*2 + 0*g. Determine l so that u(l) = 0.
-1, 0, 2/3, 2
Suppose 10*h + 36 = 14*h. Let i(z) = -z**3 + z**2 - z + 3. Let r be i(0). Factor 14*v - 9 - h*v**r - 8*v - 11*v**2 + 15*v + 6*v**4 + 2*v**2.
3*(v - 1)**3*(2*v + 3)
Let g(v) be the third derivative of v**8/616 - v**7/231 - 19*v**6/330 + 7*v**5/55 + 3*v**4/4 + 9*v**3/11 + 10*v**2 - 2*v. Determine z so that g(z) = 0.
-3, -1, -1/3, 3
Let w(s) = s**2 - 2. Let g be w(-2). Factor -5*d**2 - d**g - 4*d + d**2 + 3*d**2.
-2*d*(d + 2)
Let 3 - 3 + 3112*h - 5*h**2 - 3067*h = 0. What is h?
0, 9
Suppose 48*p + 852 = 42*p. Let b = p - -144. Solve -4/7 - 5/7*o - 1/7*o**b = 0.
-4, -1
Let k be (-232)/(-78) + -1 + (3 - (-364)/(-78)). Factor -8/13*y**4 - k*y**3 + 0 + 18/13*y + 24/13*y**2 + 2/13*y**5.
2*y*(y - 3)**2*(y + 1)**2/13
Let s(x) = -58*x - 458. Let n be s(-8). Let q(k) be the first derivative of -k**3 + n*k - 3/2*k**2 + 9. Suppose q(d) = 0. Calculate d.
-2, 1
Suppose -5*v - 4*h = -19, -v + 13 = 4*v - 2*h. Suppose 2*l - v = 3. Factor -w**2 + 1/2 - 3/4*w**l + 5/4*w.
-(w - 1)*(w + 2)*(3*w + 1)/4
Let g(c) be the second derivative of 2*c**6/3 + 61*c**5/4 + 445*c**4/4 + 1295*c**3/6 + 245*c**2/2 + 151*c. Determine d so that g(d) = 0.
-7, -1, -1/4
Let n = 219 + -162. Let p be 247/n + (2 - 5). Find u, given that -4/3*u**2 - p + 8/3*u = 0.
1
Suppose 35*l + 25*l = -14*l + 296. Let 0 + 4/5*x**3 - 1/5*x**l - 4/5*x**2 + 0*x = 0. What is x?
0, 2
Suppose -4*k + 29 + 7 = 3*b, -4*k - 2*b = -36. Factor 5*u**2 + k*u - 7 - 2*u**2 - 8 + 3*u.
3*(u - 1)*(u + 5)
Let d(x) be the first derivative of 8*x - 10 - 8*x**2 + 10/3*x**3 - 1/2*x**4. Factor d(k).
-2*(k - 2)**2*(k - 1)
Let r(m) be the first derivative of -m**6/2340 + m**5/780 + 29*m**3/3 - 27. Let t(y) be the third derivative of r(y). Factor t(j).
-2*j*(j - 1)/13
Let i(t) be the first derivative of -4/3*t**3 + 0*t**2 + t - 1/2*t**4 + 1/3*t**6 + 3/5*t**5 - 35. Factor i(s).
(s - 1)*(s + 1)**3*(2*s - 1)
Let v be 3 + ((-192)/(-9))/(-8). Let x(y) be the second derivative of -4*y - v*y**3 + 0 + 0*y**2 + 1/6*y**4. Factor x(a).
2*a*(a - 1)
Let q(f) = -f**5 - f**3 + f**2 - 3*f. Let v(j) = -8*j**5 - 8*j**4 + 68*j**3 - 130*j**2 + 54*j. Let h(s) = 12*q(s) - 2*v(s). Factor h(m).
4*m*(m - 2)**2*(m - 1)*(m + 9)
Let a = -3911 - -7659/2. Let f = a - -83. Factor 3 + f*s**2 - 9/2*s.
3*(s - 2)*(s - 1)/2
Let b(r) be the first derivative of -7/36*r**4 - 1/9*r**3 - 1/15*r**5 - 4 + 1/6*r**2 - r. Let m(z) be the first derivative of b(z). Solve m(a) = 0.
-1, 1/4
Suppose 318*c - 256 = 380. Let s(g) = g**3 - 9*g**2 + 7*g + 8. Let u be s(8). Suppose u + 2/13*t**c + 0*t = 0. Calculate t.
0
Factor 464/3 + 112*w**2 - 1/3*w**4 - 52/3*w**3 - 688/3*w.
-(w - 2)**3*(w + 58)/3
What is m in -189/2*m**2 - 6*m**4 - 12 + 87/2*m**3 + 69*m = 0?
