/3 + 32*o + 1. Let s(v) be the third derivative of z(v). Determine m, given that s(m) = 0.
0, 2/5
Suppose 3*v + f = 449, -5*f = 4*v - 542 - 64. Factor 5*o + v*o**2 + 8 + 7*o - 149*o**2 - 4*o**3.
-4*(o - 2)*(o + 1)**2
Factor -440 - 36*i**3 + 94*i**3 - 31*i**3 + 230*i - 18*i**2 + 233*i**2 - 32*i**3.
-5*(i - 44)*(i - 1)*(i + 2)
Let q(f) = -3*f + 76. Let t be q(24). Suppose t*g = 97 - 13. Factor 65 + g*z**2 - 9*z**2 + 265*z + 8*z**2.
5*(z + 13)*(4*z + 1)
Let w = -2552/9 + 284. Let b = -331405/9 - -36823. Suppose 0*a + 2/9*a**3 + w*a**4 + 0 - 4/9*a**2 - b*a**5 = 0. What is a?
-1, 0, 1, 2
Suppose 24751*t - 24736*t - 66 = 9. Determine b, given that 3/2*b**2 - 3/2*b**3 + 3/2*b**t + 0*b - 3/2*b**4 + 0 = 0.
-1, 0, 1
Let n(t) be the second derivative of -t**5/10 - t**4/4 - t**3/6 - 22*t. Let j be n(-2). Let -35*r + r**2 + 2*r + 20*r**2 + 6*r + j = 0. What is r?
2/7, 1
What is m in 158*m + 188/3 + 10/3*m**2 = 0?
-47, -2/5
Determine r so that 118*r - 108 + 16748*r**2 - 51*r**3 - 16655*r**2 - 22*r - 33*r**4 + 6*r**3 + r**5 - 4*r**5 = 0.
-9, -2, 1
Suppose 108 - 268 = -r. Let s be ((-10)/(-3))/(r/15 - 8). Find j, given that -5/4*j**2 + 0 + 5/4*j**4 + 5/2*j - 15/4*j**3 + s*j**5 = 0.
-2, -1, 0, 1
Let a = 11525/6144 - 5/6144. Let r be 5*(9/15 - 0). Suppose 3/8*h**r + 9/8*h + a*h**2 - 27/8 = 0. What is h?
-3, 1
Let x be -70 + -8 + 6*1/3. Let g be (((-19)/x)/(2/16))/2. Factor 19/2*l + 8*l**4 + g + 57/2*l**2 + 28*l**3.
(l + 1)*(l + 2)*(4*l + 1)**2/2
Factor -1/2*h**2 - 343/3*h - 76.
-(h + 228)*(3*h + 2)/6
Suppose -2*j + 5*t + 237 = 0, 5*j - 3*t + 0*t = 583. Factor 257*o**3 - 126*o**3 - j*o**3 - 6*o**2 - 9*o**4.
-3*o**2*(o - 1)*(3*o - 2)
Let m be (7 + (2 - 8))*(8 - 1). Suppose 30*z = m*z + 46. Let 0 + 4/21*u**z - 2/21*u = 0. What is u?
0, 1/2
Let q(y) = 19*y - 109. Let h be q(6). Solve 73*x**3 - 2*x - 48*x**3 + 2*x + h*x**4 = 0.
-5, 0
Let z(t) be the second derivative of -t**5/60 + 325*t**4/2 - 633750*t**3 + 1235812500*t**2 - 7117*t. Determine d, given that z(d) = 0.
1950
Let c(s) be the second derivative of -s**5/40 + 55*s**4/12 - 832*s**3/3 + 4056*s**2 - 1845*s. Find w such that c(w) = 0.
6, 52
Factor -198421*d**3 - 63*d**2 + 488*d**2 + 135*d - 50 + 198331*d**3.
-5*(d - 5)*(2*d + 1)*(9*d - 2)
Let f = -136495 - -409486/3. Determine i so that -i**2 - 1/3*i**3 + f*i + 1 = 0.
-3, -1, 1
Let v = 207058/3 - 69017. Factor 0 - v*b**2 + 1/3*b**3 + 0*b.
b**2*(b - 7)/3
Let f(w) be the second derivative of -w**6/30 + 103*w**5/20 + 26*w**4/3 + 3*w - 316. Factor f(p).
-p**2*(p - 104)*(p + 1)
Let o(g) = 2*g**3 - 348*g**2 - 283*g - 11725. Let a be o(175). Factor 14*t + 2/3*t**3 + 20/3*t**2 + a.
2*t*(t + 3)*(t + 7)/3
Factor 138/7 - 67/7*w - 1/7*w**2.
