 Factor r(l).
-5*(l + 1)*(l + 260)
Let y be (3/2)/((-15)/400*5). Let d be 528/63 - y/(-12). Factor -12/7*x - 6*x**2 - d*x**3 - 6/7*x**5 + 0 - 30/7*x**4.
-6*x*(x + 1)**3*(x + 2)/7
Let n(k) = k**5 + k**4 - k + 1. Let i(g) = -9*g**3 - 49 - g**5 - 3*g**5 + 8 + 29*g + 23*g**2 - 7*g**4 - g**4. Let w(s) = i(s) + 5*n(s). Factor w(v).
(v - 3)**2*(v - 1)*(v + 2)**2
Let h(l) be the second derivative of l**4/6 - 26*l**3/3 - 14*l**2 + 110*l. Let u(m) = m**2 - 18*m - 10. Let o(w) = 5*h(w) - 14*u(w). Factor o(i).
-4*i*(i + 2)
Let i(r) = -r**2 - 10*r + 17. Let z be i(-11). Suppose z = -22*x + 24*x. Factor 10*g**2 - 26 + 3*g**x - 4*g + 8 + 8*g**2 + g.
3*(g - 1)*(g + 1)*(g + 6)
Let a be -2*(-10 - -17)/(12 - 0). Let d = -2/3 - a. Suppose -d*v**2 + 0 + 1/2*v**4 + 1/2*v**3 - 1/2*v = 0. Calculate v.
-1, 0, 1
Let i(t) be the third derivative of -t**5/90 + 470*t**4/9 - 1879*t**3/9 + 2*t**2 + 2035. Solve i(k) = 0.
1, 1879
Let j(x) be the second derivative of -x**6/5 + 11*x**5/10 - 2*x**4 + 4*x**3/3 - 10668*x. Factor j(c).
-2*c*(c - 2)*(c - 1)*(3*c - 2)
Let y = -1177 - -28249/24. Let h(p) be the third derivative of 0*p - 1/60*p**5 - 17*p**2 - y*p**4 + 0*p**3 + 0. Let h(q) = 0. Calculate q.
-1, 0
Let q = 9859 + -9857. Factor 9/4 + 5/2*y + 1/4*y**q.
(y + 1)*(y + 9)/4
Let p = -1017 + 1019. Let m(c) be the second derivative of 0 + 1/16*c**4 - 3/8*c**3 + 28*c + 0*c**p. Factor m(t).
3*t*(t - 3)/4
Let j be (-6)/8 - 165/(-60). Suppose -10 = -j*a - 12. Let n(x) = -x - 1. Let z(v) = -5*v**2 + 8*v - 7. Let y(d) = a*z(d) + 2*n(d). Suppose y(l) = 0. What is l?
1
Suppose -2*w - 20 = 3*p, 3*p + 55 = 6*w - w. Let g = p - -13. Factor 35*j**5 + 27 - 45*j**2 - 25*j - 175*j**2 - 10*j**4 + g - 210*j**3.
5*(j - 3)*(j + 1)**3*(7*j - 2)
Let t(m) = m**3 - 15*m**2 + 5*m - 27. Let f be t(15). Find s such that -19*s**2 - f*s**2 + 69*s**2 - 60*s = 0.
0, 30
Let x(f) be the second derivative of 4/3*f**4 + 3*f + 12*f**2 + 39 + 6/5*f**5 - 26/3*f**3 - 4/15*f**6 - 2/21*f**7. Factor x(i).
-4*(i - 1)**3*(i + 2)*(i + 3)
What is i in -213 - 215*i + 12014*i**2 - 7 - 12009*i**2 = 0?
-1, 44
Let b be 168/(-108) + 2257/1098. Solve -b*y**3 + y**2 - 1/2*y**4 + 0 + 0*y = 0 for y.
-2, 0, 1
Let q = -78943 - -78946. Suppose 3*s**4 + 11/2*s**q + 0*s + 1/2*s**5 + 0 + 3*s**2 = 0. What is s?
-3, -2, -1, 0
Suppose -510 = 85*c - 91*c. Suppose 5*q = -2*h + 12, q + c = 4*h + 83. Determine b, given that 0 - 11/4*b**3 - 1/2*b**q + 0*b = 0.
-2/11, 0
Let b = -29670 + 29672. Let m = 10 - 4. Factor 4*c - m*c**2 + 12*c + b*c**2 - 16.
-4*(c - 2)**2
Let w(h) be the second derivative of 3*h**5/100 + 91*h**4/20 - 46*h**3/5 + 3051*h. Factor w(y).
3*y*(y - 1)*(y + 92)/5
Let 18/5*r**2 - 3*r**3 + 36/5 + 69/5*r = 0. Calculate r.
