6*v + 2 = -5*b + 3*v, 6 = -5*b - 4*v. Determine a so that -18/19 - 12/19*a - 2/19*a**b = 0.
-3
Let z = -16117 - -16119. Solve -64/13*b + 512/13 + 2/13*b**z = 0.
16
Let j(p) be the first derivative of -p**4/4 - p**3/3 - p**2/2 + 29. Let v be j(0). Factor z**3 - 5/2*z**2 + z + v.
z*(z - 2)*(2*z - 1)/2
Let m(r) be the first derivative of -3*r**4/28 - 845*r**3/21 - 59361*r**2/14 + 19881*r/7 + 869. Factor m(f).
-(f + 141)**2*(3*f - 1)/7
Let b(l) be the third derivative of l**6/480 + l**5/40 + 11*l**4/96 + l**3/4 + 69*l**2. Factor b(d).
(d + 1)*(d + 2)*(d + 3)/4
Let j(v) be the first derivative of v**6/9 + 8*v**5/15 + v**4/2 + 26. Solve j(a) = 0 for a.
-3, -1, 0
Let z(w) be the first derivative of -w**4/4 - 11*w**3/3 + 25*w**2/2 - 13*w - 246. Let z(q) = 0. Calculate q.
-13, 1
Let u = 20216 + -222368/11. Solve u*l**2 - 4/11*l**4 + 2/11*l**5 + 2/11*l - 4/11 - 4/11*l**3 = 0 for l.
-1, 1, 2
Let i(s) be the first derivative of s**7/280 - s**6/80 + s**5/80 + 9*s**2/2 + 8. Let z(k) be the second derivative of i(k). Factor z(v).
3*v**2*(v - 1)**2/4
Determine t so that 3/4*t**2 - 129/4*t - 33 = 0.
-1, 44
Suppose -295*b + 3 = -294*b. Solve 576/7*y**5 - 8/7*y**2 + 96/7*y**4 - 92/7*y**b + 4/7*y + 0 = 0.
-1/3, 0, 1/4
Factor 48*p - 56 + 2/7*p**3 + 54/7*p**2.
2*(p - 1)*(p + 14)**2/7
Let f(y) = y**3 + 10*y**2 - 27*y - 28. Let s be f(-12). Suppose -2816 + s*b**4 + 4*b + 4*b**5 - 2*b**3 + 2824 - 6*b**3 - 16*b**2 = 0. Calculate b.
-2, -1, 1
Suppose 24*g - 40 = 14*g. Let d = 8 + -4. Let -4*u - 8*u**3 - 8*u**2 + 12*u**g - u**5 - 3*u**5 + 12*u + d*u - 4 = 0. What is u?
-1, 1
Let m(j) = -567*j + 1140. Let a be m(2). Determine w, given that -a - 3*w + 3/4*w**3 + 3/2*w**2 = 0.
-2, 2
Let s be ((-3)/7)/((-39)/52). Factor -s*j + 0 - 18/7*j**2.
-2*j*(9*j + 2)/7
Let i be (0 - -1)/(2/8). Suppose 4*z - i*s - 8 = 0, -z = -6*z - 3*s - 6. Factor -6*r - 2*r**3 + 6*r + z*r - 2*r**2.
-2*r**2*(r + 1)
Let x(k) be the second derivative of 1/45*k**6 - 1/6*k**4 + 0 + 1/9*k**3 - 1/30*k**5 + 15*k + 2/3*k**2. Factor x(n).
2*(n - 2)*(n - 1)*(n + 1)**2/3
Suppose -4*u = u - 175. Let m = 69 - u. Suppose -11*y + m*y + 33*y**2 + 4*y - 6 = 0. Calculate y.
-1, 2/11
Let o(d) be the second derivative of d**4/20 + 6*d**3/5 - 42*d**2/5 - 131*d + 2. Factor o(w).
3*(w - 2)*(w + 14)/5
Let c(a) = -105*a**3 + 391*a**2 - 349*a - 71. Let i(s) = -15*s**3 + 56*s**2 - 50*s - 10. Let u(k) = 4*c(k) - 30*i(k). Factor u(b).
2*(b - 2)**2*(15*b + 2)
Let p(w) be the second derivative of -1/2*w**3 + 0 - w + 3*w**2 - 1/4*w**4. Factor p(r).
-3*(r - 1)*(r + 2)
Let y be -7*5/100 + 6/10. Let r(d) = -d**2 + 16*d - 57. Let b be r(6). What is q in -1/2*q**2 - 1/4*q + y*q**b + 1/2 = 0?
-1, 1, 2
Let m(w) be the third derivative of -w**8/60480 - w**7/15120 + 11*w**5/60 + 10*w**2. Let u(q) be the third derivative of m(q). Solve u(h) = 0.
