 given that 0*l**5 + l**5 + 28*l**3 - o*l**3 + l = 0.
-1, 0, 1
Solve -2*q**3 - 684 + 242*q + 77*q**2 - 205*q - 847*q - 205*q**2 = 0.
-57, -6, -1
Let t be (-8)/(-52) - 23670/65. Let n = 1822/5 + t. What is c in -n*c**4 - 54/5*c + 0 - 18/5*c**3 - 54/5*c**2 = 0?
-3, 0
Let t(r) be the second derivative of r**7/210 + r**6/15 - 16*r**4/3 + 17*r**3/3 + r**2 - 2*r + 9. Let o(k) be the second derivative of t(k). Factor o(p).
4*(p - 2)*(p + 4)**2
Factor 0*z**2 - 670/7*z**3 + 0*z + 0 - 2/7*z**5 + 96*z**4.
-2*z**3*(z - 335)*(z - 1)/7
Let t(a) be the first derivative of -a**6/27 - 8*a**5/45 + 7*a**4/18 + 68*a**3/27 + 8*a**2/3 + 694. Solve t(p) = 0 for p.
-4, -2, -1, 0, 3
Let x be ((-10112)/2176 - (-12)/(-34)) + 9. Factor x + 4/7*i**2 - 32/7*i.
4*(i - 7)*(i - 1)/7
Let s(a) = 2*a**2 + 581*a - 23869. Let f be s(-327). Factor -2/7*q**3 + 0 + 0*q + 10/7*q**f.
-2*q**2*(q - 5)/7
Let o(d) = d**3 - 3*d**2 - 6*d + 23. Let z be o(3). Find r, given that z*r**2 + 120*r + 95 - 42 - 178 = 0.
-25, 1
Let q(f) be the first derivative of 12 - f**3 + 3/2*f**2 + 18*f. Suppose q(d) = 0. What is d?
-2, 3
Let b(p) = -p**3 - 15*p**2 + 168*p + 2526. Let f be b(-13). What is z in -4/9*z**3 + 4/9*z**5 + 0*z + 4/9*z**f + 0 - 4/9*z**2 = 0?
-1, 0, 1
Factor -16*t**3 - 1650 + 406565*t**2 - 406545*t**2 + 535*t + 11*t**3.
-5*(t - 11)*(t - 3)*(t + 10)
Let p be (-2257)/(-555) + 4/(-60). Let s(d) be the second derivative of 0 - 8*d**2 - 20*d + 34/3*d**3 + 3/2*d**p. Determine z so that s(z) = 0.
-4, 2/9
Let v(o) = -o**3 - o**2 + 3*o + 2. Let j be v(-2). Suppose j = r + 2*r - 15. Factor -12*x**4 - x**r + 4*x**5 - 5*x**5 - 2*x**5 + 16*x**2.
-4*x**2*(x - 1)*(x + 2)**2
Let d(f) = 290*f**3 - 38910*f**2 + 453525*f - 1345305. Let r(b) = 31*b**3 - 4169*b**2 + 48592*b - 144140. Let m(h) = -8*d(h) + 75*r(h). Factor m(v).
5*(v - 267)*(v - 6)**2
Let z = 131669/4 + -32917. Let r(o) be the third derivative of -1/96*o**4 - o**2 + 0 + 1/240*o**5 + 0*o - z*o**3. Let r(p) = 0. Calculate p.
-2, 3
Let q = 43609/11 - 174403/44. Determine d, given that -9/2*d + q*d**2 - 21/4 = 0.
-1, 7
Suppose -k - 206 + 557 = 0. Find h such that -3221*h**3 + 23*h**4 - 23780*h + 26*h**4 + k*h**3 + 2122 + 42837*h**2 + 1242 = 0.
2/7, 29
Let w(l) be the second derivative of -l**7/17640 + l**6/1680 - l**5/420 - 7*l**4/3 + 10*l. Let b(n) be the third derivative of w(n). Factor b(y).
-(y - 2)*(y - 1)/7
Suppose -3 = b - 7. Suppose 0 = 3*d - 5*d + b*z - 6, -3*d - 2*z + 23 = 0. Suppose -2*l + 6*l**3 + 195*l**d - 2*l**3 - 197*l**5 = 0. Calculate l.
-1, 0, 1
Let c(p) be the third derivative of p**7/42 - 37*p**6/12 + 1129*p**5/12 + 1850*p**4 + 12000*p**3 - p**2 + 2675. Determine w, given that c(w) = 0.
-3, 40
Let k(l) = 1358 + 2*l**5 + 9*l**4 + 4*l**5 - 4*l**4 - 1353 + 5*l**2. Let s(c) = 5*c**5 + 4*c**4 + 4*c**2 + 4. Let h(y) = 4*k(y) - 5*s(y). Factor h(b).
