ermine o so that -14660/3 - 3685/3*o**2 - 14680/3*o - 5/3*o**3 = 0.
-733, -2
Let w(k) be the third derivative of -2*k**6/9 + 134*k**5/9 - 7015*k**4/24 - 2645*k**3/2 - 821*k**2. Suppose w(n) = 0. What is n?
-1, 69/4
Suppose 5*a - 2*g - 23 = 0, -2*g - 2 = 10*a - 8*a. Suppose -5*j - v + 35 = 13, -a*j = -2*v - 8. Determine u, given that 13/6*u**3 - j*u**2 + 3/2*u + 1/3 = 0.
-2/13, 1
Let n be -4 + (3*4/3 - (9 + (-4428)/100)). Factor 2/25*d**2 + n - 84/25*d.
2*(d - 21)**2/25
Let -7*o**4 - 21*o**2 + 768 - 849831*o**3 + 849675*o**3 - 3*o**4 - 187*o**2 + 2*o**5 + 704*o = 0. What is o?
-4, -1, 2, 12
Let g = -35 + 35. Suppose 0 = -4*o + 12 - g. Factor -12 + 0*i**2 - 5 - 7 - o*i**2 - 27*i.
-3*(i + 1)*(i + 8)
Let r be (4 - 1)/(4 + -3). Find p such that -45*p**4 + 41*p**4 - 320*p + 13*p**2 + 300 + 18*p**2 - 39*p**2 + 32*p**r = 0.
-3, 1, 5
Let i be -9 - (-6 - -11 - 44). Factor 5*d**2 - i*d - 2*d**2 - 18*d + 27*d.
3*d*(d - 7)
Find g, given that 1004/7*g**2 + 126002/7*g + 0 + 2/7*g**3 = 0.
-251, 0
What is v in -50*v**2 + 97*v - 5*v**3 - 177*v - 25*v = 0?
-7, -3, 0
Let b(a) be the third derivative of a**6/480 - a**5/24 - 43*a**4/96 + 13*a**3/6 + 63*a**2 - 2. Find r, given that b(r) = 0.
-4, 1, 13
Find d such that -1621*d**3 - 20*d**4 - 4*d**5 + 1441*d**3 - 86*d**2 - 2*d**2 - 76*d**4 = 0.
-22, -1, 0
Let v(g) be the first derivative of 7/3*g**3 - 2*g + 3/8*g**4 + 101 + 7/4*g**2. What is s in v(s) = 0?
-4, -1, 1/3
Let p(x) = -x**3 + 99*x**2 - 13*x - 8325. Let n be p(98). Let 0*u + 17/5*u**3 + 0 + 1/5*u**n - 2*u**2 - 8/5*u**4 = 0. Calculate u.
0, 1, 2, 5
Let f = -179 + 206. Let l be ((-2)/14)/(f/(-63)). Factor -2/3 - l*z + 1/3*z**2.
(z - 2)*(z + 1)/3
Let i(f) be the second derivative of -45/4*f**3 - 1 - 45/2*f**2 + 11*f - 5/6*f**4. What is l in i(l) = 0?
-6, -3/4
Suppose -17 = -r - 2*v - v, -5*v = 3*r - 31. Let q(s) = s**2 + 22*s - 23. Let k be q(-23). Factor -8/15*p + k + 2/15*p**3 + 2/5*p**r.
2*p*(p - 1)*(p + 4)/15
Let d(a) = 2*a - 26. Let h be d(15). Suppose 2*c + 10 = 0, -h*t + 129 + 11 = -4*c. Solve -60 + t + 2*l**2 - l**3 + 30 = 0.
0, 2
Let v be (0 - 1)*6/(-3). Let s be (8 + -11)*14/(-35). Factor 3/5*d - s + 3/5*d**v.
3*(d - 1)*(d + 2)/5
Let o(n) be the second derivative of 1/126*n**4 - 4/3*n**3 - 10 + 84*n**2 + 4*n. Factor o(x).
2*(x - 42)**2/21
Find y, given that 10880*y**2 + y + 10876*y**2 + 2*y - 21658*y**2 = 0.
-3/98, 0
Let x(v) be the second derivative of -11*v**7 + 243*v**6/10 - 9*v**5/2 - 53*v**4/4 - 3*v**3 - 4543*v. Determine u, given that x(u) = 0.
-2/7, -3/22, 0, 1
Let h be ((-1)/6)/(15/(-300)). Suppose -11*r + 8*r - 4*f + 24 = 0, -r - 5*f + 30 = 0. Factor r + h*j**3 + 0*j + 2/3*j**4 + 8/3*j**2.
