 - 4/7*x**3 + 0*x**i - 2/7*x**4 = 0.
-1, 1
Factor 243/8 + 3/8*g**2 - 27/4*g.
3*(g - 9)**2/8
Let a(q) be the first derivative of q**8/1680 - q**7/420 + q**6/360 - q**3/3 - 5. Let r(b) be the third derivative of a(b). What is n in r(n) = 0?
0, 1
Let m = 51 - 51. Let 1/3*z**5 + 1/3*z**3 + m*z**2 + 0*z - 2/3*z**4 + 0 = 0. What is z?
0, 1
Let i(u) be the second derivative of u**8/5040 - u**7/2520 - u**6/1080 + u**5/360 - 5*u**3/6 - 7*u. Let c(k) be the second derivative of i(k). Factor c(z).
z*(z - 1)**2*(z + 1)/3
Let c = 179 + -126. Find y, given that -c - 16 - 18*y**2 + 15 + 8*y + 46*y + 2*y**3 = 0.
3
Let -8/7*l**3 + 2/7*l + 0 - 6/7*l**2 = 0. What is l?
-1, 0, 1/4
Let y(z) = -z**2 + 1. Let g be (2/(-3))/((-2)/(-6)). Let p(v) be the first derivative of 7*v**4/4 - 4*v**3/3 + 2*v + 1. Let d(f) = g*y(f) + p(f). Factor d(w).
w**2*(7*w - 2)
Let i(v) be the first derivative of -v**5/90 - v**4/54 + v**3/27 + v**2/9 + v + 4. Let m(n) be the first derivative of i(n). Solve m(o) = 0.
-1, 1
Let v(l) = 14*l**4 - 6*l**3 + 6*l - 14. Let t(h) = 5*h**4 - 2*h**3 + 2*h - 5. Let b(o) = 11*t(o) - 4*v(o). Solve b(x) = 0.
-1, 1
Let m(y) be the second derivative of y**7/6300 - y**5/900 - 2*y**3/3 + 4*y. Let z(k) be the second derivative of m(k). Solve z(b) = 0.
-1, 0, 1
Factor -4*z**2 + 2*z**2 + 2*z**2 + z**4.
z**4
Let j(d) = -d**4 + 4*d**2 - 2*d - 5. Let v(r) = -r**4 + 7*r**2 - 5*r - 11. Let b(h) = 5*j(h) - 2*v(h). Factor b(f).
-3*(f - 1)**2*(f + 1)**2
Let r(n) be the third derivative of 0 - 1/12*n**4 + 0*n - 1/120*n**5 - n**2 + 1/3*n**3 + 1/360*n**6. Let x(y) be the first derivative of r(y). Factor x(c).
(c - 2)*(c + 1)
Let z(u) be the second derivative of u**6/1080 - u**5/60 + u**4/8 + u**3/3 + 5*u. Let j(l) be the second derivative of z(l). Let j(t) = 0. What is t?
3
Let z(r) = 6*r - 6. Let j be z(7). Suppose -j = -5*x + 4*g, 5 = 3*x - 2*g - 15. Determine a so that 2*a**3 - a**2 - 2*a**5 + x*a**2 - a**2 - 2*a**4 = 0.
-1, 0, 1
Factor -2/3*q**4 - 4/9*q**3 + 0*q + 0 + 2/9*q**2.
-2*q**2*(q + 1)*(3*q - 1)/9
Let b = 15 + -13. Find y, given that 2/7*y**3 + 2/7*y**b + 0*y + 0 = 0.
-1, 0
Suppose 12*f + 12 = 16*f. Let l(j) be the first derivative of 1/2*j - 5/16*j**4 - 2 - 7/8*j**2 + 1/20*j**5 + 3/4*j**f. Determine h, given that l(h) = 0.
1, 2
Suppose -9 = 5*d - 2*b - 3, 3*d = -4*b + 12. Let z(h) be the second derivative of -1/7*h**2 - h + d + 2/21*h**3 + 1/6*h**4 + 2/35*h**5. Factor z(m).
2*(m + 1)**2*(4*m - 1)/7
Let y(r) be the third derivative of 1/480*r**6 - 1/840*r**7 + 0*r - 1/96*r**4 + 0 + 1/240*r**5 + 4*r**2 + 0*r**3. Factor y(a).
-a*(a - 1)**2*(a + 1)/4
Let l(j) be the first derivative of -2*j**5/5 + 2*j**3 + 2*j**2 - 3. Factor l(b).
-2*b*(b - 2)*(b + 1)**2
Suppose 5*s - 3 = 2*s. Suppose -9 = -2*l - s. Factor -54/13*b + 84/13*b**3 + 2/13*b**5 - 162/13 + 108/13*b**2 + 22/13*b**l.
