derivative of n**7/63 - 13*n**6/16 - 73*n**5/24 + 155*n**4/72 + 510*n**2. Find o such that v(o) = 0.
-2, 0, 1/4, 31
Factor -6*j**3 - 90 - 155*j - 74*j + 67*j - 197 + 392 + 63*j**2.
-3*(j - 7)*(j - 1)*(2*j - 5)
Factor -176*y - 3*y**4 + 1210*y - 1025*y - 83*y**3 + 338 - 635*y**2 - 802*y.
-(y + 2)*(y + 13)**2*(3*y - 1)
Let s(h) = -13*h**2 - 185*h - 24. Let z be s(-14). Let p(o) be the first derivative of -12*o - 9/2*o**4 - z*o**2 - 13*o**3 - 3/5*o**5 + 4. Factor p(m).
-3*(m + 1)**2*(m + 2)**2
Let b(k) be the first derivative of -k**6/15 - 52*k**5/25 - 169*k**4/10 - 247. Determine z, given that b(z) = 0.
-13, 0
Let b(z) = 1. Let t(a) = -a + 14. Let r(n) = 4*b(n) + t(n). Let i be r(14). Factor -9*x**i - 4*x**3 + 4*x**5 + x**4 - 65*x**2 + 73*x**2.
4*x**2*(x - 2)*(x - 1)*(x + 1)
Let k(s) = 30*s**3 + 3905*s**2 + 990735*s + 84872990. Let h(a) = a**3 + 2*a**2 + 1. Let d(y) = -25*h(y) + k(y). Determine j so that d(j) = 0.
-257
Let b(h) be the first derivative of 2*h**3/39 + 2044*h**2/13 + 2088968*h/13 + 23. What is u in b(u) = 0?
-1022
Let u(p) = -p**2 + 20*p - 49. Let c be u(17). Solve 4*d + 0*d - d**c - 4*d + 3*d = 0 for d.
0, 3
Suppose -3*f + 48 = 5*o, 43*f - 30 = -4*o + 42*f. Let k(q) be the first derivative of o*q**2 - 11 - 32/3*q**3 - 4/3*q + 16/3*q**4. Factor k(h).
4*(h - 1)*(4*h - 1)**2/3
Let n be 4/960*362 + (-26)/(2080/(-50)). Suppose 0 + 0*r**2 + 2/15*r**3 - n*r = 0. Calculate r.
-4, 0, 4
Suppose 213*w - 216*w = 12. Let l(r) = r**3 - 181*r**2 - 3969*r - 27783. Let t(g) = g**3 - 364*g**2 - 7938*g - 55566. Let b(p) = w*t(p) + 7*l(p). Factor b(k).
3*(k + 21)**3
Let r = -263 + 275. Suppose -r*o - 14*o + 7*o = 0. Let -3/2*m**2 - 9*m + o = 0. What is m?
-6, 0
Let v(w) be the second derivative of 8/3*w**2 - 11/9*w**3 + 8 - 1/12*w**5 - 2*w - 43/36*w**4. Factor v(b).
-(b + 1)*(b + 8)*(5*b - 2)/3
Let m = -83 + 86. Solve -m*b**3 - 5066 + 20*b - 12*b**3 + 5066 + 5*b**4 = 0 for b.
-1, 0, 2
Solve 4/5*x**4 + 503/5*x**2 + 456/5*x - 93/5*x**3 - 144/5 = 0.
-1, 1/4, 12
Let s(w) = -w**2 + 30*w + 2. Let b be s(24). Let o = b + -92. Factor -62*k - 12*k**2 + k**3 - 5*k**3 + o*k.
-4*k*(k + 1)*(k + 2)
What is c in 30752/21 + 2232/7*c + 2/21*c**3 - 80/7*c**2 = 0?
-4, 62
Factor -18375*z - 2*z**5 + z**3 + 18375*z - 3*z**3 + 4*z**3.
-2*z**3*(z - 1)*(z + 1)
Let w(n) be the first derivative of 0*n**2 + 14*n - 1/30*n**3 + 10 + 1/30*n**4 - 1/100*n**5. Let d(k) be the first derivative of w(k). Factor d(t).
-t*(t - 1)**2/5
Let s(k) be the first derivative of 5*k**3/3 - 5*k**2 - 175*k + 943. Factor s(w).
5*(w - 7)*(w + 5)
Let j(t) be the third derivative of -33/5*t**5 - t - 16/3*t**3 + 29/3*t**4 + 16*t**2 + 0. Factor j(n).
-4*(9*n - 2)*(11*n - 4)
Let o = 64 + -62. Factor 102 + q**o - 18 - 575*q + 266*q + 273*q - 4*q**2.