2*j**2*(j + 1)*(j + 4)/3
Let b(o) be the second derivative of -o**6/45 - 8*o**5/15 - 43*o**4/18 + 20*o**3/3 - o + 15. Solve b(q) = 0 for q.
-12, -5, 0, 1
Factor -3*y**2 + 3*y**2 + y**2 + 40*y - 28*y.
y*(y + 12)
Suppose 4*q - 5*i = 76, -5*q - 5*i + 4*i = -95. Let t = 20 - q. Factor -16*u**2 + 5*u - 6*u - 7*u - t.
-(4*u + 1)**2
Let b(z) = z**3 + 0*z**2 - 695*z + 4*z**2 - 710*z - 120 + 1376*z + 0*z**3. Let g be b(-5). Factor 1/3*y**4 + 2/3*y + g + 13/6*y**2 + 11/6*y**3.
y*(y + 1)*(y + 4)*(2*y + 1)/6
Factor -21*l**2 + 25*l**2 + 3066*l + 287*l + 633616 - 169*l.
4*(l + 398)**2
Let z = 9782 - 78131/8. Let x(n) be the first derivative of 23 + 15/2*n + 5*n**3 - 35/16*n**4 + z*n**2. Let x(i) = 0. Calculate i.
-1, -2/7, 3
Let j(w) be the first derivative of -w**6/15 + 9*w**5/20 - 7*w**4/6 + 3*w**3/2 - w**2 + 82*w + 15. Let g(x) be the first derivative of j(x). Factor g(n).
-(n - 2)*(n - 1)**2*(2*n - 1)
Let t(y) be the second derivative of y**6/30 - 3*y**4 + 2030*y. Factor t(c).
c**2*(c - 6)*(c + 6)
Let n(z) be the third derivative of -z**7/1470 - 29*z**6/420 + 59*z**5/420 - 2*z**2 + 608*z - 3. Factor n(x).
-x**2*(x - 1)*(x + 59)/7
Factor 14/9*f**2 + 11428/9*f + 1088/3.
2*(f + 816)*(7*f + 2)/9
Let b(a) be the third derivative of -a**5/300 - 2*a**4/5 + 104*a**3/15 + 1610*a**2. Find y such that b(y) = 0.
-52, 4
Let h(d) = -596*d - 39332. Let u be h(-66). Factor -6*k**3 + 18 + 6*k - 1/2*k**u - 35/2*k**2.
-(k - 1)*(k + 1)*(k + 6)**2/2
Let o(c) be the third derivative of c**5/160 + 175*c**4/8 + 30625*c**3 + 2240*c**2. Factor o(f).
3*(f + 700)**2/8
Factor -2900/3*l**3 + 4/3*l**4 + 527072/3*l**2 + 0 - 524176/3*l.
4*l*(l - 362)**2*(l - 1)/3
Let i(g) be the first derivative of -1/30*g**5 + 1/9*g**3 - 1/6*g - 5/12*g**4 + 5/36*g**6 + 120 + 5/12*g**2. Determine u, given that i(u) = 0.
-1, 1/5, 1
Let h be (-91)/78*13/(-91). Let s(n) be the first derivative of 0*n + 18 - 1/4*n**2 - h*n**3. Find l such that s(l) = 0.
-1, 0
Let c(y) be the third derivative of -y**7/1785 - y**6/1020 + 26*y**5/255 + 37*y**4/51 + 32*y**3/17 + 3704*y**2. Solve c(q) = 0 for q.
-6, -2, -1, 8
Let -201/2*r - 1/2*r**2 + 101 = 0. What is r?
-202, 1
Let j(a) be the third derivative of 64/27*a**3 + 2/9*a**5 + 26/27*a**4 - 2*a**2 + 7/270*a**6 + 1/945*a**7 - 8*a + 0. Factor j(g).
2*(g + 2)**3*(g + 8)/9
Let u be -2 - ((-3388866)/60816)/(-13) - -6. Let v = -1/1448 - u. Solve 12/7*f - v + 2*f**2 = 0 for f.
-1, 1/7
Determine d so that -48 + 20*d + 22 - 56*d**2 + 26 + 24 + 12*d**5 - 37*d**3 + 32*d**4 + 5*d**3 = 0.
-3, -1, -2/3, 1
Let y(l) = -4*l**2 + 8*l - 3. Let o be y(1). Let n be 96/(-80)*o/8*-10. Solve -n*d**5 - 3/2*d**3 + 0 + 0*d + 3*d**4 + 0*d**2 = 0 for d.
0, 1
Let r(q) = 2*q + 27. Let n be r(-12). Suppose -n*k = -3, 25 = 4*i - 2*k + 3*k. Factor 2 + 5*x**3 + 10*x**2 + 4*x - i + 3*x**2.
