ppose -4*s = -2*k + s, k - 4*s = -6. Solve 12*x**2 + k*x - 5*x + 7*x + 3*x**3 = 0 for x.
-2, 0
Let d(x) be the third derivative of x**7/1050 - 13*x**6/300 - 29*x**5/300 + 9*x**4/20 - 1346*x**2 - 2*x + 2. Factor d(j).
j*(j - 27)*(j - 1)*(j + 2)/5
Let j(h) be the third derivative of -h**6/60 + 14*h**5/15 + 211*h**4/12 - 238*h**3/3 + 4*h**2 + 158*h + 1. Factor j(f).
-2*(f - 34)*(f - 1)*(f + 7)
Let a = 156 - 151. Suppose -5*u + 34 = 2*c, -u = 5*c + 2*u - 47. Factor c + a*o - 412*o**2 - 17 + 417*o**2.
5*(o - 1)*(o + 2)
Let d(w) be the first derivative of -4*w**3/3 - 150*w**2 + 304*w - 258. Factor d(r).
-4*(r - 1)*(r + 76)
Let s(j) be the first derivative of 3*j**4/20 + 24*j**3/5 - 72*j**2 + 1536*j/5 - 2186. Determine m, given that s(m) = 0.
-32, 4
Let w(j) be the second derivative of -1/5*j**5 + 1 + 0*j**4 - 5*j + 2*j**3 - 4*j**2. Let w(n) = 0. Calculate n.
-2, 1
Let q(z) = 2*z**3 - z**2 - 2. Suppose -33 = -25*b + 92. Let w(j) = -2*j**3 - 81*j**2 + 58*j + 30. Let s(f) = b*q(f) + w(f). Determine c so that s(c) = 0.
-1/4, 1, 10
Determine w, given that 2766213*w + 72*w**2 + 131 - w**3 - 3*w**3 - 51 - 2766057*w = 0.
-1, 20
Find f such that 1355*f**2 - 15*f + 0 + 915/4*f**3 - 905/4*f**4 = 0.
-2, 0, 2/181, 3
Suppose 3/2*i**2 + 231/2 - 117*i = 0. What is i?
1, 77
Let l(c) = -14*c**2 - 12099*c - 12085. Let t(a) = 4*a**2 + 3457*a + 3453. Let k(j) = -5*l(j) - 17*t(j). Determine n, given that k(n) = 0.
-862, -1
Let w(z) be the second derivative of 0*z**2 - 87*z - 1/60*z**5 + 0 + 0*z**3 + 1/36*z**4. Solve w(d) = 0.
0, 1
Let v(d) be the first derivative of -d**4/2 - 26*d**3 - 38*d**2 + 830. Factor v(l).
-2*l*(l + 1)*(l + 38)
Solve 0 + 2/11*n**4 + 12/11*n**3 + 192/11*n - 128/11*n**2 = 0 for n.
-12, 0, 2, 4
Let s = 17506/5 - 3501. Let t(f) be the second derivative of s*f**5 - 2/15*f**6 - 10*f + 0*f**2 + 0 + 0*f**4 + 0*f**3. Factor t(g).
-4*g**3*(g - 1)
Let y = -66 + 68. Find s, given that -15*s**3 + 25*s**3 - 13*s**3 - 24*s**y = 0.
-8, 0
Let l(v) be the third derivative of 5*v**8/336 - 23*v**7/42 + 115*v**6/24 - 233*v**5/12 + 130*v**4/3 - 170*v**3/3 - 74*v**2. Determine y so that l(y) = 0.
1, 2, 17
Let c = -41235/13 - -123796/39. Factor -c - 1/6*o**3 + 7/3*o**2 + 1/6*o.
-(o - 14)*(o - 1)*(o + 1)/6
Let j = 115 + -135. Let p(k) = k**3 - 1. Let h(x) = -5*x**3 + 29*x**2 - 195*x - 221. Let f(u) = j*p(u) - 5*h(u). Factor f(g).
5*(g - 15)**2*(g + 1)
Suppose 14*q - 357 = -7*q. Suppose q*r = 22 + 12. Solve 1/3*o + 2/3 - 1/3*o**r = 0.
-1, 2
Let x(v) be the first derivative of -v**8/168 + v**7/105 - 3*v**2/2 + 20*v - 28. Let j(a) be the second derivative of x(a). Factor j(g).
-2*g**4*(g - 1)
Let w = -555 + 11097/20. Let p = 67/180 + w. Solve 1/9*l**2 + p + 1/3*l = 0 for l.
-2, -1
Let q = -2661679/4 - -665421. Find m, given that 1/4*m**4 + m - q*m**3 + 1/4*m**5 + 1 - 5/4*m**2 = 0.
