivative of k(g). Factor w(f).
-f**2*(5*f - 3)/3
Let v(n) be the second derivative of n**5/20 - 5*n**4/6 - 2*n**3 + 13*n**2/2 + 21*n. Let g be v(11). Let 5*q**2 - 52*q + 2*q - g*q**2 + 2*q**2 = 0. What is q?
0, 10
Let z be 900/315 + 344/56 + (-4 - 0). Let 20 - 2*n + 1/2*n**3 - z*n**2 = 0. What is n?
-2, 2, 10
Let m(u) be the third derivative of 35/6*u**5 + 2/7*u**7 + 128*u**2 - 11/6*u**6 + 35/3*u**3 + 0*u + 0 - 85/8*u**4 - 5/336*u**8. Factor m(b).
-5*(b - 7)*(b - 2)*(b - 1)**3
Let g(m) be the first derivative of m**4/4 - 20*m**3 + 306*m**2 - 1728*m + 288. Let g(c) = 0. What is c?
6, 48
Let o(i) be the first derivative of 1/3*i**4 - 4*i**2 + 2/3*i**3 - 17 - 28*i. Let h(z) be the first derivative of o(z). Factor h(t).
4*(t - 1)*(t + 2)
Let j be (-288)/(-24) - (7 + -1) - (-11)/(-2). Let b(m) be the first derivative of -13 + 2*m**3 + j*m**4 - 8*m + 0*m**2. Solve b(v) = 0 for v.
-2, 1
Suppose -3*z + 4*z + 15 = 5*c, -35 = -5*c - 3*z. Factor -3*r**2 + 9*r**4 - 7*r**4 + r**c + 3*r**3 - 3*r.
3*r*(r - 1)*(r + 1)**2
Factor 5*b**4 - 6*b**3 - 2*b**3 - 5*b**2 + 179*b - 204*b + 33*b**3.
5*b*(b - 1)*(b + 1)*(b + 5)
Let u(y) be the first derivative of -y**5/5 - 49*y**4/4 - 592*y**3/3 - 1056*y**2 - 5113. Solve u(v) = 0.
-33, -8, 0
Let w(d) be the third derivative of -d**6/240 - 51*d**5/40 - 1925*d**4/16 + 5929*d**3/12 + 2024*d**2. Factor w(l).
-(l - 1)*(l + 77)**2/2
Let x be (-10*((-91)/56)/13)/(3/12). Let f(j) = 3*j + 30. Let s be f(-10). Factor -4/3*v**2 - 4*v**x + 0*v - 20/3*v**3 + s - 28/3*v**4.
-4*v**2*(v + 1)**2*(3*v + 1)/3
Suppose 5*i + 30 = 165*v - 160*v, 4*i = -5*v + 48. Determine c, given that -22/3*c**2 - 3 - v*c - 8/3*c**3 - 1/3*c**4 = 0.
-3, -1
Let d(q) = 4*q**2 + 5*q - 2422. Let j be d(24). Factor 4*t + 2*t**3 - 13/3*t**j - 1/3*t**4 - 4/3.
-(t - 2)**2*(t - 1)**2/3
Let h(p) be the second derivative of p**5/20 + 7*p**4/6 + 3*p**3/2 - 11*p**2 - 16*p. Let v be h(-13). Factor -196 - 27*m - v*m - 3*m**2 + 2*m**2 + 29*m.
-(m + 14)**2
What is n in 16/7*n**4 + 2816/7*n**2 - 4096/7*n + 0 - 576/7*n**3 + 4/7*n**5 = 0?
-16, 0, 4
Let k(g) be the third derivative of -5*g**8/336 + 9*g**7/14 - 83*g**6/12 - 21*g**5 + 245*g**4/3 + 177*g**2. Determine a, given that k(a) = 0.
-2, 0, 1, 14
Let v(j) be the third derivative of j**6/120 - 4*j**5/45 - j**4/6 + 1267*j**2. What is w in v(w) = 0?
