 b.
0, 146
Suppose -12*o = 14 + 10. Let b be (7 + (-195)/30)*o/(-4). Determine i so that 0 - 1/4*i**3 + 0*i - 3/2*i**2 + b*i**5 + 3/2*i**4 = 0.
-6, -1, 0, 1
Let q(l) = 53*l**2 + 107*l + 596. Let n(w) = 860*w**2 + 1710*w + 9535. Let d(p) = -4*n(p) + 65*q(p). Factor d(z).
5*(z + 8)*(z + 15)
Let k = -1689 + 1691. Let n(q) be the first derivative of 10*q**k + 16/3*q**3 + 8*q - 1 + q**4. Factor n(o).
4*(o + 1)**2*(o + 2)
Suppose 221 = -2*l + 9. Let f = l - -108. Suppose -4*t**2 + 5*t**2 - 2*t**2 + 8*t - 4*t**3 + 5*t**f = 0. Calculate t.
-1, 0, 2
Let j(p) = -22*p**2 - 910*p - 923. Let b(c) = -18*c**2 - 912*c - 922. Let n(q) = -5*b(q) + 4*j(q). Factor n(d).
2*(d + 1)*(d + 459)
Let t = 13903 - 41705/3. Let k be (2 - -1)/(-3) + 3. Factor -20/3*x - t*x**k - 8.
-4*(x + 2)*(x + 3)/3
Let t(o) be the third derivative of -o**5/450 - 43*o**4/60 + 3547*o**2. Find c such that t(c) = 0.
-129, 0
What is i in -36*i**4 + 1992*i - 3316*i**2 + 517*i**3 - 107 - 213 + 155*i**3 = 0?
1/3, 8, 10
Let u = -1369/34 - -9685/238. Find b, given that -3/7*b**2 + 3/7*b**5 + 0 + 0*b + u*b**4 - 3/7*b**3 = 0.
-1, 0, 1
Let g = -1171 + 1171. Let z(y) be the third derivative of 1/945*y**7 - 22*y**2 + 1/54*y**4 + 0*y**6 - 1/90*y**5 + 0*y**3 + 0 + g*y. Suppose z(j) = 0. What is j?
-2, 0, 1
Suppose 0 = -5633*o + 5647*o - 28. Suppose 0 + 2/9*m**o + 2/3*m = 0. What is m?
-3, 0
What is p in 2/11*p**3 + 326/11*p - 332/11*p**2 + 60 = 0?
-1, 2, 165
Let k(s) = -7*s**2 + 128*s - 3044. Let x(m) = m**2 - 26*m + 608. Let w(v) = 2*k(v) + 11*x(v). Factor w(d).
-3*(d - 10)*(d + 20)
Let u(x) = 66*x**3 + 20*x**2 - 56*x + 54. Let z(r) = 14*r**3 + 4*r**2 - 11*r + 11. Suppose -w + 613 = 585. Let n(p) = w*z(p) - 6*u(p). Factor n(c).
-4*(c - 1)**2*(c + 4)
Let l(y) = 166*y**2 - 502*y + 47. Let p(a) = -165*a**2 + 501*a - 48. Let v(h) = 6*l(h) + 7*p(h). Factor v(i).
-3*(i - 3)*(53*i - 6)
Let x(u) be the third derivative of u**7/1470 - 23*u**6/280 + 67*u**5/140 - 199*u**4/168 + 11*u**3/7 + 2*u**2 - 156. Determine g, given that x(g) = 0.
1, 66
Let o(u) be the second derivative of 35*u**7/24 - 7*u**6/12 + u**5/10 - 11*u**4/6 - 7*u. Let r(n) be the third derivative of o(n). Determine g so that r(g) = 0.
2/35
Let x = 123313 + -369937/3. Factor -10*b**2 + x*b**4 + 0*b - 4/3*b**3 + 0.
2*b**2*(b - 5)*(b + 3)/3
Let v be 8*(-52)/(-6864)*33. Find l, given that 119/2*l**3 - 22*l + 109*l**v - 4 = 0.
-2, -2/17, 2/7
Let i be (3/((-18)/5))/(21 + 640/(-30)). Let d(k) be the second derivative of 0 - i*k**3 + 30*k + 55/12*k**4 + k**5 + 0*k**2. Determine t, given that d(t) = 0.
-3, 0, 1/4
Let i be 209090/56*(3/10)/3. Let j = i - 373. Solve -3/4*q + j*q**4 - 3/8*q**2 + 3/4*q**3 + 0 = 0.
-2, -1, 0, 1
Let p(b) be the first derivative of -2*b**3/15 + 268*b**2/5 - 534*b/5 - 1198. Factor p(a).
