8)/(-44). Let v = -316 - g. Suppose -8/5*q - 9/5*q**v + 1/5 = 0. What is q?
-1, 1/9
Factor 72 + 1/2*k**4 + 57/2*k - 77/2*k**2 + 11/2*k**3.
(k - 3)**2*(k + 1)*(k + 16)/2
Solve 702*q - 650*q - 532*q - 888*q + 4*q**2 + 1364 = 0.
1, 341
Find u, given that 105/2 - 137/3*u**2 + 73/2*u - 41/6*u**4 - 1/6*u**5 - 109/3*u**3 = 0.
-35, -3, -1, 1
Solve -2484*u**2 + 2532*u**2 - u**4 + 20*u - 148*u = 0 for u.
-8, 0, 4
Let o(c) be the first derivative of -2*c**3/57 + 2*c**2/19 + 160*c/19 - 412. Let o(n) = 0. Calculate n.
-8, 10
Let o(l) be the second derivative of -l**4/15 - 16732*l**3/15 - 34994978*l**2/5 + 13901*l. Find u, given that o(u) = 0.
-4183
Let u be (1630/(-160) - -10) + 134/32. Suppose 2/11*l**3 - 2/11*l - 6/11*l**2 + 4/11 + 2/11*l**u = 0. Calculate l.
-2, -1, 1
Let l(g) be the first derivative of g**6/360 + g**5/20 + 3*g**4/8 + 2*g**3/3 + 13*g**2/2 + 22. Let y(i) be the third derivative of l(i). Factor y(v).
(v + 3)**2
Let c = 7118929/157035 - 3/52345. Find y such that 130/3*y**3 - c*y - 32/3 - 25/3*y**4 - 28*y**2 = 0.
-2/5, 2, 4
Let y(n) be the first derivative of -n**4/18 + 632*n**3/27 - 629*n**2/9 + 628*n/9 + 728. Factor y(f).
-2*(f - 314)*(f - 1)**2/9
Let h be 7840/(-4704)*(-54)/25. Factor h*f + 0 + 2/5*f**4 + 22/5*f**3 + 38/5*f**2.
2*f*(f + 1)**2*(f + 9)/5
Let g = 113520 + -567588/5. Factor -12/5 + 3/5*q - 3/5*q**3 + g*q**2.
-3*(q - 4)*(q - 1)*(q + 1)/5
Let o = -6034744/7 + 859148. Let j = 2964 + o. Find h, given that -4/7 + 2/7*h + j*h**5 + 32/7*h**2 - 8*h**4 - 2*h**3 = 0.
-1/2, 2/5, 1
Suppose -28 = 2*q + 2. Let t = q + 17. Find c such that 9*c**t + 0*c**3 - 18 - 6*c**3 - 3*c**4 + 6 + 12*c = 0.
-2, 1
Suppose 568 = 23*u - 15*u. Let u*q - 5*q**2 + 32*q**2 - 3*q**3 + 81 - 152*q = 0. Calculate q.
3
Let a(u) = 8*u**2 - 7*u - 5. Let b(i) = i + 7. Let m be b(-11). Let k be 4/m*(-3 - 0). Let x(g) = 7*g**2 - 8*g - 5. Let o(f) = k*a(f) - 2*x(f). Factor o(d).
5*(d - 1)*(2*d + 1)
Let y(q) be the first derivative of -q**3/12 + 39*q**2/8 + 135*q/2 - 274. Factor y(x).
-(x - 45)*(x + 6)/4
Factor 175*v + 348 + 1/2*v**2.
(v + 2)*(v + 348)/2
Let s(z) = 2*z**2 - 33*z + 226. Let d be s(15). Let k = d - 539/3. Factor -1/3*x**2 - k - 8/3*x + 1/3*x**4 - 1/3*x**5 + 5/3*x**3.
-(x - 2)**2*(x + 1)**3/3
Let t(f) be the first derivative of -20/3*f**3 + 66 + 1/4*f**4 + 50*f**2 + 0*f. Solve t(b) = 0 for b.
0, 10
Let l be 4 + ((-24)/18)/(2/(-30)). Suppose -94*o + l*o**2 - 98*o + 219*o - 3*o**3 = 0. What is o?
-1, 0, 9
Let k(v) be the second derivative of 0*v**2 + 0*v**3 + 61 + 23/12*v**5 + 5/126*v**7 - 55/36*v**4 - 13/18*v**6 + 2*v. Determine p, given that k(p) = 0.
0, 1, 11
Let z(i) be the first derivative of 1/120*i**5 - 1/480*i**6 + 0*i**3 - 1/96*i**4 - 43/2*i**2 + 38 + 0*i. Let b(k) be the second derivative of z(k). Factor b(j).