-2/3, 0, 6
Let a(c) be the third derivative of c**8/4032 - 31*c**7/1008 - 2*c**6/9 - c**5/6 - 35*c**2. Let u(p) be the third derivative of a(p). Let u(v) = 0. Calculate v.
-1, 32
Let w be (21/(-6))/((-1 + (-63)/(-72))*12). Find c such that 23/3*c + 10/3 + w*c**3 - 40/3*c**2 = 0.
-2/7, 1, 5
Let j(r) be the first derivative of r**4 + 80*r**3 + 456*r**2 + 896*r - 1724. Solve j(z) = 0.
-56, -2
Let x be 260/36 + -5 - (-4)/(-18). Let p(i) be the first derivative of -3*i**x + 0*i**4 - 3*i**4 + 6 - 7*i**3 + 3 + 3*i. What is m in p(m) = 0?
-1, 1/4
Solve -116/3*r**2 - 64/3 + 134/15*r**3 + 256/5*r + 0*r**4 - 2/15*r**5 = 0.
-10, 1, 4
Let w(i) = 688*i - 2749. Let d be w(4). Let x(a) be the first derivative of 0*a - 2/15*a**2 - 1/30*a**4 + 13 + 2/15*a**d. Factor x(n).
-2*n*(n - 2)*(n - 1)/15
Find u, given that -24*u**3 - 2*u**4 - 322*u**2 + 113*u**3 + 492*u - 135*u**3 - 122*u**3 = 0.
-82, -3, 0, 1
Suppose 0 = -275*c + 454 - 211 + 582. Factor 183/7*h**2 - 576/7*h + 108/7 - 15/7*h**c.
-3*(h - 6)**2*(5*h - 1)/7
Let c(m) be the second derivative of 3*m**7/14 + m**6/10 - 89*m**5/20 - 31*m**4/12 + 12*m**3 + 18*m**2 - m + 54. Solve c(h) = 0 for h.
-3, -2/3, 1, 3
Let l = -297 + 282. Let f be (l + (-948)/(-60))*(-5)/(-2). Let -2/13*m**f - 20/13 - 14/13*m = 0. What is m?
-5, -2
Let q(b) be the first derivative of b**4/2 + 108*b**3 - 163*b**2 - 2917. Factor q(a).
2*a*(a - 1)*(a + 163)
Let x be ((-36)/(-288))/(9/12) + 11/6. Factor 28/3*v + 4/3 + 8*v**x.
4*(v + 1)*(6*v + 1)/3
Factor -2/5*z**3 + 992/5 - 528/5*z + 78/5*z**2.
-2*(z - 31)*(z - 4)**2/5
Suppose -4*o = 5*a - 71, 56 = 2*a + 5*o + 14. Factor -m**2 + 2*m**2 + 4*m**3 - m**5 - 5*m**4 + 692*m + 4 - a*m**3 - 684*m.
-(m - 1)*(m + 1)**2*(m + 2)**2
Let c(h) = -113*h - 221. Let o be c(-2). Let l(z) be the first derivative of -10*z - o*z**3 + z**5 + 27 - 5/4*z**4 + 25/2*z**2. Find i, given that l(i) = 0.
-2, 1
Let c = 52 - -1. Find k such that -12*k - 48 + 92 - 3*k**2 - c = 0.
-3, -1
Suppose 0*x - x = -4*a + 70043, x + 17507 = a. Determine c, given that -6*c**4 + 7*c**2 - c**2 - 3*c**3 - a*c**5 + 17515*c**5 = 0.
-1, 0, 1, 2
Let p be -3*(-6)/(-702)*6 + (3125/455 - 1). Suppose 2/7*y**3 + 74/7*y - 36/7 - p*y**2 = 0. Calculate y.
1, 18
Let m(d) be the second derivative of d**5/80 + 85*d**4/4 + 14450*d**3 + 4913000*d**2 + 2*d - 934. Solve m(n) = 0.
-340
Let w = -283258/7 - -40466. Let 2/7*x**4 - 8/7*x**3 + 8/7*x + w*x**2 - 6/7 = 0. Calculate x.
