219. Factor 0 + 0*u + 3/7*u**a + 66/7*u**2.
3*u**2*(u + 22)/7
Let y = -126 - -674. Solve -540*b**3 - 2*b**4 - 8*b + 8*b - 8*b**2 + y*b**3 = 0.
0, 2
Suppose 29*o - 5*o - 1404 = -15*o. Factor 3/2*f**3 + o*f - 30 - 27/2*f**2.
3*(f - 5)*(f - 2)**2/2
Suppose 1275 = 18*l + 33*l. Let w(u) be the first derivative of -l - 5*u**2 + 1/3*u**3 + 25*u. Factor w(b).
(b - 5)**2
Suppose 5*x = 4*t + 23, 5*x + 7*t = 12*t + 25. Factor -10*z**2 - 12*z**x - 38 + 53 - 22*z + 57 + 70*z - 2*z**4.
-2*(z - 2)*(z + 2)*(z + 3)**2
Let b = 6142 + -6139. Let v(r) be the first derivative of 1/3*r**2 - 4/9*r - 7 - 2/27*r**b. Factor v(m).
-2*(m - 2)*(m - 1)/9
Suppose 498 = -40*r + 206*r. Let f(q) be the third derivative of 0*q**4 - 1/735*q**7 + 0*q - r*q**2 + 0*q**3 - 3/70*q**5 + 1/70*q**6 + 0. Factor f(o).
-2*o**2*(o - 3)**2/7
Let s(u) = -6*u**2 + 156*u + 6091. Let t(c) = -16*c**2 - 27*c**2 - 9*c**2 + 53*c**2 - 1. Let k(p) = -4*s(p) - 28*t(p). Factor k(b).
-4*(b + 78)**2
Let c = -555241 + 555244. Suppose 8/3*v**4 - 2/3*v**c + 0*v + 0 - 2/3*v**5 - 4*v**2 = 0. Calculate v.
-1, 0, 2, 3
Solve 8*v**4 - 432 + 3*v**3 - 348*v - 104*v**2 - 126*v**2 - 7*v**4 - 120*v**2 + 286*v**2 = 0 for v.
-6, -4, -2, 9
Let a be (-243)/(-17) - 4 - (37 + -28). What is u in -12/17 + a*u**2 - 26/17*u + 26/17*u**3 - 10/17*u**4 = 0?
-1, -2/5, 1, 3
Let t be (-5)/((-1755)/621) + (-6)/(-26). Let 4/11*w**3 + 6/11*w**t + 2/11*w + 0 = 0. What is w?
-1, -1/2, 0
Find f such that -1535*f**2 + 4410*f - 1220379 - 400296 + 1532*f**2 = 0.
735
Suppose 48*s - 1292 = -478*s - 201 + 487. Suppose 4/3*c**s - 8/3*c**2 + 4/3 - 2/3*c - 2/3*c**5 + 4/3*c**4 = 0. What is c?
-1, 1, 2
Let s(b) be the third derivative of 0*b**3 + 1/30*b**4 - 8*b - 1/60*b**6 + 0 - 1/50*b**5 + b**2. Factor s(g).
-2*g*(g + 1)*(5*g - 2)/5
Find l, given that 563/3*l + 14 + 2504/3*l**2 + 3760/3*l**3 + 256/3*l**4 = 0.
-14, -1/4, -3/16
Let q(i) be the third derivative of i**7/210 - i**6/12 - i**5/20 + 35*i**4/6 + 98*i**3/3 + 603*i**2. Factor q(h).
(h - 7)**2*(h + 2)**2
Let g = 38386 + -344122/9. Factor -g - 104/9*j - 2/9*j**2.
-2*(j + 26)**2/9
Let r(m) be the second derivative of m**7/225 + m**6/75 + m**5/150 - m**4/90 - 28*m**2 + 67*m. Let s(t) be the first derivative of r(t). Factor s(h).
2*h*(h + 1)**2*(7*h - 2)/15
Let a(y) be the third derivative of y**7/1155 - 13*y**6/330 - 48*y**5/55 - 153*y**4/22 - 315*y**3/11 - 298*y**2 - 1. Determine j so that a(j) = 0.
-3, 35
Determine y so that 832/9 - 128/3*y + 2/9*y**3 + 4*y**2 = 0.
-26, 4
Let f(l) be the second derivative of -l**5/60 + 43*l**4/12 + 88*l**3/3 + 266*l**2/3 - 1253*l. Find g, given that f(g) = 0.
-2, 133
Determine i so that 198*i**2 + 0*i - 1047/2*i**3 + 0 - 9/2*i**5 - 210*i**4 = 0.
-44, -3, 0, 1/3
Let h = 904447 + -4522103/5. Let -334/5*j - h - 2*j**2 = 0. What is j?
