*a**3 + 4 - 3*a**2 - 1 + y.
3*(a - 1)**2*(a + 1)
Suppose 2*s = -s - 5*r + 17, 8 = s + 4*r. Determine x, given that -66*x**4 + 29*x**4 - s*x**3 + 38*x**4 + 4*x**2 = 0.
0, 2
Let m = 110185/12 + -9182. Let a(u) be the first derivative of m*u**3 + 29 + 0*u - 1/8*u**2. Factor a(b).
b*(b - 1)/4
Let h = -37666319631/11751838 - -1/1678834. Let c = -3196 - h. Determine q, given that 256/7 + c*q + 4/7*q**2 = 0.
-8
Let w(f) = -2*f**2 + 2*f + 34. Let b(r) = 3. Let n be ((-56)/16 - -3)*-2. Let j(y) = n*w(y) + 2*b(y). Factor j(l).
-2*(l - 5)*(l + 4)
Let o(s) be the third derivative of -5*s**2 + 1/30*s**6 - 4 - 1/84*s**8 + 2*s**4 + 8/3*s**3 - 2/35*s**7 + 0*s + 11/15*s**5. Determine x so that o(x) = 0.
-2, -1, 2
Factor 729 - 117/2*b**2 - 567/4*b - 15/4*b**3.
-3*(b + 9)**2*(5*b - 12)/4
Factor -280*a + 119*a**2 - 37*a**2 - 38*a**2 - 48*a**2 - 4756.
-4*(a + 29)*(a + 41)
Let w be (-191)/(-21) - 15 - (-2)/(-21). Let h(t) = t + 6. Let b be h(w). Let 2/3*v**2 + 0*v + b = 0. Calculate v.
0
Factor -4*j**2 + 127/2*j + 135/2.
-(j + 1)*(8*j - 135)/2
Factor 29*u**3 - 90*u**3 + 25*u**3 + 35*u**3 - 30*u**2 + 61*u**2.
-u**2*(u - 31)
Factor -l**4 + 5864*l**2 + 3*l + 18 - 11735*l**2 - 7*l**3 + 5858*l**2.
-(l - 1)*(l + 2)*(l + 3)**2
Let u be 2568/1288 + 1027/165347. Factor 14/5 - 2/5*l**u + 12/5*l.
-2*(l - 7)*(l + 1)/5
Let l(j) be the third derivative of j**5/120 - 5*j**4/16 - 961*j**2. Determine x so that l(x) = 0.
0, 15
Let u be (-10320)/(-2340) + (-10)/3. Let -u*z**5 + 22/13*z**3 + 0 + 24/13*z**2 - 24/13*z**4 - 8/13*z = 0. What is z?
-2, -1, 0, 2/7, 1
Let f(m) be the third derivative of m**8/1176 - 4*m**7/245 + 11*m**6/420 - 109*m**2. Factor f(w).
2*w**3*(w - 11)*(w - 1)/7
Let l(t) be the second derivative of -t**6/10 + 3*t**5/10 + 2*t**4 + 59*t + 7. Let l(d) = 0. What is d?
-2, 0, 4
Suppose -8*b + 420 = 132. Suppose -11*i = -23*i + b. Factor 8*w - w**2 - 6 + i*w**2 + w - 5*w**2.
-3*(w - 2)*(w - 1)
Factor -1168/7 - 900/7*d**2 + 158/7*d**3 - 2/7*d**4 + 1768/7*d.
-2*(d - 73)*(d - 2)**3/7
Let s(n) be the first derivative of -5*n**3/3 - 380*n**2 - 755*n + 6058. Find a such that s(a) = 0.
-151, -1
Suppose -z - 5405 = -5*c, -2*c - 2*c + 3*z + 4335 = 0. Factor -c*b + 29645 + 0*b**2 + 310*b + 5*b**2.
5*(b - 77)**2
Let v(s) = 12*s**3 + 228*s**2 + 8760*s + 94990. Let x(d) = -d**3 + d**2 + 4*d + 1. Let r(t) = -v(t) - 10*x(t). Factor r(y).
-2*(y + 19)*(y + 50)**2
Let d(k) be the third derivative of k**5/20 + 13*k**4 + 470*k**3 - 4462*k**2. What is n in d(n) = 0?
-94, -10
Let t(s) = s. Let n be t(2). Let p be (9*8/108)/((-252)/(-1836)). Factor 8/7*x**3 + p*x - 30/7*x**n - 12/7.
2*(x - 2)*(x - 1)*(4*x - 3)/7
Determine f so that -1704*f**2 + 220*f**4 + 96 - 74 - 972*f**3 + 102 - 124 - 512*f = 0.