-b**5
Factor t**2 + 10121 + 5*t**2 - 170*t - 6061 - 190*t - t**2.
5*(t - 58)*(t - 14)
Let x = -46424 + 46428. Let w(p) be the third derivative of 1/510*p**5 - 1/68*p**x + 2/51*p**3 + 0 + p**2 - 24*p. Factor w(v).
2*(v - 2)*(v - 1)/17
Let z(t) be the third derivative of t**6/840 - t**5/35 + 29*t**4/168 + t**3 - 1032*t**2. Factor z(y).
(y - 7)*(y - 6)*(y + 1)/7
Let a(h) be the first derivative of 6/7*h**2 + 1/14*h**6 + 4/7*h**3 - 6/35*h**5 + 122 + 0*h - 9/28*h**4. Factor a(b).
3*b*(b - 2)**2*(b + 1)**2/7
Let t(x) be the first derivative of -x**3/12 - 37*x**2/4 + 395*x/4 - 1792. Factor t(s).
-(s - 5)*(s + 79)/4
Factor 166/5*a - 6889/5 - 1/5*a**2.
-(a - 83)**2/5
Factor 304526*b**3 - 531*b - 192 - 22*b**2 + 383*b - 304524*b**3.
2*(b - 16)*(b + 2)*(b + 3)
Suppose 4*g + 332 = 8*g. Factor 5*d**2 + 10 + 72*d + g*d - 182*d.
(d - 5)*(5*d - 2)
Let d(p) = -36*p - 23*p**2 + 42 + 12*p + 27*p**2 - p**3. Let k be d(2). Factor 3/2*j - 3/4*j**k - 3/4*j**3 + 0.
-3*j*(j - 1)*(j + 2)/4
Let b(l) be the third derivative of 142*l**2 - 32/3*l**4 + 0*l + 10/21*l**7 + 0 + 8*l**3 - 77/30*l**6 + 107/15*l**5 - 1/28*l**8. Find z, given that b(z) = 0.
1/3, 1, 2, 3
Solve 4*p**2 + 16 + 216/5*p - 54/5*p**3 - 2*p**4 = 0 for p.
-5, -2, -2/5, 2
Let g(n) be the third derivative of -n**6/10 - 67*n**5/30 - n**4/2 + 55*n**3/3 + 7228*n**2. Determine s so that g(s) = 0.
-11, -1, 5/6
Factor -32000/3*n**3 + 400/3*n**4 + 204800000/3 - 2/3*n**5 + 1280000/3*n**2 - 25600000/3*n.
-2*(n - 40)**5/3
Let y(i) = -13*i**2 - 103*i + 16. Let t(g) = 40*g**2 + 310*g - 56. Let u(c) = 5*t(c) + 16*y(c). Solve u(m) = 0 for m.
-12, -1/4
Let l(t) be the second derivative of 0 + 16*t - 7/360*t**5 - t**2 + 5/18*t**3 - 11/48*t**4. Let x(i) be the first derivative of l(i). Factor x(q).
-(q + 5)*(7*q - 2)/6
Let z(d) be the third derivative of d**5/15 + 35*d**4 + 414*d**3 - 34*d**2 + 13. Factor z(c).
4*(c + 3)*(c + 207)
Let z(u) be the third derivative of 0*u**3 - 7/48*u**4 + 23/240*u**5 + 0*u + 1/840*u**7 + 318*u**2 + 0 - 1/48*u**6. Factor z(f).
f*(f - 7)*(f - 2)*(f - 1)/4
Let z(t) be the second derivative of -5*t + 5/6*t**3 + 0*t**2 + 5/48*t**4 + 1. Factor z(v).
5*v*(v + 4)/4
Let o(l) be the first derivative of -l**5/80 + 7*l**4/32 - 3*l**3/4 + l**2/2 - 24*l - 10. Let a(x) be the second derivative of o(x). Solve a(i) = 0 for i.
1, 6
Let f(q) = q**2 + 22*q + 45. Let a be f(-25). Let n = 123 - a. Factor 2*k**3 + 1341*k + 6*k**n - 2 - 2 + 4*k**4 - 1349*k.
4*(k - 1)*(k + 1)**3
Let g(o) = -4*o - 38. Let u be g(-9). Let a be (u/14)/(-1 - (-279)/315). Factor 1/4*n**3 - n**2 - 1/2 + a*n.
(n - 2)*(n - 1)**2/4
Find p, given that 11560*p**2 + 6125 + 5*p**3 - 5758*p**2 + 5775*p - 6147*p**2 = 0.
