d derivative of -m**6/420 + 6*m**5/35 + 25*m**4/28 + 38*m**3/21 + 4254*m**2. Suppose p(n) = 0. Calculate n.
-1, 38
Let r(c) = 81*c - 311. Let s be r(4). Suppose -n - 5 = -2*x, 3*n + 4*x = 12 + s. What is g in 15/7*g**2 + 0 + 0*g + 18/7*g**n + 3/7*g**4 = 0?
-5, -1, 0
Determine k so that -k**4 - 7803*k - 2*k**4 - 6388*k**3 - 7497*k**2 + 6691*k**3 = 0.
-1, 0, 51
Let l be 2/4 - ((-156)/8)/13. Solve -21 - 12*k**5 - 45*k**4 + 24*k + 48 + 54*k**l - 21 - 12*k**3 - 15 = 0.
-3, -1, 1/4, 1
Let s = -2072201/327 - -6337. Let y = 349/3597 + s. Determine h so that -2/11*h**3 + 2/11*h**2 - y*h**4 - 1/11 + 1/11*h**5 + 1/11*h = 0.
-1, 1
Let l(q) = 3*q**3 + q**2 + q - 321. Let i be l(0). Let n be i/(-108) - (-24)/(-108). Factor 1/4*m**2 - n - 5/2*m.
(m - 11)*(m + 1)/4
Suppose -3*b = b + 4. Let t(q) = 4*q**2 - 4*q. Let v(m) = -m**3 + 1. Suppose -8 = 13*w - 60. Let k(l) = b*t(l) + w*v(l). Factor k(r).
-4*(r - 1)*(r + 1)**2
Let o(v) be the second derivative of -v**4/54 + 19*v**3/27 + 40*v**2/3 - 701*v. Factor o(s).
-2*(s - 24)*(s + 5)/9
Suppose -31/4*x**2 - x**5 - 3 - 59/4*x + 63/4*x**3 + 43/4*x**4 = 0. What is x?
-1, -1/4, 1, 12
Determine b so that 180*b**2 + 2*b**5 - b**3 - 90*b**4 - 2 - 6722*b - 88 - 3*b**3 + 6724*b + 0*b**3 = 0.
-1, 1, 45
Let p = 104 - 110. Let c be (p/16)/((-297)/132). Factor -c*r + 1/3 - 1/6*r**2.
-(r - 1)*(r + 2)/6
Suppose 5*o - 10 = 0, -4*g + 2*o - 2 = -3*g. Suppose -2*y - g*y = 5*d - 228, y = 2. Find w, given that -36*w**2 + 8*w**4 + 12*w**3 - 4*w**4 + d*w**2 = 0.
-2, -1, 0
Suppose 12*m + 12443 = 35*m. Suppose m*w = 520*w + 63. Factor 5/11 + 1/11*s**w + 7/11*s**2 + s.
(s + 1)**2*(s + 5)/11
Let n(d) = 50*d**2 + 699*d + 719. Let v(m) = -65*m**2 - 933*m - 958. Let y(q) = 9*n(q) + 7*v(q). Factor y(g).
-5*(g + 1)*(g + 47)
Factor -41472/11 - 1728/11*v**2 + 96/11*v**3 + 13824/11*v - 2/11*v**4.
-2*(v - 12)**4/11
Let j = -34/44287 + 607529372/398583. Factor 38/3*m**2 - 722/3*m + j - 2/9*m**3.
-2*(m - 19)**3/9
Let p = 37 + -33. Let x(j) be the first derivative of -4*j**3 - j**p - 12*j**2 - 11 + 20 + 11 + 20*j**2. Factor x(g).
-4*g*(g - 1)*(g + 4)
Suppose 17248 = 24*d - 8*d. Let s = 4315/4 - d. Let 0*v**3 + 3/4*v + 3/2*v**2 + 0 - s*v**5 - 3/2*v**4 = 0. What is v?
-1, 0, 1
Let g(f) = -2*f + 55. Let s be g(25). What is p in 8*p + 2*p**2 - p - s*p - 6*p = 0?
0, 2
Let m be (-8)/(-80)*(-2)/(-6). Let w(x) be the third derivative of -1/6*x**4 - 30*x**2 + m*x**6 - 2/3*x**3 + 1/20*x**5 + 1/210*x**7 + 0*x + 0. Factor w(z).
(z - 1)*(z + 1)*(z + 2)**2
Let r be ((-24)/(-18))/(9/81*-6) + (-33)/(-12). Factor -1 + 1/4*z**3 + r*z**2 + 0*z.
(z - 1)*(z + 2)**2/4
Let h(t) = 210*t**2 - 143805*t + 64800130. Let v(w) = 13*w**2 - 8988*w + 4050008. Let c(g) = 4*h(g) - 65*v(g). Find l such that c(l) = 0.
