 + 8)
Solve 2*j**2 - 242*j + 147*j + 98*j + 232*j + 447*j = 0 for j.
-341, 0
Solve -920*o + 3420 + 14400*o + 24675*o**3 - 35*o**4 + 5165*o**2 - 25105*o**3 = 0 for o.
-19, -2, -2/7, 9
Let x(s) = -s**2 - s + 44. Let f be x(0). Determine m so that f*m + 5 + 319*m**3 - 2*m**4 - 48*m**2 - 299*m**3 - 19 = 0.
1, 7
Let c = -61653 + 61653. Factor c*f - 8/7*f**2 + 1/7*f**3 + 0.
f**2*(f - 8)/7
Let u = 59186659/372952617 + 1/990578. Let p = u - -2/251. What is t in p*t**4 + 5/6*t**3 + 0 + 1/2*t**2 + 0*t - 1/6*t**5 = 0?
-1, 0, 3
Let n(u) be the third derivative of 1/2*u**3 + 0 - 3/40*u**5 + 112*u**2 + 0*u - 1/16*u**4 + 1/140*u**7 + 1/80*u**6. Factor n(k).
3*(k - 1)**2*(k + 1)*(k + 2)/2
Determine h, given that 816/7*h + 426/7*h**3 - 4/7*h**4 - 1844/7*h**2 + 0 = 0.
0, 1/2, 4, 102
Let w(u) be the second derivative of 0 + 0*u**2 - u**3 - 143*u + 1/4*u**4. Factor w(v).
3*v*(v - 2)
Let f = 3292 + -3226. Let z(k) be the first derivative of -18*k - 175/2*k**3 - 147/8*k**4 + 3 - f*k**2. Factor z(j).
-3*(j + 3)*(7*j + 2)**2/2
Solve 0 + 288800/7*u + 148968/7*u**3 - 62320*u**2 + 4/7*u**5 - 1532/7*u**4 = 0 for u.
0, 1, 2, 190
Factor 57*d**2 - 1172889 - 3116*d - 58*d**2 + 950*d.
-(d + 1083)**2
Let i(w) = -2*w**5 - w**4 + 2*w**3 - w**2. Let j(k) = -5*k**5 + 2*k**4 + 17*k**3 - 42*k**2 - 48*k. Let c(v) = -2*i(v) + j(v). Determine u so that c(u) = 0.
-3, -1, 0, 4
Let d(h) be the first derivative of -h**4/10 - 14*h**3/15 + 2*h**2 + 32*h/5 + 849. Factor d(s).
-2*(s - 2)*(s + 1)*(s + 8)/5
Let h = 1727/14 + -124. Let p = 475/42 + h. Suppose -28*o - 4/3*o**3 - p*o**2 - 24 = 0. What is o?
-3, -2
Factor h**4 + 978219 - 8*h**2 - 978219 - 7*h**2 - 8*h - 6*h**3.
h*(h - 8)*(h + 1)**2
Let o(j) be the first derivative of -j**3/3 + 7*j**2 + 32*j - 3337. Factor o(t).
-(t - 16)*(t + 2)
Suppose -101*j = -30*j. Let l(d) be the first derivative of -11/20*d**4 + j*d**2 + 0*d + 8 - 2/15*d**3. Find n, given that l(n) = 0.
-2/11, 0
Let y(a) = a + 16. Suppose -27 = 3*j - 3*c, 5*c + 21 - 1 = 0. Let h be y(j). Let -4*n**4 - 16*n**h + 9*n**3 + 4*n**2 + 3*n**3 + 4*n**5 = 0. What is n?
-1, 0, 1
Let p be (-5 - 9/(-5) - -3)*(-408)/102. Suppose 2*b = -3*b. Factor 2/5*f - p*f**2 + 2/5*f**3 + b.
2*f*(f - 1)**2/5
Let f be 72/1404*(-6)/94. Let x = f - -2458/4277. Find r such that 32/7*r**3 - x*r**2 + 0*r - 4*r**4 + 0 = 0.
0, 1/7, 1
Suppose -5*x + 42 = 2*u, 4*u + 3*x = -u + 67. Find y such that 6*y**2 + 12*y + 2*y**2 - 15*y**2 + u*y**2 = 0.
-3, 0
Suppose -2324*z = -1233*z - 1186*z. Factor 57/2*j**2 + z*j + 30*j**3 + 0 + 3/2*j**4.
3*j**2*(j + 1)*(j + 19)/2
Let v(x) be the first derivative of x**6/30 - 352*x**5/25 + 39577*x**4/20 - 1208654*x**3/15 - 11616962*x**2/5 - 88976552*x/5 - 2636. Factor v(i).
(i - 122)**3*(i + 7)**2/5
Find v such that 735/8*v + 171/4 - 1/8*v**4 + 443/8*v**2 + 49/8*v**3 = 0.
