*l**2 - 4/5*l**v + 0*l + 0 = 0. What is l?
-1/2, 0
Let u be (2/3)/(4/12). Suppose -s + 6 = -4*v + 4, -4*s + u*v + 8 = 0. Factor -2*l**3 + 6*l + l**s - 6*l + l**4.
l**2*(l - 1)**2
Suppose 2*l = -5*k - 14, -5 = -0*l + 5*l + 5*k. Let a be ((-9)/6)/l*0. Suppose -6*h**2 + 3 - 4 + a - 1 + 6*h + 2*h**3 = 0. What is h?
1
Let g(a) be the first derivative of -a**4/4 - 2*a**3/3 + 7*a**2/2 - 4*a - 8. Suppose g(y) = 0. What is y?
-4, 1
Let x be (-7 + (-162)/(-24))*(-3 - -2). Factor 0 + 0*c + x*c**2.
c**2/4
Let v(i) be the third derivative of -7*i**6/120 + 31*i**5/120 - i**4/12 - i**3/3 + 7*i**2. Factor v(u).
-(u - 2)*(2*u - 1)*(7*u + 2)/2
Let o be (4 - (-62)/(-14)) + 3/1. Let 2/7*h**3 + o*h**2 + 54/7 + 54/7*h = 0. Calculate h.
-3
Suppose 22/3*i**4 + 26/9*i - 38/9*i**2 - 38/9*i**3 - 4/9 + 4*i**5 = 0. Calculate i.
-2, -1, 1/3, 1/2
Let b(k) be the third derivative of -2*k**7/105 - k**6/10 - 2*k**5/15 - 28*k**2. Factor b(u).
-4*u**2*(u + 1)*(u + 2)
Let q(d) = 3*d**2 - 4*d - 4. Suppose -m + 7 = -k - 0, 12 = -4*k. Let b(g) = -g**2 + g + 1. Let c(s) = m*b(s) + q(s). Let c(v) = 0. What is v?
0
Let i be 2/(-7) + 248/672. Let c(q) be the first derivative of i*q**4 - 2 + 1/18*q**6 + 0*q + 0*q**3 + 0*q**2 + 2/15*q**5. What is j in c(j) = 0?
-1, 0
Let n(g) be the third derivative of g**7/10080 + g**6/1440 - g**4/6 + 5*g**2. Let p(s) be the second derivative of n(s). Solve p(u) = 0.
-2, 0
Let b(v) = -5*v**4 - v**3 + 3*v**2 + 5*v. Let w(l) = -26*l**4 - 4*l**3 + 15*l**2 + 26*l. Let z(o) = -11*b(o) + 2*w(o). Determine y, given that z(y) = 0.
-1, 0, 1
Let o(n) be the third derivative of n**7/735 - n**6/84 + n**5/70 + 5*n**4/84 - 4*n**3/21 + 4*n**2. Factor o(c).
2*(c - 4)*(c - 1)**2*(c + 1)/7
Let q = 3 + -1. Solve 6*j**q - 3*j**2 - j**2 + j**2 + 3*j**3 = 0.
-1, 0
Let x be (-4)/(-3)*6/4. Suppose x*d - d + o - 4 = 0, -3*o = 5*d - 16. Factor d*y + 0*y**3 + y**2 - y**3 - 4*y + 3*y - y**4.
-y*(y - 1)*(y + 1)**2
Let i(o) be the second derivative of 1/1440*o**6 + 0 + 1/2*o**3 + 1/96*o**4 - 1/240*o**5 + o + 0*o**2. Let f(g) be the second derivative of i(g). Factor f(r).
(r - 1)**2/4
Let t be 0*4/(-8) + (-9)/(-63). Find d, given that 2/7 + t*d**2 - 3/7*d = 0.
1, 2
Let r be 276/36 - (6 - -1). Let -1/3*c - 1/3*c**4 - 1/3 + 2/3*c**3 - 1/3*c**5 + r*c**2 = 0. Calculate c.
-1, 1
Solve -2*p**5 + 10*p**4 + p**3 - 18*p**3 - p**3 + 24*p**2 - 4*p - 10*p**2 = 0 for p.
0, 1, 2
Factor -10/9*j**2 + 0 + 4/9*j - 2/9*j**4 + 8/9*j**3.
-2*j*(j - 2)*(j - 1)**2/9
Let g(d) be the second derivative of -3*d**5/28 + d**4/14 + 5*d**3/14 - 3*d**2/7 - 13*d. Factor g(a).
-3*(a - 1)*(a + 1)*(5*a - 2)/7
Let h = -4/9 + 7/9. Let 1/3 + h*n**2 - 2/3*n = 0. What is n?
1
Let c(l) be the third derivative of -l**8/20160 - l**5/20 + 3*l**2. Let m(b) be the third derivative of c(b). Factor m(h).
