of -1/8*n**3 + 21/4*n**2 - 69 + 87/8*n. Determine a, given that o(a) = 0.
-1, 29
Let n(w) be the third derivative of -1/150*w**5 + 0 + 0*w + 1/6*w**4 - 152*w**2 - 16/15*w**3. Factor n(l).
-2*(l - 8)*(l - 2)/5
Let o(g) be the third derivative of g**5/720 + 41*g**4/96 - 900*g**2. Suppose o(p) = 0. What is p?
-123, 0
Let x(w) = 26*w - 19. Let o be x(15). Solve -48 + 327*t - 4*t**2 - o*t + 8 = 0 for t.
-10, -1
Factor 2/17*h**3 - 100920/17 - 262/17*h**2 + 10208/17*h.
2*(h - 58)**2*(h - 15)/17
Let 22202*z - 15011*z**2 + 81602*z - 33708 - 698*z**3 + 44895*z - 7*z**4 - 26375*z = 0. What is z?
-53, 2/7, 6
Let h be 1/48*-8*3/(-4). Let v(t) be the first derivative of -3/8*t**2 + h*t**3 - 9 + 3/8*t. Determine b, given that v(b) = 0.
1
Let k(o) = 8*o**2 - 2*o - 13. Let l(n) be the third derivative of 1/60*n**5 - 1/6*n**3 + 0*n + 1/24*n**4 + 0 + 28*n**2. Let f(m) = -k(m) + 3*l(m). Factor f(c).
-5*(c - 2)*(c + 1)
Let q be 7 + (-424)/64 - 34/144. Let j(f) be the third derivative of -q*f**4 + 0*f - 9*f**2 + 0 + 1/180*f**5 + 25/18*f**3. Factor j(k).
(k - 5)**2/3
Suppose 42 = 2*p + 28, p = 6*u - u - 8. Find w such that 1/2*w**u + 48 + 32*w + 7*w**2 = 0.
-6, -4
Suppose -77*i - 96 = -85*i. Factor i*l**2 + 3*l**3 + 182*l - 83*l - 87*l.
3*l*(l + 2)**2
Suppose -4*k = 6*n - n - 70, -5*k = -n - 102. Let v be k/110 + (-229)/(-11). Find p, given that -v*p + 9*p**2 - 12 + 6 + p**2 + 17*p**2 = 0.
-2/9, 1
Let d(n) be the first derivative of n**4/4 - 5*n**3/3 - 9*n**2 + 72*n - 1062. Let d(s) = 0. What is s?
-4, 3, 6
Let s(i) = 3*i**2 - i - 5. Let l(w) = -2*w**3 - 1452*w**2 - 256320*w + 257792. Let f(g) = -l(g) - 6*s(g). Factor f(r).
2*(r - 1)*(r + 359)**2
Find t, given that 1/2*t**4 + 82*t**2 + 14*t**3 - 224*t + 0 = 0.
-16, -14, 0, 2
Factor -1712/7 + 864/7*x - 4/7*x**2.
-4*(x - 214)*(x - 2)/7
Suppose 1 = 2*w + f, -f = 3*w - 2 - 1. Suppose -385 + 85 - 130 + 78*m - 3*m**w - 77 = 0. Calculate m.
13
Let b(q) = q**2 - 66*q - 1154. Let m(j) = j**2 + j + 1. Let i be (9 + 1)/(-5) + -2. Let r(o) = i*m(o) + 2*b(o). Factor r(y).
-2*(y + 34)**2
Let c(u) be the first derivative of -3*u**4/4 - 283*u**3 - 60489*u**2/2 - 59643*u - 4948. Suppose c(t) = 0. Calculate t.
-141, -1
Let p(x) be the first derivative of x**5 - 15*x**4/4 - 5*x**3/3 + 15*x**2/2 + 575. Factor p(u).
5*u*(u - 3)*(u - 1)*(u + 1)
Let n(d) be the second derivative of d**7/252 - 5*d**6/144 - 7*d**4 + 175*d. Let c(j) be the third derivative of n(j). Determine i, given that c(i) = 0.
0, 5/2
Let w be (-12 - (16 - 7)) + 2. Let y be (w/(-13) - 1)*(-52)/(-156). Factor -4/13*p**3 + 0*p**2 + 2/13*p**4 - y + 4/13*p.
2*(p - 1)**3*(p + 1)/13
Let l(m) be the second derivative of -m**8/13440 + m**7/1260 + 20*m**4/3 - 59*m. Let g(x) be the third derivative of l(x). Solve g(f) = 0 for f.
