*4 + 0*c - 1/3*c**3 + n*c**5 + 0. Factor h(w).
2*(w + 1)**3*(4*w - 1)
Let u be -1 - (4 + -3) - -3. Let z be 0*u/2 + 0. Solve 0 - 7/4*g**4 + z*g - 5/4*g**3 - 3/4*g**5 - 1/4*g**2 = 0 for g.
-1, -1/3, 0
Let b(u) be the second derivative of -u**7/5040 - u**4/4 - u. Let s(y) be the third derivative of b(y). Suppose s(j) = 0. What is j?
0
Let d(y) be the third derivative of -1/3*y**3 + 1/15*y**6 + 7/30*y**5 + 0 + 1/6*y**4 + 0*y - y**2. Determine g so that d(g) = 0.
-1, 1/4
Let p = 31 - 61/2. Let j(n) be the second derivative of 1/12*n**4 + p*n**3 + 0 - n + n**2. Let j(b) = 0. What is b?
-2, -1
Let a be (-2)/(-6)*565/(-5). Let x = 38 + a. Factor x*t**2 + 2/3*t - 1/3*t**3 + 0.
-t*(t - 2)*(t + 1)/3
Let d(w) = -4*w**4 + 8*w**3 - 12*w**2 + 8*w + 8. Let f(s) = -s**4 + s**3 - s**2 + s + 1. Let t(p) = d(p) - 8*f(p). Factor t(o).
4*o**2*(o - 1)*(o + 1)
Let n(y) be the first derivative of -y**4 - 8*y**3 - 24*y**2 - 32*y + 1. Factor n(s).
-4*(s + 2)**3
Let g(c) be the first derivative of c**4 - 8*c**3/3 - 11. Solve g(i) = 0 for i.
0, 2
Let r(h) = -36*h**5 - 39*h**4 - 90*h**3 - 39*h**2 + 6*h + 21. Let t(b) = 7*b**5 + 8*b**4 + 18*b**3 + 8*b**2 - b - 4. Let v(a) = -4*r(a) - 21*t(a). Factor v(x).
-3*x*(x + 1)**4
Suppose -d - 4*t = 11, -4*d - d + 5*t = -45. Let f(i) be the second derivative of 1/6*i**3 - 2*i + 0 + 0*i**2 + 1/40*i**d + 1/8*i**4. Find u such that f(u) = 0.
-2, -1, 0
Suppose 6*f = 2*f + 16. Suppose -j - 5*l + 22 = 0, -2*l + 12 = 2*j - 0*l. Factor -5*a**3 - 5*a**3 - 4*a**j - f*a**3.
-2*a**2*(7*a + 2)
Let z be -3 + 3 + -3 + 1. Let i(v) = -v**4 + 4*v**3 - 5*v - 1. Let o(b) = b**4 - 3*b**3 - b**2 + 5*b. Let k(w) = z*i(w) - 3*o(w). Let k(g) = 0. What is g?
-2, 1
Let u(z) be the first derivative of 3*z**5/5 - 3*z**4 + 6*z**3 - 6*z**2 + 3*z + 40. Factor u(v).
3*(v - 1)**4
Let -3/2*o - 1 - 1/2*o**2 = 0. What is o?
-2, -1
Let r(m) = -3*m**3 + 9*m**2 - 9*m. Let s = -24 - -26. Let v(p) = -3*p**3 + 10*p**2 - 10*p. Let k(c) = s*r(c) - 3*v(c). Solve k(n) = 0 for n.
0, 2
Let x(r) be the third derivative of r**6/720 - r**5/24 + 25*r**4/48 - 125*r**3/36 - 31*r**2. Factor x(s).
(s - 5)**3/6
Suppose 4*o = -3 + 7. Let h be o + 0 - 15/21. Find g such that -2/7*g**2 - 6/7*g**4 + h*g + 0 - 10/7*g**3 = 0.
-1, 0, 1/3
Let m = 147 - 144. Let a(r) be the first derivative of -1/3*r**2 + 46/15*r**5 + 4/3*r - 50/9*r**m - 19/6*r**4 + 4 + 20/9*r**6. Solve a(d) = 0.
-1, -2/5, 1/4, 1
Let z = 561 - 559. Determine c so that 10/17*c - 10/17*c**3 + 4/17 - 4/17*c**z = 0.
-1, -2/5, 1
Suppose 12*v**4 - 16*v**2 - 16*v + 4*v**4 + 4*v**5 + 28*v**3 - 9*v**5 - 7*v**5 = 0. Calculate v.
-1, -2/3, 0, 1, 2
Let o(q) be the first derivative of -2/3*q**3 + 0*q**2 + 0*q + 0*q**4 + 5 + 2/5*q**5. Factor o(v).
