**5/60 + 121*t**3/3 + 44*t - 1. Let p(x) be the second derivative of v(x). Factor p(k).
2*k*(k - 7)*(k + 1)
Let r be (-1503418)/(-20033) - 4/(-134). Find o, given that -480/13*o**3 - 1450/13*o**4 + 250/13*o**5 + 608/13*o + r*o**2 + 96/13 = 0.
-2/5, 1, 6
Let y(p) be the first derivative of 2*p**3/3 + 4036*p**2 + 8144648*p + 2636. Factor y(g).
2*(g + 2018)**2
Let b be 2162*2/720 + 5 + -11. Let p(m) be the third derivative of 0*m - b*m**6 + 0*m**3 - 1/18*m**4 - 1/30*m**5 + 12*m**2 + 0. Factor p(w).
-2*w*(w + 1)*(w + 2)/3
Let q(p) be the first derivative of -2*p**3/45 + 65*p**2/3 + 652*p/15 + 2157. Solve q(g) = 0 for g.
-1, 326
Suppose 7*z**2 - 16 + 16 - 479*z - 565*z - 3*z**2 = 0. What is z?
0, 261
Let w(c) be the first derivative of 98*c**6 + 906*c**5/5 - 37341*c**4/16 + 1367*c**3 - 1473*c**2/8 - 45*c/2 - 1688. Determine b so that w(b) = 0.
-5, -2/49, 1/4, 3
Suppose -3*c = a + 7, -4*c + 3 = -5*c. Factor -2*q**3 - q**a - 7*q**2 + 0*q + 0*q**4 + 8*q**4 + 2*q.
2*q*(q - 1)*(q + 1)*(4*q - 1)
Let r = 591759/5 - 118351. Find o such that -r + 4/5*o - 1/5*o**2 = 0.
2
Let i(j) be the first derivative of 2*j**3/15 - 75*j**2 - 1508*j/5 + 6359. Factor i(v).
2*(v - 377)*(v + 2)/5
Determine j, given that 43/4*j**2 - 3/4*j - 15/4*j**4 + 31/4*j**3 + 0 = 0.
-1, 0, 1/15, 3
Let p(s) be the second derivative of -s**9/432 + 11*s**8/672 - 5*s**7/168 - 19*s**4/4 - s**3/2 - 182*s. Let o(r) be the third derivative of p(r). Factor o(z).
-5*z**2*(z - 1)*(7*z - 15)
Let c = 2242/1825 - 29/25. Let j = 33/584 + c. What is m in 0*m**3 + j*m + 1/4*m**4 - 1/8*m**5 - 1/4*m**2 + 0 = 0?
-1, 0, 1
Let x(s) be the first derivative of 5*s**2/2 - 7*s - 5. Let g be x(2). Find q, given that 12*q**2 - 177*q**g + 675*q**5 - 3*q - 90*q**4 + 8*q + 7*q = 0.
-1/3, 0, 2/5
Let w be (3/(-9))/(1222/(-49023)). Let m = 6/47 + w. Factor -243/4 - 3/4*r**2 + m*r.
-3*(r - 9)**2/4
What is f in 1 - 61/8*f**4 + 401/8*f**3 - 95/4*f**2 - 77/4*f**5 - 1/2*f = 0?
-2, -2/11, 2/7, 1/2, 1
Let a be 333/4*((-42)/6957)/1. Let j = -2/773 - a. Factor -3/4*g - j*g**2 + 1/4*g**3 + 0.
g*(g - 3)*(g + 1)/4
Let s(k) be the second derivative of k**4/66 - 35*k**3/33 + 234*k**2/11 - 9988*k. Suppose s(q) = 0. Calculate q.
9, 26
Let q(w) be the second derivative of -1/6*w**6 - 20/3*w**3 + 5/3*w**4 + 133*w + 0 - 5/42*w**7 + 0*w**2 + 3/2*w**5. Suppose q(b) = 0. What is b?
-2, 0, 1, 2
Suppose 2*w - 3*w**5 + 10*w**4 - 33276*w**2 + 33266*w**2 + 10*w**3 + 3*w**5 - 12*w**5 = 0. What is w?
-1, 0, 1/3, 1/2, 1
Let l = 92 + -167. Let u = 77 + l. Solve 5*m - 56 + 5*m**u + 99 - 53 = 0.
-2, 1
Let c be ((-32)/(-10))/(12/(-1800)). Let q = -3355/7 - c. Let -q - 1/7*y**2 + 6/7*y = 0. What is y?
1, 5
Solve 1/4*y**2 + 77/4*y - 39/2 = 0.
-78, 1
Suppose u + 5 = -3*i, -i - 3*u = -4*u - 5. Factor 8*o**4 - o + 6*o**3 - 16*o**2 + 7*o**3 + i*o**2 - o**3 - 15*o - 4*o**5.
