olve u(i) = 0 for i.
0, 430
Let a(z) be the first derivative of z**6/18 + 28*z**5/5 + 500*z**4/3 + 1110*z**3 + 5733*z**2/2 + 3042*z - 1616. Suppose a(b) = 0. What is b?
-39, -3, -2, -1
Let i be 20 - 32 - (-82)/6. Let j(o) be the first derivative of -5*o + 9 + 0*o**2 + i*o**3. Factor j(h).
5*(h - 1)*(h + 1)
Let v(w) be the third derivative of -w**8/5040 - w**7/210 - w**5/4 + w**3/6 + 114*w**2. Let q(f) be the third derivative of v(f). Factor q(o).
-4*o*(o + 6)
Let p(t) = 64*t**2 - 384*t + 2515. Let j(z) = 103*z**2 - 576*z + 3772. Let f(b) = 5*j(b) - 8*p(b). Factor f(i).
3*(i - 6)*(i + 70)
Let n(s) = -119*s + 23*s + 67*s - 232. Let l be n(-8). Factor l + 5/2*v**3 + 405/2*v - 45*v**2.
5*v*(v - 9)**2/2
Let r(l) be the second derivative of l**6/6 - 7*l**5/2 + 10*l**4/3 + 155*l**3/3 + 195*l**2/2 - 6*l - 9. What is f in r(f) = 0?
-1, 3, 13
Factor 42*x**3 + 40*x**3 + 0*x**4 + 5*x**4 - 27*x**3 - 130*x**2.
5*x**2*(x - 2)*(x + 13)
Let w = 354 - 351. Let r(y) be the third derivative of 1/1470*y**7 + 1/42*y**4 + 0*y + 0 - 1/140*y**5 + 4*y**2 - 1/420*y**6 + 2/21*y**w. Factor r(l).
(l - 2)**2*(l + 1)**2/7
Let f(r) = -r**3 + 2*r**2 + 5*r. Let n(b) = -3*b**3 + 212*b**2 + 425*b + 202. Let j(t) = 4*f(t) - n(t). Factor j(p).
-(p + 1)**2*(p + 202)
Let l(z) = -z**3 + 4*z**2 + 6*z + 5. Let d be l(5). Let y be (-4 - 44/(-10))/(2/d). Determine n so that 32*n**2 - 8*n - 48*n**3 - 1 + 20*n**4 + 4*n**y + 1 = 0.
0, 2/5, 1
Suppose -18*a + 306 = -a. Let o(s) = 56*s + 342. Let p(u) = -u**2 + 226*u + 1370. Let l(q) = a*o(q) - 4*p(q). Find h, given that l(h) = 0.
-13
Let l = 1170554/3 - 390184. Find n, given that 1/9*n - l + 1/9*n**2 = 0.
-3, 2
Let m(s) = -s**3 - 13*s**2 - 2. Let a(g) = 10*g**3 - 2054*g**2 + 1375*g - 227. Let k(j) = a(j) + m(j). Determine w so that k(w) = 0.
1/3, 229
Suppose 33 = -r + 5*i, -5*i + 23 + 12 = 0. Let k(p) be the third derivative of 0 + p**3 + 11*p**r + 0*p - 1/20*p**5 - 1/8*p**4. Factor k(v).
-3*(v - 1)*(v + 2)
Determine l so that -18/7*l + 34/7*l**2 - 2*l**3 - 2/7*l**4 + 0 = 0.
-9, 0, 1
Determine r, given that 484 + 487*r**2 - 1892*r + 200*r**4 - 1180*r**3 + 1180*r**2 - 313*r**2 + 1034*r**2 = 0.
1/2, 1, 11/5
Let c(y) = -2*y**2 - 89*y. Let n(p) = p. Let m(q) = -34*q - 175. Let w be m(-5). Let j(b) = w*n(b) - c(b). Factor j(h).
2*h*(h + 42)
Let s be (-3406)/(-221) + (-20 - (0 + -6)). Solve -10/17*w**3 + s*w + 56/17*w**2 + 0 = 0.
-2/5, 0, 6
Let h(z) be the second derivative of -z**5/35 + 11*z**4/21 - 64*z**3/21 + 8*z**2 - 656*z. Solve h(c) = 0 for c.
2, 7
Let z = -34 + 38. Suppose z*l = -12, 4*p - 3*l - 64 + 7 = 0. Factor 60*y**2 + 8 + 28*y - 100*y + 38*y**3 + 8 + p*y**3.
2*(y + 2)*(5*y - 2)**2
Let s = 45 + -26. Let h = s + -16. Suppose -223*r**2 + 225*r**2 + 4*r**h + 5*r**4 - 3*r**4 = 0. What is r?
