et f(a) be the third derivative of a**6/30 - 46*a**5/3 - 232*a**4/3 - 3*a**2 + 20*a + 9. Factor f(v).
4*v*(v - 232)*(v + 2)
Let m(a) = a**2 + 2*a + 1. Let s(x) = 5*x**2 + 16*x + 20. Suppose -7*c - 5*z - 29 = -3*c, z + 9 = -4*c. Let b(n) = c*s(n) + 4*m(n). Let b(h) = 0. Calculate h.
-4
Factor 528/7 + 610/7*s + 2/7*s**3 + 12*s**2.
2*(s + 1)*(s + 8)*(s + 33)/7
Let m(b) = 2*b**2 + 148*b - 308. Let j(f) = 12*f**2 - 1234 + 214*f + f**2 - 6*f**2 - 28*f + 408*f. Let r(s) = 2*j(s) - 9*m(s). Factor r(c).
-4*(c - 2)*(c + 38)
Let v(d) = d**3 - 8*d + 857. Let n be v(0). Let p = -854 + n. Factor -72/5*k - 36/5*k**p + 78/5*k**2 + 24/5 + 6/5*k**4.
6*(k - 2)**2*(k - 1)**2/5
Let z(q) = -75*q**4 - 90*q**3 + 33*q**2 + 42*q - 6. Let h(g) be the first derivative of 1/2*g**2 - 12 + g. Let c(l) = 6*h(l) - z(l). Let c(v) = 0. What is v?
-1, 2/5
Let j be (-10)/(-15) + 15/10 + (-1)/(-2). Solve -j*f**5 - 4/3*f + 4*f**3 + 14/3*f**4 - 14/3*f**2 + 0 = 0 for f.
-1, -1/4, 0, 1, 2
Let b(l) = 8*l + 203. Let g be b(-26). Let p be (g - 2) + (52 - 43). Factor -12/7 + 2/7*j**p + 10/7*j.
2*(j - 1)*(j + 6)/7
Let m be (-15)/((-1050)/(-20))*5*(-4)/40. Solve 75/7*k**2 - 1368/7*k - 1444/7 - m*k**3 = 0 for k.
-1, 38
Let v(d) be the second derivative of -295/48*d**4 + d + 5/16*d**5 - 11/2*d**2 - 64 + 28/3*d**3. Factor v(s).
(s - 11)*(5*s - 2)**2/4
Let h(v) be the third derivative of -v**8/3864 + 32*v**7/2415 - 9*v**6/460 - 64*v**5/345 + 31*v**4/69 + 7661*v**2. Let h(b) = 0. Calculate b.
-2, 0, 1, 2, 31
Let o(j) be the first derivative of -2*j**6/3 + 4*j**5 + 5*j**4 - 100*j**3/3 - 80*j**2 - 64*j + 727. Factor o(h).
-4*(h - 4)**2*(h + 1)**3
Determine h so that -390 - 110/3*h**4 - 1535/3*h + 5/3*h**5 + 320/3*h**2 + 190*h**3 = 0.
-1, 2, 9, 13
Let x(c) = 3*c**3 + 2*c**2 + c - 2. Let z be (-1)/(((-1)/4)/((-19)/(-38))). Let k(s) = -s**3 + s**2 - 2. Let w(m) = z*k(m) + x(m). Find g such that w(g) = 0.
-3, -2, 1
Let w = 1077 + -1077. Let z(v) be the second derivative of -14*v + w + 0*v**2 + 1/6*v**4 - 1/6*v**3 - 1/80*v**5 - 1/40*v**6. Let z(t) = 0. What is t?
-2, 0, 2/3, 1
Let k(u) be the third derivative of -u**5/60 - 2213*u**4/24 - 2230*u**2 + u + 1. Suppose k(i) = 0. What is i?
-2213, 0
Let y be (-30)/40 + 223/4. Let o = y + -48. Factor 8*b - 1 - 10 - o*b**2 + 3*b + b**3 + 6.
(b - 5)*(b - 1)**2
Let g(a) be the second derivative of -a**4/3 - 976*a**3/3 + 978*a**2 - 359*a. Factor g(q).
-4*(q - 1)*(q + 489)
Let d = -2581588/3 + 860534. Factor d*l**2 + 4*l + 0 + 2/3*l**3.
2*l*(l + 1)*(l + 6)/3
Let n(g) = 6*g**3 - 10*g**2 + 9*g. Let y = 188 + -178. Let m(o) = -o**3 + o**2 - o. Let h(j) = y*m(j) + 2*n(j). Find b such that h(b) = 0.