1/4, 1, 2, 4
Let l = -9 + -5. Let f be 2/(-4) - 119/l. Factor 2*c**2 + 4 - f + 2.
2*(c - 1)*(c + 1)
Let l be (-1088)/(-512) - (-2)/16. Factor 3/4*z**2 - l + 3/2*z.
3*(z - 1)*(z + 3)/4
Factor -11/2*y + 3 + 3*y**2 - 1/2*y**3.
-(y - 3)*(y - 2)*(y - 1)/2
Suppose -7*p - 4 = -18. Suppose t - 10 = -0*r + p*r, 0 = 3*t + 4*r + 10. Suppose -3*j**2 - j**t + 2*j**2 - 4*j = 0. What is j?
-2, 0
Let 20*u**5 + 14*u**5 - 35*u**5 + 4*u**2 + 4*u**4 - u - 6*u**3 = 0. Calculate u.
0, 1
Let n(m) be the third derivative of 0*m**3 - 1/1575*m**7 + 0 - 13/450*m**5 + 1/30*m**4 - 22*m**2 - m + 2/225*m**6. Suppose n(o) = 0. Calculate o.
0, 1, 6
Let i be 4/3 + 2 - (-3)/(-9). Solve 20/7*q**2 + 0 + 8/7*q + 4/7*q**4 + 16/7*q**i = 0 for q.
-2, -1, 0
Let p(x) be the second derivative of -x**7/17640 - x**6/315 - 8*x**5/105 - 17*x**4/12 + x - 4. Let z(u) be the third derivative of p(u). Factor z(k).
-(k + 8)**2/7
Suppose -56 = -8*w - 0. Let h(o) be the first derivative of -w + 1/4*o**4 + 0*o**2 - 1/3*o**3 + 0*o. Factor h(x).
x**2*(x - 1)
Suppose 3 = 2*d - 1. Suppose -4*s - 18 = -4*i + 10, 4*i - 18 = d*s. Determine c, given that -4/5 - 1/5*c**i + 4/5*c = 0.
2
Let u(d) be the third derivative of d**6/10 + 13*d**5/15 + 13*d**4/6 + 2*d**3 + 85*d**2. Factor u(c).
4*(c + 1)*(c + 3)*(3*c + 1)
Let g(t) be the second derivative of 5*t**5/4 - 15*t**4/2 - 170*t**3/3 - 60*t**2 - 169*t. Let g(o) = 0. Calculate o.
-2, -2/5, 6
Suppose 5*r = -11 + 31. Let x(m) be the second derivative of 17/100*m**5 + 11*m + 1/10*m**3 + 8/105*m**7 + 0 - 1/3*m**r + 0*m**2 + 28/75*m**6. Solve x(z) = 0.
-3, -1, 0, 1/4
Let m = 45 + -43. Factor -36 + 79 + 2*u - 43 + 2*u**m.
2*u*(u + 1)
Let f be 152/(-570)*6/(-4). Suppose f - 2/5*c**2 + 0*c = 0. What is c?
-1, 1
Let u(c) be the first derivative of -2*c**3/33 + 36*c**2/11 + 74*c/11 - 281. Find s, given that u(s) = 0.
-1, 37
Let h(n) = -2*n - 4. Let t = -9 - -6. Let i be h(t). Determine l so that -3*l**3 + 8*l**i - 2*l**2 + l - 6*l + 2*l = 0.
0, 1
Factor 37*k**3 + 2*k**3 - 323*k**2 + 33*k**3 + 145*k**2 + 24*k**4 + 280*k**2 + 3*k**5 + 69*k + 18.
3*(k + 1)**3*(k + 2)*(k + 3)
Let r(g) be the second derivative of -g**6/150 + g**5/75 - 7*g**2 - 31*g. Let x(b) be the first derivative of r(b). Factor x(o).
-4*o**2*(o - 1)/5
Suppose 2*d + 10 = 5*v, 11*v - 2*d = 7*v + 8. Factor 2/7*z**4 + 0*z - 4/7*z**5 + 2/7*z**3 + 0*z**v + 0.
-2*z**3*(z - 1)*(2*z + 1)/7
Solve c**2 - 3*c**2 - 6*c**3 - 15 + 6*c + 39 - 2*c**4 - 12 - 8 = 0.
-2, -1, 1
Let i(n) = -n**5 - n**2 - n + 1. Let b(s) = -2*s**5 - 2*s**4 - 76*s**3 - 40*s**2 + 806*s + 1354. Let w(q) = b(q) - 4*i(q). Factor w(y).
2*(y - 5)**2*(y + 3)**3
Let -5*m - 173*m**2 + 172*m**2 - 4356 - 127*m = 0. Calculate m.
