 Let h(f) = r*w(f) + 8*l(f). Factor h(i).
2*(7*i - 2)**2
Let g = 132/305 - 2/61. Suppose -g*a**3 + 2/5*a + 0 - 2/5*a**2 + 2/5*a**4 = 0. Calculate a.
-1, 0, 1
Suppose 0 = 3*r - 4*c + 250, -3*r + 4*c = 6*c + 262. Let y = -46 - r. Find t such that y*t**4 - 16*t**5 - 5*t**3 - 3*t + 2*t + 10*t**2 - 28*t**3 = 0.
0, 1/4, 1
Let h be ((-3)/(-12))/((-1)/(-20)). Suppose -9*n + 3*n**2 + 12*n**3 - 11 + h + 3*n**2 - 3*n**5 = 0. What is n?
-1, 1, 2
Let o(z) = -z**3 - 3*z**2 + 3*z + 1. Let v be o(-4). Let s be (-6)/18 + v/6. Factor s*f**2 - 1/2*f**4 + 0 + 1/4*f - 1/4*f**5 + 0*f**3.
-f*(f - 1)*(f + 1)**3/4
Let 8/13 + 2/13*g**2 - 8/13*g = 0. Calculate g.
2
Let d(n) be the first derivative of n**6/15 - 2*n**5/25 - n**4/10 + 2*n**3/15 - 2. Factor d(m).
2*m**2*(m - 1)**2*(m + 1)/5
Let x(p) be the first derivative of 1/4*p**4 + 3/2*p**2 + p**3 + p + 4. Suppose x(f) = 0. Calculate f.
-1
Let a be 0*(-1)/1*(-4)/8. Let k(t) be the second derivative of 0 + a*t**2 - 1/20*t**5 - 2*t - 1/3*t**3 + 1/4*t**4. Let k(w) = 0. Calculate w.
0, 1, 2
Let p(t) = -10*t**3 - 22*t**2 - 16*t - 16. Let o(l) = 3*l**3 + 7*l**2 + 5*l + 5. Let i be (3 + 2/(-6))*6. Let x(v) = i*o(v) + 5*p(v). Factor x(s).
-2*s**2*(s - 1)
Let w(a) be the third derivative of a**8/336 - a**7/90 + a**6/72 - a**5/180 - 4*a**2. Suppose w(j) = 0. What is j?
0, 1/3, 1
Suppose -32/5 - 2/5*r**4 + 64/5*r + 16/5*r**3 - 48/5*r**2 = 0. What is r?
2
Let 27/7*n**4 + 62/7*n**2 - 4/7*n**5 - 8/7 - 65/7*n**3 - 12/7*n = 0. Calculate n.
-1/4, 1, 2
Let b = -185 - -557/3. Factor -2/3*r - b*r**2 + 0.
-2*r*(r + 1)/3
Let s(l) be the second derivative of -l**7/294 - l**6/105 + 48*l. Let s(g) = 0. Calculate g.
-2, 0
Let u = 49 + -18. Factor u*h + 30*h - 41*h + 4 + 16*h**2.
4*(h + 1)*(4*h + 1)
Suppose -3*k - 28 + 1 = 0. Let t be 2/5 + k/60. Find o such that -1 + o - t*o**2 = 0.
2
Let l(q) be the second derivative of -5*q**4/12 + 5*q**3/3 - 5*q**2/2 + 4*q. Factor l(o).
-5*(o - 1)**2
Let u(p) = -p**3 + 5*p**2 - 6*p + 2. Let j be u(3). Factor 9/4*k + 3/4*k**3 + 1/2 + 5/2*k**j.
(k + 1)*(k + 2)*(3*k + 1)/4
Let c(i) be the second derivative of -i**5/5 + 2*i**4 - 6*i**3 + 8*i**2 - 10*i. Factor c(d).
-4*(d - 4)*(d - 1)**2
Suppose -3 = 2*u - 5. Let p = -1/147 + 1327/588. Solve 67/4*j**3 - 57/4*j**2 - 39/4*j**4 + 6*j + p*j**5 - u = 0.
2/3, 1
Let q be -3 + 1/(28/(-2124)). Let j = q - -79. Factor j*n**3 - 1/7*n - 1/7 + 1/7*n**2.
(n - 1)*(n + 1)**2/7
Let v(t) be the second derivative of -t**5/5 + t**4/3 + 2*t**3/3 - t**2/2 - 8*t. Let x(d) be the first derivative of v(d). Find l such that x(l) = 0.
-1/3, 1
Let r(t) = -t - 3. Let k be r(-5). Factor -3*b - 2*b**k - b**2 - 2 + 2*b**2.
-(b + 1)*(b + 2)
Suppose -y + 1 = -3*x, 3*y + 4*x - 3*x = 13. Factor 6*h**2 - y - h**3 - h**2 - h**2 - h**2.