-1, 0
Let c(a) be the third derivative of 3*a**2 + 13*a + 7/10*a**7 + 1/5*a**5 + 0*a**3 + 0 + 7/10*a**6 + 0*a**4. Let c(d) = 0. What is d?
-2/7, 0
Let n(k) = -27*k**4 - 6*k**3 - 14*k**2 - 20*k - 13. Let m(h) = 4*h**4 + h**3 + h**2 + h + 1. Let z(y) = -35*m(y) - 5*n(y). Solve z(p) = 0.
-2, -1, 3
Suppose 5*w + 5 = 3*n - 21, -2*w - 5*n = -2. Let v(j) = j**3 + j**2 + j - 1. Let c(m) = -m**3 - 26*m**2 + 79*m - 44. Let i(p) = w*v(p) + c(p). Factor i(a).
-5*(a - 1)**2*(a + 8)
Let z(x) = x**3 - 1. Let m(q) = 9*q**2 + 77*q - 1. Let l be m(-9). Let k(w) = -8*w**3 - 5*w**2 - 3*w + 16. Let v(o) = l*z(o) + 5*k(o). Factor v(u).
-5*(u - 1)*(u + 3)**2
Let f(k) be the first derivative of 2*k**3/45 - 23*k**2/15 + 224*k/15 - 8724. What is i in f(i) = 0?
7, 16
Let h(b) = 8*b**2 - 1804*b - 60984. Let s(m) = m**2 - 258*m - 8712. Suppose 3*i - 4 = i + 4*r, -5*r = 2*i - 22. Let j(z) = i*h(z) - 44*s(z). Factor j(g).
4*(g + 66)**2
Factor 242/7*j - 104/7 - 18/7*j**2.
-2*(j - 13)*(9*j - 4)/7
Let v(w) be the first derivative of 6*w**5/25 - 291*w**4/10 - 196*w**3/5 + 10502. Factor v(l).
6*l**2*(l - 98)*(l + 1)/5
Determine f, given that 48/7 - 93/7*f**2 - 12*f**3 + 30/7*f - 9/7*f**4 = 0.
-8, -1, 2/3
Find n, given that -508*n + 4*n**4 + 51*n**3 - 3*n**3 + 24*n**2 + 92*n**2 + 340*n = 0.
-7, -6, 0, 1
Find r such that 294*r**2 - 1299*r**2 + 2664*r**4 - 5328*r**4 + 2659*r**4 + 510*r**3 + 500*r = 0.
0, 1, 100
Let t(r) be the third derivative of -r**7/105 - 7*r**6/6 + 149*r**5/10 - 170*r**4/3 + 304*r**3/3 - 7*r**2 - 189. Factor t(k).
-2*(k - 4)*(k - 1)**2*(k + 76)
Factor -6*x**2 + 10 + 700*x + 7*x**2 - 10 + 3*x**2.
4*x*(x + 175)
Suppose -4*y - 24 = -4*t, -6*y - t = 17 - 23. Factor 2/7*v**4 + y - 6/7*v**2 + 0*v**3 + 4/7*v.
2*v*(v - 1)**2*(v + 2)/7
Let o(p) be the second derivative of -p**4/12 + 407*p**3/6 - 405*p**2 + 9284*p. Factor o(f).
-(f - 405)*(f - 2)
Let l(u) be the third derivative of u**7/42 - 11*u**6/15 - 131*u**5/60 - 19*u**4/12 + 1028*u**2. Factor l(b).
b*(b - 19)*(b + 1)*(5*b + 2)
Suppose 21*c = 28 - 7. Let x(f) = -2*f + 1. Let w(q) = q**2 - 13*q + 4. Let d(g) = c*w(g) - 4*x(g). Factor d(i).
i*(i - 5)
Let g(x) be the second derivative of -x**7/189 - x**6/45 + x**5/9 - 547*x - 1. Find a such that g(a) = 0.
-5, 0, 2
Factor 81935320 + 122*m**3 + 967740*m + 115*m**3 + 4745*m**2 - 935*m**2 - 348*m**3 + 116*m**3.
5*(m + 254)**3
Let r(t) be the third derivative of t**8/3192 + t**7/399 - 3*t**6/76 + 11*t**5/114 + 11*t**4/57 - 20*t**3/19 - 1087*t**2. Determine s so that r(s) = 0.
-10, -1, 1, 2, 3
Suppose 117 = p + z + 1, 3*p + z = 344. Suppose p*s - 106*s = 0. Factor -3/8*m**3 + 3/4*m + s + 3/8*m**2.
-3*m*(m - 2)*(m + 1)/8
Let w be (66/(-45))/((-360)/250) - 1. Let o(j) be the second derivative of 0 + 2/9*j**2 + 1/27*j**3 - w*j**4 + 9*j. Factor o(u).
