6 + 1/38. Factor p*u**2 - 8/7*u + 8/7.
2*(u - 2)**2/7
Let f be 745/(-4400) - 6/(-33). Let p(u) be the second derivative of 1/24*u**3 - 1/48*u**4 + 0 + 1/120*u**6 - f*u**5 - u + 0*u**2. Solve p(k) = 0.
-1, 0, 1
Let y(n) be the second derivative of n**5/120 - 5*n**4/72 + n**3/6 - 20*n. Factor y(l).
l*(l - 3)*(l - 2)/6
Factor 1/2*g**2 + g + 0.
g*(g + 2)/2
Suppose 16 = 5*h + 5*v - 4, 0 = -5*h - 4*v + 18. Let 2*i**2 + 8*i**2 - 4*i**2 + h*i**3 + 2 + 6*i = 0. Calculate i.
-1
Let b be 4 + (-45)/12 - 1/(-12). Factor s + 2/3 - 1/3*s**4 - b*s**2 - s**3.
-(s - 1)*(s + 1)**2*(s + 2)/3
Let u(s) be the first derivative of s**7/105 - 2*s**6/75 + s**4/15 - s**3/15 - s - 3. Let l(m) be the first derivative of u(m). Factor l(k).
2*k*(k - 1)**3*(k + 1)/5
Let c(w) be the third derivative of -w**5/120 - w**4/16 - w**3/6 - 16*w**2. Factor c(p).
-(p + 1)*(p + 2)/2
Determine j, given that -28*j**4 + 55*j**4 + 0*j**2 - 26*j**4 - 4*j**5 - j**2 + 4*j**3 = 0.
-1, 0, 1/4, 1
Let w be (-5)/(-1) + 1 + -2. Solve 5*u**4 + 0*u**4 - 3*u**w - 4*u**3 + 2*u**2 + 8*u**3 = 0.
-1, 0
Let o be 4/(-42)*(49 + -52). Factor -o*z**2 + 8/7*z - 8/7.
-2*(z - 2)**2/7
Let c be (1 + -1)/((-4)/(-2)). Factor 2*w**2 + 3*w**3 + c*w**3 + w**4 + w**2 + 0*w + w.
w*(w + 1)**3
Factor -6*k**2 - 3*k + 9*k + 9 + 3*k**2.
-3*(k - 3)*(k + 1)
Let g(x) = 2*x**3 - 9*x**2 + 5*x + 2. Let h(p) be the first derivative of 2*p**2 + 1/2*p**4 + 2*p - 8/3*p**3 - 2. Let r(i) = -6*g(i) + 7*h(i). Factor r(f).
2*(f - 1)**2*(f + 1)
Let p(w) = 2*w + 26. Let b be p(-12). Let j(z) be the second derivative of 0*z**5 + 0*z**3 + 0 + 1/6*z**4 - 1/2*z**2 - 1/30*z**6 + b*z. Factor j(a).
-(a - 1)**2*(a + 1)**2
Let r(n) be the second derivative of -n**9/3528 + n**8/5880 + 2*n**3/3 + 5*n. Let w(s) be the second derivative of r(s). Solve w(d) = 0 for d.
0, 1/3
Let j(s) be the third derivative of 0*s**3 + 1/150*s**5 + 1/150*s**6 + 0*s - 1/420*s**8 + 0*s**4 - 1/525*s**7 + 0 - 4*s**2. Let j(d) = 0. Calculate d.
-1, -1/2, 0, 1
Suppose 0 = a - 3*a. Suppose 3*d + a*d = 21. What is n in -3*n**2 - d*n + 1 + 3 + n**4 + 3*n + 2*n**3 = 0?
-2, 1
Suppose v - 4*x + 6 = 0, x + x = -v + 6. Let k = v - 2. Factor 2*n + k*n + 8*n**2 + 0 + 8*n**3 + 0.
2*n*(2*n + 1)**2
Let q(k) be the second derivative of 1/6*k**4 + k + 4/15*k**6 + 0*k**2 - 1/14*k**7 + 0*k**3 + 0 - 7/20*k**5. Suppose q(h) = 0. Calculate h.
0, 2/3, 1
Solve 2 + 5*x - 8*x**2 + 0*x + x = 0 for x.
-1/4, 1
Let u be (-10)/35 - 44/(-7). Factor -3*i - 6*i - i + u*i**2 + 2*i**3 + 4 + i**4 - 3*i**4.
-2*(i - 1)**3*(i + 2)
Suppose -3*y - 5*s = 3, 3 = 2*y + 3*s + 4. Let t(m) = -m**2 - 8*m - 8. Let x be t(-6). Find u, given that x*u**y + 4 - u**2 - u - 3*u**4 + u**3 - 4 = 0.
-1, 0, 1
Let i(b) be the third derivative of -b**7/10080 - b**6/2880 + b**4/12 - 6*b**2. Let l(k) be the second derivative of i(k). Factor l(n).
