6*k**3 - 1/3 = 0. Calculate k.
1, 2
Find h, given that -2/9*h**2 - 16/3*h - 32 = 0.
-12
Suppose 3*a - 26 = a. Let x(j) = 4*j**4 - 2*j**2 - 8. Let g(v) = 9*v**4 - 5*v**2 - 17. Let t(h) = a*x(h) - 6*g(h). Determine u so that t(u) = 0.
-1, 1
Let -2/3*c**2 + 0 - 2*c = 0. What is c?
-3, 0
Let o(g) be the first derivative of 0*g**4 - 2/15*g**5 + 0*g**2 + 0*g + 5 + 2/9*g**3. Factor o(n).
-2*n**2*(n - 1)*(n + 1)/3
Let a(d) be the second derivative of -d**7/2520 - d**6/360 + d**4/6 + d. Let g(o) be the third derivative of a(o). Solve g(k) = 0 for k.
-2, 0
Let d(p) = p**2 + 2. Let l be d(0). Solve -2*v + 8*v**l - 6*v**2 - 4 + 0 = 0 for v.
-1, 2
Let h be ((-45)/60)/((-3)/2). Let 1/4*c**3 + 0 + h*c - 3/4*c**2 = 0. What is c?
0, 1, 2
Let b = -1 - -5. Suppose -4*i = -2 - 6, -f + 9 = b*i. Factor -1 + v**3 + f - 3*v**4 + 4*v**4.
v**3*(v + 1)
Let t(o) = 3*o**4 + 3*o**3 - 6*o**2 + 4. Let s(f) = -8*f**4 - 9*f**3 + 17*f**2 - 11. Let n(p) = -4*s(p) - 11*t(p). Suppose n(l) = 0. Calculate l.
0, 1, 2
Factor 2*r**2 - 5*r**2 + 6*r**3 + 5*r**2 + 4*r**4.
2*r**2*(r + 1)*(2*r + 1)
Let b = 902/3495 + 2/233. Let t = b + 1/15. Factor t*x**2 - 1/3*x**4 + 0 - 1/3*x**3 + 1/3*x.
-x*(x - 1)*(x + 1)**2/3
Let b = 125/26 + -56/13. Factor 0*a + 1/2 - b*a**2.
-(a - 1)*(a + 1)/2
Factor 4/9*b - 2/9*b**2 + 0.
-2*b*(b - 2)/9
Let r(c) be the second derivative of -c**5/140 + c**4/42 + c**3/6 + 2*c**2/7 + 4*c. Let r(d) = 0. What is d?
-1, 4
Solve -2/3*j + 0 + 1/6*j**3 + 0*j**2 = 0 for j.
-2, 0, 2
Let d = 4/9 - -8/9. Suppose -1/3*a**4 + d*a**3 + 0 - 5/3*a**2 + 2/3*a = 0. Calculate a.
0, 1, 2
Let t(s) = s**5 + 4*s - 5*s**2 - 4*s - 5 + 5*s - s**4 + 2*s**5. Let l(i) = i**5 - 2*i**2 + 2*i - 2. Let f(d) = -5*l(d) + 2*t(d). Suppose f(q) = 0. What is q?
0, 2
Let l(r) = r - 10 - r - 11*r**4 - 5*r**4 + 6*r**2. Let i(o) = 5*o**4 - 2*o**2 + 3. Let h(m) = 20*i(m) + 6*l(m). Factor h(j).
4*j**2*(j - 1)*(j + 1)
Factor -6*b**3 + 14*b**5 + b**3 - b**2 - 4 + b**4 + 8*b - 13*b**5.
(b - 1)**3*(b + 2)**2
Suppose 13*m = 7*m - 2*m. Factor m + 0*d + 2/3*d**3 + 2/3*d**2.
2*d**2*(d + 1)/3
Factor 6*r**3 + 51/2*r - 45/2*r**2 - 9.
3*(r - 2)*(r - 1)*(4*r - 3)/2
Let 61*a + 20 - 5*a**2 - 99*a + 53*a = 0. Calculate a.
-1, 4
Let r(f) be the first derivative of 2*f**5/15 - 5*f**4/6 + 16*f**3/9 - 4*f**2/3 - 1. Let r(t) = 0. What is t?
0, 1, 2
Factor -1/3*z**2 + 0*z + 0.
-z**2/3
Let o(c) be the second derivative of -7/30*c**5 + 1/9*c**3 - 4/45*c**6 + 0*c**2 - 1/9*c**4 + 0 - 3*c. Find i, given that o(i) = 0.
-1, 0, 1/4
Let c(v) be the first derivative of -1/5*v**2 - 2 + 2/15*v**3 + 1/10*v**4 - 2/5*v. Solve c(n) = 0.
