5 = -64*n. Let l(c) = n*z(c) + 4*d(c). What is h in l(h) = 0?
-1, 0, 2/5
Suppose 0 = 10*b - 23 - 17. Let g(w) be the second derivative of -1/2*w**4 - 2/3*w**3 - b*w + 0 + 0*w**2 - 1/10*w**5. Solve g(j) = 0.
-2, -1, 0
Suppose 65*p - 63*p - 4 = 0. Find v such that -3*v**2 - 18*v + 2*v**p + 8*v + 6*v**2 = 0.
0, 2
Let y(q) be the first derivative of -q**5/60 + q**4/12 + 8*q**2 + 8. Let m(o) be the second derivative of y(o). Factor m(f).
-f*(f - 2)
Let s be 10 + -10 + (2 + 5 - 2). Suppose h - 14 = -s*m, -2*h + 3 + 4 = 3*m. Determine d so that 0 + 0*d**4 + 3/7*d**5 + 0*d**2 - 6/7*d**m + 3/7*d = 0.
-1, 0, 1
Let p be (267/9)/(1 + (-2)/3). Let i = p - 85. Determine q so that -q**3 + q**i + 0*q + 0 - 1/3*q**5 + 1/3*q**2 = 0.
0, 1
Let v(f) be the third derivative of -2*f**7/105 - f**6/6 - 8*f**5/15 - 2*f**4/3 - 229*f**2. Factor v(q).
-4*q*(q + 1)*(q + 2)**2
Factor 8/13*j**2 - 10/13*j + 4/13 - 2/13*j**3.
-2*(j - 2)*(j - 1)**2/13
Suppose 12 = 3*l - 30. Suppose -4*f = -4*v - 4, -l + 2 = -4*f. Let 0 - m**2 + 1 - 2*m + 2*m**v + 0*m**2 = 0. Calculate m.
1
Let g(l) be the third derivative of 0*l - 5/36*l**4 + 0 + 10*l**2 - 1/180*l**5 - 1/2*l**3. Factor g(x).
-(x + 1)*(x + 9)/3
Let v be 23/(-6) + 125/(-30) + 4. Let c be (1/v)/(6/(-36)). Let w**3 + c*w**2 + 1/4*w**4 + w + 1/4 = 0. Calculate w.
-1
Let a(f) be the first derivative of -81/4*f**4 + 39*f**3 - 20*f**2 + 11 + 4*f. Let a(v) = 0. Calculate v.
2/9, 1
Let w(c) be the third derivative of -c**6/660 + 2*c**5/55 - c**4/12 - 2*c**2 + 56*c. Factor w(u).
-2*u*(u - 11)*(u - 1)/11
Let -156*c + 120*c**3 - 222*c**2 + 168 + 82*c**3 + 9*c**4 - 138*c**3 + 47*c**3 = 0. What is c?
-14, -1, 2/3, 2
Find k such that 2/5*k**5 + 4224/5*k**3 + 188/5*k**4 - 9216/5*k**2 + 0*k + 0 = 0.
-48, 0, 2
Let c(s) be the third derivative of -s**5/270 + s**4/108 + 56*s**3/27 - 588*s**2. Factor c(b).
-2*(b - 8)*(b + 7)/9
Suppose -4*f - 12 = 5*p, -4*p = -p + 12. Factor 0 + 1/4*t**4 + 0*t - 1/4*t**5 + 1/4*t**3 - 1/4*t**f.
-t**2*(t - 1)**2*(t + 1)/4
Find w such that 36/5*w - 12/5*w**3 + 6/5*w**2 - 3/5*w**4 - 27/5 = 0.
-3, 1
Factor 24*r - 272*r**3 + 4*r**2 + 5*r**4 - 9*r**4 + 248*r**3.
-4*r*(r - 1)*(r + 1)*(r + 6)
Let u(a) be the first derivative of -3*a**4/2 + 178*a**3/3 - 645*a**2 - 450*a + 71. Factor u(d).
-2*(d - 15)**2*(3*d + 1)
Let x(h) be the second derivative of h**6/10 - 3*h**4/4 + h**3 - 9*h - 3. Let x(i) = 0. Calculate i.
-2, 0, 1
Let f(p) be the first derivative of -p**7/5460 + p**6/585 - p**5/195 + 28*p**3/3 + 6. Let d(w) be the third derivative of f(w). Find z, given that d(z) = 0.
0, 2
Let c = 1696/2543 - 2/7629. Let f(z) be the second derivative of -9*z + 0*z**2 - 49/20*z**5 - c*z**3 + 7/3*z**4 + 0. Let f(q) = 0. What is q?
0, 2/7
Let z(n) = -2*n - 1. Let o be z(33). Let y = o - -70. Determine u, given that 3/7 + 3/7*u**y - 3/7*u - 3/7*u**2 = 0.
