 7 - 3/8*h**4. Find o, given that y(o) = 0.
-1, 0, 1
Let t(m) be the first derivative of -m**2/2 + 6*m + 1. Let s be t(3). Factor -2*n - 3*n**s + 4*n**2 + 2*n**3 - n**3.
-2*n*(n - 1)**2
Let n(v) = v**3 - 4*v**2 - 5*v + 4. Let k be n(5). Suppose 5*d + 0 = k*a - 5, 5*a = 25. Determine t so that 2/3*t**2 + 0 + 4/9*t - 2/9*t**4 + 0*t**d = 0.
-1, 0, 2
Suppose 2*x - 3*x - 6 = 0. Let p be 3/x*(-2)/4. Factor -1 - a - p*a**2.
-(a + 2)**2/4
Let d be -1 + ((-20)/12)/(-1). Factor -4/3*q - 2/3 - d*q**2.
-2*(q + 1)**2/3
Let y be -9 + (-90)/(-12) - (-35)/6. Let -2/3*u - 19/3*u**3 - u**5 - 11/3*u**2 + 0 - y*u**4 = 0. Calculate u.
-2, -1, -1/3, 0
Suppose -4 = j, -5*k + 175 = 4*j + 16. Let p be 10/k - 4/14. Factor 2/7*m**5 + 2/7*m + p*m**2 + 0 + 0*m**4 - 4/7*m**3.
2*m*(m - 1)**2*(m + 1)**2/7
Let l(x) be the third derivative of x**6/120 - x**5/12 + x**4/6 - 45*x**2. Factor l(b).
b*(b - 4)*(b - 1)
Let c(p) = 23*p**3 + 36*p**2 + 9*p - 4. Let b(n) = -24*n**3 - 36*n**2 - 9*n + 3. Let q(w) = -2*b(w) - 3*c(w). Solve q(j) = 0.
-1, 2/7
Let w(q) be the first derivative of -q**5/40 + q**4/12 - q**3/12 + 3*q + 3. Let f(c) be the first derivative of w(c). Factor f(k).
-k*(k - 1)**2/2
Let u(k) be the first derivative of -k**4/16 - k**3/2 - 9*k**2/8 - k + 12. Let u(a) = 0. What is a?
-4, -1
Let t be 0 - 2*(0 + -1). Suppose t*p - 7*p = 0. Factor 1/3*f**2 - 2/3*f + p.
f*(f - 2)/3
Determine t so that 14*t**3 + 6*t**2 + 10*t**4 + 10*t**5 - t**5 - 7*t**5 = 0.
-3, -1, 0
Let j = 5 + -2. Factor -2*i**3 + 5*i**4 + 6*i**5 - i - i**j - 2*i**5 - 5*i**2.
i*(i - 1)*(i + 1)**2*(4*i + 1)
Let y = -75 + 227/3. Find n, given that 0 - y*n**2 - 2/3*n = 0.
-1, 0
Let m be (8/(-4) - -4) + (-28)/42. Determine i, given that -m*i**2 + 0 - 8/3*i = 0.
-2, 0
Factor -6/7*l**2 + 4/7 - 2/7*l.
-2*(l + 1)*(3*l - 2)/7
Let y(r) = -r**3 - 4*r**2 - 3*r - 3. Let j(g) = -2*g**3 - 4*g**2 - 2*g - 2. Let v(q) = 3*j(q) - 2*y(q). Factor v(z).
-4*z**2*(z + 1)
Let f be 1*4*(-2)/(-4). Factor 0*w**3 - w**4 + 0 + 1/2*w**5 - 1/2*w + w**f.
w*(w - 1)**3*(w + 1)/2
Let b be 2/(-12)*2/(-50). Let n(a) be the third derivative of -1/525*a**7 + 0*a**3 + 1/300*a**6 + 0*a + 0 + 2*a**2 + b*a**5 - 1/60*a**4. Solve n(p) = 0 for p.
-1, 0, 1
Let f be 9 - 6/(-2)*1. Suppose 0 = 3*x - 7*x + f. Solve 0 + 0*g + 1/4*g**x + 1/4*g**2 = 0 for g.
-1, 0
Let f(z) be the second derivative of -3*z**7/14 - 7*z**6/10 + z**5/10 + 5*z**4/3 + 4*z**3/3 - 7*z. Determine p so that f(p) = 0.
-2, -2/3, 0, 1
Let j(i) be the second derivative of 1/27*i**3 + 2*i + 0*i**2 + 4/189*i**7 - 7/54*i**4 - 13/135*i**6 + 1/6*i**5 + 0. Factor j(m).
2*m*(m - 1)**3*(4*m - 1)/9
Let w(u) be the second derivative of -1/35*u**6 - 1/147*u**7 + 0 - 1/42*u**4 + 0*u**3 + 3*u + 0*u**2 - 3/70*u**5. Factor w(g).