-h**2
Let f(g) be the second derivative of g**8/84 - g**7/21 + g**6/20 + g**5/30 - g**4/12 - 3*g**2 + 5*g. Let l(r) be the first derivative of f(r). Factor l(v).
2*v*(v - 1)**3*(2*v + 1)
Suppose 2*w + 7 = -5. Let v(o) = -o**2 - 3*o - 2. Let h(x) = 5*x**2 + 16*x + 11. Let p(f) = w*h(f) - 33*v(f). Factor p(d).
3*d*(d + 1)
Factor 2/5*v - 2/5*v**3 + 0 - 2/5*v**2 + 2/5*v**4.
2*v*(v - 1)**2*(v + 1)/5
Let v(r) = 2*r**2 + 6*r. Let q(t) = t + 1. Let i(d) = -4*q(d) + v(d). Suppose i(w) = 0. What is w?
-2, 1
Let t(i) = -3*i + 2 - 9*i**2 + 3*i**3 + 16*i**2 - 9*i**2. Let l(a) = 4*a**3 - 2*a**2 - 4*a + 2. Let q(h) = -5*l(h) + 6*t(h). Find y such that q(y) = 0.
-1, 1
Let g = 3 + 0. Suppose 0 = 4*r - 6*z + 2*z, 0 = 5*z - 10. Let -a**r - 2 + 3 + 2*a**g - a**3 - a = 0. What is a?
-1, 1
Let u be (-2)/((-6)/(-15)) - 0. Let f be (u - -7)*(1 + 1). Let -2*n**2 + f*n**2 + 6*n**3 - 2*n - 6*n + 4*n = 0. Calculate n.
-1, 0, 2/3
Let f be 5*(103/(-35) + 3). Let 4/7*k - f*k**2 + 0 = 0. Calculate k.
0, 2
Let b(i) = 14*i**3 + i - 8*i**3 + i + 10*i**2. Let c(g) = g**4 + g**3 + g. Let j(p) = b(p) + 2*c(p). Factor j(u).
2*u*(u + 1)**2*(u + 2)
Let x be (-360)/32 + 3/(-4). Let f = -11 - x. Factor -11/2*s - 17/2*s**3 - f - 21/2*s**2 - 5/2*s**4.
-(s + 1)**3*(5*s + 2)/2
Factor -4/5 - r**2 - 12/5*r.
-(r + 2)*(5*r + 2)/5
Determine i so that 0*i - 2/7*i**2 + 0 = 0.
0
Let g(c) be the third derivative of c**7/42 - 3*c**5/4 + 5*c**4/6 + 10*c**3 + 27*c**2. Factor g(s).
5*(s - 2)**2*(s + 1)*(s + 3)
Suppose 0 = -249*k + 252*k. Find h, given that -2/3*h**2 + k + 2/3*h**4 + 0*h**3 + 0*h = 0.
-1, 0, 1
Let r(w) be the third derivative of -w**8/2800 - w**7/1400 + w**3/2 + w**2. Let t(b) be the first derivative of r(b). Suppose t(a) = 0. Calculate a.
-1, 0
Let u(j) = 19*j**2 + 4*j - 2. Let g be u(3). Let s = -902/5 + g. Factor 1/5 - s*m**2 - 2/5*m.
-(m + 1)*(3*m - 1)/5
Let j(r) be the first derivative of 0*r**2 + 7/120*r**5 + 1/12*r**4 + 0*r + 1/3*r**3 + 1/72*r**6 + 1. Let o(c) be the third derivative of j(c). Factor o(s).
(s + 1)*(5*s + 2)
Let q(i) be the second derivative of 1/39*i**4 + 0 - 1/130*i**5 - 4*i - 1/39*i**3 + 0*i**2. Suppose q(o) = 0. What is o?
0, 1
Let i(z) be the second derivative of -1/30*z**5 - 5*z + 1/6*z**4 - 2/9*z**3 + 0*z**2 + 0. Factor i(c).
-2*c*(c - 2)*(c - 1)/3
Let 3/7*a - 36/7*a**2 + 0 + 108/7*a**3 = 0. Calculate a.
0, 1/6
Suppose -v = -5*v + 52. Let n = v + -8. Solve -r**n + 4*r**2 - 2*r**4 - r**5 - 2*r**2 + 2*r**3 = 0.
-1, 0, 1
Let y be (-1)/(-2) - (-6)/4. Solve -3*q**2 - 3 - 3*q**3 + q**2 + 5*q**y + 3*q = 0 for q.
-1, 1
Let l(i) = i**2 + 6*i - 5. Let h be l(-5). Let o(g) = 2*g + 20. Let c be o(h). Factor 0*u - 2/9*u**2 + c + 2/9*u**3.
