g**5/45 - 2*g**4 + g**3/6 + 2*g**2 + 20. Let a(h) be the second derivative of y(h). Factor a(m).
-2*(m - 14)*(m - 2)/21
Let r = 3245 + -3241. Let o(j) be the first derivative of -6*j**2 + r + 3/4*j**4 - j**3 + 12*j. Solve o(s) = 0.
-2, 1, 2
Let y = -5/31 + 77/93. Let d(u) be the first derivative of -y*u**3 + 0*u**2 + 0*u - 15 + 7/4*u**4 - u**5. Determine q, given that d(q) = 0.
0, 2/5, 1
Let l = -210 - -230. Suppose 2*y + 1 = -5*b - l, 5*b = -4*y - 17. Suppose 4/3*w - 1/3 - 1/3*w**4 - 2*w**y + 4/3*w**3 = 0. Calculate w.
1
Let u(b) be the first derivative of -b**4/12 - 115*b**3/9 + 233*b**2/6 - 39*b + 4349. Suppose u(d) = 0. Calculate d.
-117, 1
Let o(z) be the second derivative of z**4/28 - 690*z**3/7 + 714150*z**2/7 + 4*z + 153. Factor o(p).
3*(p - 690)**2/7
Suppose 0 = t - 5, g - 4*t = -1 - 12. Find o such that -16*o + 2*o**3 + g*o**3 - 11*o**3 + 12*o**2 = 0.
0, 2, 4
Factor -7*n**4 + 10 - 25*n - n**4 + 0*n**4 + 5*n**3 + 15*n**2 + 3*n**4.
-5*(n - 1)**3*(n + 2)
Determine g, given that 50/9*g**2 + 0 + 2/9*g**3 + 28*g = 0.
-18, -7, 0
Let f(v) = -3*v**2 - 3*v + 6. Let j(c) = -7*c**2 - 1368*c - 463749. Let o(s) = 2*f(s) - j(s). Solve o(g) = 0 for g.
-681
Let a(b) be the third derivative of b**5/60 - b**4/12 - 11*b**3/3 - 29*b**2. Let v be a(6). Suppose -u**2 + 12*u + 1 + 4*u**2 - v + 10 = 0. What is u?
-3, -1
Suppose 2*h + 7*d = 12*d + 45, -5*h = -2*d - 81. Factor -h*b**2 - 34*b + 49*b - 33*b - 3*b**3.
-3*b*(b + 2)*(b + 3)
Let b(a) be the third derivative of 2*a**7/105 - 47*a**6/30 + 224*a**5/5 - 1240*a**4/3 - 6400*a**3/3 + 413*a**2. Solve b(z) = 0 for z.
-1, 8, 20
Let n = 1871430/13 + -143956. Solve 12/13*m**3 - 18/13 + 16/13*m**2 - 12/13*m + n*m**4 = 0.
-3, -1, 1
Let j(h) be the third derivative of -1/540*h**5 + 0*h**3 + 0*h + 1/72*h**4 + 25*h**2 + 0. Find m such that j(m) = 0.
0, 3
Let j(h) be the second derivative of h**5/90 - h**4/6 - 4*h**3/9 + 160*h**2/9 + 3175*h. Factor j(p).
2*(p - 8)*(p - 5)*(p + 4)/9
Let w be 0 + (-25 - -2 - (-13221)/565). Let -6*r - w*r**2 - 88/5 = 0. What is r?
-11, -4
Let x = -49 - -88. Let f = -35 + x. Find q such that -4*q**4 - 11*q**4 + 30*q**4 - 11*q**f - 8*q**3 + 4*q**2 = 0.
0, 1
Let w = 2552 + -2552. Let g(r) be the first derivative of -1/2*r**2 + w*r**4 + 1/6*r**6 + 2/3*r**3 - 2/5*r**5 + 6 + 0*r. Solve g(p) = 0 for p.
-1, 0, 1
Let z(o) be the second derivative of -o**5/28 + o**4/6 - 348*o. Factor z(u).
-u**2*(5*u - 14)/7
Let l(t) be the second derivative of -t**4/54 + 700*t**3/27 + 156*t**2 + 13975*t. Factor l(g).
-2*(g - 702)*(g + 2)/9
Let j = 138322 + -414956/3. Determine i, given that -8/3 + 4*i - i**3 + j*i**2 - 2/3*i**4 = 0.
-2, 1/2, 2
Let 258*s**3 - 423*s**4 + 3*s**5 - 10935 - 238*s**4 + 1782*s**2 + 598*s**4 - 9477*s = 0. What is s?
-5, -1, 9
Let 726*k - 2*k**4 + 1 - 19 - 774*k - 44*k**2 - 16*k**3 = 0. What is k?
