5*k(t). Let l(p) = g(p) - 6*y(p). Solve l(u) = 0.
0, 1
Let s = -9 + 11. Let z be (-4*s)/(1 - 3). Factor -18/5*p**3 + 0 + 8/5*p**z - 2/5*p + 12/5*p**2.
2*p*(p - 1)**2*(4*p - 1)/5
Factor 0 + 0*f + 1/4*f**2.
f**2/4
Let j(t) be the third derivative of -t**7/1155 + 7*t**5/330 + t**4/22 + 14*t**2. Suppose j(b) = 0. Calculate b.
-2, -1, 0, 3
Let b(l) be the second derivative of -l**6/75 - 3*l**5/50 - l**4/10 - l**3/15 + l. Factor b(o).
-2*o*(o + 1)**3/5
Let -10*b**3 + 0*b**3 - 10*b**5 - 3*b**2 - 8*b**3 - 24*b**4 - b**2 = 0. Calculate b.
-1, -2/5, 0
Let i(t) be the first derivative of -2 + 1/5*t**3 + 0*t + 3/10*t**2. Let i(l) = 0. What is l?
-1, 0
Let t = -13 - -27/2. Find s such that -1/2 - 5/2*s**4 + 5*s**3 - 5*s**2 + 5/2*s + t*s**5 = 0.
1
Let v(y) = -y**2 + 23*y - 169. Let u(z) = -z**2 + 24*z - 169. Let t(x) = 3*u(x) - 2*v(x). Factor t(w).
-(w - 13)**2
Let w(s) be the third derivative of s**7/105 - s**5/30 - 5*s**2. Let w(z) = 0. Calculate z.
-1, 0, 1
Determine q, given that -33/5*q + 27/5*q**2 + 6/5 = 0.
2/9, 1
Let v(s) = -3*s**3 + 2*s + 2. Let m(d) = -d**3 + d + 1. Let h(j) = -6*m(j) + 3*v(j). Factor h(b).
-3*b**3
Factor 4 - w**3 - 3*w**2 + 7*w**2 - 7*w**2.
-(w - 1)*(w + 2)**2
Suppose 0 = r + 9 - 13. Let c = 23/38 + -2/19. Determine o, given that 0*o**2 + 1/2*o - o**3 + 0 + c*o**5 + 0*o**r = 0.
-1, 0, 1
Let p = 45 - 42. Suppose w = -4*w. Factor 2/7*j**2 + 2/7*j**p + w - 2/7*j**4 - 2/7*j.
-2*j*(j - 1)**2*(j + 1)/7
Let i = 726886/515025 + 1/14715. Let h = i - 21/25. Find o such that -2/7*o**2 + 6/7*o - h = 0.
1, 2
Suppose -15*y = 22 - 52. Factor 0 + 1/4*z**y - 3/4*z**3 + 1/2*z.
-z*(z - 1)*(3*z + 2)/4
Let o(a) be the first derivative of 1/105*a**6 + 0*a**2 + 1/42*a**4 - 2*a + 0*a**3 - 2 + 1/35*a**5. Let u(m) be the first derivative of o(m). Factor u(g).
2*g**2*(g + 1)**2/7
Let q(i) be the first derivative of 13/12*i**4 + 0*i**3 + 2*i + 2 - 2/3*i**2 - 7/12*i**5. Let c(v) be the first derivative of q(v). Factor c(s).
-(s - 1)*(5*s - 2)*(7*s + 2)/3
Let x(i) = i**2 - 6*i + 7. Let o be x(5). Factor m**2 + o*m + m - m + m**2.
2*m*(m + 1)
Suppose -77*y = -72*y. What is o in y*o - 8/9 - 2/9*o**3 + 2/3*o**2 = 0?
-1, 2
Let c = 0 - 0. Let d = c + 4. Determine h so that -h**2 - 2*h - h**2 - 4*h - d = 0.
-2, -1
Let y(c) be the third derivative of c**8/168 + c**7/315 + 6*c**2. Factor y(z).
2*z**4*(3*z + 1)/3
Let j(n) = 3*n**5 + n**4 + n**3 - n**2 - 2*n. Let s(i) = i**5 + i**3 - i. Let b(g) = -j(g) + 2*s(g). Factor b(r).
-r**2*(r - 1)*(r + 1)**2
Let a = -9 - -7. Let f be (-1)/a*(-2 + 2). Solve -2/5*c**3 + f + 0*c**4 + 2/5*c**5 + 0*c**2 + 0*c = 0.
-1, 0, 1
Let l be ((-188)/(-141))/((-5)/(-3) - 1). Suppose 9/7 + 12/7*q + 3/7*q**l = 0. Calculate q.
