*2 + 109*r. Let l(i) = 3*j(i) - 4*y(i). Factor l(o).
4*o*(o - 2)*(o + 14)
Determine q so that 3/5*q**2 + 72/5 - 33/5*q = 0.
3, 8
Factor y**3 + 2/9*y + 0 + 1/9*y**5 + 5/9*y**4 + 7/9*y**2.
y*(y + 1)**3*(y + 2)/9
Let v(r) be the third derivative of -r**7/840 + 107*r**6/480 - 899*r**5/80 - 8855*r**4/96 - 3025*r**3/12 + 2*r**2 + 567. Factor v(l).
-(l - 55)**2*(l + 1)*(l + 2)/4
Let b(n) be the first derivative of 2/27*n**3 - 4/9*n**2 - 36 + 8/9*n. Factor b(m).
2*(m - 2)**2/9
Let c(j) be the first derivative of 0*j + 0*j**2 - 210 + 74/9*j**3 + 1/6*j**4. Solve c(q) = 0 for q.
-37, 0
Let u(l) = -l**3 + 1. Let r(p) = 19*p**3 - 8*p**2 + 31*p - 42. Let n(w) = -3*r(w) - 60*u(w). Factor n(q).
3*(q - 2)*(q - 1)*(q + 11)
Let i = -132 - -122. Let f(x) = -2*x**3 + 23*x**2 - 110*x + 153. Let l(u) = -4*u**3 + 47*u**2 - 220*u + 305. Let w(s) = i*f(s) + 6*l(s). Factor w(p).
-4*(p - 5)**2*(p - 3)
Let b be (10*3/(-150))/((-1148)/(-290) + -4). Find y such that 500/3 + b*y**3 - 1/6*y**4 - 45*y**2 + 350/3*y = 0.
-1, 10
Determine c, given that 364/5*c + 8/5*c**3 - 122/5 + 494/5*c**2 = 0.
-61, -1, 1/4
Suppose 0 = 34*r - 30 - 38. Factor -r*z**5 - 42*z + 24*z**3 + 28*z**2 - 15 + 52*z + 15 + 4*z**4.
-2*z*(z - 5)*(z + 1)**3
Suppose -z - 4*p - 9 = 0, 9 - 5 = 2*z - 3*p. Let d be (-4)/z - 15/(-60)*-8. Suppose 2/7*v**d + 10/7*v + 8/7 = 0. Calculate v.
-4, -1
Factor 40*x**2 + 353/3*x + 78 + 1/3*x**3.
(x + 1)*(x + 2)*(x + 117)/3
What is x in -1136/3 + 2/3*x**2 + 92*x = 0?
-142, 4
Factor 72*s**2 - 162*s + 3*s**4 + 40*s**3 + 107*s**2 - 106*s**3 + 46*s**2.
3*s*(s - 18)*(s - 3)*(s - 1)
Suppose 96 - 80*o**2 - 34*o - 39*o - 28*o**3 - 43*o + 160*o = 0. Calculate o.
-3, -1, 8/7
Suppose -5/4*q**5 + 13*q + 20 + 14*q**4 - 47/4*q**3 - 34*q**2 = 0. What is q?
-1, -4/5, 1, 2, 10
Suppose -106 + 142*z**2 - 213 + 2*z**4 - 4*z**3 + 44*z**3 + 58 - 160*z - 339 = 0. What is z?
-15, -5, -2, 2
Solve -129/2*f + f**4 - 119/2*f**3 - 439/2*f**2 + 189/2 = 0 for f.
-3, -1, 1/2, 63
Determine c, given that 777*c - c**2 - 293 - 1876*c + 3*c**2 + 705*c - 503 = 0.
-2, 199
Let c(z) be the first derivative of z**6/15 + 14*z**5/5 + 33*z**4/10 - 14*z**3/3 - 34*z**2/5 + 3407. What is b in c(b) = 0?
-34, -1, 0, 1
Let n(j) be the second derivative of 0*j**4 + 1/510*j**5 - 1/1020*j**6 - 16*j + 0 + 0*j**2 + 2*j**3. Let r(u) be the second derivative of n(u). Factor r(a).
-2*a*(3*a - 2)/17
Let h(a) = -75*a**5 - 48*a**4 + 49*a**3 - 5*a**2 - 3*a. Let r(o) = 149*o**5 + 96*o**4 - 89*o**3 + 9*o**2 + 5*o. Let w(x) = -10*h(x) - 6*r(x). Factor w(g).
-4*g**2*(g + 1)*(6*g - 1)**2
Let z(v) be the second derivative of -1 + v**3 - 3/2*v**2 + 3/5*v**5 - 57*v + 7/4*v**4. Solve z(u) = 0 for u.
