tive of m**3/24 - 327*m**2/16 - 41*m - 1282. Factor l(a).
(a - 328)*(a + 1)/8
Let k(a) be the first derivative of a**5/270 - a**4/108 - 2*a**3/27 + 12*a**2 - 1. Let l(v) be the second derivative of k(v). Factor l(b).
2*(b - 2)*(b + 1)/9
Suppose 199*l - 193*l - 18 = 0. Let j be 2*(l/(-3) + (-26)/(-8)). Find k, given that 15/4 + 3/4*k**2 - j*k = 0.
1, 5
Find h such that 25/2*h**3 + 0 + 5/2*h**4 - 20*h**2 - 30*h = 0.
-6, -1, 0, 2
Let f be 3 - (-1)/2*2. Suppose 4*n - 6 = -2*r, 9*r - 5*n - 60 = 4*r. What is y in -8*y**4 + 19*y**3 + r*y**4 + 5*y**2 + y**3 + 14*y**f = 0?
-1, -1/3, 0
Let v = 1555 - 882. Let h = v - 670. Let -10/9*a**2 + 2/9*a**4 + 2/9*a**5 - 10/9*a**h + 8/9*a + 8/9 = 0. Calculate a.
-2, -1, 1, 2
Let a(i) = 5*i**2 + 93*i + 406. Let f(o) = o**2 + 7*o. Let d(t) = 2*a(t) - 6*f(t). Find k, given that d(k) = 0.
-29, -7
Let u(g) be the first derivative of 36 + 0*g**2 + 4/5*g**5 + 0*g + 256/3*g**3 + 16*g**4. Solve u(k) = 0 for k.
-8, 0
Factor 1/5*g**3 + 1512/5*g - 15*g**2 - 3888/5.
(g - 36)**2*(g - 3)/5
Let z = 167129 - 835639/5. Determine o, given that 18/5*o**2 - 24/5*o**4 - 9/5*o**5 + z - 12/5*o**3 + 21/5*o = 0.
-1, -2/3, 1
Let y be -5 - (-13 - -8) - (0 - 858). Let r = y + -6005/7. Factor 3/7 + 5/7*d**2 + d + r*d**3.
(d + 1)**2*(d + 3)/7
Suppose -15*y - u + 38 = 6, -u + 12 = 5*y. Let n(m) be the first derivative of 34 + 32/7*m - 4/21*m**3 + 4/7*m**y. Factor n(w).
-4*(w - 4)*(w + 2)/7
Let o(w) be the third derivative of 0 + 4/27*w**4 + 1/540*w**6 - 4/9*w**3 - 7/270*w**5 + 0*w + 30*w**2. Suppose o(u) = 0. What is u?
2, 3
Let w(q) be the third derivative of q**2 - 1/2016*q**8 + 1/144*q**6 - 1/9*q**3 + 40 + 1/1260*q**7 - 1/360*q**5 - 1/18*q**4 + 0*q. Solve w(c) = 0.
-1, 2
Factor 0 - 3/7*y**2 + 312/7*y.
-3*y*(y - 104)/7
Suppose 11*u = 17*u - 18. Solve 32 - 31*j**3 + 30*j**2 - 63*j - 27*j**u + 59*j**3 = 0.
-32, 1
Let d(j) be the second derivative of -5*j**7/42 + 7*j**6/10 + 41*j**5/20 - 89*j**4/12 - 14*j**3 + 10*j**2 + 104*j - 12. Solve d(x) = 0.
-2, -1, 1/5, 2, 5
Let a(p) be the first derivative of -p**4/4 - 42*p**3 + 258*p**2 - 520*p - 339. Factor a(x).
-(x - 2)**2*(x + 130)
Let z(c) = c + 2. Let x(b) = -b**3 - 9*b**2 + 4. Let h be x(-9). Let v be z(h). Factor 0*k**2 + 8*k**2 + v*k + k**3 + 7*k**3 - 6*k**3.
2*k*(k + 1)*(k + 3)
Solve -24*v**3 + 143/6*v + 169/6 - 28*v**2 = 0 for v.
-13/12, 1
Suppose 0 = 3*f + 5*m - 65, -24 = -f - 3*m + 15. Factor 2/5*p**5 - 6/5*p**4 + 0 - 2*p**2 + f*p - 18/5*p**3.
2*p**2*(p - 5)*(p + 1)**2/5
Let b = 297/20 - 53/4. Let d be 82/10 + ((-4)/10 - 460/100). Solve -16/5 - b*x**3 - 4/5*x**4 + d*x + 12/5*x**2 = 0 for x.
-2, 1
Let u = 17840407/11 - 1621847. Factor -92/11 + 2/11*b**2 - u*b.
