(u) = a*l(u) - 8*d(u). Let p(w) = 0. Calculate w.
0
Factor -5 + 857*b**3 + 5 + 550*b + 2*b**4 - 7*b**4 - 297*b**3 - 1105*b**2.
-5*b*(b - 110)*(b - 1)**2
Suppose 5*q + 2*j - 3*j - 109 = 0, 3*j - 72 = -4*q. Suppose q = 9*m + 3. Factor -y**2 + y**3 + 4*y**2 + 5*y**m - 11*y**2.
y**2*(y - 3)
Let r(q) be the third derivative of -q**9/98280 + q**8/43680 - 59*q**4/24 + q**2 + 41. Let z(c) be the second derivative of r(c). Factor z(a).
-2*a**3*(a - 1)/13
Let q(b) be the second derivative of -b**6/180 + 3*b**5/40 - b**4/8 - 85*b**3/36 + 25*b**2/2 + 3*b - 31. Factor q(x).
-(x - 5)**2*(x - 2)*(x + 3)/6
Let d(z) be the first derivative of z**5/20 + 7*z**4/18 + 25*z**3/54 + 2*z**2/9 - 145*z + 82. Let a(b) be the first derivative of d(b). Factor a(o).
(o + 4)*(3*o + 1)**2/9
Let r = -148072 - -2517228/17. Find y, given that 0 + 0*y - r*y**4 + 58/17*y**5 + 0*y**3 + 0*y**2 = 0.
0, 2/29
Let u(t) be the second derivative of -t**7/28 - t**6/4 + 33*t**5/5 - 26*t**4 - 771*t. Suppose u(v) = 0. What is v?
-13, 0, 4
Let f(m) be the first derivative of m**5/20 - m**4/4 + m**3/3 - 170*m + 64. Let l(o) be the first derivative of f(o). Factor l(g).
g*(g - 2)*(g - 1)
Factor 0 + 0*z - 19*z**2 - 1/2*z**3.
-z**2*(z + 38)/2
Let t(a) be the second derivative of a**7/21 + 2*a**6 + 333*a**5/10 + 288*a**4 + 1404*a**3 + 3888*a**2 - 3681*a. Determine q so that t(q) = 0.
-12, -6, -3
Let c be (-266)/294 + (-12)/126. Let u = 2 + -5. Let l(b) = -b**2 - b. Let r(w) = 4*w**2 + 4*w. Let h(x) = c*r(x) + u*l(x). Solve h(v) = 0.
-1, 0
Suppose -x = -9*s + 4*s + 10, 0 = -14*x + 70. Let u(y) be the second derivative of -30*y + 0*y**2 + 1/45*y**4 + 1/15*y**s - 1/150*y**5 + 0. Factor u(h).
-2*h*(h - 3)*(h + 1)/15
Let g be (28 - 2)/(28446/23274). Factor g*t - 40/11*t**2 + 2/11*t**3 - 324/11.
2*(t - 9)**2*(t - 2)/11
Let h(v) = 83*v**2 + 6*v - 3. Let a be h(1). Let c = a - 83. Factor -8/3*p + 0 - 70/3*p**c - 16*p**2.
-2*p*(5*p + 2)*(7*p + 2)/3
Let i(t) be the first derivative of t**5/80 - t**3/6 - 50*t + 7. Let h(b) be the first derivative of i(b). Suppose h(y) = 0. What is y?
-2, 0, 2
Let f(t) be the first derivative of 26*t**3/3 - 2*t**2 + 2*t/13 + 77. Determine g so that f(g) = 0.
1/13
Let x be ((-12)/8)/(-4 - (-237)/60). Solve -12 + x + 33*c - 3*c**2 - 102 = 0 for c.
4, 7
Let r(u) be the second derivative of u**6/60 + 15*u**5/8 - 77*u**4/12 - 848*u. Factor r(w).
w**2*(w - 2)*(w + 77)/2
Let q(m) be the first derivative of 28 - 2/15*m**5 + 0*m + 1/2*m**4 + 4/3*m**3 - 8/3*m**2. Factor q(y).
-2*y*(y - 4)*(y - 1)*(y + 2)/3
Let s(g) = 5*g**5 - 224*g**4 - 1581*g**3 + 13*g**2 - 26*g. Let n(k) = k**5 - 56*k**4 - 395*k**3 + 3*k**2 - 6*k. Let b(c) = -26*n(c) + 6*s(c). Factor b(u).
4*u**3*(u + 14)**2
Suppose -2 = 4*l - 3*n, 5*l - 3*n - 13 = -7*n. Let -3*a**4 + l + 10*a**4 + 2*a**3 - 1 + a**4 = 0. Calculate a.
