
Let k be (-1)/((1/1)/33). Let y = 101/3 + k. Suppose -4/3 - 2/3*w + y*w**2 = 0. Calculate w.
-1, 2
Factor -4/9*q**2 + 2/9*q**3 + 0*q + 2/9*q**4 + 0.
2*q**2*(q - 1)*(q + 2)/9
Determine y, given that -8/5*y - 16/5 - 1/5*y**2 = 0.
-4
Let l(p) be the second derivative of 3*p**5/40 - 3*p**4/8 - 9*p**3/4 - 15*p**2/4 + 10*p. Factor l(m).
3*(m - 5)*(m + 1)**2/2
Let x(r) be the third derivative of r**7/2520 + r**6/120 + 3*r**5/40 - 5*r**4/24 + 2*r**2. Let y(k) be the second derivative of x(k). Factor y(c).
(c + 3)**2
Let q be (-1)/(3/(-12 - 0)). Suppose 4*v = -2*g - 12, -4*g + v - q*v - 4 = 0. Suppose -2*m + 0*m**2 + 2*m**g + 6*m = 0. What is m?
-2, 0
Let j(q) be the third derivative of q**8/2184 + q**7/455 + q**6/260 + q**5/390 + q**2. Determine u, given that j(u) = 0.
-1, 0
Let y(z) = -z + 1. Let h(l) = 3*l**2 + 8*l - 5. Let k(c) = h(c) + 5*y(c). Let p(i) = -7*i**2 - 7*i - 1. Let u(b) = 5*k(b) + 2*p(b). Factor u(o).
(o - 1)*(o + 2)
Let g(f) = -6*f**2 - 13 + 10*f + f**3 + 4 - 4*f**2. Let y be g(9). Factor 2/3*q**4 + 0 + y*q + 2/3*q**3 - 2/3*q**2 - 2/3*q**5.
-2*q**2*(q - 1)**2*(q + 1)/3
Let h(s) be the first derivative of -1/3*s**6 + 0*s + 0*s**3 + 3 + 0*s**5 + 1/2*s**4 + 0*s**2. Factor h(k).
-2*k**3*(k - 1)*(k + 1)
Let w(d) be the first derivative of -d**7/280 - d**6/20 - 3*d**5/10 - d**4 + d**3 - 5. Let a(f) be the third derivative of w(f). Factor a(r).
-3*(r + 2)**3
Suppose -s - 2*j + 5 = 2*s, s - 2*j - 15 = 0. Suppose 2*u = 3 + s. Suppose 2*r**3 - r**4 + 0*r**4 + r**u - 2*r**5 = 0. Calculate r.
-1, 0, 1
Factor -3*m + 2*m**3 + 3*m**2 - 2*m + 3*m**3 + 3*m.
m*(m + 1)*(5*m - 2)
Let m(a) be the first derivative of 3*a**4/2 + 10*a**3/3 - 11*a**2 + 6*a + 15. Determine w so that m(w) = 0.
-3, 1/3, 1
Suppose 2*h + 12 = h. Let p be (-4)/h + 22/6. Factor -2/5*d - 2/5*d**2 + 0 + 2/5*d**p + 2/5*d**3.
2*d*(d - 1)*(d + 1)**2/5
Determine k, given that 3/8*k + 0 - 3/4*k**3 - 3/8*k**2 = 0.
-1, 0, 1/2
Let k(d) = -4*d**3 + 8*d**2 - 16*d + 10. Let n(x) = 5*x**3 - 7*x**2 + 16*x - 11. Let l(p) = 3*k(p) + 2*n(p). Factor l(b).
-2*(b - 2)**2*(b - 1)
Let m = 12 - 9. Solve 4*v - 19*v**3 + 10*v**5 - 34*v**4 - 6*v**2 + 61*v**m - 16*v**2 = 0 for v.
0, 2/5, 1
Let i be 4 - (-1 - -4)/3. Suppose 2/3*o**i + 2/3*o + 4/3*o**2 + 0 = 0. What is o?
-1, 0
Let t(h) be the second derivative of -h**6/40 + 3*h**5/40 + 3*h**4/16 + 2*h. Let t(n) = 0. Calculate n.
-1, 0, 3
Let w(o) = o**2 - 1. Let k(l) = 9*l**2 + 30*l - 4. Let y(t) = -k(t) + 4*w(t). Solve y(f) = 0 for f.
-6, 0
Let m(u) be the second derivative of -49*u**5/50 - 7*u**4/15 - u**3/15 + 20*u. Factor m(s).
-2*s*(7*s + 1)**2/5
Let u = -81 + 83. Let v(r) be the second derivative of -1/15*r**3 + u*r - 1/30*r**4 + 2/5*r**2 + 0. Factor v(y).