2*(b - 46)*(b + 1)/11
Let j(t) be the first derivative of 0*t**2 - 4 + 0*t**4 + 1/170*t**5 + 6*t - 1/51*t**3. Let i(z) be the first derivative of j(z). Solve i(y) = 0.
-1, 0, 1
Let s(b) = 6*b**3 + 43*b**2 - 74*b - 99. Let d(c) = 25*c**3 + 174*c**2 - 301*c - 396. Let w(r) = -4*d(r) + 18*s(r). Factor w(m).
2*(m + 1)*(m + 11)*(4*m - 9)
Let l(q) be the second derivative of 0 - 4/5*q**4 + 32/15*q**3 - 1/75*q**6 - 16/5*q**2 + 67*q + 4/25*q**5. Factor l(c).
-2*(c - 2)**4/5
Solve 60454*o**2 - 55796*o + 76*o**4 + 109475*o**2 + 63422*o - 1431*o**3 - 73*o**4 + 163737*o = 0 for o.
-1, 0, 239
Let o be (-25725)/(-1575) - 5*(6 - 3). Factor o*l**2 + 17/3 + 7*l.
(l + 1)*(4*l + 17)/3
Suppose 3*f = -r + 10, 25 = 5*f + r + 9. Factor 2*u**3 - 16*u**4 + 4*u**5 - 16*u**2 + 4*u + 8*u**3 + 14*u**f.
4*u*(u - 1)**4
Let v = -17 - -25. Suppose 2*w - 5*a - v = w, 2*a = -w + 1. Find l such that -69*l**2 - 39*l + 75*l**4 + 42*l**5 - w*l**3 - 3 + 8 - 11 + 0 = 0.
-1, -1/2, -2/7, 1
Let m(i) = 117*i - 819. Let x be m(7). Let v(r) be the first derivative of 0*r**5 - 1/2*r**4 + x*r**3 + 11 + 0*r + 1/2*r**2 + 1/6*r**6. Factor v(t).
t*(t - 1)**2*(t + 1)**2
Suppose -195 = -100836*q + 100771*q. Factor -7/12*p**4 + 1/2*p**q + 1/12*p**5 + 0*p**2 + 0 + 0*p.
p**3*(p - 6)*(p - 1)/12
Let n(d) be the second derivative of -d**6/120 + d**5/60 + 5*d**4/24 + d**3/2 - 10*d**2 + 115*d. Let l(h) be the first derivative of n(h). Factor l(c).
-(c - 3)*(c + 1)**2
Let s(z) = -7 - 3*z - 4*z**2 + 3*z**5 + 7 + 10*z**3 - 2*z + 8*z**4 + 4. Let l(i) = i**5 + i**4 + i**3 + 1. Let o(m) = -4*l(m) + s(m). Factor o(g).
-g*(g - 5)*(g - 1)*(g + 1)**2
Let c(u) be the third derivative of 1/16*u**4 + 7/480*u**6 + 126*u**2 + 0*u**3 + 0*u + 23/240*u**5 + 0. Solve c(x) = 0 for x.
-3, -2/7, 0
Let k = 1357 + -1357. Let p(q) be the first derivative of 2/3*q**2 - 15 - 1/4*q**4 + k*q**3 - 1/15*q**5 + 0*q. What is d in p(d) = 0?
-2, 0, 1
Let g(r) = -r**3 - 24*r**2 - 34*r + 229. Let d be g(-22). Factor 6/5*j + d - 3/5*j**2.
-3*(j - 5)*(j + 3)/5
Let p(c) be the third derivative of c**8/10080 - 7*c**6/1080 + c**5/30 - c**4/12 - 32*c**3/3 + 63*c**2. Let b(m) be the second derivative of p(m). Factor b(n).
2*(n - 2)*(n - 1)*(n + 3)/3
Let r be 20 + 1 - (-114)/11438*-129. Determine u, given that 2112/7*u + 1352/7*u**3 + r*u**4 + 4/7*u**5 + 512/7 + 2818/7*u**2 = 0.
-16, -1, -1/2
Suppose -1224*g + 1228*g + 5*o - 73 = 0, -4*g - 5 = -o. Determine v, given that -32/19*v**4 - 66/19*v**g + 112/19*v**3 - 8/19 - 56/19*v = 0.
-1/4, 2
Let w be 0 + (-2)/1 + 4. Let r be ((-10)/(-15))/(12/(-720)*-8)*(-30)/(-200). Determine o, given that 1 - 1/4*o**w - r*o = 0.
-4, 1
Let o(t) be the third derivative of t**6/420 + t**5/10 + 2*t**2 - 314*t. Suppose o(y) = 0. What is y?