-j*(j - 1)**2/4
Let h = -305 - -1221/4. Suppose -4*p = -0*p - 4*m - 16, 4*m = -5*p - 16. Factor 0*y + p + 1/4*y**3 + h*y**2.
y**2*(y + 1)/4
Let i be (-14)/(-4) + 891/(-891). Determine q, given that 0*q - 1/4*q**4 + 11/4*q**3 + 0 - i*q**2 = 0.
0, 1, 10
Let w(f) be the third derivative of -3*f - 7/33*f**3 + 8*f**2 + 2/33*f**4 + 0 - 1/330*f**5. Factor w(d).
-2*(d - 7)*(d - 1)/11
Let -378*b - 2*b**2 - 1721*b + 13*b + 42*b = 0. What is b?
-1022, 0
Solve -10154 - 964*g + 149575 + 2*g**2 - 23259 = 0 for g.
241
Let s = 775130/1744083 - -2/193787. Let -s*t**4 - 4/9*t**3 + 16/9*t + 0 + 16/9*t**2 = 0. Calculate t.
-2, -1, 0, 2
Let g(i) = 5*i - 49. Let f be g(9). Let t(c) = -6*c + 6. Let s be t(f). Suppose 22*b**2 - 8*b**3 - s*b**4 + 12 + 31*b**4 - 3 - 24*b = 0. Calculate b.
1, 3
Suppose -2*l = r - 3, 20 - 5 = 5*r + 4*l. Suppose -5*g**3 - 10*g**r - g + 20*g**3 - 4*g - 15*g**2 + 15 = 0. What is g?
-1, 1, 3
Suppose 4 = c, -5*x + 4 = -2*c - 8. Factor 2*q**x - 8*q**4 + 4*q**4 + 6*q**3 + 2*q**2 - 9*q**2 + 3*q**2.
-2*q**2*(q - 2)*(q - 1)
Let l(a) be the first derivative of -a**3/3 - 117*a**2/2 - 1530*a - 3445. Factor l(u).
-(u + 15)*(u + 102)
Let g be ((-16)/5 + 2)*25/(-3450). Let u = g - -367/115. Find m such that 32/5 + 2/5*m**2 + u*m = 0.
-4
Let k be ((4440/(-1554))/(12/14))/(25/(-10)). Let 1/6*n**2 - n + k = 0. What is n?
2, 4
Let v be 275/660*(-2)/(-5). Suppose 0*b + v*b**5 + 0 + 0*b**2 - 1/3*b**4 + 1/6*b**3 = 0. What is b?
0, 1
Let h(l) = 33*l**3 - 21*l**2 + 18*l - 18. Let y = 265 - 283. Let k(z) = 2*z**3 - z**2 + z - 1. Let p(x) = y*k(x) + h(x). Find b such that p(b) = 0.
-1, 0
Let x = -7/1236 + -218147/1236. Let f = x - -178. Factor -f*l + 3/2*l**2 + 0.
3*l*(l - 1)/2
Let a(b) be the third derivative of 0*b**3 + 1/5*b**5 - 4*b**2 - 20*b - 2/105*b**7 + 0*b**6 + 0 + 1/3*b**4. Solve a(d) = 0.
-1, 0, 2
Let h(z) be the second derivative of z**4/24 + 8*z**3 + 95*z**2/4 - 31*z. Solve h(c) = 0.
-95, -1
Let y be (84/(-56))/(12/(-20)). Let i(t) be the first derivative of -6 - 10/3*t**3 - y*t**2 + 10*t + 5/4*t**4. Factor i(q).
5*(q - 2)*(q - 1)*(q + 1)
Suppose -y - 2 = -3*f - 5*y, -4*y - 10 = -3*f. Let p(u) be the first derivative of -2*u**f - 14*u - 2/21*u**3 - 20. Determine g so that p(g) = 0.
-7
Let d(f) = 52*f**3 - 2*f**2 - 52*f + 128. Let u(l) = -3*l**3 - 2*l**2 - 2*l. Let c(q) = 2*d(q) + 36*u(q). Find x such that c(x) = 0.
-16, -4, 1
Let p(t) be the second derivative of 1/4*t**4 + 5/2*t**3 + 9/2*t**2 - 3 + 3*t - 3/20*t**5. Solve p(d) = 0.
-1, 3
Let x(p) be the third derivative of -p**7/140 - 1207*p**6/40 - 1459261*p**5/40 - 727821*p**4/4 - 363609*p**3 - 7*p**2 + 249. Factor x(w).
