*x(r). Solve j(c) = 0 for c.
-2/3, 2, 11
Let g be (7 + 232/(-24))*(-3)/4. Let z(m) be the second derivative of -14*m + 0 + 2/5*m**g - 1/3*m**3 - 7/30*m**4. Factor z(j).
-2*(j + 1)*(7*j - 2)/5
Factor 6016/3*m + 2/3*m**2 + 4524032/3.
2*(m + 1504)**2/3
Let u(d) = 2*d**2 + 8*d - 366. Let i(y) = y - 2. Let w(b) = 4*i(b) + u(b). Solve w(t) = 0 for t.
-17, 11
Let t(z) be the third derivative of z**6/1440 + z**5/96 - z**4/4 - 49*z**3/6 + 2*z**2 + 5*z. Let w(s) be the first derivative of t(s). Factor w(r).
(r - 3)*(r + 8)/4
Let j(x) = 13*x**2 + 44*x + 57. Let m(d) = -7*d**2 - 22*d - 29. Let w(r) = 6*j(r) + 11*m(r). Let l be w(-21). Factor 30*n**2 - 5*n - n**3 - 12*n**l - 12*n**2.
-n*(n - 5)*(n - 1)
Let x(l) = 2*l**2 - 1. Let r(p) = -p**2 + 387*p + 157. Let u(g) = -r(g) - 3*x(g). Determine v so that u(v) = 0.
-77, -2/5
Let w(u) be the first derivative of -25*u**3/12 - 2355*u**2/4 - 221841*u/4 + 117. Factor w(c).
-(5*c + 471)**2/4
Let v = 228082 + -228079. Factor -3/8 + 3/4*u + 3/8*u**4 + 0*u**2 - 3/4*u**v.
3*(u - 1)**3*(u + 1)/8
Factor 963/4*m**2 + 3/4*m**3 + 954*m + 951.
3*(m + 2)**2*(m + 317)/4
Let n(s) be the first derivative of 27*s**4 + 284*s**3 + 3344*s**2/3 + 1936*s + 274. Let n(z) = 0. What is z?
-3, -22/9
Suppose 3*k + 77 = -y + 40, -1655 = -2*y + 127*k. What is m in -8/9*m + 2/3 + 2/9*m**y = 0?
1, 3
Let f(i) = -3*i**5 + i**4 + i**3 + 2*i**2 - i + 1. Let c(k) = -4*k**5 + 2*k**4 + 3*k**3 - 2*k + 2. Let w(g) = 3*c(g) - 3*f(g). Factor w(s).
-3*(s - 1)**3*(s + 1)**2
Suppose -3*z = 2*t - 14, -3*z + 4*z = -3*t + 14. Suppose z = 2*p - a, -5*p - 5*a = -19 - 1. Factor -16/5*f - 14/5 - 2/5*f**p.
-2*(f + 1)*(f + 7)/5
Let o(f) = -f**2 + 11*f - 1. Let t be o(10). Let z be (-12)/10*(3 - 33/6). Find v such that -v**3 - z*v + 6*v**5 - t*v**5 + 0*v**3 + 7*v**3 = 0.
-1, 0, 1
Let o(b) be the third derivative of -1/3*b**3 + 1/120*b**6 + 0 - 1/24*b**4 + 10*b - 8*b**2 + 1/30*b**5. Find s, given that o(s) = 0.
-2, -1, 1
Let b(u) = u**3 + 22*u**2 - 2*u - 41. Let y be b(-22). Factor -5*n**y - 2200 - 10*n**3 - 10*n**2 + 15*n + 2210.
-5*(n - 1)*(n + 1)*(3*n + 2)
Suppose 28 = 9*s - 8. Factor -4*z**3 - 2*z**5 + 5*z**4 - z**2 - 7*z**2 + 6*z**5 + 3*z**s.
4*z**2*(z - 1)*(z + 1)*(z + 2)
Let a(o) be the second derivative of 0 + 5/4*o**4 + 3/4*o**5 - 30*o - 9*o**2 - 5/2*o**3 + 1/10*o**6. Suppose a(m) = 0. Calculate m.
-3, -2, -1, 1
Suppose 5*c - 8*c - f + 10961 = 0, f + 14617 = 4*c. Let y be (-29)/(c/(-280)) - (-2)/18. Factor -2/3*h + 0 - h**2 - y*h**4 + 4*h**3.
-h*(h - 1)**2*(7*h + 2)/3
Suppose -r + 14 = -1 + 15. What is o in 5/2*o**2 + 25/2*o + r = 0?
-5, 0
Find o such that -1/9*o**2 + 5/3*o + 0 = 0.
0, 15
Let t be 124/24 + (-42)/(-18). Find w such that -9 - t*w + 3/2*w**2 = 0.
