p**2 + 1904*p + 1440. Let u(b) = 10*j(b) - k(b). Factor u(v).
-(v - 15)*(v - 12)*(v + 2)**3
Let r be (4496/(-1126) + -4)/2 + 4. Let q = r + 1104/6193. Factor -q*c**2 - 4/11*c + 0.
-2*c*(c + 2)/11
Let n be 3/(6/4*(-7)/(-21)). Suppose -6*s + n*s - 2*s = 0. Factor -1/2*f**3 + s + 1/2*f + 1/2*f**2 - 1/2*f**4.
-f*(f - 1)*(f + 1)**2/2
Let r(i) be the first derivative of 56*i**5/15 + 143*i**4/2 - 634*i**3/9 - 68*i**2 + 128*i/3 + 1804. Let r(j) = 0. Calculate j.
-16, -4/7, 1/4, 1
Let p(t) be the second derivative of -t**4/4 - 40*t**3 + 127*t**2 + 7*t + 1. Let x(y) = -y**2 - 60*y + 64. Let f(l) = 6*p(l) - 22*x(l). Factor f(s).
4*(s - 29)*(s - 1)
Solve 2556/5 - 2/5*u**2 - 266/5*u = 0 for u.
-142, 9
Let t(u) = -289*u + 2312. Let i be t(8). Let d(p) be the second derivative of -2/5*p**2 + 11*p + 3/50*p**5 + i + 1/75*p**6 - 1/5*p**3 + 1/30*p**4. Factor d(z).
2*(z - 1)*(z + 1)**2*(z + 2)/5
Factor 0 + 8/3*g**3 - 250*g**2 - 188/3*g.
2*g*(g - 94)*(4*g + 1)/3
Let 23469757*j**3 - 125*j**4 - 14880*j**2 + 11998*j - 23465307*j**3 + 3522*j - 5120 = 0. What is j?
4/5, 2, 32
Let h be (-2 - -1)/((2 - 1)/(-97)). Factor -52*t - 49 - 101*t**2 + h*t**2 - 18 - 28 - 49.
-4*(t + 4)*(t + 9)
Let m be 6/(-21) + 232/28. Suppose 28 = m*q - 4. Factor 5*g**3 - q*g**3 - g**3 + g**3 + 2*g**2.
g**2*(g + 2)
Let x(t) = 2*t**2 - 52*t + 2. Let p be x(26). Suppose 4*n - 8 = -p*d, -1 = -4*n - d + 3. Let 0*q + 0 + n*q**2 + 5/2*q**3 = 0. Calculate q.
0
What is k in 2/7*k**2 + 156/7 - 58/7*k = 0?
3, 26
Factor -9*t**2 - 6*t**4 - 6*t**3 + 8*t**2 + 0*t**3 - 5*t**2 - t**5 - 5*t**3.
-t**2*(t + 1)*(t + 2)*(t + 3)
Let n = -40599/70 + 580. Let b(f) be the third derivative of 0 - 10*f**2 - 1/2*f**4 + n*f**7 - 3/10*f**5 + 0*f + 1/40*f**6 + 4*f**3. Let b(a) = 0. What is a?
-2, 1, 2
Let y = -330 + 335. Solve -38*m - 11 + 7 + 28*m - y*m**2 + 4 = 0 for m.
-2, 0
Let f(c) be the first derivative of 4*c**6/9 - 28*c**5/3 + 17*c**4/3 - 1285. Factor f(i).
4*i**3*(i - 17)*(2*i - 1)/3
Let y = -21 - -18. Let j be ((-3)/(-9))/(y/(-27)). Let 4*l + 2*l - 645*l**j + 643*l**3 + 4 = 0. Calculate l.
-1, 2
Let s(b) be the second derivative of 0 + 0*b**2 + 9/4*b**4 + 82*b + b**3 - 33/20*b**5. Suppose s(r) = 0. What is r?
-2/11, 0, 1
Suppose 3*r = -3*m + 27, -23*m + 32 = -19*m + 3*r. Let 1/2*k**m + k**2 + 2*k**4 + 0*k + 0 + 5/2*k**3 = 0. What is k?
-2, -1, 0
Suppose -715*u = -699*u - 512. Suppose -4*j + u = 4*i, 67*i - 20 = 62*i. Factor -5/6*w**3 + 0*w - 2/3*w**j - 1/6*w**5 - 1/3*w**2 + 0.
-w**2*(w + 1)**2*(w + 2)/6
Suppose -80*q - 4*n = -81*q + 68, -6*n = -3*q + 108. Suppose -25/6*x**3 + 2/3*x**q + 25/6*x - 1 + 1/3*x**2 = 0. What is x?
-1, 1/4, 1, 6
Let t(r) be the first derivative of 5*r**3/3 + 20*r**2 - 725. Factor t(s).