-1, 1
Let u(l) be the third derivative of 5/16*l**4 + 0*l + 1/2*l**3 + 0 - 3/40*l**5 - 2*l**2. Factor u(x).
-3*(x - 2)*(3*x + 1)/2
Suppose 5*o - 18 = -8. Suppose -2*a = o*a + 2*f - 26, -f + 9 = a. Find m such that 4*m**5 - 2*m**5 + 0*m**a + 2*m**4 = 0.
-1, 0
Let i be -4 - ((-33)/12 - -1). Let j = i + 11/4. Find c, given that -5*c**3 + 5*c**2 + 5/2*c**4 - 5/2*c + 1/2 - j*c**5 = 0.
1
Let s(b) be the third derivative of 0*b - 1/100*b**5 + 0 + 0*b**3 + 1/60*b**4 + 0*b**6 + 1/1050*b**7 - 6*b**2. Factor s(c).
c*(c - 1)**2*(c + 2)/5
Let f be 15/35*64/6. Let o be 34/7 + 0 + 2. Suppose -2/7*b - o*b**3 - 18/7*b**2 - f*b**4 + 0 = 0. Calculate b.
-1, -1/4, 0
Let k(r) be the first derivative of r**4/20 - 9. Let k(b) = 0. Calculate b.
0
Let o(b) be the second derivative of -b**9/3024 + b**8/840 - b**6/180 + b**5/120 + b**3/3 + 2*b. Let q(h) be the second derivative of o(h). Factor q(c).
-c*(c - 1)**3*(c + 1)
Let d(f) be the first derivative of -f**9/1512 + f**7/105 - f**6/90 - f**5/20 + f**4/6 + 2*f**3/3 - 4. Let b(q) be the third derivative of d(q). Factor b(k).
-2*(k - 1)**3*(k + 1)*(k + 2)
Let k(j) be the second derivative of -j**6/45 - j**5/6 - j**4/2 - 7*j**3/9 - 2*j**2/3 + 7*j. Factor k(u).
-2*(u + 1)**3*(u + 2)/3
Let q be (3/9)/(1/3). Let r = 9 - 7. Factor -g - 1/4*g**r - q.
-(g + 2)**2/4
Let z(n) be the third derivative of -4*n**2 + 0*n**3 + 1/36*n**4 - 1/90*n**5 + 0 + 0*n. Factor z(u).
-2*u*(u - 1)/3
Suppose 8 = 3*o - 1. Suppose -2 = -3*j + 13, -15 = -3*a - o*j. Factor 0 + 1/2*m**3 + a*m - 1/2*m**2.
m**2*(m - 1)/2
Let f(z) = z**2 + 13*z + 5. Let x(r) = -12*r - 4. Let k(w) = 4*f(w) + 5*x(w). Factor k(u).
4*u*(u - 2)
Let i be 4/(-6) + (-182)/6. Let h = 31 + i. Factor h - 1/4*j + 0*j**2 + 1/4*j**3.
j*(j - 1)*(j + 1)/4
Let j(v) be the first derivative of -2*v**5/35 - v**4/14 + 8*v**3/7 - 4*v**2/7 - 32*v/7 - 25. Solve j(w) = 0 for w.
-4, -1, 2
Suppose 0*i + 20 = 5*i. Suppose 0*n**3 + n**2 + n**2 - n**4 + 3*n**4 + i*n**3 = 0. What is n?
-1, 0
Let q be (8 - 1) + 30/(-12). Solve 3/2*o**2 - 6*o + q = 0 for o.
1, 3
Let o(a) be the third derivative of -a**7/735 - a**6/84 - a**2 - 20. Factor o(q).
-2*q**3*(q + 5)/7
Let p(a) = -10*a + 4. Let r be p(-6). Factor 0*n**4 + 10*n + r*n**2 - 20*n**3 - 100*n**4 - 26*n.
-4*n*(n + 1)*(5*n - 2)**2
Let y(k) be the second derivative of -5*k**4/36 + 13*k**3/18 + k**2 - 4*k + 1. Factor y(s).
-(s - 3)*(5*s + 2)/3
Let s(x) be the third derivative of -x**11/36960 - x**10/75600 + x**5/15 + 4*x**2. Let r(w) be the third derivative of s(w). Let r(n) = 0. What is n?
-2/9, 0
Let c(o) be the third derivative of -8*o**6/15 - 32*o**5/15 - 5*o**4/6 + 25*o**3/3 + 21*o**2. Factor c(s).
-2*(2*s - 1)*(4*s + 5)**2
Factor -50/3 - 20/3*a - 2/3*a**2.
-2*(a + 5)**2/3
Let t(y) be the second derivative of 0*y**4 - 1/9*y**3 + 1/90*y**6 + 2*y + 1/30*y**5 - 1/6*y**2 + 0. Factor t(h).