-1, 1, 3
Factor -39996/5*n - 4/5*n**3 + 804/5*n**2 - 40804/5.
-4*(n - 101)**2*(n + 1)/5
Find p, given that 1000/9*p + 496/9 - 356/9*p**2 + 4/9*p**5 + 238/9*p**4 - 626/9*p**3 = 0.
-62, -1, -1/2, 2
Let f = -38053 - -76107/2. Factor -1/4*a**3 - f*a**2 + 3/4*a + 0.
-a*(a - 1)*(a + 3)/4
Suppose 5*f = d + 17, f = -4*d + 5*f - 4. Suppose -6*b = -d*b - 5*w - 13, 29 = 5*b - w. Factor 0*q**2 + 6*q + 3*q**2 + 0*q**2 - 3 - b*q**2.
-3*(q - 1)**2
Suppose -5*p + 2*v + 2*v = 34, 3 = 3*v. Let o be -2*4*p/24. Factor 8/7*l + 8/7*l**o + 2/7*l**3 + 0.
2*l*(l + 2)**2/7
Let w(j) be the second derivative of 13/5*j**5 + 7 - 47/30*j**4 + 0*j**2 - 2/15*j**3 + 13*j. Factor w(c).
2*c*(5*c - 2)*(26*c + 1)/5
Let z(t) = 20*t**3 - 8*t**2 - 12*t - 8. Let q(i) be the first derivative of -7*i**4/4 + i**3 + 2*i**2 + 3*i + 88. Let y(x) = -8*q(x) - 3*z(x). Factor y(g).
-4*g*(g - 1)*(g + 1)
Let n = 5431 - 3871. Let u be 6903/n + (-3)/(-8). Solve 21/5*i**2 - u + 78/5*i = 0 for i.
-4, 2/7
Let d(x) be the third derivative of -3*x**2 + 17 + 0*x - 4/3*x**4 + 1/30*x**5 + 28/3*x**3. Let d(h) = 0. What is h?
2, 14
Find l such that 13*l**3 - 31*l**2 + 11*l - 3/5*l**4 + 38/5 = 0.
-1/3, 1, 2, 19
Let k(v) = -v**3 - 15*v**2 - 2*v - 10. Let z(a) = -a - 9. Let n be z(6). Let m be k(n). Factor -m + 8 + 12 - h**5.
-h**5
Let o(i) be the third derivative of -5*i**8/336 + 5*i**7/21 - 9*i**6/8 + i**5/6 + 25*i**4/3 - 2238*i**2. Let o(g) = 0. Calculate g.
-1, 0, 2, 4, 5
Let r(o) be the second derivative of 3*o**6/5 + 384*o**5/5 + 8063*o**4/3 - 11008*o**3/3 + 1849*o**2 - 1312*o. Determine a, given that r(a) = 0.
-43, 1/3
Let m = -15/8437 - -92837/16874. Determine r, given that 15/2*r - m*r**2 - 2 = 0.
4/11, 1
Let -3540*p**2 - 1/3*p**4 - 68400*p + 72000 - 179/3*p**3 = 0. Calculate p.
-60, 1
Let o(h) be the first derivative of -h**5/20 + 181*h**4/16 - 713*h**3/12 + 887*h**2/8 - 177*h/2 - 3627. Solve o(p) = 0 for p.
1, 2, 177
Suppose -b + 3 + 15 = 4*l, -b - 2 = 0. Let t be l*(-3 + 51/15). Let x**t + 2*x - 7 - 5 + 13 = 0. What is x?
-1
Let w(l) = 2*l**2 + 133*l - 240. Let n(h) = h**2 + 62*h - 120. Let j(x) = 9*n(x) - 4*w(x). Solve j(p) = 0 for p.
-30, 4
Determine a, given that 2/13*a**2 - 792/13*a + 78408/13 = 0.
198
Let z be 3/(-1*9) - (-118)/3. Factor z*k + 5*k**3 + 50*k**2 - 15*k**2 - 9*k.
5*k*(k + 1)*(k + 6)
Suppose 2 = -4*z + 3*z. Let h(q) = q - 2 +