5*s*(s + 8)
Factor 81*w**3 - 54921*w**4 + 51*w + 27*w + 54918*w**4 - 288*w**2 + 198*w.
-3*w*(w - 23)*(w - 2)**2
Let r(a) be the first derivative of a**3/3 - 43*a**2/2 - 44*a + 1807. Determine j so that r(j) = 0.
-1, 44
Let o = -54140 - -54382. Suppose 1/2*p**2 - 22*p + o = 0. What is p?
22
Let m(v) be the first derivative of 25/2*v + 45 - 55/8*v**2 - 7/3*v**3 - 3/16*v**4. What is o in m(o) = 0?
-5, 2/3
Let v be (6 + (-144)/27)*1370/20 + 1. Factor -v - 20*n + 5/3*n**2.
5*(n - 14)*(n + 2)/3
Let l(s) be the second derivative of s**4/18 + 860*s**3/27 + 572*s**2/9 - 925*s. Factor l(u).
2*(u + 286)*(3*u + 2)/9
Let y = -731/4 + 183. Let d(c) be the first derivative of -20 + 1/18*c**3 + 1/3*c + y*c**2. Factor d(f).
(f + 1)*(f + 2)/6
Let r(h) be the first derivative of 3*h**5/70 + 2*h**4/7 + 4*h**3/7 + 3*h + 16. Let w(d) be the first derivative of r(d). Factor w(i).
6*i*(i + 2)**2/7
Determine y so that -55/12*y - y**2 + 25/2 + 1/12*y**3 = 0.
-5, 2, 15
Factor -30 - 117*b - 41 - 14*b**2 + 69*b**2 - 100 + b**3 + 0*b**3.
(b - 3)*(b + 1)*(b + 57)
Let h(i) be the second derivative of i**7/56 + 291*i**6/40 + 84681*i**5/80 + 912673*i**4/16 - i - 1207. Factor h(m).
3*m**2*(m + 97)**3/4
Let p(t) be the second derivative of -3*t - 30*t**2 + 0 + 62/3*t**3 - 17/3*t**4 + 1/5*t**5. Factor p(a).
4*(a - 15)*(a - 1)**2
Factor 228/5 - 13/5*a - 1/10*a**2.
-(a - 12)*(a + 38)/10
Let z = -647417 + 647420. Determine y, given that -1/5*y**4 + 1 + 6/5*y**z - 4/5*y**2 - 6/5*y = 0.
-1, 1, 5
Let o(q) = -13*q**2 + 214*q - 2863. Let i(r) = 3*r**2 - 50*r + 716. Let w(t) = 17*i(t) + 4*o(t). Find s, given that w(s) = 0.
-24, 30
Let k(u) be the third derivative of -u**5/330 - 20*u**4/33 + 83*u**3/11 - 983*u**2. Factor k(o).
-2*(o - 3)*(o + 83)/11
Let s(x) be the first derivative of 0*x + x**5 + 0*x**2 + 83 + 0*x**4 + 0*x**3 - 5/6*x**6. Factor s(f).
-5*f**4*(f - 1)
Suppose 3*w - 16 - 2 = -5*i, -i - 3*w = -6. Suppose -2*q - 3*l + 14 = 0, 3*l + 18 = i*q - 3. Factor 7 + 4*g - 4 + q*g**2 - 6*g**2 + 0*g.
(g + 1)*(g + 3)
Let g(h) = h**2 + 820*h - h**3 - 5 - 819*h + 14*h**2. Let r(u) = u**3 - 13*u**2 - u + 5. Let b(l) = 4*g(l) + 5*r(l). Factor b(m).
(m - 5)*(m - 1)*(m + 1)
Let h(n) = 38*n - 97. Let g be h(12). Let v = -1075/3 + g. Factor -v*y**2 - 8/3 - 10/3*y.
-2*(y + 1)*(y + 4)/3
Let v be (-55 + -1)*(2/(-1) + 64). Let y be (-4)/6 - (v/12)/14. Let 90*h**3 + 105*h**2 + 95/2*h + 15/2 + y*h**4 = 0. What is h?
-3, -1/2
Factor 0 - 1/3*k**3 - 92*k**2 + 0*k.
-k**2*(k + 276)/3
Let h(w) be the first derivative of -w**5/30 + 2*w**4/9 + 96*w + 175. Let a(u) be the first derivative of h(u). Factor a(i).
-2*i**2*(i - 4)/3
Let i = -49 - 40. Let z = -86 - i. Factor -z*v**2 + 8*v - 11*v + 18 + 6*v.
