g - 6 = -239*g - 6. Solve 2/3*z**2 + 0*z**3 + g*z + 0 - 2/3*z**4 = 0 for z.
-1, 0, 1
Let h(l) = -6*l**3 + 51*l**2 - 91*l + 25. Let g(q) = q**2 - 3*q + 1. Let i(u) = g(u) - h(u). Suppose i(b) = 0. What is b?
1/3, 2, 6
Suppose -20*a + 15*a - 16 = -2*s, 17 = 5*s - a. Factor 10/3*x - 2/3*x**2 - 2/3*x**s - 2.
-2*(x - 1)**2*(x + 3)/3
Suppose 7*l + 10 = 2*l, 4*l = -3*i - 44. Let v = i + 15. Find w such that 0*w**2 - 4*w**2 + 0*w + 2*w**v + w + 4*w**4 - 3*w**5 = 0.
-1, 0, 1/3, 1
Let m(l) be the second derivative of -l**7/14 - 3*l**6/10 - 9*l**5/20 - l**4/4 + 5*l**2 - 3*l. Let f(p) be the first derivative of m(p). Factor f(x).
-3*x*(x + 1)**2*(5*x + 2)
Suppose -f - 30 = 4*f. Let k(q) = 6*q**5 - 15*q**4 - 9*q**3 + 27*q**2 - 9*q. Let p(r) = r**3 - r**2 + r - 1. Let t(z) = f*p(z) - k(z). Solve t(x) = 0.
-1, -1/2, 1, 2
Let z = 14 + -10. Let r(h) = 5*h**2 + 54*h + 121. Let g(c) = -5*c**2 - 55*c - 120. Let t(u) = z*g(u) + 5*r(u). Factor t(d).
5*(d + 5)**2
Let r be (-4 - 28/(-8))*-4. Let -s**2 - 2*s**r - 40*s - 98 + 18 - 2*s**2 = 0. Calculate s.
-4
Let s(k) = 9*k**2 + 4*k - 20. Let p(n) = 9*n**2 + 4*n - 16. Let j(r) = -5*p(r) + 4*s(r). Factor j(w).
-w*(9*w + 4)
Let y = -1041 + 1046. Let t(b) be the first derivative of -3 + 1/3*b**3 + 0*b**2 - 1/5*b**y + 0*b + 0*b**4. Factor t(d).
-d**2*(d - 1)*(d + 1)
Let i = 25503/5 + -5084. Let d = 17 - i. Factor 1/5*j**3 - j + 1/5*j**4 - d - 3/5*j**2.
(j - 2)*(j + 1)**3/5
Let h be 1/(24/(-6) - 34/(-8)). Let k(i) be the second derivative of 17/10*i**h - 4/5*i**2 + 0 + 27/50*i**5 - 6*i - 8/15*i**3. Let k(b) = 0. What is b?
-2, -2/9, 1/3
Suppose -255*f + 249*f = -18. Factor -2/5*i**2 + 0*i + 0 - 1/5*i**f + 1/5*i**4.
i**2*(i - 2)*(i + 1)/5
Let n(c) be the first derivative of -c**3/24 + c**2/16 + 3*c/4 + 23. Factor n(p).
-(p - 3)*(p + 2)/8
Let b = -7/1664 + 825365/4992. Let h = b - 164. Factor 0*c + 0*c**3 + h*c**2 - 2/3 - 2/3*c**4.
-2*(c - 1)**2*(c + 1)**2/3
Let k(x) be the first derivative of -10/3*x**3 + 12 + 2/3*x**2 + 0*x. Solve k(a) = 0.
0, 2/15
Let -84*k**2 - 3*k**5 - 94*k - 64 + 11*k**4 - 130*k + k**3 + 39*k**3 = 0. What is k?
-2, -1/3, 4
Let u = 3469/14 - 495/2. Let -u - 6/7*f**2 + 6/7*f + 2/7*f**3 = 0. Calculate f.
1
Let w(g) = g**2 + 5*g + 7. Let f be w(-4). Factor -c**4 + 301*c - 301*c - c**f.
-c**3*(c + 1)
Suppose 5*p - 668 = -z - 3*z, 2*p - 262 = z. Factor -p*s**2 - 2*s + 36*s**3 + 76*s - 12 + 4*s - 2*s.
4*(s - 3)*(3*s - 1)**2
Let x(q) be the third derivative of q**9/30240 - q**8/2520 - 11*q**7/2520 - q**6/60 + 7*q**5/60 + 5*q**2. Let z(a) be the third derivative of x(a). Factor z(t).
2*(t - 6)*(t + 1)**2
Let p(c) = 5*c**3 - 11*c**2 + c + 9. Let b(l) = -l**3 + l**2 - 1. Let x(z) = -6*b(z) - p(z). Let w be x(-5). Factor o**3 + 3*o - o**w - 4*o + 0*o + 1.
