4/60 + 18*n**2 + 104. Let b(d) be the second derivative of t(d). Factor b(a).
2*a*(a - 1)*(a + 23)/5
Let s = -1877615 + 1877855. Factor s + 3/5*k**3 - 117/5*k**2 + 216*k.
3*(k - 20)**2*(k + 1)/5
Let n be ((-373)/(-6714))/((-2)/42)*-34 - (-7 + 0). Suppose 4900/3 - n*u + 1/3*u**2 = 0. Calculate u.
70
Let l be (-30)/(-40)*8*(-25)/3. Let a be 4/(20/l*-5). Factor 8/9 + 1/9*w**a + 2/3*w.
(w + 2)*(w + 4)/9
Let c = -3032 + 1691. Let g = c - -17469/13. Factor g*m - 2/13*m**2 - 162/13.
-2*(m - 9)**2/13
Let s(b) be the third derivative of b**7/70 - b**6 + 149*b**5/20 - 91*b**4/4 + 36*b**3 - 527*b**2 - 4. Find y, given that s(y) = 0.
1, 2, 36
Find k such that -192*k**5 - 816/5*k**4 + 87/5*k**2 + 45*k**3 + 0 + 6/5*k = 0.
-1, -1/8, 0, 2/5
Let o be -1*202/(-6) + 12/9. Find r such that 92*r + 4*r**3 + 2 + o + 4*r**4 - 111 - 60*r**2 + 34 = 0.
-5, 1, 2
Let q(x) = -x**3 + 2*x**2 + x + 39. Let u(s) = -398*s**3 - 396*s**2 - 2*s + 78. Let w(a) = 2*q(a) - u(a). Factor w(o).
4*o*(o + 1)*(99*o + 1)
Factor -1780 + 117*f + 197*f**2 + 115*f + 193*f - 192*f**2.
5*(f - 4)*(f + 89)
Let y(q) be the third derivative of q**5/140 + 13*q**4/56 + 20*q**3/7 + 712*q**2. Factor y(u).
3*(u + 5)*(u + 8)/7
Suppose -12 = 2*n - 4*g, -9963*n - 18 = -9966*n - 3*g. Factor 0 - 1/4*t**n + 1/2*t.
-t*(t - 2)/4
Let x = -2000 - -2002. Let d be (-288)/(-21) + (-4)/(-14). Determine r, given that -x*r - r + d*r**5 + 18*r**4 - r - 10*r**3 - 18*r**2 = 0.
-1, -2/7, 0, 1
Let s = 693 + -1787. Let i = s + 1096. Factor 3*j**i + 3/4*j**3 - 9/2 + 3/4*j.
3*(j - 1)*(j + 2)*(j + 3)/4
Suppose -k + 0*k = -2*q + 92, -4*k = -5*q + 236. Let g = q + -41. Let 5*w**3 - 20*w + 33*w**g + 108*w**2 + 4*w - 48 - 2*w**3 = 0. Calculate w.
-3, -2/3, 2/3
Factor 0 - 1112/13*b + 2/13*b**2.
2*b*(b - 556)/13
Let j be (-4 - (0 + -3)) + (-6)/(-1). Suppose 5*r = 4*v - j*v + 44, -2*r + 19 = -v. Factor 10*t**3 - 5*t**3 - r*t**3 + 4*t**2.
-4*t**2*(t - 1)
Let n(y) be the third derivative of 0*y**3 + 17/32*y**4 + 0 + 0*y + 1/240*y**5 - 163*y**2. Factor n(z).
z*(z + 51)/4
Let v(t) = -7*t**2 - 64*t + 44. Let z be v(-10). Let k(c) = c**3 + 15*c**2 - 6*c + 162. Let x be k(z). Suppose -3/2*m - 1 - 1/2*m**x = 0. Calculate m.
-2, -1
What is c in 10/3*c - 16/3 - 1/3*c**2 = 0?
2, 8
Let r(i) be the second derivative of i**7/12600 + i**6/720 + i**5/150 - i**4/12 - 19*i**2 + 131*i. Let s(d) be the third derivative of r(d). Solve s(f) = 0.
-4, -1
Let f(n) = -11120*n**2 - 1071*n - 24. Let r(w) = 12 + 5559*w**2 + 51*w - 100*w + 583*w. Let j(d) = -6*f(d) - 13*r(d). Suppose j(c) = 0. Calculate c.
-2/43
Let j(v) = -9*v**4 - 2*v**3 + 67*v**2 - 268*v + 212. Let c(h) = 26*h**4 + 4*h**3 - 201*h**2 + 801*h - 634. Let x(b) = 6*c(b) + 17*j(b). Solve x(a) = 0.
