2*g, 2*g + 12 = -3*k + 4*k. Suppose i + 6 - k = 0. Factor -3/2*f - 9/4*f**i - 1/4.
-(3*f + 1)**2/4
Let y = 1987/4 - 495. Factor -7/4*u**4 - 1/2*u + 1/2*u**3 + y*u**2 + 0.
-u*(u - 1)*(u + 1)*(7*u - 2)/4
Let q(c) be the first derivative of -27*c**8/140 + 4*c**6/5 - 8*c**4/3 + 2*c**3 + 3. Let s(t) be the third derivative of q(t). Factor s(f).
-4*(3*f - 2)**2*(3*f + 2)**2
Let p(y) be the third derivative of -1/9*y**3 - 1/60*y**5 - y**2 + 0*y + 5/72*y**4 + 0. Factor p(j).
-(j - 1)*(3*j - 2)/3
Let i be 36/40 + (-9)/(-15). Factor -3/2*z**4 + 0*z**3 - 3/4*z + i*z**2 + 0 + 3/4*z**5.
3*z*(z - 1)**3*(z + 1)/4
Let v(z) be the second derivative of z**8/48 + 3*z**7/70 - z**6/24 - 3*z**5/20 - z**4/12 - z**2/2 - z. Let g(i) be the first derivative of v(i). Factor g(b).
b*(b - 1)*(b + 1)**2*(7*b + 2)
Suppose -442 = 3*l + 434. Let d = 2048/7 + l. Solve 8/7*q**2 - 10/7*q + d - 2/7*q**3 = 0.
1, 2
Let l be 2/(-10) - -38*(-8)/(-720). Factor -l*h**5 + 4/9*h**4 + 0*h**2 - 2/9*h**3 + 0 + 0*h.
-2*h**3*(h - 1)**2/9
Suppose 75 = v + 4*p, -4*v - v + p = -480. Suppose 6*n**2 + 9*n - 6 - v*n**4 - 12*n**3 + 3*n**5 + 95*n**4 = 0. What is n?
-2, -1, 1
Let u(s) be the second derivative of -s**6/165 - s**5/55 + 2*s**3/33 + s**2/11 - 5*s. Determine d, given that u(d) = 0.
-1, 1
Let u(w) = -w**5 + 16*w**4 - 17*w**3 + 11*w**2 - 3*w. Let v(j) = -16*j**4 + 16*j**3 - 12*j**2 + 4*j. Let l(y) = -4*u(y) - 3*v(y). Factor l(d).
4*d**2*(d - 2)*(d - 1)**2
Find x, given that -5*x**3 + 30*x**4 - 38*x**3 - 22*x - 7*x**5 + 13*x**2 + 18*x + 11*x**2 = 0.
0, 2/7, 1, 2
Let s be (-4 - 10/(-2)) + 1. Let i(b) = 3*b - 4. Let r be i(s). Let 1/6*p + 1/6*p**r - 1/6*p**3 - 1/6*p**4 + 0 = 0. Calculate p.
-1, 0, 1
Suppose 3*r = -q + 14, -3*q = 4*r + r - 26. Suppose -4*o - r*g + 12 = 0, -2*o + 0*g = -2*g - 2. Find f, given that 0 + 1/4*f**o - 1/4*f = 0.
0, 1
Let k(c) be the first derivative of -c**6/15 - c**5/25 + 2*c - 3. Let h(z) be the first derivative of k(z). What is l in h(l) = 0?
-2/5, 0
Let i = -52379/60 - -873. Let d(p) be the second derivative of -1/3*p**2 + 1/18*p**3 + 0 - i*p**5 + 1/18*p**4 - 2*p. What is v in d(v) = 0?
-1, 1, 2
Let l be ((-1)/18)/((-2)/6). Let r(u) be the first derivative of -3 - 1/2*u**2 + 1/2*u + l*u**3. Let r(w) = 0. Calculate w.
1
Let n = -34 - -37. What is a in -5/3*a**4 - 5/3*a - 10/3*a**n - 1/3 - 10/3*a**2 - 1/3*a**5 = 0?
-1
Let c(y) be the first derivative of -23/3*y**4 - 8/3*y - 4/3*y**2 - 1 - 4/9*y**6 + 46/15*y**5 + 70/9*y**3. Determine m so that c(m) = 0.
-1/4, 1, 2
Suppose -4*m - 3*m = -35. Let h(u) be the first derivative of -1/6*u**6 - 11/6*u**2 - 13/6*u**4 + 8/3*u**3 + 14/15*u**m + 2/3*u + 2. Factor h(g).
-(g - 1)**4*(3*g - 2)/3
Suppose h + 11 = 4. Let f = 8 + h. Factor f - b**4 + 2*b**2 - 2*b**4 + 2*b**3 + 2*b**2 - 2*b**5 - 2.
