Factor 3/8*w**k + 0*w + 0.
3*w**2/8
Suppose 0*i + 8/3*i**3 - 4/3*i**2 - 4/3*i**4 + 0 = 0. Calculate i.
0, 1
Determine a so that 25*a**2 - 19*a**2 - 5*a**2 = 0.
0
Suppose -5*u - 182 - 948 = 0. Let q = -1351/6 - u. Suppose -7/6*w**4 - 1/3 + 3/2*w**2 - q*w + 5/6*w**3 = 0. What is w?
-1, -2/7, 1
Factor 3*i**3 - 3*i**3 - 3*i**2 + 2*i**3 + i**3.
3*i**2*(i - 1)
Let 2*o**2 + 3*o**2 + 20 + 24 + 40*o + 36 = 0. What is o?
-4
Let o be 2/6 - 38/6. Let b(q) = 14*q**3 - 11 - 48*q - 43*q**2 + q**3 - 8*q**3. Let w(j) = -j**3 + 7*j**2 + 8*j + 2. Let h(v) = o*b(v) - 39*w(v). Factor h(n).
-3*(n + 1)*(n + 2)**2
Let i(n) = n**3 + n**2 - n - 1. Let f = 0 - 9. Let a(p) = -4*p**3 - 5*p**2 + 4*p + 5. Let y(l) = f*i(l) - 2*a(l). Factor y(d).
-(d - 1)**2*(d + 1)
Let o(u) be the first derivative of -2/7*u**2 - 2*u + 1/42*u**4 - 2 - 1/21*u**3. Let l(h) be the first derivative of o(h). Find q such that l(q) = 0.
-1, 2
Let j = -45 + 47. Let t be j - 0/((-2)/(-1)). Determine p, given that -1/3 - 1/3*p**t + 2/3*p = 0.
1
Let c(t) be the first derivative of 3*t**5/5 + 5*t**4/4 + 2*t**3/3 - 5. Factor c(a).
a**2*(a + 1)*(3*a + 2)
Let u(i) be the first derivative of -2 + 3/20*i**4 - 4/5*i**3 - 6/5*i + 3/2*i**2. Factor u(z).
3*(z - 2)*(z - 1)**2/5
Let f(z) be the first derivative of z**4/4 - 3*z**3 + 27*z**2/2 + z + 1. Let q(o) be the first derivative of f(o). Factor q(n).
3*(n - 3)**2
Let m be ((1 + -1)/2)/2. Let k be 6 + m + 3/(-1). Factor -22*g**2 + k*g**3 + 28*g**2 + 3*g + 0 + 0.
3*g*(g + 1)**2
Let m be 0/((2/10*5)/(-1)). Let 0 + m*z**2 + 2/5*z**3 + 0*z + 2/5*z**4 = 0. What is z?
-1, 0
Let x(n) be the first derivative of n**4/2 - n**2 + 16. Factor x(u).
2*u*(u - 1)*(u + 1)
Let q be 12/(-24) - 49/(-6). Let v = q + -155/21. Factor 0*f + 0 + 0*f**3 - v*f**4 + 2/7*f**2.
-2*f**2*(f - 1)*(f + 1)/7
Let v(g) = -4*g**3 + g**2 + 21*g + 11. Let y(j) = -4*j**3 + 2*j**2 + 22*j + 10. Let m(s) = -6*v(s) + 5*y(s). Factor m(f).
4*(f - 2)*(f + 1)*(f + 2)
Let c be (-3)/(-2)*4/2. Let i be (-2)/5 - (-51)/15. Factor s + c*s**i + 0*s**3 - 4*s**3.
-s*(s - 1)*(s + 1)
Let p = -2055/14 + 513/7. Let v = p + 75. Solve v*r + 1/2*r**3 - 3/2*r**2 - 1/2 = 0 for r.
1
Suppose -2*t + 3 = -2*j + 7, -3*t + 2*j = 4. Let g be -1 - ((1 - 77) + t). Determine v, given that 16 - 72*v - 24*v**2 - g*v**4 - 1125/2*v**5 + 380*v**3 = 0.
-2/3, 2/5
Let q(l) be the third derivative of -1/12*l**4 + 0 + 1/10*l**5 + l**2 + 0*l - 2/9*l**3 + 1/18*l**6. Suppose q(v) = 0. Calculate v.
-1, -2/5, 1/2
Let t(o) = o**2 + 46*o + 48. Let q be t(-1). Determine s so that -2/9 + 2*s**2 + 8/3*s**4 - 2/3*s + 46/9*s**q = 0.
-1, -1/4, 1/3
Let n(p) = 27*p**3 + 14*p**2 - 20*p - 2. Let i(l) = l**2 - l - 1. Suppose 3*k - 5 = -20. Let c(w) = k*i(w) + n(w). Solve c(o) = 0.