-6, -1, 57
Let -59767611*o**3 + 1002 - 55050648*o**3 - 27297*o + 3066363*o**2 - 921 = 0. What is o?
3/337
Let m(f) be the third derivative of -1/280*f**7 - 12*f**2 + 0*f**3 - 15/16*f**5 + 0*f - 3/32*f**6 + 0 - 125/32*f**4. Factor m(i).
-3*i*(i + 5)**3/4
Let s(d) be the first derivative of 72/7*d + 194/21*d**3 - 66/35*d**5 + 37 + 3/7*d**6 - 29/14*d**4 + 120/7*d**2. Determine u so that s(u) = 0.
-1, -2/3, 3
Let y = 107769 + -107765. Find r, given that 2/7*r**y + 16/7*r + 0 + 12/7*r**3 - 30/7*r**2 = 0.
-8, 0, 1
Suppose -58*f**4 + 1228 + 53*f**4 + 977 + 690*f - 1240*f**2 + 270*f**3 = 0. Calculate f.
-1, 3, 49
Factor -106*g**2 - 209*g + 20 - 13 - 2*g**3 - 225*g - 207 + 130*g.
-2*(g + 1)*(g + 2)*(g + 50)
Factor -2/5*a**3 + 316/5*a**2 + 64 + 638/5*a.
-2*(a - 160)*(a + 1)**2/5
Let f(g) = 98*g**2 - 1 + 0 - 99*g**2 - 3*g + 2*g. Let c(l) = 10*l**2 + 12*l + 11. Let x(s) = -4*c(s) - 44*f(s). Factor x(v).
4*v*(v - 1)
Let t(m) be the third derivative of 37*m**2 - 4*m - 1/1020*m**6 - 1/255*m**5 + 0*m**3 + 1/1785*m**7 + 0 + 0*m**4. Factor t(y).
2*y**2*(y - 2)*(y + 1)/17
Suppose -3*s + 216*g - 220*g - 59 = 0, 0 = -4*s + g + 29. Factor 14/15 + 2/3*q**2 + 26/15*q - 2/15*q**s.
-2*(q - 7)*(q + 1)**2/15
Let a(v) = 12*v**2 - 4320*v + 2419995. Let t(i) = -7*i**2 + 2152*i - 1209997. Let l(q) = -3*a(q) - 5*t(q). Factor l(n).
-(n - 1100)**2
Let i(c) be the first derivative of 0*c**2 + 2/3*c**3 + 0*c**4 + 0*c + 2 + 1/360*c**6 - 1/40*c**5. Let y(x) be the third derivative of i(x). Factor y(s).
s*(s - 3)
Let p(x) be the third derivative of 0 + 1/15*x**6 + x**2 + 0*x**4 - 1/672*x**8 - 5*x + 0*x**3 + 1/6*x**5 + 1/420*x**7. Factor p(l).
-l**2*(l - 5)*(l + 2)**2/2
Let z(v) = 15*v**2 - 232*v - 48. Let r be 3*(7 + -7 + -2). Let f(p) = -p**2 + 3*p. Let g(y) = r*f(y) - z(y). Factor g(t).
-(t - 24)*(9*t + 2)
Let v = -812 + 820. Let w be 1*(-3)/3 + 3. Factor 6*y**3 - 12*y + 8*y - v - 2*y**2 - 12*y + 0*y**w.
2*(y - 2)*(y + 1)*(3*y + 2)
Let u be (3 - 8)/(1/(-37)) - -1. What is o in -4*o**5 + 64 - 5*o - 7*o**4 + 21*o + 56*o - 2*o**5 - 296*o**2 + u*o**3 - 13*o**4 = 0?
-8, -1/3, 1, 2
Let n(c) be the first derivative of -5*c**3/3 + 5*c**2 + 495*c + 3623. Factor n(z).
-5*(z - 11)*(z + 9)
Let 12/7*n**3 + 3*n**4 - 12/7*n - 3*n**2 + 0 = 0. What is n?
-1, -4/7, 0, 1
Suppose 0 = -4*l + 3*a + 28, 5*l + 5*a = -0*a. Factor -16*d**4 + 4*d**3 - 20*d + l*d**4 + 5*d**4 - 8 + 11*d**4 - 12*d**2.
4*(d - 2)*(d + 1)**3
Suppose 9*c = 83 + 97. Suppose -12*f = -7*f - c. Factor 3/4*o**f + 3*o - 7/4*o**3 + 2 - 3/2*o**2.
(o - 2)**2*(o + 1)*(3*o + 2)/4
Factor q**3 - 13/8*q + 3/4 - 11/8*q**2.
(q - 2)*(q + 1)*(8*q - 3)/8
Suppose 3*v + 3*x = 21, 207*v - 218*v + 35 = 5*x. Find d, given that 0 - 12*d**3 - 20/3*d**5 + 8/3*d**2 + 16*d**4 + v*d = 0.
