x**3 - x**2 + 3*x. Let v(c) = 5*j(c) - 4*l(c). Solve v(t) = 0.
-1, 0, 1, 3
Let j be ((-2)/(-6))/((-35)/21)*-1. Factor 3/5*p - 2/5 - j*p**2.
-(p - 2)*(p - 1)/5
Suppose -2 = g + g. Let l be (g + 1)*(-2)/4. Suppose l + 0*t - 2/5*t**2 + 2/5*t**4 + 0*t**3 = 0. Calculate t.
-1, 0, 1
Suppose -2/11*i**5 - 6/11*i**4 + 2/11*i**3 + 14/11*i**2 + 0*i - 8/11 = 0. Calculate i.
-2, -1, 1
Suppose -7*j + j = 2*j. Suppose j - 1/3*r**2 + 0*r - 1/3*r**4 - 2/3*r**3 = 0. What is r?
-1, 0
Let m(q) be the first derivative of -1/24*q**6 + 3 - 3/16*q**4 - 1/12*q**3 + 0*q - 3/20*q**5 + 0*q**2. Factor m(s).
-s**2*(s + 1)**3/4
Let z(a) be the third derivative of -3*a**10/11200 + a**9/3360 - a**8/10080 - a**5/30 + 2*a**2. Let j(g) be the third derivative of z(g). Factor j(u).
-u**2*(9*u - 2)**2/2
Determine f, given that 16*f**2 - 108*f + 36*f**3 - 52*f**2 + 3*f**5 + 69*f**3 + 6*f**4 + 30*f**4 = 0.
-6, -1, 0, 1
Let k(i) be the second derivative of 1/110*i**5 + 2/33*i**3 + i + 1/22*i**4 + 0 + 0*i**2. Factor k(n).
2*n*(n + 1)*(n + 2)/11
Let n(d) be the third derivative of 0*d + 0 + 1/4*d**3 - d**2 + 1/24*d**4 - 1/120*d**5. Factor n(l).
-(l - 3)*(l + 1)/2
Suppose 0 = -5*j + 5*q - 10, -5*q + 30 = 3*j + 2*j. Solve -l - 3*l**3 + 18*l**3 - 5*l - l**j + 10*l**2 = 0.
-1, 0, 2/5
Let u be ((-8)/300)/(0 + (-8)/5). Let y(t) be the third derivative of 1/60*t**5 + 0*t + 0*t**3 - u*t**4 + t**2 + 0. Factor y(v).
v*(5*v - 2)/5
Let y(g) be the second derivative of g**6/30 + g**5/20 - g**4/12 - g**3/6 + 6*g. Determine b, given that y(b) = 0.
-1, 0, 1
Let g = -69 - -235/4. Let s = 131/12 + g. Factor 0 + s*r - 2/3*r**2.
-2*r*(r - 1)/3
Let t be 1*-1 + 11 + -5. Suppose t*p - 12 = p. Solve -1 + l**3 - p*l**3 + 2*l + 2*l**2 - 1 = 0 for l.
-1, 1
Let r(q) be the third derivative of -q**8/224 - q**7/20 - 9*q**6/40 - q**5/2 - q**4/2 + 2*q**2. Factor r(l).
-3*l*(l + 1)*(l + 2)**3/2
Let m(n) be the second derivative of n**6/30 - 7*n**5/20 + 3*n**4/2 - 10*n**3/3 + 4*n**2 + 4*n. What is p in m(p) = 0?
1, 2
Let j(x) be the third derivative of x**8/1008 + x**7/315 + x**6/360 - x**2. Factor j(r).
r**3*(r + 1)**2/3
Let x(u) be the first derivative of -2/3*u**3 - 2/7*u - 3/14*u**4 - 5/7*u**2 - 3. Solve x(c) = 0 for c.
-1, -1/3
Suppose -52/3*c - 36*c**2 - 8/3 - 28/3*c**4 - 92/3*c**3 = 0. Calculate c.
-1, -2/7
Let v(f) be the second derivative of -f**7/3780 + 5*f**4/6 + 8*f. Let l(i) be the third derivative of v(i). Factor l(n).
-2*n**2/3
Let v(n) = n**2 - 21*n + 40. Let g be v(19). Let t(u) be the first derivative of -2 + 3*u**3 + 0*u + 3/2*u**g. Factor t(s).
3*s*(3*s + 1)
Let b(t) be the second derivative of t**6/180 - t**4/12 + 2*t**3/9 - 3*t**2/2 + t. Let g(z) be the first derivative of b(z). Let g(a) = 0. Calculate a.
-2, 1
Suppose 5*d + i + 53 = 0, -4*d - 6*i + 2*i - 52 = 0. Let k = d + 13. Solve 8*m**4 - 8*m**2 - 8/3*m + 0 - 10/3*m**k + 6*m**5 = 0 for m.
