3*i - 2)/12
Let n = -308985 + 308988. Factor 0*g + 0*g**2 + 22/9*g**4 + 0 - 4/3*g**n + 14/9*g**5.
2*g**3*(g + 2)*(7*g - 3)/9
Let n(m) be the second derivative of -m**4/2 - 19*m**3/3 + 9*m**2 + 2*m. Let u(g) = g**2 + 6*g - 3. Let j(t) = -6*n(t) - 39*u(t). Factor j(f).
-3*(f - 1)*(f + 3)
Let t = 174 + -129. Factor 140 - 120*i - 20*i**2 + t*i**2 + 5*i**3 - 10*i**2.
5*(i - 2)**2*(i + 7)
Factor -25/8*k**2 + 33/2*k + 1/8*k**3 - 27/2.
(k - 18)*(k - 6)*(k - 1)/8
Suppose -2*z = 2, 4*d - 4*z - 1 = -3*z. Let k(b) be the third derivative of 0 + 1/5*b**4 + d*b + 1/150*b**5 + 12/5*b**3 - 20*b**2. Let k(a) = 0. What is a?
-6
Let a(l) be the second derivative of -l**4/78 - 76*l**3/13 + 229*l**2/13 + 8660*l. Find i such that a(i) = 0.
-229, 1
Let h be (-11 + 13)*72/48. What is p in -8 + 4/5*p**h - 48/5*p**2 + 84/5*p = 0?
1, 10
Let f(p) be the first derivative of 2*p**3/3 + 662*p**2 - 5818. Solve f(o) = 0 for o.
-662, 0
Let v(y) be the second derivative of y**7/3360 + 23*y**6/240 + 529*y**5/40 + 3*y**4 - 148*y. Let q(b) be the third derivative of v(b). Let q(a) = 0. What is a?
-46
Let z = 32638670461/33422 - -707/16711. Factor 78125*y**2 + 125/2*y**4 + 9765625/2 + 3125*y**3 + 1/2*y**5 + z*y.
(y + 25)**5/2
Factor 188704*a**2 + 0 + 273*a - 188707*a**2 + 0.
-3*a*(a - 91)
Suppose 0 = -3*k + 3*s + 12, 0 = -2*k - 2*s + 3*s + 6. Let h be 137/274*(-13)/(91/(-30)). Factor 24/7*r**k - h*r**3 + 0 - 12/7*r + 3/7*r**4.
3*r*(r - 2)**2*(r - 1)/7
Let p(r) be the first derivative of r**5/5 + r**4/4 - 4*r**3 + 2564. Factor p(b).
b**2*(b - 3)*(b + 4)
Let h be 3 - (-15)/(-2)*(-32)/48. Let o be ((-6)/h)/(-2 + 35/40). Find p such that 4/3 - 16/3*p**2 + o*p + 10/3*p**3 = 0.
-2/5, 1
Let 66475*j**4 + 1434*j**2 + 102*j**3 + 2970*j + 112*j**3 - 66465*j**4 + 972 = 0. What is j?
-9, -3, -2/5
Let a(g) = -26*g**3 - 180*g**2 + 3*g + 6. Let i(y) = -8*y**3 + y + 2. Let r(x) = -2*a(x) + 6*i(x). Factor r(h).
4*h**2*(h + 90)
Let c(q) be the first derivative of -q**4/20 - 811*q**3/15 + q**2/10 + 811*q/5 - 14602. Solve c(y) = 0 for y.
-811, -1, 1
Solve -393*h - 384*h - 36*h**3 - 3*h**5 + 1166*h - 389*h - 39*h**4 = 0.
-12, -1, 0
Let j(b) be the third derivative of -b**8/3360 - b**7/12 + b**6/600 + 7*b**5/12 - b**4/240 - 35*b**3/12 - 8*b**2 - 10*b - 9. Determine f, given that j(f) = 0.
-175, -1, 1
Let s be 72/2*-6 + -3. Let f = s + 221. Let 0*h + 3/5*h**3 + 0 - 3/5*h**f = 0. What is h?
0, 1
Let r(s) = -105*s**2 - 4*s + 104*s**2 - 31 - 10*s. Let g be r(-11). Factor -3*q**3 + 3*q**5 + 2*q**3 + g*q**5 - 4*q**3.
5*q**3*(q - 1)*(q + 1)
Let c(u) be the first derivative of -4*u**5/5 + 95*u**4 + 260*u**3 - 190*u**2 - 776*u - 675. Determine b so that c(b) = 0.
-2, -1, 1, 97
Let i = 299 - 295. Let b be (-5)/(-18) + (-170)/45 + i. Solve 2 + 0*h - b*h**2 = 0 for h.