0, 1, 4
Let a(u) be the second derivative of 0 + 1/25*u**5 + 13/6*u**3 + 0*u**2 + 16*u - 1/600*u**6 - 2/5*u**4. Let p(g) be the second derivative of a(g). Factor p(i).
-3*(i - 4)**2/5
Let i(m) = m**3 + 118*m**2 - 542*m + 572. Let p(s) = -5*s**3 - 825*s**2 + 3795*s - 4010. Let r(b) = 15*i(b) + 2*p(b). Factor r(o).
5*(o - 2)**2*(o + 28)
Let d be 26/8*18*2/3. Let p = d - 34. Determine k so that -5*k**2 + 7*k**2 + 8*k**2 - k**3 + 5*k**p - 14*k**3 = 0.
-2, 0, 1
Let b(h) be the first derivative of -h**9/13608 - 13*h**8/7560 + 5*h**3/3 - h + 38. Let a(f) be the third derivative of b(f). Factor a(o).
-2*o**4*(o + 13)/9
Factor 2/5*p**2 - 86 + 428/5*p.
2*(p - 1)*(p + 215)/5
What is m in 0*m**3 - 2*m**3 - 2305*m - 11629*m - 15488 - 1202*m - 260*m**2 + 610*m**2 = 0?
-1, 88
Let i = -609100 - -609103. Factor -4/3*j**i + 0*j**2 - 4/3*j**4 + 0 + 0*j.
-4*j**3*(j + 1)/3
Factor 281*i**3 - 1273 - 2*i**5 - 917*i**3 + 391 + 102*i - 1920*i - 2396*i**2 + 78*i**4 - 744*i.
-2*(i - 21)**2*(i + 1)**3
Let r = -541747/36 - -60203/4. What is y in 4/9 - 2*y + r*y**2 = 0?
2/5, 1/2
Let b(f) be the first derivative of 5/9*f**2 - 1/27*f**6 - 2/9*f**4 + 43 - 4/27*f**3 - 4/9*f + 8/45*f**5. Solve b(z) = 0 for z.
-1, 1, 2
Find m such that -18386944/5 + 17152/5*m - 4/5*m**2 = 0.
2144
Let z(v) be the third derivative of -2 + 1/90*v**5 + 0*v - 5/12*v**4 - 16*v**2 + 14/9*v**3. Solve z(g) = 0.
1, 14
Let h be (-76)/(-57) - (-364)/456. Let k(w) be the first derivative of 12 - h*w**4 + 32/19*w**2 - 8/19*w - 30/19*w**3. Factor k(f).
-2*(f + 1)*(9*f - 2)**2/19
Let m be -2*(-8 + (-143)/(-22)). Suppose 4*h + 0*h - 12 = 0. Factor 2*r**3 + r**5 - 2*r**h - 2*r**m + r + 0*r.
r*(r - 1)**2*(r + 1)**2
Let t = -9 + 12. Suppose r + 5 = t*n, 4*n - 2*r = -0*n + 4. Determine i so that 7*i - 3*i**n - 4*i**3 - 7*i - 12*i + i**4 + 16*i**2 = 0.
0, 2, 3
Let q(v) = v**2 - 8*v + 23. Let j be q(5). Find m, given that -11 + 26*m - j + 6*m**2 + 4*m**2 + 7 = 0.
-3, 2/5
Suppose 1456*h - 423*h - 1284 = 782. Determine p, given that -16/7*p - h - 2/7*p**2 = 0.
-7, -1
Suppose -3*x - 798/5 + 3/5*x**2 = 0. What is x?
-14, 19
Let j = -106297 + 106299. Let 21/8*y**j + 93/4 - 657/8*y = 0. Calculate y.
2/7, 31
Let d = -351319/55 - -31939/5. Factor d*i**2 - 24/11 - 2/11*i.
2*(i - 4)*(i + 3)/11
Let p(w) = -2*w - 20. Let z be p(-18). Let c(u) = -3*u**2 - z*u + 16*u + 42 + 18*u. Let a(k) = 4*k**2 - 17*k - 41. Let i(s) = 6*a(s) + 7*c(s). Factor i(v).
3*(v + 4)**2
Let p(y) be the first derivative of -y**3/6 - 13*y**2/4 + 574*y - 5266. Factor p(z).
-(z - 28)*(z + 41)/2
Let k(m) = -2*m**5 - 2*m**3 + m - 2. Let v(s) = -12*s**5 - 90*s**4 + 226*s**3 + 520*s**2 - 665*s - 14. Let q(x) = -7*k(x) + v(x). Solve q(d) = 0.
-2, 0, 1, 4, 42
Factor 1041/2*x - 260 + 1/2*x**3 - 261*x**2.