-1, -2/3, 0, 1
Suppose 2*c - 4 = 6*c, -2*c = -5*b + 22. Solve 0 + 0*n - 6/7*n**5 + 6/7*n**3 - 4/7*n**2 + 4/7*n**b = 0 for n.
-1, 0, 2/3, 1
Let g(l) be the third derivative of l**8/336 - l**7/210 - l**6/120 + l**5/60 + 12*l**2. Factor g(x).
x**2*(x - 1)**2*(x + 1)
Let k(o) be the first derivative of o**4/26 + 4*o**3/39 + 6. Determine x, given that k(x) = 0.
-2, 0
Let i be 12/2 - 784/140. Find h, given that i*h**2 + 0 + 2/5*h = 0.
-1, 0
Suppose 4*j + 4*j**2 - 2 + 2 = 0. Calculate j.
-1, 0
Determine i, given that 79*i**3 - 350*i**2 - 30 + 115*i - 10*i**4 + 190*i**2 - 5*i**5 + 11*i**3 = 0.
-6, 1
Let s = -7 + 12. Determine j so that -4/5*j**s + 2*j**4 - 4/5*j**3 - 8/5*j**2 - 2/5 + 8/5*j = 0.
-1, 1/2, 1
Let p(b) be the third derivative of b**6/660 + b**5/110 + b**4/66 - 2*b**2. Factor p(a).
2*a*(a + 1)*(a + 2)/11
Let n = 113/174 - -1/58. Let o be 4/(-6) - 24/(-9). Let n*x**o + 4/3 + 2*x = 0. Calculate x.
-2, -1
Let f(a) be the first derivative of a**4/24 + a**3/6 - 3*a**2/4 - 5*a - 4. Let b(v) be the first derivative of f(v). What is n in b(n) = 0?
-3, 1
Let b = 11 + -3. Let h(i) be the third derivative of 0*i - 7/45*i**6 - 2/9*i**4 + 17/315*i**7 + 11/45*i**5 + 1/9*i**3 + 0 - 1/126*i**b - i**2. Solve h(n) = 0.
1/4, 1
Let o = 13/12 + 5/12. Factor 1/4*t**4 + 1/4 + o*t**2 - t - t**3.
(t - 1)**4/4
Suppose -2*g - 50 = -7*g. Let n = g - 7. Suppose 2*z**3 + n*z**2 + 2*z**3 + 5*z**4 + 2*z**3 - 2*z**4 = 0. Calculate z.
-1, 0
Let c = 2/695 + 276/695. Factor -2/5*x + 2/5*x**3 + 2/5*x**2 + 0 - c*x**4.
-2*x*(x - 1)**2*(x + 1)/5
Let j(p) = -2 - p + 1 - 3. Let m be j(-7). Factor -3*v + m*v - v + v**3 + v**2 - v**4.
-v*(v - 1)**2*(v + 1)
Let h(m) be the second derivative of m**8/2240 - m**4/4 - 4*m. Let g(n) be the third derivative of h(n). Solve g(b) = 0.
0
Let q(s) be the second derivative of -s**8/420 - s**7/420 + s**6/180 - s**3/2 - s. Let i(m) be the second derivative of q(m). Find z such that i(z) = 0.
-1, 0, 1/2
Let s(b) = -b**2 + 8*b + 5. Let p be s(8). Solve -t + 4*t - t - 3*t**4 + t**p + 1 + 2*t**2 + 2*t**3 - 5*t = 0 for t.
-1, 1
Factor -l**3 - 1/2*l - 1/4*l**4 - 5/4*l**2 + 0.
-l*(l + 1)**2*(l + 2)/4
Let x(i) be the second derivative of -1/4*i**2 - 1/12*i**6 + 0 - 5/12*i**3 - 1/84*i**7 - 5/12*i**4 - 6*i - 1/4*i**5. Factor x(q).
-(q + 1)**5/2
Let t(l) = 2*l**3 - l**2 + l. Let a be t(1). Factor -2/3*h**4 + 4/3*h**a + 0*h + 0*h**3 - 2/3.
-2*(h - 1)**2*(h + 1)**2/3
Let l(v) be the third derivative of v**8/1680 - v**7/630 - v**6/180 + v**5/30 + v**4/8 + 8*v**2. Let s(u) be the second derivative of l(u). Factor s(r).
4*(r - 1)**2*(r + 1)
Let m(i) be the third derivative of i**7/840 - 2*i**3/3 - i**2. Let s(r) be the first derivative of m(r). Factor s(w).
w**3
Let n = 239/3 + -78. Let j(c) be the second derivative of n*c**4 - 11/3*c**3 - 8/15*c**6 + 91/10*c**5 + 0 + 2*c - 80/21*c**7 - 2*c**2. What is u in j(u) = 0?