2*u**2*(u - 1)/9
Let h(x) be the second derivative of 9*x**5/70 - 17*x**4/28 + 9*x**3/14 + 3*x**2/7 + 13*x. Find g such that h(g) = 0.
-1/6, 1, 2
Let s(o) = 6*o**2 - 6*o. Let v(d) = 5*d**2 - 5*d - 1. Let r(g) = 3*s(g) - 4*v(g). Factor r(u).
-2*(u - 2)*(u + 1)
Suppose 1/6*l**2 + 1 + 7/6*l = 0. What is l?
-6, -1
Let s(m) be the third derivative of -m**7/2520 + m**6/240 - m**5/60 - m**4/24 + 3*m**2. Let d(h) be the second derivative of s(h). Let d(k) = 0. What is k?
1, 2
Factor -5*g**3 + 8*g**2 - 5*g**2 - 5*g**5 - 10*g**4 - 3*g**2.
-5*g**3*(g + 1)**2
Let t(a) be the second derivative of -a**7/189 + 4*a**6/135 - a**5/15 + 2*a**4/27 - a**3/27 + 9*a. Solve t(f) = 0.
0, 1
Let y(l) be the second derivative of -5*l**4/12 - 5*l**3/2 + 10*l**2 - 12*l. Determine q so that y(q) = 0.
-4, 1
Let d = 261 + -2869/11. What is v in 2/11 - d*v - 2/11*v**2 + 2/11*v**3 = 0?
-1, 1
Let n = -787/39 + 61/3. Suppose 0 + 2/13*i**3 - 2/13*i + 2/13*i**4 - n*i**2 = 0. What is i?
-1, 0, 1
Let m = 1165 + -479. Let o = 7554/11 - m. Suppose -2/11*k**2 - 8/11 + o*k = 0. What is k?
2
Let i(w) be the second derivative of -3*w**7/56 + 17*w**6/60 - 37*w**5/80 + w**4/6 + w**3/6 + 22*w. Solve i(n) = 0 for n.
-2/9, 0, 1, 2
Suppose -y + 4*x = -2*y + 12, 2*x = 2*y - 4. Suppose y - 2 + n**2 + n + 2*n = 0. What is n?
-2, -1
Factor 0 + 1/2*p**3 + 0*p + 1/4*p**2 + 1/4*p**4.
p**2*(p + 1)**2/4
Solve 0 - 2/19*t**2 - 4/19*t + 2/19*t**3 = 0.
-1, 0, 2
Let z = -33 + 33. Let l(p) be the third derivative of 0*p**5 + 0 + z*p**4 - 3*p**2 + 0*p + 0*p**3 + 1/945*p**7 + 1/540*p**6. Factor l(u).
2*u**3*(u + 1)/9
Let a(i) = i**2 + 4*i + 4. Let p be a(-4). Let c(j) = -j**2 + 3*j + 4. Let f be c(p). Factor f + 2/9*w**2 + 0*w.
2*w**2/9
Let a(q) be the third derivative of -q**6/24 - q**5/4 - 5*q**4/12 - 13*q**2. Factor a(h).
-5*h*(h + 1)*(h + 2)
Let y(z) be the third derivative of -z**7/70 - z**6/40 + z**5/20 + z**4/8 + 5*z**2. Factor y(n).
-3*n*(n - 1)*(n + 1)**2
Suppose 0 = 2*x + 6 + 2, -4*b + 4*x + 20 = 0. Let i(s) be the first derivative of 0*s**2 + 0*s + 1/12*s**3 - b. Suppose i(c) = 0. Calculate c.
0
Let t(n) be the second derivative of 0 - 2/5*n**2 + 6*n + 1/25*n**5 - 1/105*n**7 - 2/75*n**6 - 1/15*n**3 + 2/15*n**4. Suppose t(v) = 0. Calculate v.
-2, -1, 1
Let h(u) = -u - 4. Let c be h(0). Let z be ((-2)/(-4))/(c/(-16)). Factor -2 + z*q - 2*q - q + 3*q**2.
(q - 1)*(3*q + 2)
Let i(m) be the second derivative of 4*m**6/165 + m**5/22 + m**4/66 + 5*m. Find o such that i(o) = 0.
-1, -1/4, 0
Let a(z) be the third derivative of -z**8/70560 + z**5/20 - z**2. Let j(x) be the third derivative of a(x). Factor j(h).
-2*h**2/7
Solve 13*o + 10*o + 2*o**3 - 23*o + 2*o**2 = 0.
-1, 0
Factor o**3 - 3*o**4 - o**5 - 2*o**5 + 5*o**3.
-3*o**3*(o - 1)*(o + 2)
Let y be ((-1)/3)/(7/(-98)*7). Solve 1/3*b**2 - 