-(w - 2)*(w + 69)/7
Let q(d) be the third derivative of -d**7/420 + 337*d**6/720 - 109*d**5/360 - 337*d**4/144 + 28*d**3/9 - 1167*d**2. Let q(z) = 0. What is z?
-1, 1/3, 1, 112
Factor 294/5*k - 1144/5 - 2/5*k**2.
-2*(k - 143)*(k - 4)/5
Let o = -6065/6 + 13/6. Let w = o + 1009. Factor -w*i**4 + 0 + 0*i**2 + 1/3*i**3 + 0*i.
-i**3*(i - 1)/3
Suppose -1589*h = -1543*h - 184. Let u(z) be the first derivative of -41 + h*z**2 - 6*z - 2/3*z**3. Let u(x) = 0. What is x?
1, 3
Factor 14*k + 2*k**2 + 3*k**2 - 174 + 73277*k**3 - 124*k - 73272*k**3 - 26.
5*(k - 5)*(k + 2)*(k + 4)
Let s(f) be the first derivative of 0*f**3 + 0*f - 85 + 1/4*f**6 + 3/4*f**4 - 9/10*f**5 + 0*f**2. Find n, given that s(n) = 0.
0, 1, 2
Let r(y) be the first derivative of y**3/7 - 150*y**2/7 + 1425*y/7 + 7834. What is h in r(h) = 0?
5, 95
Let j(s) be the second derivative of 33*s**6/2 + 53*s**5/2 - 175*s**4/4 - 110*s**3 - 50*s**2 + 2*s + 2899. Find v, given that j(v) = 0.
-1, -2/11, 10/9
Let g(n) be the second derivative of n**6/150 + 17*n**5/100 - 29*n**4/30 + 4*n**3/3 - 3*n + 183. Suppose g(z) = 0. Calculate z.
-20, 0, 1, 2
Let y(z) be the second derivative of -z**8/252 + 4*z**7/315 + 2*z**6/135 + 15*z**3/2 - z + 3. Let r(u) be the second derivative of y(u). Factor r(k).
-4*k**2*(k - 2)*(5*k + 2)/3
Suppose 0 = -5*m - 6*m + 726. Suppose -5*n + 38*n = m. Find u, given that 0 - 4/3*u**n + 4/3*u = 0.
0, 1
Let o be 0*((-7)/(-5) + (-180)/75). Let j(a) be the second derivative of 0 + 3/80*a**5 + 0*a**2 + o*a**3 - 21*a + 3/8*a**4. Find g such that j(g) = 0.
-6, 0
Let p(q) be the second derivative of -q**5/5 - 106*q**4/3 - 418*q**3/3 - 208*q**2 - 2735*q. Factor p(c).
-4*(c + 1)**2*(c + 104)
Let b be ((-26)/2)/(7/(-56)). Let l = -94 + b. Solve 6 - 6*y - 1 + y + 10*y**2 - l*y = 0.
1/2, 1
Let x(z) be the third derivative of -3*z**5/20 + 17*z**4/48 + z**3/12 - 2*z**2 - 690*z - 1. Solve x(u) = 0.
-1/18, 1
Let y be (((-126)/12)/3)/((-3)/(-12018)). Let p = y + 126973/9. Factor -112/9*j - 4/9*j**2 - p.
-4*(j + 14)**2/9
Let y(l) be the second derivative of -l**4/6 - 7*l**3 - 68*l**2 + 499*l - 1. Let y(c) = 0. Calculate c.
-17, -4
Suppose -692 - 742 = -6*q. Determine o so that q*o**2 + 4*o**4 - 17*o**2 + 300*o**2 - 141*o**3 - 27*o**3 + 1242*o**2 = 0.
0, 21
Let z(v) be the first derivative of 5*v**6/6 + 23*v**5 + 285*v**4/2 + 1070*v**3/3 + 865*v**2/2 + 255*v - 3762. Factor z(k).
5*(k + 1)**3*(k + 3)*(k + 17)
Let z = 37 - 33. Let k(o) = -o + 12. Let t be k(z). Determine h so that -2 + t - 3*h - h**2 + 2*h = 0.
-3, 2
Let h(n) be the second derivative of 7*n**3 + 34*n + 36*n**2 + 1 + 1/4*n**4. Solve h(d) = 0 for d.
-12, -2
Let z be ((-9)/6)/(24/32) + 4. Suppose -2 - 10 + 3*r**z + 12 + 24*r = 0. What is r?
-8, 0
Let g(i) be the second derivative of -i**4/6 + 7*i**3/3 - 467*i. Let g(k) = 0. What is k?