-(b - 1)*(b + 1)**3*(2*b - 1)
Let p(h) be the first derivative of -h**4/24 + h**2/4 + h/3 + 11. Factor p(n).
-(n - 2)*(n + 1)**2/6
Factor 195*p**2 + 35*p + 0*p**4 - 35*p**3 + p**4 - 190*p**2 - 6*p**4.
-5*p*(p - 1)*(p + 1)*(p + 7)
Let d be 5 + ((-6)/(-3) - -1). Factor y - d*y**2 + 3*y**4 - 6 - 3*y**3 + 14*y - y**2.
3*(y - 1)**3*(y + 2)
Let b(g) be the first derivative of -g**7/84 - g**6/15 - g**5/8 - g**4/12 + g + 3. Let v(m) be the first derivative of b(m). Find l such that v(l) = 0.
-2, -1, 0
Let a = 21/2 + -10. Solve -a - 1/2*t**2 - t = 0.
-1
Let p(w) be the first derivative of -1/3*w**6 + 7*w**2 + w**4 - 4/5*w**5 + 16/3*w**3 + 4*w - 3. Factor p(a).
-2*(a - 2)*(a + 1)**4
Factor 0 + 2/3*t**4 + 0*t + 0*t**3 + 0*t**2.
2*t**4/3
Let u(r) be the first derivative of -r**5/10 + r**4/6 + r**3/3 - r**2 + 6*r + 3. Let m(b) be the first derivative of u(b). Factor m(h).
-2*(h - 1)**2*(h + 1)
Let z(y) be the first derivative of 3*y**4/4 - 7*y**3 + 45*y**2/2 - 27*y - 2. Factor z(d).
3*(d - 3)**2*(d - 1)
Let m(g) = -6*g**5 - 8*g**4 + 6*g**3 + 12*g**2 + 4*g - 2. Let w(n) = n**5 + n**4 + n**2 + n - 1. Let h(x) = 2*m(x) - 4*w(x). Find k, given that h(k) = 0.
-1, -1/4, 0, 1
Factor -2/3*f**3 + 2/3*f + 4/3 - 4/3*f**2.
-2*(f - 1)*(f + 1)*(f + 2)/3
Let b(k) be the first derivative of k**5/210 - k**4/28 + 2*k**3/21 - 5*k**2/2 - 1. Let v(o) be the second derivative of b(o). Factor v(w).
2*(w - 2)*(w - 1)/7
Suppose 5 = 3*o + 2*o, -10 = 4*h + 2*o. Let v(l) = 2*l**2 + 4*l - 4. Let j(i) = 2*i**2 + 4*i - 3. Let s(r) = h*v(r) + 4*j(r). Factor s(k).
2*k*(k + 2)
Determine y so that 5*y**4 + 2*y**5 - 2*y**2 - 3*y**5 - y**4 - 5*y**3 + 4*y**2 = 0.
0, 1, 2
Let o(j) be the second derivative of j**8/6720 + j**7/840 + j**6/360 - j**4/12 + 4*j. Let f(m) be the third derivative of o(m). Factor f(y).
y*(y + 1)*(y + 2)
Let i = -61 - -61. Let w(u) be the second derivative of 1/6*u**4 + 1/20*u**5 - u**2 + i - 4*u - 1/6*u**3. Solve w(k) = 0 for k.
-2, -1, 1
Let j(k) be the first derivative of k**9/324 - 19*k**8/1680 + k**6/270 + k**3/3 + 4. Let o(z) be the third derivative of j(z). What is l in o(l) = 0?
-1/4, 0, 2/7, 2
Let i be (-2)/(-6) + (-195)/(-495). Find b, given that i + 14/11*b**2 - 32/11*b = 0.
2/7, 2
Suppose 3*g - 3*c = 0, 0*c - 3*c - 12 = 3*g. Let o(i) = i**2 + 2*i + 2. Let h be o(g). Suppose 5*m - 2*m - 2*m + 4*m**h - 3*m**2 = 0. Calculate m.
-1, 0
Solve 960/7*k + 212/7*k**3 - 816/7*k**2 + 256/7 - 18/7*k**4 = 0 for k.
-2/9, 4
Suppose 8*o = 3*o. Let b(m) be the first derivative of 1/7*m**2 + o*m - 1 + 2/21*m**3. Factor b(t).
2*t*(t + 1)/7
Factor -11*a**2 - 3*a + 3*a**2 + 4*a**5 + 8*a**4 - a.
4*a*(a - 1)*(a + 1)**3
Let i be 4/(-6)*27/(-6). Let z = 31 + -29. Factor 2*x - x**4 + x**i - z*x.
