 -5*y(x) + 3*z(x). Factor f(c).
5*(c - 16)*(c - 3)*(c - 1)**2
Let s = 60 - 56. Suppose -4*q - 3*h + 0*h + 11 = 0, -s*h = -q - 2. Solve 3*a**3 + 5*a**4 + 4*a**3 + 4*a**2 + 6*a**q + 8*a**3 = 0.
-2, -1, 0
Let p = -660244 + 4621710/7. Factor p*h**3 - 18/7*h**2 + 30/7*h - 2.
2*(h - 7)*(h - 1)**2/7
Let x = -163423/2 + 81713. Factor 0*t + 0*t**2 + 0 + 3*t**3 + x*t**4.
3*t**3*(t + 2)/2
Factor 0 + 1/3*k**3 - 2/9*k**2 - 8/9*k.
k*(k - 2)*(3*k + 4)/9
Suppose -3*j - 3 = 3*r, 4*j - 4*r + 61 - 41 = 0. Let s be ((-4)/j)/(6/27). Let 14/5*u**3 + 18/5*u + 2/5*u**4 + s*u**2 + 0 = 0. Calculate u.
-3, -1, 0
Let z(m) be the second derivative of 1/294*m**7 + 1/42*m**3 + 0*m**6 - 1/70*m**5 + 0*m**2 + 0*m**4 + 1 + 4*m. Factor z(i).
i*(i - 1)**2*(i + 1)**2/7
Let t(c) be the first derivative of -c**4/3 - 64*c**3/3 - 512*c**2 - 6*c + 32. Let k(p) be the first derivative of t(p). Let k(l) = 0. Calculate l.
-16
Find r, given that -16928*r - 17666*r**3 + 25*r**5 + 88*r**5 + 372*r**4 + 50548*r**2 - 115*r**5 - 16324*r**2 = 0.
0, 1, 92
Factor -1/7*r**2 + 696/7*r - 121104/7.
-(r - 348)**2/7
Solve 0*y**2 - 170*y + y**2 + 89240 + 156539 - 874*y + 26705 = 0.
522
Let d(n) = -n**3 + 39*n**2 - 81*n + 262. Let c be d(37). Let p(t) be the first derivative of t + 3/2*t**2 + 6 - 4/3*t**c. What is s in p(s) = 0?
-1/4, 1
Factor -3/7*l**2 + 6*l - 144/7.
-3*(l - 8)*(l - 6)/7
Let m(y) be the second derivative of y**7/441 - 4*y**6/105 - y**5/210 + 64*y**4/63 + 20*y**3/21 - 176*y**2/21 + 4221*y. Let m(c) = 0. Calculate c.
-2, 1, 4, 11
Let y(l) = -2 - 4*l**2 + 2*l**2 + 5*l + 5*l**2. Let x(h) = -13*h**2 - 21*h + 7. Let p = -21 - -23. Let o(j) = p*x(j) + 9*y(j). Find t such that o(t) = 0.
-4, 1
Factor 430*v - 32*v**2 - 108 + 61*v**2 - 320 - 31*v**2.
-2*(v - 214)*(v - 1)
Suppose -4*a + 3*v + 5643 = 0, 2*a - 32*v = -34*v + 2804. Suppose -18*c = -1479 + a. Factor 0*s**3 - 3/4*s**5 + 3/4*s + 3/2*s**c + 0 - 3/2*s**2.
-3*s*(s - 1)**3*(s + 1)/4
Let u(d) = d**2 - 4*d - 14. Let b(f) = -3*f**2 + 12*f + 39. Let x(r) = 3*b(r) + 8*u(r). Let g be x(5). Factor -4/3*p**2 - 4/3*p**3 + g + 4/3*p**4 + 4/3*p.
4*p*(p - 1)**2*(p + 1)/3
Suppose -149 = -14*h + 537. Let b = h + -47. Factor 117*w - 264*w**b + 233*w + 19*w**2 - 125.
-5*(7*w - 5)**2
Let y(o) be the first derivative of 3*o**7/280 - 7*o**6/45 + o**5/10 + 110*o**3/3 + 194. Let c(s) be the third derivative of y(s). Factor c(m).
m*(m - 6)*(9*m - 2)
Let m = -458 + 590. Let z be (17/(153/m))/(130/165). Factor 44/13*c - 2/13*c**2 - z.
-2*(c - 11)**2/13
Factor 3*k**2 + 31*k - k**4 + 64*k + 58 - 6*k - 31*k**3 + 2*k**3.
-(k - 2)*(k + 1)**2*(k + 29)
Solve -56/3*v**3 + 0 - 410*v**2 - 6724/9*v - 2/9*v**4 = 0 for v.