0, 7
Let p(k) = -k**2 + 4*k - 4. Let h be p(2). Let -796*g**2 + 200*g + 10*g**5 + h*g**5 + 128 + 2*g**5 + 196*g**4 + 28*g**3 + 232*g**2 = 0. Calculate g.
-16, -2, -1/3, 1
Suppose 7*j - 25 = 2*j, 0 = -k + 2*j + 372. Factor 63*d - k*d**2 - 21*d - 242*d + 25*d**3 - 108*d**2.
5*d*(d - 20)*(5*d + 2)
Let v(x) be the third derivative of -1/24*x**6 - 86*x**2 + 15/8*x**4 - 1/2*x**5 + 0*x + 0 + 35/3*x**3. Factor v(l).
-5*(l - 2)*(l + 1)*(l + 7)
Suppose -18*p = -13*p - 20. Suppose 0 = -11*i + 9*i + p. Solve i*h**3 - h + h = 0 for h.
0
Let i(n) be the first derivative of 4/5*n + 9 + 28/15*n**3 - 16/5*n**2. Factor i(o).
4*(o - 1)*(7*o - 1)/5
Solve 18/5*c**5 + 1334/5*c**3 - 1058/5*c**2 + 0 - 294/5*c**4 + 0*c = 0.
0, 1, 23/3
Suppose -17*v = -38*v + 1302. Find o, given that -34*o**3 - 136*o - 29 - 3 + v*o**3 - 76*o**2 = 0.
-1, -2/7, 4
Let z(v) = 11*v**3 - v**2 - 4*v - 1. Let u be z(4). Let o = 1756 - u. Find y such that -3*y**3 + 1085*y - o*y - 3*y**4 + 6*y**2 = 0.
-2, 0, 1
Let s = 1374802/9 + -2749553/18. Factor 0 + 0*b + s*b**3 + 3*b**2 - 1/6*b**4.
-b**2*(b - 18)*(b + 1)/6
Let y(k) = k**3 + 13*k**2 + 24*k + 146. Let i be y(-12). Factor -4*c**3 + 3*c**4 + 32 + c**4 - 1912*c + 1928*c + 0*c**4 - 24*c**i.
4*(c - 2)**2*(c + 1)*(c + 2)
Let n = -1094638 - -1094643. Find o, given that -288/7 - 46/7*o**4 + 334/7*o**2 + 240/7*o - 2/7*o**n - 34*o**3 = 0.
-12, -1, 1
Suppose -126*h = -136*h - 560. Let z be -3 + (-552)/h - 6. Find d such that 8/7*d + 0 - 1/7*d**5 - z*d**3 + 5/7*d**4 - 4/7*d**2 = 0.
-1, 0, 2
Determine p so that -10/7*p**2 + 3376/7 - 8436/7*p = 0.
-844, 2/5
Let q(b) be the third derivative of 2/1155*b**7 + 0*b + 1/132*b**4 - 2 + 4*b**2 - 1/1848*b**8 - 1/165*b**5 + 0*b**6 + 0*b**3. Determine i so that q(i) = 0.
-1, 0, 1
Let i(k) = 6*k**3 - 1076*k**2 - 2062*k - 1024. Let g(r) = 8*r**3 - 1087*r**2 - 2063*r - 1023. Let j(y) = -4*g(y) + 5*i(y). Factor j(u).
-2*(u + 1)**2*(u + 514)
Solve 6916602*y + 1290 - 2*y**2 - 6915963*y - y**2 = 0 for y.
-2, 215
What is s in -5/4*s**2 - 245/2*s + 495/4 = 0?
-99, 1
Let n(o) be the first derivative of -o**3/8 + 417*o**2/16 + 270*o + 1482. Find h, given that n(h) = 0.
-5, 144
Let m(b) = 13*b**3 - 2328*b**2 + 2917*b - 582. Let n(z) = -7*z**3 + 1163*z**2 - 1459*z + 291. Let v(s) = -3*m(s) - 5*n(s). Solve v(t) = 0.
1/4, 1, 291
Let x(l) be the first derivative of -3*l**5/25 - 15*l**4 - 2398*l**3/5 + 1530*l**2 - 7803*l/5 + 120. Factor x(o).
-3*(o - 1)**2*(o + 51)**2/5
Let r(h) be the third derivative of h**7/70 - 37*h**6/40 - 8*h**5 - 41*h**4/2 - 1681*h**2. Factor r(j).
3*j*(j - 41)*(j + 2)**2
Let b = 1128 - 1128. Let v(p) be the second derivative of -5/102*p**4 + 3/17*p**2 - 4/51*p**3 - p + 1/85*p**5 + b. Find l, given that v(l) = 0.
-1, 1/2, 3
Let p be (-30)/(-24)*(-36 - 0). Let v =