900
Let a(d) = 2*d**2 - 2*d**2 + 923*d - 910*d - 2*d**2 - 18. Let z be a(3). Find t, given that 0 - 1/2*t**4 + 0*t + t**z + 0*t**2 = 0.
0, 2
Let k(r) be the first derivative of -r**5/135 - 5*r**4/27 - 50*r**3/27 - 124*r**2 - 109. Let g(a) be the second derivative of k(a). Factor g(y).
-4*(y + 5)**2/9
Factor -1172889/2 + 1083*j - 1/2*j**2.
-(j - 1083)**2/2
Let f = 43 + -11. Suppose 112*g - 93*g = 57. Factor 46 - 4*y**4 + 62 - 70*y**2 + 18*y**2 - 20*y**2 - f*y**g.
-4*(y - 1)*(y + 3)**3
Solve -1156251 + 1154046 + o**2 - 21*o + 28*o + 2*o**2 + 95*o = 0.
-49, 15
Let z(y) = y**2 - 14*y - 70. Let d be z(18). Suppose 4*t**3 - 13*t**2 - 20*t - 12*t + 5*t**2 + 16*t**d = 0. What is t?
-4, 0, 2
Let g be ((-6)/(-90))/(36/(-45) - 2/(-2)). Factor -1/3*n**3 + 0 - g*n**4 + 5/3*n**2 - n.
-n*(n - 1)**2*(n + 3)/3
Let q(w) be the first derivative of -2*w**5/5 - 13*w**4/9 - 14*w**3/27 + 26*w**2/9 + 32*w/9 + 3427. Solve q(f) = 0.
-2, -1, -8/9, 1
Let f(y) be the second derivative of y**6/120 - y**5/20 - 2*y - 448. Factor f(n).
n**3*(n - 4)/4
Suppose 0*t + 2*k - 16 = -2*t, -3*t + 5*k - 8 = 0. Suppose t*f = 2*z - 4, 64*z = 60*z + 8. Find q such that 0 + 2/5*q**3 - 4/5*q**2 + f*q = 0.
0, 2
Let t be (8/10)/(-4) + (-72)/(-90). Factor 6*q**2 + t*q**3 + 0 + 15*q.
3*q*(q + 5)**2/5
Let t(n) be the first derivative of 24*n + 1/3*n**3 - 143 - 7*n**2. Solve t(k) = 0.
2, 12
Let v(f) = -f**4 + 16*f**3 - 4*f**2 - 54*f - 29. Let z(m) = 29*m**3 - 10*m**2 - 108*m - 59. Let w(a) = 5*v(a) - 2*z(a). Factor w(b).
-(b - 3)**2*(b + 1)*(5*b + 3)
Factor -2/3*x**5 + 0*x - 16/3*x**4 - 32/3*x**2 - 40/3*x**3 + 0.
-2*x**2*(x + 2)**2*(x + 4)/3
Let s(h) = -h + 86. Let l be s(86). Let y(z) be the third derivative of 0*z - 1/96*z**4 - 1/240*z**5 + l + 1/4*z**3 - 13*z**2. Factor y(p).
-(p - 2)*(p + 3)/4
Let a = -9389 + 9398. Let r(i) be the second derivative of -1/15*i**6 + a*i**2 - 3/5*i**5 + 0 - 4/3*i**4 + 2*i**3 + 26*i. What is v in r(v) = 0?
-3, -1, 1
Let x be 58240/13728 + 30/(-33). Solve 2/3*d**2 - x*d + 4 = 0.
2, 3
Let v(w) be the first derivative of 5*w**6/6 + w**5 - 5*w**4/2 - 10*w**3/3 + 5*w**2/2 + 5*w - 31. Factor v(t).
5*(t - 1)**2*(t + 1)**3
Let s = -1513 - -1522. Let p(h) = 4*h**3 - 38*h**2 + 17*h + 14. Let b be p(s). Let -5/2*j**2 - 5/2*j + b = 0. What is j?
-2, 1
Let z(w) be the third derivative of 2*w**7/105 + 2*w**6/15 - 17*w**5/5 + 15*w**4 - w**2 - 156. Suppose z(x) = 0. What is x?
-10, 0, 3
Find t such that 447/5 - 448/5*t + 1/5*t**2 = 0.
1, 447
Let g(t) be the first derivative of -3*t**5 - 92395*t**4/4 - 63242665*t**3 - 129921487425*t**2/2 - 86530028770*t + 96. Factor g(b).
-5*(b + 2053)**3*(3*b + 2)
Let i(x) be the third derivative of -x**7/840 - x**6/90 + x**5/30 + 2*x**4/3 - 73*x**3/2 + 98*x**2. Let t(l) be the first derivative of i(l). Factor t(v).
