 - 20*l + 12. Let c be n(16). Let x = -311/6 - c. Find m, given that 0*m + 1/6*m**4 + x - 1/3*m**2 + 0*m**3 = 0.
-1, 1
Let y(w) be the third derivative of w**5/60 + w**4/12 + w**3/2 - w**2. Let p be y(0). Factor 1 - 3 - 4*d**p + 12*d - 19*d**2 + 6 - 8*d**3.
-(d + 2)*(3*d - 2)*(4*d + 1)
Suppose 2*y + 3*s = 11, -23 = 5*y + s - 70. Suppose 22 + 8 = y*a. Find k such that 0*k + 0*k**2 - 1/4*k**a + 0 = 0.
0
Let n(b) = 20*b**3 - 20*b**2. Let w(x) = x**2. Suppose 2*m - 14 + 12 = 0. Let f(c) = m*n(c) + 16*w(c). Solve f(z) = 0 for z.
0, 1/5
Let d be (-14)/(-4) - (11 - 9). Let j(o) be the first derivative of 1 - 5/3*o**3 + 1/4*o**4 + d*o**2 + 9*o. Let j(w) = 0. Calculate w.
-1, 3
Let a be ((-1 - -3) + 1)*(22 - (-8626)/(-684)). Let -1/6*g**2 + 13/3*g - a = 0. What is g?
13
Let p(g) = -14*g**2 - 268*g + 108. Let k(n) = -5*n**2 - 107*n + 43. Let l(q) = 12*k(q) - 5*p(q). Find h such that l(h) = 0.
-6, 2/5
Factor -96 + v**4 - 291*v + 612*v**2 + 396*v + 4*v**4 + 213*v**3 + 363*v + 13*v**4.
3*(v + 2)**2*(v + 8)*(6*v - 1)
Solve -168/11 - 218/11*m - 48/11*m**2 + 2/11*m**3 = 0.
-3, -1, 28
Suppose -23 = -4*t + k, 4*t + 5*k = -0 + 29. Suppose 0 = -2*x - 4*z - t, 4*x + 4*z - 2*z - 12 = 0. What is r in 14*r + 8*r**2 + 11 + 2*r**2 + 2*r**3 - x = 0?
-3, -1
Let z(v) be the first derivative of 1/2*v + 13/9*v**3 - 4/3*v**2 - 2/3*v**4 + 1/10*v**5 - 6. Let z(i) = 0. Calculate i.
1/3, 1, 3
Let n = 436/19 - 6994/323. Let 8/17*y + 6/17*y**4 + 0 + n*y**3 + 24/17*y**2 = 0. What is y?
-2, -1, -2/3, 0
Let x(m) be the third derivative of -m**6/135 + m**5/90 + m**4/108 + m**2 + 24*m. Find w such that x(w) = 0.
-1/4, 0, 1
Factor -52/7*l**2 + 0 - 48/7*l - 4/7*l**3.
-4*l*(l + 1)*(l + 12)/7
Let t(m) be the first derivative of -2*m**3/15 + 436*m**2/5 - 95048*m/5 + 387. Factor t(q).
-2*(q - 218)**2/5
Let -16/7*l + 48/7 - 4/7*l**2 = 0. Calculate l.
-6, 2
Let a(n) be the first derivative of -n**4 + 8*n**2 + 226. Factor a(g).
-4*g*(g - 2)*(g + 2)
Let h be 6 + 4 + (-4)/((-20)/(-25)) + -2. Suppose 1/2*c**h + 5/2*c**2 + 2 + 4*c = 0. What is c?
-2, -1
Let f(l) = 4*l**2 - 32*l + 50. Let p be f(6). Determine g, given that -8/11*g**p + 0 + 2/11*g**3 + 8/11*g = 0.
0, 2
Let a(p) = p**4 - 3*p**2 - 10*p + 2. Let d(z) = -5*z**4 + 3*z**3 + 12*z**2 + 40*z - 9. Let b(f) = -18*a(f) - 4*d(f). Factor b(v).
2*v*(v - 5)*(v - 2)*(v + 1)
Let u(i) be the second derivative of i**5/80 - i**4/3 - 55*i**3/24 - 19*i**2/4 - 112*i - 1. Factor u(v).
(v - 19)*(v + 1)*(v + 2)/4
Let c = 1397 - 1397. Let d(z) be the second derivative of -1/12*z**4 + c + z**3 + 12*z - 9/2*z**2. Factor d(t).
-(t - 3)**2
Let z = 1969 - 1965. Let b(c) be the first derivative of z + 0*c - 1/4*c**2 + 1/12*c**3 + 1/16*c**4. Find m such that b(m) = 0.
-2, 0, 1
Let x be (112 - 106) + (-1 - 11/3). Suppose -8/9*h - 1/9*h**2 - x = 0. Calculate h.
