culate s.
-2, -1, 22
Let p = -61532 + 61535. Solve 2/7*s**5 - 62/7*s**p - 212/7*s**2 - 16 + 0*s**4 - 264/7*s = 0 for s.
-2, -1, 7
Let b = -81734 + 899110/11. Solve b + 2/11*t**2 - 18/11*t = 0.
3, 6
Let i(f) be the second derivative of 0 - 5/4*f**3 + 13/2*f**2 + 59*f + 1/24*f**4. Find j, given that i(j) = 0.
2, 13
Let z(k) be the first derivative of 25*k**6/9 - 22*k**5 + 191*k**4/6 + 170*k**3/9 - 72*k**2 + 160*k/3 + 1319. Suppose z(c) = 0. Calculate c.
-1, 4/5, 1, 5
Let a(q) be the first derivative of -2*q**6/9 + 44*q**5/15 - 2*q**4 - 632*q**3/9 + 14*q**2/3 + 196*q + 1050. Solve a(k) = 0.
-3, -1, 1, 7
Let t(w) = -11*w**4 + 73*w**3 + 231*w**2 + 83*w - 360. Let l(c) = -35*c**4 + 220*c**3 + 695*c**2 + 250*c - 1080. Let b(i) = -8*l(i) + 25*t(i). Factor b(g).
5*(g - 1)*(g + 3)**2*(g + 8)
Let k = -112 - -116. Factor -242*o**2 - 124*o**3 - 2*o**k - 49*o - 59*o + 45*o - 57*o.
-2*o*(o + 1)**2*(o + 60)
Let i(v) be the second derivative of 0 + 1/2*v**5 + 5*v**2 + 35/6*v**3 - 1/3*v**6 - 5/42*v**7 - v + 10/3*v**4. Determine c so that i(c) = 0.
-1, 2
Find r such that 237*r**3 - 4*r - 175*r**3 + r**2 - r**4 + 3*r + 0*r**2 - 61*r = 0.
-1, 0, 1, 62
Factor 393*m + 82 + 119 + m**2 + 232 - 41.
(m + 1)*(m + 392)
Solve -107/3*v**3 + 1/3*v**4 + 209/3*v**2 - 70 + 107/3*v = 0.
-1, 1, 2, 105
Suppose 6*c = -4*m + c + 27, -m - c + 7 = 0. Let y(t) be the first derivative of -t**3 + t**2 + 1/4*t**4 + m + 0*t. Find g, given that y(g) = 0.
0, 1, 2
Let r = -1359522 + 1359524. Let l = -127 - -2669/21. Determine w, given that -l*w**3 + 0 + 0*w - 2/21*w**4 + 2/21*w**r + 2/21*w**5 = 0.
-1, 0, 1
Let n = -2479 + 2479. Suppose 0 = 2*u - 4*f + 20, 7*u + n*u - 4*f + 20 = 0. Solve -14/11*i**5 + 46/11*i**4 + 8/11*i**2 + u*i - 40/11*i**3 + 0 = 0 for i.
0, 2/7, 1, 2
Suppose -5*z - 393 = -2*o, -3*z = 2*o - 236 - 181. Suppose -4*q + o = 30*q. Find b, given that -27/2*b**4 + 18*b + 39/2*b**2 - q + 21/2*b**5 - 57/2*b**3 = 0.
-1, 2/7, 1, 2
Let d = -1325 - -1330. Let f(x) be the second derivative of -d*x - 1/18*x**4 + 0 + 0*x**2 - 1/30*x**5 - 1/27*x**3 - 1/135*x**6. Factor f(o).
-2*o*(o + 1)**3/9
Factor 118/11*g**3 + 0 + 0*g - 120/11*g**2 - 2*g**4.
-2*g**2*(g - 4)*(11*g - 15)/11
Let u(t) = -17*t**2 + 38*t + 3. Let l(i) = -21*i**2 + 44*i + 4. Let z(b) = -3*l(b) + 4*u(b). Factor z(h).
-5*h*(h - 4)
Let u be (-3)/(-4)*(-128)/(-24)*21/42. Let 10*z**3 + 15/2*z**4 - 55/2*z**u - 10 - 40*z = 0. Calculate z.
-2, -1, -1/3, 2
Let z(p) = 33*p**2 - 956*p - 25. Let h be z(29). Let c be (-3)/15 + (-42)/(-60). Solve 2 + h*w - w**3 + 3/2*w**2 - c*w**4 = 0.
-2, -1, 2
Suppose 0 = -8*h + 4*w + 132 + 115 - 279, 4*w = 32. Factor 0*g + h - 1/5*g**3 + 1/5*g**2.
-g**2*(g - 1)/5
Let -242208 - 4359*z + 4*z**4 - 78319*z - 1396*z**3 - 35642*z + 122488*z**2 = 0. What is z?