-1, 1/3
Let v(g) be the first derivative of g**3/15 + g**2/10 - 7. Factor v(o).
o*(o + 1)/5
Let h(i) = -4*i**2 - 10*i - 4. Let k be h(-2). Factor k - 2/3*p + 3*p**2.
p*(9*p - 2)/3
Let w(g) = -19*g**4 - 11*g**3 + 59*g**2 + 75*g + 13. Let p(x) = 10*x**4 + 6*x**3 - 30*x**2 - 38*x - 6. Let n(y) = 11*p(y) + 6*w(y). Factor n(s).
-4*(s - 3)*(s + 1)**3
Let k(u) be the second derivative of -7*u**4/24 - u**3/6 - 4*u. Factor k(j).
-j*(7*j + 2)/2
Let k(j) be the first derivative of -2*j**6/3 + 16*j**5/5 - 4*j**4 - 13. Factor k(x).
-4*x**3*(x - 2)**2
Let d be -5 + (26/5 - -1). Find m, given that -2/5 + d*m + 8/5*m**2 = 0.
-1, 1/4
Let a = -8772 - -973700/111. Let x = 722/777 - a. Solve 3*s**3 - x*s + 9/7*s**4 + 0 - 9/7*s**2 - 15/7*s**5 = 0 for s.
-1, -2/5, 0, 1
Suppose -4/9 - 2/3*x - 2/9*x**2 = 0. Calculate x.
-2, -1
Let d = -3538/35 + 524/5. Determine k, given that -12/7*k**3 + d*k**4 + 0 - 12/7*k**5 + 4/7*k - 6/7*k**2 = 0.
-1/2, 0, 2/3, 1
Let p(d) be the third derivative of -d**7/35 - 3*d**6/40 + d**4/8 + 4*d**2. Solve p(c) = 0 for c.
-1, 0, 1/2
Suppose -5*g - 6 = -3*r, -2*r = r + 4*g - 6. Let p(x) be the first derivative of -9/8*x**4 + 0*x**5 - 1 + 1/4*x**6 - x**3 + 0*x + 0*x**r. Factor p(i).
3*i**2*(i - 2)*(i + 1)**2/2
Suppose 16 = 5*i - 2*j, i + 0*i + 4*j + 10 = 0. Determine c, given that -4*c + 5*c + 5*c + c**i + 2 + 7 = 0.
-3
Factor -o**2 - 60*o - 30*o - 405 - 4*o**2.
-5*(o + 9)**2
Let a(s) be the first derivative of 0*s**4 + 0*s**2 + 0*s - 1/18*s**3 + 1/30*s**5 + 2. Factor a(l).
l**2*(l - 1)*(l + 1)/6
Let l be 2/(-5) - (-17)/30. Let h(b) be the second derivative of 1/16*b**5 - l*b**3 + 1/120*b**6 + 1/8*b**4 + 0 + b - b**2. Determine g, given that h(g) = 0.
-2, 1
Suppose 2/3*t**3 - 16/3 + 8*t - 4*t**2 = 0. Calculate t.
2
Let j(z) = 21*z**4 + 27*z**3 - 45*z**2 - 132*z - 81. Let k(p) = 5*p**4 + 7*p**3 - 11*p**2 - 33*p - 20. Let f(g) = -2*j(g) + 9*k(g). Factor f(c).
3*(c - 2)*(c + 1)**2*(c + 3)
Let z = 11/205 + 6/41. Let -1/5*j**2 + 0 + z*j**3 - 2/5*j = 0. Calculate j.
-1, 0, 2
Let s = 9 + -5. Let n be (-4)/26 + 636/78. What is c in -1/2 - n*c**s - 12*c**3 + 3*c - 1/2*c**2 = 0?
-1, 1/4
Suppose -4*d + 5*d + 2*h = -3, -3*h = 5*d - 13. Let f(z) be the first derivative of z**4 + 2/5*z**d - 2*z + 1 - 2*z**2 + 0*z**3. Determine s so that f(s) = 0.
-1, 1
Let n(s) be the second derivative of -s**6/10 - 3*s**5/20 + 3*s**4/4 + s**3/2 - 3*s**2 - 5*s. Determine b so that n(b) = 0.
-2, -1, 1
Let i(r) be the first derivative of -r**3/9 - r**2/6 + 2*r/3 - 5. Factor i(m).
-(m - 1)*(m + 2)/3
Let d(m) = 7*m**2 + 31*m - 25. Let j(b) = -b**2 - 5*b + 4. Let c(q) = 6*d(q) + 39*j(q). Factor c(k).
3*(k - 2)*(k - 1)
Suppose 3*o = -0*o. Let -i + o + 1/2*i**2 = 0. What is i?
