What is g?
-1, 0
Let o be 40/18 - 4/18. Let l(x) be the second derivative of 0*x**o - 5/6*x**4 + 7/10*x**5 + 2*x + 1/3*x**3 + 0 - 1/5*x**6. Determine h, given that l(h) = 0.
0, 1/3, 1
Let b(v) be the second derivative of -v**7/14 - 7*v**3/6 - 7*v**2/2 + v. Let x(p) = -2*p**5 - 5*p - 5. Let q(k) = -5*b(k) + 7*x(k). Factor q(n).
n**5
Let n(i) = -2*i**5 - 2*i**4 + 12*i**3 + 4*i**2 - 6*i - 2. Let r(x) = 2*x**5 + 3*x**4 - 12*x**3 - 4*x**2 + 5*x + 1. Let j(m) = 5*n(m) + 4*r(m). Factor j(a).
-2*(a - 3)*(a - 1)*(a + 1)**3
Factor -3/7*p**2 + 3/7 + 0*p.
-3*(p - 1)*(p + 1)/7
Let q(i) be the third derivative of -i**6/135 + i**5/54 + i**4/54 - i**3/9 + 39*i**2. Factor q(a).
-2*(a - 1)**2*(4*a + 3)/9
Find s such that -3*s**5 - 300 + 2*s**3 + 301 + 4*s**3 - 3*s + s**4 - 2*s**2 = 0.
-1, 1/3, 1
Let l(u) be the second derivative of 49*u**4/15 - 56*u**3/15 + 8*u**2/5 + u. Find g such that l(g) = 0.
2/7
Solve 1/2*f**2 + 0 + 0*f - 1/2*f**3 = 0.
0, 1
Let q(x) be the first derivative of -2*x**3/3 + 2*x**2 + 6*x - 1. Suppose q(f) = 0. What is f?
-1, 3
Let d(c) = 2*c + 8. Let j be d(-8). Let u = 10 + j. Factor -2/9*o**u + 8/9*o - 8/9.
-2*(o - 2)**2/9
Let s(u) be the first derivative of u**5 + 33*u**4/16 + 5*u**3/4 + u**2/4 + 5. Solve s(a) = 0 for a.
-1, -2/5, -1/4, 0
Let v = 202799/1537 - 3758/29. Let f = -4/159 + v. Factor 2/3*t**2 + 0*t + f*t**4 + 0 - 3*t**3.
t**2*(t - 1)*(7*t - 2)/3
Let f = 720 + -3599/5. Factor -f*i**2 - 2/5*i + 3/5.
-(i - 1)*(i + 3)/5
Suppose 0 + 1/11*n**2 + 1/11*n - 1/11*n**4 - 1/11*n**3 = 0. Calculate n.
-1, 0, 1
Let o(b) be the first derivative of -b**4/4 + 4*b**3/3 - 5*b**2/2 + 2*b + 9. Solve o(d) = 0.
1, 2
Let t(c) be the first derivative of c**4/18 - 4*c**3/9 + 4*c**2/3 - 16*c/9 - 5. Solve t(l) = 0.
2
Let v(s) = -7*s - 2. Let i be v(-2). Determine z, given that -15*z**3 + i*z**3 + z - z - z + 5*z**2 - 9*z**4 = 0.
-1, 0, 1/3
Let v(c) = -c**3 - 8*c**2 - 8*c + 1. Let k be v(-7). Let w be k/(-12)*(-3)/4. Find o such that 1/4*o**2 - w + 1/4*o = 0.
-2, 1
Let v(j) be the third derivative of -j**7/840 + j**5/120 - j**3/3 - j**2. Let l(r) be the first derivative of v(r). Find p, given that l(p) = 0.
-1, 0, 1
Let w(m) be the second derivative of -m**6/40 + m**5/4 - 3*m**4/8 - 9*m**3/2 - 5*m**2/2 + 3*m. Let k(z) be the first derivative of w(z). Factor k(o).
-3*(o - 3)**2*(o + 1)
Suppose -3*j + 0 + 3 = 0. Let y be (-15)/6*2*j. Let l(p) = -p**5 + p**4 + 1. Let s(q) = -7*q**5 + 7*q**4 + 5. Let t(i) = y*l(i) + s(i). Factor t(o).
-2*o**4*(o - 1)
Let c(t) = -2. Let m(j) = -j**2 + j + 6. Let u(s) = 4*c(s) + 2*m(s). Determine b, given that u(b) = 0.
-1, 2
Suppose 2*g**3 + 16/7 - 68/7*g + 38/7*g**2 = 0. Calculate g.
-4, 2/7, 1
Let p(l) = -l**2 + 3*l. Let v(g) = 2*g**2 - 7*g. Suppose -5*y - 4 = 36. Let q be (-11)/(-2) - (-4)/y. Let h(a) = q*p(a) + 2*v(a). Factor h(o).