-1, 2, 174
Let a(r) be the first derivative of 13/6*r**2 + 1/9*r**3 - 180 + 0*r. Factor a(t).
t*(t + 13)/3
Solve 3839*k**3 - 5*k**4 + 5*k**5 + 3833*k**3 - 7682*k**3 = 0.
-1, 0, 2
Let k = 10573/229702 - 6/10441. Let t(d) be the first derivative of -1/11*d**2 + k*d**4 + 6/11*d + 30 - 2/11*d**3. Factor t(s).
2*(s - 3)*(s - 1)*(s + 1)/11
Let m be (-69)/(-6) - 16*35/56. Factor m - 5/4*r + 1/4*r**2.
(r - 3)*(r - 2)/4
Let i(x) be the second derivative of -59*x**4/8 + 353*x**3/4 + 9*x**2/2 - 2688*x. Factor i(u).
-3*(u - 6)*(59*u + 1)/2
Let j = -132 - -139. Let k(g) = -11*g**3 + 44*g**2 - 39*g - 73. Let n(p) = 6*p**3 - 22*p**2 + 20*p + 36. Let l(y) = j*n(y) + 4*k(y). Let l(x) = 0. Calculate x.
-1, 2, 10
Suppose 0 = -7*c + 12 + 814. Factor -11 + 200*z**2 + 137*z + 19 + c*z - 500*z**3 + 37.
-5*(z - 1)*(10*z + 3)**2
Let a(x) be the third derivative of -x**6/60 - 13*x**5/150 + 13*x**4/30 - 8*x**3/15 - x**2 - 1011. Find c such that a(c) = 0.
-4, 2/5, 1
Let g(b) be the first derivative of -66 + 12/5*b**3 + 0*b - 6/5*b**2 + 21/20*b**4. Factor g(j).
3*j*(j + 2)*(7*j - 2)/5
Factor 0 - 1/5*f**4 + 338/5*f - 34*f**3 - 167/5*f**2.
-f*(f - 1)*(f + 2)*(f + 169)/5
Let j = -32 + 47. Suppose -b + 2*u + u = -3, -5*b + j = u. Suppose 7*c**3 + 4*c + 0*c**3 + 6*c**2 - 2*c**b - 3*c**3 = 0. Calculate c.
-2, -1, 0
Let g be 4/(-34)*14110/(-6640). Solve 1/4*m**2 - g*m + 0 = 0.
0, 1
Let l(i) be the second derivative of 0 + 0*i**2 - 1/12*i**5 - 9/2*i**3 + 1/72*i**6 + 0*i**4 - 14*i. Let v(n) be the second derivative of l(n). Factor v(y).
5*y*(y - 2)
Let r = 6178 - 6174. Let q(l) be the third derivative of 1/150*l**5 + l**2 + 0*l**r + 0 - 1/15*l**3 + 0*l. Solve q(z) = 0.
-1, 1
Factor 5283*w**2 + 4/3*w**4 - 14760*w + 10800 - 164*w**3.
(w - 60)**2*(2*w - 3)**2/3
Let u(z) = -275*z - 2746. Let t be u(-10). Let v(r) be the third derivative of -1/12*r**5 + 0*r + 27*r**2 - 5/8*r**t + 0 + 0*r**3. Factor v(h).
-5*h*(h + 3)
Let y(f) be the first derivative of -f**5 + 220*f**4 - 35945*f**3/3 - 124215*f**2 + 4341. Factor y(u).
-5*u*(u - 91)**2*(u + 6)
Let f = -1167/386 - -17469/4246. Factor 0*n**3 + 0 + 2/11*n**4 - f*n - 14/11*n**2.
2*n*(n - 3)*(n + 1)*(n + 2)/11
Let p(w) be the first derivative of 2*w**3/45 + 2*w**2/5 - 18*w - 664. Factor p(k).
2*(k - 9)*(k + 15)/15
Find i such that 62*i**2 - 536/3*i + 56/3*i**3 + 295/3 - 1/3*i**4 = 0.
-5, 1, 59
Factor 1234/3*h**2 + 4952/9 - 1/9*h**4 + 613/9*h**3 + 7420/9*h.
-(h - 619)*(h + 2)**3/9
Let y(l) be the first derivative of l**4/28 + 10*l**3/7 - 951*l**2/14 - 140*l - 519. Suppose y(k) = 0. What is k?
-49, -1, 20
Find u such that 24/13 + 2*u - 2*u**3 - 22/13*u**2 - 2/13*u**4 = 0.