-1, -4/5, 3
Factor 8*f + 51*f**2 + 6 - 22 + 49*f**3 - 223*f**2 - 7*f**3 + 176*f.
2*(f - 2)**2*(21*f - 2)
Let o(z) be the third derivative of -z**7/420 + 3*z**6/80 - 3*z**5/40 - 85*z**4/48 + 25*z**3/2 - 3*z**2 - 263. Solve o(j) = 0.
-3, 2, 5
Let o be (5740/(-252) - -23)*(16 + 2). Factor 0 + 120/7*g**3 - 3/7*g**5 + 3*g**o + 132/7*g**2 + 0*g.
-3*g**2*(g - 11)*(g + 2)**2/7
Let i(c) = 3*c**2 - 13*c + 48. Let m(h) = -4*h**2 + 10*h - 48. Let v(q) = -3*i(q) - 2*m(q). Factor v(f).
-(f - 16)*(f - 3)
Let z = 3414 + -3411. Let s(p) be the first derivative of 12*p - 14*p**2 - 15 + 20/3*p**z - p**4. Determine x, given that s(x) = 0.
1, 3
Suppose 4*z + 2*b + 256 = 0, -3*z - 90 - 115 = -5*b. Let n = z - -81. Let -4*d**3 - 187 - 16*d + 195 - 4*d + n*d**2 = 0. What is d?
1, 2
Let g(r) = -r**3 - 558*r**2 - 19*r - 10599. Let a be g(-558). Suppose 4621/2*l**2 - 966*l**a + 25/2 + 98*l**4 + 345*l = 0. Calculate l.
-1/14, 5
Let o = 547658 + -547658. Factor 9/2*n**4 + 27/4*n**3 + 3*n**2 + 3/4*n**5 + o*n + 0.
3*n**2*(n + 1)**2*(n + 4)/4
Factor 115209*i**2 - 266*i + 672*i - 115211*i**2.
-2*i*(i - 203)
Let h = -469 + 472. Factor 7*c**h + 420*c**2 - 1800 - 614*c + 6794*c - 2*c**2.
(c + 30)**2*(7*c - 2)
Factor 145*v - 700 + 21*v**2 - 54*v**2 + 31*v**2 + 209*v.
-2*(v - 175)*(v - 2)
Factor -11792/7*j**2 + 178/7*j**3 - 35912/21*j + 0 - 2/21*j**4.
-2*j*(j - 134)**2*(j + 1)/21
Suppose -4*c**3 - 45*c**2 + c**5 - 90*c - 6*c**5 - 18*c**3 + 5*c**4 + 44*c**3 + 33*c**3 = 0. What is c?
-3, -1, 0, 2, 3
Let 0 - 1/5*z**3 + 0*z - 534/5*z**2 = 0. Calculate z.
-534, 0
Let w(m) be the second derivative of m**6/135 + 31*m**5/90 + 29*m**4/18 + 85*m**3/27 + 28*m**2/9 + 4927*m. Let w(a) = 0. Calculate a.
-28, -1
Let d = 37 + -34. Suppose 2*v + 3 - 1 = 2*f, d*f = 5*v + 11. Let c(i) = i**2 - 9*i + 39. Let k(w) = w**2 - 8*w + 40. Let l(j) = f*k(j) + 4*c(j). Factor l(p).
(p - 6)**2
Let t = 501134 + -501132. Solve -2/3 - 2/3*i**t + 4/3*i = 0.
1
Factor -125992 - 4*j**3 + 2100*j**2 - 18408 - 274572*j - 112454 - 19822.
-4*(j - 263)**2*(j + 1)
Let i be 1/(-10)*(538 - 538)*1/(-4). Solve -1/2*g**4 - 15/2*g**2 + 9/2*g**3 + 7/2*g + i = 0.
0, 1, 7
Suppose n = k - 10, 5*k = -4*n - 8 + 22. Suppose -5*i + 5 = -10. Let -3*x**4 + 8*x + 7*x**4 + 2*x**4 - 4*x**4 - k*x**i = 0. Calculate x.
-1, 0, 2
Let z be 20/(-8)*420/(-1125). Let a(g) be the second derivative of 16*g + 0 - 1/30*g**4 - 49/5*g**2 + z*g**3. Find q such that a(q) = 0.
7
Factor 0*m**2 + 1/5*m**5 + 0 + 29/5*m**4 + 0*m + 54/5*m**3.
m**3*(m + 2)*(m + 27)/5
Let w be 120/3105*15 - ((-88)/(-46) - 2). Find x such that -4/3*x**3 + 0 + w*x**2 + 4/3*x - 2/3*x**4 = 0.
-2, -1, 0, 1
Let t(i) be the third derivative of 0 - 1/480*i**6 + 2*i**2 - 1/6*i**3 - 1/48*i**5 + 6*i - 1/12*i**4. Determine p, given that t(p) = 0.
