k**2 + 0 + g*k**3 - 24/11*k.
2*k*(k - 12)*(k + 1)/11
Let u(w) be the first derivative of 3*w**4 - 164*w**3/3 - 120*w**2 - 7840. Factor u(n).
4*n*(n - 15)*(3*n + 4)
Suppose 0 = 137*a - 132*a - 30. Suppose a*k**3 - 13*k**2 + 6*k**2 - 20*k**2 - 12*k**5 + 6*k + 27*k**4 = 0. Calculate k.
-1, 0, 1/4, 1, 2
Let d be (82/4 - 18)/(20/1580). Suppose 40*k**4 + 0 - d*k**2 + 25*k + 380*k**3 = 0. What is k?
-10, 0, 1/4
Solve 324*j + 4*j**2 + 1320 - 307*j + 651*j = 0.
-165, -2
Suppose -5*t - 4*i = -i + 5, 0 = -3*t - i - 7. Let j be (91/t)/(-7) - 1/4. Factor -2*b**j - b**3 - 2*b**3 + 3*b + 2*b**3.
-3*b*(b - 1)*(b + 1)
Let b = -64 + 1460. Let j = -1394 + b. Solve 8/3*h**j + 16/3*h**3 - 4*h - 8/3 + 0*h**4 - 4/3*h**5 = 0 for h.
-1, 1, 2
Let w be ((-2)/(-10))/(10/25). Let t = 2082 - 2080. Factor -w*z - 1/2*z**t + 1.
-(z - 1)*(z + 2)/2
Factor 1/2*n**2 + 105/2 + 13*n.
(n + 5)*(n + 21)/2
Let t(m) = -m**4 + 270*m**3 - 498*m**2 - 779*m + 5. Let q(d) = 3*d**4 - 675*d**3 + 1245*d**2 + 1947*d - 12. Let a(s) = 5*q(s) + 12*t(s). Factor a(f).
3*f*(f - 43)*(f - 3)*(f + 1)
Suppose -4084/5*m + 2/5*m**2 + 2084882/5 = 0. What is m?
1021
Suppose 214154*o - 474338 - 1510*o**2 - 2*o**3 - 690440*o - 440*o**2 = 0. What is o?
-487, -1
Let a be (-60)/(-16)*(-15 + 19). Suppose 0 = l + 3*l + b - 60, -l = b - a. Factor l*j - 4 - 7/2*j**2.
-(j - 4)*(7*j - 2)/2
Let c(z) be the first derivative of -z**3/8 + 7311*z**2/8 - 17816907*z/8 + 7298. Factor c(n).
-3*(n - 2437)**2/8
Let l(f) be the second derivative of f**4/108 - 7*f**3/27 + 49*f**2/18 - 2281*f - 3. Factor l(a).
(a - 7)**2/9
Let w(s) be the second derivative of -s**6/2160 + s**5/80 - 7*s**4/72 + 22*s**3/3 - 2*s - 27. Let p(v) be the second derivative of w(v). Solve p(k) = 0 for k.
2, 7
Let g(a) = 5*a**2 + 7*a + 9. Let f be g(-1). Let w be (352/(-240))/(-11) - f/(-10). Factor -5 - 25/6*v - w*v**2.
-5*(v + 2)*(v + 3)/6
Suppose -9*i + 43*o + 76 = 39*o, i = -o - 6. What is w in -1/9*w**3 - 16/3*w - i - 13/9*w**2 = 0?
-6, -1
Let l(a) = -a**2 - 26*a - 23. Let r be l(-18). Let -5*p**2 - 5*p**3 + 234*p - 103*p - r*p = 0. Calculate p.
-2, 0, 1
Let q(o) be the first derivative of -4/3*o**3 + 59 - 32*o + 12*o**2. Factor q(y).
-4*(y - 4)*(y - 2)
Factor -858/5 + 426/5*d**2 - 3/5*d**3 + 87*d.
-3*(d - 143)*(d - 1)*(d + 2)/5
Let x = 88 + 8. Let c be (x/72)/(4/9). Determine r, given that 52 - 21*r - 28 + c*r**2 + 3*r = 0.
2, 4
Let c(o) = -o**2 - 2*o - 2. Let f(y) = -14*y**3 + 149*y**2 - 314*y + 54. Let b(t) = 18*c(t) - 2*f(t). What is i in b(i) = 0?
2/7, 2, 9
Let i(z) = 4*z**4 + 104*z**3 - 216*z**2 - 52*z. Let l(c) = -8*c**4 - 209*c**3 + 432*c**2 + 117*c. Let f(y) = 9*i(y) + 4*l(y). Suppose f(v) = 0. What is v?
