n**3 - 16 - 57 - 7 - 780*n - 88.
-3*(n + 7)*(3*n + 2)**3
Let i = -22389 - -22389. Let g(d) be the second derivative of 0 + 2/5*d**3 + i*d**2 + 3/100*d**5 - 1/5*d**4 - 12*d. Factor g(s).
3*s*(s - 2)**2/5
Let m be 6/((26 + -10 - 17)*-2). Determine r, given that 12/5*r**2 + 0*r + 0 + 6/5*r**4 + 18/5*r**m = 0.
-2, -1, 0
Let p(k) be the second derivative of 8*k**7/21 + 64*k**6/15 - 27*k**5/5 - 191*k**4/3 + 388*k**3/3 - 96*k**2 + 2*k + 308. Find r such that p(r) = 0.
-8, -3, 1/2, 2
Let m = -16339 - -277805/17. Suppose -m*u + 2/17*u**2 - 44/17 = 0. Calculate u.
-1, 22
Let v(j) be the second derivative of 24*j**7/5 + 946*j**6/25 - 4397*j**5/25 + 1008*j**4/5 - 40*j**3/3 - 576*j**2/5 - 2236*j. What is u in v(u) = 0?
-8, -1/4, 2/3, 9/7
Suppose -3*x + 197 = 218. Let u be ((-70)/(-140))/(-1 - x/6). Factor -3/4*j**u + 0*j - 9/4*j**2 + 3.
-3*(j - 1)*(j + 2)**2/4
Let j(t) be the first derivative of -4/3*t**2 - 134 - 2/27*t**3 + 10*t. Factor j(x).
-2*(x - 3)*(x + 15)/9
Let f(b) be the third derivative of -b**6/72 - 4*b**5/3 - 160*b**4/3 - 73*b**3/6 - 189*b**2. Let u(x) be the first derivative of f(x). Factor u(o).
-5*(o + 16)**2
Let x(s) be the first derivative of 2*s**3/21 - 822*s**2/7 + 3890. Factor x(n).
2*n*(n - 822)/7
Let t = -15086 + 15088. Solve -18/5 + 2/5*u**t + 16/5*u = 0.
-9, 1
Let n(l) be the third derivative of 0*l**4 - 1/51*l**5 + 0 + 0*l + 0*l**3 + 1/1020*l**6 + 83*l**2. Factor n(b).
2*b**2*(b - 10)/17
Let z be 3*3/9 + 3 + -716. Let k = z - -714. Factor 0 + 1/12*i**3 + 1/3*i - 1/3*i**k.
i*(i - 2)**2/12
Let y = 17941 - 17938. Determine t so that 25/3*t**4 - 95/3*t**y - 16/3 + 68/3*t - 12*t**2 = 0.
-1, 2/5, 4
Let j(r) be the second derivative of -53/8*r**4 + 27*r**2 + 75/2*r**3 + 1 - 9*r + 27/80*r**5. Factor j(l).
3*(l - 6)**2*(9*l + 2)/4
Determine o so that 46/13*o + 2/13*o**2 - 660/13 = 0.
-33, 10
Let h(f) be the first derivative of -f**5/15 + 10*f**4/3 - 119*f**3/3 - 147*f**2 - 4534. Suppose h(k) = 0. Calculate k.
-2, 0, 21
Factor -8*r**3 - 636*r**2 + 25*r**4 + 13*r**3 - 26*r**4 - 99*r**3 - 1573*r**2.
-r**2*(r + 47)**2
Let r(m) = -44*m**3 + 5*m**2 - 2. Let o(t) = -221*t**3 + 26*t**2 - 11. Let u be (-1 - (-81)/63) + (-150)/(-14). Let f(l) = u*r(l) - 2*o(l). Factor f(x).
-3*x**2*(14*x - 1)
Let a(p) be the third derivative of p**8/30240 - p**7/1890 - p**6/90 + p**5/10 - p**3/6 + 57*p**2. Let x(c) be the third derivative of a(c). Factor x(z).
2*(z - 6)*(z + 2)/3
Factor -77/4*s - 39/2 + 1/4*s**2.
(s - 78)*(s + 1)/4
Factor -28 - 110/3*z - 28/3*z**2 - 2/3*z**3.
-2*(z + 1)*(z + 6)*(z + 7)/3
Let b(x) be the second derivative of -x**4/6 + 34*x**3/3 - 189*x**2 + 1989*x. Determine y so that b(y) = 0.
7, 27
Let d = -119 - -126. Factor 12*m - d*m + 1 + 5*m**2 - 3 - 3 - 5*m**3.
