*n**2 + 95/6*n**3 + 1/6*n**4 + 5292.
(n + 2)*(n + 9)*(n + 42)**2/6
Let d(p) be the third derivative of 0*p - 4 - 1/50*p**5 - 11/12*p**4 - 7*p**2 - 6/5*p**3. Let d(s) = 0. Calculate s.
-18, -1/3
Let c(r) be the third derivative of 1/49*r**7 + 1/1176*r**8 + 43/70*r**5 + 67/420*r**6 + 12/7*r**3 + 0 - 27*r**2 + 4/3*r**4 + r. Solve c(h) = 0.
-9, -2, -1
Let n be -3*(-10)/45*-6 - -16. Find w, given that -4 - 11*w**3 + n*w**3 + 22*w**2 - 7*w - 24*w**2 = 0.
-1, 4
Let t(y) be the third derivative of y**6/140 - 17*y**5/70 + 25*y**4/14 + 176*y**3/7 - 3597*y**2. Factor t(w).
6*(w - 11)*(w - 8)*(w + 2)/7
Suppose 0 = 4*w - 3*m - 45, -4*w + 50 = 3*m - 25. Suppose 3*n - w*n = -24. Find b such that 24/7*b - 8/7 + n*b**2 = 0.
-2, 2/7
Let q(l) = l**2 + 14*l. Let w(z) = z**2 + 29*z. Let s(h) = 5*q(h) - 2*w(h). Let s(t) = 0. Calculate t.
-4, 0
Let j(n) = -124*n**2 - 216*n + 51. Let x(o) = 4*o**2 + o - 1. Let f(m) = j(m) + x(m). Suppose f(p) = 0. Calculate p.
-2, 5/24
Let f(v) = -4*v**3 + 2892*v**2 - 5808*v + 2886. Let s(g) = 13*g**3 - 8676*g**2 + 17439*g - 8657. Let x(d) = -14*f(d) - 4*s(d). Suppose x(i) = 0. Calculate i.
1, 1444
Let t(z) = 68*z - 273. Let u be t(4). Let i(o) = o**2 + 1. Let q(s) = 2 + 0 + 4*s + 4 + 2*s**4 - 4*s**3 + 4*s**2. Let c(d) = u*q(d) + 6*i(d). Factor c(b).
-2*b*(b - 2)*(b - 1)*(b + 1)
Let b = 35386/10215 + -131/2043. Factor b - 18/5*x - 101/5*x**2 + 6/5*x**3.
(x - 17)*(2*x + 1)*(3*x - 1)/5
Let c(j) be the second derivative of j**7/168 - 11*j**3/6 + 3*j**2/2 + 302*j. Let z(q) be the second derivative of c(q). Factor z(h).
5*h**3
Suppose 8 = -8*v + 88. Suppose -5*n - 60 = -v*n. Solve 0*z**4 + 2*z + 8*z**2 + 8*z**4 - 4*z**5 + 6*z**5 + n*z**3 = 0.
-1, 0
Let 69*t + 0 + 44*t**2 - 49*t - 24 = 0. Calculate t.
-1, 6/11
Let k(v) be the second derivative of v**5/130 - 11*v**4/39 + 3*v**3/13 + 252*v**2/13 - 15*v - 204. Factor k(r).
2*(r - 21)*(r - 4)*(r + 3)/13
Let l(h) be the first derivative of 4/9*h**2 + 0*h - 2/45*h**5 + 102 - 2/9*h**4 + 2/27*h**3. Solve l(t) = 0.
-4, -1, 0, 1
Let w(b) be the first derivative of 4*b**3/15 - 1302*b**2/5 - 9372. Factor w(v).
4*v*(v - 651)/5
Let g(d) be the second derivative of 5/6*d**3 - 1/48*d**4 + 21/8*d**2 + 3*d - 1. What is h in g(h) = 0?
-1, 21
Let u(o) be the first derivative of 4/15*o**3 + 59 + 24/5*o + 2*o**2. Factor u(k).
4*(k + 2)*(k + 3)/5
Let v(k) = -k**2 + 6*k - 2. Suppose -a + 3*q = 5, -2*a = 5*q - q - 20. Let p be v(a). Factor 2*f**2 + f**2 - 9*f**3 + p*f**3 + 6*f**3.
3*f**2*(f + 1)
Let c(f) be the first derivative of -f**4/2 - 26*f**3/3 + 120*f**2 + 3168*f + 481. Factor c(u).
-2*(u - 11)*(u + 12)**2
Let -15/2*r**2 + 1/4*r**4 - 35/4 - 17*r + r**3 = 0. Calculate r.