-(v - 2)*(v + 2)*(v + 4)
Let z(f) be the second derivative of f**9/158760 - f**8/23520 + f**7/13230 + 11*f**4/6 + 2*f. Let r(a) be the third derivative of z(a). Factor r(n).
2*n**2*(n - 2)*(n - 1)/21
Let w(k) = -k**3 - 37*k**2 - 37*k - 21. Let h be w(-36). Let i be (-3 + -12)*h/(-315). Factor -3/7 + 1/7*l**3 - i*l - 1/7*l**2.
(l - 3)*(l + 1)**2/7
Let j be (3051/630)/(144/238) - 8. Let r(f) be the third derivative of 1/12*f**3 - 19*f**2 + 1/32*f**4 + 0*f + 0 + j*f**5. Factor r(p).
(p + 1)*(p + 2)/4
Let p(y) be the third derivative of -y**7/490 - y**6/35 - 13*y**5/140 + 15*y**4/28 + 36*y**3/7 - 551*y**2. Determine c, given that p(c) = 0.
-4, -3, 2
Let t(l) = 2*l**2 - l - 1. Let y(h) = 13*h**2 - 48*h + 435. Let o(i) = i + 1. Let v be o(0). Let b(g) = v*y(g) - 6*t(g). Suppose b(q) = 0. Calculate q.
21
Let w = 280469/40 - 56017/8. Suppose 0 + w*g + 3*g**2 = 0. Calculate g.
-16/5, 0
Let v(f) = 4*f**2 - f - 1. Let l(y) = -21*y**2 - y + 21. Let b(c) = l(c) + 5*v(c). Factor b(d).
-(d - 2)*(d + 8)
Let 2/7*t**2 - 3188/7*t + 1270418/7 = 0. Calculate t.
797
Suppose 33*x + 3 - 69 = 0. Let j = 67/4 - 311/20. Factor -9/5*y - j + 3*y**x.
3*(y - 1)*(5*y + 2)/5
Let y be (-3465)/(-132) - 9/(-12). Let b be (85/153)/(6/y). Factor -b*x**4 + 10*x**3 + 0 + 5/2*x**2 - 10*x.
-5*x*(x - 4)*(x - 1)*(x + 1)/2
Let j(l) be the third derivative of -l**6/24 - 239*l**5/12 + 2435*l**4/8 - 3675*l**3/2 + 61*l**2 - 108. Factor j(g).
-5*(g - 3)**2*(g + 245)
Let a be 8/((-8)/2) - 2/(-1). Suppose -n = -a*n - 2*w - 12, n + 2*w + 8 = 0. Factor -1/2*r**n - 3/2 - 2*r.
-(r + 1)*(r + 3)/2
Factor 1935*k**2 + 11820*k - 6985620 - 981*k**2 - 959*k**2.
-5*(k - 1182)**2
Let u(r) be the third derivative of -r**5/570 - r**4/57 + 15*r**3/19 + 15*r**2 + 17. Determine c so that u(c) = 0.
-9, 5
Let q(l) be the third derivative of l**5/270 + 35*l**4/54 - 73*l**3/9 - 247*l**2. Factor q(h).
2*(h - 3)*(h + 73)/9
Let f(w) be the second derivative of -16*w**2 + 27*w**4 - 6/7*w**7 + w + 5 + 79/5*w**5 + 28/3*w**3 + 22/15*w**6. Solve f(d) = 0 for d.
-1, 2/9, 4
Suppose 48*c + 25*c = -13*c - 37*c. Let o(f) be the third derivative of c*f**3 + 0*f + 2/105*f**5 - 1/140*f**6 - 1/84*f**4 + 0 - 11*f**2. What is m in o(m) = 0?
0, 1/3, 1
Let -847*w**2 - 2457 - 27*w**5 - 95*w**2 + 2193 + 948*w - 21*w**3 + 306*w**4 = 0. Calculate w.
-2, 2/3, 1, 11
Let o = 186 + -180. Factor 26*r + 5*r**3 + 33*r**2 - 7*r**2 - 11*r - o*r**2.
5*r*(r + 1)*(r + 3)
Find q such that -16/9 + q**3 + 20/9*q + 32/9*q**2 = 0.
-2, 4/9
What is n in 1320 + 264/5*n**4 - 9/5*n**5 + 2052*n - 546/5*n**2 - 1449/5*n**3 = 0?
-2, -2/3, 5, 22
Let o(j) be the third derivative of j**7/525 + j**6/300 - 2*j**5/75 - j**4/15 - 6*j**2 + 50*j. Factor o(c).
2*c*(c - 2)*(c + 1)*(c + 2)/5
Sup