-1/4, 0
Let j(r) = r**3 + 24*r**2 - 22*r + 112. Let g be j(-26). Let u = g + 671. Factor -2*t**u + 16/5*t**2 - 2/5*t - 4/5.
-2*(t - 1)**2*(5*t + 2)/5
Suppose 25 = -5*r + 5*v, 0 = 4*r - 120*v + 117*v + 13. Let b(z) be the first derivative of 2/3*z**3 + 128*z - 16*z**r + 18. What is m in b(m) = 0?
8
Let s = 3/179 + 331/1611. Suppose -8*v = -4*v - 2*q - 10, 8 = 8*q. Suppose -2/3 + 2/3*a**2 + 2/9*a - s*a**v = 0. What is a?
-1, 1, 3
Let q = 11 - 9. Let d(x) = -x**3 + 2*x**2 + 3*x - 2. Let z be d(q). Factor z*f**4 - f**3 + 10 + 5*f**3 - 4*f**5 - 4*f**2 - 10.
-4*f**2*(f - 1)**2*(f + 1)
Suppose 207*c - 230 + 1235 = 542*c. Find w, given that -4/13*w**c + 10/13*w - 14/13*w**2 + 8/13 = 0.
-4, -1/2, 1
Factor -y - 10*y**5 + 5*y**5 - 880*y**3 + y + 885*y**3.
-5*y**3*(y - 1)*(y + 1)
Factor -72*p + 3*p**2 - 32*p + 15781 - 14269 - 31*p.
3*(p - 24)*(p - 21)
Determine s, given that -327 - 32*s**3 + 12*s**4 - 1452*s - 789 - 30*s**3 - 10*s**3 - 9*s**4 - 603*s**2 = 0.
-3, -2, 31
Let x be (1000113/1974)/173 - (-2)/4. Determine b so that -2/7*b - x + 2/7*b**2 = 0.
-3, 4
Let s(l) be the third derivative of 0 - 1/24*l**6 + 0*l + 19/12*l**5 - 275/24*l**4 - 227*l**2 - 605/2*l**3. Determine y so that s(y) = 0.
-3, 11
Suppose 7*r - 2*h = 2*r - 3365, 3*r + 3*h = -1998. Let c = 671 + r. What is u in 3/4*u**2 - 3/4*u**5 - 3/4*u**4 + c + 3/4*u**3 + 0*u = 0?
-1, 0, 1
Let z(t) = 19*t**3 + 91*t**2 - 2160*t + 9440. Let s(g) = 12*g**3 + 61*g**2 - 1440*g + 6292. Let c(n) = 8*s(n) - 5*z(n). Determine v, given that c(v) = 0.
-49, 8
Suppose 2356*i = 1162*i + 1206*i - 36. Suppose 4/5*m - 2/5*m**i + 2/5*m**2 + 0 = 0. Calculate m.
-1, 0, 2
Let u(w) = 16*w + 18. Let m(p) = p**2 - 18*p - 18. Let j be 2 + (-4 - (-4 + -1)). Let f(x) = j*u(x) + 2*m(x). Factor f(s).
2*(s + 3)**2
Suppose 16 = -85*j + 93*j. Solve 10*d**2 - 10*d**2 - 6*d**j - 2*d**3 - 9*d + 5*d**3 = 0.
-1, 0, 3
Let u be (-81)/2*(-8 - 154/(-21)). Let z be 2*(-1 + -1) + 117/u. Factor 4/3*d + z*d**5 + 0 + 13/3*d**3 + 2*d**4 + 4*d**2.
d*(d + 1)**2*(d + 2)**2/3
Suppose 0 = 4*y - 8, 0 = -5*v + 12*y - 8*y + 2. Find b such that -5*b**v + 3*b**2 - 24*b - 700 + 628 = 0.
-6
Let m = -6 + 10. Suppose -5*p - m*v + 30 = 0, -p - v + 2*v - 3 = 0. Factor -c**4 - 56*c**3 - p*c**5 + 3*c**4 - 2*c**5 + 58*c**3.
-2*c**3*(c - 1)*(2*c + 1)
Factor -273 + 129*t + 53 - 194 + 3*t**2.
3*(t - 3)*(t + 46)
Factor 4*p - 142*p - 37 + 3 - 345 + 2*p**2 - 205.
2*(p - 73)*(p + 4)
Let g(d) be the second derivative of 3*d**5/100 + 29*d**4/20 - 61*d**3/10 + 93*d**2/10 + 6432*d. Factor g(v).
3*(v - 1)**2*(v + 31)/5
Let w(t) be the first derivative of -10*t**6/21 - 12*t**5/5 + t**4/7 + 4*t**3 + 8*t**2/7 + 560. What is g in w(g) = 0?
