*2 + 4/3 + 5/3*y = 0.
-2, -1, 4
Suppose 392*c = -210*c + 177*c + 1700. Factor -1/2*g**3 + 0 + 2*g + 2*g**2 - 1/2*g**c.
-g*(g - 2)*(g + 1)*(g + 2)/2
Let n(b) be the third derivative of 1/4*b**5 + 25*b + 7/4*b**4 + b**2 + 0*b**3 + 0 - 1/40*b**6. What is c in n(c) = 0?
-2, 0, 7
Let z(x) = -x**3 + 79*x**2 - 79*x + 78. Let w be z(78). Let h(v) be the third derivative of 0*v - 1/12*v**4 + 3*v**2 - 1/120*v**5 + w + 0*v**3. Factor h(a).
-a*(a + 4)/2
Let q = 2687/8043 - 2/2681. Let h(m) be the first derivative of -q*m**3 + 0*m + m**2 + 11. Determine y, given that h(y) = 0.
0, 2
Let p(o) = 1904*o + 477914. Let m be p(-251). Solve -51/5 - m*a + 1/5*a**2 = 0.
-1, 51
Let v(k) = k**2 + k + 3. Let n be v(-1). Let z be n - 2 - (-2)/6. Factor -4/3 - 1/3*d**2 - z*d.
-(d + 2)**2/3
Suppose 737 = -10*i + 1511 - 754. Factor 2/5 - 8/5*p**i - 3/5*p**3 - 3/5*p.
-(p + 1)*(p + 2)*(3*p - 1)/5
Suppose 2*r = 1274 - 1266. Suppose d - 7*a - 22 = -11*a, r*d + 3*a - 23 = 0. Solve 14*o - 9/2 - 3/2*o**d = 0.
1/3, 9
Let n(w) be the first derivative of -w**6/6 - w**5/5 + 11*w**4/4 + 29*w**3/3 + 13*w**2 + 8*w + 1724. Suppose n(o) = 0. What is o?
-2, -1, 4
Let b(a) be the second derivative of -1/42*a**7 + 0*a**3 - 2/15*a**6 + 0*a**2 + 1/20*a**5 + 0 + 31*a + 1/3*a**4. Solve b(l) = 0 for l.
-4, -1, 0, 1
Let k(y) be the third derivative of -y**5/450 - 107*y**4/180 + 12*y**3/5 - 8*y**2 - 80. Determine c, given that k(c) = 0.
-108, 1
Solve -458*p**4 + 5*p**5 + 652*p**3 + 289*p**2 - 6*p**5 - 29*p**2 - 6*p**5 - 447*p**4 = 0 for p.
-130, -2/7, 0, 1
Let q(f) be the third derivative of 1/330*f**5 + 2 + 11/3*f**3 - 1/6*f**4 + 0*f - 73*f**2. Find h, given that q(h) = 0.
11
Let x(t) be the second derivative of -t**7/70 + t**6/2 - 123*t**5/25 + 7*t**4 + 262*t. Find o such that x(o) = 0.
0, 1, 10, 14
Let g(t) be the first derivative of -17*t**6/45 - 164*t**5/75 - 47*t**4/10 - 208*t**3/45 - 28*t**2/15 - 933. Determine q so that g(q) = 0.
-2, -1, -14/17, 0
Let a(j) be the third derivative of -j**6/360 + j**5/20 - 3*j**4/8 + 4*j**3 - 2*j**2 + 4*j. Let q(f) be the first derivative of a(f). Factor q(x).
-(x - 3)**2
Let f be (15/2)/(-1)*(-40)/(-15). Let t be (-8)/f - (-88)/5. What is o in 4*o**3 + 2*o + 0*o + 14*o**4 - t*o + 0*o**3 - 56*o**2 = 0?
-2, -2/7, 0, 2
Let -143/3*b - 1/3*b**2 - 142/3 = 0. What is b?
-142, -1
Let d be (62/(-15) + 4)*(-15)/9. Let t(l) be the second derivative of 7/9*l**3 + 2/3*l**2 + 0 - d*l**4 - 14*l. Factor t(r).
-2*(r - 2)*(4*r + 1)/3
Let u = 75 + -23. Let i = u - 48. Solve -a + 10*a**3 - i*a**2 + 3*a**2 - 11*a**3 + 3*a**2 = 0 for a.
0, 1
Let s(m) be the second derivative of m**5/4 - 215*m**4/12 + 35*m**3 - 59*m + 2. Factor s(f).
5*f*(f - 42)*(f - 1)
Suppose 2*o = -2, -5*b = -4*o + o - 453. Let w be 3*(34/(-85) + 116/b). What is v in 8/3 - w*v + 2/3*v**2 = 0?