-1, 0
Let v(m) = -2*m**3 + 2*m**2 - 7*m + 5. Let n be v(4). Let i = -473/4 - n. Solve 3/4 - 3/2*o + i*o**2 = 0.
1
Solve 14*i**3 + 20*i**3 + i**4 - 12*i**2 + 19*i + 2*i**4 - 7*i - 37*i**3 = 0 for i.
-2, 0, 1, 2
Let i(g) = 5*g**2 - 348*g + 640. Let b(k) = -55*k**2 + 3825*k - 7040. Let s(u) = -6*b(u) - 65*i(u). Find o, given that s(o) = 0.
2, 64
Let q be 96/66 + (-66)/(-121). Let i be ((-18)/(-14))/(4/14). Factor 5*s**4 + s**q + 0 + 0*s + i*s**3.
s**2*(2*s + 1)*(5*s + 2)/2
Let p(d) be the third derivative of 0*d - 1/80*d**5 - 11*d**2 + 1/160*d**6 - 1/32*d**4 + 0 + 1/8*d**3. Factor p(x).
3*(x - 1)**2*(x + 1)/4
Let l be (-24)/(-60) + 244/(-10). Let c be 16/l + (-2 - -4). Determine x, given that x - c + 1/3*x**2 = 0.
-4, 1
Suppose 7346 - 5*l**5 - 335*l**3 - 140*l**4 - 27826 - 8000*l**2 - 20480*l - 1185*l**3 = 0. Calculate l.
-8, -4
Suppose -2*l + 3 = -5*l, -l + 5 = 2*q. Suppose r - 28 = 4*g, -5*r + g - 2*g = -56. Factor -r*c**2 + 3*c + 2*c**q + 13*c**3 + 3*c**5 + 2*c**3 - 12*c**4 + c**3.
3*c*(c - 1)**4
Suppose -2*v - 23 = -5*p - 484, -2*v = -4*p - 462. Let m = v + -931/4. Determine i so that 3/4*i + m*i**3 + 9/4 - 5/4*i**2 = 0.
-1, 3
Suppose -41*l + 225 = 34*l. Solve 2*d**2 - 2/3*d**l + 2/3 - 2*d = 0.
1
Let n(y) = -2*y**2 + 30*y + 68. Let a(c) = -4*c**2 + 60*c + 127. Let f(l) = 4*a(l) - 7*n(l). Suppose f(s) = 0. Calculate s.
-1, 16
Let m be 1/(-4) + 482/8. Solve -13*n**5 + 4 + 8*n**3 - m*n**4 + 56*n**2 - 23*n**5 + 6*n + 22*n = 0.
-1, -1/3, 1
Suppose -13*s = 460 - 460. Determine m, given that s - 8/19*m**2 - 2/19*m**5 - 4/19*m**4 + 0*m + 14/19*m**3 = 0.
-4, 0, 1
Let o(j) be the second derivative of 3*j**5/20 + 5*j**4/4 + 33*j**3/8 + 27*j**2/4 + 276*j. Solve o(z) = 0.
-2, -3/2
Suppose 16*r + 5*c = 17*r + 15, -28 = -4*r - 2*c. Let o(m) be the second derivative of -2/21*m**4 - 2/7*m**2 + 4*m + 5/21*m**3 + 1/70*m**r + 0. Factor o(s).
2*(s - 2)*(s - 1)**2/7
Suppose 288 = 12*g + 132*g. Factor 1/8*j**g + 0*j - 1/8.
(j - 1)*(j + 1)/8
Suppose 5*y = -3*x - 0*x + 19, 2 = 4*y - 2*x. Suppose y*z = a - 6*a + 29, 4*z = -5*a + 33. Factor 1/2*u**z - 2*u + 2.
(u - 2)**2/2
Let w(u) = -5*u**4 - 40*u**3 - 23*u**2 + 250*u. Let m(a) = 110*a**4 + 880*a**3 + 505*a**2 - 5500*a. Let d(q) = -2*m(q) - 45*w(q). Factor d(o).
5*o*(o - 2)*(o + 5)**2
Solve -88/3*n - 3872/3 - 1/6*n**2 = 0.
-88
Suppose -3*i - 5*p - 11 = 0, 18 = -2*i + 4*i - 3*p. Factor -k**2 + 5*k**3 + 2*k**3 - 9*k**2 - 2*k**i.
5*k**2*(k - 2)
Suppose 0 = 2*y - 4*y + 5*f + 19, -5*y + 3*f + 57 = 0. Let v be (2 + (-28)/y)*-6. Factor -5 - 2 + 3 - 18*b**v - 22*b.
-2*(b + 1)*(9*b + 2)
Suppose -g = -t + 5, 0 = 2*t + g + 4*g - 45. Factor 20*c**4 - 49*c - 6*c**2 - t - 49*c**2 + 4*c.