(x + 1)*(x + 2)*(5*x - 2)
Suppose -5*q - 28 = -h, -125*h + 121*h = -3*q - 27. Let z(t) be the first derivative of -2/9*t**3 - 2*t**2 - 6*t - h. Factor z(s).
-2*(s + 3)**2/3
Let w be (-4)/((-36)/137) - 18*20/24. Factor -w*f**2 + 14/9*f - 4/3.
-2*(f - 6)*(f - 1)/9
Suppose -179*r = -414*r. Let g(x) be the first derivative of 0*x**2 + 0*x**3 - 1/20*x**4 - 17 + 1/25*x**5 + r*x. Determine q, given that g(q) = 0.
0, 1
Let l(u) be the first derivative of -4*u**3/3 + 1828*u**2 - 835396*u - 1132. Find t, given that l(t) = 0.
457
Determine j so that -j**5 - 1413/5*j**2 - 87/5*j**4 - 529/5*j**3 - 1566/5*j - 432/5 = 0.
-8, -3, -2/5
Let c(u) be the first derivative of -63*u**6/4 + 1041*u**5/10 - 813*u**4/4 + 106*u**3 - 18*u**2 - 4884. Find x, given that c(x) = 0.
0, 2/9, 2/7, 2, 3
Let i(n) be the second derivative of -n**4/42 + 50*n**3/21 + 48*n**2 - 220*n - 15. Find z such that i(z) = 0.
-6, 56
Factor 13*t + 1/3*t**2 - 40/3.
(t - 1)*(t + 40)/3
Suppose -27*c + 33*c = 36. Solve 484 + 85*x - 434 + c*x**2 + 9*x**2 = 0.
-5, -2/3
Let q = 2346601/200 - 11733. Let m(d) be the third derivative of -18*d**2 + 0*d - 3/50*d**5 + 0*d**3 - 9/40*d**4 + 0 - q*d**6. Factor m(n).
-3*n*(n + 3)**2/5
Factor 0*c**2 - 2*c - 3*c + 18 - 88 - 4*c + c**2.
(c - 14)*(c + 5)
Let c(k) be the second derivative of 3*k**5/20 - 107*k**4/4 - 109*k**3 + 463*k. Suppose c(x) = 0. Calculate x.
-2, 0, 109
Suppose 0 = 7*z - 12*z + 50. Suppose -v + 5*f + z + 19 = 0, 2*v + 4*f = 86. Factor -296*k**2 - 17 + 101*k + 151*k**3 + v*k + 137*k**3 - 7 + 20*k**5 - 128*k**4.
4*(k - 3)*(k - 1)**3*(5*k - 2)
Let o = -4502524/111 - -40564. Let w = o - 2/37. Suppose -8*n**3 + 0*n - 24*n**4 - w*n**2 + 0 = 0. Calculate n.
-1/6, 0
Let j be 4/26 - (192/(-260))/((-144)/(-360)). What is g in -3/7*g**j - 972/7 + 108/7*g = 0?
18
Let z(f) be the first derivative of f**5/35 - 17*f**4/28 + 15*f**3/7 - 43*f**2/14 + 2*f + 1173. Determine q, given that z(q) = 0.
1, 14
Let m(q) be the second derivative of 2/19*q**4 + 2/95*q**6 - 309*q + 0 - 1/399*q**7 + 0*q**2 - 13/190*q**5 - 4/57*q**3. Solve m(c) = 0 for c.
0, 1, 2
Suppose -5*t = 4*b - 20, -t + 5*b + 3 = 6*b. Suppose 2*l = -0*l - t, j + 5*l + 18 = 0. Factor 0 - 4/5*u**j + 4/5*u.
-4*u*(u - 1)/5
Let m(x) be the second derivative of 5*x**4/12 + 50*x**3/3 - 110*x**2 + 117*x - 3. Solve m(c) = 0.
-22, 2
Let d(p) be the second derivative of -165/8*p**2 - 25/16*p**4 - 1/16*p**5 - 235/24*p**3 + 2*p + 25. Factor d(x).
-5*(x + 1)*(x + 3)*(x + 11)/4
Suppose -2*m + 3*q + 9 = -4*m, -4*m + q = -17. Factor -3*d + 9*d**2 - 311 - m*d**4 + 309 - d**3 + 0*d**2.
-(d - 1)**2*(d + 2)*(3*d + 1)
Let h(r) be the third derivative of r**5/100 - 49*r**4/40 - 33*r**3 - 4*r**2 - 2*r + 3. Factor h(l).
3*(l - 55)*(l + 6)/5
Factor 15*g**4 + 163*g - 40*g - 37*g**2 - 30*g + 162*g**2 + 110*g**3 - 6