-7, -1, 5
Let v(a) = -a. Let x be v(-5). Let z(q) be the second derivative of 0 - 1/5*q**x + 1/3*q**4 + 10/3*q**3 + q + 6*q**2. Determine o so that z(o) = 0.
-1, 3
Suppose 1098 - 1102 = -4*o, -o - 3 = -2*q. Factor 0 + 36*w + 4/7*w**q.
4*w*(w + 63)/7
Let s(v) = -4*v**3 + 43*v**2 - 2*v - 7. Let c be s(12). Let a = c - -753. Factor 10/3*w**2 + 14/3*w + 2/3*w**3 + a.
2*(w + 1)**2*(w + 3)/3
Let f be 3/((24/(-100))/((-56)/5)). Suppose f = -24*y + 28*y. Factor 25*x**4 + 11*x**2 + 6*x**2 - y*x**3 + x**5 - 6*x**5 - 2*x**2.
-5*x**2*(x - 3)*(x - 1)**2
Let s(f) be the third derivative of 35 + f**2 + 1/168*f**7 - 5/12*f**3 + 1/96*f**6 - 25/96*f**4 - 1/16*f**5 + 0*f. Suppose s(m) = 0. What is m?
-1, 2
Suppose 5*y = -4*v - 2, 38118*v - 38121*v + 16 = -5*y. Factor 18/7*l**3 + 22/7*l**v - 32/7*l - 8/7.
2*(l - 1)*(l + 2)*(9*l + 2)/7
Let f(v) be the third derivative of 4*v + 5*v**2 - 1/105*v**5 + 0 + 13/21*v**4 + 18/7*v**3. Let f(x) = 0. Calculate x.
-1, 27
Let t = 133167/55 - 2421. Let m(y) be the first derivative of 3 + 0*y**2 + 6/11*y**4 + t*y**5 + 16/33*y**3 + 1/33*y**6 + 0*y. Solve m(l) = 0.
-2, 0
Solve 5416*i**2 + 31459*i**2 + 819*i**3 + 167265*i + 16*i**3 + 5*i**4 + 131220 = 0.
-81, -4, -1
Let y be 15/10 - 1/(-2). Factor -76*z**2 - 5*z + y - z**4 - 75*z**2 + 154*z**2 + z**3.
-(z - 1)**3*(z + 2)
Let c(y) be the second derivative of y**4/4 - 1140*y**3 + 1949400*y**2 + 2388*y. Solve c(i) = 0.
1140
Let c(n) be the first derivative of 1034*n**3/9 + 12*n**2 - 2*n/3 + 1833. Factor c(p).
2*(11*p + 1)*(47*p - 1)/3
Let g(m) = -11*m**4 - 57*m**3 + 59*m**2 - 133*m + 72. Let p(c) = -5*c**4 - 21*c**3 + 29*c**2 - 67*c + 36. Let x(h) = -2*g(h) + 5*p(h). Factor x(j).
-3*(j - 4)*(j - 1)**2*(j + 3)
Suppose 1099*l + 418*l = -3144*l + 13983. Factor -384/7 + 96/7*o - 6/7*o**l + 24/7*o**2.
-6*(o - 4)**2*(o + 4)/7
Let t(i) be the first derivative of i**3/12 + 5*i**2/2 + 51*i/4 - 197. Let t(p) = 0. Calculate p.
-17, -3
Suppose 2*z - 13 = 3*x, 3*z - 54*x - 15 = -51*x. Let h(y) be the first derivative of -11 + 44/3*y**3 - 32*y - 3*y**4 + 12*y**z. Solve h(g) = 0.
-1, 2/3, 4
Let o = 971381/2 + -485647. Determine a, given that -39/2*a**3 + 3/2*a**4 - o*a**2 + 0 - 45/2*a = 0.
-1, 0, 15
Let i(q) be the third derivative of -q**6/240 + 1721*q**5/40 - 2961841*q**4/16 + 5097328361*q**3/12 - 1269*q**2. Determine w, given that i(w) = 0.
1721
Let h(n) be the first derivative of n**5/16 + n**4/16 - n**3/3 + 83*n + 56. Let y(x) be the first derivative of h(x). Factor y(z).
z*(z - 1)*(5*z + 8)/4
Let z(g) be the third derivative of -g**7/252 - 29*g**6/144 + 5*g**5/12 + 838*g**2. Let z(q) = 0. What is q?
-30, 0, 1
Suppose -918/13*q + 0 - 630/13*q**2 - 114/13*q**3 - 2/13*q**4 = 0. Calculate q.
-51, -3, 0
Let a be (-1728)/(-3888)*(-9)/(-5). Suppose a*x**5 + 0*x**2 + 0*x**3 + 0 + 28/5*x**4 + 0*x = 0. What is x?