-1, -2/5, 0, 64/11
Let p be (-20)/6*((-44)/(-572))/(10/(-65)). Find l such that -p*l**3 + 0*l - 2*l**2 + 0 - 1/3*l**4 = 0.
-3, -2, 0
Let n = -20491/183 + 8457/61. Factor 2/3*h**2 - n*h + 26.
2*(h - 39)*(h - 1)/3
Let i be -1*2/4*381/(-508). Suppose 8*j - 50 = -17*j. Determine b so that 21/4*b - i*b**j - 147/8 = 0.
7
Let b = -145707 + 145710. What is g in -b*g + 7/2*g**4 + 0 + 23/2*g**3 + 5/2*g**2 - 5/2*g**5 = 0?
-1, 0, 2/5, 3
Let v(r) be the second derivative of -r**5/80 + 83*r**4/48 + 7*r**3/2 - 1653*r. Factor v(h).
-h*(h - 84)*(h + 1)/4
Let h(g) = 2*g**2 + 29*g - 9. Let y(v) = -v**2 - 13*v + 4. Let t(w) = 4*h(w) + 9*y(w). Let k(j) = 4*j**2 + 7*j + 3. Let s(f) = k(f) + 6*t(f). Factor s(q).
-(q + 1)*(2*q - 3)
Let z = -101226 - -7794261/77. Let g = -17/11 - z. Solve 0 + 2/7*x**4 + 2/7*x**3 + 0*x - g*x**2 - 2/7*x**5 = 0 for x.
-1, 0, 1
Let f = -884051/3 - -294685. What is h in -f*h**3 - 16/3*h + 0 + 20/3*h**2 = 0?
0, 1, 4
Let j = -80216 - -80218. Factor j + 2/5*d**2 + 12/5*d.
2*(d + 1)*(d + 5)/5
Let r = 68 + -52. Factor -26*l + 10*l + r*l**3 - l**4 - l**4 + 18 + 4*l**4 - 20*l**2.
2*(l - 1)**2*(l + 1)*(l + 9)
Let k be (2 - 10 - -1) + 18. Let u be (8/7)/(((-528)/(-56))/k). Factor -4/9*t**3 - 20/9*t**2 - 28/9*t - u.
-4*(t + 1)**2*(t + 3)/9
Let c(a) = 7*a**2 - 574*a - 1096. Let x(v) = -17*v**2 + 1440*v + 2740. Let g(t) = -26*c(t) - 10*x(t). Determine z so that g(z) = 0.
-2, 137/3
Let c(a) be the first derivative of -5*a**3/3 + 885*a**2 - 3520*a - 3662. Let c(h) = 0. What is h?
2, 352
Let v(q) be the first derivative of -q**5/15 + 133*q**4/12 + 30*q**3 - 808. Factor v(m).
-m**2*(m - 135)*(m + 2)/3
Let y(f) be the first derivative of -101 + 13/3*f**2 + 7/6*f**4 - 8/3*f - 10/3*f**3 - 2/15*f**5. Solve y(v) = 0.
1, 4
Let u(f) be the third derivative of -f**5/300 + 193*f**4/120 - f**2 + 85*f - 3. Solve u(c) = 0 for c.
0, 193
Let q = -236463/4 - -59116. Factor -1/8*i**2 - q*i + 15/8.
-(i - 3)*(i + 5)/8
Let o(p) = -p**2 - 11*p + 17. Let n be o(-10). Let -3*y - 245*y**2 + 173*y**2 - 2 + n*y = 0. What is y?
1/6
Let c(m) be the third derivative of m**5/12 - 2695*m**4/24 + 1345*m**3/3 + m**2 - 2003. Factor c(f).
5*(f - 538)*(f - 1)
Let d = -368 - 2044. Let g be 1 - 14/18 - d/81. Suppose 4*i - 2*i**2 - 3*i**2 - 20 - g*i - i**2 = 0. What is i?
-10/3, -1
Let w be (152/1900)/(-1 + 7). Let d(u) be the second derivative of -w*u**6 - 4/5*u**2 - 13/30*u**4 - 5*u - 3/25*u**5 + 0 - 4/5*u**3. Factor d(g).
-2*(g + 1)**2*(g + 2)**2/5
Let u be 3/(-120)*-5*-6 + (-86)/(-72). Let p = -2 - -2. Factor 0*w**3 - 2/9*w**4 + 2/3*w**2 - u*w + p.
-2*w*(w - 1)**2*(w + 2)/9
Let c(j) be the second derivative of -7/15*j**3 + 8 + 1/50*j**5 + 2*j + 0*j**4 + 6/5*j**2. Factor c(a).
2*(a - 2)*(a - 1)*(a + 3)/5
Let l be 17 + (-18 - 408/(-312)) + (-4)/13. Determine u, given that 8/3*u**3 + 0 + l*u + 0*u**2 + 2/3*u**5 - 8/3*u**4 = 0.