2*v**2*(v - 1)*(v + 1)
Let m(y) = -y**3 - y**2 - y - 2. Let b be m(-2). Let z be ((-6)/b)/((-6)/8). Factor 3*q**2 - 2*q**2 + 3*q + q - z + 6.
(q + 2)**2
Let s(m) be the second derivative of 0 - 3/8*m**2 + 1/4*m**3 - 1/16*m**4 - 3*m. Factor s(n).
-3*(n - 1)**2/4
Let t be (81/(-4))/(-2 + (3 - 4)). What is u in -9/4*u**2 - 27/4 + 1/4*u**3 + t*u = 0?
3
Let m(c) = -c**3 + 4*c**2 - c - 3. Let h = 3 + 0. Let s be m(h). Solve 0*w**3 - 4*w**s + 5*w**3 + w**2 = 0.
-1, 0
Find q such that 8/7*q + 2/7*q**2 + 8/7 = 0.
-2
Let m(y) be the second derivative of -4/15*y**6 - 13/4*y**4 + 2*y**2 + y + 17/10*y**5 + 0 + 2/3*y**3. Let m(f) = 0. Calculate f.
-1/4, 1/2, 2
Let x be 40/16*(-8)/(-10). Let y = 4 - x. Determine g so that g**y + 2*g**5 - 1/2 + 2*g - 1/2*g**4 - 4*g**3 = 0.
-1, 1/4, 1
Factor 0*a**2 + 6/7*a**4 + 0*a + 4/7*a**3 - 10/7*a**5 + 0.
-2*a**3*(a - 1)*(5*a + 2)/7
Let a be (-1)/3 - (-4)/12. Suppose -10*p + 6*p = a. Factor 0*i + p - 1/2*i**5 + 1/2*i**3 + 1/2*i**4 - 1/2*i**2.
-i**2*(i - 1)**2*(i + 1)/2
Let k(q) be the second derivative of q**6/105 - q**5/35 + 6*q. Find h such that k(h) = 0.
0, 2
Factor 2/5 + 0*b - 2/5*b**2.
-2*(b - 1)*(b + 1)/5
Let j(s) be the first derivative of s**3/18 - s**2/6 - 7. Factor j(i).
i*(i - 2)/6
Let c(o) = o**2 + 6*o + 5. Let p be c(-5). Let i(s) be the first derivative of 1/4*s**4 + 1/5*s**5 - 1/6*s**6 - 1/3*s**3 + 0*s**2 + p*s + 2. Factor i(q).
-q**2*(q - 1)**2*(q + 1)
Suppose 0 = -4*h - 16, -4*a + 20 = -2*h + h. Let u = 6 - a. Factor -d - 3*d**u - d + d**2.
-2*d*(d + 1)
Let c = -121 - -121. Let t(y) be the third derivative of c*y**4 - 1/2*y**3 + 1/20*y**5 + 0 + 3*y**2 + 0*y. Factor t(g).
3*(g - 1)*(g + 1)
Let w(c) be the first derivative of -c**5/60 + c**3/6 + c**2 + 2. Let n(s) be the second derivative of w(s). Factor n(f).
-(f - 1)*(f + 1)
Find c such that -6/13*c**2 - 8/13*c + 0 + 2/13*c**3 = 0.
-1, 0, 4
Let z(a) be the second derivative of 27*a**5/80 - 15*a**4/16 + 7*a**3/8 - 3*a**2/8 + 42*a. What is y in z(y) = 0?
1/3, 1
Let g(t) be the second derivative of t**6/135 - t**5/90 - t**4/54 + t**3/27 + 5*t. Solve g(m) = 0.
-1, 0, 1
Let i = -7 + 1. Let r(u) = -u - 4. Let s be r(i). Determine p so that -8/7*p + 2/7*p**s + 8/7 = 0.
2
Let i = -11 - -13. Let c(n) be the first derivative of i + 1/2*n**2 - 1/2*n - 1/6*n**3. Factor c(m).
-(m - 1)**2/2
Factor -2*f**2 + 2/3*f**3 - 2/3 + 2*f.
2*(f - 1)**3/3
Let n(l) = 3*l**4 + 18*l**3 + 10*l**2 - 72*l + 55. Let h(x) = -2*x**4 - 12*x**3 - 7*x**2 + 48*x - 37. Let u(z) = -7*h(z) - 5*n(z). Determine g so that u(g) = 0.
-4, 1
Let u be (-94)/276 + (-2)/(-12). Let w = 18/161 - u. What is v in 0*v + 0 - w*v**5 + 2/7*v**2 - 6/7*v**3 + 6/7*v**4 = 0?
0, 1
Suppose -2*l - l + 6 = 0. Suppose 3 - l = -y + 3*r, 4*y = -r + 9. Suppose -5*v**3 + 2*v**3 + v + 2*v**3 - 2*v**4 + y*v**2 = 0. Calculate v.