-41, -2, 0
Suppose 8455*d = 8458*d - 21. Let j(x) be the third derivative of -3/20*x**6 + 0*x**4 - 23*x**2 + 0*x**3 + 1/70*x**d + 0*x + 0 - 7/20*x**5. Factor j(w).
3*w**2*(w - 7)*(w + 1)
Suppose 0 = -y - 5*j + 536, -j - 2*j = 5*y - 2570. Suppose y + 3*u**2 - 1015 + 531 + 30*u = 0. What is u?
-9, -1
Let p be 28 + -21 + 5*-1. Factor 13090*m**3 - 6*m**p - 2*m**4 - 13098*m**3 + 0*m**4.
-2*m**2*(m + 1)*(m + 3)
Let x be 0/((-5)/(-3)*((-816)/170 + 3)). Factor 0 + 1/2*p**4 + x*p + 1/2*p**3 - p**2.
p**2*(p - 1)*(p + 2)/2
Let 0*o + 0 - 345/7*o**3 - 15/7*o**5 - 21*o**4 + 75/7*o**2 = 0. What is o?
-5, 0, 1/5
Let o(p) = p**3 - 231*p**2 - 6042*p + 27851. Let t(g) = 4*g**3 - 1154*g**2 - 30202*g + 139254. Let b(l) = -14*o(l) + 3*t(l). Factor b(x).
-2*(x - 4)*(x + 59)**2
Suppose 34*t = 124*t. Let d(y) be the second derivative of t - 4*y**2 - 1/6*y**4 + 5*y - 4/3*y**3. What is z in d(z) = 0?
-2
Suppose 2*v = p + 10, 0*p + p - 4*v = -22. Let n(o) be the third derivative of 8*o**3 + 0*o + o**4 - 11*o**p + 1/20*o**5 + 0. Factor n(c).
3*(c + 4)**2
Let f(u) be the first derivative of u**3 - 300*u**2 + 30000*u + 905. Factor f(k).
3*(k - 100)**2
Suppose -12*o + 36 = -12. Factor -16*u**2 - 16*u**4 + o*u + 24*u**3 + 4*u**5 - 54 + 54.
4*u*(u - 1)**4
Let f = -8977797/7 - -1282543. Solve -2/7*p**3 - 2/7*p**2 + 0 + f*p = 0.
-2, 0, 1
Factor 33/2 - 13*q - 7/2*q**2.
-(q - 1)*(7*q + 33)/2
Let y = -1/172456 + 2241931/517368. Suppose 2*n**4 - 4/3*n + 4*n**2 + 0 - 1/3*n**5 - y*n**3 = 0. Calculate n.
0, 1, 2
Let y be (-522)/(-116)*(-508)/(-3). Let w = y - 2278/3. Factor -8/3 - w*p**3 + 10*p**2 - 8*p.
-2*(p - 2)**2*(4*p + 1)/3
Let i(f) be the second derivative of -f**6/25 + 33*f**5/100 - 21*f**4/20 + 8*f**3/5 - 6*f**2/5 + 2762*f. Solve i(x) = 0 for x.
1/2, 1, 2
Let v(o) be the first derivative of 5*o**4/16 - 19*o**3/4 + 11*o**2/4 + 1175. Factor v(q).
q*(q - 11)*(5*q - 2)/4
Suppose 5*d - 4755 = 2*f, 0 = 5*d - 2*f - 2*f - 4765. Let u = d - 949. Find s such that 49/10*s**5 + 0*s**2 + u*s + 0 + 2/5*s**3 + 14/5*s**4 = 0.
-2/7, 0
Let u(z) be the third derivative of -z**6/60 + z**5/10 + 3*z**4/2 - 82*z**2. Factor u(c).
-2*c*(c - 6)*(c + 3)
Suppose -y + 13 = -16*y + 58. Let b(r) be the first derivative of 3/2*r**2 - r**3 - 3/4*r**4 + y*r - 7. Factor b(c).
-3*(c - 1)*(c + 1)**2
Let l = 223926 - 1791381/8. Solve l*c + 3/8*c**2 - 33/4 = 0.
-11, 2
Let n(u) be the third derivative of u**6/420 + 118*u**5/105 - u**4/84 - 236*u**3/21 - 127*u**2 + u + 6. Factor n(t).
2*(t - 1)*(t + 1)*(t + 236)/7
What is m in -10/9*m**4 + 0 + 14/9*m**3 + 10/9*m**2 - 4/3*m - 2/9*m**5 = 0?
-6, -1, 0, 1
Factor 56/5 + 62/15*g + 2/15*g**2.
2*(g + 3)*(g + 28)/15
Let s be (7/(-4))/(138/24 + -6). Factor 27*j + s*j + 14*j - 8*j + 28*j**2 + 4*j**3.