-27, 0, 2
Let r(g) be the first derivative of 15*g**4/4 - 208*g**3 + 1494*g**2 + 1296*g + 273. What is d in r(d) = 0?
-2/5, 6, 36
Let n(r) be the second derivative of r**6/90 + r**5/30 - r + 20. Determine c so that n(c) = 0.
-2, 0
Let n(u) be the second derivative of -5*u**7/42 - 19*u**6/6 + 167*u**5/4 - 635*u**4/4 + 195*u**3 - 1776*u. Solve n(i) = 0 for i.
-26, 0, 1, 3
Let z(t) = -54*t - 58*t**2 - 2*t**3 + 94*t**2 - 56*t**2 - 9*t - 33. Let i(g) = 2*g**3 + 20*g**2 + 66*g + 32. Let w(y) = 3*i(y) + 4*z(y). Factor w(l).
-2*(l + 1)*(l + 3)*(l + 6)
Let z = -52251 + 52251. Factor 0 - 8/9*c**2 + 4/9*c**4 + z*c + 4/9*c**3.
4*c**2*(c - 1)*(c + 2)/9
Let l(g) be the first derivative of -g**4/3 - 64*g**3/3 - 512*g**2 + 60*g - 96. Let w(i) be the first derivative of l(i). Factor w(j).
-4*(j + 16)**2
Suppose -9*l + 10*l = -4*l. Let q(x) be the second derivative of -1/10*x**5 + l*x**2 + 1/75*x**6 + 4*x - 4/15*x**3 + 4/15*x**4 + 0. Factor q(h).
2*h*(h - 2)**2*(h - 1)/5
Let j(g) be the third derivative of -g**7/42 + 89*g**6/24 - 703*g**5/4 + 28595*g**4/24 - 9245*g**3/3 + 1440*g**2. Factor j(t).
-5*(t - 43)**2*(t - 2)*(t - 1)
Suppose 15 - 13/3*m**2 - 1/3*m**3 - 31/3*m = 0. Calculate m.
-9, -5, 1
Let p(z) be the third derivative of z**5/210 + 31*z**4/84 - 20*z**3/3 + 40*z**2 + 18*z + 3. Factor p(b).
2*(b - 4)*(b + 35)/7
Let k(i) be the first derivative of i**4/36 + 37*i**3/27 + 335*i**2/18 + 299*i/9 - 14334. What is o in k(o) = 0?
-23, -13, -1
Let l = -2454 - -17202/7. What is w in l - 27/7*w + 3/7*w**2 = 0?
1, 8
Let b be 4/1 + (3 - -98) + -2. Let s = -101 + b. Factor u + 4 + s - 7 - u**2 - 3*u.
-(u + 1)**2
Let m(l) be the third derivative of l**6/120 + 611*l**5/10 + 373321*l**4/2 + 912396524*l**3/3 + 5*l**2 + 7*l + 35. Solve m(s) = 0 for s.
-1222
Let x = -240937/4 - -61086. Let s = 852 - x. Factor 3/4*n - s - 3/4*n**2 + 1/4*n**3.
(n - 1)**3/4
Let f(s) = 2*s - 4. Let m be f(2). Suppose 3*j = -v - 2*j - 1, m = -j - 1. Factor -7 + 58*t - v*t**2 - 42*t - 5.
-4*(t - 3)*(t - 1)
Let n = -1002146 + 11023610/11. Factor n*y**2 + 0 + 3/11*y**3 - 1/11*y**4 + 0*y.
-y**2*(y - 4)*(y + 1)/11
Factor 13*k**3 + 95/7*k - 184/7*k**2 - 2/7.
(k - 1)**2*(91*k - 2)/7
Suppose -4*g + 3*o = -9848, 5*g + 4*o - 9264 = 3015. Let i = g + -31951/13. Factor 16/13 - 56/13*t - 2/13*t**5 + 76/13*t**2 - 50/13*t**3 + i*t**4.
-2*(t - 2)**3*(t - 1)**2/13
Let z(c) be the third derivative of -c**6/200 + 93*c**5/100 + 143*c**4/20 + 96*c**3/5 - 1477*c**2. Factor z(w).
-3*(w - 96)*(w + 1)*(w + 2)/5
Solve 146*j - 440/3 + 2/3*j**2 = 0.
-220, 1
Determine i so that 246*i + 16*i**5 - 112*i**3 + 4*i**4 - 333*i - 124*i**2 + 63*i = 0.
-2, -1, -1/4, 0, 3
Suppose 3392*v - 2*h + 50 = 3398*v, 4*v - 2*h + 20 = 0. What is l in -1/2*l**v + 1/2*l**2 - 1/2*l**4 + 0*l + 0 + 1/2*l**5 = 0?
