/13*o**3 + 16/13*o**2.
2*(o + 2)*(o + 3)**2/13
Let g(t) = -t**2 - 26*t - 21. Let q be g(-25). Factor 12*w + 5 + 14*w**2 + q - 11*w**2.
3*(w + 1)*(w + 3)
Suppose 6195*t - 7091*t = 0. Determine q so that 0 + 2/5*q - 4/5*q**3 + 0*q**2 + 2/5*q**5 + t*q**4 = 0.
-1, 0, 1
Let q = 7867 - 7862. Let m(h) be the third derivative of 0*h - 1/4*h**q + 17*h**2 + 0*h**3 - 1/10*h**6 - 1/4*h**4 - 1/70*h**7 + 0. Factor m(z).
-3*z*(z + 1)**2*(z + 2)
Suppose -17 = -10*l + 9*l. Suppose l*u - 12*u = 25. Factor -16 - 2*n**3 - 7*n - 12*n - u*n - 12*n**2.
-2*(n + 2)**3
Let p(m) be the second derivative of -5/3*m**4 + 160*m - 56/3*m**3 - 30*m**2 + 0. Solve p(i) = 0.
-5, -3/5
Let j(y) be the third derivative of -y**7/630 + y**6/360 + 2*y**5/45 - y**4/6 + 1631*y**2. Solve j(g) = 0.
-3, 0, 2
Let s = 495950/3 + -165306. Determine y, given that -s + 64/3*y - 14/3*y**2 = 0.
4/7, 4
Let a(s) = 6*s**3 - 417*s**2 - 887*s - 449. Let h(o) = -5*o**3 + 422*o**2 + 887*o + 448. Let i(d) = -4*a(d) - 5*h(d). What is y in i(y) = 0?
-1, 444
Solve 3684*p**3 - 3*p**4 + 4*p**4 - 3741*p**3 + 110*p**2 = 0.
0, 2, 55
Let o(i) = -1488*i**2 + 4181*i - 12375. Let v(r) = 313*r**2 - 836*r + 2475. Let h(f) = -4*o(f) - 19*v(f). Factor h(l).
5*(l - 165)*(l - 3)
Let b = 26/53 - -296/477. Factor 2/9*s**2 - b*s + 8/9.
2*(s - 4)*(s - 1)/9
Let t(d) be the third derivative of 1/390*d**5 + 243*d**2 + 0*d + 2809/39*d**3 + 53/78*d**4 + 0. Factor t(i).
2*(i + 53)**2/13
Suppose 6*g - 13 + 1 = 0. Find h such that -14*h**3 + 9377*h**g + 257*h - 10655*h**2 - 1118*h - 144 + 41*h**3 = 0.
-1/3, 48
Let r be (-26)/(-14) - ((-9)/((-18)/4))/(-14). Determine x so that -12/5*x - 2/5*x**r + 14/5 = 0.
-7, 1
Suppose -37335 = -100*s + 81*s. Let y = -5891/3 + s. Determine i, given that 14/3*i - 8/3*i**3 - y + 10/3*i**2 = 0.
-1, 1/4, 2
Let m(a) = a**2 + 6307*a - 25244. Let t be m(4). Suppose 0*v + 22/15*v**2 + 178/15*v**3 + 32/15*v**5 + t + 368/15*v**4 = 0. What is v?
-11, -1/4, 0
Suppose -100 = -47*n + 45*n. Suppose -49*u - 2 = -n*u. Solve 2/3*y**u - 2*y - 8/3 = 0 for y.
-1, 4
Factor -28*f + 213*f**2 + 949*f - 5*f**3 - 121*f + 77*f**2 - 176000.
-5*(f - 40)**2*(f + 22)
Suppose 2*p + 31 = 35. Let w be (3/(-18)*(4 - 4))/(-2). What is z in -3/7*z**p - 6/7*z**5 - 15/7*z**4 - 12/7*z**3 + 0 + w*z = 0?
-1, -1/2, 0
Let f(b) = 2*b**4 - 4*b**3 + 98*b**2 - 104*b - 4. Let l(g) = -g**4 + 4*g**3 - 102*g**2 + 105*g + 3. Let h(k) = -3*f(k) - 4*l(k). Find a, given that h(a) = 0.
-9, 0, 1, 6
Let k(v) be the second derivative of v**4/15 - 22*v**3/3 + 1452*v**2/5 - 522*v - 3. Factor k(l).
4*(l - 33)*(l - 22)/5
Let m(v) be the first derivative of -v**8/336 - v**7/168 + v**6/36 + 23*v**3/3 - 41. Let d(z) be the third derivative of m(z). Find q such that d(q) = 0.