-5*(m - 1)**2*(m + 1)
Let w(y) be the third derivative of -y**5/60 + 1025*y**4/18 - 1366*y**3/9 - 2863*y**2. Factor w(h).
-(h - 1366)*(3*h - 2)/3
Let b(g) be the third derivative of -2*g**6/45 + 29*g**5/10 + 11*g**4/3 - 2*g**3 - 32*g**2. Let s(u) be the first derivative of b(u). Factor s(k).
-4*(k - 22)*(4*k + 1)
Suppose 11*i = -4*i + 44 - 44. Let a(o) be the second derivative of 4*o + 0 + i*o**3 - 1/72*o**4 + 1/12*o**2. Factor a(g).
-(g - 1)*(g + 1)/6
Suppose z - 41*b + 42*b = 4, 1 = 2*z - 5*b. Let p(w) be the first derivative of 1/24*w**4 - 1/9*w**z + 0*w - 19 - 1/4*w**2. Factor p(q).
q*(q - 3)*(q + 1)/6
Let m = -33 - -69. Find q, given that 72*q**4 - 45*q**3 - m*q**5 + q**2 + 7*q**2 - 2*q**2 + 84*q**5 = 0.
-2, 0, 1/4
Suppose -3*b - 16*b + 403 + 148 = 0. Let o(v) be the first derivative of -b + 54*v + 1/2*v**3 + 9*v**2. Factor o(x).
3*(x + 6)**2/2
Let j = -74 - -76. Find i, given that i - 3*i**j + 92 - 172 + 98 + 2*i = 0.
-2, 3
Let v(q) be the first derivative of 19 - 3*q**3 + 0*q**4 - 3/2*q**2 + 3/5*q**5 + 3*q. Let p(f) = f**5 + f**4 + f**2 - 1. Let z(l) = 3*p(l) + v(l). Factor z(i).
3*i*(i - 1)*(i + 1)**3
Factor 0 - 1/7*r**4 - 88/7*r + 13/7*r**3 - 2*r**2.
-r*(r - 11)*(r - 4)*(r + 2)/7
Let p(u) = -2*u**2 - 4*u - 3. Let l(w) = 4*w**2 + 2976*w - 547588. Let y(c) = l(c) + 4*p(c). Solve y(r) = 0.
370
Let i = 1/16 + 3/16. Let a be ((-70)/(-805))/((13 - -4)/391). Factor i*w**a + 0 + 3/4*w.
w*(w + 3)/4
Let i(p) be the second derivative of -3*p**5/100 + 43*p**4/40 + 3*p**3 - 2*p**2 - 61*p. Let q(x) be the first derivative of i(x). Let q(r) = 0. What is r?
-2/3, 15
Suppose -7 - 1 = 3*c - 23. Let y(p) be the first derivative of 20/3*p**3 - 200/9*p**2 + 19 + 250/9*p + 2/45*p**c - 8/9*p**4. Find i, given that y(i) = 0.
1, 5
Factor 175*z**3 - 360*z**5 - 67*z**3 + 42*z**4 - 378*z**5 + 740*z**5.
2*z**3*(z + 3)*(z + 18)
Let o = -6652 + 126390/19. Factor 120/19 + 22/19*c**2 - o*c**3 + 112/19*c.
-2*(c - 15)*(c + 2)**2/19
Find g such that -52/3*g - 154/9 - 2/9*g**2 = 0.
-77, -1
Let x(b) be the first derivative of -5/3*b**3 + 45*b + 20*b**2 - 92. Factor x(k).
-5*(k - 9)*(k + 1)
Let a = 23 + -10. Let r be ((-3)/4)/(a/(-52)). Let 6*m**3 - 4*m - r*m**4 - 12*m**2 + m**3 - 19*m**3 + m**3 = 0. What is m?
-2, -1, -2/3, 0
Let u(z) = -z**4 + 65*z**3 - 189*z**2 + 179*z - 55. Let t(v) = 3*v**4 - 65*v**3 + 188*v**2 - 182*v + 50. Let m(j) = 3*t(j) + 2*u(j). What is h in m(h) = 0?
2/7, 2, 5
Suppose 0 - 2/7*f**2 + 310/7*f = 0. What is f?
0, 155
Let k(r) be the second derivative of -r**7/210 + 29*r**6/75 - 189*r**5/20 + 243*r**4/5 - 21*r - 62. Solve k(c) = 0 for c.
0, 4, 27
Find h, given that 2/9*h**3 + 56/3 - 184/9*h + 14/9*h**2 = 0.
-14, 1, 6
Let c(h) be the third derivative of 1/210*h**7 + 0*h**4 + 1/1680*h**8 - 1/60*h**5 + 0*h + 5*h**2 - 1/600*h**6 + 0*h**3 - 8. Determine l so that c(l) = 0.
