s i?
80
Let z = -263 + 265. Suppose 76*g**2 + 1029 + 3*g**3 + 5569*g - 5128*g - 13*g**z = 0. What is g?
-7
Let w(u) be the third derivative of -u**6/900 + 713*u**5/150 - 127211*u**4/20 + 1142761*u**3/45 - 37*u**2 - 20*u - 1. Factor w(l).
-2*(l - 1069)**2*(l - 1)/15
Let a be (3/(-3) + 1)/(-1). Suppose s + 3*s - 17 = -3*n, -2*n - 2 = a. Factor -s*v**2 + 3*v + 10 - 11*v + 3*v.
-5*(v - 1)*(v + 2)
Let w be -274*(105/(-14) - -7). Let r = 413/3 - w. Factor -1/3*g**3 + 2/3*g**4 + 1/3*g**5 - r*g**2 + 0 + 0*g.
g**2*(g - 1)*(g + 1)*(g + 2)/3
Let y(p) be the second derivative of p**4 + 191*p - 2/15*p**6 + 0 + 1/5*p**5 - 10/3*p**3 + 4*p**2. Determine r, given that y(r) = 0.
-2, 1
Let w = 51630 - 51628. Let 2*n**w + 3/4*n + 3/4*n**3 - 1/2 = 0. Calculate n.
-2, -1, 1/3
Let f = 1372669/73536 + 1/24512. Determine o, given that 3*o**2 + 4 - f*o = 0.
2/9, 6
Let l be 353/2824*(56 - -2). Suppose d - 5*r - 13 = -6, 3*r = 4*d - 28. Factor 3/2 + d*a**2 - l*a.
(4*a - 3)*(7*a - 2)/4
Let p = -1002 + 1838. Let h = 840 - p. Find a such that -3/2 - a + a**3 - 1/2*a**h + 2*a**2 = 0.
-1, 1, 3
Let j be 1/(-2) + (-6)/(-12). Let w = 2 + j. Factor -4*q + q - 2*q**2 + 4*q**2 + q**w.
3*q*(q - 1)
Let h(w) be the first derivative of 5*w**5/3 - 85*w**4/4 + 484*w**3/9 + 86*w**2 + 112*w/3 - 1913. Let h(m) = 0. What is m?
-2/5, 4, 7
Suppose -3 = -2*i - 3*n, -9 = -2*i + 9*n - 6*n. Solve 70*a**2 - 9 + 6 + i*a**3 + 19*a**3 + 11 + 56*a = 0 for a.
-2, -1, -2/11
Let b(p) be the third derivative of -p**7/945 - 28*p**6/135 + 7*p**5/270 + 389*p**4/54 - 224*p**3/9 + 19*p**2 - 80*p - 2. Suppose b(h) = 0. What is h?
-112, -3, 1, 2
Suppose -18*j = -21*j. Determine n, given that -3*n**2 - 4*n**3 + 15*n + n**3 + 0*n - 9 + j*n = 0.
-3, 1
Let t = 1001287 - 1001281. Factor 28/3 + 2/3*n**2 - t*n.
2*(n - 7)*(n - 2)/3
Suppose 0 = 2*v - 5*v + 1494. Let c be (-2)/13 - v/(-26). Factor -2*t**4 + t**4 - 2*t - c*t**2 - 6*t**3 + 3*t**4 + 25*t**2.
2*t*(t - 1)**3
Let o(g) be the second derivative of g**5/120 - 2105*g**4/24 + 4431025*g**3/12 - 9327307625*g**2/12 - 9393*g. Factor o(b).
(b - 2105)**3/6
Let w be ((-1390)/417)/(6/2 + 17/(-3)). Factor -5/2*d**3 + 5/2*d**2 + 5/4*d - 5/4 + w*d**5 - 5/4*d**4.
5*(d - 1)**3*(d + 1)**2/4
Let l = 105 + -105. Let v be (-5 + l)*3/(-12)*4. Factor -v*w**2 + 14*w**3 - 6*w**3 + 4*w**4 - 8*w + w**2.
4*w*(w - 1)*(w + 1)*(w + 2)
Solve 24528*u - 5095 + 35353 + 742*u**2 - 4613*u - 248*u**2 + 10835*u + 2*u**3 = 0 for u.
-123, -1
Let o(j) = 45126*j - 45124. Let u be o(1). Suppose -217/2*p**u - 68*p + 49/2*p**3 - 10 = 0. Calculate p.
-2/7, 5
Let q(r) be the third derivative of 14*r**4 - 11/70*r**7 - 36/5*r**5 - 8*r**3 + 17/10*r**6 - 45*r**2 + 0*r + 0. Let q(h) = 0. What is h?