-4*o*(o - 2)**2*(o + 1)**2
Let k(f) be the second derivative of -f**7/105 + 13*f**6/75 + 111*f**5/50 + 67*f**4/30 - 38*f**3/3 - 1358*f. Find q such that k(q) = 0.
-5, -2, 0, 1, 19
Let v(g) be the third derivative of -g**9/4032 + g**7/1120 - 22*g**3/3 - 111*g**2. Let z(c) be the first derivative of v(c). Factor z(p).
-3*p**3*(p - 1)*(p + 1)/4
Let y(n) = 2*n**2 - n - 592. Let c be y(-17). Suppose -12/5 + 9/5*l**3 + c*l**2 - 9/5*l - 3/5*l**4 = 0. Calculate l.
-1, 1, 4
Determine k, given that 4/5*k**3 + 3 - 32/5*k + 13/5*k**2 = 0.
-5, 3/4, 1
Let h(d) be the second derivative of 24/7*d**2 + 43/14*d**4 + 87/70*d**5 + 1/49*d**7 - 2*d + 9/35*d**6 + 1 + 30/7*d**3. Factor h(p).
6*(p + 1)**3*(p + 2)*(p + 4)/7
Let u(t) be the first derivative of 32/3*t**3 + 31 - 1/6*t**4 - 256*t**2 + 8192/3*t. What is i in u(i) = 0?
16
Let o be 19/(171/36)*(2 - -1). Let c be 7/o + (-76)/304. Find u, given that -c*u**2 + 0 + 0*u + 1/3*u**3 = 0.
0, 1
Let j(g) be the first derivative of g**5/690 - 7*g**4/276 + 2*g**3/23 + g**2/2 + 16*g + 80. Let p(z) be the second derivative of j(z). Factor p(v).
2*(v - 6)*(v - 1)/23
Let m = -277449 + 1387248/5. Find b, given that 0 - 4/5*b**2 + 0*b + m*b**4 - 1/5*b**5 + 0*b**3 = 0.
-1, 0, 2
Let r(q) = -q**2 + q - 1. Let v(l) = 2*l**2 + 11*l + 3. Let b = 62 + -47. Let s(k) = b*r(k) + 5*v(k). Solve s(i) = 0 for i.
0, 14
Let l(n) be the second derivative of -n**6/90 + 31*n**5/120 + 17*n**4/24 + 8*n + 19. Factor l(s).
-s**2*(s - 17)*(2*s + 3)/6
Suppose 18*o + 24 + 3/8*o**3 + 9/2*o**2 = 0. Calculate o.
-4
Let c = 31 - 12. Suppose 3*l - 9*n + 5*n + 11 = 0, -4*l - 3*n = -27. Factor 15*i**2 + c*i**4 + 5*i**l - 45*i**4 + 21*i**4 - 10 - 5*i.
-5*(i - 2)*(i - 1)*(i + 1)**2
Suppose -3*r + 9 = -0*r. Suppose 3 = -2*y + 7. Determine h so that 3*h**y - 2*h**4 - 18*h**3 + 18*h**r + h**4 - 2*h = 0.
-2, 0, 1
Suppose 3*v = -6, -o - 5*v = 2*o - 530. Let z be ((-56)/(-36))/7 - (-32)/o. Factor -1/5 + 1/5*f**5 - z*f**3 + 1/5*f + 2/5*f**2 - 1/5*f**4.
(f - 1)**3*(f + 1)**2/5
Suppose -2*o - 2*q = -4, -3*q - 20 = -3*o - 14. Factor -9*n**4 + 7*n - 7*n**3 + 3*n**2 + 8*n**4 + 6*n**o - 8.
-(n - 1)**2*(n + 1)*(n + 8)
Let r(i) = -1. Let t(v) = -32*v**2 - 316*v**3 + 20 - 32*v**2 + 311*v**3 + 74*v**2. Let u be 5/5*(0 - -1). Let p(f) = u*t(f) + 20*r(f). Solve p(k) = 0 for k.
0, 2
Let h = 57121/60 - 952. Let f(i) be the third derivative of -h*i**5 + 1/24*i**4 + 8*i**2 + 0*i + 0 + i**3. Determine g, given that f(g) = 0.
-2, 3
Let f be (1 - 7)*(-1284)/(-96)*4. Let z = 965/3 + f. Solve 2/3*v**3 + 0*v - z*v**4 + 0 + 2/3*v**2 - 2/3*v**5 = 0.
-1, 0, 1
Let u(i) be the second derivative of i**5/70 - 11*i**4/21 - 73*i**3/21 - 50*i**2/7 - 1431*i. Suppose u(t) = 0. What is t?