-2*(y - 1)*(y + 2)/5
Let o(l) be the first derivative of 4*l**3/3 + 2*l**2 - 12. Factor o(j).
4*j*(j + 1)
Let k(a) be the third derivative of a**5/15 - a**4/6 - 4*a**3/3 + 5*a**2. Solve k(f) = 0.
-1, 2
Factor -10*f**4 - 14*f**2 + 4*f**4 - 2*f**2 - 28*f**3.
-2*f**2*(f + 4)*(3*f + 2)
Let q(f) be the second derivative of -9*f**5/10 + 10*f**4/3 - 13*f**3/3 + 2*f**2 + 5*f. What is c in q(c) = 0?
2/9, 1
Suppose -2*r = r - 6. Suppose 8 + 7 = 5*p. What is j in p*j**3 - 2*j**3 + j**3 - r*j = 0?
-1, 0, 1
Let k(n) be the third derivative of n**8/1848 - 2*n**7/1155 + n**5/165 - n**4/132 - 17*n**2. Factor k(b).
2*b*(b - 1)**3*(b + 1)/11
Let h(o) = 28*o**4 + 24*o**3 - 10*o**2 - 14*o - 8. Let t(d) = d + 6*d**4 - 4*d**4 - d**4. Let j(u) = h(u) - 10*t(u). Factor j(z).
2*(z - 1)*(z + 1)*(3*z + 2)**2
Suppose 3*v + 16 = -v - 4*f, 5*f + 28 = 3*v. Let c(h) = 2*h - 6. Let o be c(4). Factor a**2 + v + 2 - o*a - 2.
(a - 1)**2
Let o be (-46)/(-18) - (-6)/(-54). Suppose 0 - 8/3*y**2 + 8/3*y**4 - 14/9*y**5 + o*y**3 - 8/9*y = 0. What is y?
-1, -2/7, 0, 1, 2
Let n(i) = 31*i**3 - 180*i**2 + 529*i - 551. Let f(r) = 6*r**3 - 36*r**2 + 106*r - 110. Let q(k) = -11*f(k) + 2*n(k). Let q(m) = 0. What is m?
3
Let m = 517 + -54284/105. Let r(h) be the third derivative of 0*h**5 + 0*h**3 - m*h**7 + 0*h**6 - 2*h**2 + 0*h + 0*h**4 - 1/168*h**8 + 0. Solve r(x) = 0 for x.
-1, 0
Let t = -1 - -1. Suppose -3*f + i + 10 = t, i = -0*f - 2*f + 5. Factor -15*n**4 - 21*n**2 + 10*n**f - 8*n - 3*n**5 + n - 37*n**3 + n.
-3*n*(n + 1)**3*(n + 2)
Factor 29*q - 3*q**2 + 0*q**2 - 30*q + 13*q - 12.
-3*(q - 2)**2
Let o = 8/19 - 29/114. Let n(z) be the second derivative of -7/48*z**4 + 1/2*z**2 + 4*z - o*z**3 + 0 + 1/40*z**6 + 1/20*z**5. Solve n(i) = 0.
-2, -1, 2/3, 1
Let m(a) be the second derivative of 0 - 2/21*a**4 + 4/35*a**5 + 1/147*a**7 + 0*a**2 - 1/21*a**6 + a + 0*a**3. Determine d, given that m(d) = 0.
0, 1, 2
Suppose -1 = 4*z - 49. Let d be 3/z + (-11)/(-4). Find j, given that 0*j**5 - 3*j**4 - d*j**3 + j**3 - j**5 = 0.
-2, -1, 0
Let q(j) be the first derivative of -j**4/42 - 4*j**3/21 - 4*j**2/7 - 3*j + 2. Let m(n) be the first derivative of q(n). Factor m(t).
-2*(t + 2)**2/7
Let g be 14/30*(-22)/(-77). Let h(r) be the first derivative of 0*r + 0*r**2 - 2/25*r**5 + 1/5*r**4 - g*r**3 - 2. Factor h(m).
-2*m**2*(m - 1)**2/5
Factor -23 + 2*d**3 + 12 - 2*d + 9 + 2*d**2.
2*(d - 1)*(d + 1)**2
Let z(a) be the third derivative of a**8/1008 - a**7/210 + a**5/45 - 40*a**2. Factor z(o).
o**2*(o - 2)**2*(o + 1)/3
Factor -9*d**2 + 5*d**2 - 4*d**3 - 3*d + 23*d - 12.
-4*(d - 1)**2*(d + 3)
Let x(s) = 6*s**3 + 2*s**2. Let t(l) = -l**3 - l**2. Let m(b) = -15*t(b) - 3*x(b). Solve m(p) = 0 for p.
0, 3
Let d be 3*2/6 - -4. Let y(a) be the second derivative of 0 + 0*a**2 + 0*a**3 - 1/8*a**d + 2*a + 1/12*a**4. Find x, given that y(x) = 0.