2*(b - 1)*(b + 3)**4/13
Suppose -2 = -2*h + 2*s, s - 2 = -1. Factor -3*i**3 + 3 + h + 9*i + 1.
-3*(i - 2)*(i + 1)**2
Let t(c) = -7*c. Let p be t(-6). Let f be 8/p*3/2. Suppose -18/7 - f*a**2 - 12/7*a = 0. Calculate a.
-3
Let g be 4*(-6)/8 - (-6)/2. Suppose 0 = 2*o - 4 - 0. Factor 0*a - a**o - 1/2*a**4 + g - 3/2*a**3.
-a**2*(a + 1)*(a + 2)/2
Let t = -5 - -4. Let f = t + 3. Find u such that 1 - 2*u**f - 2 + 3*u**2 = 0.
-1, 1
Suppose s - 1/2*s**3 + 0 - 3/2*s**4 - 1/2*s**5 + 3/2*s**2 = 0. What is s?
-2, -1, 0, 1
Let v be 273/35 + -6 + (-12)/20. Factor 2/5 - 6/5*z - 2/5*z**3 + v*z**2.
-2*(z - 1)**3/5
Let v(l) be the first derivative of -2/21*l**3 - 3/14*l**2 + 2/7*l + 2 + 3/28*l**4. Find r such that v(r) = 0.
-1, 2/3, 1
Find a, given that 0 - 1/6*a**4 - 1/2*a**2 - 1/2*a**3 - 1/6*a = 0.
-1, 0
Suppose -7*x + 5*x = -4. Solve x - 4*p**2 - 3 + 0 + 5*p**2 = 0.
-1, 1
Let u(h) be the second derivative of -h**6/50 - 3*h**5/100 + h**4/10 + 12*h. Suppose u(a) = 0. Calculate a.
-2, 0, 1
Let p = -4 + 6. Let l = 631 + -631. What is o in -1/4*o**p + l + 1/4*o = 0?
0, 1
Let j be 305/105 - 2/(18/3). Let -j*s**2 - 54/7*s - 2/7*s**3 - 54/7 = 0. Calculate s.
-3
Let y(f) be the third derivative of 0*f**3 + 1/336*f**8 + 0*f**6 + 0*f**5 + 0*f**7 + 0*f + 0*f**4 - 3*f**2 + 0. Factor y(k).
k**5
Let d be ((-37)/4)/((-5)/(-2)). Let a = -6/5 - d. What is p in p**3 + a*p**2 - 5/2*p**4 + 0 - p = 0?
-1, 0, 2/5, 1
Let -2/3*l**4 + 4/3 + 2*l - 2/3*l**2 - 2*l**3 = 0. Calculate l.
-2, -1, 1
Let k(o) = o**2 - o. Let d = 5 + 0. Suppose 0 = 3*w - 2*s + 15, 2*s + 0*s = w + d. Let v(n) = -4*n**2 + 4*n. Let i(t) = w*k(t) - v(t). Factor i(y).
-y*(y - 1)
Let v = -255/2 + 128. Factor -v - p - 1/2*p**2.
-(p + 1)**2/2
Let b(d) = d**2 + d + 1. Let c(l) = 9*l**3 - 41*l**2 + 21*l + 1. Let a(o) = 21*b(o) + 3*c(o). Determine i so that a(i) = 0.
-2/9, 2
Let d(a) = a**2 + 4*a + 6. Let x be d(-4). Let r(k) be the first derivative of -1 + 7*k + x*k**3 + 0*k**4 + k - k**4 + 2 - 12*k**2. Solve r(f) = 0.
1/2, 2
Let o be ((-3)/5*20/4)/(-1). Let j be (-5)/(-3) - 3/18. Let 0 - o*y + j*y**2 = 0. Calculate y.
0, 2
Suppose -16*z = -12*z + 3*s + 12, 0 = 5*z - 4*s - 16. Factor -4/5*p + 2/5*p**3 + z + 2/5*p**2.
2*p*(p - 1)*(p + 2)/5
Let k(d) = -d - 7. Let a = -2 - 7. Let v be k(a). Let 1/2*l**v - 1/2*l**3 + 0 + 0*l = 0. What is l?
0, 1
Let u(p) = -p**4 + 3*p**3 + 3*p**2 + p + 2. Let j(t) = -4*t**4 + 13*t**3 + 13*t**2 + 5*t + 9. Let q(k) = -2*j(k) + 9*u(k). Factor q(z).
-z*(z - 1)**2*(z + 1)
Let g(c) be the first derivative of c**3 + 3*c**2/8 - 9*c/4 + 8. Factor g(t).
3*(t + 1)*(4*t - 3)/4
Let f(a) = 4*a**5 + a**4 - 3*a**3 - 3*a**2 - 3*a. Let n(b) = -4*b**5 + 4*b**3 + 4*b**2 + 4*b. Let d(g) = -4*f(g) - 3*n(g). Suppose d(s) = 0. What is s?