2/11, 2
Suppose -44 + 58 + 226 = 80*t. Let 1/5*n**5 - 8/5*n**4 + 16/5*n**t + 0 + 0*n**2 + 0*n = 0. Calculate n.
0, 4
Let f be (3/15 + -1)/(27/(102465/(-462))). Factor -f*a + 2/7*a**2 + 44/7.
2*(a - 22)*(a - 1)/7
Factor -188*x**3 + 196*x**2 - 58*x + 246*x - 192 - 4162*x**4 + 4158*x**4.
-4*(x - 1)**2*(x + 1)*(x + 48)
Suppose -6*m + 3 + 33 = 0. Suppose -3*z + 15 = 3. What is b in 2*b**4 - m*b**z - 8*b**4 + 16*b**3 + 2*b**2 - 6*b**2 = 0?
0, 1/3, 1
Let j be -85*(-2116)/313973 + (-2)/73. Factor -24/11*n**3 - 30/11*n**2 + 0 - j*n**4 - 12/11*n.
-6*n*(n + 1)**2*(n + 2)/11
Let l(s) be the first derivative of -s**6/720 + 5*s**5/8 - 1875*s**4/16 + 46875*s**3/4 - 66*s**2 - 29. Let o(z) be the second derivative of l(z). Factor o(k).
-(k - 75)**3/6
Let d(s) be the first derivative of 2*s**3/3 - 28*s**2 + 54*s + 7355. Find i such that d(i) = 0.
1, 27
Suppose -70*p + w - 24 = -72*p, -5*w + 183 = 4*p + 63. Let c be 8/14*(-8)/(-12). Solve -2/21*s**3 - c*s**2 + p - 8/21*s = 0.
-2, 0
Let p = -879/1015 + 167/145. Factor p*r**2 + 66/7*r + 64/7.
2*(r + 1)*(r + 32)/7
Factor -d**5 - 6*d**4 + 22*d**2 + 5003*d**3 + 814 + 158 - 4931*d**3 - 76*d**2 - 567*d.
-(d - 3)**3*(d + 3)*(d + 12)
Determine c so that 0*c + 111/5*c**3 + 9/5*c**4 + 36/5*c**2 + 0 = 0.
-12, -1/3, 0
Suppose 698/5*d**2 + 0 - 7/10*d**4 + 38*d + 229/10*d**3 = 0. What is d?
-5, -2/7, 0, 38
Let q(r) = r**2 + r - 85. Let h be q(0). Let d = h - -87. Factor 5*x**2 - 2*x**2 - d*x + 4*x + 9 + 10*x.
3*(x + 1)*(x + 3)
Find r, given that 328*r + 10097 + 368*r - 7*r**2 + 11*r**2 + 20179 = 0.
-87
Let z(b) be the second derivative of 17*b**5/12 - 43*b**4/18 + b**3/18 + 5340*b. Factor z(v).
v*(v - 1)*(85*v - 1)/3
Let f(h) = 23*h**3 + 1474*h**2 - 275282*h - 5. Let r(o) = -14*o**3 - 736*o**2 + 137641*o + 3. Let g(m) = 3*f(m) + 5*r(m). Factor g(t).
-t*(t - 371)**2
Suppose -368/3*x**4 - 5764*x**3 + 0 - 2/3*x**5 - 16562/3*x - 33488/3*x**2 = 0. Calculate x.
-91, -1, 0
Let b(r) be the third derivative of -1/30*r**5 + 4/3*r**3 - 100*r**2 + 0 + 1/20*r**6 - r**4 + 0*r. Factor b(h).
2*(h - 2)*(h + 2)*(3*h - 1)
Let y be 3/(-15 - -18 - (-2)/(-1)). Find b such that -42 - 34 - 35*b**y - 38 + 114 + 2040*b**2 - 580*b = 0.
0, 2/7, 58
Let t(y) be the first derivative of 2/39*y**3 + 8/13*y**2 - 18/13*y + 79. What is u in t(u) = 0?
-9, 1
Factor -608*u - 4/3*u**3 + 84*u**2 + 3520/3.
-4*(u - 55)*(u - 4)**2/3
Let m(y) = -520*y - 8317. Let f be m(-16). Let -f*p**3 + 96/5*p - 96/5 + 18/5*p**2 - 3/5*p**4 = 0. Calculate p.
-4, 1, 2
Let u(v) be the second derivative of -v**4/22 + 4942*v**3/33 + 3296*v**2/11 - 6226*v. Solve u(y) = 0.
-2/3, 1648
Let z(r) be the first derivative of r**6/60 - 2*r**5/5 + 15*r**4/4 - 18*r**3 - 4*r**2 - 35. Let k(b) be the second derivative of z(b). Factor k(i).
