2)*(4*a - 1)
Suppose -3*f = 4*c - 26, -4*c + 2184 = -2*f + 2168. Factor 12 + 1/3*q**f - 13/2*q + 1/6*q**3.
(q - 3)**2*(q + 8)/6
Suppose 96*s - 228 = 348. Let a be ((108/(-315))/s)/((-3)/255). Factor 2/7*y**4 + 6/7*y**3 - 12/7 - 30/7*y**2 + a*y.
2*(y - 1)**3*(y + 6)/7
Let c(p) be the third derivative of p**5/20 - 135*p**4/4 + 18225*p**3/2 + 17*p**2 - 13*p. Factor c(k).
3*(k - 135)**2
Let c(k) be the second derivative of k**5/110 - 4*k**4/11 + 36*k**3/11 - 101*k - 9. Factor c(y).
2*y*(y - 18)*(y - 6)/11
Let m(i) = i**3 - 19*i**2 + 16*i + 309. Let f be m(17). Let q(b) be the second derivative of 7*b - 2*b**2 + 0 - 7/6*b**4 + 3*b**f. Factor q(v).
-2*(v - 1)*(7*v - 2)
Suppose 76*g - 77*g = -4*a + 40, -4*g - 3*a = -30. Factor 0*m**3 + 2/7*m**5 - 8/7*m**2 + 6/7*m**4 + g*m + 0.
2*m**2*(m - 1)*(m + 2)**2/7
Let x(u) be the second derivative of 0*u**2 + 0*u**3 + 0*u**4 - 2/15*u**6 - 2/5*u**5 - 5*u + 2/21*u**7 + 2. Let x(r) = 0. Calculate r.
-1, 0, 2
Let m(n) be the second derivative of n**5/300 + 13*n**4/120 + 11*n**3/15 + 39*n**2 + 40*n. Let o(g) be the first derivative of m(g). Solve o(b) = 0 for b.
-11, -2
Let j(b) be the first derivative of 12*b**5/5 - 129*b**4/8 + 21*b**3 + 135*b**2/4 - 382. Determine f, given that j(f) = 0.
-5/8, 0, 3
Suppose 5*p = 3*o + 6*p - 12, 4*p - 9 = o. Let f be (-7)/((-7)/10)*3/12. Factor -o - 1/2*r**2 - f*r.
-(r + 2)*(r + 3)/2
Let m(f) be the third derivative of 3/4*f**3 + 0 + 29*f**2 + 0*f - 1/360*f**5 + 1/24*f**4. Factor m(s).
-(s - 9)*(s + 3)/6
Let x(n) = -n**3 + 2*n**2 + 16. Let g be (-3)/(-6) + (-1)/2. Let f be x(g). Find w such that -32*w**2 - 7 - f*w + 60*w**4 + 44*w**3 + 7 = 0.
-1, -2/5, 0, 2/3
Let v(f) = 52*f**4 + 1476*f**3 - 12704*f**2 - 14224*f - 288. Let n(h) = -5*h**4 - 134*h**3 + 1155*h**2 + 1293*h + 27. Let b(z) = -32*n(z) - 3*v(z). Factor b(y).
4*y*(y - 18)**2*(y + 1)
Let c be 36/(-27)*(-3 + 0/11). Factor 0 + 3/2*b**3 + 0*b + b**2 - 5/2*b**c.
-b**2*(b - 1)*(5*b + 2)/2
Let o(k) be the second derivative of -k**9/1008 - k**8/280 + k**7/40 - k**6/30 - k**3/6 - k**2/2 - 45*k. Let v(j) be the second derivative of o(j). Factor v(i).
-3*i**2*(i - 1)**2*(i + 4)
Let s(t) be the third derivative of 1/12*t**5 + 6*t**2 + 0 + 0*t - 5/2*t**3 + 5/3*t**4. Let v(o) = -o + 1. Let l(r) = -s(r) - 25*v(r). What is m in l(m) = 0?
-2, -1
Factor -1/2*w**3 + 55*w**2 + 171 + 453/2*w.
-(w - 114)*(w + 1)*(w + 3)/2
Let l(r) = -r**2 + 8*r. Let f(z) = 4*z**2 - 283*z. Let d(u) = -2*f(u) - 6*l(u). Factor d(p).
-2*p*(p - 259)
Let k(u) be the third derivative of -u**8/1008 + 8*u**7/315 + 7*u**6/72 + u**5/10 + 77*u**2 + 1. Solve k(t) = 0 for t.
-1, 0, 18
Let l = 649734/7 + -92819. Let 5/7*g - l*g**3 + 0 + 4/7*g**2 = 0. Calculate g.
