/(z - 5))/2. Solve 4*q**4 - 44*q + 47*q**y - 35*q**3 + 8*q**2 - 20*q**2 - 24 = 0 for q.
-3, -1, 2
Let g(n) be the first derivative of 20/3*n - 191 + 4/9*n**3 + 16/3*n**2 - 2/3*n**4. Factor g(c).
-4*(c + 1)**2*(2*c - 5)/3
Factor -4*x**3 + 34*x**2 + 1413*x - 1531*x + 2*x**3 - 154.
-2*(x - 11)*(x - 7)*(x + 1)
Let g(s) = -6*s**2 - 666*s + 2. Let p be g(-111). Factor -p + 2*z**2 + 2/5*z**3 - 2/5*z.
2*(z - 1)*(z + 1)*(z + 5)/5
Let j(g) = -2*g**2 - 33*g + 140. Let q be j(-20). Let o be q*((-9)/(-54) + (-5)/15). Suppose -16/5*w**3 + 0 - 2/5*w**4 - 32/5*w**2 + o*w = 0. Calculate w.
-4, 0
Let g(d) be the second derivative of 7/16*d**2 + 7 + 6*d + 3/160*d**5 - 7/96*d**4 - 1/16*d**3. Factor g(x).
(x - 1)*(x + 1)*(3*x - 7)/8
Let u be 66/18 + (-105)/63. Factor 4/9*b + 2/9*b**u + 2/9.
2*(b + 1)**2/9
Let h(z) = -z**3 + 3*z**2 + 27*z + 6. Let d be h(-4). Factor d*u**3 + 542 - 5*u**4 - 274 - 268.
-5*u**3*(u - 2)
Let l = -1696/1401 - -2630/1401. Factor -122/3*v + 40*v**2 + 0 + l*v**3.
2*v*(v - 1)*(v + 61)/3
Let d(c) be the first derivative of -c**3/6 + 13*c**2/2 - 25*c/2 + 316. Let d(v) = 0. Calculate v.
1, 25
Let g(s) be the first derivative of -s**5/210 - s**4/12 + 8*s**3/21 + s**2/2 + 4*s - 78. Let c(p) be the second derivative of g(p). Factor c(y).
-2*(y - 1)*(y + 8)/7
Let j be (-45)/36*(5 + 1)*(-5)/50. Suppose -j*q + 1/4*q**5 + 0 + 0*q**4 - 2*q**2 - 3/2*q**3 = 0. Calculate q.
-1, 0, 3
Let u be (66/132)/(1/16). Factor -4*y - 5*y**2 - 6*y + 0*y**2 - 2*y - u + y**2.
-4*(y + 1)*(y + 2)
Let h(g) = -12*g + 50. Let i be h(4). Factor -33*q**i + 5*q**3 + 13*q**2 - 48 - 2*q**3 + 23*q**2 - 48*q.
3*(q - 4)*(q + 1)*(q + 4)
Let w = 190719 + -190715. Factor 8000/11*l - 2/11*l**w + 80/11*l**3 - 20000/11 - 1200/11*l**2.
-2*(l - 10)**4/11
Suppose 28 - 155 + 3*u**3 + 221 - 204*u + 42*u**2 + 101 + 21 = 0. Calculate u.
-18, 2
Suppose 0 = 3*j + 4*r - 0*r + 10, 3*j + 2 = -2*r. Let p be (-132)/(-231) + -26*j/140. Determine u so that -7/5*u + 0 - p*u**2 = 0.
-7, 0
Find q such that 474*q**2 - 477*q**2 - 545*q - 868*q = 0.
-471, 0
Suppose -48 = 4*a, 89*o - 10*a = 84*o - 35*a - 285. Determine x, given that 1/3*x**4 + 0 + 2/3*x - x**2 + 0*x**o = 0.
-2, 0, 1
Let f be (80/(-16))/(6/(-4)*160/96). Factor -31/2*j - 1 + 33/2*j**f.
(j - 1)*(33*j + 2)/2
Let t = 25725 - 25725. Suppose k**2 + t - 3/2*k + 1/2*k**3 = 0. Calculate k.
-3, 0, 1
Let o = -528397/3 - -176133. Factor o*i**2 + 1/3*i**4 - 8/9 - 4/3*i + 11/9*i**3.
(i - 1)*(i + 2)**2*(3*i + 2)/9
Let r(a) = 836 + 2*a**2 - 835 - 2*a**2 + a**2. Let x(q) = -q**2. Let z(l) = 4*l**2 - 4. Let g(c) = -6*x(c) - z(c). Let w(p) = g(p) - 3*r(p). Factor w(k).
-(k - 1)*(k + 1)
Let b be (-3)/(-90)*5 + (-4070)/(-12). Let u = b - 338. Factor 5/3*c**2 + 8/3*c - u.