-2*g**2*(g + 1)**3/7
Factor f**3 - 4*f**4 + 3*f**3 + 8 + 13*f**2 - f**2 + 15*f - 35*f.
-4*(f - 1)**3*(f + 2)
Let s(h) = h**2 + 10*h + 9. Let k be s(-9). Let x(c) be the third derivative of 0 - 1/72*c**4 + 0*c + k*c**3 - 1/180*c**5 - 2*c**2. Solve x(m) = 0.
-1, 0
Let -4/5*m**2 + 0 + 0*m + 2/5*m**3 = 0. What is m?
0, 2
Suppose -4*z**5 - 8 - 16*z**3 + 20*z + 18*z**2 - z**4 - 26*z**2 + 17*z**4 + 0 = 0. What is z?
-1, 1, 2
What is b in 2*b**3 - 4/3*b**2 + 0 - 4/3*b**4 + 1/3*b**5 + 1/3*b = 0?
0, 1
Let x(k) be the first derivative of k**3/3 - k**2 - 1. Let n be x(3). Determine s, given that -s**5 + n*s**2 + 0*s**2 - 2*s - 9*s**3 + 5*s**4 + 4*s**2 = 0.
0, 1, 2
Let v(j) be the third derivative of j**6/240 + j**5/60 - 2*j**2. Solve v(g) = 0.
-2, 0
Let w(d) be the third derivative of 3*d**8/112 - d**7/10 + 7*d**6/120 + 17*d**5/60 - 2*d**4/3 + 2*d**3/3 + 9*d**2. Find q such that w(q) = 0.
-1, 2/3, 1
Let w(n) = -5*n - 65. Let f be w(-13). Factor -3/2*u + f + 3/4*u**3 + 3/4*u**2.
3*u*(u - 1)*(u + 2)/4
Let z(t) be the second derivative of t**4/48 + t**3/6 + t**2/2 - t. Factor z(d).
(d + 2)**2/4
Suppose -11 = -3*u - 5. Let p(x) be the first derivative of 1/2*x**4 + x**2 + 4/3*x**3 + 0*x + u. Find h such that p(h) = 0.
-1, 0
Let f(h) be the first derivative of 1 - 2*h - 7/2*h**4 - 15/2*h**3 + 49/10*h**5 + 7*h**2. Let f(g) = 0. What is g?
-1, 2/7, 1
Let r(j) be the second derivative of 8*j**6/15 + j**5 + j**4/3 - 32*j. Factor r(n).
4*n**2*(n + 1)*(4*n + 1)
Suppose 5*w + 2*g - g - 25 = 0, -3*w + 17 = g. Suppose -5 = -3*u + w*b + 21, -2*u + 3*b = -19. Factor -2*a**2 - a - a + 7*a**u + 4*a.
a*(5*a + 2)
Let w(f) = f**2 + 9*f - 12. Let a be w(-11). Suppose 0 = 4*p - a*p. Factor p*g + 0 + 2/7*g**3 + 0*g**2.
2*g**3/7
Let f(t) be the second derivative of -4*t**6/45 - 7*t**5/90 + 7*t**4/54 + 2*t**3/27 - 43*t. Find p, given that f(p) = 0.
-1, -1/4, 0, 2/3
Let f(j) be the first derivative of j**6/600 - j**4/120 + 3*j**2 + 1. Let t(o) be the second derivative of f(o). Factor t(g).
g*(g - 1)*(g + 1)/5
Let b = -8 - -10. Find f, given that b - 2*f + 3*f + 4*f**2 + 2*f + 3*f = 0.
-1, -1/2
Let j(f) = f**2 + 8*f + 10. Let r be j(-7). Suppose -p = -m + 6, -3*m + 5*p = -27 + r. Factor a**3 + 2*a**3 - 4*a**m + 0*a**3 + a.
-a*(a - 1)*(a + 1)
Let h be (-1 + -3 + -3)*-1. Factor -6*i + 2*i**2 - 2 + 10*i - h*i**3 + 3*i.
-(i - 1)*(i + 1)*(7*i - 2)
Let 16/9*s - 8/3*s**2 + 0 - 2/3*s**5 - 34/9*s**4 - 20/3*s**3 = 0. Calculate s.
-2, 0, 1/3
Suppose 0 = 3*r - t - 4, 0 = r + 5*t - 0*t - 12. Let i be (r/(-4))/(1/(-8)). What is x in x - 2*x**2 + i*x**4 - x - 2*x**4 = 0?
-1, 0, 1
Suppose 3*y = -d + 2*d + 730, 2*y = 5*d + 478. Let u = y - 1216/5. Let -a**2 - u - 12/5*a = 0. Calculate a.