-5, -1, 0, 1
Factor -1242/5*t**2 - 29/5*t**4 - 405 + 513*t + 282/5*t**3 + 1/5*t**5.
(t - 15)*(t - 5)*(t - 3)**3/5
Let l(r) be the second derivative of 0*r**2 - 2/9*r**3 - 2*r + 28 - 1/36*r**4. Factor l(b).
-b*(b + 4)/3
Let j be 138/506 + (-126)/(-22). Let i(z) be the first derivative of 5*z - 10/3*z**3 - 20 - 5/6*z**j + z**5 - 5/2*z**2 + 5/2*z**4. Factor i(k).
-5*(k - 1)**3*(k + 1)**2
Let v(b) be the third derivative of b**6/120 + 49*b**5/15 + 65*b**4/8 - 311*b**2. Factor v(j).
j*(j + 1)*(j + 195)
Suppose 0 = 33*s - 29*s - 2*r - 10, -5*r + 7 = -2*s. Find g such that 8*g**3 + 5*g**s - 14*g**4 - 6*g**2 + 7*g**4 = 0.
0, 1, 3
Let j(f) = f**4 - f**3 - f**2 - f. Let m(h) = -3*h**4 - 9*h**3 + 33*h**2 - 15*h + 6. Suppose -55 = 8*k - 47. Let r(t) = k*m(t) - 6*j(t). Factor r(o).
-3*(o - 2)*(o - 1)**3
Factor 1753 + 486*p - 3*p**2 + 1058 - 3294.
-3*(p - 161)*(p - 1)
Let w(n) be the first derivative of -5*n**8/336 + 5*n**7/42 - n**6/6 - 19*n**2/2 - 3*n - 53. Let y(v) be the second derivative of w(v). Factor y(d).
-5*d**3*(d - 4)*(d - 1)
Suppose -22*d + 127 - 39 = 0. Let a be (-14)/78 + 2/(-13) - -3. Factor a + 2*q**2 + 1/3*q**3 + d*q.
(q + 2)**3/3
Let i(h) be the second derivative of -h**4/12 + 38*h**3/15 - 26*h**2 - 2*h + 183. Factor i(n).
-(n - 10)*(5*n - 26)/5
Let w(z) be the second derivative of -4/27*z**3 + 44*z + 2/3*z**2 - 1/27*z**4 + 2. Suppose w(b) = 0. What is b?
-3, 1
Let n(q) be the second derivative of -q**7/84 + 11*q**6/15 - 43*q**5/40 + 1316*q. Factor n(l).
-l**3*(l - 43)*(l - 1)/2
Factor 76 - 305/2*a - 1/2*a**3 + 77*a**2.
-(a - 152)*(a - 1)**2/2
Let o(b) = -b + 1. Let p be o(-6). Factor -t + p*t + 4*t - 4*t**3 + 0*t**3 - 8*t**2 + 2*t**3.
-2*t*(t - 1)*(t + 5)
Solve -521659/2*y**2 + 170545/4*y**3 + 208*y**4 + 1/4*y**5 - 351122 + 525007*y = 0 for y.
-419, 2
Let n(r) be the first derivative of r**3/18 - 2*r**2 - 128*r/3 - 1226. Factor n(q).
(q - 32)*(q + 8)/6
Let y(j) be the first derivative of -j**5/20 - 5*j**4/16 + j**3/2 - 1177. Suppose y(z) = 0. Calculate z.
-6, 0, 1
Let f(v) = 16*v**2 - 8212*v - 72. Let x(s) = s**2 - 2*s - 6. Let w(b) = f(b) - 12*x(b). Factor w(n).
4*n*(n - 2047)
Let v(o) = 2*o**2 - 4. Let r be v(2). Suppose m - 5*l + 33 = 2*m, -2*l + r = 0. Solve -y**2 - m*y**5 - 4*y**3 + y**2 + 27*y**5 = 0 for y.
-1, 0, 1
Suppose 0*s - 3*k + 37 = 5*s, k = 4. Suppose 4*t + w + 12 = -4*w, 2*w = s*t - 18. Factor -10/9*j + 2/3*j**t + 4/9*j**3 + 0.
2*j*(j - 1)*(2*j + 5)/9
Factor -44*q + 4/7*q**4 + 20/7*q**3 - 132/7*q**2 - 160/7.
4*(q - 5)*(q + 1)**2*(q + 8)/7
Let f(c) be the third derivative of c**8/12096 - 5*c**7/1008 + 7*c**5/60 + 44*c**2. Let j(m) be the third derivative of f(m). Factor j(y).
5*y*(y - 15)/3
Let y(n) b