-3, -1
Let j(z) be the first derivative of 10*z**3 + 55/8*z**4 + 5/24*z**6 + 81 + 45/8*z**2 + 2*z**5 + 0*z. Determine y so that j(y) = 0.
-3, -1, 0
Let i(f) be the second derivative of f**4/78 + 42*f**3/13 + 125*f**2/13 + 2921*f. Find n such that i(n) = 0.
-125, -1
Let x be 2/4*(83 - 1237). Let g = 1179/2 + x. Let -28*m**2 + 0 - 6*m - 55/2*m**3 + g*m**4 = 0. What is m?
-2/5, 0, 3
Find t, given that -544/3*t**2 - 1346/3*t**3 - 8/3 - 240*t**5 - 532*t**4 - 106/3*t = 0.
-4/5, -1/2, -1/3, -1/4
Let y(m) be the second derivative of -m**4/6 - 16*m**3 + 6*m - 173. Factor y(j).
-2*j*(j + 48)
Let d = 585 + -640. Let i be d/(-28) - (-9)/(-180)*5. Factor 3/7*a**4 + i*a**2 + 12/7*a**3 + 0*a + 0.
3*a**2*(a + 2)**2/7
Let d be -7 - ((-1824)/4 - 2). Let i be 205/d*1*(-6)/(-15). Find x, given that 8/11 + i*x**2 - 10/11*x = 0.
1, 4
Let v(y) be the first derivative of y**7/420 - y**6/36 - 13*y**5/60 - 7*y**4/12 - 23*y**3 - 32. Let q(m) be the third derivative of v(m). Factor q(k).
2*(k - 7)*(k + 1)**2
Let m = 2636/12105 + 6/1345. Let g be (-29)/(-9) + -3 + 0. Determine a so that 0 - 2/9*a**3 - 2/9*a**2 + g*a + m*a**4 = 0.
-1, 0, 1
Let p be 27/42*(-380)/(-57) - 4/14. Let r(d) be the second derivative of -5/4*d**3 - 9/2*d**2 + 1/8*d**p + 0 - 32*d. What is h in r(h) = 0?
-1, 6
Let l be 9/(-36) + 15*(-35)/(-100). Let t(d) be the third derivative of 2*d**3 - 3*d**2 + 0*d + 0 + 1/3*d**l - 1/30*d**6 - 7/6*d**4. Solve t(m) = 0 for m.
1, 3
Let m(o) be the second derivative of 7*o**3/6 + 3*o**2 - 17*o. Let g be m(3). Factor 2*v**2 - 99*v - 17*v**3 + g + 8*v**3 + 39*v**2 + 16*v**2.
-3*(v - 3)**2*(3*v - 1)
Suppose 1 = 3*z - b, -4*z + 2*b = -3*z + 3. Factor c + 3*c**3 + 8*c**3 - 223*c**4 + 9*c**2 + 227*c**4 - z.
(c + 1)**3*(4*c - 1)
Let i(v) = -10*v**4 - 29*v**3 + 77*v**2 - 37*v - 78. Let o(d) = d**4 + 6*d. Let z(m) = -2*i(m) - 22*o(m). Suppose z(n) = 0. What is n?
-1, 1, 3, 26
Let g(x) be the first derivative of -196 + 2/13*x**2 + 4/13*x**4 - 6/65*x**5 - 14/39*x**3 + 0*x. Determine q, given that g(q) = 0.
0, 2/3, 1
Let t(k) be the first derivative of -294*k**2 + 0*k - 224*k**3 + 28 - 3/5*k**5 - 87/4*k**4. Factor t(l).
-3*l*(l + 1)*(l + 14)**2
Let c(m) be the second derivative of 1/7*m**3 - 1/42*m**4 + 0 + 13*m + 0*m**2. Suppose c(g) = 0. What is g?
0, 3
Let w = 94 - 91. Suppose -w*m = 13*m - 64. Find y such that 7*y**4 - 4*y**m + 8*y**5 - 6*y**3 - 5*y**5 = 0.
-2, 0, 1
Suppose f = 2*j + 329, 4*j + 661 = 29*f - 26*f. Let x = 490/3 + j. Factor 0*z + x*z**3 + 0*z**2 + 0.
z**3/3
Let z be 52/5 - ((-2)/(-5) - 0). Let t(i) = 20*i - 198. Let h be t(z). Let -1/4*r**h - 1/4*r + 1/2 = 0. What is r?
-2, 1
Let x = -100 - -102. Solve -2*h**x + 880 - 28*h - 880 = 0.
-14, 0
Solve -4/3*s**2 - 5/9*s**3 + 5/9*s + 4/3 = 0 for s.