-o*(o - 1)
Let q be 6/15 - (-26)/10. Suppose 0 = 5*f - 2*d - 12 + 4, -3*f + q*d + 12 = 0. Let -6/5*x**3 + 2/5*x**2 + 4/5*x**4 + 0*x + f = 0. Calculate x.
0, 1/2, 1
Let y(n) be the third derivative of -n**5/20 + n**4/8 - 32*n**2. Determine w, given that y(w) = 0.
0, 1
Let d(m) = 8*m**4 - 11*m**3 + 3*m**2. Let g(c) = -4*c**4 + 5*c**3 - c**2. Let t(z) = -6*d(z) - 15*g(z). Let t(v) = 0. What is v?
-1/4, 0, 1
Let q = -2 - -2. Suppose q = -j + 2*j. Suppose j + 2/3*s - 5/3*s**4 - s**5 + 5/3*s**2 + 1/3*s**3 = 0. What is s?
-1, -2/3, 0, 1
Suppose -2*v - 2 = -o + v, -6 = -3*o + 4*v. Suppose -f + 2*f - o = 0. Suppose -2*i**4 + 2/3*i**5 + 2/3 - f*i + 4/3*i**3 + 4/3*i**2 = 0. Calculate i.
-1, 1
Suppose -1/5*r**2 - 64/5 - 16/5*r = 0. Calculate r.
-8
Let d = 48 + -44. Let p(s) be the third derivative of s**2 + 0*s**d - 1/24*s**3 + 1/240*s**5 + 0 + 0*s. Factor p(y).
(y - 1)*(y + 1)/4
Let v = -10 - -6. Let p be (1/v)/((-6)/8). Factor -1/3*b**2 + 0*b + 1/3*b**5 + 1/3*b**4 - p*b**3 + 0.
b**2*(b - 1)*(b + 1)**2/3
Let v(a) be the third derivative of 1/30*a**5 - 1/3*a**3 + 3*a**2 + 0 - 1/12*a**4 + 1/60*a**6 + 0*a. Suppose v(x) = 0. What is x?
-1, 1
Suppose -1 - 14 = -5*w. Determine r so that -5*r**4 - 3*r**3 - 3*r**4 + r**4 + r**w = 0.
-2/7, 0
Suppose -2*d + 2 = -d. Solve 6*c**3 - 4*c - 2*c**5 + 4*c + c**2 + d*c**4 - 3*c**2 - 4*c = 0.
-1, 0, 1, 2
Factor 8*m**2 + 2*m**2 + 2*m**3 - 4*m + 0*m**3 - 8*m**2.
2*m*(m - 1)*(m + 2)
Let v(r) be the second derivative of r**7/480 - r**6/2880 - r**5/240 + r**4/6 + r. Let j(h) be the third derivative of v(h). Factor j(u).
(3*u - 1)*(7*u + 2)/4
Let n(w) be the second derivative of -7*w**4/54 + 4*w**3/27 + w**2/3 + 22*w - 2. What is f in n(f) = 0?
-3/7, 1
Let r(z) be the third derivative of z**9/211680 + z**8/70560 - z**7/8820 + z**5/20 - 4*z**2. Let j(t) be the third derivative of r(t). Factor j(m).
2*m*(m - 1)*(m + 2)/7
Let f be 1/7*(1 - -10) - 1. Determine t, given that f*t - 2/7*t**2 - 2/7 = 0.
1
Suppose 0 = -12*f + 15*f. Let r(o) be the second derivative of -1/4*o**4 - 1/2*o**3 + o + f*o**2 + 0. Let r(q) = 0. What is q?
-1, 0
Let v(h) be the first derivative of -h**6/2 + 24*h**5/5 - 63*h**4/4 + 18*h**3 + 4. Suppose v(m) = 0. Calculate m.
0, 2, 3
What is z in 0 + 1/2*z**2 - 5/2*z = 0?
0, 5
Let y(v) = -v**4 - 2*v**3 + 3*v**2 - 3*v + 3. Let b(l) = -4*l**4 - 9*l**3 + 13*l**2 - 13*l + 13. Let r(g) = -6*b(g) + 26*y(g). Find t, given that r(t) = 0.
0, 1
Determine k so that 2/17*k**2 + 2/17*k - 12/17 = 0.
-3, 2
Suppose -3*t = 2*u - 7*u + 9, -u + 9 = 3*t. Let -t + 1 + i**2 + i**2 + 9 - 8*i = 0. What is i?
2
Let n(s) be the third derivative of 1/3*s**3 + 0 + 7/60*s**5 + 0*s + 4*s**2 + 3/8*s**4. Determine l, given that n(l) = 0.