-2, 0, 1
Let p(n) be the second derivative of -n**5/130 - n**4/13 + 25*n**3/39 - 18*n**2/13 - 1407*n. Factor p(s).
-2*(s - 2)*(s - 1)*(s + 9)/13
Let t(v) be the first derivative of -3*v**5/20 - 483*v**4/8 + 325*v**3/4 + 969*v**2/4 - 8170. Suppose t(b) = 0. Calculate b.
-323, -1, 0, 2
Let g(w) = -9*w**3 - 3*w**2 + 16*w - 6. Let o(l) = 10*l**3 + 2*l**2 - 16*l + 7. Let t = 453 + -450. Let u(b) = t*g(b) + 2*o(b). Factor u(d).
-(d - 1)*(d + 2)*(7*d - 2)
Let f(v) = -v**3 + 19*v**2 - 18*v - 19. Let i be f(18). Let c = i + 26. Factor 3*z + c*z + 3*z**2 + 5 + 2*z**2.
5*(z + 1)**2
Let s(h) be the third derivative of -h**8/7560 + h**7/420 + h**6/162 + 91*h**3/6 - 42*h**2. Let p(b) be the first derivative of s(b). Let p(g) = 0. What is g?
-1, 0, 10
Let r = 44118 + -220584/5. Determine p so that -8/5*p**2 + 1/5*p**5 + 2/5*p**4 - r*p**3 + 6/5 + p = 0.
-3, -1, 1, 2
Find x such that -91/8*x**3 + 573/8*x**2 - 873/8*x + 0 - 1/8*x**4 = 0.
-97, 0, 3
What is m in 1/6*m**2 + 9/2 + 2*m = 0?
-9, -3
Factor 2/21*b**3 + 156/7 + 110/7*b + 64/21*b**2.
2*(b + 3)**2*(b + 26)/21
Suppose v - 18 = -4*u, 3*u + 290*v = 289*v + 16. Determine z, given that 0*z**u - 1/3*z**4 + 2/3*z**3 - 2/3*z + 1/3 = 0.
-1, 1
Let y be ((-3)/(-30))/(124/248)*(-7776)/(-4). Suppose 54/5*p**2 + 1296/5*p - 18*p**3 + y - 6/5*p**4 + 2/5*p**5 = 0. What is p?
-3, 6
Let v(a) be the first derivative of 2*a**3/21 + 1846*a**2/7 + 1703858*a/7 - 3222. Factor v(i).
2*(i + 923)**2/7
Let k(c) = 2*c**3 + 39*c**2 + 177*c - 54. Let j be k(-8). Factor 11*s + 12*s**j + 7/2 + 1/2*s**4 + 5*s**3.
(s + 1)**3*(s + 7)/2
Let l(g) = -g**3 - g**2 - 4*g - 4. Let f be l(-1). Suppose 3*d + 2*d - 85 = f. Factor -64*r**3 - 15*r + d*r**2 + 16 + 271*r**2 - 117*r.
-4*(r - 4)*(4*r - 1)**2
Let s(d) = 14*d**2 + 40*d - 4. Let z be s(-3). Factor 3*f**3 + 14*f - 24*f**z + 3*f**4 - 8*f**3 + 0*f**3 + 22*f + 2*f**3.
3*f*(f - 2)**2*(f + 3)
Let c = 170139 - 850646/5. Factor c*z**4 - 948/5*z**2 - 472/5*z - 64/5 - 266/5*z**3.
(z - 8)*(z + 2)*(7*z + 2)**2/5
Suppose 4*p + 4*p = 7376. Let g = 4613/5 - p. Factor g + 0*y - 3/5*y**2.
-3*(y - 1)*(y + 1)/5
Let h be (2/3)/(136/119 + 36/(-42)). Determine g, given that -2/3*g + 0 + 3*g**2 - h*g**3 = 0.
0, 2/7, 1
Suppose 50/3*n**2 + 140/9*n**3 - 568/9 - 560/9*n - 2/9*n**4 = 0. What is n?
-2, -1, 2, 71
Let k(n) be the first derivative of n**6/600 + n**5/300 - n**4/60 + n**2/2 - 2*n - 44. Let w(c) be the second derivative of k(c). Factor w(g).
g*(g - 1)*(g + 2)/5
Let y(t) be the third derivative of -t**7/210 - t**6/60 + t**5/60 + t**4/12 - 4640*t**2. Factor y(u).
-u*(u - 1)*(u + 1)*(u + 2)
Let j(s) be the second derivative of s**5/10 - 13*s**4/6 - 29*s**3/3 - 15*s**2 + s - 235. Factor j(r).
2*(r - 15)*(r + 1)**2
Find o, given that -36*o**3 - 27/5*o**4 + 54*o + 321/5*o**2 + 48/5 = 0.