-1, 1/4
Factor 312/5 + 421/5*n + 106/5*n**2 - 3/5*n**3.
-(n - 39)*(n + 1)*(3*n + 8)/5
Let a(g) be the first derivative of -g**7/336 - 11*g**6/144 - g**5/2 - 61*g**3/3 - 166. Let p(w) be the third derivative of a(w). Factor p(r).
-5*r*(r + 3)*(r + 8)/2
Let t be (-585 - -586)*3/12. Suppose -1/2*q + 1/4*q**3 + 0 + t*q**2 = 0. What is q?
-2, 0, 1
Solve 453*l**3 - 708 + 401*l**3 + 830*l**3 - 5531*l - 1177*l**3 - 29757*l**2 - 3661*l = 0 for l.
-2/13, 59
Let c be ((-18)/81)/(9/81)*12/(-78). Let i = 551 + -7159/13. Solve 10/13*r - 10/13*r**3 + i - c*r**2 = 0 for r.
-1, -2/5, 1
Suppose -5 = -4*k - w, 5*w = 2*k - 5252 + 5211. Suppose -3*d = -3*z - 24, 3*d + 1 = 2*z + 21. Solve -2/3*u**5 + 16/3*u + 0 - d*u**k - 10/3*u**4 + 8/3*u**2 = 0.
-2, 0, 1
Let f(m) be the third derivative of m**7/168 + 13*m**6/3 + 1190*m**5 + 392000*m**4/3 - 6860000*m**3/3 + 319*m**2. What is k in f(k) = 0?
-140, 4
Let b = 173979 + -173975. Let 98/5*h**5 + 0 + 24*h**3 + 0*h + 16/5*h**2 + 252/5*h**b = 0. Calculate h.
-2, -2/7, 0
Factor h**3 - 47*h**2 + 21*h**2 + 4 + 21*h + 14*h**2 - 8 - 6.
(h - 10)*(h - 1)**2
Suppose -14*b + 26 = -b. Determine y so that -36505*y**b + y - 16*y + 0*y + 36500*y**2 = 0.
-3, 0
Let p(c) be the third derivative of c**6/30 - 71*c**5/5 - 215*c**4/3 + 2*c**2 + 1874. Factor p(r).
4*r*(r - 215)*(r + 2)
Find m such that -24/7*m + 0 - 32/7*m**2 + 8/7*m**4 - 2/7*m**3 + 2/7*m**5 = 0.
-3, -2, -1, 0, 2
Factor 116*y**3 + y**4 - 315*y**3 + 57*y**2 + 141*y**3.
y**2*(y - 57)*(y - 1)
Let o(n) be the third derivative of -9/20*n**5 + 0 - 104*n**2 + 29/24*n**4 - 1/3*n**3 + 0*n. Suppose o(r) = 0. What is r?
2/27, 1
Solve 7059/4*j**2 - 903/2*j**3 - 2322*j + 147/4*j**4 + 972 = 0.
1, 36/7
Let o(r) = -2*r**4 + 2*r**2 + 2*r. Let c(w) = 10*w**4 - 46*w**3 - 324*w**2 - 452*w + 800. Let v(f) = -c(f) - 6*o(f). Factor v(k).
2*(k - 1)*(k + 4)*(k + 10)**2
Let u(j) be the third derivative of 1/10*j**6 + j**2 + 0*j**3 + 0 - 3/8*j**4 - 1/20*j**5 + 12*j. Factor u(l).
3*l*(l - 1)*(4*l + 3)
Let o(y) = -4*y**2 - 30*y + 14. Let g(l) = -l - 25. Let q be g(-11). Let r(b) = -10 - b**2 + 10 - 6*b + 3. Let x(h) = q*r(h) + 3*o(h). Factor x(d).
2*d*(d - 3)
Let t be (10/4)/(2889/360 + -8). Factor -436 - 4*x**2 - 48 + t*x - 144*x + 3*x**2.
-(x + 22)**2
Let g(q) be the second derivative of -q**9/10080 - q**8/1120 + q**7/1680 + q**6/120 + q**4/6 + 141*q. Let n(r) be the third derivative of g(r). Factor n(p).
-3*p*(p - 1)*(p + 1)*(p + 4)/2
Let m(c) be the third derivative of 0*c**6 - 5/12*c**4 + 0*c + 1/4*c**5 + 0*c**3 - 1/42*c**7 + 8 - 2*c**2. Factor m(a).
-5*a*(a - 1)**2*(a + 2)
Suppose -6*y - 3*y = -4*y. Suppose 4*k + 2*j - 22 = y, 4*j + 3 = 7*j. Let r**2 + k - 2*r - 1 - 3*r**2 = 0. Calculate r.