-1, -2/7
Let s(a) be the second derivative of -a**4/54 + 4*a**3/27 - 4*a**2/9 - 3*a. Factor s(z).
-2*(z - 2)**2/9
Let m(o) be the third derivative of -o**8/23520 + o**7/2205 - o**6/630 + o**4/8 + 3*o**2. Let f(n) be the second derivative of m(n). Solve f(k) = 0.
0, 2
Factor -4/17*h - 2/17 - 2/17*h**2.
-2*(h + 1)**2/17
Let s(g) = -3*g + 27. Let i be s(9). Let a(y) be the first derivative of 2 + i*y + y**6 - 3/2*y**5 + 0*y**2 + 0*y**3 + 3/8*y**4. Factor a(h).
3*h**3*(h - 1)*(4*h - 1)/2
Let l(r) be the first derivative of r**6/1260 + r**5/140 + r**4/42 - r**3 - 3. Let g(u) be the third derivative of l(u). Suppose g(q) = 0. Calculate q.
-2, -1
Suppose 2 + 2 = u. Let v(j) be the second derivative of -2*j - 1/54*j**u - 1/9*j**2 + 2/27*j**3 + 0. Factor v(p).
-2*(p - 1)**2/9
Let y(s) be the second derivative of s**6/10 + 9*s**5/20 + 3*s**4/4 + s**3/2 - 8*s. Factor y(x).
3*x*(x + 1)**3
Suppose 4*j = 3*b - b + 8, 4*j - 12 = b. Factor 0*n**4 - 1 + 1 - n**4 + b*n**3 + 4*n - 6*n**2 - 1.
-(n - 1)**4
Let y(n) = n**2 + 8*n - 3. Let l be y(-9). Let s = -4 + l. Factor 3*m + 2*m**2 - 4*m**2 - s*m**3 + m.
-2*m*(m - 1)*(m + 2)
Let a be -2*(-1)/(-4)*0. Let o be 70/28*(-8)/(-10). Factor -2/3*w**o + a - 2*w**3 + 4/3*w.
-2*w*(w + 1)*(3*w - 2)/3
Let v(w) be the first derivative of -1 + 8/15*w**3 - 4/5*w + 7/5*w**2. Factor v(o).
2*(o + 2)*(4*o - 1)/5
Let w(g) = -g**2 - 1. Let t(r) = r**4 + 3*r**3 - 6*r**2 - 3*r - 9. Let a(k) = -4*t(k) + 28*w(k). Factor a(p).
-4*(p - 1)*(p + 1)**2*(p + 2)
Find x such that x - 1/3*x**3 - 2/3 + 0*x**2 = 0.
-2, 1
Let f(v) be the second derivative of 1/30*v**3 + 3*v + 0 - 1/10*v**2 + 1/60*v**4 - 1/100*v**5. Factor f(g).
-(g - 1)**2*(g + 1)/5
Let z(f) = -f**3 - 2*f**2 + 3*f + 2. Let a be z(-3). Suppose 2*d**2 - 5*d**3 - 2*d**4 - 3*d**a - 3*d**2 - d = 0. What is d?
-1, -1/2, 0
Suppose 0 = a + 2*a. Let b(z) be the third derivative of a - 1/480*z**6 + 2*z**2 + 0*z - 1/32*z**4 - 1/80*z**5 - 1/24*z**3. Suppose b(h) = 0. What is h?
-1
Let g(f) be the second derivative of f**6/120 - f**5/20 - f**4/48 + f**3/6 - 30*f. Factor g(x).
x*(x - 4)*(x - 1)*(x + 1)/4
Let i(m) be the third derivative of 1/3*m**3 + 1/120*m**5 - m**2 + 0 + 0*m + 1/12*m**4. What is d in i(d) = 0?
-2
Let a(y) be the second derivative of 0 + 1/3*y**3 + 0*y**2 - 1/12*y**4 - 3*y. Solve a(m) = 0.
0, 2
Suppose -3*i - 17 = -5*z, 0*i = 5*i - 5. Solve 0*g + 0 + 0*g**3 - 1/4*g**z + 1/4*g**2 = 0.
-1, 0, 1
Suppose -9 = -12*z + 9*z. Let w(s) be the first derivative of -1/2*s**2 + 1/3*s**3 + z + 0*s. Factor w(k).
k*(k - 1)
Let 11*z + 0*z - 3*z**3 - 7*z**2 - 8 - z + 8*z = 0. What is z?
-4, 2/3, 1
Let w(f) be the second derivative of -f**6/30 + f**5/20 + 2*f**4/3 - 2*f**3 - 35*f. Factor w(t).
-t*(t - 2)**2*(t + 3)