(x - 520)*(x - 1)**2/2
Let w(o) be the second derivative of 0*o**4 + 0 - 17*o - 12*o**2 + 0*o**3 - 1/90*o**5. Let i(r) be the first derivative of w(r). Factor i(z).
-2*z**2/3
Let d = 382/2733 + 2302/911. Let -2/3 - l**3 + d*l**2 - l = 0. What is l?
-1/3, 1, 2
Let t = 27 + -25. Suppose 0 = t*q - 0*q - 8. Let a(l) = -15*l**2 + 31*l. Let r(f) = -8*f**2 + 16*f. Let d(w) = q*a(w) - 7*r(w). Factor d(x).
-4*x*(x - 3)
Let z(q) be the first derivative of -6*q**4 + 2*q + 2/15*q**6 - 16 - 40/3*q**3 - 4/5*q**5 - 14*q**2. Let k(b) be the first derivative of z(b). Factor k(v).
4*(v - 7)*(v + 1)**3
Suppose 3*s - s - 3 = t, -9 = 5*s + 3*t. Let d(n) be the second derivative of s + 10*n - 1/48*n**4 + 1/6*n**3 - 3/8*n**2. Factor d(p).
-(p - 3)*(p - 1)/4
Suppose -5*d + 7 = -4*a + 8*a, 0 = -5*a + 2*d + 17. Solve -2*c**2 + 357 + 19*c - 323 + a*c**2 = 0.
-17, -2
Determine h so that -6*h**3 - 29*h + 102*h + 36 - 37*h - 7*h**2 + h**4 = 0.
-2, -1, 3, 6
Let x be 4395/(-105)*(-4)/6 + (-6)/(-9). Let j(d) be the first derivative of 5 - 2/21*d**3 - 20/7*d**2 - x*d. Factor j(m).
-2*(m + 10)**2/7
Let l(r) = 6*r - 12. Let t be l(2). Suppose -k + 3*n + 5 = t, -5*n + 3*n - 2 = 0. Solve -5/2*v - 1/4*v**k - 25/4 = 0 for v.
-5
Factor 1/2*b**5 + 19/2*b**4 + 0*b**2 + 0 + 0*b - 10*b**3.
b**3*(b - 1)*(b + 20)/2
Let g(z) be the first derivative of -1/4*z**4 + 1/25*z**5 + 7 + 0*z - 2/5*z**2 + 8/15*z**3. Let g(x) = 0. What is x?
0, 1, 2
Let o(u) = -53*u - 5. Let l be o(-1). Let d = l - 46. Determine j so that 8*j**d - 3*j**2 - j**2 - 16*j = 0.
0, 4
Let x(w) be the second derivative of w**5/105 - w**4 + 42*w**3 - 77*w**2/2 - 6*w + 2. Let r(l) be the first derivative of x(l). Factor r(y).
4*(y - 21)**2/7
Let t = 2545835/129 + -19735. Let h = 565/516 + t. Factor -3/2*z + 1/4*z**2 + h.
(z - 5)*(z - 1)/4
Let w = 152227/6 + -25371. Suppose 0*n - 1/6*n**5 + 0*n**3 - w*n**4 + 0*n**2 + 0 = 0. What is n?
-1, 0
Suppose 6*n - 4*n = 6, 2*x - 7 = n. Find w such that -7*w**3 + w**2 + w**x + w**4 - 2*w**2 + 4*w + 4*w - 2*w = 0.
-3, -1, 0, 1, 2
Let l(t) be the first derivative of 2*t**3/3 + 253*t**2 - 508*t + 10205. Factor l(z).
2*(z - 1)*(z + 254)
Let i(m) be the third derivative of -m**2 - 1/200*m**6 + 13*m + 0*m**5 + 0 + 0*m**4 + 0*m**3. Factor i(u).
-3*u**3/5
Let u(m) be the third derivative of m**5/210 + m**4/28 + 2*m**3/21 + 2*m**2 + m + 44. Determine f so that u(f) = 0.
-2, -1
Let j(w) be the third derivative of -13*w - 1/240*w**5 + 5/12*w**3 + 0 - w**2 - 3/32*w**4. Factor j(g).
-(g - 1)*(g + 10)/4
Let v(h) be the second derivative of 7*h**5/20 - h**4/12 - 5*h**3/6 - 7*h**2/2 - 170*h. Let w(p) = -6*p**3 + 6*p + 8. Let i(l) = -4*v(l) - 5*w(l). Factor i(t).
2*(t - 2)*(t + 1)*(t + 3)
Suppose 5*c - t - 4 = t, c - 17 = -5*t. Let l be 4/((-24)/(-50)) + (-462)/66. Factor 2/3*n**c - l + 2/3*n.
2*(n - 1)*(n + 2)/3
Let g(n) be the second derivative of -n**4