-1, 6
Let w = 71033 + -71033. Determine k so that 1/6*k**2 - 7/6*k + w = 0.
0, 7
Let q = 57 - 111/2. Suppose 437*f - 897*f + 5664 = 956*f. Determine t, given that -1/2*t**2 + 1/2*t + 1/2*t**f + t**5 + 0 - q*t**3 = 0.
-1, 0, 1/2, 1
Suppose -21*g - 8 = -23*g. Determine j so that 2*j**3 + 6*j**5 + 0*j**3 - 8*j - 11*j**g + 16*j**2 - 5*j**4 = 0.
-1, 0, 2/3, 1, 2
Factor 40*t**2 + 5*t**3 + 0 + 140/3*t - 5/3*t**4.
-5*t*(t - 7)*(t + 2)**2/3
Let m = -1196/11 - -8504/77. Factor -m*s + 1/7*s**2 + 36/7.
(s - 6)**2/7
Let p be -342 + -12*24/(-32). Let f = p - -337. Find x such that 8/5*x**3 + 8/5*x**f + 2/5*x**5 + 0*x**2 + 0*x + 0 = 0.
-2, 0
Let b(f) = 23*f**2 - f + 3. Let t be b(0). Let g(l) be the third derivative of -1/200*l**6 - 1/20*l**5 - 3/10*l**t + 0*l + 0 - 11*l**2 - 7/40*l**4. Factor g(u).
-3*(u + 1)**2*(u + 3)/5
Let t be (-10)/(-4)*(1 - 14/10). Let g be (31/93)/(12/10 + t). Factor -g - 1/3*z**2 - 2*z.
-(z + 1)*(z + 5)/3
Suppose 0 = 8*b - 122 + 98. Let -4 - 8*i - 2 + 15*i**4 - 13*i - 9*i**2 + 21*i**b = 0. Calculate i.
-1, -2/5, 1
Let k(v) be the third derivative of -v**7/42 + 125*v**6/2 + 1001*v**5/4 + 3755*v**4/12 + 939*v**2. Determine s, given that k(s) = 0.
-1, 0, 1502
Determine y so that y**3 - 27/2*y**2 + 1/2*y**4 + 26*y - 14 = 0.
-7, 1, 2
Suppose -53*y + 14*y + 0*y = 0. Let z(v) be the first derivative of y*v**4 + 0*v + 0*v**2 + 4 + 8/3*v**3 - 2/5*v**5. Let z(u) = 0. What is u?
-2, 0, 2
Let c(f) be the first derivative of -2/5*f**3 - 8*f + 6/5*f**2 - 6 + 1/20*f**4. Let x(b) be the first derivative of c(b). Factor x(t).
3*(t - 2)**2/5
Let u(h) = -9*h**2 - 12197*h - 12173. Let j(s) = 28*s**2 + 36596*s + 36520. Let r(o) = 5*j(o) + 16*u(o). Solve r(g) = 0 for g.
-3042, -1
Let y(s) be the first derivative of -s**6/2 + 3*s**5/20 + 35*s**4/4 - 37*s**3/2 + 9*s**2 - 6*s - 216. Let b(p) be the first derivative of y(p). Solve b(g) = 0.
-3, 1/5, 1, 2
Let i be 0 - (-3408)/10 - 44/55. Let m = 1703/5 - i. Suppose 0 - 6/5*b**3 + 0*b - 9/5*b**4 - m*b**5 + 0*b**2 = 0. What is b?
-2, -1, 0
Let 17/5*m**2 + 1/5*m**3 + 82/5*m + 24 = 0. What is m?
-10, -4, -3
Let s be 1*-205*(-39)/65. Determine d so that -24 + d**3 - 4*d**2 - s*d + 151*d - 6*d**2 = 0.
2, 6
Let u(a) be the first derivative of -1/5*a**5 + 8*a + 2/3*a**3 + 9 + 3/4*a**4 - 6*a**2. Solve u(y) = 0.
-2, 1, 2
Let p(v) = 147*v + 89. Let y be p(4). Let t = -1353/2 + y. Solve 0*h + 0 + t*h**2 - 1/4*h**3 = 0.
0, 2
Let h = 20 + -20. Suppose 3*d + h = 9. Find c such that 5*c - 7*c**3 - 7*c**3 + 10*c**2 + 9*c**d - 10 = 0.
-1, 1, 2
Let u be 11 - ((-270)/(-50) - 30/(-50)). Let f(l) be the third derivative of 31*l**2 + 0 + 0*l - 1/8*l**3 + 1/160*l**u + 1/64*l**4. Factor f(i).
3*(i - 1)*(i + 2)/8
Factor 675/2*z**2 - 234*z + 79/2 + 27*z**3.