-1, 0, 5
Suppose 2*a - 11 = -3*i, 2*a - 9 - 4 = -i. Solve -k + 24*k**2 - 16 + a*k**2 + 49*k - 3*k**2 = 0 for k.
-2, 2/7
Factor -7*u**2 + 3*u**2 - 3 + 105 + 129*u - 29*u + 2.
-4*(u - 26)*(u + 1)
Let i(x) be the second derivative of 5*x**7/6 - 239*x**6/30 - 237*x**5/7 - 128*x**4/21 + 352*x**3/21 + 72*x**2/7 + 1478*x. Let i(u) = 0. What is u?
-2, -2/7, 2/5, 9
Factor 111*p**2 - 528*p - 325*p**2 - 3*p**4 - 98*p**2 - 57*p**3.
-3*p*(p + 4)**2*(p + 11)
Let s be 3/(-9) - (-2255)/132*-1. Let i = s + 215/12. Factor -1/3 - 1/6*l**2 + i*l.
-(l - 2)*(l - 1)/6
Let t = -3098968/9 + 344330. Factor 0 + t*u**2 + 4/9*u.
2*u*(u + 2)/9
Factor -2841*u**2 - 7643503107 - 8071281*u - 1/3*u**3.
-(u + 2841)**3/3
Suppose 14*v + 9041 = 2321. Let t = -477 - v. Factor 2/11*c**t + 2/11 - 2/11*c**2 - 2/11*c.
2*(c - 1)**2*(c + 1)/11
Let j(m) be the third derivative of -m**6/480 + 71*m**5/240 - 35*m**4/48 + 2*m**2 - 14. Find k, given that j(k) = 0.
0, 1, 70
Let r(w) be the second derivative of w**6/540 + w**5/180 + 26*w**3/3 + w**2 + 7*w + 8. Let k(d) be the second derivative of r(d). Determine b so that k(b) = 0.
-1, 0
Let o(i) be the second derivative of 0*i**2 + 11/3*i**4 - 223*i + 1/5*i**5 + 0 + 12*i**3. Factor o(g).
4*g*(g + 2)*(g + 9)
Factor 373912*y**4 + 5*y**2 + 4596*y**3 + 66155*y**4 + 7*y**2.
3*y**2*(383*y + 2)**2
Let b(u) = 3*u - 22 + u**2 - 2*u**2 - 2*u - 9*u. Let w(d) = -4*d**2 - 32*d - 90. Let a(j) = -26*b(j) + 6*w(j). Find q, given that a(q) = 0.
-4
Suppose -1947*l - 2047 + 5941 = 0. Let p be 6*1/10 - 0. Factor -7/5*z - z**l - 1/5*z**3 - p.
-(z + 1)**2*(z + 3)/5
Let c(t) be the first derivative of -t**6/6 + 214*t**5/15 + 121*t**4/4 + 146*t**3/9 - 1910. Let c(z) = 0. What is z?
-1, -2/3, 0, 73
Let l be (-32)/(-14) + 9/(378/(-12)). Factor -39123 - 98719 + 0*h**3 + 10104*h + 4*h**3 - 18*h - 246*h**l - 2*h**3.
2*(h - 41)**3
Suppose -3*j = -5*m - 1851 + 307, 0 = -j - 2. Let q = m + 1243/4. Suppose 3/4*h**3 + 3*h**2 - q*h - 3 = 0. Calculate h.
-4, -1, 1
Let m(j) = -63*j**2 - 459*j - 462. Let b(f) = 115*f**2 + 918*f + 924. Let d(l) = -6*b(l) - 11*m(l). Factor d(q).
3*(q - 154)*(q + 1)
Let n be (0 + (11/(-4))/11)*-4. Suppose -2*y - n + 17 = 3*a, a - 4 = 0. Factor -1/2*j - 3/4 + 1/4*j**y.
(j - 3)*(j + 1)/4
Let z = 124903/36 + -6939/2. Let m(g) be the third derivative of 5/24*g**4 + 13*g**2 + 0 - z*g**5 + 25/9*g**3 + 0*g. Suppose m(j) = 0. What is j?
-2, 5
Let p(u) = -10*u + 328. Let y be p(10). Suppose y*b - 9 = 225*b. Determine l so that -2*l**2 + 2*l**4 - 12/7*l**b + 0 + 4/7*l + 8/7*l**5 = 0.
-2, -1, 0, 1/4, 1
Factor -4*b**2 - 2*b**5 + 110*b**4 - 29*b**4 - 28*b**4 + 6 - 30*b**4 - 25*b**4 + 12*b**3 - 10*b.
-2*(b - 1)**3*(b + 1)*(b + 3)
Let u be (63 + 22905/(-360))*((-6)/(-10))/(-3). Factor 0 - 1/8*j - u*j**2.