-2, -1, 1, 2
Let n(k) be the first derivative of -4*k**5/15 + k**4/6 + 2*k**3 - 13*k**2/3 + 10*k/3 + 4113. Factor n(i).
-2*(i - 1)**3*(2*i + 5)/3
Suppose -13*o = -4*o + 144. Let h be 0 - (7 + 116/o + 0). Suppose h*d**5 - 1/2*d**2 + d**3 - 1/2 - 5/4*d + d**4 = 0. Calculate d.
-2, -1, 1
Find d such that -252/13*d**4 + 0 + 6282/13*d**3 + 104328/13*d**2 + 342792/13*d + 2/13*d**5 = 0.
-6, 0, 69
Factor 0 + 0*q - 3/4*q**4 - 645/4*q**3 + 162*q**2.
-3*q**2*(q - 1)*(q + 216)/4
Let x(j) be the third derivative of j**5/120 + 5*j**4/8 + 27*j**3/4 + 277*j**2 - 3*j. Factor x(f).
(f + 3)*(f + 27)/2
Let b(j) be the second derivative of 3*j**5/50 + 21*j**4/20 + 7*j**3/10 - 9*j**2 + j - 268. Factor b(o).
3*(o - 1)*(o + 10)*(2*o + 3)/5
Let r be (-2)/(-12) + -24 + (-6802)/(-285). Let o(y) be the second derivative of 0*y**2 + 1/30*y**5 + 0*y**3 + r*y**6 + 14*y + 0 + 0*y**4. Factor o(f).
f**3*(3*f + 2)/3
Suppose 0 = 2*c + 2*h + 28, -17 - 14 = 4*c - h. Let a = c - -11. Determine m so that -11*m**2 - 4*m**2 + 19*m**a - m**3 = 0.
0, 4
Let w = 421088/3 - 140361. Determine p so that -1/3*p**4 + 8/3*p**2 + 4*p - w*p**3 + 0 = 0.
-6, -1, 0, 2
Let h be (-17)/68 + 109/4. Let -104*p**3 - 1011*p**2 - 755*p - h*p**4 - 150 - 130*p - 199*p**3 = 0. Calculate p.
-5, -1, -2/9
Factor 0 + 1776*w**2 + 49*w**3 - 5476/3*w + 1/3*w**4.
w*(w - 1)*(w + 74)**2/3
Let u(b) be the third derivative of b**5/15 + 19*b**4/3 - 26*b**3 - 29*b**2 + 11. Factor u(z).
4*(z - 1)*(z + 39)
Factor -256*c + 7042 - 3*c**2 - 18205 + 200*c - 310*c.
-3*(c + 61)**2
Let i(k) be the third derivative of -392/15*k**3 + 0*k - 159*k**2 + 0 - 7/15*k**4 - 1/300*k**5. Solve i(q) = 0.
-28
Let f(i) be the first derivative of 0*i**2 + i**4 + 5 - 3/20*i**5 + 0*i**3 - 5*i. Let v(t) be the first derivative of f(t). Factor v(y).
-3*y**2*(y - 4)
Let u be (0 + (2 - 2))/(-2). Let o be -14 - (5970/(-420) - (-13 - 2327/(-182))). Let 0*p + o + 1/4*p**2 + u*p**3 - 1/4*p**4 = 0. Calculate p.
-1, 0, 1
Factor -24*h + 69 + 1/3*h**2.
(h - 69)*(h - 3)/3
Let q(y) = y**2 - 2. Let g(f) = 334*f**2 - 37 + 336*f**2 + 7 - 658*f**2 - 3*f. Let s(k) = g(k) - 15*q(k). Suppose s(p) = 0. What is p?
-1, 0
Let w = 111708 - 1005370/9. Suppose -8/9*p**3 - 2/9 - w*p**4 - 4/3*p**2 - 8/9*p = 0. What is p?
-1
Suppose -13*j = -j - 240. Factor -6*l**4 + l**4 - 30*l**2 - j*l + 0*l**4 - 22*l**3 - 5 + 2*l**3.
-5*(l + 1)**4
Let v(s) = s**2 - 90*s + 812. Let r(d) = d**2 - 2*d + 4. Let o(i) = 6*r(i) - 2*v(i). Factor o(k).
4*(k - 8)*(k + 50)
Let y(s) be the first derivative of 4*s**3/15 + 6*s**2/5 + 8*s/5 + 4451. Solve y(w) = 0 for w.
-2, -1
Let j be (-4)/((-28)/(-1)) + 132/42. Let l(n) be the second derivative of 0 + 1/21*n**j + 0*n**2 - 1/42*n**4 - 2*n. Factor l(g).