-33, -2/5
Let h(w) = -4*w**3 - 61*w**2 + 409*w + 431. Let f(r) = -2*r**3 - 30*r**2 + 204*r + 218. Let d(a) = -5*f(a) + 2*h(a). Find y, given that d(y) = 0.
-19, -1, 6
Let i(l) = -7*l**2 + 76*l + 288. Let p(c) = -c**2. Let q(u) = -5*i(u) + 40*p(u). Factor q(y).
-5*(y + 4)*(y + 72)
Factor -2*y**2 - 122 - 258 - 1292*y - 900 + 1620*y.
-2*(y - 160)*(y - 4)
Let f(y) = -10*y**3 + 22*y - 28. Let h(p) = 22*p**3 + p**2 - 44*p + 57. Let j(q) = 18*f(q) + 8*h(q). Find r such that j(r) = 0.
-3, 1, 4
Let a be (46 + -47)*5 - 134/(-8) - 11. Find r, given that a*r**3 - 7/2*r**2 - 3/2 + 17/4*r = 0.
2/3, 1, 3
Let u(n) = -15*n + 9 + 19*n + 11*n + n**2. Let c be u(-15). Determine y, given that 5*y**5 + 7*y**5 - 11*y**5 + 2*y**5 - 6*y**2 - c*y**3 = 0.
-1, 0, 2
Let o(u) be the second derivative of 162*u**3 + 9/5*u**6 - 85*u + 1 - 1/42*u**7 - 2916*u**2 + 963/2*u**4 - 971/20*u**5. Suppose o(w) = 0. What is w?
-1, 1, 18
Let n(d) be the first derivative of -363/4*d**4 - 109 - 588*d + 168*d**2 + 187*d**3. Suppose n(k) = 0. Calculate k.
-1, 14/11
Let k(g) be the first derivative of 2/7*g**3 - 2/7*g**2 + 0*g - 51 - 1/14*g**4. Factor k(m).
-2*m*(m - 2)*(m - 1)/7
Let s(l) be the first derivative of l**6/360 + l**5/90 + 32*l**2 - 30. Let a(x) be the second derivative of s(x). Determine p so that a(p) = 0.
-2, 0
Let r(k) = -k**2 + 15*k + 2. Let t be r(11). What is o in -63 - 36*o + 4*o**2 - t + 21 = 0?
-2, 11
Let n(t) = 4*t**2 - 62*t + 34. Let v(s) = 2*s - 9. Let h be v(12). Let l be n(h). Let -4 + 27*k**5 - 37*k**2 - 22*k - 9/2*k**3 + 81/2*k**l = 0. What is k?
-2/3, -1/2, 1
Let u be ((-3)/5)/((-111)/555). Let h(x) be the third derivative of 1/8*x**4 + 2/3*x**u - 18*x**2 + 0*x + 0 - 1/60*x**5. Find j such that h(j) = 0.
-1, 4
Let f(g) be the third derivative of g**6/60 + 8*g**5 + 239*g**4/12 + 1091*g**2 - 2*g. What is a in f(a) = 0?
-239, -1, 0
Let h be ((-4)/30)/((-161)/69 + 0). Let f(z) be the first derivative of 0*z**4 + h*z**5 + 6 + 0*z**2 + 2/7*z - 4/21*z**3. Solve f(v) = 0 for v.
-1, 1
Let r = 122 - 122. Suppose -16*b = -14*b + p - 8, 4*b - 2*p = r. Solve 5*s**b + 21*s**4 - 12*s - 22*s**4 - s**3 - s**2 + 4*s**3 = 0.
-2, 0, 2, 3
Let v(l) be the first derivative of -4*l**5/85 - 13*l**4/34 - 32*l**3/51 - 5*l**2/17 - 3160. Determine c, given that v(c) = 0.
-5, -1, -1/2, 0
Let u(n) = -n**4 + 13*n**3 + n**2 - 6*n**3 + n - 8*n**3. Let j(p) = -30*p**4 + 65*p**2 - 35*p. Let c(t) = -j(t) + 25*u(t). Solve c(o) = 0.
-2, 0, 1, 6
Suppose 576 - 1/8*z**3 - 264*z - 47/4*z**2 = 0. Calculate z.
-48, 2
Let w(s) be the third derivative of s**8/4032 + s**7/56 + 143*s**5/60 - 9*s**2 - 2. Let o(g) be the third derivative of w(g). Factor o(l).
5*l*(l + 18)
Suppose -5*s + 4*s + 2 = f, -4*s = -4*f + 40. Let -41*t**3 - 7*t**5 + 39*t**3 + f*t**5 + t + 2*t**5 = 0. What is t?