-1, 0
Let o(l) = -3*l - 12. Let u be o(-4). Let r be u + 2 + (-4)/6. What is i in -2/3*i**2 - 2/3 + r*i = 0?
1
Let 16/3*f**4 + 4/3*f**2 + 0 + 14/3*f**3 + 2*f**5 + 0*f = 0. Calculate f.
-1, -2/3, 0
Factor -1/2*q**2 - 3/2*q - 1.
-(q + 1)*(q + 2)/2
Let d be (0 - -2)*(-1)/2. Let f be (-1)/(0 + d/2). Find o, given that -2/5*o**3 + 6/5*o**f - 6/5*o + 2/5 = 0.
1
Let r(f) = f - 3. Let j be r(5). Let b = j + 0. Factor n + 2*n**3 + 4*n**2 - 2*n**b - 3*n - 2.
2*(n - 1)*(n + 1)**2
Let f be (4/3)/(8/12). Factor 0 + 0*a + 2/7*a**f.
2*a**2/7
Let x(u) = u**2 + 5*u. Let q(f) = -f**2 - 5*f - 1. Let w(i) = 6*q(i) + 7*x(i). Let n be w(-6). Solve 1/3*m**3 - 1/3*m**4 + 0*m + n*m**2 + 0 = 0.
0, 1
Let q(o) = 3 - 2*o + 5*o**2 + 8*o + 3. Let v(f) = -11*f**2 - 13*f - 13. Let u(d) = 13*q(d) + 6*v(d). Find t, given that u(t) = 0.
0
Let t(o) be the first derivative of o**8/7560 - o**7/1890 + o**5/270 - o**4/108 + 2*o**3/3 + 4. Let p(k) be the third derivative of t(k). Factor p(r).
2*(r - 1)**3*(r + 1)/9
Let b(o) be the first derivative of o**4/10 - 4*o**3/15 - 25. Factor b(g).
2*g**2*(g - 2)/5
Let j(i) be the first derivative of 1 - 1/12*i**4 + 1/2*i**3 - i**2 + 3*i. Let u(k) be the first derivative of j(k). Factor u(c).
-(c - 2)*(c - 1)
Let c be (-15)/(-18) - (-1)/6. Let u be c/2 + 15/(-54). Suppose -2/9 + u*k**2 + 0*k = 0. What is k?
-1, 1
Suppose -4*m = 3*z - 6 + 20, 5*m = 2*z - 29. What is x in 2*x**2 - 1/2*x**3 + 0 - z*x = 0?
0, 2
Let l(j) be the first derivative of -4*j**5/45 + 5*j**4/9 - 8*j**3/9 + 2. Factor l(f).
-4*f**2*(f - 3)*(f - 2)/9
Let h be (0 + -1)*6/(-30). Let o = 124/85 - 18/17. Factor -1/5*m**2 - h + o*m.
-(m - 1)**2/5
Factor 2*g**4 - 8*g**2 - 3*g**3 - g**3 + 0 + 4*g + 6.
2*(g - 3)*(g - 1)*(g + 1)**2
Factor 0 - 4/3*d**3 - 2/3*d**4 + 0*d - 2/3*d**2.
-2*d**2*(d + 1)**2/3
Let q(i) be the third derivative of -i**6/40 - i**5/60 - 3*i**2. Factor q(c).
-c**2*(3*c + 1)
Suppose 9*m - 10 = 4*m. What is p in 2*p**3 - 10/9*p + 4/9 - 14/9*p**m + 2*p**4 = 0?
-1, 1/3, 2/3
Find c, given that 0*c**2 + 2/9*c**5 - 2/9*c**4 + 0*c**3 + 0*c + 0 = 0.
0, 1
Let x(u) be the first derivative of -2*u**3/21 - 3*u**2/7 + 10. Factor x(q).
-2*q*(q + 3)/7
Find a, given that 40 - 8 + 19*a + 3*a**2 - a**2 - 3*a = 0.
-4
Suppose 0 = 4*a + 5*m + 45, 55 = -a - 4*a - 5*m. Let b = a - -17. Factor b*s - 4 + s - 7 - 2*s**2 + 3.
-2*(s - 2)**2
Let o(l) be the second derivative of -l**4/30 + 4*l**2/5 - 3*l. Factor o(g).
-2*(g - 2)*(g + 2)/5
Let j be 4/8*(-5 - -11). Let 0*x**2 + 0*x + 2*x**5 - 2/3*x**j + 0 + 4/3*x**4 = 0. Calculate x.
-1, 0, 1/3
Let k(o) be the second derivative of 2*o**4/27 + o**3/9 - o**2/9 - 4*o. Determine d so that k(d) = 0.
-1, 1/4
Let p = 117/100 + -28/25. Let 