-2, -1, 25
Let n(z) be the first derivative of 4*z**5/15 + 928*z**4/3 + 284576*z**3/3 - 1729792*z**2/3 + 3474496*z/3 - 1098. Factor n(k).
4*(k - 2)**2*(k + 466)**2/3
Let h(p) be the second derivative of p**5/50 - 36*p**3/5 - 432*p**2/5 + 8*p + 36. Factor h(x).
2*(x - 12)*(x + 6)**2/5
Let z(j) be the third derivative of 0*j + 7/27*j**4 - 106*j**2 + 13/540*j**5 + 40/27*j**3 + 0 + 1/1080*j**6. Find q, given that z(q) = 0.
-5, -4
Let x be (-42)/(-315) + 1194/995. Determine r, given that -4 + 8/3*r**3 + 16/3*r**2 - x*r**4 - 8/3*r = 0.
-1, 1, 3
Let i(y) = y**3 - y + 1. Let p(f) be the first derivative of -5*f**4/4 + f**3/3 + 2*f**2 - 4*f - 65. Let v(s) = -4*i(s) - p(s). Factor v(b).
b**2*(b - 1)
Let k(v) = 139*v + 417. Let f be k(-3). Suppose -5*q + 33 = 23. Factor f + 0*t + 0*t**q + 1/3*t**3 - 1/3*t**4.
-t**3*(t - 1)/3
Determine c so that 17587*c**2 + 35*c**4 - 420*c**3 - 84420*c - 1681*c**2 + 121203 + 31*c**4 - 98*c**4 + 35*c**4 = 0.
3, 67
Let 16/5*i + 7/5*i**5 - 1/5*i**2 - 4/5 + i**4 - 23/5*i**3 = 0. What is i?
-2, -1, 2/7, 1
Let y be -1 - (-1 + -2 + 1 + -1). Suppose -2*x - 19 = -5*u, -1 + 0 = u + y*x. Suppose -g**4 - 15*g + u*g**3 + 6*g**2 - 7*g**2 - 18 + 8*g**2 = 0. What is g?
-2, -1, 3
Let 1/3*b**5 - 260099/3*b - 1021/3*b**4 + 260098/3*b**3 + 262142/3*b**2 - 261121/3 = 0. Calculate b.
-1, 1, 511
Let f(b) = 13955*b + 55823. Let i be f(-4). Suppose h + 4*j = -j + 20, -2*h = j - 4. Find o, given that -6/5*o**i + 3/5*o + 0*o**2 + 3/5*o**5 + h + 0*o**4 = 0.
-1, 0, 1
Factor 0 - 51/7*i**2 + 1044/7*i - 3/7*i**3.
-3*i*(i - 12)*(i + 29)/7
Let c(g) = 5*g**2 - 2001*g - 2020. Let l(t) = -17*t**2 + 6002*t + 6068. Let i(d) = -7*c(d) - 2*l(d). Solve i(h) = 0 for h.
-1, 2004
Let d(z) = 38*z**2 - 395*z - 52. Let s(f) = -18*f**2 + 194*f + 26. Let t(l) = 2*d(l) + 5*s(l). Factor t(m).
-2*(m - 13)*(7*m + 1)
Let d = 3749 + -179951/48. Let s(c) be the third derivative of -d*c**4 + 0*c**3 - 1/240*c**5 + 0*c + 20*c**2 + 0. Find l, given that s(l) = 0.
-2, 0
Let y(k) be the first derivative of 7*k**3 - 753*k**2/2 + 4242*k - 4139. Let y(s) = 0. What is s?
7, 202/7
Suppose 0 = -250*p + 53330 - 53330. Factor 1/3*x**2 + 0*x + 0*x**3 - 1/3*x**4 + p.
-x**2*(x - 1)*(x + 1)/3
Let c(s) be the third derivative of s**7/42 - s**6/12 - 2*s**5 + 20*s**4/3 + 320*s**3/3 + 224*s**2 - 4*s. Suppose c(v) = 0. Calculate v.
-4, -2, 4
Let p(k) = k**3 + 3*k**2 - 2*k - 1. Let j(f) = -3*f**3 - 414*f**2 - 1604*f - 2. Let z(t) = j(t) - 2*p(t). Factor z(g).
-5*g*(g + 4)*(g + 80)
Suppose 2*a - 1 - 11 = 0. Let n be (3 + 27/(-6))*8/(-3). Determine y, given that -3*y**5 - 3*y - 6 - a*y**n + 2*y**2 - 2*y**2 + 6*y**3 + 12*y**2 = 0.
-2, -1, 1
Suppose -3*r - 30 = 3*z, 20 = -3*z + 2*r + 50. Factor -l - 5/2*l**2 + l**4 + z + 1