2
Let h = 689 + -687. Let w(l) be the first derivative of -2/27*l**3 - 16/9*l - 2/3*l**h + 25. Determine z so that w(z) = 0.
-4, -2
Let m be 264/84 + -2*1/((-5)/(-5)). Factor 0*g + 2/21*g**4 + 0 - m*g**2 + 16/21*g**3 - 2/21*g**5.
-2*g**2*(g - 2)**2*(g + 3)/21
Let o(u) = 3*u**2 - 592*u - 4180. Let p(g) = -4*g**2 + 888*g + 6304. Let i(h) = 8*o(h) + 5*p(h). Suppose i(r) = 0. Calculate r.
-6, 80
Let x = 93 + 443. Let s = 2147/4 - x. Factor 0 + 7/4*p**3 + 0*p + 1/4*p**5 - 5/4*p**4 - s*p**2.
p**2*(p - 3)*(p - 1)**2/4
Let s(j) = 1 + j**2 - 3 - 7*j - 7*j + 9*j. Let x be s(6). Solve w**2 - 8*w**x + 2*w + 6*w**4 - 2*w**3 + w**2 = 0.
-1, 0, 1
Let r be ((-3452)/(-48))/(1/(-4)) - -1. Let a = r + 288. Find j such that 20/3*j**3 + 8/3*j**2 - 10/3*j**5 - a - 10/3*j - 4/3*j**4 = 0.
-1, -2/5, 1
Let t be 16/(-4) - (-2 + 119 - -4). Let c = -120 - t. Factor -10*g**3 - 4 + 15*g**4 + 15*g - 1 + 30*g**2 - c*g**5 - 40*g**2.
-5*(g - 1)**4*(g + 1)
Let p(c) be the second derivative of c**6/780 - c**5/195 + c**4/156 + 37*c**2/2 + 2*c + 37. Let g(f) be the first derivative of p(f). Factor g(x).
2*x*(x - 1)**2/13
Let b(u) be the third derivative of u**7/105 - 7*u**6/12 + 167*u**5/30 + 203*u**4/12 - 10*u**2 + 17. Factor b(h).
2*h*(h - 29)*(h - 7)*(h + 1)
Let o(t) be the first derivative of -2/15*t**5 - 1/3*t**4 + 0*t**3 - 56 + 1/9*t**6 + 0*t + 0*t**2. Let o(w) = 0. What is w?
-1, 0, 2
Let m be 1/(-4)*(-76 - -76). Let n(h) be the second derivative of 0*h**2 - 1/12*h**4 + m - 1/6*h**3 + 14*h. Factor n(o).
-o*(o + 1)
Let b = 121 + -142. Let i(o) = -3*o**2 + 41*o - 17. Let h(k) = k**2 - 13*k + 6. Let x(n) = b*h(n) - 6*i(n). Factor x(d).
-3*(d - 8)*(d - 1)
Let y(i) be the first derivative of i**4/108 - i**3/54 + 40*i + 23. Let d(z) be the first derivative of y(z). Let d(g) = 0. Calculate g.
0, 1
Let h(g) = 38*g**2 - 984*g + 7. Let m(a) = 11*a**2 - 327*a + 2. Let s(t) = -6*h(t) + 21*m(t). Factor s(u).
3*u*(u - 321)
Let g = 142 - 268. Let v be (-15)/g + (9 + -8)/6. Factor 6/7*o**2 - v*o**4 - 8/7 - 4/7*o**3 + 8/7*o.
-2*(o - 1)**2*(o + 2)**2/7
Solve -1529 + 1865 + 11*i**2 + 7*i**2 - 1516*i = 0 for i.
2/9, 84
Let a(k) be the first derivative of -5*k**6/18 + 13*k**5/15 + 13*k**4/6 + 8*k**3/9 - 870. Determine f so that a(f) = 0.
-1, -2/5, 0, 4
Let s(x) = -x + 16 - 9 + x**3 - 6. Suppose -5 = c - 4. Let g(p) = 12*p**3 - 12*p + 15. Let r(f) = c*g(f) + 15*s(f). Determine q so that r(q) = 0.
-1, 0, 1
Let r = 34006 - 34004. Let d(s) be the first derivative of 80/3*s**3 - s**5 + 49 - 5/4*s**4 + 0*s - 50*s**r. Solve d(c) = 0 for c.
-5, 0, 2
Let o(n) be the first derivative of 4*n**3/3 + 384*n**2 + 5180*n + 9447. Suppose o(p) = 0. What is p?
-185, -7
Let s(n) = -n**2 + 1. Let u(i) be the first derivative of -2*i + 0*i**2 - 11 + 2/3*i**3. Let x(z) = -3*s(z) - u(z). Factor x(m).