-6, -2
Let b(y) be the first derivative of y**3/9 + 5*y**2/2 + 14*y/3 - 12. Factor b(z).
(z + 1)*(z + 14)/3
Factor -72/5 + 3/5*l**2 + 6*l.
3*(l - 2)*(l + 12)/5
Determine a, given that -14/5*a**3 - 48/5 + 8/15*a + 36/5*a**2 + 2/15*a**4 = 0.
-1, 2, 18
Let x(j) be the third derivative of j**5/120 + 5*j**4/24 + 4*j**3/3 + 8*j**2. Solve x(g) = 0 for g.
-8, -2
Let x be 6/(-5)*(-10)/4. Factor x*y - 4*y**3 - 10*y - y + 12*y**2.
-4*y*(y - 2)*(y - 1)
Let p(x) be the second derivative of -x**4/48 + 31*x**3/24 - 15*x**2/4 + 179*x. What is q in p(q) = 0?
1, 30
Let u(r) be the first derivative of -7*r**5/5 + 79*r**4/12 - 35*r**3/3 + 19*r**2/2 - 10*r/3 + 362. Find t, given that u(t) = 0.
1/3, 1, 10/7
Let b = -8 - -13. Suppose -47 = -16*n + 1. Determine q, given that 0 + 0*q**4 + 4/5*q**n + 0*q**2 - 2/5*q**b - 2/5*q = 0.
-1, 0, 1
Let q(j) be the second derivative of -j**5/6 + 31*j**4/18 - 2*j**3/3 + j - 10. Determine u, given that q(u) = 0.
0, 1/5, 6
Factor -36/7 + 34/7*v + 2/7*v**2.
2*(v - 1)*(v + 18)/7
Suppose -4*h + 8 = -6*h. Let i be 4/h - 9/(-3). Factor 7 + 12*l**2 + 2*l**4 - 8*l + i - 7 - 8*l**3.
2*(l - 1)**4
Let 16/7*m**4 + 0*m - 2/7*m**3 + 0 - 16/7*m**2 + 2/7*m**5 = 0. Calculate m.
-8, -1, 0, 1
Suppose 21*c + 561 - 603 = 0. Determine q so that 3/2*q - 1/2*q**3 + 0*q**c + 1 = 0.
-1, 2
Let g(b) be the first derivative of b**4/90 + b**3/15 + 29*b + 7. Let f(n) be the first derivative of g(n). Factor f(y).
2*y*(y + 3)/15
Suppose 4*n = l - 11, 3*l + 4*n - 1 = -0*l. Factor 171*s**4 - 6*s**2 + s**l - 169*s**4 + 0*s**2 - s**5 + 4*s**2.
-s**2*(s - 2)*(s - 1)*(s + 1)
Let u(s) be the first derivative of s**5 + 75*s**4/4 + 65*s**3/3 - 75*s**2/2 - 70*s + 1001. Let u(m) = 0. Calculate m.
-14, -1, 1
Let x = 0 - -4. Suppose 1147*f = 1142*f + 2*w + 19, 0 = 2*w + 4. Factor 0 - 1/2*l**2 + 1/2*l**x - 1/2*l**f + 1/2*l.
l*(l - 1)**2*(l + 1)/2
Let k(s) = -s**2. Suppose -12 = -3*l + 4*m, 2*l + 2*l - 16 = m. Let p(d) = d**3 - 9*d**2 - 11*d - 6. Let j(h) = l*p(h) - 20*k(h). Factor j(i).
4*(i - 6)*(i + 1)**2
Let g be (-4)/3*((-104)/32 - -3). Factor -2/3*j**3 + 2/3*j - g*j**4 + 0 + 1/3*j**2.
-j*(j - 1)*(j + 1)*(j + 2)/3
Let b(q) be the second derivative of 0*q**3 - 1/4*q**4 - 1/10*q**6 - q + 0*q**2 + 0 + 3/10*q**5. Find s such that b(s) = 0.
0, 1
Let j(x) be the third derivative of x**6/108 - x**5/135 - 20*x**4/27 + 32*x**3/27 - 112*x**2. Factor j(o).
2*(o - 4)*(o + 4)*(5*o - 2)/9
Let q(t) be the first derivative of -10 - 6*t**2 + 16/3*t + 8/3*t**3 - 1/3*t**4. What is h in q(h) = 0?
1, 4
Suppose 26*n - 4*n + 220 = 0. Let a be (34/n - 0/(-10)) + 4. Factor -2/5 - 1/5*m + a*m**2.
(m - 1)*(3*m + 2)/5
Suppose 0 = -4*h - g + 6, -g - 22 = -h - 13. Factor 4/7*i + 0*i**2 - 4/7*i**h + 0.