-2, 2
Factor -23520*d + 160 - 8482*d**2 + 464635*d**2 + 414057*d**2 - 429245*d**3.
-5*(d - 2)*(293*d - 4)**2
Let j be (-3*4/60 - 17/(-85))*1. Factor j + 9/7*y**3 + 6/7*y**4 + 0*y + 4/7*y**2 + 1/7*y**5.
y**2*(y + 1)**2*(y + 4)/7
Let c be 25/(-6)*(283 + -112). Let p = 720 + c. Factor 12*d + 6 + p*d**2 + 3/2*d**3.
3*(d + 1)*(d + 2)**2/2
Let k(r) be the first derivative of 0*r + 161 - 190/3*r**3 + 40*r**2 - 4*r**5 - 5/6*r**6 + 135/4*r**4. Let k(q) = 0. Calculate q.
-8, 0, 1, 2
Factor 1311/4*l + 8993/4 + 1/4*l**3 + 63/4*l**2.
(l + 17)*(l + 23)**2/4
Let p(u) be the second derivative of 2*u**7/21 + 106*u**6/15 + 337*u**5/5 + 703*u**4/3 + 1204*u**3/3 + 368*u**2 + 195*u + 4. Factor p(v).
4*(v + 1)**3*(v + 4)*(v + 46)
Let 27905*a - 5 + 2*a**3 + 4 - 27801*a + 1 + 34*a**2 = 0. Calculate a.
-13, -4, 0
Let q = -64 + 66. Let d be (q + -1)*(-2)/(-1). Factor -u - 27 + 16*u**3 + 44*u**d - 11*u + 27.
4*u*(u + 3)*(4*u - 1)
Let p(r) = -100*r + 189. Let o be p(-28). Solve 78*x + 58*x**2 + 51 + 18*x**3 - 2987*x**4 + o*x**4 - 15 = 0.
-3, -2, -1
Let j(o) be the third derivative of 5*o**8/336 + 220*o**7/21 + 49271*o**6/24 + 47851*o**5/3 + 59405*o**4/2 - o**2 - o - 57. Solve j(x) = 0 for x.
-218, -3, -1, 0
Suppose -4*q = -0*q - 16. Let t be 4 - (-4 - 2/(-2)). Factor -t*g**q + g**5 - 3*g**3 + 2*g**5 + 24*g**2 - 21*g**2 + 4*g**4.
3*g**2*(g - 1)**2*(g + 1)
Let n(o) be the third derivative of 11/240*o**5 + 0*o**4 + 0*o + 0*o**3 - 30*o**2 + 1/480*o**6 + 0. Suppose n(w) = 0. Calculate w.
-11, 0
Let d(y) be the second derivative of 0 + 0*y**2 + 1/1080*y**6 + 0*y**5 + 0*y**4 - 13/3*y**3 - 23*y. Let o(l) be the second derivative of d(l). Factor o(f).
f**2/3
Let s(m) be the first derivative of -2*m**6/3 - 88*m**5/5 + 48*m**4 + 1019. Factor s(g).
-4*g**3*(g - 2)*(g + 24)
Suppose 0 = 4*i + 4*q, -4 = -9*i + 6*i - q. Solve i*l**4 - l**4 - 4*l**3 + 6*l**4 - 3*l**4 = 0 for l.
0, 1
Suppose -66*d + 26332 = 26068. Let 0*m + 3/2*m**d + 0*m**3 + 3/2 - 3*m**2 = 0. What is m?
-1, 1
Let n(x) be the third derivative of -x**5/12 - 2035*x**4/12 - 828245*x**3/6 - 4121*x**2. Factor n(d).
-5*(d + 407)**2
Factor 2/5*o**2 - 16/5 - 4/5*o.
2*(o - 4)*(o + 2)/5
Let l(p) be the third derivative of 2*p**7/315 - 11*p**6/45 - 47*p**5/45 - 4*p**4/3 - 2635*p**2. What is c in l(c) = 0?
-1, 0, 24
Let a(r) be the third derivative of 3*r**6/2 - 87*r**5/5 - 31*r**4/3 + 32*r**3 - 2*r**2 - 684. Factor a(u).
4*(u - 6)*(3*u - 1)*(15*u + 8)
Let s(d) be the first derivative of -d**7/140 + 13*d**6/180 - d**5/30 - 2*d**4/3 - 11*d**3/3 - 3*d + 63. Let j(l) be the third derivative of s(l). Factor j(p).
-2*(p - 4)*(p - 1)*(3*p + 2)
Let a be 3/(-1) + 9/6*-2 - -9. Let q(j) be the first derivative of -2/7*j**4 + 4/7*j**2 - 6/7*j + 2/35*j**5 + 4/21*j**a - 11. Factor q(w).