-x**3*(x - 1)
Suppose -4*q = q - 25. Factor 2/9*c**q - 8/9*c - 16/9 + 2/9*c**3 - 8/9*c**4 + 20/9*c**2.
2*(c - 2)**3*(c + 1)**2/9
Suppose -2*n + 12 = 2*n. Let d = n + 0. Solve -r**2 - r**3 - 2 - r + d*r**2 + 2*r**3 = 0.
-2, -1, 1
Let l(i) = -i**2 - 5*i - 4. Let g(h) = 5*h**2 - 3*h - 8. Let k(d) = d**2 + d. Let m(f) = -g(f) + 6*k(f). Let b(y) = 5*l(y) + 3*m(y). Factor b(a).
-2*(a - 2)*(a + 1)
Let c(r) be the second derivative of -r**5/15 - 2*r**4/9 - 2*r**3/9 + 3*r. Determine i so that c(i) = 0.
-1, 0
Let f(o) be the third derivative of -2*o**2 + 1/15*o**3 + 1/30*o**4 + 1/150*o**5 + 0*o + 0. Factor f(z).
2*(z + 1)**2/5
Let b = -7 - -11. Let 0 + 0*u - 2/11*u**b + 4/11*u**2 + 2/11*u**3 = 0. Calculate u.
-1, 0, 2
Let s = -5565 + 61295/11. Factor -32/11*g**4 - 2/11 + 20/11*g + s*g**3 - 6*g**2.
-2*(g - 1)**2*(4*g - 1)**2/11
Suppose -6*c**2 - 6*c + 9/2*c**3 + 0 + 3/2*c**5 + 6*c**4 = 0. What is c?
-2, -1, 0, 1
Let z be (-48)/32*(-16)/6. Let c be (-108)/(-26) + z/(-1). Factor -4/13*r**3 - 2/13*r**2 + 0 - c*r**4 + 0*r.
-2*r**2*(r + 1)**2/13
Let d(m) be the third derivative of -5*m**8/1344 - m**7/280 + m**6/240 - 3*m**2. Solve d(x) = 0 for x.
-1, 0, 2/5
Let f(y) be the second derivative of 2*y**7/21 + 6*y**6/25 - 2*y**5/25 - 2*y**4/3 - 2*y**3/5 + 2*y**2/5 - 46*y. Find q such that f(q) = 0.
-1, 1/5, 1
Suppose -n = -5*d + 2*d, 0 = 2*n - 2*d. Let t(s) = -s**2 + 7*s + 47. Let j be t(11). Find z, given that z**j + 1/2*z**2 + 1/2*z**4 + n*z + 0 = 0.
-1, 0
Let a(h) be the third derivative of h**6/1080 + h**5/180 + h**4/72 - h**3/2 + h**2. Let j(s) be the first derivative of a(s). Let j(p) = 0. What is p?
-1
Let w(p) be the third derivative of -p**8/504 - 2*p**7/315 + p**5/45 + p**4/36 - 5*p**2. Factor w(l).
-2*l*(l - 1)*(l + 1)**3/3
Let a be (-12)/(-9) + 8/12. Let y(f) be the first derivative of 0*f + 2/3*f**3 + 0*f**a - 2 - 2/5*f**5 + 0*f**4. Find x such that y(x) = 0.
-1, 0, 1
Suppose 0 = -3*f - f - 5*x + 26, 0 = -3*x + 6. Let g(h) be the second derivative of 0 + 0*h**2 + 1/36*h**f - 2*h + 1/18*h**3. Let g(d) = 0. Calculate d.
-1, 0
Suppose 8 = 6*k - 2*k. Factor -2*p**k - 2*p + 2*p**4 + 3*p + 2*p**3 - 3*p.
2*p*(p - 1)*(p + 1)**2
Let h = -12 - -12. Suppose -5*o = -2*y - 4*o + 6, 3*o + 6 = h. Determine g, given that 2/5*g**y - 2/5*g**4 + 0 - 2/5*g**3 + 2/5*g = 0.
-1, 0, 1
Let j be 2/6*3 + 2. Suppose -j*b + 6*b + 3*b + 1 - 4*b + b**2 = 0. Calculate b.
-1
Let m be ((-14)/35)/((-36)/15). Let m - 1/6*h**2 + 0*h = 0. Calculate h.
-1, 1
Let c = 10 + -19. Let u be (-14)/(-12)*c/(-42). Determine y so that -u*y**2 - 3/4*y - 1/2 = 0.
-2, -1
Suppose 0 = -7*b + 2*b - 225. Let p be ((-9)/b)/((-2)/(-4)). Let 2*z - 8/5*z**2 - 4/5 + p*z**3 = 0. Calculate z.
1, 2
Let i(c) = -7*c**3 + 18*c**2 + 3*c - 22. Let j(f) = -29*f**3 