-8, -1/3, 2
Suppose -10 = -15*o + 10*o, 2*o + 128 = 11*k. Let d(w) be the first derivative of 0*w - 1/4*w**2 + 1/6*w**3 + k. Find i, given that d(i) = 0.
0, 1
Let h = -341 - -345. Solve 11*m**3 - 2*m**h + 2*m**5 + 70887 + 18*m - 31*m**3 - 70905 + 20*m**2 = 0.
-3, -1, 1, 3
Let v(m) be the second derivative of -1/2*m**4 + 7*m + 0 - 1/10*m**5 + 8*m**2 + 2*m**3. Determine p so that v(p) = 0.
-4, -1, 2
Factor -30561*r + 6262 + 16522*r**2 - 3346 - 243*r**3 + 42635*r**2 + 4305*r.
-3*(r - 243)*(9*r - 2)**2
Let s = 12486949/92955 - -2/30985. Let u = -133 + s. Solve 2/3*h - 2/3*h**3 + 4/3*h**2 - u = 0 for h.
-1, 1, 2
Let y(b) = -151*b - 14644. Let g be y(-97). Let q be (-6)/4*4/(-14). Factor -9/7*i**g + 0 - 9/7*i**2 - q*i - 3/7*i**4.
-3*i*(i + 1)**3/7
Find m, given that 1654*m**3 - 296*m**2 + 537*m**4 + 1228*m**2 + 14*m**4 + 832*m + 1144*m**2 - 143*m**4 - 2*m**5 = 0.
-2, -1, 0, 208
Let d(l) = -5 + 8 + 3*l - 6 - 3. Let y be d(10). Solve 4*r**2 + 5508 - y*r - 5508 = 0.
0, 6
Let b(h) be the third derivative of h**8/84 - 4*h**7/3 - 37*h**6/15 + 212*h**5/15 + 73*h**4/6 - 284*h**3/3 - 1037*h**2. What is y in b(y) = 0?
-2, -1, 1, 71
Let u(c) be the first derivative of 3*c**4/4 - 37*c**3/2 + 18*c**2 - 21*c - 20. Let m(x) be the first derivative of u(x). Find k such that m(k) = 0.
1/3, 12
Let t(c) = 12*c - 151. Let m be t(13). What is b in m*b - 2*b - 10 - b**2 + 10*b + 4*b - 6*b = 0?
1, 10
Suppose 1692 = 5*p + 5*i + 1642, 4*p + 16 = 4*i. Factor -2/11*k**p + 2/11*k - 4/11 + 4/11*k**2.
-2*(k - 2)*(k - 1)*(k + 1)/11
Suppose -3 + 7 = -2*p + 2*q, -2*p + q = -2. Let j(x) be the first derivative of 0*x + 15/4*x**p + 0*x**3 - x**5 - 10*x**2 + 20. Factor j(b).
-5*b*(b - 2)**2*(b + 1)
Let u(p) be the third derivative of -p**7/7560 - p**6/1080 + p**5/120 - 13*p**4/8 - 5*p**2 + 3. Let j(h) be the second derivative of u(h). Factor j(q).
-(q - 1)*(q + 3)/3
Let f(q) be the third derivative of -q**6/40 - 63*q**5/10 - 1023*q**4/2 - 3844*q**3 + 260*q**2 + 2. Let f(d) = 0. Calculate d.
-62, -2
Let y be 6/(-8)*(8*18/(-576))/((-6)/(-296)). Factor 0*z - y*z**2 + 1/4*z**3 + 0.
z**2*(z - 37)/4
Let s(u) = -2*u**2 - 31*u + 193. Let g(o) = -o**2 - 2*o - 1. Let r(t) = -2*t**2 - 32*t + 193. Let d(v) = -g(v) + r(v). Let c(x) = 3*d(x) - 2*s(x). Factor c(k).
(k - 14)**2
Let s(o) be the third derivative of o**6/40 + 11*o**5/10 + 35*o**4/2 + 100*o**3 - 38*o**2 - 5. Factor s(j).
3*(j + 2)*(j + 10)**2
Suppose -11 + 192388*n**3 - 37 + 4*n**4 - 34*n**4 - 192394*n**3 + 14*n**5 + 253*n**2 - 85*n**4 - 98*n = 0. Calculate n.
-3/2, -2/7, 1, 8
Suppose -140/3*u**2 + 32*u - 11/3*u**4 + 0 + 68/3*u**3 = 0. What is u?
0, 2, 24/11
Let s = 451639 + -451637. Factor 6/11*d**3 + 30/11*d**s + 48/11*d + 24/11.
6*(d + 1)*(d + 2)**2/11
Let m(d) be the firs