-12, -1, 1
Let k = -131 + 136. Let y be ((-4)/6 + k/12)/(-1). Factor -1/2*p + y*p**4 + 0*p**3 - 3/4*p**2 + 0.
p*(p - 2)*(p + 1)**2/4
Suppose -5*w = -2*a - 4725, w - 274 = 4*a + 653. Let d = -428 + 431. Factor -947*s**d + 2*s**4 - 4*s**2 + w*s**3 + 2.
2*(s - 1)**2*(s + 1)**2
Let p be (1/(-2))/((-8)/(-528)*11). Let s be 0/(-5 + p + 9). Factor -4*j**5 + 8/3*j**3 + 0*j + 0 + s*j**2 - 4/3*j**4.
-4*j**3*(j + 1)*(3*j - 2)/3
Let g(c) be the second derivative of -c**5/10 - 3*c**4 + 61*c**3/3 - 42*c**2 + 123*c + 2. Determine u, given that g(u) = 0.
-21, 1, 2
Let -1485 + 162*i**2 - 474*i**2 + 158*i**2 + 157*i**2 - 1482*i = 0. What is i?
-1, 495
Factor 171*m - 23*m**3 + 108 + 3*m**4 - 1412*m**2 - 16*m**3 + 722*m**2 + 711*m**2.
3*(m - 12)*(m - 3)*(m + 1)**2
Let q be (-5 + 11)/((-3)/(-2)). Find t such that -3*t - 2*t**3 - 420*t**2 + 5*t**3 + 2 + 419*t**2 - t**q = 0.
-1, 1, 2
Let x(h) be the first derivative of -1/5*h**2 + 0*h - 59 + 8/15*h**3. Factor x(i).
2*i*(4*i - 1)/5
Let v(h) be the first derivative of h**4/8 + 127*h**3/6 + 1873. Factor v(g).
g**2*(g + 127)/2
Let u = -37301 + 37301. Find g, given that 1/2*g**3 - 3/2*g + g**2 + u = 0.
-3, 0, 1
Let h be (26 + -7)/((-1)/(-11)). Let u = 212 - h. Let -1/4 + 1/2*j**u + 1/4*j**4 - 1/2*j + 0*j**2 = 0. Calculate j.
-1, 1
Let -614/3*h**2 + 183*h**3 + 40*h - 17*h**4 + 0 - 4/3*h**5 = 0. Calculate h.
-20, 0, 1/4, 1, 6
Let w(s) be the third derivative of -2*s**6/45 + 23*s**5/30 + s**4 + 85*s**3/3 - 8*s**2 - 5*s. Let n(r) be the first derivative of w(r). Factor n(k).
-4*(k - 6)*(4*k + 1)
Let x(z) be the second derivative of -z**6/27 + 17*z**5/90 - z**4/54 - 17*z**3/27 + 2*z**2/3 + z + 12. Suppose x(d) = 0. Calculate d.
-1, 2/5, 1, 3
Let l(u) be the third derivative of 0 + 151*u**2 + 0*u + 1/30*u**6 - 1/105*u**7 + 2/15*u**5 - 1/6*u**4 - u**3. Factor l(y).
-2*(y - 3)*(y - 1)*(y + 1)**2
Suppose -4*o = 2*x + 282, x + 66 + 69 = 4*o. Let w = 242 + x. Factor -12*t - 4*t**3 - w*t**2 - 36 - 91*t**2 + 214*t**2.
-4*(t - 3)**2*(t + 1)
Let f(q) be the second derivative of -q**6/240 - 11*q**5/160 + 29*q**4/96 + 73*q**3/16 + 45*q**2/4 - 203*q. Find y, given that f(y) = 0.
-12, -3, -1, 5
Let a(y) be the first derivative of -y**3/3 - 7*y**2/2 - 9*y - 77. Let z be a(-3). Factor -9/4 - 3/4*u**2 - 3/4*u**z + 15/4*u.
-3*(u - 1)**2*(u + 3)/4
Let i(c) be the second derivative of -c**7/252 + 31*c**6/90 - 61*c**5/120 - 803*c + 2. Suppose i(h) = 0. Calculate h.
0, 1, 61
Let w(x) be the first derivative of -3*x**2 - 40*x + 120. Let c be w(-7). Find u, given that 4/9 + 2/9*u - 2/9*u**c = 0.
-1, 2
Solve 22/7*l**2 + 8/7*l**4 + 0 + 62/7*l**3 - 20*l = 0.
-7, -2, 0, 5/4
Let c(g) = -10*g**3 + g**2 - g. Let b(r) = -51*r**3 + 91*r**2 - 1854*r. Let h(k) = 4*b(k) - 20*c(k). Solve h(d) = 0 for d.
0, 43
Factor -176*s**3 + 0 + 41/5*s**4 - 1/10*s**5 + 0*s + 320*s**2.
-s**2*(s - 40)**2*(s - 2)/10
Fac