-2, -1
Suppose 2/5*k**2 + 7265672/5 - 7624/5*k = 0. What is k?
1906
Let a be (-72)/(-22)*14/(210/5). Let o be ((-32)/(-128))/(22/144). Factor o*v**4 - 32/11*v**3 + 2/11 - a*v - 4/11*v**5 + 28/11*v**2.
-2*(v - 1)**4*(2*v - 1)/11
Suppose -5*y = 5*j - 0*y - 2540, -4*y = 5*j - 2544. Let -63*x - 4*x**3 - 284*x - j - 72*x**2 - 37*x = 0. Calculate x.
-8, -2
Let f be 60/8*(-46)/(-115). Let q(m) be the second derivative of 0 + 5/3*m**f - 5/24*m**4 - 15/4*m**2 + 5*m. Factor q(b).
-5*(b - 3)*(b - 1)/2
Let p(f) = 2 + 3*f**2 + f + 18*f**3 - 8 + 7*f**2 - 19*f**3. Let k be p(10). Factor k + 123*x - 123*x - 4*x**2.
-4*(x - 1)*(x + 1)
Suppose 0*j + n = -3*j, 0 = 4*j - 4*n. Suppose -49*l + 154 = -42*l. Factor j*r**2 + 2*r**2 + 2*r**2 + l*r**3 - 42*r**3.
-4*r**2*(5*r - 1)
Let p = -255 + 915. Let z be p/1275 - (-4)/(-34). Determine a, given that z*a**4 - 1/5*a**5 + 0 - 2/5*a**2 + 1/5*a**3 + 0*a = 0.
-1, 0, 1, 2
Let i(t) be the second derivative of t**5/150 + 7*t**4/60 + 4*t**3/5 + 40*t**2 - 32*t. Let x(o) be the first derivative of i(o). Factor x(b).
2*(b + 3)*(b + 4)/5
Factor 313*f - 10182 + f**2 - 170*f + 10602.
(f + 3)*(f + 140)
Let m = -301 - -337. Determine n, given that -m*n - 3 - 9*n**4 - 2*n**4 - 28*n**3 - 50*n**2 - 6 + 6*n**4 = 0.
-3, -1, -3/5
Let v = -52 - -142. Let z be (7 - v/10)*(-1 + -1). What is h in 4/11 + 18/11*h**2 + 14/11*h + 2/11*h**z + 10/11*h**3 = 0?
-2, -1
Let i be (8/52)/(25/(5850/54)). Let i*z**3 + 0 - 4/9*z**4 + 2/3*z**2 - 4/9*z = 0. Calculate z.
-1, 0, 1/2, 2
Let w(h) = 2*h**2 + 38*h - 55. Let i(q) = -10*q**2 - 194*q + 274. Let z(u) = 6*i(u) + 28*w(u). Factor z(f).
-4*(f - 1)*(f + 26)
Let -1/2*b**5 - 7/2*b - b**4 + 2 + 4*b**3 - b**2 = 0. Calculate b.
-4, -1, 1
Let q(i) = -2*i - 4*i**2 - 2*i**2 + 3*i + 5*i**2 - 2*i. Let a(b) = 14*b**2 + 208*b + 4802. Let w(r) = -a(r) - 12*q(r). Factor w(y).
-2*(y + 49)**2
Let p(a) be the third derivative of 8/15*a**3 + 1/8*a**4 + 0*a + 0 - 71*a**2 - 1/300*a**5. Factor p(j).
-(j - 16)*(j + 1)/5
Let w(m) be the third derivative of -m**8/840 + m**7/84 - 7*m**6/180 + m**5/20 + 3*m**3 - 34*m**2. Let x(h) be the first derivative of w(h). Factor x(y).
-2*y*(y - 3)*(y - 1)**2
Let z(h) be the first derivative of -h**5/120 + 19*h**4/48 + 5*h**3/3 + 13*h**2/2 - 181. Let u(f) be the second derivative of z(f). Let u(j) = 0. Calculate j.
-1, 20
Determine i so that 23/2*i + 295/3 + 1/6*i**2 = 0.
-59, -10
Let k = -1005 - -1024. Suppose k*a - 4*o = 24*a - 26, -3*a - 3*o = -18. Determine j, given that -55/2*j + 14*j**a - 3/2*j**3 - 25 = 0.
-2/3, 5
Let w = 4/43 + 35/86. Let a = -39/74 - -38/37. Determine c so that -c - w - a*c**2 = 0.
-1
Suppose 3*s = -5*q + 30746, 42*s = 39*s - q + 30730. Suppose 96 + s*c + 0*c**2 - 2*c**2 - 10286*c = 0. Calculate c.
-24, 2
Let t(m) be the second derivative of -81 - 1