-(h - 2)**2*(h + 1)
Let n(i) = -i**2 - 5*i + 6. Let l be n(-6). Let h(j) be the third derivative of 0*j + 0 + 1/60*j**5 - 2*j**2 + 1/12*j**4 + l*j**3. What is g in h(g) = 0?
-2, 0
Solve 0 - 12/7*v + 3/7*v**2 = 0.
0, 4
Let c(v) be the first derivative of -9 + 9/5*v**5 + 0*v - 6*v**4 - 3*v**2 + 7*v**3. Factor c(j).
3*j*(j - 1)**2*(3*j - 2)
Let m(a) be the first derivative of a**4/4 - 8*a**3/3 + a**2 - 11*a - 7. Let r be m(8). Factor -1/6*x**r - 1/6*x**4 + 0*x + 0*x**3 + 0*x**2 + 0.
-x**4*(x + 1)/6
Let s = 0 - -5. Let y = s - 2. Factor -h**3 - y*h - 2 + 0*h + 3*h**2 + 3.
-(h - 1)**3
Let f = 59/204 - -3/68. Solve 1/3*w**5 + 0*w + 1/3*w**4 - 1/3*w**3 - f*w**2 + 0 = 0 for w.
-1, 0, 1
Let c be (-322)/(-2205) - 2/14. Let b(p) be the third derivative of -1/90*p**6 + p**2 + 0*p**5 + 1/504*p**8 + 0 + 0*p + 0*p**3 - c*p**7 + 0*p**4. Factor b(g).
2*g**3*(g - 2)*(g + 1)/3
Factor -3*f**3 + 6*f**3 + f**3 - 4*f**2 + 4 - 3*f - f.
4*(f - 1)**2*(f + 1)
Let n be (5/10)/(1/(-4)). Let o be ((-9)/n)/(60/16). Factor 6/5*h**4 - 2/5*h**5 + o*h - 2/5 - 4/5*h**2 - 4/5*h**3.
-2*(h - 1)**4*(h + 1)/5
Let m(t) be the first derivative of 4*t**3/3 - 49*t**2/2 + 60*t - 9. Let h(l) = l**2 - 10*l + 12. Let i(b) = -11*h(b) + 2*m(b). Factor i(d).
-3*(d - 2)**2
Let l = -207/2 + 415/4. Let s = -4/101 + 723/404. Let 1/2 + 9/4*o**2 - 5/4*o**3 - s*o + l*o**4 = 0. What is o?
1, 2
Let j(f) = f**5 + f**4 + 4*f**3 - 11*f**2 + f + 4. Let y(u) = 5*u**5 + 7*u**4 + 24*u**3 - 65*u**2 + 5*u + 24. Let d(g) = -34*j(g) + 6*y(g). Solve d(k) = 0.
-1, 1, 2
Factor -1/5*v**2 + 0 + 0*v.
-v**2/5
Let t = 17 + -12. Let s(l) = 14*l**3 - 4*l**2 + 2*l + 4. Let w(h) = -9*h**3 + 3*h**2 - h - 3. Let m(a) = t*s(a) + 8*w(a). Factor m(n).
-2*(n - 2)*(n - 1)*(n + 1)
Factor 0 + 9*i - 3/2*i**2.
-3*i*(i - 6)/2
Let i(x) be the third derivative of 1/12*x**3 + 0*x + 1/40*x**5 - 1/16*x**4 - 2*x**2 + 0 - 1/240*x**6. Factor i(w).
-(w - 1)**3/2
Factor 42*x + 7*x**2 + 2*x**3 + 9*x**2 + 49 - 13.
2*(x + 2)*(x + 3)**2
Let q(i) = 2*i + 12. Let x be q(-5). Let w = 8 + -8. Find z such that 0*z + 0 + w*z**x - 2/7*z**3 = 0.
0
Factor 6*l**3 - 10/3*l**4 - 14/3*l**2 + 0 + 4/3*l + 2/3*l**5.
2*l*(l - 2)*(l - 1)**3/3
Let t = -16 + 5. Let i(l) = -35*l**3 + 56*l**2 + l. Let b(u) = -7*u**3 + 11*u**2. Let j(s) = t*b(s) + 2*i(s). Determine a so that j(a) = 0.
0, 2/7, 1
Let l be (-2)/(-2)*(-3 - -3). Determine k so that 6/7*k**3 + 0*k**2 - 3/7*k + l*k**4 - 3/7*k**5 + 0 = 0.
-1, 0, 1
Let l(y) be the third derivative of -1/1344*y**8 + 0*y + 0*y**3 + 0*y**7 + 1/240*y**6 + 0*y**5 + 0 - 3*y**2 - 1/96*y**4. Factor l(w).
-w*(w - 1)**2*(w + 1)**2/4
Suppose 13*h = -31*h. Solve 3/4*z**2 - 3/4*z**3 + 1/4*z**4 + h - 1/4*z = 0 for z.
0, 1
Factor -1/5 + 1/5*o**2 + 0*o.