2*(i - 6)*(i - 3)**2
Let u(h) be the second derivative of 8*h**6/15 + 53*h**5/5 + 101*h**4/3 + 44*h**3/3 + 723*h + 1. Factor u(a).
4*a*(a + 2)*(a + 11)*(4*a + 1)
Let d(u) = -u**3 - 64*u**2 + 520*u + 1636. Let i be d(-71). Let 0*r + 1/3*r**4 - 4/3*r**2 - 1/3*r**5 + 0 + 4/3*r**i = 0. Calculate r.
-2, 0, 1, 2
Let h = 3094 - 1468. Let x = -8094/5 + h. Determine g, given that -3/5*g**3 - 18/5*g**2 - 24/5 - x*g = 0.
-2
Suppose b = 4*b - 12. Suppose -r + b*r = -9, -h = -r - 5. Determine q so that 0*q**h - 35*q**3 + 5 + 100*q - 65*q - 5*q**2 = 0.
-1, -1/7, 1
Let h(w) be the first derivative of 515/4*w**2 - 175/2*w**3 - 139 - 85*w + 185/8*w**4 - 1/2*w**5. Factor h(s).
-5*(s - 34)*(s - 1)**3/2
Find z such that 381924/5 + 1236/5*z + 1/5*z**2 = 0.
-618
Let m(o) be the second derivative of o**4/3 + 432*o**3 + 209952*o**2 + 10*o + 5. Solve m(y) = 0 for y.
-324
Let l(b) be the third derivative of 1/60*b**6 - 2 + 0*b - 11/15*b**5 - b**2 + 0*b**3 + 121/12*b**4. Let l(t) = 0. What is t?
0, 11
Let h be (-3328)/(-320) + 3*-4 + 2. Let x(o) be the first derivative of 8*o + h*o**5 - 22*o**2 + 35/2*o**3 + 28 - 37/8*o**4. Determine l, given that x(l) = 0.
1/4, 1, 4
Let k(v) = -37*v + 74. Let j be k(12). Let w = -4808/13 - j. Factor w - 2/13*r + 2/13*r**3 - 2/13*r**2.
2*(r - 1)**2*(r + 1)/13
Let d(r) = 2*r + 16. Let w be d(-4). Factor 2*c**2 + w - 10*c - c**4 + 3*c - 3*c**3 + 19*c.
-(c - 2)*(c + 1)*(c + 2)**2
Let c be -2*(-821)/(-6) + (-14)/(-21). Let n be ((-4)/8)/((c/(-14))/(-13)). Factor 1/6 + 1/6*f**2 - n*f.
(f - 1)**2/6
Let b(x) be the second derivative of x**7/6720 - 7*x**6/1920 + 3*x**5/160 - x**4/4 + x**3/6 - 2*x - 5. Let k(i) be the third derivative of b(i). Factor k(h).
3*(h - 6)*(h - 1)/8
Determine n, given that -324 - 11066*n**2 - 239 + 19*n + 11063*n**2 - 367*n - 121 = 0.
-114, -2
Suppose 2*w - 2*j - 78 = 0, -225 = -3*w + 2*j - 121. Determine a so that 116/5*a**2 + 28/5 - w*a - 14/5*a**3 = 0.
2/7, 1, 7
Let y(u) be the first derivative of 3*u**5/10 - 6*u**4 + 65*u**3/2 - 75*u**2/2 + 548. Factor y(s).
3*s*(s - 10)*(s - 5)*(s - 1)/2
Let w(b) be the third derivative of -b**7/210 - 7*b**6/120 + b**5/15 + 7*b**4/6 + 519*b**2 - 2*b + 2. Suppose w(r) = 0. Calculate r.
-7, -2, 0, 2
Let o be 1 + (-57)/(-51) + 6/(-51). Factor -47 + 62 + 31*i**3 - 7*i**3 + 3*i**4 + 48*i + 54*i**o.
3*(i + 1)**3*(i + 5)
Let v be ((-8)/(-3))/((-74)/111). Let z be ((-6)/v)/(48/256). Factor -4*x**2 - 108 + 108 - z*x.
-4*x*(x + 2)
Let k(z) = z**2 + 2312*z + 90891. Let t be k(-40). Suppose -15/2*j**3 - 166*j**2 + t - 43/2*j = 0. Calculate j.
-22, -1/3, 1/5
Let t(i) = -4*i**4 + 105*i**3 + 403*i**2 + 300*i. Let h(n) = -18*n**4 + 419*n**3 + 1611*n**2 + 1200*n. Let l(w) = 6*h(w) - 26*t(w). Find p, given that l(p) = 0.
-50, -3, -1, 0
Let k(f) = -24*f**3 - 75*f**2 - 54*f + 171. Let z(i) = i**3