-2*(a - 267)*(a - 1)/5
Let m(g) = g + 16. Let q = -6 + -1. Let k be m(q). Factor -k*i - 2 + 26*i + 4*i**2 - 14*i + 1.
(i + 1)*(4*i - 1)
Let w be 866/90 + -9 + 4/(-10). Suppose -3*h + 8 = -2*q, q - h = -2 - 0. Suppose w*n**q - 8/3 + 22/9*n = 0. What is n?
-12, 1
Suppose 27/4*s + 1/8*s**2 + 729/8 = 0. Calculate s.
-27
Let i(h) be the first derivative of -19/9*h**2 + 2/27*h**3 + 0*h + 62. Factor i(b).
2*b*(b - 19)/9
Let m(k) be the first derivative of k**6/3 - 98*k**5/5 + 257*k**4/2 + 98*k**3/3 - 258*k**2 + 11810. Suppose m(h) = 0. What is h?
-1, 0, 1, 6, 43
Let v = -238 + 246. Factor -2972 - 23*n**3 + v*n + 5*n**4 + 2972 + 10*n**2.
n*(n - 4)*(n - 1)*(5*n + 2)
Let p = -779017/2 + 389516. Determine v so that -5 + 3/2*v + v**4 + p*v**3 + 13*v**2 = 0.
-5, -2, -1, 1/2
Let o = 465 + -577. Let s = o - -899/8. Solve -3/4 + 3/8*b + s*b**2 = 0.
-2, 1
Suppose q = 5*q - 2*i - 8, 0 = -5*i + 10. Determine n so that 62*n + 32*n + 3*n**2 + 2*n**3 + 6*n + 2*n**q - 43*n**2 = 0.
0, 5
Let c(z) = 59*z**3 + 2*z - 1. Let t be c(1). Let s = 61 + -56. Let 7*o**5 - 60*o**2 + 11*o**s - 20*o - 5*o**3 + 7*o**5 + t*o**4 = 0. What is o?
-2, -1, -2/5, 0, 1
Factor -132/7*d**3 + 0*d + 78/7*d**4 - 48/7*d**2 + 0.
6*d**2*(d - 2)*(13*d + 4)/7
Let v(p) = -p**5 - 18*p**4 + p**3 - p + 1. Let u(j) = 10*j**5 + 173*j**4 + 43*j**3 - 2*j**2 - 42*j + 16. Let y(w) = 2*u(w) + 22*v(w). Factor y(x).
-2*(x - 1)**3*(x + 1)*(x + 27)
Let w = 68 - 46. Suppose 4*u = 2*q + 28, 0 = 2*u - 0*u - 5*q - w. Let -u + 9*a + 3*a**2 + 3*a**4 + 0*a + 0*a**4 - 9*a**3 = 0. What is a?
-1, 1, 2
Let d(h) be the first derivative of -9 + 0*h**2 + 0*h**4 + 0*h - 1/72*h**6 - h**3 - 1/6*h**5. Let g(f) be the third derivative of d(f). Factor g(a).
-5*a*(a + 4)
Let r(i) be the third derivative of -1/180*i**5 + 0 - i - 968/9*i**3 - 11/9*i**4 - 50*i**2. Find q such that r(q) = 0.
-44
Suppose -x + 2 = -2*y - 3*x, -25 = -5*y + 5*x. Factor 116*f**3 + 381 - 60*f**2 + y*f**5 - 52*f**4 - 381 - 6*f**5.
-4*f**2*(f - 1)**2*(f + 15)
Factor 4131/5 - 999/5*t - 1/5*t**3 + 69/5*t**2.
-(t - 51)*(t - 9)**2/5
Let j(h) be the first derivative of h**3/3 + 18*h**2 + 158*h + 41. Let o be j(-5). Solve 9*t + 1/3*t**o - 3*t**2 - 9 = 0 for t.
3
Let t(f) be the first derivative of -8/3*f**3 - 7 + 4/3*f**4 + 0*f**2 - 1/5*f**5 - 16*f. Let j(n) be the first derivative of t(n). Factor j(y).
-4*y*(y - 2)**2
Let l = -516856 + 516858. Solve -6/7 - 4/21*p**5 - 50/21*p**4 - 172/21*p**l - 48/7*p**3 - 92/21*p = 0.
-9, -1, -1/2
Let m = -3690/13 - -62756/221. Find o, given that -m*o**2 + 0 - 16/17*o = 0.
-8, 0
Let w(y) be the second derivative of y**4/3 + 68*y**3/3 - 304*y**2 - 5*y - 165. Suppose w(c) = 0. What is c?
-38, 4
Solve -1515 - 45*r**3 - 3*r**4 + 1249 + 81*r**2 + 0*r**4 - 1912 + 2145*r = 0.