-3, -1
Let h(t) be the first derivative of t**6/9 - 22*t**5/15 + 23*t**4/3 - 20*t**3 + 27*t**2 - 18*t + 14. Factor h(l).
2*(l - 3)**3*(l - 1)**2/3
Let m(g) be the first derivative of 5/3*g**4 - 1 + 27/20*g**6 + 0*g**2 - 2*g + 1/3*g**3 + 117/40*g**5. Let j(p) be the first derivative of m(p). Factor j(n).
n*(n + 1)*(9*n + 2)**2/2
Suppose -6 = -5*m + 3*k + 4, -5*k = -5*m. Let i(a) = a**3 - 4*a**2 - 3*a - 2. Let t be i(m). Suppose -110*l**2 - 56*l + 0 - t + 12*l**2 = 0. Calculate l.
-2/7
Let b = 125 + -122. Let d(a) be the first derivative of 4*a + 2/3*a**b - 4 + 3*a**2. Solve d(t) = 0 for t.
-2, -1
Let -15*g**2 - 18*g - 17/6*g**3 + 36 - 1/6*g**4 = 0. Calculate g.
-6, 1
Suppose -2*s + 12 = -n - 4, -4*s + 40 = -4*n. Suppose -s*j + 20 = -2*j. Factor -4*l**4 + l**j - 2*l**3 + l + 4*l**4.
l*(l - 1)**2*(l + 1)**2
Let y = 20 + -14. Let d(a) be the third derivative of 1/120*a**y + 0*a - 1/210*a**7 + 0*a**5 + 0 + 0*a**3 + 0*a**4 + a**2. Factor d(r).
-r**3*(r - 1)
Let w = -90 - -181/2. Factor 0 + 0*v + w*v**3 - v**2.
v**2*(v - 2)/2
Let i be -3 - -34*(-3)/(-36). Let r = i - -5/12. Determine a, given that 3/4*a**4 + 1/4*a**2 + 0*a + r*a**5 + 0 + 3/4*a**3 = 0.
-1, 0
Let l(f) be the first derivative of -4*f**3/3 - 2*f**2 + 8*f - 2. Let l(c) = 0. Calculate c.
-2, 1
Let v(l) be the third derivative of 0*l + 0 + 1/15*l**5 - 2/3*l**3 - 7*l**2 + 0*l**4. Factor v(w).
4*(w - 1)*(w + 1)
Let k(h) be the second derivative of -h**4/4 + 5*h**3/2 - 6*h**2 + 2*h + 1. Factor k(z).
-3*(z - 4)*(z - 1)
Let z = -23 - -23. Let w(r) be the third derivative of -1/105*r**7 + 0*r + 1/30*r**5 + 0 + z*r**6 + 0*r**3 + 2*r**2 + 0*r**4. Let w(y) = 0. What is y?
-1, 0, 1
Let a be (-23)/(-5) - 6/2. Suppose -2/5*j**2 - 8/5 - a*j = 0. Calculate j.
-2
Let u = -159 + 163. Suppose 0 + 2/3*w**u + 4/3*w**3 - 2/3*w**2 - 4/3*w = 0. What is w?
-2, -1, 0, 1
Let b(c) be the first derivative of -c**4 - 3. Let b(d) = 0. Calculate d.
0
Let k = -56 + 60. Let s(h) be the second derivative of -1/80*h**5 + 1/12*h**3 - h + 0*h**2 + 0 - 1/48*h**k. Suppose s(u) = 0. Calculate u.
-2, 0, 1
Factor 939*l**5 - 1 - 940*l**5 + 3*l - 5*l**2 + 3*l**2 - 2*l**3 + 3*l**4.
-(l - 1)**4*(l + 1)
Suppose -z - 8 = 2*z - s, 2*z + 9 = -3*s. Let d be z*6/(-9) + 0. Let 0*x + 0*x + 0*x**2 + 2*x**d + 2*x**3 = 0. What is x?
-1, 0
Suppose 4 = 4*i - 8. Let y = -3 + i. Suppose 1/2*v**2 - v + y = 0. Calculate v.
0, 2
Suppose -3*t = -3*m + 2*t + 61, 2*m + 3*t = 28. Let w = 20 - m. Let o**w + o**2 + 1/2*o**5 - 3/2*o + 1/2 - 3/2*o**4 = 0. Calculate o.
-1, 1
Let d(x) be the first derivative of -1/2*x**2 + 0*x + 2 + 5/48*x**4 + 1/60*x**5 - 1/6*x**3 - 1/48*x**6. Let c(w) be the second derivative of d(w). Factor c(j).
-(j - 1)*(j + 1)*(5*j - 2)/2
Let l(y) be the second derivative of 5*y + 0*y**3 - 3/70*y**5 + 4/147*y**7 + 0*y**6 + 0*y**2 + 0 - 1/42*y**4. Determine d, given that l(d) = 0.