2*(w - 3)*(w - 1)**2*(w + 1)/7
Determine s so that 198*s**2 + 32*s - 249*s - 135*s - 504 + 48*s**3 - 33*s**4 + 35*s**4 = 0.
-18, -7, -1, 2
Suppose -v + 6 = v. Let m = 3144512/23583615 - 2/1572241. Factor -4/15*d + m*d**v + 0 - 2/15*d**2.
2*d*(d - 2)*(d + 1)/15
Let d(x) be the third derivative of -1/455*x**7 - 54*x**2 + 0*x**3 + 1 + 1/39*x**4 - 4/195*x**5 + 0*x - 11/780*x**6. What is b in d(b) = 0?
-2, 0, 1/3
Suppose k = 81 - 77. Suppose -p - 16 = -4*s, -5*p - 13 = -k*s + 19. Factor -5 - 2*o**5 + 0*o + 6*o**4 + 3 + 6*o - 4*o**s - 4*o**2.
-2*(o - 1)**4*(o + 1)
Suppose -14*c + 497 - 427 = 0. Suppose -29*k = -27*k - 3*t, 19 = c*k + 2*t. Factor 152/17*j**2 + 162/17*j**4 + 16/17*j + 0 + 396/17*j**k.
2*j*(j + 2)*(9*j + 2)**2/17
Let a be ((-58140)/(-13770))/((-112)/(-414)) - (-3)/(-4). Find w such that 44/7*w + 4/7*w**2 - a = 0.
-13, 2
Let x be 45/6*(-8)/(-4). Factor 48 + 18*q - 38*q - 32*q - x*q**2 + 19*q**2.
4*(q - 12)*(q - 1)
Determine s so that 58/3*s**4 - 116/3*s**2 + 4/9*s**3 - 2/9*s + 58/3 - 2/9*s**5 = 0.
-1, 1, 87
Let j(u) = -4*u**3 - 20*u**2 + 6*u + 48. Let o(a) be the first derivative of a**5/5 + a**4/4 + a**2/2 + 226. Let t(h) = 2*j(h) + 4*o(h). Factor t(q).
4*(q - 3)*(q - 2)*(q + 2)**2
Let h(j) be the third derivative of 2*j**5/135 + 415*j**4/27 + 172225*j**3/27 - 4662*j**2. Factor h(w).
2*(2*w + 415)**2/9
Find g, given that -441*g**2 - 231*g - 121/4 = 0.
-11/42
What is q in 0 + 0*q - 1689/4*q**2 - 3/4*q**3 = 0?
-563, 0
Let d be ((-6)/7)/((-936)/291200*25). Let 512/3 + 4/3*l**5 - 40/3*l**4 + d*l**2 - 512/3*l + 112/3*l**3 = 0. What is l?
-2, 2, 4
Let a = 2286125/11 - 207829. Suppose -a*g**4 + 6/11*g**5 + 0 + 0*g**3 + 0*g + 0*g**2 = 0. Calculate g.
0, 1
Suppose 136*m - 1156*m**2 - 16/3 + 9826/3*m**3 = 0. What is m?
2/17
Let d(b) be the first derivative of b**3 + 45*b**2/2 - 102*b - 1210. Suppose d(q) = 0. What is q?
-17, 2
Let b(g) = -2*g**2. Let f(p) be the second derivative of -p**6/15 + 3*p**5/10 - 5*p**4/6 - 126*p. Let a(n) = -3*b(n) + f(n). Factor a(z).
-2*z**2*(z - 2)*(z - 1)
Let v = -134848/5 - -1483808/55. Factor -1152/11 - 2/11*j**2 + v*j.
-2*(j - 24)**2/11
Let u be (234/273)/(2/7). Let h(a) = -7*a**4 + 15*a**2 - 8*a - 3. Let s(p) = -22*p**4 + 46*p**2 - 24*p - 10. Let x(l) = u*s(l) - 10*h(l). Factor x(o).
4*o*(o - 1)**2*(o + 2)
Suppose -4*f = -28*q + 31*q - 152, 4*q - 27 = 5*f. Find h, given that 40/3*h + q + 4/3*h**2 = 0.
-7, -3
Let n(r) be the first derivative of r**3/9 + 34*r**2 + 404*r/3 - 2199. Determine p so that n(p) = 0.
-202, -2
Let v be 9/1*(-224)/(-672). Find l, given that 15/4*l**2 + 75/8*l**5 + 0 - 9*l**v - 15/4*l**4 - 3/8*l = 0.
-1, 0, 1/5, 1
Suppose -9*w + 35 + 10 = 0. Factor 0*o + 55 - 4*o**2 - 6*o + 2*o + w + 12*o.
-4*(o - 5)*(o + 3)
Let h