-1/4*h**a - 1/4*h**4 + 0*h + 0 - 1/2*h**3 = 0. Calculate h.
-1, 0
Let y(z) be the second derivative of 0*z**3 + 1/3*z**7 + 11/10*z**5 + 0*z**2 + 0 + 16/15*z**6 + 3*z + 1/3*z**4. Factor y(l).
2*l**2*(l + 1)**2*(7*l + 2)
Suppose -2*d = -0 + 8. Let p = d - -6. Solve 0 + 2/3*l**p - 2/3*l = 0 for l.
0, 1
Let k(v) = 2*v**5 + v**4 - 7*v**3 - 11*v**2 + 5*v + 4. Let j(t) = -2*t**5 + 8*t**3 + 12*t**2 - 6*t - 4. Let x(p) = 3*j(p) + 4*k(p). Find r such that x(r) = 0.
-2, -1, 1
Let f be -3*(-1)/1 + -1. Factor -6 - 24*x**2 - 6*x + 6 - 10*x - 12*x**3 - f*x**4.
-2*x*(x + 2)**3
Let t(z) = z**3 + z**2 + 1. Let f(c) = -7*c**3 + 4*c**2 - 9*c - 4. Let u(d) = f(d) + 6*t(d). Let y be u(9). Solve -6 - y*i**2 - i**2 - 7*i - 2*i = 0.
-2, -1
Determine g so that -2/3*g - 1/6*g**2 - 2/3 = 0.
-2
Let f(l) = l**4 - 2*l**3 - l**2 + 5*l - 3. Let h(w) = -w**4 + 2*w**3 + w**2 - 6*w + 4. Let c(j) = 4*f(j) + 3*h(j). Factor c(a).
a*(a - 2)*(a - 1)*(a + 1)
Let c be 3/(-6)*(20/12 - 3). Determine g, given that 0 + 0*g**3 - c*g**4 + 2/3*g**2 + 0*g = 0.
-1, 0, 1
Suppose -3*a = 5*b - 0*a + 14, -5*a = -10. Let v = -2 - b. Solve k**4 + 5*k**v - 5*k**2 - 3*k**2 + 2*k = 0.
-2, 0, 1
Let q(k) be the first derivative of -k**6/30 - k**5/5 - 5*k**4/12 - k**3/3 - k - 4. Let u(y) be the first derivative of q(y). Factor u(h).
-h*(h + 1)**2*(h + 2)
Let r be 7 + -3 + 1 + -1. Solve 7*i + 2 - 11*i + r*i**2 - 2*i**2 = 0 for i.
1
Let k(j) = -3*j**2 + 7*j. Let o(w) = -w**2 + w. Let t(x) = k(x) - 4*o(x). Let f be t(-3). Let 1/2*g**4 + 1/2*g**3 + 0 + 0*g**2 + f*g = 0. What is g?
-1, 0
Let a be (-35)/10*8/(-14). Factor d + 6*d**a - 4*d - 3*d**2.
3*d*(d - 1)
Let m(h) be the first derivative of h**4/22 - h**2/11 + 1. Factor m(n).
2*n*(n - 1)*(n + 1)/11
Suppose -7*b + 4*b = 0. Let v(k) be the second derivative of -k + 0*k**3 - 1/30*k**4 + 0*k**2 + b. Suppose v(u) = 0. Calculate u.
0
Let i(r) = -5*r**3 - 6*r**2 - r - 6. Let v(l) = -l**3 - l**2 - 1. Let w be 9/(-6) - 27/6. Let b(s) = w*v(s) + i(s). Find n such that b(n) = 0.
-1, 0, 1
Let u be 4/((-2)/(1 + 0)). Let h be (u/16 + 1)*2. Solve 1/2*n + 0 + 4*n**3 - 11/4*n**2 - h*n**4 = 0.
0, 2/7, 1
Let a(m) be the second derivative of 1/16*m**5 + 1/4*m**4 - m + 0 + 3/8*m**3 + 1/4*m**2. Factor a(h).
(h + 1)**2*(5*h + 2)/4
Let f(j) = j + 1. Let n be f(7). Let i be (n/(-6))/((-2)/6). Let 0 - 1/2*t**i + 0*t + t**3 - 1/2*t**2 = 0. What is t?
0, 1
Let l(h) be the third derivative of 0*h - 3*h**2 + 1/600*h**6 + 0*h**4 + 0*h**3 + 1/525*h**7 + 0*h**5 + 1/1680*h**8 + 0. Factor l(c).
c**3*(c + 1)**2/5
Suppose 14 + 74 = 4*p. Factor -p*d**5 + 25*d**5 + 6*d**2 + 0*d - 6*d**4 - 3*d.
3*d*(d - 1)**3*(d + 1)
Let p be (-1 + (-8)/(-5))/((-241)/(-1205)). Factor 3 - 9/4*m**2 - p*m.