0, 2/5
Let b = 244/7245 - 5/207. Let y(l) be the third derivative of 1/30*l**5 + 1/12*l**4 - 1/60*l**6 - b*l**7 + 0 + 0*l**3 + 0*l + 2*l**2. Factor y(d).
-2*d*(d - 1)*(d + 1)**2
What is f in 0*f + 8 + 8*f - 56*f**2 + 4*f = 0?
-2/7, 1/2
Let -4/15*a + 2/15*a**2 + 0 = 0. Calculate a.
0, 2
Let w(g) = 18*g**3 + 21*g - 26*g**2 - 3*g**4 - 12 - g**4 + g**4 - 28*g**2. Let r(t) = -t**2 - t. Let d(o) = -15*r(o) + w(o). Factor d(n).
-3*(n - 2)**2*(n - 1)**2
Let t = -3 + 6. Let h = -1 + t. Determine i so that -15*i - 2*i**2 - 10*i**3 - i**h + 16 - i**2 + 55*i = 0.
-2, -2/5, 2
Factor 6*p**2 + 8*p**2 - 8 - 18*p**2 + 2*p**2 + 8*p.
-2*(p - 2)**2
Let h be (-3)/10 + 6/12. Let t = 231/5 - 46. Determine l so that -h*l**2 + 2/5 + t*l = 0.
-1, 2
Let y(i) = i**3 + 5*i**2 + i - 6. Let v(g) = -g**3 - 6*g**2 + 5. Let u(m) = 2*v(m) + 3*y(m). Let n(w) be the first derivative of u(w). Factor n(a).
3*(a + 1)**2
Let c be ((-262)/50 + 5)/((-2)/5). Factor 3/5*w**4 - 3/5*w**2 + 3/5*w + 0 - c*w**3.
3*w*(w - 1)**2*(w + 1)/5
Let t(c) be the first derivative of -2*c**3/3 + 6*c**2 + 14*c + 24. Factor t(n).
-2*(n - 7)*(n + 1)
Let q = 432/5 - 86. Let o be -2*1 - (-8 - -4). Suppose 2/5*h - 4/5 + q*h**o = 0. What is h?
-2, 1
Factor 0 - 4/5*v + 2/5*v**2.
2*v*(v - 2)/5
Suppose 0 = 2*i + 5*o + 7, 0 = 2*i - 4*i - 3*o - 1. Factor 3*y - i*y**4 + 8*y**4 - y**2 - 2*y - 4*y**3.
y*(y - 1)*(2*y - 1)*(2*y + 1)
Let h(w) = -w**5 - 2*w**4 + 4*w**3 + 6*w**2 - 3*w. Let a(v) = 8*v**5 + 15*v**4 - 31*v**3 - 49*v**2 + 23*v. Let d(z) = -6*a(z) - 51*h(z). Factor d(q).
3*q*(q - 1)**2*(q + 1)*(q + 5)
Let a(r) be the third derivative of r**7/525 - r**6/60 + r**5/75 + 2*r**4/15 - 5*r**2. Factor a(t).
2*t*(t - 4)*(t - 2)*(t + 1)/5
Let z(h) be the first derivative of 1/3*h**3 - 1/6*h**4 + 3*h - 3 + 0*h**2. Let y(l) be the first derivative of z(l). Solve y(a) = 0.
0, 1
Let y be 10/2 + 1*-2. Solve 11*d**2 + y*d**2 + d**4 - 12*d + 4 - d**2 + 4*d**3 - 10*d**3 = 0.
1, 2
Let k = -1 - -2. Let l = 1 - k. Solve l + 4/3*g - g**3 - 8/3*g**2 + 3*g**4 = 0 for g.
-1, 0, 2/3
Find p, given that -1/6*p**2 - 6 + 2*p = 0.
6
Let b(g) be the third derivative of 0 - 1/480*g**6 + 1/240*g**5 + 0*g + 0*g**3 - 1/840*g**7 + 1/96*g**4 + g**2. Solve b(l) = 0.
-1, 0, 1
Find t, given that -t**5 + 44*t**4 + 26*t + 4 + 11*t**5 + 0 + 76*t**3 + 64*t**2 = 0.
-1, -2/5
Determine l so that -6*l - 2*l**3 - 5*l + 0*l - l - 10*l**2 = 0.
-3, -2, 0
Let i(k) be the second derivative of -k**8/1680 + k**6/360 + k**3/3 - 3*k. Let u(y) be the second derivative of i(y). Find l, given that u(l) = 0.
-1, 0, 1
Suppose 0 = -35*t - 19*t + 12*t. What is k in 2/3*k**4 + 1/3*k**2 + t*k + k**3 + 0 = 0?
-1, -1/2, 0
Let i(n) be the third derivative of n**6/1440 - n**5/48