-n*(n + 1)/4
Factor -12/5*o + 2/5*o**2 + 2.
2*(o - 5)*(o - 1)/5
Let w = 0 + 3. Suppose -5*l - o - 3 = -2*o, l + w*o - 9 = 0. Let 1/2*m**3 + 0 - 1/2*m**2 + l*m = 0. What is m?
0, 1
Let p(i) be the third derivative of i**2 + 0*i**4 - 1/315*i**7 + 0*i**3 - 1/504*i**8 + 0 + 1/90*i**5 + 0*i + 1/180*i**6. Suppose p(n) = 0. What is n?
-1, 0, 1
Let x(v) = v**2 - 3*v - 2. Let r be x(5). Suppose -2*z = 2 - r. Suppose 2/3*s - 1/3*s**z + 1/3*s**2 + 0 = 0. What is s?
-1, 0, 2
Let u(b) be the first derivative of 2*b**3/51 - 14. Suppose u(c) = 0. What is c?
0
Let b(n) = -4*n**3 - 2*n**2 - 2*n. Let j(y) = -y**3 + y**2 - y. Let w(a) = b(a) - 2*j(a). Let w(t) = 0. Calculate t.
-2, 0
Let j(l) = -l**3 + 7*l**2 + 11*l - 24. Let p be j(8). Let p + 2/5*h + 2/5*h**3 - 4/5*h**2 = 0. What is h?
0, 1
Determine y, given that 2*y**3 + 2*y**4 + 0*y + 0 + 0*y**2 + 1/2*y**5 = 0.
-2, 0
Let r = -119 - -122. Let n(y) be the first derivative of -3/2*y**2 - 1/3*y**r + 1 - 2*y. Determine u, given that n(u) = 0.
-2, -1
Let n(w) be the second derivative of -w**7/14 + w**6/5 + 3*w**5/2 - 2*w**4 - 33*w**3/2 - 27*w**2 + 32*w. Suppose n(b) = 0. What is b?
-2, -1, 3
Let o(j) be the first derivative of 4/5*j**2 + 1/10*j**4 - 6 + 0*j + 8/15*j**3. Find x, given that o(x) = 0.
-2, 0
Let c(y) be the third derivative of y**5/60 + 5*y**4/24 + y**3 + 26*y**2. Factor c(b).
(b + 2)*(b + 3)
Determine y, given that 114 + 114 + 5*y**2 - 35*y - 198 = 0.
1, 6
Suppose 3*j = d + 11, j - 3*j = -10. Factor -11/4*n**3 - 15/4*n**2 - 3/4*n**d - 9/4*n - 1/2.
-(n + 1)**3*(3*n + 2)/4
Let l(v) be the second derivative of -1/42*v**4 - 1/21*v**6 - 2/147*v**7 + v + 0*v**3 + 0 - 2/35*v**5 + 0*v**2. Factor l(i).
-2*i**2*(i + 1)**2*(2*i + 1)/7
Suppose 6*a + a**3 - 2*a**2 + a + 6*a + 2 - 14*a = 0. What is a?
-1, 1, 2
Let p = 2005/2 - 1002. Factor -1/8 + p*o**3 - 1/2*o + 3/8*o**4 - 1/4*o**2.
(o - 1)*(o + 1)**2*(3*o + 1)/8
What is p in 6/5*p**3 + 0 - 2/5*p**5 - 4/5*p + 2/5*p**4 - 2/5*p**2 = 0?
-1, 0, 1, 2
Let r be (10/4)/(2/12). Suppose -5*g + 15 = 5*o, 5*g - 6*o = -2*o + r. Find v, given that 2*v + 1 + 5/4*v**2 + 1/4*v**g = 0.
-2, -1
Let x(s) = 8*s**5 - 5*s**4 - 5*s**3 + 5*s**2 + 3*s + 3. Let j(h) = -25*h**5 + 15*h**4 + 15*h**3 - 15*h**2 - 10*h - 10. Let n(p) = 3*j(p) + 10*x(p). Factor n(o).
5*o**2*(o - 1)**2*(o + 1)
Let s(u) = -u**2 - 10*u - 6. Let b be s(-9). Let 17 - b*h**3 + 6*h**2 - 17 - 3*h = 0. Calculate h.
0, 1
Let g(m) = 3*m**2 - 4*m + 11. Let v(w) = -w**2 - w - 1. Let s(j) = g(j) + 2*v(j). Factor s(c).
(c - 3)**2
Let q be 3 - (-3)/(6/4). Let b(n) be the first derivative of 24/35*n**q - 13/14*n**4 + 1 + 0*n + 4/7*n**3 - 1/7*n**2 - 4/21*n**6. Find w such that b(w) = 0.