(c + 2)*(5*c - 2)/3
Determine f so that -28/9*f**3 + 56/9*f**2 + 0 - 8/9*f**4 - 20/9*f = 0.
-5, 0, 1/2, 1
Let u = -7118 - -11594. Factor -6*h**2 + 2*h - u + 4476.
-2*h*(3*h - 1)
Let a(u) = u**4 - 108*u**3 - 225*u**2 + 330*u + 52. Let n(q) = 5*q**4 - 540*q**3 - 1126*q**2 + 1650*q + 286. Let l(x) = 11*a(x) - 2*n(x). Solve l(g) = 0.
-3, 0, 1, 110
Suppose l - 16*c + 12*c + 8 = 0, 0 = -3*l - 4*c + 24. Solve l*a**5 - a**4 + 0*a**5 + a**4 - 4*a**4 = 0 for a.
0, 1
Let z = -25369 + 405911/16. Let x(f) be the first derivative of 1/20*f**5 + 4/3*f**3 + z*f**4 + 9 + 3/2*f**2 + 0*f. Factor x(l).
l*(l + 2)**2*(l + 3)/4
Solve -85*x - 1/6*x**4 + 7/3*x**3 + 0 + 497/6*x**2 = 0 for x.
-17, 0, 1, 30
Let i be (-3 + 0)*(-8)/36. Suppose -15 = 5*x, 0 = 2*r - 9*x + 5*x - 16. Find s such that -1/6*s**r - i*s - 2/3 = 0.
-2
Let w(t) be the first derivative of 4*t**3/9 - 194*t**2/3 - 264*t - 1078. Factor w(m).
4*(m - 99)*(m + 2)/3
Suppose -146 = 5*c - 4*s, -4*c + 5*s - 120 = s. Let n be (-160)/c + (-18)/117. Suppose 2*a**3 - 6*a - 6*a**4 - 5*a + 0*a + 7*a + 2*a**5 + n*a**2 = 0. What is a?
-1, 0, 1, 2
Suppose 0 = -21*s + 13*s + 32. Factor 9*r**s + 210*r + r**5 - 7*r**4 + 128*r**2 + 16*r**3 + 10*r**4 - 66*r + 40*r**3 + 64.
(r + 2)**4*(r + 4)
Let b be -7*6/126*-87. Suppose 3*o + 4*u - b = 0, -16*o - 3*u = -17*o - 12. Solve -3/5*l**4 + 18/5*l**o + 24/5*l + 0 - 36/5*l**2 = 0.
0, 2
Factor 171*m - 126*m - 7065 + 5577 + 3*m**2.
3*(m - 16)*(m + 31)
Let m = -3/13 + 19/26. Let c = -4075 + 4079. Let m*o**3 + 3*o**2 + 0*o - 1/2*o**c + 0 = 0. Calculate o.
-2, 0, 3
Let o(x) be the third derivative of x**6/300 - 23*x**5/150 + 61*x**4/30 - 32*x**3/3 - 1749*x**2. Suppose o(b) = 0. Calculate b.
2, 5, 16
Determine m so that -1304*m + 176*m**3 - 239 - 396*m**2 + 8 + 4*m**4 - 328 - 177 = 0.
-46, -1, 4
Let v(z) = 18*z**3 + 56*z**2 - 17*z + 10. Let o(l) = 10*l**3 + 29*l**2 - 9*l + 6. Let k(x) = 5*o(x) - 3*v(x). Factor k(g).
-g*(g + 6)*(4*g - 1)
Let c(k) = k**3 - 9*k - 4. Let g be c(-3). Let w be g/8*(-12 - -2)*1. Factor 0*o**3 - 3*o**4 + 3*o**2 + 3/2*o - 3/2*o**w + 0.
-3*o*(o - 1)*(o + 1)**3/2
Let r be ((-32)/24)/((-168)/(-63) - 1*12). Suppose r*p**4 + 5/7*p + 11/7*p**2 + 0 + p**3 = 0. What is p?
-5, -1, 0
Let a(n) be the third derivative of -n**5/12 + 15*n**4/2 + 190*n**3/3 - 950*n**2. Factor a(y).
-5*(y - 38)*(y + 2)
Let v(i) be the third derivative of -149*i**5/660 - i**4/132 - 35*i**2 - 2*i. Factor v(u).
-u*(149*u + 2)/11
Suppose 549*z = -434*z + 212*z + 2313. Let h(a) be the first derivative of 10 - 5/14*a**2 + 1/7*a + 4/21*a**z. Suppose h(y) = 0. Calculate y.
1/4, 1
Suppose 0 - 270/7*p + 39/7*p**3 + p**4 - 1/7*p**5 - 9*p**2 = 0. What is p?