(o - 1)**2*(o + 1)
Let f(w) be the second derivative of w**5/40 + w**4/24 + 79*w. Factor f(j).
j**2*(j + 1)/2
Let p = -179973/11 - -16363. Factor 0*s + 2/11*s**3 + p*s**2 + 0.
2*s**2*(s + 10)/11
Let p = -128 - -133. Let g(r) = r + 2. Let s be g(2). Factor 0*b + s*b**2 - p*b + 16 + 21*b.
4*(b + 2)**2
Let j(o) be the second derivative of -o**6/10 + 9*o**5/20 + o**4 - 20*o. Factor j(h).
-3*h**2*(h - 4)*(h + 1)
Let t(i) = -i**3 + 7*i**2 - i + 8. Let p be t(7). Let w be 2 + (-4)/p + 4. Determine h, given that 9 + 10*h + 3*h**2 + 2*h + w + 1 = 0.
-2
Let o(t) be the second derivative of t**6/15 + 21*t**5/40 - 21*t**4/8 - 101*t**3/12 - 21*t**2/4 + 21*t + 3. Find s such that o(s) = 0.
-7, -1, -1/4, 3
Let n(q) be the first derivative of q**6/30 - q**4/4 - q**3/3 - 19*q + 22. Let o(g) be the first derivative of n(g). Solve o(w) = 0 for w.
-1, 0, 2
Let c(i) be the second derivative of i**6/300 + i**5/150 + 5*i**2/2 + 4*i. Let n(g) be the first derivative of c(g). Solve n(t) = 0 for t.
-1, 0
Suppose 10*j - 33 = 7*j. Suppose -j*s + 7*s = -12. Suppose -44/7*t**2 - 4*t**4 + 8/7*t + 64/7*t**s + 0 = 0. What is t?
0, 2/7, 1
Suppose 0*w - 10*w + 150 = 0. Factor -w*m**3 + 0 - 12*m + 0 - 48*m**2 + 21*m**4.
3*m*(m - 2)*(m + 1)*(7*m + 2)
Let a(r) = -r**2 + 11. Suppose 0*p = p - 3*t - 15, 5*t = -20. Let s be 6 - 3*(p + -2). Let x(d) = 6. Let c(y) = s*a(y) - 5*x(y). Factor c(m).
-3*(m - 1)*(m + 1)
Let j = 139427/8 + -17428. Solve 15/4*o - j*o**2 + 0 = 0.
0, 10
Let k(w) = -w**3 + 13*w**2 + 33*w + 8. Let t be k(-2). Determine f, given that 28/9*f - 196/9 - 1/9*f**t = 0.
14
Let f(c) be the second derivative of -c**5/20 - 19*c**4/6 - 160*c**3/3 + 400*c**2 + 61*c. Factor f(q).
-(q - 2)*(q + 20)**2
Let w(n) = -n**4 + 10 - n - 25 + n**2 + 15. Let t(z) = 84*z**4 + 40*z**3 - 119*z**2 - 26*z + 45. Let m(p) = t(p) + 4*w(p). Suppose m(s) = 0. What is s?
-1, 3/4
Suppose 4*j - 8 = -4*m + 2*j, -j = 0. Suppose 55*g**2 + 0*g**3 - m*g**3 - 59*g**2 = 0. Calculate g.
-2, 0
What is z in -62*z**2 - 18*z**3 - 8/3 - 224/9*z = 0?
-3, -2/9
Let y(r) be the second derivative of r**4/18 - 7*r**3/9 + 2*r - 8. Factor y(i).
2*i*(i - 7)/3
Let s = 47 + -40. Suppose -2*z + s = -w, 6*z + 3*w = 4*z - 5. Factor 13*a - 15 - 2*a - 3*a**3 + 9 - z*a.
-3*(a - 1)**2*(a + 2)
Let m be 8/(-14)*189/(-54). Factor -7 - 44*u**m - 8*u**3 - 68*u - 14 - 3.
-4*(u + 2)*(u + 3)*(2*u + 1)
Let h(s) be the second derivative of s**6/15 + s**5/2 + s**4/3 - 8*s**3/3 - 32*s. Factor h(d).
2*d*(d - 1)*(d + 2)*(d + 4)
Suppose -4*o = -c - 2 + 1, 5*c = -5*o + 20. Let u = 1 + 2. Factor -x**3 - 5*x**u - 6*x**c + 3*x**2.
-3*x**2*(4*x - 1)
Let h(l) be the third derivative of -4*l**7/525 + 107*l**6/75 - 3887*l**5/50 + 5671*l**4/30 - 2809*l**3/15 + 64*l**2. Factor h(w).