-3*(m + 2)*(3*m - 2)/4
Let n(h) be the first derivative of 2*h**3/21 - 8*h**2/7 + 2*h + 45. Let n(c) = 0. Calculate c.
1, 7
Let s(c) = -c**3 + 13*c**2 + 14*c + 2. Let n be s(14). Suppose -1/2*t**4 + 0*t + 0 - 1/4*t**5 + 0*t**n - 1/4*t**3 = 0. What is t?
-1, 0
Let y be 0*5*3/15. Let x(m) be the first derivative of y*m**2 - 2/9*m**3 + 2/15*m**5 + 1/6*m**4 + 0*m - 1/9*m**6 + 3. Suppose x(h) = 0. Calculate h.
-1, 0, 1
Let f(x) be the second derivative of 0*x**2 + 1/15*x**4 - 2/15*x**3 + x + 0. Let f(u) = 0. Calculate u.
0, 1
Let z = 10 - 8. Factor 4*y - 2*y**2 + z*y**3 - 3 + 7*y**2 + 3 + 1.
(y + 1)**2*(2*y + 1)
Factor 2*t**3 + 0 - t - 7/2*t**2.
t*(t - 2)*(4*t + 1)/2
Let d be 3/(-4 + 11/2). Factor 0 + 2/7*x**d - 2/7*x.
2*x*(x - 1)/7
Let a(b) be the first derivative of -15*b**4/22 + 16*b**3/11 - 3*b**2/11 - 12*b/11 + 22. Let a(q) = 0. Calculate q.
-2/5, 1
Let l(f) be the third derivative of -1/12*f**4 - 1/210*f**7 + 3*f**2 + 0 + 0*f**5 + 0*f + 1/60*f**6 + 1/6*f**3. Let l(u) = 0. What is u?
-1, 1
Let k(d) = d + 1. Let x(y) = 2*y + 0*y**2 - 11*y + 2*y - y**2 - 5. Let g be (-2 + -2)/2 - -7. Let u(t) = g*k(t) + x(t). Factor u(s).
-s*(s + 2)
Suppose 2*m - 3*f + 11 = 0, -5*m = 63*f - 66*f + 5. Determine y so that 0 + 1/3*y - 1/3*y**m = 0.
0, 1
Let v(l) be the second derivative of 7*l**4/12 - 4*l**3/3 + 4*l**2 - 4*l. Let d(r) = -6*r**2 + 9*r - 9. Let a(c) = -4*d(c) - 3*v(c). Find f such that a(f) = 0.
2
Let x = -48 - -51. Let d(k) be the first derivative of -1/4*k - 1 + 1/12*k**x + 0*k**2. Let d(p) = 0. What is p?
-1, 1
Determine g so that 0*g + 4/3*g**3 + 0 - 4/3*g**2 = 0.
0, 1
Let g(m) = -4*m**3 + 8*m**2 + 7*m + 7. Let f(h) = h**2 + h + 1. Let l(o) = 14*f(o) - 2*g(o). Suppose l(d) = 0. What is d?
0, 1/4
Suppose 2*f + 0*f = 6. Suppose -f*w + 0 = -9. Determine s, given that 0 + 4/3*s**2 - 2/3*s**w - 2/3*s = 0.
0, 1
Suppose -3*i + 12 = 3. Factor -2*f - 3*f**3 + f**3 - f**5 - f**4 + 2*f**3 + i*f**3 + f**2.
-f*(f - 1)**2*(f + 1)*(f + 2)
Let n(u) be the first derivative of -u**4/22 - 2*u**3/33 + u**2/11 + 2*u/11 + 34. Factor n(f).
-2*(f - 1)*(f + 1)**2/11
Suppose -3*p = -7 + 1. Let r be (-2)/(-7) - 4/14. Factor r*t + 2/5*t**p - 2/5.
2*(t - 1)*(t + 1)/5
Let 81*m**5 - 568/3*m**2 - 16/3 + 261*m**4 + 176/3*m + 88*m**3 = 0. What is m?
-2, 2/9, 1/3
Find s, given that 0 - 1/2*s + 1/4*s**2 = 0.
0, 2
Let u(w) be the second derivative of -w**7/126 + w**6/45 + w**5/60 - w**4/18 + 36*w. Determine s so that u(s) = 0.
-1, 0, 1, 2
Let h(l) = -4*l**3 - 4*l**2 + 4*l - 4. Let o(r) = -r**4 + 9*r**3 + 9*r**2 - 9*r + 9. Let b(p) = 9*h(p) + 4*o(p). Determine q so that b(q) = 0.
0
Let w be (-1)/(-2) - 15/(-10). Factor w + 1 - 2*k - 5*k**2 - 4 + 4*k**2.
-(k + 1)**2
Factor 0 - 8/21*q + 0*q**2 + 2/21*q**3.