-2*g*(g - 1)/7
Solve 173/6*b**3 + 30 + 115/3*b**2 + 4/3*b**4 - 197/2*b = 0.
-20, -3, 3/8, 1
Let w(g) be the second derivative of -4/3*g**3 + 1/126*g**7 + 100*g + 0*g**2 - 11/9*g**4 - 1/90*g**6 - 11/30*g**5 + 0. Suppose w(s) = 0. Calculate s.
-2, -1, 0, 6
Let a(w) = -28*w**3 - 45*w**2 + 758*w - 670. Let z(f) = 33*f**3 + 45*f**2 - 765*f + 669. Let s(d) = -6*a(d) - 5*z(d). Factor s(q).
3*(q - 9)*(q - 1)*(q + 25)
Suppose -770*p - 324 = -3404. Factor -i**p + 0 + 0*i - 3/5*i**2 - 7/5*i**3 - 1/5*i**5.
-i**2*(i + 1)**2*(i + 3)/5
Let d be (-6 - -2) + (2 - 0/(-2)). Let y be d/(4/(-6)) + 0. Suppose 673*h**3 + 39*h - 20*h**2 - 669*h**y - 12 - 11*h = 0. Calculate h.
1, 3
Suppose 59 - 59 = -124*s. Let r(t) be the first derivative of s*t**3 - 1/4*t**5 + 0*t - 1 + 5/24*t**6 + 0*t**4 + 0*t**2. What is f in r(f) = 0?
0, 1
Suppose 15 - 43/2*r + 1/2*r**3 + 6*r**2 = 0. What is r?
-15, 1, 2
Suppose 3*w - c + 14 = -5*c, -4*c - 66 = -23*w. Factor -183/8*v**w + 3/4 + 177/8*v.
-3*(v - 1)*(61*v + 2)/8
Let g(i) be the third derivative of i**8/168 - i**7/21 + 3*i**6/20 - 7*i**5/30 + i**4/6 + 10*i**2 + 76. Find r, given that g(r) = 0.
0, 1, 2
Let x(m) be the first derivative of 5/18*m**6 - 6/5*m**5 + 0*m**2 - 10 + m**4 + 0*m + 8/9*m**3. Solve x(a) = 0.
-2/5, 0, 2
Let g(i) be the second derivative of i**6/10 + 3*i**5/4 + i**4 + 1790*i. Solve g(n) = 0 for n.
-4, -1, 0
Let p(l) be the first derivative of -20*l - 4/15*l**3 + 60 + 4*l**2. Factor p(z).
-4*(z - 5)**2/5
Factor -21/5*s**2 + 89/5*s - 4.
-(s - 4)*(21*s - 5)/5
Let k = 83 - 79. Suppose -15*s**2 + 11*s**k + 4*s**4 - 3*s + 4*s**3 + 8*s - 6*s**3 - 3*s = 0. Calculate s.
-1, 0, 2/15, 1
Factor 5/4*n**2 + 905/4*n + 895/2.
5*(n + 2)*(n + 179)/4
Determine d so that 104*d**2 + 9*d**2 + 13*d - 20*d**3 - 56*d**4 + 57*d**4 - 167*d = 0.
0, 2, 7, 11
Let f be 22 - -5 - (-3 + 0). Factor -f*k + 62*k**2 - 58*k**2 + 168*k + 2116 + 46*k.
4*(k + 23)**2
Let v be (-4)/14 + (7 - (-107)/7). Factor 108*r + v + 35 + 29 - 4*r**2 + 26.
-4*(r - 28)*(r + 1)
Let k = -436933/2 + 218469. Factor k*s**3 + 0 - 65*s**2 + 0*s.
5*s**2*(s - 26)/2
Let n(b) = 15*b**4 - 4*b**3 - 20*b**2 - 15*b. Let i(g) = -2*g**4 + g**3 + g**2. Let l(r) = -7*i(r) - n(r). What is y in l(y) = 0?
-5, -1, 0, 3
Let x(c) be the third derivative of c**7/252 - 7*c**6/144 + c**5/72 + 15*c**4/16 + 5*c**3/2 + 5239*c**2. Factor x(q).
5*(q - 6)*(q - 3)*(q + 1)**2/6
Let j(b) be the second derivative of b**4/42 + 2*b**3/7 + 5*b**2/7 + 2731*b. Let j(o) = 0. Calculate o.
-5, -1
Let f = -61 + 93. Solve f*r**3 + 45*r**2 - 49*r**3 + 69*r + 22*r**3 + 21*r = 0.
-6, -3, 0
Let x(u) be the first derivative of -4*u**5/15 + 43*u**4/6 + 44*u**3/9 - 34. Find f, given that x(f) = 0.
-1/2, 0, 22
Let i(r) be the first derivativ