vative of z(y). Factor v(j).
-3*j**2*(j + 1)**2*(3*j + 2)/4
Let w(k) = 11*k**3 - 176*k**2 - 3*k + 88. Let p(c) = -7*c**3 + 114*c**2 + 2*c - 59. Let z(b) = -8*p(b) - 5*w(b). Let z(y) = 0. What is y?
-1, 1, 32
Let r(k) be the third derivative of 0 - 1/50*k**5 - 8/15*k**3 - 2*k**2 - 38*k - 7/30*k**4. Factor r(w).
-2*(w + 4)*(3*w + 2)/5
Solve -n**2 + 91*n - n**2 - 14*n - 45*n + 4*n**2 + 128 = 0 for n.
-8
Let d be 27*(-2)/6*-3. Suppose -4 = d*x - 29*x. Factor -2*q**3 - 2*q**x - 2*q**5 + 2*q**5 - 2*q**2 + 2*q**5 + 4*q**4.
2*q**2*(q - 1)*(q + 1)*(q + 2)
Let q(y) be the third derivative of y**6/15 - 71*y**5/15 + 35*y**4/6 + 1179*y**2. Find w, given that q(w) = 0.
0, 1/2, 35
Suppose 8*n - w = 11*n - 9, 0 = -2*n + 4*w - 8. Let g(j) be the first derivative of 12 + 4/3*j**3 - 2/3*j**n - 8/3*j. Factor g(x).
4*(x - 1)*(3*x + 2)/3
Let z(o) be the second derivative of 5/3*o**3 - 267*o + 0*o**2 - 5/12*o**4 + 0. Let z(m) = 0. What is m?
0, 2
Let y(q) be the second derivative of 3*q**5/140 + q**4/28 - 5*q**3/14 + 9*q**2/14 - 8*q - 30. What is h in y(h) = 0?
-3, 1
Factor 2*u**3 + 9*u**2 + 7*u**2 + 24 - 16391*u + 16429*u.
2*(u + 1)*(u + 3)*(u + 4)
Let u(b) be the second derivative of b**5/100 - b**4/3 + 34*b**3/15 - 32*b**2/5 + 681*b. Factor u(t).
(t - 16)*(t - 2)**2/5
Let w(a) be the first derivative of 168*a**2 - 4/3*a**3 + 166 - 7056*a. Let w(f) = 0. What is f?
42
Let y(x) be the third derivative of x**7/1512 + 7*x**6/144 - 3*x**4/4 - x**3/3 - 114*x**2. Let a(w) be the second derivative of y(w). What is l in a(l) = 0?
-21, 0
Let n = -141 + 144. Determine x, given that -201*x**4 + 660*x**3 - 552*x**n + 36*x**5 - 15*x**2 - 4*x + 4*x = 0.
0, 1/4, 1/3, 5
Suppose -5*s = -l + 55, -5*s - 3*l - 44 = -9. Let v be 16 + -12 + s*(-1)/(-3). Solve -4/3*w**3 + 4/3*w + v*w**4 - 2/3 + 0*w**2 = 0.
-1, 1
Let c(g) = -13*g**3 + 44*g**2 - 21*g - 15. Let z(r) = -46 + 22*r**2 + 91 - 53 - 6*r**3 - 10*r. Let k(m) = -4*c(m) + 10*z(m). Find y such that k(y) = 0.
-1/2, 1, 5
Let p(q) be the first derivative of 10368*q**5/25 + 1908*q**4 + 12736*q**3/5 + 5397*q**2/10 - 294*q/5 + 5394. Let p(n) = 0. Calculate n.
-7/4, -2/9, 1/24
Let a = 941 - 917. Let p(t) be the first derivative of 26 - 190/3*t**3 + 64*t**2 - a*t + 25/2*t**4. Solve p(q) = 0 for q.
2/5, 3
Let z = 1264/185 - -45788/555. Factor -8978/3 - 2/3*d**2 - z*d.
-2*(d + 67)**2/3
Factor 3/2*r**3 - 170 - 97/2*r**2 + 176*r.
(r - 2)**2*(3*r - 85)/2
Factor -4*l**3 - 3*l - 3*l**4 - 13*l + 8*l**3 - 3*l**2 - 2*l + 8*l**3.
-3*l*(l - 3)*(l - 2)*(l + 1)
Let t be (1 - 81/30)/((-59)/(-2360)*-8). Factor -t*m**2 + 17/2*m**4 + m**3 - m + 0.
m*(m - 1)*(m + 1)*(17*m + 2)/2
Let m be (2 - (-2)/(-3)) + (-118354)/(-177). Let j = m - 2677/4. Factor 9/4 + 0*i**3 + 6*i - j*i**4 + 9/2*i**2.