-3*(w + 1)**2*(w + 1206)**2/2
Let a(q) = 5*q**2 + 56*q + 14. Let i be a(-11). Let u be 4 + (-2 + -1)*2/i. Determine f so that 5*f + 5/2*f**u + 0 = 0.
-2, 0
Let k(t) be the third derivative of -6*t**8/7 + 172*t**7/35 - 557*t**6/48 + 577*t**5/40 - 161*t**4/16 + 49*t**3/12 - 596*t**2. Let k(x) = 0. Calculate x.
7/24, 1
Let l(r) be the second derivative of r**4/12 + 69*r**3 + 42849*r**2/2 - 730*r. Factor l(o).
(o + 207)**2
Let d(k) = 2*k**2 - k - 66. Let z(b) = -7*b**2 - 931*b - 4425. Let m(i) = -5*d(i) - z(i). Suppose m(q) = 0. Calculate q.
-5, 317
Let w be 3*(-12 - (-73)/6). Let j(q) be the second derivative of 1/20*q**4 + 18*q - 3/10*q**2 + 0 - w*q**3 + 3/20*q**5. Factor j(u).
3*(u - 1)*(u + 1)*(5*u + 1)/5
Let k(a) = -35*a**4 + 165*a**3 - 156*a**2 - 64*a. Suppose 9*d - 48 = -12. Let g(f) = -f**2 + f. Let c(q) = d*g(q) + k(q). Factor c(n).
-5*n*(n - 3)*(n - 2)*(7*n + 2)
Let j = 21614 + -1148. Determine f, given that -f**3 + 20494*f**2 - j*f**2 + 5*f**3 = 0.
-7, 0
Let z = -9 + 41. Suppose -28*k + 32*k - z = 0. Suppose -3*d**4 - 21*d**3 - 32*d**2 + 14*d + k*d**2 + 34*d = 0. What is d?
-4, 0, 1
Let n(i) = 2*i - 3 - 4 - 9 - 4. Let o be n(10). Factor 6*v**2 + o*v**2 - 3*v**2 - 10*v + 12 - 5*v.
3*(v - 4)*(v - 1)
Let n(d) be the third derivative of 0*d + 0 + 29/20*d**6 - 4/21*d**7 - 19/10*d**5 - 129*d**2 - 17/3*d**4 - 4*d**3. Determine i so that n(i) = 0.
-2/5, -1/4, 2, 3
Let f(c) be the first derivative of -6*c**2 + 4*c**3 + 7/4*c**4 - 5*c - 3/4*c**5 + 13. Let p(x) be the first derivative of f(x). Determine u so that p(u) = 0.
-1, 2/5, 2
Let b be (-93)/2511 - (-875)/5400. Factor -5/8*u**2 + b*u**3 + 7/8*u - 3/8.
(u - 3)*(u - 1)**2/8
Suppose -5*w + 213 = -2*v + 10, -3*w = 5*v - 97. Let i be 1/(-6)*10 - (35 - w). Suppose 1/3*p**5 + 2/3*p**4 - 4/3 - 8/3*p**3 + 2/3*p**2 + i*p = 0. Calculate p.
-4, -1, 1
Let p(i) be the second derivative of -3*i + 1/65*i**5 - 1/78*i**4 - 3 + 1/195*i**6 + 0*i**2 - 2/39*i**3. Factor p(r).
2*r*(r - 1)*(r + 1)*(r + 2)/13
Suppose -3 = 5*v + a, -6*a = v - a - 9. Let r(m) = -2*m**3 + 10*m**2 + 11*m + 5. Let p(o) = -o**3 + o**2 - o - 1. Let c(d) = v*r(d) + 3*p(d). Factor c(q).
-(q + 1)*(q + 2)*(q + 4)
Let o(g) be the first derivative of -g**6/75 + 3*g**5/50 - 41*g - 30. Let v(c) be the first derivative of o(c). Factor v(u).
-2*u**3*(u - 3)/5
Let t be -3*(175/21 - 9). Factor -5 + 125*n - 102 - 13 - 9*n**t + 4*n**2.
-5*(n - 24)*(n - 1)
Let v(t) be the second derivative of 3*t**6/7 - 86*t**5/35 - 87*t**4/14 - 8*t**3/7 + 20*t**2/7 + 856*t. Find z, given that v(z) = 0.
-1, -2/5, 2/9, 5
Let r(q) be the first derivative of -3*q**4/4 - 226*q**3 - 38307*q**2/2 - 1886. Determine k, given that r(k) = 0.
-113, 0
Let d(o) be the third derivative of -1/80*o**5 + 1/840*o**7 - 1/48*o**4 + 0*o**3 + 0*o + 0*o**6 + 0 - 58*o**2. Determine i so that d(i) = 0.
-1, 0, 2
Factor -86/15*z + 2