-j*(j + 1)/8
Let q = -29569 - -29569. Let y(f) be the third derivative of -1/24*f**5 + 0*f + q - 27*f**2 + 5/16*f**4 - 5/6*f**3. Factor y(g).
-5*(g - 2)*(g - 1)/2
Let k(l) be the third derivative of -l**6/144 + 35*l**4/144 + 5*l**3/6 + 1434*l**2. Find j such that k(j) = 0.
-2, -1, 3
Let l(q) be the third derivative of q**6/240 - q**5/60 - 7*q**4/48 - q**3/3 + 71*q**2 - 3*q. Factor l(g).
(g - 4)*(g + 1)**2/2
Let h(i) be the first derivative of 0*i**4 + 4/25*i**5 - 48 - 28/15*i**3 + 0*i + 12/5*i**2. Factor h(f).
4*f*(f - 2)*(f - 1)*(f + 3)/5
Let q be (-6)/4*(-82 - -80). Let s(o) be the first derivative of -6*o**2 + 0*o + 7*o**4 + 9 + 8/5*o**5 + 8/3*o**q. Factor s(h).
4*h*(h + 1)*(h + 3)*(2*h - 1)
Let x = 93 - 58. Suppose 25*t + x = 32*t. Find j, given that 23 + j**2 - 17 - 8*j - t*j**2 + 6*j**2 = 0.
1, 3
Let n(o) be the first derivative of 237 + 30/23*o - 14/69*o**3 - 32/23*o**2. Factor n(t).
-2*(t + 5)*(7*t - 3)/23
Let w = -322 - -328. Let -5*p**2 + 12*p**3 - 8*p**3 - w*p**3 - 17*p**2 = 0. Calculate p.
-11, 0
Suppose 997*l - 11080 = 767*l - 324*l. Determine d so that 5/2*d - 5*d**3 + 20 + l*d**4 - 40*d**2 + 5/2*d**5 = 0.
-8, -1, 1
Let q(v) = 2*v**4 - 4*v**3 + v. Let k(o) = -5*o**4 + 1685*o**3 + 1660*o**2 - 5*o. Let m(h) = k(h) + 5*q(h). Factor m(r).
5*r**2*(r + 1)*(r + 332)
Let l(v) be the third derivative of -1/84*v**8 + 0*v + 0*v**4 + 0*v**3 - 1/6*v**6 - v**2 + 2/15*v**5 + 8/105*v**7 - 16. Find h, given that l(h) = 0.
0, 1, 2
Let s(w) be the first derivative of -w**5/35 + 89*w**4/28 - 667*w**3/21 + 1551*w**2/14 - 972*w/7 - 10326. Let s(z) = 0. What is z?
1, 3, 4, 81
Let v be 8/36 - (-98)/(-441). Let p(f) be the second derivative of -3/20*f**5 - 3*f + 0*f**4 + 1/2*f**3 + 0 + v*f**2. Factor p(a).
-3*a*(a - 1)*(a + 1)
Let j(g) be the first derivative of -7*g**4/12 - 19*g**3/3 - 49*g**2/3 - 16*g - 3622. Let j(d) = 0. What is d?
-6, -8/7, -1
Let z = -319 - -325. Let 28*b**4 - 88*b**2 - 28*b + 173 + 4*b**5 - 113 + 18*b**3 + z*b**3 = 0. Calculate b.
-5, -3, -1, 1
Factor 8*o + 4/9*o**2 + 308/9.
4*(o + 7)*(o + 11)/9
Let y(o) be the second derivative of o**5/10 - 104*o**4/15 - 299*o**3/15 - 86*o**2/5 + 8*o + 5. Let y(h) = 0. What is h?
-1, -2/5, 43
Let t(h) be the second derivative of 1/15*h**3 + 0*h**4 + 1/150*h**6 - 93*h - 1/10*h**2 - 1/50*h**5 - 2. Factor t(v).
(v - 1)**3*(v + 1)/5
Let n(y) be the third derivative of -y**6/480 + 2167*y**5/240 - 391685*y**4/32 + 390963*y**3/8 - 6*y**2 - 627. Factor n(d).
-(d - 1083)**2*(d - 1)/4
Suppose 2*i = g + 25, 3*i - 40 = i - 4*g. Suppose i*u = 9*u + 35. Factor -12*m**2 + 0*m - 7*m - m + 11*m**4 - u*m**4.
4*m*(m - 2)*(m + 1)**2
Factor -2011 + 842 + 719 - 3*r**2 + 453*r.
-3*(r - 150)*(r - 1)
Suppose 33*c + 16308 - 3471 = 0. Let g = -1166/3 - c. Factor -1/3*u**2 + 2/3*u - g.
-(u - 1)**2/3
Let 31 - 126 - 