-1, -1/4, 2/5, 1
Suppose 2*q - 4 + 30 = 3*n, -n - 3*q + 5 = 0. Let g(a) = -a + 10. Let o be g(n). Find r, given that 0 + 1/3*r**o - 1/3*r = 0.
0, 1
Let h(x) = 3*x**4 + 3*x**3 + 6*x + 6. Let v(p) = p**2 + p + 1. Suppose 0 = 2*r - 3*n + 10, -13 = r - 5*n + 6. Let y(i) = r*h(i) - 6*v(i). Factor y(l).
3*l**2*(l - 1)*(l + 2)
Let s = 4 + 1. Let j(y) be the second derivative of -1/6*y**3 + 0 + 1/8*y**2 - 1/48*y**4 + y + 1/20*y**s. Factor j(x).
(x - 1)*(x + 1)*(4*x - 1)/4
Solve 3/5*n**2 - 1/5*n**3 - 1/5*n**4 + 1/5*n - 2/5 = 0 for n.
-2, -1, 1
Let b = -12 + 17. Let i(s) be the second derivative of 0*s**2 + 1/10*s**b + 0*s**3 + 2*s - 1/6*s**4 + 0. Solve i(a) = 0 for a.
0, 1
Factor -4/5*d + 2/5*d**2 + 0.
2*d*(d - 2)/5
Let s be 452/(-16) - (-2)/8. Let o be (-2260)/s + 4/14. Factor -5 + 9*k**2 + 1 - o*k**2 + 34*k.
-2*(4*k - 1)*(9*k - 2)
Let w(l) be the third derivative of 0 - 4/3*l**3 + 0*l - 1/120*l**6 - 1/2*l**4 + 2*l**2 - 1/10*l**5. Factor w(u).
-(u + 2)**3
Find m such that -9/2*m**3 - 3*m**4 + 3/2*m**5 + 0*m**2 + 0*m + 0 = 0.
-1, 0, 3
Let y = 11 + -8. Let i(f) be the second derivative of 2*f - 1/9*f**y - 1/6*f**2 + 0 - 1/36*f**4. Factor i(r).
-(r + 1)**2/3
Let r = -10679/38 - -281. Let p = 69/266 - r. Suppose -2/7*k**2 - 2/7*k + p + 2/7*k**3 = 0. What is k?
-1, 1
Let x(h) be the third derivative of -5*h**2 + 0*h**4 + 0 + 0*h**7 + 0*h + 0*h**3 + 1/672*h**8 - 1/240*h**6 + 0*h**5. Find l such that x(l) = 0.
-1, 0, 1
Let a be 4/(-30) - 730/(-5850)*6. Solve 24/13*h**2 - 30/13*h**3 + a*h**4 + 0 + 8/13*h = 0.
-1/4, 0, 2
Let r(f) be the third derivative of f**8/84 - 4*f**7/105 - f**6/15 + 4*f**5/15 + f**4/6 - 4*f**3/3 - 4*f**2. Solve r(z) = 0.
-1, 1, 2
Let f(g) = -g**2 - 3*g - 17. Let x(y) = 2*y**2 + 10*y + 50. Let p(l) = 14*f(l) + 5*x(l). Let p(h) = 0. What is h?
-1, 3
Let k(i) = 2*i**3 - 8*i**2 + 13*i - 1. Let q(c) = 14*c**3 - 56*c**2 + 92*c - 6. Let f(x) = -44*k(x) + 6*q(x). Factor f(o).
-4*(o - 2)*(o - 1)**2
Let t(d) = -d - 5. Let f be t(-9). Suppose l - 2*l + f = 0. Suppose -7*a**2 - 2 + 5*a + l*a + 4*a**2 - 4 = 0. What is a?
1, 2
Let p(v) be the second derivative of 7*v**4/15 - 6*v**3/5 + 4*v**2/5 + 2*v + 3. Factor p(x).
4*(x - 1)*(7*x - 2)/5
Let z be ((-16)/5)/(2/(-15)). Let j be (3 + (-68)/z)*3. Suppose 1 - 1/2*n**2 + 3/2*n - j*n**4 - 3/2*n**3 = 0. What is n?
-2, -1, 1
Let n(x) be the second derivative of 0 - 4/27*x**3 - 1/45*x**5 - 5*x + 1/9*x**2 + 5/54*x**4. Factor n(o).
-2*(o - 1)**2*(2*o - 1)/9
Suppose 0 = -5*w + 25, -z = z - 4*w + 16. Factor 0*d**4 + d**4 + 0*d**4 