-3, 0, 3, 10
Factor 825/4*p - 5/4*p**3 - 45/4*p**2 + 7865/4.
-5*(p - 13)*(p + 11)**2/4
Let y = -106 - -485. Let x = 2665/7 - y. Determine b so that x*b - 2/7*b**2 - 18/7 = 0.
3
Let o = 36621/1730 + -5179/346. Factor o*l + 3/5*l**2 + 2.
(l + 10)*(3*l + 1)/5
Factor -112/9*k + 38/3 - 2/9*k**2.
-2*(k - 1)*(k + 57)/9
Let p(d) = -4*d - 38. Let g be p(-11). Suppose 0 = -7*l + 20 - g. Factor -8*k**l + 4*k**3 - 3 - 13 - 35*k + 7*k + 0.
4*(k - 4)*(k + 1)**2
Let s(c) be the second derivative of -2*c**6/15 - c**5/5 - 289*c - 1. Factor s(m).
-4*m**3*(m + 1)
Let w(j) be the second derivative of -j**4/24 - 10*j**3 - 116*j**2 + 190*j - 5. Find k such that w(k) = 0.
-116, -4
Let f(c) be the third derivative of -37*c**2 + 12/7*c**4 + 0 - 864/7*c**3 - 1/105*c**5 - c. Factor f(q).
-4*(q - 36)**2/7
Suppose 9*j = -3264 + 915. Let t be (-3)/15 - j/855. Solve -4/19*l + 4/19*l**3 + 6/19*l**4 + t - 8/19*l**2 = 0 for l.
-1, 1/3, 1
Let f(v) be the third derivative of v**5/570 - 119*v**4/114 - 160*v**3/19 + 108*v**2 + 5. Determine w, given that f(w) = 0.
-2, 240
Let d(n) be the second derivative of -n**6/90 + 8*n**5/15 + n**3/6 - 15*n**2/2 - 93*n. Let l(p) be the second derivative of d(p). Solve l(s) = 0 for s.
0, 16
Let j(v) = 43*v**4 - 5311*v**3 + 10688*v**2 - 17. Let x(n) = 5*n**4 - 664*n**3 + 1336*n**2 - 2. Let t(q) = 6*j(q) - 51*x(q). Factor t(c).
3*c**2*(c - 2)*(c + 668)
Let n(r) be the third derivative of 0*r**3 + 0*r**5 - 17/780*r**6 - 37*r**2 + 0*r**4 - 1/1365*r**7 + 0*r + 0. Find u, given that n(u) = 0.
-17, 0
Let r(t) be the second derivative of -5/12*t**4 + 0 - 7/2*t**2 - 113*t + 23/12*t**3 + 1/40*t**5. Determine i so that r(i) = 0.
1, 2, 7
Let s(w) be the second derivative of w**4/3 + 212*w**3/3 - 1824*w**2 - 5225*w. What is b in s(b) = 0?
-114, 8
Let k be (-4)/10 - (-1014)/10. Solve -84*j - 120*j**3 - 5*j**5 - 95*j**3 + 365*j**2 + 55*j**4 + 80 - k*j - 95*j = 0.
1, 4
Let w = 46 - 99. Let j = w + 65. Factor -j*g**2 - 68*g - 32 - 28 + 20.
-4*(g + 5)*(3*g + 2)
Let q = 2244 + -2219. Let m be (12/(-60))/((-5)/(q/6)). Suppose m*b**2 + 2/3*b + 2/3 = 0. What is b?
-2
Let o(r) = 21*r - 43. Let d be o(25). Let m be 128/270 + d/(-6507). Solve 2/5*k**2 - m*k**3 - 2/5 + 2/5*k = 0.
-1, 1
Suppose -c + 17*c = 48. Factor c - 9*v - 3*v**3 + 0*v**3 + v**3 + 9*v**2 - v**3.
-3*(v - 1)**3
Suppose -7*s = -91 - 105. Factor 4*a**5 - s*a**2 - 1296*a - 44*a**2 - 58*a**4 + 292*a**3 - 864 - 6*a**4.
4*(a - 6)**3*(a + 1)**2
Let d(g) be the first derivative of g**4 + 2932*g**3/3 + 4384*g**2 + 5840*g - 9987. Find k such that d(k) = 0.
-730, -2, -1
Let k be 14*((-45)/(-21))/3. Suppose 5*b + 10 = 0, x - 5*b - k = -3*x. Factor x - 2/9*l**2 + 2/9*l**3 + 0*l.
2*l**2*(l - 1)/9
Let y(b) be the first derivative of -11*b**4/10 + 82*b**3/5 + 858*b**2/5 - 64*b + 4145. Find i, given that y(i) = 0.
-5, 2/11, 16
Suppose 3*a - 24 = 0, -3*i - 337 = 4*a - 381. Let m(z) 