-5, 4/3, 2, 5
Suppose -142 = -130525*p + 130454*p. Solve -p*t - 1/2*t**4 + t**2 - 2*t**5 - 1/2 + 4*t**3 = 0.
-1, -1/4, 1
Let f(z) be the first derivative of 6*z**5/55 + 259*z**4/22 + 670*z**3/33 - 427*z**2/11 - 340*z/11 - 1369. What is m in f(m) = 0?
-85, -2, -1/3, 1
Let c be 2 + 65151/99 - 10/(-2). Let t = -665 + c. Factor t*r**3 + 0 + 6/11*r**2 + 9/11*r.
r*(r + 3)**2/11
Let m(w) be the first derivative of w**3/6 + 23*w**2/4 - 70*w - 774. Find a such that m(a) = 0.
-28, 5
Suppose v - 5*p - 5 = -0*v, -5*p = -3*v + 15. Suppose 2*a = -4*y + v + 7, 3*y - 2*a = 2. Factor -3/4*r + 1/2*r**y + 0 + 1/4*r**3.
r*(r - 1)*(r + 3)/4
Suppose 6 = 2*w - 0. Suppose w*b = 4*c, -2 = -3*b + 3*c + 1. Factor 5*a**3 + 21*a**2 + a**b - 5*a + 10 + 4*a**4 - 7*a**2 - 29*a**2.
5*(a - 1)**2*(a + 1)*(a + 2)
Let y(d) be the first derivative of -32*d**5/45 - 143*d**4/18 - 62*d**3/3 + 2*d**2 + 2084. What is m in y(m) = 0?
-6, -3, 0, 1/16
Let s(j) = -j - 4. Let w be s(-6). Let h be (-154)/(-196) - (9*-1 + 1653/174). Solve -9/7*a**3 - 13/7*a - h - 20/7*a**w = 0 for a.
-1, -2/9
Let h(o) be the first derivative of o**4/3 + 8*o**3/3 - 8*o**2/3 - 32*o - 993. Factor h(f).
4*(f - 2)*(f + 2)*(f + 6)/3
Let o(z) be the second derivative of z**4/12 + 2*z**3 - 31*z**2 - 125*z. Let v be o(4). Find n, given that -1/3*n + 1/3*n**v - 2/3 = 0.
-1, 2
Let o(m) = m. Let r(j) = -4*j**2 - 24*j. Let i(x) = 24*o(x) + r(x). Let v(f) = 5*f**2 + f - 2*f - 22*f**2. Let s(c) = -18*i(c) + 4*v(c). Factor s(n).
4*n*(n - 1)
Let w(o) = -30*o - 6. Let d be w(-3). Let v = d - -55. Factor p**2 - p + 137*p**5 + 3*p**2 - 4 + 8*p**3 - v*p**5 - 5*p.
-2*(p - 2)*(p - 1)*(p + 1)**3
Let k = 365/18 - 703/36. Let f(r) be the first derivative of -k*r**4 - 14 - 27*r - 45/2*r**2 - 7*r**3. Factor f(o).
-3*(o + 1)*(o + 3)**2
Let q(u) be the third derivative of 1/6*u**3 + 0*u + 129*u**2 + 1/60*u**5 + 1/12*u**4 + 0. What is w in q(w) = 0?
-1
Let u(q) be the third derivative of -q**7/210 - 7*q**6/20 - 29*q**5/5 + 989*q**4/12 - 529*q**3/2 + q**2 + 40. Determine y, given that u(y) = 0.
-23, 1, 3
Suppose -189 + 183 = -4*y + q, -4 = 3*y - 5*q. Let o(p) be the third derivative of 1/60*p**4 + 0*p**3 + 0 + 1/150*p**5 + 0*p - 20*p**y. Factor o(k).
2*k*(k + 1)/5
Let l(b) be the third derivative of b**6/480 - 707*b**5/48 + 1041941*b**4/32 - 1040763*b**3/8 + b**2 + 725*b. Determine s so that l(s) = 0.
1, 1767
Suppose -4*m + 19 = 2*z - m, 2*z - 7 = m. Suppose 4 = 2*o + z*a, 0 = -3*o - o - 4*a + 8. Suppose 4 + 0*d**3 - 4*d**3 - 7*d - 4*d - d + 12*d**o = 0. Calculate d.
1
Let p(h) be the first derivative of -h**6/2 + 6*h**5/5 - 2*h**3 + 3*h**2/2 + 2401. Factor p(x).
-3*x*(x - 1)**3*(x + 1)
Let m(z) = -2*z**2 + 0*z**2 + 0*z**2 - 2*z + 5 - z**3 + z**2. Let n be m(0). Suppose n*r**3 - 5*r**4 - 65*r**2 - 2*r**3 - 60*r - 20 - 33*r**3 = 0. Calculate r.