4*j*(j + 2)*(j + 5)
Let p(h) be the second derivative of 3/10*h**4 - 4/45*h**3 + 1/225*h**6 + 2/25*h**5 - 46 - 12/5*h**2 + h. Suppose p(r) = 0. What is r?
-9, -2, 1
Factor 2/5*g**3 + 18/5*g**2 + 12/5*g - 32/5.
2*(g - 1)*(g + 2)*(g + 8)/5
Let j(p) be the second derivative of p**7/26460 + 11*p**6/7560 + p**4/4 + 7*p**2 + 2*p - 83. Let n(z) be the third derivative of j(z). Factor n(f).
2*f*(f + 11)/21
Solve 2*t**2 + 6*t**3 - 11*t**3 + 183*t - 31*t + t**2 - 15 + 75 = 0.
-5, -2/5, 6
Suppose 5*f - 14*c + 13*c - 15 = 0, -f - 3 = c. Solve -59*z**2 - 35*z**4 - 33*z**2 + 27*z**f + 75*z**3 + 5*z**5 + 20*z = 0 for z.
0, 1, 4
Find s, given that -252635*s**2 + 1288*s**3 - 92447*s**2 + 20150240*s - s**4 - 16672333 - 22529043 - s**4 + 67738*s**2 = 0.
2, 214
Let b = 1378394/9 + -153154. Determine t, given that -3*t**3 + 0 - 11/9*t**4 - b*t - 1/9*t**5 - 25/9*t**2 = 0.
-8, -1, 0
Suppose 2*t + 101 = 11*j - 14*j, -5*j + 2*t = 163. Let v be (-9)/j + 48/(-176) - 0. Let -12/5*r + 4/5*r**3 - 8/5*r**2 + v = 0. Calculate r.
-1, 0, 3
Let q(c) be the first derivative of -c**3/4 - 921*c**2/8 + 231*c - 3989. Factor q(l).
-3*(l - 1)*(l + 308)/4
Let p(m) = -4*m**2 - m + 27. Let b be (-1)/(-2) - (927/6)/(-3). Let w = b - 55. Let n(a) = 8*a**2 + 3*a - 53. Let f(z) = w*n(z) - 5*p(z). What is v in f(v) = 0?
-3, 2
Let p(d) be the third derivative of d**5/10 + 77*d**4/96 + 5*d**3/8 - 52*d**2 - 2*d - 1. Factor p(y).
(y + 3)*(24*y + 5)/4
Let a(y) = 7*y**3 + 123*y**2 - 1755*y + 5915. Let n(v) = 40*v**3 + 745*v**2 - 10530*v + 35490. Let r(k) = 35*a(k) - 6*n(k). Factor r(d).
5*(d - 13)**2*(d - 7)
Let n(y) be the second derivative of -13*y**4/21 - 9*y**3/7 - y**2/7 + 7*y + 11. Determine s so that n(s) = 0.
-1, -1/26
Let b(o) be the third derivative of 0*o**3 + 0 - 1/112*o**8 + 108*o**2 - 2/35*o**7 + 1/5*o**5 + 1/2*o**4 + 0*o - 3/40*o**6. Find n such that b(n) = 0.
-2, -1, 0, 1
Let m = 217 - 182. Let -50*w**2 + 396 - m*w**3 + 153*w - 436 - 13*w + 15*w**4 = 0. What is w?
-2, 1/3, 2
Let m(y) be the first derivative of -3*y**4/4 + 4*y**3 + 51*y**2/2 - 180*y + 41. Factor m(j).
-3*(j - 5)*(j - 3)*(j + 4)
Let r(u) be the second derivative of 1/60*u**5 - 1/2*u**4 - 5/3*u**3 + 0*u**2 + 34*u + 0 + 1/90*u**6. Let b(l) be the second derivative of r(l). Factor b(q).
2*(q + 2)*(2*q - 3)
Let w(p) = -26*p**5 + 176*p**4 + 334*p**3 + 174*p**2 + 6*p. Let j(g) = 4*g**5 - g**4 + 2*g**3 - g. Let z(o) = -6*j(o) - w(o). Factor z(s).
2*s**2*(s - 87)*(s + 1)**2
Suppose -3*f - 9*f + 60 = 0. Factor 12 + 5 - f*q**3 - 17 - 10*q - 15*q**2.
-5*q*(q + 1)*(q + 2)
Let w = 225 + -262. Let r be (6/(-14))/(w/259). Determine t so that 1/4*t**4 + 0*t**r - 3/4 - 3/2*t**2 + 2*t = 0.
-3, 1
Factor -2/7 - 1/7*g**3 - 4/7*g**2 - 5/7*g.
-(g + 1)**2*(g + 2)/7
Let z(d) = -d**2 + 2. Let r(o) be the second derivative of o**4/12 + o**3/3 - 2*o**2 + 2*o + 2. Let v(y) = -3*r(y) - 6*z(y). Find 