0, 4
Let l(y) = -3*y**4 - 33*y**3 - 88*y**2 + 264*y + 2. Let c(g) = 10*g**4 + 105*g**3 + 265*g**2 - 792*g - 7. Let i(h) = 2*c(h) + 7*l(h). Factor i(u).
-u*(u - 2)*(u + 11)*(u + 12)
Let p(j) be the second derivative of j**6/35 - 39*j**5/10 + 212*j**4/7 + 516*j**3/7 + 147*j - 1. Factor p(b).
6*b*(b - 86)*(b - 6)*(b + 1)/7
Let b be (-3 - (0 - 2))/((-218)/8 - -27). Find x, given that 1 - 14/5*x**3 + 1/5*x**b - 19/5*x + 1/5*x**5 + 26/5*x**2 = 0.
-5, 1
Let f = 865/8 - 12967/120. Let n(v) be the third derivative of f*v**4 + 0*v**3 - 1/300*v**6 - 1/525*v**7 - 12*v**2 + 0*v + 2/75*v**5 + 0. Factor n(l).
-2*l*(l - 2)*(l + 1)*(l + 2)/5
Let -909*b + 70*b**2 + 66*b**2 + 67*b**2 + 62*b**2 - 266*b**2 = 0. What is b?
-909, 0
Let u be ((-24)/7)/(17/(5950/(-45))). Factor -800/3 - u*k - 2/3*k**2.
-2*(k + 20)**2/3
Let s(n) be the first derivative of 2*n**3/3 + 606*n**2 + 3483. Determine g, given that s(g) = 0.
-606, 0
Let o(c) be the third derivative of -5*c**4/12 - 164*c**3/3 - 174*c**2 + 1. Let j be o(-33). Factor -9*i**j - 12 - 3/2*i**3 - 18*i.
-3*(i + 2)**3/2
Solve -181/7*c**2 - 1/7*c**5 - 160/7*c - 52/7 - 13*c**3 - 19/7*c**4 = 0.
-13, -2, -1
Let i = 418 + -137. Let v = -281 + i. Factor -2/3*j**2 - 4/9*j + 0*j**3 + 2/9*j**4 + v.
2*j*(j - 2)*(j + 1)**2/9
Let w = 452 - 441. Factor 0*j**3 + j**5 + 2*j**5 + 6*j**2 - 2*j**5 - 896*j**4 + 900*j**4 - w*j**3.
j**2*(j - 1)**2*(j + 6)
Let b(l) be the second derivative of 1 - 19/6*l**3 - 9*l**2 - 1/12*l**4 + 52*l. Determine j, given that b(j) = 0.
-18, -1
Let i(l) be the second derivative of -l**7/14 - 167*l**6/10 - 741*l**5/10 - 82*l**4 - 5406*l. Let i(d) = 0. What is d?
-164, -2, -1, 0
Let s(p) = -6*p + 15. Let q be s(2). Factor -13*n**q + 2*n**4 + 14*n**3 + 3*n**3 + 2*n**2.
2*n**2*(n + 1)**2
Let x = -8189/21 + 2739/7. Let 4/3*k**2 - 2*k**4 - 2/3*k**5 + 2/3 - x*k**3 + 2*k = 0. What is k?
-1, 1
Let b = 1952668 + -1952665. Factor 0*r - 3/4*r**5 + 111/4*r**b - 57/4*r**2 + 0 - 51/4*r**4.
-3*r**2*(r - 1)**2*(r + 19)/4
Let a(x) be the first derivative of -10/7*x**2 - 4/21*x**3 + 35 + 8*x. Solve a(j) = 0 for j.
-7, 2
Let y(j) be the first derivative of -37 + 17/5*j**2 + 0*j + 2/15*j**3. Factor y(f).
2*f*(f + 17)/5
Let 2/9*g**2 + 10/3*g + 8 = 0. Calculate g.
-12, -3
Let t(d) be the second derivative of d**7/70 - 7*d**6/40 + 3*d**5/5 + d**4/2 - 8*d**3 - 69*d**2/2 + 87*d. Let y(h) be the first derivative of t(h). Factor y(g).
3*(g - 4)*(g - 2)**2*(g + 1)
Suppose 484*h - 1448 = -240*h. Factor 0 + 12/5*f - 3/5*f**h.
-3*f*(f - 4)/5
Let b(q) = -11*q + 218. Let u be b(12). Suppose 4*h + u - 94 = 0. Factor 0*z - 4/7*z**4 - 24/7*z**h - 20/7*z**3 + 0.
-4*z**2*(z + 2)*(z + 3)/7
Let n(h) be the first derivative of -104*h**3/15 - h**2/15 + 469. Suppose n(b) = 0. What is b?