-3*(i - 3)*(i + 1)**3/4
Factor 963 - 730*q - 5457938*q**3 - 88*q**2 - 147 + 5457940*q**3.
2*(q - 51)*(q - 1)*(q + 8)
Let g(p) be the second derivative of p**7/14 + 309*p**6/10 + 369*p**5/4 + 307*p**4/4 + 6*p - 116. Factor g(j).
3*j**2*(j + 1)**2*(j + 307)
Let p(i) be the first derivative of i**4 - 6364*i**3/3 - 6370*i**2 - 6372*i - 3712. Let p(s) = 0. Calculate s.
-1, 1593
Let n(o) = 5*o - 12. Let h be n(4). Solve -h*x**3 - 16*x**2 + 9*x**4 + 3*x**4 - 13*x**4 = 0 for x.
-4, 0
Let c(j) be the first derivative of -61 + 4/9*j**3 + 0*j + 1/3*j**2 - 4/15*j**5 - 1/6*j**4. Suppose c(q) = 0. What is q?
-1, -1/2, 0, 1
Let r(h) be the first derivative of h**4/26 - 76*h**3/39 - 551*h**2/13 + 1176*h/13 - 5088. Solve r(t) = 0.
-12, 1, 49
Solve -15/7*i**3 + 32/7 + 60/7*i + 20/7*i**2 - i**4 = 0 for i.
-2, -8/7, -1, 2
Let a = -109352 - -109355. Factor 40/13*i**2 - 2/13*i**a + 0*i + 0.
-2*i**2*(i - 20)/13
Let b = 5273 + -26243/5. Let t = b + -239/10. Factor 3/2*c - 1/2*c**4 - 3/2*c**3 + 1 - t*c**2.
-(c - 1)*(c + 1)**2*(c + 2)/2
Solve -79*m**2 + 76*m**2 - 1232*m - 45*m**2 - 16*m**2 - m**3 - 6428 + 156 = 0 for m.
-28, -8
Factor -j**3 + 4 + 3*j**2 + 4 + 3*j**2 + 24*j - 21*j + 12*j.
-(j - 8)*(j + 1)**2
Let v(f) be the third derivative of f**6/360 - 403*f**5/20 + 487227*f**4/8 - 196352481*f**3/2 + 19*f**2 + f + 6. Let v(b) = 0. Calculate b.
1209
Let b(s) = 2*s**2 + 3*s - 4. Let u(y) = y**3 + 6*y**2 + 2*y + 9. Let k be u(-6). Let n be b(k). Let -7*f + 5*f - 12*f - n*f**2 - 25 - 16*f = 0. Calculate f.
-5, -1
Let h(z) = z + 22. Let m be h(-23). Let n be (-1 - m)/(5/(20/4)). Factor 5 + 5 - 12 + 4*j - 2*j**2 + n*j**2.
-2*(j - 1)**2
Let t(d) = -4*d - 35. Let o be t(-10). Suppose -o*y - 3 = -6*y. Solve 0*f + 2/11*f**2 + 2/11*f**y + 0 = 0 for f.
-1, 0
Factor -1404/5 - 183/5*h - 3/5*h**2.
-3*(h + 9)*(h + 52)/5
Let q = -12462 + 62312/5. Let s be (-42)/(-20)*(-24)/(-9). Determine o, given that -4/5*o + q*o**2 + 0 + 34/5*o**3 + s*o**4 = 0.
-1, -1/2, 0, 2/7
Let p(s) be the first derivative of 0*s**2 - 18*s**4 + 0*s**3 - 1/27*s**6 + 179 + 0*s + 8/5*s**5. Suppose p(u) = 0. Calculate u.
0, 18
Factor 1311*k**3 + 78*k**5 - 10*k**5 + 3174*k**2 - 132*k**4 - 65*k**5.
3*k**2*(k - 23)**2*(k + 2)
Let m be (2/4)/(2/8). Let i(n) = -5*n**3 + 9*n**2. Let w(u) = 80*u**2 - 33*u**2 + u**3 - 47*u**2. Let t(y) = m*w(y) + i(y). Find l such that t(l) = 0.
0, 3
Let i(j) = 10*j**3 + 328*j**2 + 9366*j + 82764. Let h(z) = -11*z**3 - 326*z**2 - 9365*z - 82764. Let p(u) = -6*h(u) - 7*i(u). Factor p(s).
-4*(s + 19)*(s + 33)**2
Factor -8/7*d + 2/7*d**4 + 18/7*d**2 + 0 - 12/7*d**3.
2*d*(d - 4)*(d - 1)**2/7
Let y(b) = b**5 - 69*b**4 - 72*b**3 + 146*b**2 - 12*b. Let w(i) = i**5 - 69*i**4 - 72*i**3 + 145*i**2 - 10*i. Let k(m) = -6*w(m) + 5*y(m). Factor k(l).