0, 2/5, 1
Let s(w) = 889*w**3 + 2*w**2 - 2*w + 1. Let z be s(1). Solve -5*b**3 + 5*b**5 - 890*b**2 + z*b**2 = 0.
-1, 0, 1
Let j(k) = 54*k + 111. Let o be j(-2). Let x(l) be the first derivative of -1/3*l**o + 0*l**2 + l + 2. Factor x(s).
-(s - 1)*(s + 1)
Let a(j) be the first derivative of -30*j**2 - 23/12*j**3 - 94 + 144*j + 5/8*j**4 + 1/20*j**5. Factor a(k).
(k - 3)**2*(k + 8)**2/4
Let v(x) = 16*x**2 - 4061*x + 1383162. Let m(n) = -5*n**2 + 1354*n - 461053. Let b(k) = -13*m(k) - 4*v(k). Factor b(l).
(l - 679)**2
Factor -2/3*v**2 + 0 - 4*v.
-2*v*(v + 6)/3
Suppose 9*r = 4*r + 285. Let z = r - 41. What is t in 0*t - 594 + 4*t**2 + z*t + 606 = 0?
-3, -1
Let -2/21*f**2 + 14/3*f + 104/7 = 0. What is f?
-3, 52
Let v(r) be the first derivative of 6*r**5/5 + 11*r**4/8 + r**3/3 + 29. Factor v(b).
b**2*(3*b + 2)*(4*b + 1)/2
Let w = -476581 - -476581. Solve 0*f**3 + 6/5*f**2 - 2/5*f**4 + w - 4/5*f = 0.
-2, 0, 1
Let z be (4/(16/2))/(2/48). Suppose -15*r + 33 + z = 0. Find y, given that 144 - 4*y**4 - 31*y**r + 48*y - 96*y**2 - 17*y**3 - 44*y**2 = 0.
-6, -1, 1
Let x(d) be the first derivative of 33*d**2 - 24*d + 23*d**3 - 21/4*d**4 + 11. Factor x(h).
-3*(h - 4)*(h + 1)*(7*h - 2)
Let r be (-2)/(-12)*(153 + -152). Let s(k) be the first derivative of r*k**3 - 18 - 1/2*k + 0*k**2. Let s(z) = 0. Calculate z.
-1, 1
Factor -8*g**2 - 1356 - 891*g + 18*g**2 - 7*g**2 - 438.
3*(g - 299)*(g + 2)
Factor 6*h**3 - 2376 + 392*h**2 - 12*h**3 - 405*h - 15*h + 3*h**3 + 7*h**3.
4*(h - 3)*(h + 2)*(h + 99)
Let f be (2390/(-110) - 1) + 2. Let j = f + 1162/55. Determine l, given that -4/25 + 6/25*l**2 + j*l = 0.
-2, 1/3
Find t, given that -1161*t - 316*t**3 + 304 + 924*t**2 + 33717*t**4 + 245*t - 33713*t**4 = 0.
1, 76
Factor -528*d + 60*d**3 - 59*d**3 + 64*d**3 + 67*d**3 - 16*d**2 + 4*d**4.
4*d*(d - 2)*(d + 2)*(d + 33)
Let m(r) = 4*r**5 + 16*r**4 + 40*r**3 - 12*r**2 - 24*r. Let b(q) = -4*q**4 + q**3 - q**2 + 2*q. Let c(a) = -12*b(a) - m(a). Determine f so that c(f) = 0.
0, 1, 6
Let m(z) be the first derivative of 16/3*z**3 - 2/5*z**5 - 32*z + 3/2*z**4 - 12*z**2 + 109. Let m(a) = 0. Calculate a.
-2, -1, 2, 4
Let y(v) = v**3 - 27*v**2 + 2*v - 38. Let c be y(27). Suppose -16429*u**4 - 21*u**3 - 39*u**2 + 16426*u**4 + c*u - 7*u + 54 = 0. Calculate u.
-3, -2, 1
Let y = 1390 - 2854. Let z = -5855/4 - y. Factor 0*s - z + 1/4*s**2.
(s - 1)*(s + 1)/4
Let d be (-64)/(-90) + 4/18. Let c be (-3978)/2295*(-4)/26. Factor 16/15*k**3 + d*k**4 - 2/15 + c*k**5 + 4/15*k**2 - 4/15*k.
2*(k + 1)**4*(2*k - 1)/15
Suppose -3*y = -2*j - 14, 2*y = 7*y - 4*j - 26. Let h(u) = u**2 - u + 2. Let w be h(0). Factor -a**y + 16 + 8*a**2 - 3*a**2 - 8*a**w.
-4*(a - 2)*(a + 2)
Find u, given that -32/11 + 24/11*u + 16/1