-7, 0
Let n(h) be the first derivative of 152/27*h**3 - 1/27*h**6 + 8/3*h - 49/9*h**2 - 196 + 32/45*h**5 - 3*h**4. Let n(f) = 0. What is f?
1, 12
Let l(q) = -q**3 + 9*q**2 + 30*q - 156. Let s be l(11). Let w = s - -68. Factor w*p**3 + 4/13*p**4 - 2/13*p**5 - 4/13*p**2 + 2/13*p + 0.
-2*p*(p - 1)**3*(p + 1)/13
Let v be 3/(-15 + (-1161)/(-72)). Find f such that -2/3*f + 0 + v*f**3 + 5/3*f**4 + 1/3*f**2 = 0.
-1, 0, 2/5
Let v(u) be the third derivative of u**7/1155 - 43*u**6/330 + 42*u**5/55 - 125*u**4/66 + 83*u**3/33 - 2*u**2 + 527*u. Factor v(z).
2*(z - 83)*(z - 1)**3/11
What is y in 62/3*y - 40/9 - 44/9*y**2 = 0?
5/22, 4
Let c(b) be the second derivative of 5*b**4/12 + 205*b**3/2 + 605*b**2 - 1141*b. Factor c(a).
5*(a + 2)*(a + 121)
Let r(q) be the first derivative of -2*q**5/5 + 153*q**4/7 - 1994*q**3/21 - 1710*q**2/7 - 800*q/7 + 131. Determine y so that r(y) = 0.
-1, -2/7, 5, 40
Let m = -294 - -304. Find n, given that 5*n**4 - 35 + m*n**3 + 32 + 3 = 0.
-2, 0
Let l(j) = 54*j**3 - 203*j**2 + 86*j - 7. Let y(r) = 213*r**3 - 810*r**2 + 345*r - 27. Let u(t) = 9*l(t) - 2*y(t). Solve u(w) = 0 for w.
1/5, 1/4, 3
Let j = -179 + 143. Let x be 5 - (j/(-6))/3. Find q such that 9/2*q**5 - 3*q**4 + 10*q + 4 - 29/2*q**x - q**2 = 0.
-1, -2/3, 1, 2
Let m be 12/(360/(-42)) + (-3627)/(-405) + -6. Factor 5/3 - 1/9*r**2 - m*r.
-(r - 1)*(r + 15)/9
Let m be 2*20/8 + -5. Suppose 2*g - 10 = -m*g. Find s, given that -s**4 - s**5 + 6*s**5 + 4*s**2 + 12*s**3 - 8*s**g = 0.
-2, -1/3, 0, 2
Let i = 6349 - 6343. Let z(u) be the third derivative of 0*u - 3/5*u**5 + 1/8*u**4 + 1/3*u**3 + 0 + 6*u**2 + 11/30*u**i. Find o such that z(o) = 0.
-2/11, 1/2
Let d(q) be the first derivative of 3*q**5/5 - 249*q**4/4 - 85*q**3 + 249*q**2/2 + 252*q + 408. Factor d(r).
3*(r - 84)*(r - 1)*(r + 1)**2
Suppose 8*q - 8 = 32. Factor q*t**3 + 10*t - 75*t**2 + 231*t**2 - 40 - 64*t**2 - 67*t**2.
5*(t - 1)*(t + 2)*(t + 4)
Let m(q) be the first derivative of q**4/20 - 17*q**3/5 - 26*q**2/5 + 1397. Determine k, given that m(k) = 0.
-1, 0, 52
Suppose 2*m = -2*b + 38, -2*b + 0*b = -6. Suppose 13*f + 1344 = m*f. Find p, given that -1372/3 - f*p**2 + 784*p + 256/3*p**3 = 0.
7/4
Let a(z) be the first derivative of 968*z - 21*z**4 + 31 + 2/5*z**5 + 794/3*z**3 + 924*z**2. Factor a(o).
2*(o - 22)**2*(o + 1)**2
Let g(o) = -o**2 - o - 1. Let r(v) = 3*v - 4*v**2 + v**2 + 4 + 10*v**2 - 2*v**2. Let a(q) = 6*g(q) + r(q). Determine y so that a(y) = 0.
-2, -1
Let g(i) be the second derivative of 16/3*i**3 - 128*i**2 + 181*i - 1/12*i**4 + 0. Factor g(n).
-(n - 16)**2
Let u = -9172 - -155864/17. Let l = -112/51 - u. Factor -2/3*b - l + 2/3*b**2.
2*(b - 2)*(b + 1)/3
Let l be (11 + -18 + (-1892)/(-272))*(-37 - 11). Determine n, given that 2/17*n**2 - l - 6/17*n = 0.