-4, -1, -1/5, 0, 1
Let x(g) = g**3 + 10*g**2 + 7*g - 20. Let j be x(-9). Let t be 1488/480 + j + 1/(-1). Factor 8/5 + 9/10*r**2 - 12/5*r - t*r**3.
-(r - 4)**2*(r - 1)/10
Let s be (-3025)/2310 - (-20)/15. Let v(k) be the third derivative of -s*k**4 + 1/105*k**5 + 0 + 0*k**3 + 0*k + 9*k**2. Factor v(c).
4*c*(c - 1)/7
Let g(i) be the second derivative of 0*i**2 - 184*i + 8*i**3 + 7/5*i**6 - 5/63*i**7 - 107/15*i**5 + 0 + 14/3*i**4. Determine s so that g(s) = 0.
-2/5, 0, 1, 6
Suppose 309*w - 312*w + 1560 = 0. Let s be ((-2)/3)/(7 - w/72). Factor 1/6*y**s + 1/6*y**5 + 1/2*y**4 - 1/3*y - 1/2*y**2 + 0.
y*(y - 1)*(y + 1)**2*(y + 2)/6
Let l(a) = a. Let d be l(12). Let h(m) = 2*m + 55. Let t be h(-25). Factor t*s**5 - 10 - 10*s**2 + 0*s**5 - 25*s - 10*s**3 + 20*s**4 + d*s**3 + 18*s**3.
5*(s - 1)*(s + 1)**3*(s + 2)
Let x(z) be the first derivative of -2*z**3/57 + 164*z**2/19 - 326*z/19 + 1339. Factor x(b).
-2*(b - 163)*(b - 1)/19
Let a(k) = 2*k**2 + 4312*k - 8630. Let r be a(2). Determine z so that -2*z - 2/5*z**4 - 14/5*z**3 - 22/5*z**r + 0 = 0.
-5, -1, 0
Let o = 294957 - 2064669/7. Suppose 0 - 3/7*i**5 - 3*i + o*i**4 + 66/7*i**2 - 72/7*i**3 = 0. Calculate i.
0, 1, 7
Let n(l) = 3*l**3 + 37*l**2 + 54*l - 5. Let v(h) = -10*h**3 - 108*h**2 - 162*h + 16. Let a(x) = 16*n(x) + 5*v(x). Factor a(d).
-2*d*(d - 27)*(d + 1)
Let g(x) be the second derivative of 25*x**4/4 + 385*x**3/6 + 25*x**2 + 1292*x. Factor g(k).
5*(k + 5)*(15*k + 2)
Let o(a) be the third derivative of 7*a**7/75 - 3409*a**6/150 + 241033*a**5/150 - 22402*a**4/5 + 25392*a**3/5 + 2*a**2 - 235*a + 2. Factor o(t).
2*(t - 69)**2*(7*t - 4)**2/5
Suppose 29*z - 25*z - 24 = -5*s, 4*z = s. Let c(i) be the second derivative of 0 + 7/45*i**3 - 1/90*i**s - 10*i - 4/5*i**2. Factor c(g).
-2*(g - 4)*(g - 3)/15
Let k(a) be the second derivative of -5/49*a**7 - a + 9/70*a**5 + 4/105*a**6 + 3 + 1/21*a**4 + 0*a**2 + 0*a**3. Determine o, given that k(o) = 0.
-2/5, -1/3, 0, 1
Let j(g) = 3*g**3 - 3*g. Let s(h) be the first derivative of -h**4/4 + h**2/2 + 15. Let c(d) = 4*j(d) + 14*s(d). Factor c(y).
-2*y*(y - 1)*(y + 1)
Let 1/8*y**5 + 11/4 - y**4 - 7/4*y**2 - 4*y**3 + 31/8*y = 0. What is y?
-2, -1, 1, 11
Let d(l) = 14*l**3 - 134*l**2 + 122*l + 290. Let w(o) = 6*o**3 - 68*o**2 + 62*o + 144. Let i(j) = 2*d(j) - 5*w(j). Factor i(a).
-2*(a - 35)*(a - 2)*(a + 1)
Let a(i) be the first derivative of 3*i**6/10 + 38*i**5/25 - 29*i**4/4 - 50*i**3/3 + 138*i**2/5 + 72*i/5 + 1289. Determine l so that a(l) = 0.
-6, -2, -2/9, 1, 3
Suppose -3*v = 6, -5 = -3*c + 30*v - 32*v. Let t = -2 - -5. Factor -2*k - k**3 + k + c*k - k**t.
-2*k*(k - 1)*(k + 1)
Let a(v) be the first derivative of -3*v**5 - 235*v**4 + 1300*v**3/3 + 640*v**2 + 4872. Suppose a(s) = 0. Calculate s.
-64, -2/3, 0, 2
Let k be (((