(m - 1)*(m + 1)
Suppose -2*i - p = -4, 5*p = i + 7 - 9. Factor 32*d + 45 + 1813*d**2 + 35 - 1817*d**i.
-4*(d - 10)*(d + 2)
Let b = -316/87 + -15814/261. Let m = -64 - b. Determine c, given that 2/3*c**2 + 2/9*c**3 + 2/3*c + m = 0.
-1
Let b = 2198 + -76928/35. Let p(o) be the first derivative of -17 + 0*o + 1/7*o**2 - b*o**5 - 1/14*o**4 + 2/21*o**3. Factor p(r).
-2*r*(r - 1)*(r + 1)**2/7
Let z(y) be the second derivative of -y**6/270 + 31*y**5/180 - 13*y**4/54 - 62*y**3/27 + 20*y**2/3 - y - 1064. Suppose z(x) = 0. Calculate x.
-2, 1, 2, 30
Let l = 2975/52 - 14719/260. Factor l*v**4 + 3*v**2 + 21/5*v - 18/5 - 21/5*v**3.
3*(v - 6)*(v - 1)**2*(v + 1)/5
Let j = -24816 + 24820. Factor -m**j - 7/5*m**2 - 13/5*m**3 + 0*m + 0 + 1/5*m**5.
m**2*(m - 7)*(m + 1)**2/5
Let l(d) be the third derivative of -d**5/60 - 31*d**4/8 - 220*d**3/3 - 6*d**2 + 18. Factor l(j).
-(j + 5)*(j + 88)
Let n(g) be the third derivative of 5/6*g**3 - 3 + 1/20*g**6 + 0*g + 7*g**2 - 1/15*g**5 - 1/210*g**7 - 1/4*g**4. Suppose n(u) = 0. What is u?
-1, 1, 5
Suppose 3*x = -4*j + 51 + 21, -3*x - 5*j = -75. Factor 2*b**2 - x*b - 21 + 42 + 13*b**2 - 19*b - 8*b**3 + 11*b**3.
3*(b - 1)**2*(b + 7)
Let 32/7*y**2 + 6/7*y**3 - 2/7*y**4 + 24/7*y + 0 = 0. What is y?
-2, -1, 0, 6
Let g = 659 + -659. Let t(d) be the third derivative of -1/4*d**3 + 1/140*d**7 + 28*d**2 + g*d**5 - 1/40*d**6 + 0 + 1/8*d**4 + 0*d. Solve t(m) = 0.
-1, 1
Let h(f) be the third derivative of -f**5/210 + 709*f**4/42 - 502681*f**3/21 - 32*f**2 - 5*f - 4. Solve h(z) = 0.
709
Let k(s) be the first derivative of -92 - 28/5*s + 6/5*s**3 - 61/5*s**2. Factor k(w).
2*(w - 7)*(9*w + 2)/5
Factor 10 - 1/2*b**2 - 179/6*b.
-(b + 60)*(3*b - 1)/6
Let v(c) be the first derivative of -4/27*c**3 - 11 + 7/540*c**5 + 0*c - 9*c**2 - 13/108*c**4. Let w(g) be the second derivative of v(g). What is x in w(x) = 0?
-2/7, 4
Factor -60025/2 + 245*p - 1/2*p**2.
-(p - 245)**2/2
Let l = 87 + -63. Suppose -l*p = -5*p - 1026. Solve p*g**4 + 144*g + 96 - 15*g**5 - 85*g**2 + 24*g**3 - 81*g**2 - 74*g**2 = 0.
-2, -2/5, 2
Factor -687*j**5 + 71*j**3 + 24*j**4 - 8*j**3 + 66*j**2 + 690*j**5 + 24*j.
3*j*(j + 1)**2*(j + 2)*(j + 4)
Let y(c) be the second derivative of -c**7/105 + 7*c**6/25 - 49*c**5/25 - 71*c**4/15 + 33*c**3/5 + 121*c**2/5 + 2*c + 221. Let y(v) = 0. What is v?
-1, 1, 11
Let b = 220287 - 220272. Factor -b - 29/2*w + 1/2*w**2.
(w - 30)*(w + 1)/2
Find t, given that 1/9*t**5 - 8/3*t - 4 - 11/9*t**4 + 47/9*t**2 + 23/9*t**3 = 0.
-1, 1, 6
Suppose w = -3*n + 107, -29*n - 2*w = -30*n + 38. Let m be 9/n*32/12. Factor m + 0*y - 2/3*y**2.
-2*(y - 1)*(y + 1)/3
Let v(y) be the second derivative of -y**4/66 + 47*y**3/