0, 1/2, 1
Let x = 153 - 1375/9. Suppose 2/3*s**3 - 2/3*s - 2/9*s**4 + 4/9 - x*s**2 = 0. What is s?
-1, 1, 2
Let k = 31672841/265662 - 3/29518. Let z = -119 + k. Solve -2/9*x + 2/9*x**4 + z + 4/9*x**3 - 2/9*x**5 - 4/9*x**2 = 0.
-1, 1
Let o = 24/19 - -4/57. Let f(l) be the second derivative of 0 - l - 1/18*l**4 - 4/9*l**3 - o*l**2. Factor f(w).
-2*(w + 2)**2/3
Let b(d) be the third derivative of -d**8/2016 + d**6/720 - 2*d**2. Find u such that b(u) = 0.
-1, 0, 1
Let l be ((-24)/20)/(1/(-5)). Let u be (-14)/12 + l/4. Factor -u + b - b**2 + 1/3*b**3.
(b - 1)**3/3
Let m(t) = t**3 - 5*t**2 + 21*t + 16. Suppose 0 = 2*a + 3*a - 110. Let k(z) = z**2 - 4*z - 3. Let s(j) = a*k(j) + 4*m(j). Solve s(h) = 0.
-1, -1/2, 1
Let n(i) be the first derivative of -i**7/840 - i**6/240 + i**5/80 + i**4/24 - i**3/6 + 3*i**2 - 1. Let y(g) be the second derivative of n(g). Factor y(l).
-(l - 1)**2*(l + 2)**2/4
Let r(f) be the third derivative of f**5/160 + f**4/96 - f**3/48 + 3*f**2. Let r(w) = 0. Calculate w.
-1, 1/3
Suppose 3*r - 5 = 2*r. Suppose r*i = 4*w, 0 = 4*i + i. Factor 0 - 2/3*l**2 + 1/3*l**3 + w*l.
l**2*(l - 2)/3
Let a be (55/(-44))/((-15)/6). Factor a - 1/4*m**2 - 1/4*m.
-(m - 1)*(m + 2)/4
Let g(n) be the second derivative of -3/50*n**5 + 0 - 2*n + 0*n**2 - 1/105*n**7 - 1/25*n**6 + 0*n**3 - 1/30*n**4. Factor g(r).
-2*r**2*(r + 1)**3/5
Let l(b) be the second derivative of 0 + 1/6*b**3 - 1/20*b**5 + 1/2*b**2 - b - 1/12*b**4. Find q such that l(q) = 0.
-1, 1
Let y(z) be the first derivative of 0*z**3 - 1/9*z**6 + 0*z + 0*z**2 + 1 + 2/15*z**5 + 1/3*z**4. Factor y(q).
-2*q**3*(q - 2)*(q + 1)/3
Let c be (-6)/(-9) + (-10)/(-3). Factor -2*d + 0*d**2 + d**c - 4*d**2 + 3*d**2 - d**5 + 3*d**3.
-d*(d - 2)*(d - 1)*(d + 1)**2
Let h(s) be the second derivative of 0*s**4 - 1/8*s**3 + 0*s**2 + 0 + 3/80*s**5 - 3*s. Let h(o) = 0. What is o?
-1, 0, 1
Suppose -2*q = -3*q. Let i be (-2 - (-2 - q))/1. Factor i*v + 1/3 - 1/3*v**2.
-(v - 1)*(v + 1)/3
Let s be 5/(-3)*10/(-50). Factor -1/3 - s*y**2 + 2/3*y.
-(y - 1)**2/3
Factor 2/5*u + 0 + 12/5*u**3 + 2/5*u**5 - 8/5*u**2 - 8/5*u**4.
2*u*(u - 1)**4/5
Let l be -3 + 4 - (-12 - -9). Factor 1/5*f + 2/5*f**2 + 0*f**3 - 1/5*f**5 + 0 - 2/5*f**l.
-f*(f - 1)*(f + 1)**3/5
Suppose o - 8 = -3. What is s in 8/5*s - 6/5*s**3 + 0 + 8/5*s**2 - 4/5*s**4 + 2/5*s**o = 0?
-1, 0, 2
Let c be (-33)/20*24/1. Let o = c + 40. Factor -o*j**2 - 2/5 + 4/5*j.
-2*(j - 1)**2/5
Let n be 4 - 1*(2 + -1). Factor 7*o**n - 3*o**4 - 5*o - o**3 + 5*o.
-3*o**3*(o - 2)
Let a(g) be the third derivative of -g**7/1785 + g**6/1020 + g**5/510 - g**4/204 - 33*g**2. Suppose a(p) = 0. What is p?
-1, 0, 1
Let z(x) = x - 4. Let b be z(6). Let l(v) be the third derivative of -1/300*v**6 + 0 + 0*v + b*v**2 + 0*v**3 + 0*v**4 + 1/75*v**5 - 1/525