-4*i*(i - 1)*(i + 1)/7
Factor 1/6*f**2 + 1/3*f - 1/2.
(f - 1)*(f + 3)/6
Determine j, given that 166375/2 + 184525/4*j + 167/4*j**3 + 9405/4*j**2 + 1/4*j**4 = 0.
-55, -2
Let q(g) = -g**2 - 2*g + 5. Let n be q(-3). Suppose -b - 1 = -8. Factor -52*k + 6*k**3 - b + 12*k**4 - 9 - 36*k**2 + n*k**3 + 4*k.
4*(k - 2)*(k + 1)**2*(3*k + 2)
Let v(i) = -10*i**3 - 60*i**2 + 320*i - 360. Let o(t) = -5*t**3 - 29*t**2 + 160*t - 180. Let r(u) = 5*o(u) - 2*v(u). Factor r(m).
-5*(m - 2)**2*(m + 9)
Let v(s) be the third derivative of -s**5/20 + 12*s**4 - 95*s**3/2 + 1018*s**2. Solve v(l) = 0.
1, 95
Let q = 121 - 118. Let w(u) be the third derivative of 0*u**5 + 0*u + 0*u**q + 1/72*u**4 - 1/360*u**6 - 5*u**2 + 0. Factor w(c).
-c*(c - 1)*(c + 1)/3
Let u = -8 + 10. Suppose -3*i + 7 = 3*h - 2, u*i + 4*h - 6 = 0. Factor -2*o**2 - 2*o**4 + o**4 - o**2 + o + 3*o**i.
-o*(o - 1)**3
Let z = -4744 + 19101/4. Factor -5/4*g**2 + 25/2*g - z.
-5*(g - 5)**2/4
Let z(i) be the third derivative of -i**5/90 + 11*i**4/12 + 97*i**2 + 1. Factor z(x).
-2*x*(x - 33)/3
Let t(c) be the first derivative of 12*c**3/5 + 28*c**2/5 - 32*c/5 + 92. Factor t(w).
4*(w + 2)*(9*w - 4)/5
Find o such that -24*o**2 + 21*o**3 + 3*o - 9/2*o**4 + 9/2 = 0.
-1/3, 1, 3
Let i(c) be the first derivative of -c**6/33 - 2*c**5/55 + 3*c**4/11 - 4*c**3/33 - 5*c**2/11 + 6*c/11 + 141. Solve i(a) = 0 for a.
-3, -1, 1
What is z in 12/5 + 0*z**2 + 2/5*z**3 - 14/5*z = 0?
-3, 1, 2
Let g(y) be the third derivative of -y**6/180 - y**5/210 - 5*y**3/3 + 21*y**2. Let q(m) be the first derivative of g(m). Factor q(b).
-2*b*(7*b + 2)/7
Let p be -4 - ((-32)/28)/(12/56). Solve p + 2/3*d - 2/3*d**2 = 0.
-1, 2
Factor 1/4*t**2 + 31/4*t - 8.
(t - 1)*(t + 32)/4
Find z such that -1/2*z**5 - 115/2*z**3 - 32 - 104*z - 19/2*z**4 - 241/2*z**2 = 0.
-8, -1
Let x be 1148/189 + 3 + -9. Let b(o) be the first derivative of -2/9*o + 1/18*o**4 - 1/9*o**2 + 2 + x*o**3. Determine d so that b(d) = 0.
-1, 1
Let x(h) = -h**3 + 13*h**2 + 43*h - 190. Let l be x(15). Let 5/3*k**l + 0 - k**2 + 2/3*k - 7/3*k**3 + k**4 = 0. Calculate k.
-1, 0, 2/5, 1
Let b be (243/(-90))/(42/(-28)) + (-1)/(-5). Suppose 2*q - 8/5*q**b + 2/5*q**3 - 4/5 = 0. Calculate q.
1, 2
Let x = 18205/63 - 2022/7. Let x*n**3 + 1/3*n + 1 - 5/9*n**2 = 0. Calculate n.
-1, 3
Let q(y) = 14*y**2 + 8*y - 4. Let i be q(-2). Suppose -34*g = -i*g + 4. Suppose 2/15*o**g - 2/15*o**3 + 2/3*o + 2/5 = 0. What is o?
-1, 3
Let a(f) be the third derivative of 0*f + 0 - 25*f**2 - 1/480*f**5 + 1/64*f**4 - 1/24*f**3. Factor a(p).
-(p - 2)*(p - 1)/8
Suppose 0*d - 3*d = -6. Solve -445*z**2 + 217*z**2 + 225*z**d = 0.
0
Let g be (3/(-84))/(-1)*12/90. Let f(h) be the third derivative of 0*h**3 - g*h**5 + 0*h + 0 - 1/42*h**4 + 5*h**2. Factor f(t