0, 2
Let t(n) be the first derivative of -1/2*n**3 - 9/2*n - 7*n**2 - 57. Factor t(k).
-(k + 9)*(3*k + 1)/2
Suppose -1412*y + 55*y**4 + 392*y + 43994 + 2905*y**3 - 43994 + 5080*y**2 = 0. Calculate y.
-51, -2, 0, 2/11
Let 765/2 - 411*v**2 + 57/2*v**4 + 57/2*v - 27*v**3 - 3/2*v**5 = 0. What is v?
-3, -1, 1, 5, 17
Suppose -40 = 7*b + 198. Let d be b/(-6) + (-1 - (6 - 4)). Factor -4/3 - 8/3*c**3 + d*c + 0*c**2 + 4/3*c**4.
4*(c - 1)**3*(c + 1)/3
Suppose -183*n - 3*n**5 + 659*n + 6028*n**4 - 5550*n**4 - 478*n**2 - 474*n**3 + n**5 = 0. What is n?
-1, 0, 1, 238
Let b be 413/(-7) - 146207/(-2344). Factor -117/8*y**2 + 37/8*y**3 - 1/2*y**4 + 135/8*y - b.
-(y - 3)**3*(4*y - 1)/8
Let f(c) be the first derivative of -c**6/6 + c**4/4 + 2752. Factor f(h).
-h**3*(h - 1)*(h + 1)
Determine h, given that -20*h**2 + 0 - 90*h - 2/5*h**3 = 0.
-45, -5, 0
Let j = 783310/13 - 60254. Solve -12/13*n**2 + 16/13 - 2/13*n**4 + 10/13*n**3 - j*n = 0 for n.
-1, 2
Let g(n) be the second derivative of n**4/12 - 49*n**3/6 - 228*n**2 + 4784*n. Determine b so that g(b) = 0.
-8, 57
Let f be -126 + 70 - 9850/(-175). Factor f*i**2 - 4 - 10/7*i.
2*(i - 7)*(i + 2)/7
Let k(s) be the first derivative of s**4/6 - 128*s**3/9 + 1204*s**2/3 - 4704*s + 537. Find z such that k(z) = 0.
14, 36
Suppose 0 = 5*x - 5*l - 30, 15*x = 10*x - 4*l - 6. Factor 752*h**2 + 2*h**4 - 382*h**x - 4*h - 376*h**2.
2*h*(h - 2)*(h + 1)**2
Determine m so that 4/7*m**3 - 6/7*m + 2/7 + 2/7*m**5 + 4/7*m**2 - 6/7*m**4 = 0.
-1, 1
Let u = 3140252/7 + -448606. Let 0 - 2/7*d**2 + 2/7*d**4 + 10/7*d - u*d**3 = 0. Calculate d.
-1, 0, 1, 5
Suppose -5*y + c + 442 = 0, c = 3*y - c - 261. Let j = -87 + y. Solve 6*w**4 - 3*w**5 + w**5 - j*w**4 - 2*w**3 = 0 for w.
0, 1
Let w(n) be the first derivative of -n**3/4 - 327*n**2/4 - 1932. Let w(d) = 0. Calculate d.
-218, 0
Let q(n) be the second derivative of n**4/24 - 122*n**3/3 + 14884*n**2 + n - 422. Factor q(t).
(t - 244)**2/2
Let t(i) = -9*i**4 + 213*i**3 - 975*i**2 + 723*i. Let j(d) = -7*d**4 + 216*d**3 - 973*d**2 + 724*d. Let q(a) = -6*j(a) + 5*t(a). Suppose q(y) = 0. Calculate y.
-81, 0, 1, 3
Let n be ((-15)/(-20))/(-1*60/292). Let c = n - -59/10. Solve 3/4*w**2 + 3/2 - c*w = 0.
1, 2
Let t(k) = 5*k + 37. Let j be t(-11). Let h be (j/54)/(0 - 51/18). Factor 8/17*f**2 - 10/17*f - h*f**3 + 4/17.
-2*(f - 2)*(f - 1)**2/17
Solve -35350/3*a**3 + 4040*a + 46805/3*a**2 + 240 + 6125/3*a**4 = 0 for a.
-4/35, 3
Let m(y) = -2*y - 24. Let p be m(-7). Let i be ((-9)/2)/9*p. Factor 0*d**5 + 4*d**3 - 2*d**i - 2*d**5.
-4*d**3*(d - 1)*(d + 1)
Solve 38/3*t**3 - 131/3*t**2 - 1/3*t**4 + 0 - 170/3*t = 0.
-1, 0, 5, 34
Suppose 0 = -9*z - 148 + 913. Let a = z + -83. Let 29*u**2 - 5