-3*(q - 2)*(q + 14)
Suppose g - 9 = -11. Let n be g/12*(-1155)/22. Let -5/4*x**3 - 20 - 10*x + n*x**2 = 0. Calculate x.
-1, 4
Factor -20*z**3 + 130*z**2 + 185*z - 43*z**4 + 3*z**4 + 70 + 5210*z**5 - 5215*z**5.
-5*(z - 2)*(z + 1)**3*(z + 7)
Suppose 18 = 3*q - 0*q. Let s be (-54)/12*(2 + (-16)/q). Factor 33*h + 10*h**2 - 33*h + 5*h**s.
5*h**2*(h + 2)
Factor -37/6*d**3 + 1/3 + 38/3*d**2 - 41/6*d.
-(d - 1)**2*(37*d - 2)/6
Factor 63*f + 3*f**4 - 63*f + 534*f**2 - 3*f**3 - f**5 - 533*f**2.
-f**2*(f - 1)**3
Let q(s) be the second derivative of s**6/180 - 13*s**5/120 - s**4/24 + 37*s**3/36 + 13*s**2/6 - 2*s - 150. Factor q(d).
(d - 13)*(d - 2)*(d + 1)**2/6
Let n(x) = 17*x**3 - 354*x**2 - 1400*x - 1369. Let m(w) = 3*w**3 - 71*w**2 - 280*w - 274. Let u(b) = -33*m(b) + 6*n(b). What is y in u(y) = 0?
-69, -2
Suppose 4*t = 11*t - 833. Let w = t - 119. Factor 5/4*v**3 + w + 1/4*v**2 - 1/4*v**4 - 5/4*v.
-v*(v - 5)*(v - 1)*(v + 1)/4
Let n(q) = 66701*q**2 + 6*q - 9 - 66689*q**2 - 18. Let g(v) = v**2. Let j(t) = 44*g(t) - 4*n(t). Factor j(o).
-4*(o - 3)*(o + 9)
Let c(h) be the third derivative of h**6/240 - 13*h**5/24 + 53*h**4/3 - 784*h**3/3 + 997*h**2 + 2*h + 1. Factor c(s).
(s - 49)*(s - 8)**2/2
Let w(z) = -z**2. Let x(b) = b**3 - 34*b**2 + 221*b + 578. Let r(q) = -2*w(q) + x(q). Factor r(l).
(l - 17)**2*(l + 2)
Let k(r) be the third derivative of r**5/180 + 91*r**4/24 - 137*r**3/9 - 4*r**2 + 192. Find h, given that k(h) = 0.
-274, 1
Let m be ((-9471)/(-286) - 21)*12/7. Determine r, given that 170/13*r + 1188/13*r**3 + 324/13*r**4 + 752/13*r**2 + 12/13 - m*r**5 = 0.
-1, -1/3, -2/15, 3
Let w(z) be the second derivative of -3*z**5/10 + 32*z**4/3 + 1133*z**3/3 + 726*z**2 - 249*z. Factor w(g).
-2*(g - 33)*(g + 11)*(3*g + 2)
Suppose 3*j - 15 = 0, -34*t = -36*t - 4*j - 1588. Let m = t + 5636/7. Factor 0 + m*u - 12/7*u**3 - 4/7*u**2.
-4*u*(u + 1)*(3*u - 2)/7
Let y(n) be the third derivative of n**8/1008 - n**7/18 + 343*n**6/360 - 97*n**5/36 - 268*n**4/9 - 640*n**3/9 - 1007*n**2. Let y(i) = 0. Calculate i.
-1, 5, 16
Let k = 138471 - 276941/2. Find y such that -2*y + 0 + k*y**3 + 3/2*y**2 = 0.
-4, 0, 1
Let c(u) be the first derivative of 0*u - 4/7*u**4 - 2/7*u**5 + 8/21*u**3 + 0*u**2 + 79. Factor c(l).
-2*l**2*(l + 2)*(5*l - 2)/7
Suppose -169*g + 172*g = 24, -2*p = 15*g - 126. Factor -1/2*i**2 + 0 - p*i.
-i*(i + 6)/2
Let z be (17 - 57)/(7 + (-165)/20). Let k(n) be the second derivative of -z*n + 5/12*n**4 + 0 + 0*n**2 - 1/20*n**5 - 2/3*n**3. Factor k(r).
-r*(r - 4)*(r - 1)
Let v be (-7)/(98/(-28)) + (6 - 2) + -1. Let q(b) be the second derivative of 4*b**2 + 10/3*b**3 + 0 + v*b + b**4. Factor q(k).
4*(k + 1)*(3*k + 2)
Let k(q) be the third derivative of q**7/20 + 127*q**6/120 + 17*q**5/8 + 11*q**4/24 + q**2 - 4412*q. Let k(i) = 0. Calculate i.
