3*l**3 + 8/3*l**4 - 4*l**2 + 4/3 + 4/3*l = 0. What is l?
-1, -1/2, 1
Suppose -12 = -10*t + 7*t. Let c be (-32)/60*(-10)/t. Solve 1/6*s**3 - 2/3 - 5/6*s**2 + c*s = 0.
1, 2
Let j be -2 - (2 + -3 - 2). Let s be j*(4 - 1) - 3. Factor -2*x + 4 + s*x**2 - 6*x**2 + 2*x**3 + 2*x**2.
2*(x - 2)*(x - 1)*(x + 1)
Factor -10/3*f**3 + 0 + 4*f**2 - 2/3*f**4 + 0*f.
-2*f**2*(f - 1)*(f + 6)/3
Let a(r) be the second derivative of -r**4/24 - r**3/4 - 6*r. Factor a(d).
-d*(d + 3)/2
Factor 0 + 1/4*r + 3/8*r**2.
r*(3*r + 2)/8
Let k(v) be the first derivative of v**5/15 - 5*v**4/12 + 2*v**3/3 + 26. Suppose k(m) = 0. What is m?
0, 2, 3
Suppose 2*i = -3*y + 23, 0*i - 4*i + 2*y + 6 = 0. Let 8/3*k + 8/3*k**3 - 2/3 - 2/3*k**i - 4*k**2 = 0. What is k?
1
Let d(r) be the second derivative of r**8/23520 + r**7/2205 + r**6/504 + r**5/210 - r**4/12 - 2*r. Let a(y) be the third derivative of d(y). Factor a(l).
2*(l + 1)**2*(l + 2)/7
Let f(g) be the first derivative of g**4/10 + 2*g**3/15 - 31. Factor f(j).
2*j**2*(j + 1)/5
Let l(q) = -q**2 - q**2 - 11*q**2 + 8*q**3 + 4*q**2 + 17. Let m(s) = -s**3 - 1. Let n(r) = -l(r) - 5*m(r). Factor n(h).
-3*(h - 2)**2*(h + 1)
Let u be (-23)/(-20) + (-115)/(-92). Factor -u*g - 18/5*g**2 + 3*g**3 - 3/5*g**4 + 24/5.
-3*(g - 2)**3*(g + 1)/5
Let p(s) be the third derivative of -s**6/45 - 7*s**5/45 - s**4/9 + 2*s**3/3 + 16*s**2. What is z in p(z) = 0?
-3, -1, 1/2
Solve -4/3*j - 1/3*j**5 + 5/3*j**3 + 0*j**4 + 0*j**2 + 0 = 0 for j.
-2, -1, 0, 1, 2
Let w(r) be the first derivative of -9/2*r**2 + 3/2*r**4 + 9/5*r**5 + 1/2*r**6 - 3*r - 3 - 2*r**3. Determine v so that w(v) = 0.
-1, 1
Let i(t) be the third derivative of 1/84*t**4 + 1/210*t**5 + 0*t - t**2 + 0 - 1/3*t**3 + 1/1260*t**6. Let r(y) be the first derivative of i(y). Factor r(o).
2*(o + 1)**2/7
What is p in 1/2*p + 1/2*p**3 - p**5 - 3/2*p**2 + 0 + 3/2*p**4 = 0?
-1, 0, 1/2, 1
Suppose 12 = c - l, -l + 7 = -4*c + 61. Let f = c + -9. Factor 10/9*w - 20/9*w**3 + 0*w**2 - 4/9 + 20/9*w**4 - 2/3*w**f.
-2*(w - 1)**4*(3*w + 2)/9
Let z(f) = f**3 + 7*f**2 + 7. Let r be z(-7). Let c be r + (0 + -2 - -3). Factor 1 - 5/2*q - c*q**2 - 9/2*q**3.
-(q + 1)**2*(9*q - 2)/2
Let u = -769/3 - -257. Factor u*l**4 - 8*l - 4*l**3 + 8/3 + 26/3*l**2.
2*(l - 2)**2*(l - 1)**2/3
Let d(o) be the third derivative of -1/504*o**8 + 0 - 1/4*o**4 + 0*o - 2*o**2 + 8/45*o**5 - 7/90*o**6 + 2/105*o**7 + 2/9*o**3. Determine z so that d(z) = 0.
1, 2
Let -p + 0 - 7/2*p**2 = 0. What is p?
-2/7, 0
Let y = -3/26 + 67/130. Let y*r**2 - 2/5*r - 4/5 = 0. Calculate r.
-1, 2
Factor -100*a**2 - 351*a**3 - 20*a**2 - 224*a**4 - 19*a**4 - 18*a + 6*a.
-3*a*(a + 1)*(9*a + 2)**2
Let i(y) be the first derivative of y**6/18 + 2*y**5/15 - y**4/6 - 8*y**3/9 - 7*y**2/6 - 2*y/3 - 3. Suppose i(d) = 0. Calculate d.