2*q*(q - 2)*(q + 2)/21
Let i(q) be the third derivative of 1/245*q**7 + 5*q**2 + 0*q + 1/140*q**6 + 0*q**3 + 0*q**4 + 1/210*q**5 + 0 + 1/1176*q**8. Factor i(d).
2*d**2*(d + 1)**3/7
Let q(z) be the third derivative of 3*z**7/280 - 7*z**6/160 + z**5/16 - z**4/32 + 2*z**2. Solve q(i) = 0.
0, 1/3, 1
Solve -7*q**2 - 12*q - 37 - 3*q + 28 - q**3 = 0.
-3, -1
Let y = 14 - -61. Let o be (15/y)/((-2)/(-30)). Determine c, given that 0*c + 0 + 3/5*c**o + 0*c**2 = 0.
0
Let p(g) = 5*g**2 + 35*g - 13. Let k(i) be the first derivative of i**3 + 9*i**2 - 6*i + 5. Let l(s) = -11*k(s) + 6*p(s). Let l(o) = 0. Calculate o.
2
Let f(t) be the third derivative of t**5/10 - t**4/4 - t**3 - 3*t**2. Let c(q) = -11*q**2 + 11*q + 12. Let z(s) = 3*c(s) + 5*f(s). Factor z(k).
-3*(k - 2)*(k + 1)
Let i(t) = 2*t**3 - 16*t**2 - 9*t + 16. Let w(q) = -q**3 + 11*q**2 + 6*q - 11. Let c(a) = -5*i(a) - 7*w(a). Factor c(o).
-3*(o - 1)**2*(o + 1)
Let i be 3 + 3*10/(-15). Suppose 0 = -5*l + 9 + i. Factor 2*u + 1/2*u**l + 3/2.
(u + 1)*(u + 3)/2
Let z(o) be the third derivative of 0*o + 1/480*o**5 + o**2 + 1/96*o**4 + 0 - 1/16*o**3. Factor z(c).
(c - 1)*(c + 3)/8
Let o(f) be the first derivative of f**5/70 - 2*f**4/21 + 5*f**3/21 - 2*f**2/7 + 4*f - 1. Let q(s) be the first derivative of o(s). Factor q(h).
2*(h - 2)*(h - 1)**2/7
Let c(b) be the first derivative of -7/6*b**3 - 4 - 2*b + 4*b**2. Let c(h) = 0. Calculate h.
2/7, 2
Factor 0 - 5*z**4 - 25/2*z + 1/2*z**5 + 5*z**2 + 12*z**3.
z*(z - 5)**2*(z - 1)*(z + 1)/2
Let m = 436/5 - 86. Factor -4/15*z - m*z**3 + 14/15*z**2 + 2/3*z**4 - 2/15*z**5 + 0.
-2*z*(z - 2)*(z - 1)**3/15
Factor 0*g**3 + 0*g**2 + 0 + 1/5*g**5 - 1/5*g**4 + 0*g.
g**4*(g - 1)/5
Let f = -90 - -146. Let a be (-48)/60 - f/(-45). Factor -2/3*o**2 - a*o + 0 - 2/9*o**3.
-2*o*(o + 1)*(o + 2)/9
Let k(d) = -9*d**4 + 3*d**3 + 9*d**2 - 15*d. Let t(m) = -m**4 - 1. Let f(u) = k(u) - 6*t(u). Factor f(h).
-3*(h - 1)**3*(h + 2)
Suppose 5*l + 0*j - 12 = j, -3*l + 5*j + 16 = 0. Suppose 6*a**4 + 2*a**5 + 6*a**3 - 2*a - a**2 + 3*a**l + 2*a = 0. What is a?
-1, 0
Factor 18*u - 17*u + 20*u - 3*u**2 - 18.
-3*(u - 6)*(u - 1)
Let w(m) = -3*m**2 - 4*m - 7. Let t(q) = 4*q - 5*q + 1 + 0 + 2*q + q**2. Let z(f) = 6*t(f) + w(f). Factor z(y).
(y + 1)*(3*y - 1)
Let i(b) be the first derivative of -b**4/20 + 2*b**3/15 + 3*b**2/10 - 2. Solve i(v) = 0.
-1, 0, 3
Determine s so that 2/11*s**4 + 6/11*s**2 - 8/11*s - 8/11 + 8/11*s**3 = 0.
-2, -1, 1
Let f = -16235/12 + 1352. Let u = 9/4 + f. Find w such that -2/3*w**5 + u - 8/3*w**4 + 4/3*w**2 - 8/3*w**3 + 10/3*w = 0.
-2, -1, 1
Let i(j) be the third derivative of 1/108*j**6 - 1/315*j**7 + 0*j**3 - 3*j**2 + 0*j - 1/108*j**4 + 0 - 1/270*j**5. Factor i(y).
-2*y*(y - 1)**2*(3*y + 1)/9
Let b be (-12)/55 + (-4)/(-10). Let w be (-4)/(2/4*-44). Factor w*f + 4/11 - b*f**2.
-2*(f -