-11, -1, -2/21, 0
Let 54*k + 49/4*k**5 - 465/4*k**3 + 185/4*k**2 - 21/4*k**4 + 9 = 0. Calculate k.
-3, -2/7, 1, 3
Let o = 132932 - 132930. Factor -22/7*u**3 + 90/7*u**o - 162/7*u + 108/7 + 2/7*u**4.
2*(u - 3)**3*(u - 2)/7
Let y(w) = 105*w**2 - 38225*w + 8600. Let x(l) = -9*l**2 + 3475*l - 782. Let j(d) = 65*x(d) + 6*y(d). What is a in j(a) = 0?
2/9, 77
Let w(o) be the first derivative of -o**3/9 - 87*o**2/2 + 262*o/3 - 15310. Factor w(x).
-(x - 1)*(x + 262)/3
Let y(x) be the first derivative of 1/2*x**4 - 49/8*x - 13/4*x**3 + 9 + 7*x**2 - 1/40*x**5. Factor y(r).
-(r - 7)**2*(r - 1)**2/8
Suppose -2857 = -38*a + 69. Let x be 2/3 + -77 + a. Factor -2/3*f**2 + 2/3*f**3 + x - 2/3*f.
2*(f - 1)**2*(f + 1)/3
Let 0 + 0*f - 3*f**4 - 22/3*f**2 + 23*f**3 = 0. What is f?
0, 1/3, 22/3
Let i be ((-12)/8)/(2/(-4)). Suppose 16 = 4*u - q, 0 = 4*u - 5*q - 8 - 24. Factor -4*f**3 + f**5 + f**i + 2*f**u.
f**3*(f - 1)*(f + 1)
Let r = 10 - 7. Suppose 2*f + 36 = -12*f + 32*f. Suppose 31*b + r*b**f + 19*b - 44*b = 0. What is b?
-2, 0
Factor -352*v + 2*v + 3*v**3 - 30*v**4 + 221*v**2 + 3*v**5 + 26*v - 84*v**2 + 115*v**2.
3*v*(v - 9)*(v - 2)**2*(v + 3)
Let d = -47391 + 47395. Determine t so that 2/3*t - 2/3*t**2 + d = 0.
-2, 3
Let o(j) = j**3 - 9*j**2 - 2*j + 20. Let i be o(9). Factor -3*w + 5*w**5 - w**2 + 306*w**4 - 2*w - 316*w**4 + 11*w**i.
5*w*(w - 1)**3*(w + 1)
Let x(r) be the second derivative of r**7/1050 + r**6/360 - r**5/300 + 115*r**4/6 + 107*r. Let b(c) be the third derivative of x(c). Factor b(a).
2*(a + 1)*(6*a - 1)/5
Let -453*h**3 + 5897*h**5 + 312 - 579*h**2 - 5891*h**5 + 447*h + 285*h**4 - 18 = 0. What is h?
-49, -1, -1/2, 1, 2
Let l be (-65)/(-39) + -2 + (-14)/(-6). Determine m, given that -28*m + 10*m + 8*m + 45 - 3*m**l + 4*m = 0.
-5, 3
Let t(i) be the third derivative of -13*i**7/210 + 239*i**6/420 - 83*i**5/105 - 59*i**4/21 - 16*i**3/7 - 327*i**2. Solve t(k) = 0.
-6/13, -2/7, 2, 4
Let l = 69548 + -69545. Determine o, given that 2/5 - 2*o**2 - 6/5*o**l - 2/5*o = 0.
-1, 1/3
Let k(p) be the third derivative of p**7/2520 - p**6/720 - p**5/20 + p**4/3 - p**3/2 - p**2 - 4*p. Let b(a) be the second derivative of k(a). Factor b(v).
(v - 3)*(v + 2)
Let v(k) = -k**2 - 738*k + 48743. Let y be v(61). Find j such that 2/13*j**y - 12/13*j + 2/13*j**2 + 8/13*j**3 + 0 = 0.
-3, -2, 0, 1
Let h = 108353/72234 + -1/36117. Factor 15*n - h*n**2 + 33/2.
-3*(n - 11)*(n + 1)/2
Factor -2435/3*h**2 + 0 - 5/3*h**4 - 1225/3*h**3 - 405*h.
-5*h*(h + 1)**2*(h + 243)/3
Let b(o) = -72*o**2 - 402*o - 706. Let q(i) = -7*i**2 - 5*i - 1. Let h(s) = -b(s) + 10*q(s). Factor h(z).
2*(z + 2)*(z + 174)
Let d = -38 - -83. Let g = -43 + d. Factor -19*u + 39*u + 21*u**g - 14*u.
3*u*(7*u + 2)
Le