(o - 1)*(o + 1)/5
Let l(r) be the second derivative of r**4/18 + 2*r**3/9 + 15*r. Find h, given that l(h) = 0.
-2, 0
Let h = -17 - 31. Let v be 4/h - 1/(-3). Factor -v*q + 1/2 - 1/4*q**2.
-(q - 1)*(q + 2)/4
Let m be (-17)/(-21) + (-4)/28. Let l(j) be the third derivative of -1/6*j**4 + 0*j + m*j**3 + 1/60*j**5 + 0 + 2*j**2. Factor l(d).
(d - 2)**2
Factor 2/3*c**3 + 0*c**2 + 0 + 0*c + 0*c**4 - 2/3*c**5.
-2*c**3*(c - 1)*(c + 1)/3
Let r(n) be the second derivative of 0*n**2 + 0 - 3*n + 1/2*n**3 - 1/4*n**4. Suppose r(p) = 0. What is p?
0, 1
Suppose 0 = -4*p - 2*b + 7*b, 0 = -3*b. Suppose -2/5*x - 1/5*x**2 + p = 0. Calculate x.
-2, 0
Suppose -2 - 3*l**2 + 3*l - 11*l + 1 - 13*l**2 = 0. What is l?
-1/4
Factor 2/3 + o**2 + 5/3*o.
(o + 1)*(3*o + 2)/3
What is t in 14*t**2 + 104*t**3 - 74*t**3 + 5*t + 18*t**4 - 3*t = 0?
-1, -1/3, 0
Let j = -3 - -6. Factor -2*p**2 + 0*p**4 + 9*p**4 + j*p**2 + 6*p**3.
p**2*(3*p + 1)**2
Let x = 13 - 49. Let y = x + 39. Solve -4/7 + 6/7*g**y + 4/7*g**2 - 6/7*g = 0 for g.
-1, -2/3, 1
Let g(v) = -28*v**2 + 28*v. Let y(s) = -2*s**2 + s + 1. Let r(i) = -g(i) + 16*y(i). Determine w so that r(w) = 0.
-4, 1
Suppose -5*k - 22 = 3*f, -k + 2*f + 4 = k. Let x(j) = -3*j - 1. Let v be x(k). What is a in -9*a**2 + 6*a**3 - 5*a + 3*a**4 + v*a = 0?
-3, 0, 1
Let h(l) be the second derivative of l**6/40 + l**5/20 + l**2/2 - 4*l. Let g(u) be the first derivative of h(u). Suppose g(x) = 0. Calculate x.
-1, 0
Suppose 0 = m - 2*q - 34, -5*q - 43 = -m - 0*q. Let h = -28 + m. Factor 1/5*k**2 + h + 2/5*k**3 + 1/5*k**4 + 0*k.
k**2*(k + 1)**2/5
Let g(r) be the third derivative of 0 + 1/300*r**5 + 3*r**2 + 1/120*r**4 + 0*r**3 - 1/1050*r**7 + 0*r - 1/600*r**6. Factor g(c).
-c*(c - 1)*(c + 1)**2/5
Let c = 33 - 223/7. Let g be 23/28 - (3 + 33/(-12)). Solve -18/7*b - c*b**2 - g = 0.
-2, -1/4
Let h(x) = -x**4 - 2*x**3 + 3*x**2 - 3*x. Let c(w) = 2*w**4 + 4*w**3 - 6*w**2 + 7*w. Let d(r) = -6*c(r) - 14*h(r). Suppose d(s) = 0. What is s?
-3, 0, 1
Let i(r) be the first derivative of -r**5/80 + r**4/24 - r**3/24 - r + 2. Let o(p) be the first derivative of i(p). Factor o(l).
-l*(l - 1)**2/4
Suppose 1 = -t + 7. Let q = t - 4. Solve -b**2 + 2*b + 2 - 1 - q = 0.
1
Let v(j) be the first derivative of j**4/12 + j**3/9 - j**2/6 - j/3 + 11. Suppose v(b) = 0. What is b?
-1, 1
Let p(g) be the first derivative of -g**6/2 + 6*g**5/5 + 21*g**4/4 + 4*g**3 + 4. Factor p(x).
-3*x**2*(x - 4)*(x + 1)**2
Let f(c) be the first derivative of 1/2*c - 1/10*c**5 + 0*c**3 + 1/4*c**4 + 1 - 1/2*c**2. Factor f(t).
-(t - 1)**3*(t + 1)/2
Factor 3*u**2 + 4/3 + 4*u.
(3*u + 2)**2/3
Let s = 4 + 6. Let d be (-4)/s - (-21)/35. Factor d*c**2 + 0*c - 1/5.
(c - 1)*(c + 1)/5
Let x be (-36)/(-8)*(-4)/(-6). Find p, given that -2*p**3 + 2*p + p - p**x + 0*p**3 = 0.
-1, 0, 1
Suppos