-1/156, 0
Let m(b) = -2169*b + 36876. Let q be m(17). Let 0 - 2/17*o - 14/17*o**q + 16/17*o**2 = 0. What is o?
0, 1/7, 1
Let c be (338256/(-42))/(-6) - 4/14. Let v = c - 20128/15. Factor -8/15 + v*w**3 + 2/5*w**2 + 0*w.
2*(w - 1)*(w + 2)**2/15
Let m(g) be the first derivative of -2*g**7/945 - g**6/270 - g**2/2 + 11*g - 93. Let f(s) be the second derivative of m(s). Factor f(v).
-4*v**3*(v + 1)/9
Let f(x) be the third derivative of x**6/120 - 719*x**5/30 + 2873*x**4/24 - 718*x**3/3 + 27*x**2 - 5*x - 7. Find l, given that f(l) = 0.
1, 1436
Let l(h) be the first derivative of h**4/22 + 52*h**3/11 + 945*h**2/11 - 48600*h/11 - 4071. Factor l(r).
2*(r - 12)*(r + 45)**2/11
Let i(l) = -l**2 - 180*l - 1028. Let d be i(-6). Let h(x) be the second derivative of d*x - 1/5*x**3 + 0*x**2 + 0 + 1/20*x**4. Factor h(f).
3*f*(f - 2)/5
Let n(l) be the first derivative of 3/8*l**4 + 44 + 0*l + 2/3*l**3 - 1/10*l**5 + 0*l**2. Solve n(p) = 0 for p.
-1, 0, 4
Solve 9407*y**3 + 42420*y - 1251*y**3 - 21*y**5 - 16200 + 547*y**4 + 46362*y**2 + 4255*y**3 + 341*y**4 = 0.
-5, -2, 2/7, 54
Let l be (-4)/((-56)/21)*-6. Let n be -10 - (17017/(-88) + l). What is x in -75/4 + n*x**2 - 135/8*x + 627/8*x**3 + 63/8*x**4 = 0?
-5, -2/7, 1/3
Let k(t) be the second derivative of t**4/4 - 59*t**3/2 + 945*t**2 + 6899*t. Factor k(w).
3*(w - 45)*(w - 14)
Determine m, given that -2*m**4 + 83*m**3 + 75*m**3 - 174*m**3 + 16 - m**5 + 27*m**3 + 4*m**2 - 28*m = 0.
-4, -2, 1, 2
Factor 3/4*a**4 + 0*a + 0 + 3/4*a**3 + 0*a**2.
3*a**3*(a + 1)/4
Let r be (200/15)/(6/45). Let m = 162 - r. Suppose -61*j - 5 + 0 + j**2 - j**3 + 4 + m*j = 0. Calculate j.
-1, 1
Let j = 622/7 + -9302/105. Let y(g) be the first derivative of 1/5*g**2 + 0*g**4 - j*g**3 + 0*g - 16 - 1/15*g**6 + 4/25*g**5. What is f in y(f) = 0?
-1, 0, 1
Let d = -7 - 112. Let i = d + 167. Solve 52*n**2 - 22*n**3 + 2*n**4 - i*n**2 + 16*n**4 = 0 for n.
0, 2/9, 1
Let y(f) be the second derivative of -2*f - 1/54*f**4 - 32/9*f**3 + 17 - 256*f**2. Solve y(z) = 0.
-48
Let u = -85171/4 + 21323. Factor -1/4*t**4 + u*t + 0 - 99/4*t**2 - 21/4*t**3.
-t*(t - 1)*(t + 11)**2/4
Let b(r) = -r + 1. Let h(z) = -z - 1. Let j(q) = -q**2 - 2*q + 13. Let w(a) = -4*h(a) - j(a). Let c(v) = 36*b(v) + 4*w(v). Factor c(x).
4*x*(x - 3)
Let u(k) be the first derivative of 3*k**4/28 + 116*k**3/21 - 285*k**2/14 + 82*k/7 + 2437. Factor u(g).
(g - 2)*(g + 41)*(3*g - 1)/7
Let z(w) = 415*w + 4 - 416*w - 5. Let o(f) = f**3 - 17*f**2 + 89*f - 187. Let k(d) = -3*o(d) + 21*z(d). Factor k(v).
-3*(v - 6)**2*(v - 5)
Suppose f = 7*h + 38, -5*f + 5*h = -4*f - 28. Factor -50/17*c**2 + 0 + 24/17*c + 28/17*c**f - 2/17*c**4.
-2*c*(c - 12)*(c - 1)**2/17
Let p(z) = -2*z**4 - z**3 - 3*z. Let j(s) = -90*s**3 + 50*s**2 + 15*s. Let r(t