-21, 0
Let p(r) be the second derivative of -1/7*r**7 + 0 + 0*r**3 - 3/4*r**6 - 9/10*r**5 + 93*r + 0*r**2 + 1/2*r**4. Factor p(q).
-3*q**2*(q + 2)**2*(4*q - 1)/2
Let x(k) be the first derivative of 20/3*k**3 - 2*k**5 + 5/6*k**6 - 18 + 5/2*k**2 - 10*k - 5/2*k**4. What is d in x(d) = 0?
-1, 1, 2
Let r = 2 - 1. Let h = 48 + -51. Let g(d) = -63*d**2 + 27*d - 6. Let v(u) = -u - 1. Let z(x) = h*v(x) + r*g(x). Solve z(j) = 0.
1/7, 1/3
Let z(s) = -11*s**3 - 193*s**2 - 496*s - 332. Let b(f) = 10*f**3 + 190*f**2 + 495*f + 330. Let l(a) = 6*b(a) + 5*z(a). Suppose l(t) = 0. Calculate t.
-32, -2, -1
Let a = 146 + -64. Factor l**3 + a*l - 63*l - 37*l + 3*l**3 - 6*l**2.
2*l*(l - 3)*(2*l + 3)
Factor 72/7*x + 240/7 + 3/7*x**2.
3*(x + 4)*(x + 20)/7
Factor 2/13*h**3 - 58/13*h**2 - 62/13 - 122/13*h.
2*(h - 31)*(h + 1)**2/13
Suppose 0 = -419*c + 1696 - 439. Let 88/7*v**2 + 0 + 10/7*v**4 + 74/7*v**c + 24/7*v = 0. What is v?
-6, -1, -2/5, 0
Suppose -13*t + 2*t = -18*t - 44*t. Let v(s) be the second derivative of 0 - 1/16*s**4 + s + t*s**3 + 0*s**2. Factor v(d).
-3*d**2/4
Let y(u) = 4*u**4 - 504*u**3 - 1584*u**2 - 1640*u - 548. Let a(z) = z**4 - 168*z**3 - 528*z**2 - 548*z - 183. Let p(r) = 8*a(r) - 3*y(r). Solve p(g) = 0 for g.
-1, 45
Let c(t) be the third derivative of 0*t**3 + 50653/16*t**4 - 4107/40*t**5 + 0*t - 1/140*t**7 + 14 + 111/80*t**6 - 2*t**2. Solve c(a) = 0.
0, 37
Let d(j) be the first derivative of -j**8/2800 - j**7/700 + j**5/100 + j**4/40 - 64*j**3/3 - 16. Let o(a) be the third derivative of d(a). Factor o(n).
-3*(n - 1)*(n + 1)**3/5
Let p be (1160/(-240) - 1)/(28/(-16)). Determine l so that -8 + 56/3*l + p*l**2 = 0.
-6, 2/5
Let f = 7/130 - -17617/1170. Find r such that 2/9*r**2 + f*r + 2312/9 = 0.
-34
Let x(g) be the third derivative of g**8/2520 - g**7/140 + g**6/45 - 43*g**5/20 - 108*g**2. Let l(p) be the third derivative of x(p). Factor l(o).
4*(o - 4)*(2*o - 1)
Determine w so that 187/7*w**2 - 124/7 - 3/7*w**3 - 60/7*w = 0.
-2/3, 1, 62
Let y = 34466 + -34460. Let l(u) be the third derivative of 1/33*u**3 + 1/660*u**y + 0*u - 1/330*u**5 + 24*u**2 + 0 - 1/132*u**4. Suppose l(v) = 0. What is v?
-1, 1
Let k(c) be the first derivative of -109 + 3/4*c**4 + 0*c**2 + 2*c**3 + 0*c. Suppose k(j) = 0. Calculate j.
-2, 0
Let m(f) be the third derivative of f**5/75 - 153*f**4/10 + 1828*f**3/15 - 4686*f**2. Solve m(k) = 0 for k.
2, 457
Let n = 15 + -11. Let q = 3666271 + -3666241. Factor -32 - 13/2*d**3 - 1/2*d**n - q*d**2 - 56*d.
-(d + 1)*(d + 4)**3/2
Let r(k) = 17*k**3 - 14*k**2 - 25*k - 6. Let n be 7/(-25 + 4)*18. Let c(m) = 15*m**3 - 15*m**2 - 25*m - 5. Let q(j) = n*c(j) + 5*r(j). Factor q(h).
-5*h*(h - 5)*(h + 1)
Let h(i) be the first derivative of 45/2*i**2 - 1/8*i**3 - 1350*i - 135. Solve h(d) = 0 for d.
60
Let g(p) = p**3 - p**2 - 5*p. Let v(l) = 10*l**3 - 95*l**2 - 220*l - 100. Let 