-2, -2/5
Find n such that -32/9*n**3 + 20*n**2 + 2/9*n**4 - 400/9*n + 250/9 = 0.
1, 5
Let g = 9 + -6. Suppose 0 = -g*h - h + 16. Find r, given that 2/3 - 4/3*r**2 - 2/3*r - 2/3*r**5 + 2/3*r**h + 4/3*r**3 = 0.
-1, 1
Let k = 35 + -32. Solve 0 + 0*y**4 + 0*y**2 + 2/5*y - 4/5*y**k + 2/5*y**5 = 0.
-1, 0, 1
Let u(z) be the first derivative of 3*z**5/5 - z**4 + z**3/3 - 1. Find m such that u(m) = 0.
0, 1/3, 1
Let u(h) be the first derivative of 1/9*h**2 + 2 + 0*h - 2/27*h**3. Factor u(k).
-2*k*(k - 1)/9
Let i = -211 + 423/2. Factor 0*m**4 + 0*m**2 - 1/2*m**5 + m**3 + 0 - i*m.
-m*(m - 1)**2*(m + 1)**2/2
Let n(i) = 8*i**3 + 8*i**2 - 24*i - 28. Let l(q) = -9*q**3 - 7*q**2 + 24*q + 27. Let j(x) = -4*l(x) - 5*n(x). Let j(h) = 0. What is h?
-4, -1, 2
Let n(v) be the first derivative of v**4/10 + 14*v**3/15 + 6*v**2/5 - 36. Solve n(z) = 0.
-6, -1, 0
Let u(s) be the first derivative of s**7/2520 - s**3/3 + 1. Let f(l) be the third derivative of u(l). Let f(x) = 0. Calculate x.
0
Let g(r) be the second derivative of -3*r**5/4 + 65*r**4/12 + 70*r**3/3 + 30*r**2 - 19*r. Factor g(n).
-5*(n - 6)*(n + 1)*(3*n + 2)
Factor 1/3*y + 0 - y**2 + 2/3*y**3.
y*(y - 1)*(2*y - 1)/3
Suppose 5*f + 2 - 20 = -a, 5*f = 5*a + 30. Suppose 19 - f*g**3 - 19 = 0. Calculate g.
0
Let z(k) = k**2 + 12*k - 10. Let u be z(-13). Factor -4*h**2 - h**3 + u*h**4 + 8*h**5 - 3*h**2 - 7*h**5 + 4.
(h - 1)**2*(h + 1)*(h + 2)**2
Let y(w) be the third derivative of -w**5/60 - w**4/24 + w**3/3 + 7*w**2. Determine i, given that y(i) = 0.
-2, 1
Let d(a) be the second derivative of a**5/60 - a**4/12 + a**3/6 - 5*a**2 - a. Let j(r) be the first derivative of d(r). Solve j(i) = 0.
1
Suppose 2 = -3*s + 8. Let q(k) be the third derivative of -1/24*k**4 + 0*k**3 + 0 - 2*k**s + 1/60*k**5 + 0*k. Factor q(h).
h*(h - 1)
Let j(c) be the third derivative of 5*c**8/448 - c**7/40 - 3*c**6/160 + 7*c**5/80 - c**4/16 - 8*c**2. Solve j(t) = 0 for t.
-1, 0, 2/5, 1
Let p(l) be the third derivative of l**6/24 - l**5/6 - 5*l**4/8 + 2*l**2. What is r in p(r) = 0?
-1, 0, 3
Let c(d) = d**3 + 10. Let z be c(0). Suppose -g + 3*r - 15 = 2*g, -z = -g - 2*r. Let 5*i - 14*i**2 + 2 + 8*i**4 - 5*i**3 + g + 4*i**4 = 0. What is i?
-1, -1/4, 2/3, 1
Let r(z) = z**2 + 8*z - 12. Let t be r(-7). Let o = t + 21. Factor -1/2*x**o + 1/2*x + 1.
-(x - 2)*(x + 1)/2
Let u(q) = q**3 + 7*q**2 - 8*q + 7. Let n be u(-8). Let a = 11 - n. Factor 4*s + 20*s**3 + 0*s - 2*s**4 + 3*s**a - 7*s**4 - 18*s**2.
-2*s*(s - 2)*(s - 1)*(3*s - 1)
Let x = -839 - -842. Solve -8/5*v - v**2 - 1/5*v**x - 4/5 = 0 for v.
-2, -1
Let m(b) be the third derivative of b**6/540 - b**5/135 + 26*b**2. Suppose m(t) = 0. What is t?
0, 2
Suppose -b - 78 = -2*b. Let j be -1*(b/21 + -4). Determine u, given that -j*u + 2/7*u**4 + 2/7*u**3 - 2/7*u**2 + 0 = 0.
-1, 0, 1
Find s such that 0*s - 1/2*s**4