-2*(u - 2)*(u + 1)/9
Let c be (-9)/(-6)*(-2 + 8 + -4). Suppose 5*v = c*l - 74, 0 = -2*l + 3*v + 41 + 8. Factor -12*i - 4*i**2 - 4 + l*i - 3*i.
-4*(i - 1)**2
Let p(i) = -10*i + 130. Let n be p(13). Suppose -5*w - 20 + 30 = n. Factor -w*h - 12/5*h**2 - 1/5*h**4 - 6/5*h**3 - 3/5.
-(h + 1)**3*(h + 3)/5
Let n(v) be the third derivative of -v**2 + 1/150*v**5 - 1/525*v**7 + 0*v**3 + 0 + 74*v + 1/30*v**4 - 1/150*v**6. Find a, given that n(a) = 0.
-2, -1, 0, 1
Let 1235/3*u + 830/3 - 5*u**2 = 0. What is u?
-2/3, 83
Solve 20 - 5*f**2 + 128*f + 10*f - 138*f = 0.
-2, 2
Let -275/7*f**4 - 992/7*f - 1205/7*f**3 - 1794/7*f**2 - 128/7 = 0. What is f?
-8/5, -1, -2/11
Let d = 33/67 - -19099/536. Factor -1/8*g**2 - d - 17/4*g.
-(g + 17)**2/8
Let h = 105401 - 105385. Factor 208*o - 338/3 - 236/3*o**2 - h*o**3 - 2/3*o**4.
-2*(o - 1)**2*(o + 13)**2/3
Suppose -920 - 1376/3*w + 2/3*w**2 = 0. What is w?
-2, 690
Let x(c) be the first derivative of -3*c**5/5 + 18*c**4 + 112*c**3 + 1511. Factor x(t).
-3*t**2*(t - 28)*(t + 4)
Let t(f) = 6*f**3 - 29*f**2 - 35*f + 152. Let l be t(5). Determine k so that -28*k - 490 - 2/5*k**l = 0.
-35
Let v = 36683/118248 + -23/9096. Suppose v + 2/13*k**2 - 6/13*k = 0. Calculate k.
1, 2
Let s(v) be the third derivative of v**7/840 + v**6/160 - 7*v**5/24 - 167*v**2 + 2*v. Factor s(a).
a**2*(a - 7)*(a + 10)/4
Let i(b) be the third derivative of 0*b**3 + 1/90*b**5 - 69*b**2 + 0*b + 5/36*b**4 + 0. Suppose i(o) = 0. What is o?
-5, 0
Let j(o) = -2*o**2 + 78*o + 72. Suppose 116*g + 4 = 115*g. Let b(y) = y**2 - 77*y - 72. Let l(s) = g*b(s) - 3*j(s). Let l(v) = 0. What is v?
-36, -1
Let h(n) be the second derivative of 0 + 24*n + 5/54*n**4 + 1/90*n**5 + 2/9*n**3 + 0*n**2. Let h(m) = 0. Calculate m.
-3, -2, 0
Determine k so that 0 - 2/11*k**5 + 20/11*k**4 + 6/11*k**3 - 64/11*k**2 + 40/11*k = 0.
-2, 0, 1, 10
Factor -663*x - 21*x**3 - 90*x**2 - 5*x**3 + 12*x**3 + 587*x.
-2*x*(x + 1)*(7*x + 38)
Factor 1/4*k**3 + 1 + 3/2*k**2 + 9/4*k.
(k + 1)**2*(k + 4)/4
Suppose 303 = g + 296. Solve g*h - 15*h - 18 + h**2 + 15*h = 0 for h.
-9, 2
Let m(q) be the first derivative of 6*q**2 + 2/3*q**3 + 10*q - 59. Suppose m(z) = 0. What is z?
-5, -1
Let a be -20*1190/2800*(-4)/17. Factor 2/17*p**3 - 24/17 - 16/17*p + 2/17*p**a.
2*(p - 3)*(p + 2)**2/17
Factor 37479*f - 37428*f - 2*f**3 + 14*f**2 + f**3.
-f*(f - 17)*(f + 3)
Suppose 0*l + 12*l + 4*k = 7*l + 15, 0 = -4*k. What is t in -2*t**4 + 0*t + 1/2*t**l + 2*t**2 + 0 - 1/2*t**5 = 0?
-4, -1, 0, 1
Let o be 131 + -121 - (-12 + 7 + 3). What is t in -200/9 - 4/9*t**2 - o*t = 0?
-25, -2
Let r be (-3)/(3/2 + -1)*(-42)/168. Factor r*z - 1/4*z**2 + 7/4.
-(z - 7)*(z + 1)/4
Determine l so that -4599*l**5 + 232*l**3 + 2410*l**5 + 