5*(c - 2)*(c + 1)*(2*c + 1)**2
Let f(p) = -p**3 + 11*p**2 + 13*p - 13. Let t be f(9). Let k be 2*3 - 1520/t. Factor 4/7 - 2/7*i**2 - k*i.
-2*(i - 1)*(i + 2)/7
Let a(o) be the second derivative of 1/20*o**5 + 2*o + 0*o**4 - 1/2*o**3 - o**2 + 19. Determine u so that a(u) = 0.
-1, 2
Let 212/13 - 214/13*i + 2/13*i**2 = 0. What is i?
1, 106
Let l(s) = 0 + 0*s**2 + s**2 + 4*s - 3. Let t be l(-5). Factor 3 + 9*p - 3*p**t - 5 - 4.
-3*(p - 2)*(p - 1)
Let n = -13806 + 13809. Factor -2/17*h**n - 1536/17*h + 8192/17 + 96/17*h**2.
-2*(h - 16)**3/17
Let j(r) be the first derivative of -r**6/3 + 18*r**5/5 - 15*r**4/2 + 14*r**3/3 + 427. What is k in j(k) = 0?
0, 1, 7
Let h(m) = m**2 + 92*m - 2401. Let t(w) = 6*w**2 + 457*w - 12005. Let a(b) = 11*h(b) - 2*t(b). Factor a(z).
-(z - 49)**2
Let m(d) be the third derivative of 0 - 1/4*d**4 + 0*d - 1/60*d**6 + 13*d**2 + 1/3*d**3 + 1/10*d**5. Let m(j) = 0. What is j?
1
Factor 2/5*z**4 - 676/5*z + 234/5*z**2 + 0 + 48/5*z**3.
2*z*(z - 2)*(z + 13)**2/5
Suppose 47*k - 1/2*k**2 - 2209/2 = 0. What is k?
47
Let s = 31 - 31. Let g(x) be the third derivative of s*x + 0 + 0*x**3 + 1/36*x**4 + 1/315*x**7 - 1/180*x**6 - x**2 - 1/90*x**5. Solve g(q) = 0.
-1, 0, 1
Let z(k) be the third derivative of -k**8/1680 - k**7/210 - k**6/90 + 7*k**3/3 + 3*k**2. Let b(l) be the first derivative of z(l). Find q such that b(q) = 0.
-2, 0
Let y be 243/(-72) - (-3 + 0). Let w = 1/8 - y. Factor w + 1/2*r**2 + r.
(r + 1)**2/2
Suppose -p + 16 = 4*f, -4*p - 4*f = -12 - 28. Suppose -p*m = -m. Factor -1/4*g**3 - 1/2 + 3/4*g + m*g**2.
-(g - 1)**2*(g + 2)/4
Let p(r) = 2*r**2 - 27*r - 9. Let k be p(14). Suppose 5*x = u + k, 7*x + 3*u - 5 = 12*x. Factor -2/5*c + 1/5*c**x + 1/5.
(c - 1)**2/5
Let w = 638 - 638. Find b, given that -3/4*b**5 + 3/2*b**2 + w*b**4 + 0 + 9/4*b**3 + 0*b = 0.
-1, 0, 2
Let i(p) be the first derivative of 5*p**3/6 - 50*p**2 + 1000*p + 135. Solve i(v) = 0 for v.
20
Let j(o) be the third derivative of o**8/112 - o**7/14 - o**6/40 + 17*o**5/20 + 3*o**4/2 - 53*o**2. Factor j(q).
3*q*(q - 4)*(q - 3)*(q + 1)**2
Let o(i) be the third derivative of -7*i**5/390 + 17*i**4/156 - 10*i**3/39 - 3*i**2 + 1. Determine u so that o(u) = 0.
1, 10/7
Suppose 2*m = 4*h - 6, 2*m + 11 - 8 = 3*h. Factor 0 + 15/2*g**2 - 5*g - 5/2*g**m.
-5*g*(g - 2)*(g - 1)/2
Suppose p - 105 = -2*x, -2*p + x = -19 - 201. Find k such that 47*k - 18 - 11*k - p*k**2 + 126*k**3 - 49*k**4 + 14 = 0.
2/7, 1
Suppose n = -15 - 0. Let d = n - -18. Factor -6 + 3 + 3*m**2 + 3 + m**d + 2*m.
m*(m + 1)*(m + 2)
Let p = 52862/5 + -10572. Factor -8*l + 40 + p*l**2.
2*(l - 10)**2/5
Let p be 1/10 + 1830/(-300) + 11. Solve -3/4*u**p + 33/4*u - 9/2*u**4 - 15/2*u**3 + 9/2 + 0*u**2 = 0.
-3, -2, -1, 1
Let u(w) be the first derivative of w**4/4 - 7*w**3/3 + 3*w*