-1, 35
Let j be ((-5)/2)/(4/(-8)). Suppose 0 = -5*x - 3*t - t + 35, -4*x + 37 = j*t. What is r in -3*r**2 + 6*r**x + 7*r**2 + 3*r**4 + r**2 - 2*r**2 = 0?
-1, 0
Let o(k) be the third derivative of 39*k**5/40 - 353*k**4/16 + 9*k**3/2 - 69*k**2 + 3*k - 1. Factor o(t).
3*(t - 9)*(39*t - 2)/2
Suppose 3*q + 6 = 3*o, 2*o = -3*o - q + 28. Factor 2*z**3 - o*z**2 + 711*z + 331*z - 123*z**2 + 8*z**2 + 758*z.
2*z*(z - 30)**2
Find x, given that 1221*x**2 - 12*x**4 + 439*x + 11*x**4 + 315*x**3 + 470*x + 4*x**4 = 0.
-101, -3, -1, 0
Let z(i) = 10*i**2 + 14*i + 16. Let y(o) = -2*o**2 - o - 1. Suppose 0 = 5*t - 10*t - 5. Let p(h) = t*z(h) - 6*y(h). Determine a so that p(a) = 0.
-1, 5
Factor -19/2*x**2 + 1/2*x**3 + 52*x - 70.
(x - 10)*(x - 7)*(x - 2)/2
Let f(c) be the second derivative of -c**4/12 - 49*c**3/6 - 69*c**2 + 857*c. Determine t so that f(t) = 0.
-46, -3
Let y be 6/42 + 42/147 - 90/(-525). Factor 0*a - 3/5*a**2 + y*a**3 + 0.
3*a**2*(a - 1)/5
Factor 0 + 512/5*f - 8/5*f**3 + 64/5*f**2 - 1/5*f**4.
-f*(f - 8)*(f + 8)**2/5
Let x(b) be the second derivative of b**6/15 - b**5/10 - 3*b**4/2 - 11*b**3/3 - 4*b**2 + 74*b. Factor x(u).
2*(u - 4)*(u + 1)**3
Let i(d) be the second derivative of -3*d**4/8 - 25*d**3/2 + 51*d**2/4 + 3641*d. Factor i(g).
-3*(g + 17)*(3*g - 1)/2
Let f be 195/(-819)*(-14)/3. Suppose -16/9*o**3 - 38/9*o**2 + f*o**4 - 4/3*o + 0 = 0. What is o?
-1, -2/5, 0, 3
Let k = 10186/1563 + 78/521. Factor -28/9 - 4/9*n**3 - 4*n**2 - k*n.
-4*(n + 1)**2*(n + 7)/9
Let s(k) be the third derivative of k**5/420 - 9*k**4/2 + 3402*k**3 + 5852*k**2. Factor s(y).
(y - 378)**2/7
Find b such that 4*b**2 + 1295*b - 668*b - 5*b**2 - 681*b + 232 = 0.
-58, 4
Let k be (-2)/(-19) + (-348)/(-5358). Let g = k + 2420/141. Determine x, given that -8*x**3 - 16*x - 16/3 - g*x**2 - 4/3*x**4 = 0.
-2, -1
Let c(h) = -2*h**3 + 2*h**2 + 9*h - 8. Let r be c(2). Determine p so that 688 + 86*p + 112 - 6*p + r*p**2 = 0.
-20
Suppose -6*q + 0 - 15/4*q**2 = 0. What is q?
-8/5, 0
Let c(q) = 10*q**2 - 3375*q + 6675. Let z(y) = 15*y**2 - 5063*y + 10010. Let h(d) = -8*c(d) + 5*z(d). Find x, given that h(x) = 0.
2, 335
Find f, given that 754/3*f**2 + 0 + 0*f + 760/9*f**3 + 2/9*f**4 = 0.
-377, -3, 0
Let f(l) be the third derivative of -l**6/480 + 47*l**5/240 + 97*l**4/96 + 49*l**3/24 - 14*l**2 + 205*l. Find w, given that f(w) = 0.
-1, 49
Determine b, given that -5*b**4 - 395*b**2 - 128*b**3 - 56*b**2 + b**4 - 409*b**2 + 33*b - 769*b = 0.
-23, -8, -1, 0
Factor -1634 + 494 + 12*b**3 + 401 - 672*b + 227 + 152*b**2.
4*(b - 4)*(b + 16)*(3*b + 2)
Let z = -1136172/13 + 87400. Let -2/13*c**2 - 2 + z*c = 0. What is c?
1, 13
Let o(u) be the third derivative of u**8/112 - u**7/7 - 3*u**6/20 + 62*u**5/5 - 443*u**4/8 + 105*u**3 - 3*u**2 + 12