-1, 0, 1
Let s(y) = 37*y**2 - 1518*y - 191987. Let z(w) = -23*w**2 + 1012*w + 127993. Let t(h) = -5*s(h) - 8*z(h). What is d in t(d) = 0?
-253
Let i(p) be the first derivative of -1/12*p**3 - 7/8*p - 15/16*p**2 - 244. Solve i(l) = 0.
-7, -1/2
Factor -16 + 2/15*f**2 - 238/15*f.
2*(f - 120)*(f + 1)/15
Let j be ((-372)/(-7))/(69/322). Factor -84*o + j - 128 - 120 - 4*o**2.
-4*o*(o + 21)
Let 1/4*w**3 - 44*w**2 - 355/4*w - 89/2 = 0. What is w?
-1, 178
Suppose -p - 5*v = -46, -3*p - v - 40 + 122 = 0. Suppose 24*x - p = -26. Let 2/13*k**2 + 4/13*k + x = 0. Calculate k.
-2, 0
Let p(r) be the first derivative of r**3/4 - 219*r**2/8 - 225*r/2 - 671. Factor p(b).
3*(b - 75)*(b + 2)/4
Let o(n) = 8 + 2 + 2 + 0 - n. Let l be o(0). Suppose -21*c**3 - 3*c**5 - 15*c**4 + 24*c + 3*c**2 - 3 + 3 + l = 0. What is c?
-2, -1, 1
Let n(c) be the first derivative of -1/32*c**4 - 121/16*c**2 - 11/12*c**3 + 0*c + 9. Suppose n(z) = 0. Calculate z.
-11, 0
Let k be 1/10 + (-1314)/(-54)*126/60. Factor 4/5*q**2 + k - 64/5*q.
4*(q - 8)**2/5
Suppose -12 = 3*j + 3*c, -271*j + c - 20 = -275*j. Find u, given that 8/3*u + j + 2/9*u**2 = 0.
-6
Suppose -1567 = -1841*d + 2115. Factor 13/7*z**d - 1/7 + 15/7*z**3 - 3/7*z.
(z + 1)*(3*z - 1)*(5*z + 1)/7
Let t = -1629181/3 + 543063. Suppose -5/2*m**2 + 17/6*m**3 - 17/6*m + t - 1/6*m**4 = 0. Calculate m.
-1, 1, 16
Suppose -4*y = -5 - 15. Suppose 4*p - 434 = y*g, 3*g = -3*p - 2 + 314. Find b, given that -p*b**3 + 18*b**2 + 2*b**2 + 81*b**3 + 5*b**4 = 0.
0, 1, 4
Let h(a) be the third derivative of -a**5/390 + 37*a**4/156 + 176*a**3/13 + 2*a**2 + 2905. Let h(k) = 0. What is k?
-11, 48
Suppose 2*l - 8 - 8 = -4*k, 3*l - 6 = 3*k. Let j be -11 - ((-33 - -41) + (-405)/21). Suppose -j*r + 2/7*r**k - 2/7 + 2/7*r**3 = 0. What is r?
-1, 1
Let m(q) = 3*q - 7 - 2*q - 7 + 10. Let y be m(6). Factor 0 + 2/7*k**4 - 1/7*k**5 + 1/7*k + 0*k**3 - 2/7*k**y.
-k*(k - 1)**3*(k + 1)/7
Let 68/9*b**3 - 16/3*b**2 - 22/9*b**4 + 2/9*b**5 + 0*b + 0 = 0. Calculate b.
0, 1, 4, 6
Suppose -143 = -5*a - 123. Suppose 3*w = -3*r + 3, -5 = -a*r + w - 4*w. Factor 4*d**3 + 8/5*d + 0 + 28/5*d**r.
4*d*(d + 1)*(5*d + 2)/5
Suppose 2*t - 8 = 32. Suppose 7*k - 337 = t. Factor -51 + k + p**4.
p**4
Suppose -2*v = y - 31, 0 = y + 5*v - 19 - 24. Let x = -22 + y. Solve -4*r - r**2 - x - 9*r - 2*r + 17*r = 0 for r.
1
Factor 3*y**3 - 4*y**3 + 0*y**3 + 77*y + 20201*y**2 - 20187*y**2 - 90.
-(y - 18)*(y - 1)*(y + 5)
Let v(s) be the first derivative of 112 + 1/15*s**5 - 5/12*s**4 + 1/3*s**3 - 4/3*s + 5/6*s**2. Let v(d) = 0. What is d?
-1, 1, 4
Let g(t) be the first derivative of t**3/18 - 10*t**2/3 - 14*t + 3622. Solve g(k) = 0 for k.
-2, 42
Let p(a) be the third derivative