-2*(w - 53)**2*(2*w - 1)**2/5
Let r(v) be the second derivative of -v**7/420 + 11*v**3/6 + 10*v. Let h(c) be the second derivative of r(c). Find o such that h(o) = 0.
0
Let z be 4/8*-1 - (-350)/369. Let h = z - 1/246. Determine d so that 0 - 2/3*d**4 + h*d - 16/9*d**3 - 2/3*d**2 = 0.
-2, -1, 0, 1/3
Let u = -7613/3 + 2539. Factor 2/3*q**5 - 4/3 - u*q**2 + 8/3*q**4 + 8/3*q**3 - 10/3*q.
2*(q - 1)*(q + 1)**3*(q + 2)/3
Let l(f) = f**4 - 15*f**3 - 6*f**2 + 16*f - 2. Let v(x) = -4*x**4 + 74*x**3 + 29*x**2 - 82*x + 11. Let j(m) = -11*l(m) - 2*v(m). Factor j(t).
-t*(t - 6)*(t + 1)*(3*t - 2)
Let p = -71228/17 + 4190. Find l such that -p*l**2 + 8/17*l - 6/17 = 0.
1, 3
Suppose 9845*y**4 - 1260236880 - 9850*y**4 - 476280*y**2 + 921*y**3 + 40007520*y + 1599*y**3 = 0. What is y?
126
Let o(n) be the third derivative of -n**7/1260 + n**6/240 - 2*n**2 + 16*n. Determine m, given that o(m) = 0.
0, 3
Let y(p) = 4*p**3 - 17*p**2 + p + 7. Let n(f) = 15*f**3 - 60*f**2 + 3*f + 24. Let m(t) = -5*n(t) + 18*y(t). Factor m(a).
-3*(a - 1)*(a + 1)*(a + 2)
Let c(g) be the second derivative of -g**9/2592 + g**8/2016 + g**7/2520 + 11*g**3/6 + g. Let y(p) be the second derivative of c(p). Find h, given that y(h) = 0.
-2/7, 0, 1
Let f(o) be the third derivative of 0*o + 0*o**3 - 1/180*o**5 + 1/36*o**4 + 0 + 11*o**2. Solve f(l) = 0 for l.
0, 2
Let b(y) be the first derivative of -y**3/3 - 11*y**2 + 23*y - 132. Determine c, given that b(c) = 0.
-23, 1
Suppose 0 = -4*n - 5*h - 22, -n = -5*h - 6 - 1. Let j = n - -9. Suppose 4*d**2 + j*d**2 - 3*d**2 + 8*d - 3*d**2 = 0. Calculate d.
-2, 0
Suppose 0 = 2*g - 0*g + 2, -5*g = 3*q + 5. Suppose 15*b - 11*b - 12 = q. Factor -5*c**b - 5*c**2 + 5*c**4 - 19*c**5 + 24*c**5 + 0*c**2.
5*c**2*(c - 1)*(c + 1)**2
Suppose -t = -0 - 9. Let d(p) = -4*p + 41. Let f be d(t). Factor 0 - 1/3*q + 0*q**2 - 1/3*q**f + 0*q**4 + 2/3*q**3.
-q*(q - 1)**2*(q + 1)**2/3
Let k = 8 - -5. Suppose 3 + k = 4*z. Let -2*d - d**2 + 2*d**3 + 0*d**2 + 2*d**4 - d**z = 0. What is d?
-2, -1, 0, 1
Suppose 0*p - 3*p + 12 = 0. Suppose -106*r**3 - 74*r**3 - 184*r**4 + 128*r**2 - 140*r**p - 16*r = 0. Calculate r.
-1, 0, 2/9
Factor -104/9*m - 1352/9 - 2/9*m**2.
-2*(m + 26)**2/9
Let x(n) be the second derivative of n**6/90 + 3*n**5/10 + 97*n**4/36 + 8*n**3 + 32*n**2/3 + 13*n + 3. Factor x(g).
(g + 1)**2*(g + 8)**2/3
Let v(f) be the second derivative of -f**5/25 + f**4/4 + 4*f**3/5 + f**2/2 + f + 185. Solve v(h) = 0.
-1, -1/4, 5
Factor 5/4*n**3 + 1/4*n**4 - 1/4*n**2 + 0 - 5/4*n.
n*(n - 1)*(n + 1)*(n + 5)/4
Let l(u) be the first derivative of -2*u**3/21 - 5*u**2/7 - 1. Factor l(m).
-2*m*(m + 5)/7
Let r = 5890498919/3728006905 - 1/12385405. Let q = r - -6/301. Factor -18/5*b**2 - q + 24/5*b.
-2*(3*b - 2)**2/5
Let p(k) = k + 20. Let y be p(