-1, 1
Let t(o) be the second derivative of -o**5/40 + 7*o**4/24 - 11*o**3/12 + 5*o**2/4 + 18*o - 1. Factor t(v).
-(v - 5)*(v - 1)**2/2
Let t(r) = -r**2 - 26*r + 196. Let s be t(6). Factor 2/3*c**3 + 1/3*c**5 + 0 + 0*c + 5/6*c**s + 1/6*c**2.
c**2*(c + 1)**2*(2*c + 1)/6
Let n(o) be the third derivative of -o**9/840 + 11*o**8/4200 - o**7/1050 - 10*o**3/3 + 17*o**2. Let j(p) be the first derivative of n(p). Factor j(s).
-2*s**3*(s - 1)*(9*s - 2)/5
Suppose 2 = u - 5*n, 3*u - 14 = 4*u + 3*n. Let m be u/(-12) - (1 - 14/6). Suppose 2/7*i**4 - 2/7*i**3 - 4/7 + 10/7*i - 6/7*i**m = 0. Calculate i.
-2, 1
Let -2/7*u**2 - 2/7*u + 2/7 + 2/7*u**3 = 0. What is u?
-1, 1
Solve -41 + 3*p + 6*p**2 + 2*p**5 - 4*p**2 - 2*p**3 - 3*p**5 - 3*p**4 + 42 = 0 for p.
-1, 1
Let p(m) be the second derivative of -m**6/30 + 9*m**5/20 - 2*m**4 + 8*m**3/3 - 7*m - 7. Factor p(l).
-l*(l - 4)**2*(l - 1)
Suppose -k + 3*v + 1 = 0, 2*v = 2*k - 3*k + 6. Suppose 22*q + 2*q**3 - k*q**3 - 24*q + 4*q**2 = 0. What is q?
0, 1
Let f(v) be the first derivative of v**5/5 - 10*v**3/3 + 9*v - 66. Find n, given that f(n) = 0.
-3, -1, 1, 3
Suppose 3*f - 23 = 4*z - 5*z, 0 = z - 3*f - 23. Let -z*d**2 + 179*d**3 - 169*d**3 + 8*d**2 + 5*d**4 = 0. What is d?
-3, 0, 1
Let j(o) be the third derivative of o**7/210 + 13*o**6/60 + 47*o**5/20 - 91*o**4/6 + 98*o**3/3 + 2*o**2 + 29*o. Find d, given that j(d) = 0.
-14, 1
Suppose i - 85 = -4*q, 0 = -2*q + 3*i - 4 + 29. Let p be (-12)/q - 3/(-3). Factor 0*f + 0 + 0*f**2 - p*f**3 - 2/5*f**4.
-2*f**3*(f + 1)/5
Let 4*c**2 + 1 + 5 - 9*c**2 + 4*c**2 + c = 0. Calculate c.
-2, 3
Let p(v) be the first derivative of -4*v**5/5 - 13*v**4 + 4*v**3/3 + 26*v**2 - 80. Factor p(q).
-4*q*(q - 1)*(q + 1)*(q + 13)
Suppose -11*l = -37*l + 19006. Let g be l/172 - (-1)/(-4). Find d, given that -49/3*d**g - 277/3*d**2 - 266/3*d**3 + 76*d - 12 = 0.
-3, 2/7
Let l(o) be the second derivative of -16*o**2 - 16/3*o**3 + 2/5*o**5 + 0*o**4 + 1/15*o**6 + 10*o + 0. Factor l(k).
2*(k - 2)*(k + 2)**3
Let u(k) = -k**4 + 7*k**3 - 6*k**2 + 7*k + 7. Let i(f) = -f**2 + 2*f + 1. Let m(l) = -14*i(l) + 2*u(l). Determine y, given that m(y) = 0.
-1, 0, 1, 7
Let r(m) be the first derivative of -m**3 + 6*m + 3/2*m**2 + 33. Factor r(u).
-3*(u - 2)*(u + 1)
Let n(l) = -l**5 - 4*l**4 - 7*l**3 - 3*l - 3. Let k(i) = 2*i**5 + 6*i**4 + 8*i**3 + 4*i + 4. Let r(y) = 3*k(y) + 4*n(y). Factor r(x).
2*x**3*(x - 1)*(x + 2)
Let w(d) be the second derivative of 5/12*d**4 - 1/4*d**5 + 0*d**3 - 23*d + 0*d**2 + 0. Factor w(z).
-5*z**2*(z - 1)
Suppose -8 = 2*x - 12. Let o = x - 0. Determine b, given that -o - 1/2*b**2 - 2*b = 0.
-2
Suppose 0 = 9*k - k. Factor -31*d**2 - d + 63*d**2 + k*d - 33*d**2 + 2.