-12/5, -1, 1
Let n be (-57*(-24)/18240)/(3/2). Let q(f) be the first derivative of -10 + 1/8*f**4 + 0*f**2 - 1/12*f**3 - n*f**5 + 0*f. Let q(s) = 0. Calculate s.
0, 1
Suppose 0 = -4*k + 21 - 13. Suppose -k*h - 21 = -5*p, -h + 4*h = 2*p - 4. Factor -20*d + 35/4*d**h + 5.
5*(d - 2)*(7*d - 2)/4
Let l(o) = -51*o**5 - 312*o**4 - 45*o**3 + 1881*o**2 - 45*o. Let i(k) = 9*k**5 + 55*k**4 + 8*k**3 - 332*k**2 + 8*k. Let h(n) = -45*i(n) - 8*l(n). Factor h(y).
3*y**2*(y - 2)*(y + 3)*(y + 6)
Suppose -19*u + 11500 = -15*u. Suppose 2*d - 5*x = 3*d - u, 0 = -3*d + 4*x + 8701. Let 2895*m - d*m - 4*m**2 = 0. Calculate m.
0
Let h(c) = 9*c**4 + 12*c**3 - 6*c**2 - 7*c - 8. Let b(i) = -27*i**4 - 4*i + 4*i + i**2 + 1 - i**3 + 26*i**4. Let m(t) = 5*b(t) + h(t). Factor m(q).
(q - 1)*(q + 1)**2*(4*q + 3)
Let s(i) be the third derivative of 0 - 7/16*i**4 - 9/80*i**6 - 3/8*i**5 + 0*i - 63*i**2 - 1/4*i**3. Let s(a) = 0. Calculate a.
-1, -1/3
Let o(k) = k**3 - 3*k**2 + 2*k + 2. Let m be o(2). Let -338 - 48*a + 18*a**2 - 4*a - 20*a**m = 0. What is a?
-13
Suppose u - 6*u + 20 = 0. Let -12*y**3 + y - 3*y + y - 3*y + 20*y**2 - 20*y**u + 16*y**5 = 0. Calculate y.
-1, 0, 1/4, 1
Suppose -2*z = -27 + 9. Suppose -7 - z = -4*o. Let -7*m**3 - 4*m**o + 454 - 454 - 8*m**2 - 5*m**3 = 0. Calculate m.
-2, -1, 0
Suppose -p + 5*p - 12 = 0. Suppose -5*h = 2*v - p*v - 6, 0 = 2*h + 5*v - 24. Factor d**4 - 2*d**h - 3*d**4 + 1 + 3*d**4.
(d - 1)**2*(d + 1)**2
Let l = 32365/12 - 2697. Let k(i) be the second derivative of -1/36*i**4 + 1/6*i**2 - 1/30*i**5 + 0 + 1/252*i**7 + l*i**3 - 6*i + 0*i**6. Factor k(h).
(h - 2)*(h - 1)*(h + 1)**3/6
Solve 4/19*u**3 - 74/19*u**2 - 118/19*u - 40/19 = 0 for u.
-1, -1/2, 20
Let k(d) be the first derivative of 3*d**5/5 + 9*d**4/2 - 15*d**3 + 12*d**2 + 865. Determine o so that k(o) = 0.
-8, 0, 1
Let l = 68 - 68. Let f be (0 - -5) + l + (-49)/14. Factor 9/4 - f*c + 1/4*c**2.
(c - 3)**2/4
Solve 111/5*x + 114/5 - 3/5*x**2 = 0 for x.
-1, 38
Suppose -9*l = -10*l + 5*i + 10, 3*l + 4*i = 68. Factor -129*y**2 - 65*y**2 - 85*y**3 - 6*y**2 - 65*y + 5 + l*y**4 + 25.
5*(y - 6)*(y + 1)**2*(4*y - 1)
Let q(c) = c**3 + 16*c**2 + 20*c - 12. Let z be q(-14). Suppose -59*m**4 + 258*m**3 - 85*m**2 + 469*m**2 + 4*m - 136*m**4 - z*m + 27*m**5 = 0. Calculate m.
-1, 0, 2/9, 4
Suppose u = -2*i - 444, -8*u + 7*u - 444 = -2*i. Let a = -444 - u. Factor 0 - 4/15*s**5 + 2/15*s**3 + a*s + 2/15*s**4 + 0*s**2.
-2*s**3*(s - 1)*(2*s + 1)/15
Let r(h) be the third derivative of 2*h**2 + 11/48*h**5 + 0 - 79*h + 1/480*h**6 + 243/8*h**3 + 261/32*h**4. Suppose r(q) = 0. What is q?
-27, -1
Let r be -5 + (-3)/48*22. Let i = r - -63/8. Let 1/3 + 7/6*y**2 + i*y = 0. Calculate y.
-1, -2/