(3*z - 1)**2*(6*z + 79)/2
Let k(p) = 3*p**2 + 2*p + 2820. Let x be k(0). Suppose -12*q**5 + x*q - 8*q**3 + 20*q**4 - 2820*q = 0. Calculate q.
0, 2/3, 1
Let x(m) be the second derivative of 5*m**4/12 - 25*m**3/6 - 210*m**2 + 685*m. Find t such that x(t) = 0.
-7, 12
Suppose 5*d = -24 + 24. Let q = d + 8. Solve -7*c + q*c**3 + 9*c**2 + 7*c**3 - 8*c - 6 - 3*c**2 = 0 for c.
-1, -2/5, 1
Suppose 23131*a**2 + 668 + 1050*a + 23129*a**2 + 1412 - 46255*a**2 = 0. Calculate a.
-208, -2
Let z(l) be the first derivative of -l**6/6 + 17*l**5/5 - 11*l**4/2 - 46*l**3 + 279*l**2/2 - 135*l + 1735. Determine b so that z(b) = 0.
-3, 1, 3, 15
Let a(p) be the first derivative of -p**5/40 + 9*p**4/32 - 7*p**3/6 + 9*p**2/4 - 2*p + 555. Solve a(s) = 0 for s.
1, 2, 4
Let a(v) = -6064*v - 54540. Let x be a(-9). Find c, given that 0 - x*c - 2/3*c**2 = 0.
-54, 0
Let g(j) be the first derivative of 0*j**3 + 3/80*j**4 + 0*j + 1/1200*j**6 + 4 + 4*j**2 + 1/100*j**5. Let u(q) be the second derivative of g(q). Factor u(l).
l*(l + 3)**2/10
Find j such that -36 + 19*j**4 + 27*j**3 + 93*j - 81*j**2 + 17*j**4 - 68*j**4 + 29*j**4 = 0.
1, 3, 4
Suppose 14*b - 9251 = -25743. Let n = b + 2381/2. Let -15*l - n - 9/2*l**2 = 0. Calculate l.
-5/3
Let w = 226547 - 226547. Let 13/5*d**4 + w*d + 0 + 1/5*d**5 + 23/5*d**3 + 11/5*d**2 = 0. Calculate d.
-11, -1, 0
Let t(f) be the first derivative of -f**7/525 - 2*f**6/75 + 271*f**2/2 + 84. Let s(v) be the second derivative of t(v). Factor s(q).
-2*q**3*(q + 8)/5
Find j, given that -2*j**3 - 1/5*j**5 - 11/5*j**4 + 0 + 0*j**2 + 0*j = 0.
-10, -1, 0
Factor 49 + 104*l**2 + 82*l**2 - 191*l**2 - 65*l + 21.
-5*(l - 1)*(l + 14)
Let d be (-28)/(-8)*140/49. Let k(n) = -n**2 + 15*n - 50. Let h be k(d). Find f, given that h - 2/5*f**2 - 4/5*f = 0.
-2, 0
Let v(y) = 10*y**3 + 176*y**2 + 1339*y + 1669. Let f(n) = n**3 + 35*n**2 + 268*n + 334. Let b(h) = 11*f(h) - 2*v(h). Factor b(r).
-3*(r - 8)*(r + 2)*(3*r + 7)
Let g = -52457/28 - -13116/7. Factor -3*r**3 - g*r**4 - 27/2*r**2 - 27*r - 81/4.
-(r + 3)**4/4
Solve -116/13*f - 64/13*f**3 - 2/13*f**4 + 0 - 178/13*f**2 = 0 for f.
-29, -2, -1, 0
Let n = -1127112 - -3381436/3. Let 2192/3*b - 380/3*b**3 - 848*b**2 + n*b**4 - 448/3 = 0. Calculate b.
-4, 2/5, 7
Let c be (17 - 20) + (8 + -1 - 2). Solve 4*k**c + 4*k**3 - 4*k - 4*k**4 - 1264 + 632 + 632 = 0 for k.
-1, 0, 1
Find q, given that 30/7*q**2 - 3/7*q**3 + 72/7 - 12*q = 0.
2, 6
Factor -14 - 80/3*z**2 - 164/3*z.
-2*(4*z + 7)*(10*z + 3)/3
Let n(g) be the second derivative of 3/50*g**5 + 0*g**2 + 174*g - 1/70*g**7 + 0*g**6 + 0*g**4 + 0 - 1/10*g**3. Factor n(k).
-3*k*(k - 1)**2*(k + 1)**2/5
Let a(l) be the second derivative of l**6/210 + l**5/70 - 55*l**4/84 - 4*l**3/3 - 4*l + 129. Let a(m) = 0. What is m?
-8, -1, 0, 7
Let i = 592434 + -2962132/5. Suppose -34/5 - 2/5*k