-(d - 1)*(d + 2)
Let w(x) be the second derivative of -x**6/180 + x**4/36 - 13*x**2 + 6*x. Let d(l) be the first derivative of w(l). Find t such that d(t) = 0.
-1, 0, 1
Suppose 3*r = -r + 28. Solve -10*p**4 + 40*p**2 + 9*p**3 + 2*p**5 - r*p**5 + 11*p**3 = 0.
-2, 0, 2
Let h(y) be the first derivative of y**4/2 - 3*y**2 - 4*y - 2. Let h(n) = 0. Calculate n.
-1, 2
Let f(h) be the first derivative of 3*h**4/4 - 246*h**3 + 45387*h**2/2 + 161. Factor f(l).
3*l*(l - 123)**2
Let w be -5 + 325/45 + -2. Suppose 0 = -5*p - 10 + 20. Solve -8/9*q - w*q**p + 0 = 0.
-4, 0
Let h = 2/2377 + 7117/16639. Solve 6/7*j - 6/7*j**3 - h*j**4 + 3/7*j**2 + 0 = 0 for j.
-2, -1, 0, 1
Factor -9/5*b - 6/5 + 6/5*b**2.
3*(b - 2)*(2*b + 1)/5
Let n be (-55)/(-28) - 352/(-1232). Let 0 + 0*x + 0*x**2 + 3/4*x**4 - n*x**3 = 0. What is x?
0, 3
Let k(c) be the first derivative of c**8/336 - c**7/168 - c**6/36 - 14*c**3/3 - 20. Let p(a) be the third derivative of k(a). Suppose p(n) = 0. Calculate n.
-1, 0, 2
Factor -4/3*d + 0 - 1/3*d**2.
-d*(d + 4)/3
Let m(w) be the second derivative of 1/2*w**3 + 14*w + 0 + 2*w**2 - 1/12*w**4. Factor m(g).
-(g - 4)*(g + 1)
Let l(t) be the first derivative of -5*t**3/3 - 5*t**2/2 + 30*t + 109. Determine x, given that l(x) = 0.
-3, 2
Let v(y) = 23*y**2 - 78*y - 2. Let m(q) = -46*q**2 + 158*q + 5. Let w(c) = 6*m(c) + 11*v(c). Suppose w(f) = 0. What is f?
-2/23, 4
Let m(q) = 6*q**3 + 3. Let d(k) = -11*k**3 - k**2 - 5. Let r be ((-5)/15)/((-1)/15). Let n(y) = r*m(y) + 3*d(y). Suppose n(i) = 0. Calculate i.
-1, 0
Factor 28 + 37 + 25*z - 55 + 20*z**3 - 40*z**2 - 5*z**2 - 10*z**2.
5*(z - 2)*(z - 1)*(4*z + 1)
Suppose -2*n = -6*n - 2*v - 38, -3*v = -3*n - 6. Let k = n + 9. Factor 15*s**k - 6*s - 5*s**2 - 4*s + 4 - 4*s.
2*(s - 1)*(5*s - 2)
Let p = 0 + 2. Let v be 0 - -3 - 56/24. Factor 2/3*y - 4/3 + v*y**p.
2*(y - 1)*(y + 2)/3
Let l(o) be the first derivative of 3*o**5/20 + o**4/2 + o**3/2 - 11*o + 3. Let w(d) be the first derivative of l(d). Let w(m) = 0. What is m?
-1, 0
Let m(h) be the third derivative of -h**6/120 + 11*h**5/60 - 3*h**4/4 + 3*h**2 + 4*h. Factor m(u).
-u*(u - 9)*(u - 2)
Factor 0 + 35/2*g - 5/4*g**2.
-5*g*(g - 14)/4
Suppose -4*c + 10 = 3*i - i, 0 = 3*c - 5*i - 1. Solve -a**c - 1/2 + 5/4*a + 1/4*a**3 = 0 for a.
1, 2
Suppose 0 = -2*v + 178 - 60. Let l = -34 + v. Factor 4*z**2 - 18*z + l*z + 2 + z**2.
(z + 1)*(5*z + 2)
Let i be 140/105*3/14. Let q(o) be the first derivative of 0*o**2 + 2/21*o**3 - 5 - i*o. Factor q(m).
2*(m - 1)*(m + 1)/7
Suppose 4*i - 42 + 34 = 0. Factor 5*x - 8*x**i + 3*x**2 - 15*x.
-5*x*(x + 2)
Let y(i) be the second derivative of i**6/210 - i**5/14 + 5*i**4/21 + 5*i**3/21 - 3*i**2/2 + 84*i. Let y(q) = 0. Calculate q.
-1, 1, 3, 7
Suppose 2*u = -3*j - u - 66, 