-2, -1
Suppose 42*m = 54*m + 36. Let q be (m*6/45)/(420/(-175)). Find d such that 1/3*d**4 - 1/3*d**2 + 0*d + 0 - q*d**3 + 1/6*d**5 = 0.
-2, -1, 0, 1
Let g(w) be the first derivative of 129 + 124/35*w**5 + 0*w**2 + 0*w**3 + 0*w - 8/7*w**4 + 8/21*w**6. Factor g(y).
4*y**3*(y + 8)*(4*y - 1)/7
Let m(h) be the third derivative of h**6/120 - 11*h**5/30 + 9*h**4/4 + 21*h**3/2 + 117*h**2. Let c be m(19). Factor 3/2*s**2 - c + 3*s - 3/4*s**3.
-3*(s - 2)**2*(s + 2)/4
Factor 5*j**2 + 103993*j + 10172212 - 89223*j + 735433.
5*(j + 1477)**2
Let r be -8 + 37/(-4)*(10/(-7) + (-993)/(-2317)). Factor -25/2 + 177/4*g - 33*g**2 + r*g**3.
(g - 25)*(g - 1)*(5*g - 2)/4
Let n(k) be the second derivative of 5*k**4/12 - 5345*k**3/6 + 4038*k. Factor n(s).
5*s*(s - 1069)
Suppose -38*l + 42 = 2*l - 19*l. Factor 18/7*g + 81/7 + 1/7*g**l.
(g + 9)**2/7
Let v(t) be the second derivative of 2*t**2 - 2*t + 1/3*t**4 - 4/3*t**3 + 7. Suppose v(n) = 0. Calculate n.
1
Let b(y) be the third derivative of y**7/105 + 3*y**6/20 - 6*y**5/5 - 19*y**2 + 9*y. Let b(x) = 0. Calculate x.
-12, 0, 3
Let v = 75 + -95. Let m(b) = b**2 + b - 1. Let c(i) = -4*i**4 - 32*i**3 - 60*i**2 - 44*i - 20. Let z(r) = v*m(r) + c(r). Factor z(a).
-4*a*(a + 2)**2*(a + 4)
Determine z so that 24/7*z**4 + 16/7*z + 4/7*z**5 + 48/7*z**2 + 52/7*z**3 + 0 = 0.
-2, -1, 0
Solve -162*q**4 - 174*q**4 + 214*q**3 + 86*q**3 + 144*q - 424*q**2 - 163*q**4 + 517*q**4 = 0.
-18, 0, 2/3
Suppose 277*p - 245 = 309. Let c(r) = r**3 + 3*r**2 - r. Let w be c(-3). Find l such that 0 - 10*l**p - 45*l**w - 24*l**4 + 34*l**4 + 0 + 45*l**5 = 0.
-1, -2/9, 0, 1
Let j(o) = 13*o**2 - o - 2. Let r be j(1). Let a be r/(-44)*2596/(-110) + -5. Determine m so that -2/11*m**3 + 0 - 2/11*m - a*m**2 = 0.
-1, 0
Let z(k) be the first derivative of -k**7/210 - k**6/120 + k**5/60 + k**4/24 + k**2/2 - 4*k + 47. Let n(r) be the second derivative of z(r). Factor n(h).
-h*(h - 1)*(h + 1)**2
Let k be (-6 - -2)/(38*(-40)/1140). Find c such that 12/5 + 34/5*c + 6/5*c**k + 6*c**2 - 2/5*c**4 = 0.
-1, 6
Let u(w) be the third derivative of w**5/30 - 53*w**4/3 + 832*w**3/3 - 5021*w**2. Let u(k) = 0. Calculate k.
4, 208
Let m(l) be the second derivative of -2/3*l**3 - 1/18*l**4 - 38*l + 7/3*l**2 + 0. Solve m(z) = 0 for z.
-7, 1
Let g be (-34)/4 - (46 - 49)/(2/6). Let n(a) be the first derivative of -11*a**2 - 4*a**3 - 14 - g*a**4 - 12*a. What is o in n(o) = 0?
-3, -2, -1
Let j(k) be the third derivative of -k**6/24 - 13*k**5/12 - 15*k**4/2 + 9*k**2 - 102*k. Factor j(r).
-5*r*(r + 4)*(r + 9)
Let s = 1/1170 + 2317/26910. Let v be 10/(-30) - (-245)/483. Let 0*m**2 + s*m**4 + 0 + 0*m - v*m**3 + 2/23*m**5 = 0. What is m?
-2, 0, 1
Suppose 0 = 4*x - 72 + 88. Let h be 20/x - 3*50/(-15). Solve 0*