(h - 1)*(h + 1)**3/3
Let s(t) be the first derivative of -t**3 - 2*t**2 - t + 5. Factor s(o).
-(o + 1)*(3*o + 1)
Factor g - 5*g**3 - 4*g + 18*g**2 - 6*g**3 - 4*g**3.
-3*g*(g - 1)*(5*g - 1)
Suppose m - 4*m + 9 = 0. Factor 2/5 - 4/5*w**2 - 4/5*w**m + 2/5*w**4 + 2/5*w**5 + 2/5*w.
2*(w - 1)**2*(w + 1)**3/5
Let w(n) be the second derivative of 5*n**4/6 - 19*n**3/6 + 2*n**2 - 6*n. Let k(p) = -21*p**2 + 39*p - 8. Let d(f) = -3*k(f) - 7*w(f). Factor d(z).
-(z - 2)*(7*z - 2)
Suppose -20 = -4*o - 4*v, 5*o - 2 = -2*v + 8. Suppose o + 3/7*p + 3/7*p**2 = 0. Calculate p.
-1, 0
Let u(d) be the first derivative of 7 - 4/3*d**3 + 0*d**2 + 4*d. Factor u(b).
-4*(b - 1)*(b + 1)
Let d be 4 + -11 + 10 + (-1)/1. Solve -3/7*j**d + 0*j + 0 + 3/7*j**3 = 0 for j.
0, 1
Let i = -87 - -148. Let w = i + -181/3. Factor 0 + w*n - 2/3*n**3 + 2/3*n**2 - 2/3*n**4.
-2*n*(n - 1)*(n + 1)**2/3
Let b be 6/(-8) + 276/48. Let s be -4 - 8/b*-3. Let -8/5*k**2 - s + 2*k + 2/5*k**3 = 0. What is k?
1, 2
Let l be 2/4 - (-11)/2. Let x be (-16)/6*l/(-4). Find u, given that -4*u**4 - 4*u + 0*u**2 + 6*u**2 + 2*u**x = 0.
-2, 0, 1
Let v(l) be the second derivative of l**4/3 - 3*l + 1. Factor v(d).
4*d**2
Let c(j) = -11*j - 427. Let n be c(-39). Factor -3/7*z + 3/7*z**n - 2/7 + 2/7*z**3.
(z - 1)*(z + 2)*(2*z + 1)/7
Let n(f) = 14*f**2 - 3*f + 7. Let y(d) = -7*d**2 + d - 3. Let r(q) = -3*n(q) - 7*y(q). Suppose r(z) = 0. What is z?
-2/7, 0
Let b(t) be the third derivative of t**6/180 + t**5/30 + t**4/18 + 3*t**2 + 3*t. Factor b(j).
2*j*(j + 1)*(j + 2)/3
Let t(f) = 27*f**2 - 60*f. Let w(l) = -11*l**2 + 24*l. Let i(r) = -5*t(r) - 12*w(r). Determine d, given that i(d) = 0.
0, 4
Let w(t) = t**4 - t**3 + t. Let j(p) = -2*p**5 - 5*p**4 + 7*p**3 + 8*p**2 - 9*p. Let f(h) = j(h) + w(h). Factor f(x).
-2*x*(x - 1)**2*(x + 2)**2
Let t(h) be the second derivative of -h + 1/24*h**4 + h**2 + 0 + 1/3*h**3. Factor t(c).
(c + 2)**2/2
Let c(y) be the third derivative of -y**8/36960 + y**7/6930 - 5*y**4/12 - 8*y**2. Let k(j) be the second derivative of c(j). Determine m so that k(m) = 0.
0, 2
Let y = -14533 - -508863/35. Let h = -36/7 + y. Find m, given that -h*m**2 + 2/5*m**3 + 0 + 2/5*m = 0.
0, 1
Let y(n) be the second derivative of 3*n + 8*n**2 + 1/10*n**5 + n**4 + 4*n**3 + 0. Solve y(a) = 0 for a.
-2
Let p(w) be the second derivative of -2*w**6/15 - 3*w**5/5 - 2*w**4/3 + 7*w. Factor p(d).
-4*d**2*(d + 1)*(d + 2)
Suppose 3*v + 5*g + 8 = -0*v, 4*g + 32 = 4*v. Let k(z) be the second derivative of 0 + 1/2*z**2 + 3*z + 5/12*z**3 + 1/40*z**5 + 1/6*z**v. Factor k(c).
(c + 1)**2*(c + 2)/2
Let r(v) = -9*v**3 - 2*v**2 + 7*v. Let z(p) = p**3 - p. Let w be ((-1)/(-3))/(3/(-9)). Let q(f) = w*r(f) - 5*z(f). Factor q(h).
2*h*(h + 1)*(2*h - 1)
Let q(s) be the first derivative of s**5/240 + s**2 - 2. Let o(x) be the second derivativ