-1, -1/2, 0, 1
Suppose 3*o - 5*o = -4. Solve -6*n - 10*n**o + n + n + 2*n = 0.
-1/5, 0
Find u such that 1/5*u**5 - 3/5*u + 3/5*u**4 - 1/5 + 2/5*u**3 - 2/5*u**2 = 0.
-1, 1
Let y(l) = -17*l**4 + 33*l**3 - 12*l**2 - 7*l + 8. Let i(c) = 26*c**4 - 50*c**3 + 18*c**2 + 10*c - 12. Let p(q) = 5*i(q) + 8*y(q). Factor p(g).
-2*(g - 1)**3*(3*g + 2)
Let g be 0 - (-1 + 1 - 2). Suppose h - 2*h = -5. Find u, given that -3*u + 9*u + 2*u**3 - h*u**2 - u**2 - g = 0.
1
Suppose 0*k - k = -4*r + 38, 37 = 5*r + 4*k. Let c be 11/3 + (-6)/r. Factor 0 - 1/4*t**4 + 0*t + 1/4*t**2 - 1/4*t**5 + 1/4*t**c.
-t**2*(t - 1)*(t + 1)**2/4
Let t(z) be the third derivative of -z**7/210 + z**5/30 - z**3/6 - z**2. Factor t(p).
-(p - 1)**2*(p + 1)**2
Let n be ((-35)/7)/(-15) + 0. Find b such that n - 1/2*b**2 + 1/6*b**3 + 1/6*b**4 - 1/6*b = 0.
-2, -1, 1
Let g(v) be the first derivative of 4*v + 6 - 40/3*v**3 - 3*v**2. Factor g(u).
-2*(4*u - 1)*(5*u + 2)
Suppose 0 = -5*m - 3*w + 32, -3*w + 4 = -m - w. Suppose 9 = m*k - k. Factor o + o**4 + 0*o**2 - 3*o**3 + k*o**2 - 2*o.
o*(o - 1)**3
Let n(a) be the second derivative of a**7/420 + a**6/90 + a**3/2 - 2*a. Let t(w) be the second derivative of n(w). Factor t(k).
2*k**2*(k + 2)
Factor -11*n**3 + 83*n**5 - 6*n**4 - 44*n**5 - 6*n**2 - 40*n**5.
-n**2*(n + 1)*(n + 2)*(n + 3)
Let q(d) = -d**2. Let l(m) = 20*m**3 - 23*m**2 + 13*m - 2. Let c be 6/36 - (-19)/(-6). Let u(v) = c*l(v) - 15*q(v). Factor u(n).
-3*(2*n - 1)**2*(5*n - 2)
Let o(t) = t**2 + 6*t + 8. Let b be o(-4). Let h(z) be the second derivative of -1/3*z**3 + 1/4*z**4 + 2*z - 1/20*z**5 + 0*z**2 + b. Factor h(l).
-l*(l - 2)*(l - 1)
Determine u, given that -4/5*u**4 - 1/5*u**5 - 4/5*u**3 + 0*u**2 + 0*u + 0 = 0.
-2, 0
Let q(i) be the first derivative of -2/21*i**3 + 0*i - 1/7*i**2 - 1. Factor q(k).
-2*k*(k + 1)/7
Let f = -30 - -32. Let q(h) be the first derivative of 1/4*h**4 - f + 1/6*h**6 + 2/3*h**3 - h**2 + 1/2*h - 1/2*h**5. Factor q(i).
(i - 1)**3*(i + 1)*(2*i - 1)/2
Let o(q) be the first derivative of 0*q**2 + 0*q - 4 + 4/15*q**6 + 1/5*q**4 - 2/15*q**3 + 14/25*q**5. Factor o(u).
2*u**2*(u + 1)**2*(4*u - 1)/5
Let 0*z**2 + 5/6*z**4 - 1/3*z**3 + 0*z + 0 = 0. What is z?
0, 2/5
Let w be (-276)/(-598) + -1 + 1. Suppose 2/13*x**2 + 0 + w*x = 0. Calculate x.
-3, 0
Suppose q = 4*g + 4, 5*q - 2*q = 5*g + 12. Let d(r) be the second derivative of 0*r**2 + 0*r**3 - 2*r + 1/24*r**4 + g. Find t, given that d(t) = 0.
0
Let 4*j**5 - 57*j**4 + 7*j**2 + 144*j + 41*j**2 - 44*j**3 + 49*j**4 = 0. What is j?
-2, 0, 3
Let k(l) = 3*l**2 - 6. Let m(s) = s**3 + 4*s**2 - s - 6. Let j(f) = 2*k(f) - 3*m(f). Factor j(x).
-3*(x - 1)*(x + 1)*(x + 2)
Determine j, given that 32*j - 18 - 21*j**2 - 64*j - 37*j = 0.
-3, -2/7
Let r(v) = -