-1/2, 0, 1
Let p(v) be the third derivative of -v**6/900 - v**5/150 + v**3/3 - v**2. Let u(j) be the first derivative of p(j). Solve u(i) = 0 for i.
-2, 0
Let r(j) be the second derivative of -j**7/42 + j**6/30 + j**5/20 - j**4/12 + j. Determine d so that r(d) = 0.
-1, 0, 1
Let c(j) be the second derivative of j**5/30 - j**4/18 - 5*j**3/9 - j**2 - 3*j. Factor c(w).
2*(w - 3)*(w + 1)**2/3
Suppose 0*f = -f + 3*f. Let y(a) be the first derivative of -1 + 2/21*a**3 + 1/14*a**4 - 1/7*a**2 + f*a - 2/35*a**5. Factor y(m).
-2*m*(m - 1)**2*(m + 1)/7
Let n(v) = -3*v. Let i be n(4). Let b be 5/30 - (-2)/i. Factor -2/3*t**5 + 0*t**4 + 2/3*t**3 + b + 0*t + 0*t**2.
-2*t**3*(t - 1)*(t + 1)/3
Let i(s) = s**2 - 1. Let a(u) = -28*u**2 + 32*u - 40. Let n(k) = a(k) + 24*i(k). Suppose n(d) = 0. What is d?
4
Factor -t**4 + 3*t**3 + t**2 - 7*t**5 + 14*t**5 - 8*t**5 - 2*t.
-t*(t - 1)**2*(t + 1)*(t + 2)
Let x = 2/99 - -386/495. Suppose 0 + 4/5*m**2 + 2/5*m + 0*m**3 - x*m**4 - 2/5*m**5 = 0. What is m?
-1, 0, 1
Let b = 34 + -34. Determine a so that 1/3*a + b + 1/3*a**2 = 0.
-1, 0
Let r be 3 + 12/(-3) - -1. Let i(n) be the first derivative of 1/7*n**2 - 2/21*n**3 + 3 + r*n. Let i(t) = 0. Calculate t.
0, 1
Let p(g) = -g + 4. Let f be p(2). What is j in -6 - 12*j - 9/2*j**f = 0?
-2, -2/3
Let h(v) be the first derivative of 2/5*v - 5 + 0*v**3 + 3/10*v**2 - 1/20*v**4. Factor h(p).
-(p - 2)*(p + 1)**2/5
Let w(d) be the first derivative of -2*d**5/25 - d**4/5 + 2*d**2/5 + 2*d/5 + 7. Let w(v) = 0. Calculate v.
-1, 1
Let u(w) be the first derivative of 3*w**5/5 - 3*w**4 + 4*w**3 + 7. Solve u(x) = 0.
0, 2
Let w(r) = -r**4 - 21*r**3 - 147*r**2 - 343*r + 5. Let l(f) = f**4 + 21*f**3 + 147*f**2 + 343*f - 4. Let j(u) = 5*l(u) + 4*w(u). Factor j(n).
n*(n + 7)**3
Let n(z) = -z**3 - 3*z**2 + 2*z - 3. Let h be n(-4). Suppose -5 = -0*v - h*v. What is j in -j + 3*j**3 + 2 - 2 - 2*j**3 + j**2 - v = 0?
-1, 1
Factor -3/4*o**2 - 1/4 - 1/4*o**3 - 3/4*o.
-(o + 1)**3/4
Let l(p) be the first derivative of -2/9*p**2 - 3 + 0*p + 1/9*p**4 - 2/27*p**3 + 2/45*p**5. Let l(g) = 0. What is g?
-2, -1, 0, 1
Let i(y) be the first derivative of y**2/2 + y + 1. Let u(c) = -7*c**2 + 9*c + 1. Let g(q) = 3*i(q) + u(q). What is d in g(d) = 0?
-2/7, 2
Find s such that 1/3*s**3 + 4/3 - s**2 + 0*s = 0.
-1, 2
Factor -3/2*a**2 - 9/4*a + 0 - 1/4*a**3.
-a*(a + 3)**2/4
Let 2*j**2 + 7*j**3 + 2*j**3 + 0*j**3 + 7*j**4 = 0. What is j?
-1, -2/7, 0
Suppose k = -3*v + 8, -3*v + 5 + 5 = 2*k. Let l be 1*(v - 1)*2. Determine b so that 0 - b**2 - 4 + 3*b**l - 2*b = 0.
-1, 2
Let q(g) = g - 3. Let t be q(12). Find d such that -d**3 - 15*d + 7*d**2 - 3 + 3 + t = 0.
1, 3
Let k be 4/16*4 - (-2 - -1). Suppose -2*x**3 + 0 - x + 5/2*x*