-1, 2
Let v be -1 + -1 + 0 + 14. Let k be (-1 - 0)/((-3)/v). Factor -2*l**3 + l**5 - 3*l**5 + 4*l**3 + 2*l**k - l**2 - l**2.
-2*l**2*(l - 1)**2*(l + 1)
Let l(o) be the first derivative of o**3/3 + 2*o**2 + 2*o + 1. Let u be l(-4). Factor -j**2 + 18 + 10*j + 3*j**u + 2*j.
2*(j + 3)**2
Let c = 101/125 + -1/125. Factor -4/5*m - 2/5*m**4 + 0*m**2 + c*m**3 + 2/5.
-2*(m - 1)**3*(m + 1)/5
Let u(a) be the first derivative of 0*a**2 - 2 - 1/15*a**6 + 1/10*a**4 - 2/15*a**3 + 0*a + 2/25*a**5. Factor u(z).
-2*z**2*(z - 1)**2*(z + 1)/5
Factor -2*o**4 - 14*o + 0*o**5 + 13*o + o**5 + 2*o**2.
o*(o - 1)**3*(o + 1)
Let x(o) = 9*o**2 - 4*o - 4. Let d(c) = 8*c**2 - 3*c - 3. Let p(u) = 2 + u - 2. Let f be p(3). Let r(j) = f*d(j) - 2*x(j). Factor r(l).
(2*l - 1)*(3*l + 1)
Suppose 0*w = 4*w + 2*j - 8, 0 = -4*j. Let b(l) be the second derivative of 0*l**w + 3*l + 1/100*l**5 + 0 + 0*l**3 + 1/60*l**4. Determine t so that b(t) = 0.
-1, 0
Suppose z - 8 = -4*c, 0*z + 6 = 3*c + 2*z. Factor 12*a**4 - 10*a**4 + c*a**2 + 0*a**2 + 2*a - 4*a**2 - 2*a**3.
2*a*(a - 1)**2*(a + 1)
Suppose 4*g = 5*x - 2, 0 = -2*g - 3*g - 2*x + 14. Suppose -2*d + d = -g. Determine h so that 2*h**d + 13 - 13 = 0.
0
Let p = -2 + 2. Let o = 6 + -2. Let -o*l + l - l**2 + p*l - 2 = 0. What is l?
-2, -1
Solve 0 - 27/4*n**3 - 1/2*n - 7/4*n**5 + 13/4*n**2 + 23/4*n**4 = 0 for n.
0, 2/7, 1
Let m(t) = 2*t**3 + t**2 + 2*t + 3. Let h(s) = -3*s**3 - s**2 - 2*s - 4. Let r(y) = 3*h(y) + 4*m(y). Solve r(z) = 0.
-1, 0, 2
Let r be (-12)/(-4) + (-4 - 1). Let b(n) = n**2 + n - 1. Let h(f) = 14*f**4 - 18*f**3 + 2*f**2 - 2*f + 2. Let q(y) = r*b(y) - h(y). Let q(g) = 0. What is g?
0, 2/7, 1
Let z(u) be the third derivative of 0*u - 1/9*u**3 + 0 + 1/360*u**6 + 1/60*u**5 + 3*u**2 - 1/72*u**4 - 1/630*u**7. Find c such that z(c) = 0.
-1, 1, 2
Let o = -34/3 - -961/84. Let y(p) be the third derivative of 2/105*p**5 + 0 + 2/21*p**3 - o*p**4 + 3*p**2 + 0*p. Find d such that y(d) = 0.
1/4, 2
Let m(c) = -3*c - 2 - 7*c + 18. Let f(p) = p**2 + p - 1. Let r(b) = -8*f(b) - m(b). Let l(x) = x**2 + 1. Let q(i) = 18*l(i) + 2*r(i). Factor q(u).
2*(u + 1)**2
Let g(c) = c**3 + 2*c**2 - 2*c - 1. Let i be g(-2). Suppose 0 = -3*a + 4*y + 2, a = 5*y - i. What is r in -r**3 - 4*r**2 + r**2 + r**a - r = 0?
-1, 0
Let d(l) = 12*l**4 + 4*l**3 - 12*l**2 - 4*l. Let r(w) = w**4 - w**2. Let m(t) = d(t) - 2*r(t). Suppose m(z) = 0. What is z?
-1, -2/5, 0, 1
Suppose 7*t + 2*y - 12 = 4*t, -y - 3 = -3*t. Factor -o**2 + 0*o**3 + t*o**5 - 2*o**2 - 2*o**3 + 5*o**2 - 2*o**4.
2*o**2*(o - 1)**2*(o + 1)
Suppose -4 = j, -3*j + 0*j = -3*b + 18. Solve 4*x**3 - x**3 - b*x**3 + 2*x**3 = 0.