-66
Let g(t) = 20*t**3 + 42*t + 76*t**2 + 14*t + 1 - 1. Let y(u) = 9*u - 13*u + 15*u**2 + 4*u**3 + 15*u. Let r(n) = 3*g(n) - 16*y(n). Factor r(m).
-4*m*(m + 1)*(m + 2)
Let j be 53/120 - (-24)/(-64). Let f(k) be the third derivative of 0*k**4 - 1/20*k**6 + 1/21*k**7 + 0*k + 0*k**3 - k**2 - j*k**5 + 0. Let f(b) = 0. Calculate b.
-2/5, 0, 1
Let j(s) be the first derivative of 2*s**3/15 - 3*s**2/5 + 100. Factor j(x).
2*x*(x - 3)/5
Let o(j) = 2*j**2 - 30*j + 64. Let v(u) = -3*u**2 + 60*u - 129. Let n(i) = 7*o(i) + 4*v(i). Factor n(l).
2*(l - 2)*(l + 17)
Let d(z) be the third derivative of -5*z**8/336 - z**7/14 + z**5/3 + z**2 + 96. Solve d(w) = 0 for w.
-2, 0, 1
Suppose -408*r - 72 - 662*r**2 - 59*r**4 - 235*r**3 + 0*r**4 - 14*r**5 - 71*r**4 - 207*r**3 = 0. Calculate r.
-3, -2, -1, -2/7
Suppose 1/7*i - 3/7*i**2 + 3/7 - 1/7*i**3 = 0. Calculate i.
-3, -1, 1
Let t(d) be the third derivative of 3*d**8/112 - 2*d**7/5 + 13*d**6/12 + 29*d**5/15 + 7*d**4/8 - 12*d**2 + 7*d. Factor t(q).
q*(q - 7)*(q - 3)*(3*q + 1)**2
Let g(o) be the second derivative of 2*o**7/21 + 4*o**6/5 + 6*o**5/5 - 16*o**4/3 - 10*o**3 + 36*o**2 + 157*o. Determine m, given that g(m) = 0.
-3, -2, 1
Let x(l) be the third derivative of 13*l**8/2520 + 8*l**7/525 - 14*l**6/225 - l**5/25 + 43*l**4/180 - 2*l**3/15 - 337*l**2 - l. Solve x(q) = 0 for q.
-3, -1, 2/13, 1
Let i(h) = 104*h**4 - 860*h**3 - 2496*h**2 - 1580*h. Let y(g) = g**4 + g. Let n(c) = -i(c) + 4*y(c). Factor n(w).
-4*w*(w - 11)*(5*w + 6)**2
Let w(m) be the second derivative of -m**4/24 - 32*m**3/3 - 1024*m**2 - 176*m. Factor w(h).
-(h + 64)**2/2
Let r(h) be the third derivative of -h**8/2940 + h**6/630 - h**3 - 7*h**2. Let b(n) be the first derivative of r(n). What is x in b(x) = 0?
-1, 0, 1
Let v be 0/2*(65/(-10) + 7). Let x(a) be the third derivative of 0*a**5 + 1/840*a**7 + 0*a + 7*a**2 + 0*a**6 + v + 0*a**4 + 0*a**3. Factor x(p).
p**4/4
Let k(n) be the first derivative of -n**7/945 - n**6/270 + 11*n**2/2 + 5. Let i(t) be the second derivative of k(t). Suppose i(l) = 0. What is l?
-2, 0
Let a(z) = 3*z**2 + 2*z - 1. Suppose 4*o + 3*u = -11, -3*o + 7*o - 3*u = -5. Let l be a(o). Factor 1 + 12*j**2 - 8 - 10 - l - 28*j.
4*(j - 3)*(3*j + 2)
Let k be 1/(0 - 1)*4/(-8)*0. Factor 9/8 + 9/4*a**2 - 3*a - 3/8*a**4 + k*a**3.
-3*(a - 1)**3*(a + 3)/8
Let y = -36 - -28. Let g = -3 - y. Factor 16*u + 8 - g*u**2 + u**2 - 12*u.
-4*(u - 2)*(u + 1)
Let h = -7 + 17. Suppose 0*l - l + 5*w - 18 = 0, -3*l - w = -h. Factor 0 + 2/11*x**l + 0*x.
2*x**2/11
Let a = -55 + 61. Suppose 0*u - 24 = -a*u. Find h such that 0*h - 1/4*h**u + 0 + 1/4*h**3 + 0*h**2 = 0.
0, 1
Let d = 76 + -72. Suppose 0 = 5*p + 4*w - 22, -2*p = -0*p + d*w - 16. Factor 0*n**p + 0*n + 2/11*n**5 + 2/11*n**3 + 0 + 4/11*n**4.
2*n**3*(n + 1)**2/11
Suppose 35 - 35 = 12*l. Let k(h) be the second derivative of