-2, 1
Let g(i) be the second derivative of -5*i**7/168 + 29*i**6/12 - 1243*i**5/16 + 28595*i**4/24 - 42385*i**3/6 - 29155*i**2 - 4996*i. Find n such that g(n) = 0.
-1, 14, 17
Solve -264 - 9*o**3 - 28*o**3 - 24*o**3 + 170*o + 92*o**2 + 63*o**3 = 0.
-44, -3, 1
Let i = 76038/17 - 228097/51. Factor -3 + i*x**2 + 0*x.
(x - 3)*(x + 3)/3
Let b = -2/2218457 - -24403037/11092285. Factor -1/5*g**2 - 6 - b*g.
-(g + 5)*(g + 6)/5
Let p(f) be the third derivative of -23/90*f**5 - 101*f**2 + 0*f + 49/36*f**4 - 1/180*f**6 - 25/9*f**3 + 0. Factor p(n).
-2*(n - 1)**2*(n + 25)/3
Factor -1979680*h - 3*h**3 - 165*h**2 - 1215 + 1978825*h - 2*h**3.
-5*(h + 3)**2*(h + 27)
Suppose 3*l = 4*b - 556, 8*b - 748 = 4*l + 4*b. Let t be -5 + ((l/(-18))/8 - -4). Let 100/3 + t*k**4 + 22/3*k**3 + 220/3*k + 47*k**2 = 0. What is k?
-10, -1
Let l(j) be the third derivative of -j**8/171360 - j**7/7140 - 67*j**5/60 - j**2 + 16*j. Let x(i) be the third derivative of l(i). Suppose x(w) = 0. What is w?
-6, 0
Let t(w) be the third derivative of 49*w**7/5 - 34055*w**6/16 + 7058247*w**5/40 - 98304217*w**4/16 + 24137569*w**3/4 + 6162*w**2. Factor t(j).
3*(4*j - 1)*(7*j - 289)**3/2
Let u(y) be the first derivative of -y**4/14 + 64*y**3/7 + 11446. Factor u(w).
-2*w**2*(w - 96)/7
Let g(a) be the second derivative of -a**4/66 + 217*a**3/11 + 27*a - 54. Solve g(p) = 0 for p.
0, 651
Let j(h) = 7*h**2 + 7*h - 7. Let w be j(1). Factor -72 + 2*u**2 - 5*u - 9*u + w*u - 4*u - 7*u.
2*(u - 12)*(u + 3)
Solve 1/2*d**4 - 253/2*d**2 + 0 - 5/2*d**3 + 2057/2*d = 0 for d.
-17, 0, 11
Let b be 8*(-9)/(-144)*18. Let f(u) be the third derivative of -b*u**2 + 1/30*u**5 + 0*u + 0 + 12*u**3 + u**4. Factor f(i).
2*(i + 6)**2
Factor -313 - 77 + 0*x**2 - 49*x + 334 - 214 + x**2.
(x - 54)*(x + 5)
Let p(q) be the third derivative of -q**5/140 + 45*q**4/28 - 17*q**2 - 63. Factor p(w).
-3*w*(w - 90)/7
Suppose -8 = -11*v + 12*v + 3*g, 5*g + 15 = 0. Factor 19*j**2 - 7 + 26*j**2 - v - 10*j - 47*j**2.
-2*(j + 1)*(j + 4)
Let m(x) = -19*x + 82. Let d be m(-2). Suppose -18*c - d = -58*c. Suppose 1/9 - 2/9*f**2 + 1/9*f**4 + 0*f + 0*f**c = 0. Calculate f.
-1, 1
Let o(z) be the first derivative of -z**4/4 + 106*z**3 - 12480*z**2 - 51200*z + 4716. Solve o(c) = 0 for c.
-2, 160
Let a(x) = -12*x**2 + 1797*x + 406753. Let m(f) = -5*f**2 + 899*f + 203380. Let l(z) = -3*a(z) + 7*m(z). Find j, given that l(j) = 0.
-451
Let g = 1301687 + -5206745/4. Factor 0 + 99/4*h**2 - g*h**3 + 0*h.
-3*h**2*(h - 33)/4
Factor 2/7*d**2 + 1088/7 + 1090/7*d.
2*(d + 1)*(d + 544)/7
Find u, given that 25 - u**3 - 13*u**2 + 71956*u - 12*u**2 - 71955*u = 0.
-25, -1, 1
Suppose 5*y = -g + 119, 3*y + 4*g = -g + 89. Suppose -29*b + y*b = -12. Factor 29 - 4*v**b - 1 + 57*v - 33*v.
-4*(v - 7)*(v + 1)
Factor -9/4 + 885/2*u - 87025/4*u**2.
-(295*u - 3)**2/4
Let v(z) = -120*z - 2638. Let q be v(-22). What is d in 4/5*d**5 - 28/5*d**4 - 52/5*d**q +