-11, 1, 6
Determine y, given that 77618/7 + 2/7*y**2 - 788/7*y = 0.
197
Find o, given that 79428*o**2 + 205713*o + 9*o**5 + 26280 - 5996*o**3 + 498*o**4 + 15794*o**3 - 201726 = 0.
-19, -9, 2/3
Suppose -8*i + 8 = -12*i. Let f be i/(-28) + 78/(-1092). Factor 1/5*l**2 - 3/5*l + f.
l*(l - 3)/5
Factor 514/3*x + 2/3*x**2 - 172.
2*(x - 1)*(x + 258)/3
Let l(b) be the third derivative of 7/312*b**8 + 4/13*b**7 + 55/39*b**4 + 173/156*b**6 + 22*b**2 + 2*b + 8/13*b**3 + 0 + 23/13*b**5. Solve l(z) = 0 for z.
-6, -1, -2/7
Factor -5000/13 - 2/13*u**2 - 200/13*u.
-2*(u + 50)**2/13
Factor -47*x - 21*x - 180*x**2 - 32*x - 78 - 267 + 185*x**2.
5*(x - 23)*(x + 3)
Let h be (12 - 14)*(-258)/2. Suppose 0 = h*l - 262*l. Factor l + 0*k + 4/13*k**2 - 2/13*k**3.
-2*k**2*(k - 2)/13
Suppose -7*m = 9*m + 8*m - 26*m. Find d such that 1/4*d**4 + 0 - d**3 + 3/4*d**2 + m*d = 0.
0, 1, 3
What is c in -31/6*c**2 - 1/3*c**3 - 28/3 - 127/6*c = 0?
-8, -7, -1/2
Determine j, given that 30*j**4 - 4496*j**5 + 13*j**4 + 4491*j**5 + 12*j**4 - 50*j**3 = 0.
0, 1, 10
Let u = -341 + 341. Suppose 20 = -2*s + 5*n - 0*n, s + 4*n - 16 = u. Factor s + 0*h**2 + 1/4*h**4 + 1/4*h**3 + 0*h.
h**3*(h + 1)/4
Suppose -8*s - q = -3*s - 25, -5*s = 2*q - 20. Suppose 6 = 9*i - s*i. Factor -12*k**i - 17*k**2 + 4*k + 30*k**2 + 3.
(k + 1)*(k + 3)
Let 21*f**2 + 3/4*f**3 + 0 + 225/4*f = 0. Calculate f.
-25, -3, 0
Let h(n) be the third derivative of -n**6/360 - 2*n**5/15 - 17*n**4/18 + 40*n**3/3 - 722*n**2. Factor h(l).
-(l - 2)*(l + 6)*(l + 20)/3
Find t, given that 3240 - 2325*t**2 - 2320*t - 6*t**3 - 1611 + t**3 - 1629 = 0.
-464, -1, 0
Factor -57/5*j - 546/5 + 3/5*j**2.
3*(j - 26)*(j + 7)/5
Let o(q) be the first derivative of 3*q**4/4 - 22*q**3 + 315*q**2/2 - 854. Determine u, given that o(u) = 0.
0, 7, 15
Let q(a) be the second derivative of -6*a - 7/33*a**3 - 2/11*a**2 - 1/33*a**4 + 3/110*a**5 + 0. Solve q(w) = 0.
-1, -1/3, 2
Let f = -4/3933 - -19693/27531. Let d(o) be the first derivative of f*o**2 + 8/21*o**3 + 1/14*o**4 - 31 + 4/7*o. Factor d(i).
2*(i + 1)**2*(i + 2)/7
Suppose 5*j - m - 12 = 0, -9*j + 18 = -4*j - 4*m. Factor l**2 - 3*l**3 + 367*l**4 - 370*l**4 + l**5 + 2*l**5 + j*l**2.
3*l**2*(l - 1)**2*(l + 1)
Let u = -427850 + 3000770/7. Let b = -831 + u. Factor -b*t**2 + 9/7*t + 12/7.
-3*(t - 4)*(t + 1)/7
Let m(i) be the first derivative of -i**2/2 + 10*i + 2. Let k be m(7). Factor 3*q**2 - q**2 + k*q - 4*q - q.
2*q*(q - 1)
Factor -102*a**2 + 11/2*a**4 + 31/2*a**3 + 18*a + 0.
a*(a - 3)*(a + 6)*(11*a - 2)/2
Let r(l) be the third derivative of 512*l**5/225 - 16*l**4/45 + l**3/45 - 3319*l**2. Let r(u) = 0. What is u?
1/32
Suppose -16*l - 799 + 95 = 0. Let i = -41 - l. Factor 0*v - 2/9*v**5 + 2/9*v**4 + 2/9*v**i + 0 - 2/9*v**2.
-2*v**