-l**2*(l - 70)*(l - 1)*(l + 2)
Suppose 5*w**2 - 195*w - 711 - 707 - 742 = 0. What is w?
-9, 48
Let z(w) = -163817*w**2 - 18108*w - 488. Let g(t) = -1474350*t**2 - 162970*t - 4395. Let k(j) = 4*g(j) - 35*z(j). Find o, given that k(o) = 0.
-10/181
Let y(s) = -5*s**2 - 6890*s + 2171405. Let k(m) = m**2 + 30*m. Let o(x) = 10*k(x) + y(x). Let o(u) = 0. Calculate u.
659
Let k(j) be the second derivative of -51*j**5/20 + 15*j**4/2 - 9*j**3/2 - 6*j**2 + 1329*j. Suppose k(p) = 0. Calculate p.
-4/17, 1
Let t(p) be the second derivative of -p**4/30 + 32*p**3/15 - 35*p**2 + 2904*p. Suppose t(n) = 0. What is n?
7, 25
Find v such that -2/7*v**5 + 0 - 152/7*v**2 + 24/7*v**4 - 36/7*v**3 - 90/7*v = 0.
-1, 0, 5, 9
Let t(v) = -v**2 - 257*v - 13203. Let p be t(-71). Factor b**4 + 0*b**p - b**2 + 1/2*b**5 - 1/2*b + 0.
b*(b - 1)*(b + 1)**3/2
Solve 1759*r - 422858 - 3*r**2 + 102071 + 203*r = 0.
327
Let o(s) be the second derivative of s**5/40 - 40*s**4/3 - 107*s**3/4 + 394*s. Factor o(g).
g*(g - 321)*(g + 1)/2
Suppose -11*t + 8 = -9*t. Suppose 6*k - 2*k + 20 = 3*r, -t*r + 22 = -3*k. Factor -r*q - 2*q**2 + 14*q**3 - 10*q**3 + 6*q**2 - 4.
4*(q - 1)*(q + 1)**2
Let n(o) = -5*o**5 - 45*o**4 - 155*o**3 - 110*o**2 + 5*o + 15. Let h(g) = -g**4 + 3*g**3 - 2*g**2 - g - 3. Let s(w) = -5*h(w) - n(w). What is k in s(k) = 0?
-6, -2, 0
Suppose 28282*j - 28252*j = 30. Factor a + 3/4*a**2 - j - a**3 + 1/4*a**4.
(a - 2)**2*(a - 1)*(a + 1)/4
Solve -1300 + 197*l**2 - 1442 + 181*l + 214 - 199*l**2 + 9*l = 0 for l.
16, 79
Let d(s) = 6*s - 126. Let n be d(21). Let v be (n/(-1))/(936/117). Find q, given that v + 6/13*q + 2/13*q**2 = 0.
-3, 0
What is z in 0*z + 21*z**3 + 46/7*z**4 + 0*z**2 - 1/7*z**5 + 0 = 0?
-3, 0, 49
Let p(k) be the first derivative of k**4 + 32*k**3/3 + 10*k**2 - 200*k - 1521. Factor p(s).
4*(s - 2)*(s + 5)**2
Let l(p) be the third derivative of p**5/20 + 105*p**4/8 - 107*p**3 + 2882*p**2. Factor l(a).
3*(a - 2)*(a + 107)
Suppose 4*n - 25 = -9. Suppose -747*t + 736*t = 0. Find u, given that t + 1/3*u**n + 5*u**2 - 7/3*u**3 - 3*u = 0.
0, 1, 3
Let x(b) = 157*b**4 - 926*b**3 + 747*b**2 + 2740*b + 1200. Let l(w) = w**4 + 4*w**3 - 2*w. Let h(g) = -10*l(g) + x(g). What is y in h(y) = 0?
-5/7, 4
Let q(a) be the first derivative of -20*a**6/3 + 244*a**5/5 - 132*a**4 + 464*a**3/3 - 64*a**2 - 881. Determine g, given that q(g) = 0.
0, 1/2, 8/5, 2
Solve 24370*d + 169*d**3 - 12249*d - 415*d**2 - 12211*d - 205*d**3 - 324*d**3 - 35*d**4 = 0 for d.
-9, -1, -2/7, 0
Let z be ((-18)/(-7))/(6/14). Factor -65*j**2 + 46*j**2 - 45 - z*j + 22*j**2.
3*(j - 5)*(j + 3)
Let n(v) be the first derivative of 14*v**6/3 - 376*v**5/5 + 424*v**4 - 920*v**3 + 450*v**2 - 531. Suppose n(p) = 0. Calculate p.
0, 3/7, 3, 5
Let g = 2857/2 - 1398. Factor 