0
Let q(x) = -x**2 - 7*x + 6. Let y be q(-8). Let w be (y/(-24)*4)/1. Factor -2/3*o**2 + 0 + w*o**3 + o**4 + 0*o.
o**2*(o + 1)*(3*o - 2)/3
Let s(d) be the third derivative of d**9/60480 + d**8/6720 + d**7/2520 + d**5/6 - 8*d**2. Let n(z) be the third derivative of s(z). Solve n(l) = 0.
-2, -1, 0
Solve 0 + 0*i**2 + 0*i**4 + 2/11*i - 4/11*i**3 + 2/11*i**5 = 0.
-1, 0, 1
Let s(b) = -b + 12. Let d be s(5). Factor 12*q**3 + d*q**2 - q**2 + 6 - 2*q**3 - 21*q - q**3.
3*(q - 1)*(q + 2)*(3*q - 1)
Let z be -3 + (29/6 - 6/(-36)). Suppose 3/4*v**3 + 0*v + 0 - 1/4*v**4 - 1/2*v**z = 0. What is v?
0, 1, 2
Let w(p) be the second derivative of p**6/120 + p**5/120 - p**4/12 + p**3/6 + 4*p. Let z(n) be the second derivative of w(n). Find r such that z(r) = 0.
-1, 2/3
Let n(a) be the first derivative of 0*a + 3 + 0*a**2 + 1/5*a**5 + 0*a**3 + 1/2*a**4. Factor n(r).
r**3*(r + 2)
Let x(d) be the third derivative of d**7/420 - d**6/80 + d**5/40 - d**4/48 + 6*d**2. Factor x(f).
f*(f - 1)**3/2
Let a(p) = -5*p + 13. Let b be a(9). Let n be -2*4/b + 0. Factor -1/4*t**2 - 1/4*t**5 - 1 + 5/4*t**3 - 2*t + n*t**4.
-(t - 2)**2*(t + 1)**3/4
Let o = -30 + 35. Let j(n) be the third derivative of -1/1050*n**7 + 1/120*n**4 + 0*n - 1/600*n**6 + 0*n**3 + 0 - 3*n**2 + 1/300*n**o. Solve j(v) = 0.
-1, 0, 1
Let s be (-2)/(-16) + 24/(-192). Factor -2/5*r**2 - 2/5*r + s.
-2*r*(r + 1)/5
Suppose 6*u**3 + 45 - 4*u**2 - 45 + 10*u**4 = 0. Calculate u.
-1, 0, 2/5
Factor -1/4*i**2 + 0 - 3/4*i.
-i*(i + 3)/4
Let b(p) be the second derivative of p**7/2520 - p**6/1080 + p**3/3 + p. Let c(u) be the second derivative of b(u). Solve c(t) = 0 for t.
0, 1
Let a be 8/3*(-3)/2. Let u(p) = p**5 - p**4 - p. Let c(s) = 5*s**4 + 4*s. Let z(h) = a*u(h) - c(h). Suppose z(t) = 0. What is t?
-1/4, 0
Let n = 1807/335 + 2/335. What is b in n*b**3 + 12/5*b**5 - 3/5*b**2 - 33/5*b**4 + 0 - 3/5*b = 0?
-1/4, 0, 1
Let d = 49 - 45. Determine o so that -1/6*o + 1/6*o**3 + 1/6*o**d + 0 - 1/6*o**2 = 0.
-1, 0, 1
Let w(l) be the third derivative of 1/320*l**6 - 1/560*l**7 + 0*l - 1/896*l**8 + 0*l**4 + 1/160*l**5 + 10*l**2 + 0 + 0*l**3. Factor w(j).
-3*j**2*(j - 1)*(j + 1)**2/8
Let i(a) be the second derivative of 7*a**5/270 - 4*a**4/27 + 4*a**3/27 - a**2 - 2*a. Let s(m) be the first derivative of i(m). Factor s(j).
2*(j - 2)*(7*j - 2)/9
Let o be 35/4 + (-1)/(-4). What is z in z**2 + z**2 + 9*z - 1 - z**4 - o*z = 0?
-1, 1
Let j(a) be the second derivative of a**5/35 + a**4/6 - 5*a**3/21 - 4*a**2/7 + 11*a. Solve j(d) = 0.
-4, -1/2, 1
Let k be 6/(-4)*-6 - 5. Let i(o) be the first derivative of 3/2*o**2 - 1/6*o**6 - 3/5*o**5 - 1/2*o**k + o + 2/3*o**3 - 1. Suppose i(c) = 0. Calculate c.
-1, 1
Solve 2/11*x**4 + 0 - 2/11*x**2 + 0*x + 0*x**3 = 0 for x.
-1, 0, 1
Let k(i) be the second derivative of 0 + 0*i**2 - 2*i + 1/105*i**6 - 1/147*i**7 - 1/42*i**4 + 0*i**3 + 1/70*i**5. Factor k(a).