-1, 0, 1
Suppose 0 = 27*u - 62 - 3718. Let y be 15/(-3) - (-760)/u. Factor 15/7*f - 18/7 + y*f**2.
3*(f - 1)*(f + 6)/7
Let j(i) be the first derivative of 0*i - 11/15*i**3 + 3/20*i**4 + 88 - 2/5*i**2. Factor j(z).
z*(z - 4)*(3*z + 1)/5
Suppose -836/7*y + 6/7*y**3 + 494/7*y**2 + 48 = 0. What is y?
-84, 2/3, 1
Let r(g) be the second derivative of -g**5/10 + 25*g**4/6 - 94*g**3/3 - 120*g**2 + 282*g + 1. Factor r(k).
-2*(k - 20)*(k - 6)*(k + 1)
Let y(c) be the first derivative of 8*c**5/15 - 7*c**4/3 - 208*c**3/9 + 98*c**2 - 120*c - 543. Solve y(k) = 0 for k.
-5, 1, 3/2, 6
Let j(x) be the first derivative of x**4/24 + 139*x**3/3 + 14421*x**2 - 174724*x/3 - 7878. Factor j(p).
(p - 2)*(p + 418)**2/6
Let i(g) be the first derivative of -5*g**4/4 + 130*g**3/3 - 345*g**2/2 + 756. Factor i(a).
-5*a*(a - 23)*(a - 3)
Suppose -75*d = -79*d + 1296. Factor 0*r**3 + 1934*r + 40*r**2 + d - 2*r**3 - 2168*r.
-2*(r - 9)**2*(r - 2)
Find i, given that -98607 - 40361 + 2*i**2 + 182494 - 1393*i - 151*i + 254466 = 0.
386
Let j be (0 - -3)*(50/(-15) + 4). Let b(x) be the first derivative of 160*x**j + 25 + 3/4*x**4 - 100*x - 61/3*x**3. Determine p so that b(p) = 0.
1/3, 10
Let j = 41403/207010 - 1/207010. Suppose j*h**4 + 0 + 11/5*h**2 - 6/5*h - 6/5*h**3 = 0. What is h?
0, 1, 2, 3
Factor 2/13*h**3 - 86/13*h**2 - 178/13*h - 90/13.
2*(h - 45)*(h + 1)**2/13
Let h(j) = j**3 + 390*j**2 - 2400*j - 9480. Let k be h(-396). Factor -122/7*y**2 - 2/7*y**4 - 72/7 - k*y - 4*y**3.
-2*(y + 1)**2*(y + 6)**2/7
Let r(k) be the first derivative of -6*k + 1/2*k**4 + 2*k**3 - k**2 + 195. Suppose r(i) = 0. Calculate i.
-3, -1, 1
Let i = -13757949/95 + 144823. Let v = i - 32/19. Factor 2/15*m**5 + v*m**3 + 0 + 2/15*m - 8/15*m**4 - 8/15*m**2.
2*m*(m - 1)**4/15
Let g(w) be the first derivative of 3*w**4/22 + 62*w**3/11 + 177*w**2/11 + 174*w/11 + 694. Suppose g(h) = 0. Calculate h.
-29, -1
Let x(t) be the second derivative of t**4/48 - 32*t**3/3 + 255*t**2/8 + 5089*t. Factor x(z).
(z - 255)*(z - 1)/4
Let q(z) be the first derivative of 0*z + 4/5*z**5 + 196/15*z**2 + 56/3*z**3 + 253/30*z**4 - 94 + 1/45*z**6. Factor q(o).
2*o*(o + 1)**2*(o + 14)**2/15
Let c(t) = -7*t**3 - 71*t**2 - 97*t + 163. Let w(x) = -x**3 - 3*x**2 - x - 1. Let d(r) = -c(r) + 2*w(r). Determine i, given that d(i) = 0.
-11, -3, 1
Let t(g) be the third derivative of g**5/120 + 5*g**4/6 - 147*g**3/4 + 21*g**2 + g - 2. Factor t(w).
(w - 9)*(w + 49)/2
What is n in 14*n**4 + 6682672*n - 5139*n**3 + 1521720*n**2 + 1784896 + 1445*n**3 - 6283*n**3 + 685*n**3 = 0?
-4, -2/7, 334
Let f(a) be the first derivative of -4/9*a**3 - 1/3*a**2 - 109 + 1/6*a**4 + 4/3*a. Solve f(r) = 0 for r.
-1, 1, 2
Let r(j) = j**4 - j**3 + 4*j**2 - 2*j - 1. Let v(z) = -13*z**4 - 87*z**3 - 72*z**2 - 22*z - 3. Let x(m) = -3*r(m) + v(m). Factor x(o).
-4*o*(o 