-3*(v - 3)*(v + 2)
Let n(q) be the third derivative of -121*q**8/126 + 1012*q**7/315 + 3197*q**6/60 + 5369*q**5/45 - 259*q**4/9 + 8*q**3/3 + 766*q**2 + 2. Let n(g) = 0. What is g?
-2, 1/22, 6
What is s in 46*s**3 - 64*s**4 - 570*s + 474*s**3 - 2925*s**5 + 20*s**3 + 28*s**3 + 2927*s**5 - 836*s**2 + 900 = 0?
-1, 1, 2, 15
Let k(s) be the second derivative of -s**5/12 + 275*s**4/12 - 15125*s**3/6 - 187*s**2/2 + 11*s - 3. Let w(m) be the first derivative of k(m). Factor w(r).
-5*(r - 55)**2
Let i(k) = -k**3 - 23510*k**2 - 23002584*k - 7506509898. Let j(h) = -h**3 - 11754*h**2 - 11501292*h - 3753254950. Let w(c) = 3*i(c) - 7*j(c). Factor w(m).
4*(m + 979)**3
Suppose 18*m = 17*m + 6215. Factor 3*r**2 + 1791 + 399 + 2*r**2 - 410*r + m.
5*(r - 41)**2
Let c(x) be the second derivative of -21*x - 1/70*x**5 - 4/21*x**3 - 16/7*x**2 + 1 - 1/105*x**6 + 2/7*x**4. Solve c(i) = 0.
-4, -1, 2
Let j be (7 + (-1728)/(-45))/(1/(-5)). Let t = j - -1138/5. Factor -4/5 + h**2 + 4/5*h - t*h**3.
-(h - 2)*(h + 1)*(3*h - 2)/5
Let k(q) = -q**3 - 19*q**2 - 16*q + 38. Let y be k(-18). Suppose -18*g + 187 - 187 - 3*g**y + 0*g**2 = 0. What is g?
-6, 0
Let s(j) be the third derivative of 11*j**5/420 + j**4/4 + 20*j**3/21 + 2*j**2 - 131*j. Let s(k) = 0. What is k?
-2, -20/11
Suppose 49*i - 866 - 17607 = 0. Suppose 386*x - 18 = i*x. Suppose -6*g**3 + 0 - 3/2*g**4 + 0*g + 3/2*g**x + 6*g**5 = 0. Calculate g.
-1, 0, 1/4, 1
Solve 165/4*u**2 - 725/4 + 555/4*u + 5/4*u**3 = 0.
-29, -5, 1
Factor -68*o**3 + 0 - 132*o**2 - 196/3*o - 4/3*o**4.
-4*o*(o + 1)**2*(o + 49)/3
Let h = -94 + 1411/15. Let t(y) be the first derivative of -2*y**3 - h*y**5 - 4 - 7/12*y**4 - 8/3*y - 10/3*y**2. Factor t(b).
-(b + 1)*(b + 2)**3/3
Factor -1/2*n**2 + 7/2*n + 85.
-(n - 17)*(n + 10)/2
Let z(u) be the third derivative of -u**6/600 + 13*u**5/300 - 19*u**4/120 - 11*u**3/10 - 3451*u**2. Factor z(l).
-(l - 11)*(l - 3)*(l + 1)/5
Suppose -7 = -o + 4*v - 8, -3*o - v = 16. Let s be (o - -6)*6/2. Factor 0 - 3/5*n**5 + 12/5*n**4 + 6/5*n**2 - 3*n**s + 0*n.
-3*n**2*(n - 2)*(n - 1)**2/5
Let s = 62/11 + -919/165. Let x(i) be the first derivative of 1/10*i**2 + s*i**3 - 12 - 1/5*i - 1/20*i**4. Let x(y) = 0. What is y?
-1, 1
Let h be -5 - (26 + -5 + 2)*-1. Let o be h/27*54/8. Factor 6*u**2 + 3/2*u**3 + o*u + 0.
3*u*(u + 1)*(u + 3)/2
Let n(f) = 8 + 11 - f - 26 + f**3 + 5. Let z(a) = -20*a**3 + 128*a**2 + 908*a - 2264. Let r(j) = 24*n(j) + z(j). Solve r(q) = 0 for q.
-17, 2
Let f = -32128/3 - -10710. Let h(a) be the first derivative of 0*a**4 + 8 + 2/5*a**5 - f*a**3 + 0*a**2 + 0*a. Find m, given that h(m) = 0.
-1, 0, 1
Let h(n) be the first derivative of -5*n**6/6 - 21*n**5 + 15*n**4/4 + 305*n**3/3 - 105*n**2 + 292. Determine k so that h(k) = 0.
-21, -2, 0, 1
Let m(y) = 203*y**2 + 141*y - 224. Let t(u) = -135*u**2 - 90*u + 150. Let k(d) = -5*m(d) - 8*t(d). Fa