0, 2
Let j(l) be the first derivative of -l**7/840 - l**6/90 - l**5/24 - l**4/12 + 2*l**3/3 - 3. Let q(v) be the third derivative of j(v). Factor q(a).
-(a + 1)**2*(a + 2)
Let r be 2/((-1 - 2)/24). Let v be 3 - 7/((-42)/r). Let 0*z + 0*z**2 - z**4 + v*z**3 + 0 - 4/3*z**5 = 0. Calculate z.
-1, 0, 1/4
Let t = 901/6420 - 3/428. Factor -t + 4/15*o - 2/15*o**2.
-2*(o - 1)**2/15
Solve o**4 - 6*o**5 + 4*o**5 + 14*o**2 + 9*o**4 - 18*o**3 - 4*o = 0 for o.
0, 1, 2
Let t(v) = -5*v**3 - 22*v**2 - 26*v - 3. Let i(g) = -g + 27*g - g + 4 + 22*g**2 + 5*g**3. Let j(y) = 3*i(y) + 2*t(y). Determine x, given that j(x) = 0.
-3, -1, -2/5
Let w = 1683/8 - 209. Let y(x) be the first derivative of 1/2*x + 17/16*x**4 + 1/4*x**5 + 7/4*x**3 + w*x**2 - 2. Find k, given that y(k) = 0.
-1, -2/5
Let w(l) be the second derivative of 2*l + 1/6*l**3 + 0 + 0*l**2 + 1/720*l**6 - 1/240*l**5 + 0*l**4. Let i(k) be the second derivative of w(k). Factor i(x).
x*(x - 1)/2
Let x be (-12)/(-40) + -2*1/7. Let w(i) be the third derivative of 1/84*i**6 + 3*i**2 - x*i**5 + 0*i**3 + 0*i - 1/42*i**4 + 0. Suppose w(o) = 0. Calculate o.
-2/5, 0, 1
Factor 1/2*r**4 - 2*r + 2 + r**3 - 3/2*r**2.
(r - 1)**2*(r + 2)**2/2
Let t(a) be the second derivative of -a**8/33600 + a**7/4200 - a**6/1800 + a**4/6 + 4*a. Let x(j) be the third derivative of t(j). Factor x(v).
-v*(v - 2)*(v - 1)/5
Let f(p) be the second derivative of p**7/28 + p**6/10 - 3*p**5/40 - p**4/4 - 9*p. Solve f(z) = 0.
-2, -1, 0, 1
Let c(w) be the first derivative of -4*w + 3*w**2 + 4 - 1/2*w**4 + 0*w**3. Factor c(l).
-2*(l - 1)**2*(l + 2)
Let o be 2 - 0 - (8 + -6). Solve 1/3*h**2 - 1/3 + o*h = 0 for h.
-1, 1
Let k(m) = -4*m + 10*m**3 - 7*m**4 - 1 - 4*m + 2*m. Let t(p) = 20*p**4 - 29*p**3 + 18*p + 2. Let w(l) = 11*k(l) + 4*t(l). Determine y, given that w(y) = 0.
-1, 1
Let u(q) be the third derivative of -1/240*q**5 - 6*q**2 + 0*q**4 + 0*q + 1/480*q**6 + 0*q**3 + 0. Factor u(g).
g**2*(g - 1)/4
Suppose -2*c - 32 = 4*b, 5*b = b - 20. Let q = c - -10. Suppose 0*d**3 - d**3 + 3*d**2 - q*d**2 = 0. Calculate d.
-1, 0
Let i(n) be the first derivative of 0*n - 1/4*n**2 + 1/12*n**3 - 1. Determine x so that i(x) = 0.
0, 2
Let g(i) be the third derivative of i**6/120 + 3*i**5/4 + 225*i**4/8 + 1125*i**3/2 + 30*i**2. Solve g(u) = 0.
-15
Let x = 703/6 - 117. Let w(j) be the second derivative of 0 + j - 1/2*j**2 + x*j**3 - 1/48*j**4. Find y such that w(y) = 0.
2
Let b be -2*(-1)/((-15)/(-20)). Suppose z - 3*h + h = 14, -5*h = 15. Suppose -2/3*k**4 - b + 4*k**3 - 26/3*k**2 + z*k = 0. What is k?
1, 2
Let q = -391 - -393. Determine w, given that -4/5*w + 0 + 2/5*w**q = 0.
0, 2
Let i be (-12)/(-18) + 58/3. Let b = -11 + i. Factor p**2 - 2*p - 9 + b.
p*(p - 2)
Suppose 4 = b - 24. Let o be -4 + (-120)/b*-1. Factor -2/7*c**3 + 0 + 4/7*c + o*c**2.
-2*c*(c - 2)*(c + 1)/