 + m.
-2*(d - 2)*(3*d + 1)/3
Let h(i) be the second derivative of -i**4/42 + i**3/21 + 10*i. Factor h(j).
-2*j*(j - 1)/7
Find u, given that -4*u**2 + 2*u**2 + u**4 - 3*u**3 + 3*u**2 + u**3 = 0.
0, 1
Suppose 6 = s + 1. Let j(n) be the third derivative of 0 + 1/24*n**4 - 2*n**2 - 1/60*n**s + 0*n + 0*n**3. Let j(x) = 0. Calculate x.
0, 1
Let t(q) be the first derivative of -q**5/15 + q**4/6 - q**3/9 - 18. Factor t(k).
-k**2*(k - 1)**2/3
Let o(w) be the first derivative of -w**4/48 - w**3/12 + 2*w - 1. Let b(t) be the first derivative of o(t). Determine k, given that b(k) = 0.
-2, 0
Let s(f) be the third derivative of -1/6*f**3 - 1/60*f**5 - 1/12*f**4 + 0*f + 0 + 3*f**2. Let s(g) = 0. What is g?
-1
Let l(w) be the third derivative of -w**5/30 - w**4/4 - 2*w**3/3 - w**2. Find n, given that l(n) = 0.
-2, -1
Suppose -20 = 5*i, 0 = 5*o - 0*i - i - 24. Let c(k) be the second derivative of 1/15*k**6 + 1/3*k**3 + 0 + 1/2*k**o + 0*k**2 + 3/10*k**5 - 2*k. Factor c(r).
2*r*(r + 1)**3
Let n = -36 + 26. Let i be 36/5 - (-2)/n. Let -2*y**3 - i*y + 7*y = 0. What is y?
0
Let r(q) = 2*q**5 + 4*q**3 + 2*q. Let m(p) = 3*p**5 - p**4 + 7*p**3 + p**2 + 4*p. Let c(j) = 4*m(j) - 7*r(j). Let c(h) = 0. What is h?
-1, 0, 1
Suppose -94*h = -90*h. Let -4/7*q**2 + 2/7 + 2/7*q**4 + h*q + 0*q**3 = 0. What is q?
-1, 1
Suppose k - 2*k = -2. Factor -5*h**k - 2*h**3 + h**4 - h**2 + 2*h + 5*h**2.
h*(h - 2)*(h - 1)*(h + 1)
Let l(y) = -y - 50*y**2 - 7 - 19*y + 5*y. Let q(w) = -25*w**2 - 8*w - 3. Let t = 9 + -14. Let x(j) = t*q(j) + 2*l(j). Find o such that x(o) = 0.
-1/5
Let m(v) = 29*v**3 - 39*v**2 + 7*v + 3. Let n(y) = -19*y**3 + 26*y**2 - 5*y - 2. Let g(a) = -5*m(a) - 8*n(a). Solve g(i) = 0.
-1/7, 1
Let p(g) = 3*g**2 + 2*g - 1. Let c be 4/(-3) - 28/42. Let s(v) be the second derivative of -v**4/12 - v**3/6 + v. Let a(f) = c*p(f) - 7*s(f). Factor a(k).
(k + 1)*(k + 2)
Let z(l) be the second derivative of -l**6/135 + l**5/90 + 4*l. Find y, given that z(y) = 0.
0, 1
Let r(k) be the second derivative of -k**6/60 - k**5/20 + k**3/6 + k**2/4 - 4*k. Suppose r(x) = 0. What is x?
-1, 1
Let q = 2337/5 - 467. Factor -q*t**2 - 4/5*t + 8/5 + 1/5*t**3.
(t - 2)**2*(t + 2)/5
Let d(b) be the second derivative of 9/5*b**5 + b**2 + 2*b + 3*b**3 + 97/24*b**4 + 0 + 4/15*b**6. What is f in d(f) = 0?
-2, -1/4
Suppose p = 5*p - 40. Suppose c = -6 + p. Factor 0 - 1/3*j**c + 0*j + 2/3*j**3 - 1/3*j**2.
-j**2*(j - 1)**2/3
Let p = 5 - 2. Factor 3 + 3*r**2 - p*r - 3.
3*r*(r - 1)
Determine s, given that -2/7*s**2 + 0 + 2/7*s**4 + 4/7*s - 6/7*s**3 + 2/7*s**5 = 0.
-2, -1, 0, 1
Let l(x) be the second derivative of -x**7/126 - x**6/90 + x**5/30 + 2*x. Find d, given that l(d) = 0.
-2, 0, 1
Factor b**2 + 2*b + 10*b + 8*b**3 - 2*b**2 + 2 + 19*b**2.
2*(b + 1)**2*(4*b + 1)
Suppose -23*m**3 + 9*m**3 + 9*m + 17*m**3 + 12*m**2 = 0. Calculate m.
-3, -1, 0
Suppose -3*o + 24 = 5*a, 3*o + 8 = 4*o + 4*a. Find x such that -35*x - o + 0 - 5*x**2 + 13*x = 0.
-4, -2/5
Let i(c) be the second derivative of -c**6/60 - c**5/20 + 3*c**4/8 + c**3/6 - 2*c**2 - 2*c. Solve i(k) = 0 for k.
-4, -1, 1, 2
Let f(t) be the first derivative of 1/10*t**5 + 0*t**3 - 1/6*t**4 - 3*t + 0*t**2 - 3. Let o(d) be the first derivative of f(d). Factor o(q).
2*q**2*(q - 1)
Factor 0 + 6/7*t**2 - 2/7*t**3 - 4/7*t.
-2*t*(t - 2)*(t - 1)/7
Suppose 0 = 2*z + a - 5 - 3, 3*z + a - 10 = 0. Factor h**z - h + 0*h + 3*h + 7*h**2.
2*h*(4*h + 1)
Let h be (-14)/(-77) + (147/99 - 1). Factor -h*p**2 + 0*p - 2/3*p**3 + 0.
-2*p**2*(p + 1)/3
Let t(i) be the second derivative of 3/35*i**6 + 3/14*i**2 + 10*i + 51/140*i**5 + 0 + 1/2*i**3 + 17/28*i**4. Suppose t(d) = 0. Calculate d.
-1, -1/2, -1/3
Let i(k) be the third derivative of -k**5/100 - k**4/40 + k**2. Solve i(x) = 0.
-1, 0
Let g(f) be the third derivative of -f**5/20 - f**4/2 + 5*f**3/2 - 16*f**2. Solve g(c) = 0.
-5, 1
Suppose 8*o - 5*o - 3 = 0. Let a(d) = d**3 + d**2 - d + 1. Let v be a(o). Determine x, given that 1/7*x + 1/7*x**5 + 0*x**4 - 2/7*x**3 + 0*x**v + 0 = 0.
-1, 0, 1
Let h = -25/4 + 137/20. Factor -h*p**2 - 1/5*p**4 + 3/5*p**3 + 1/5*p + 0.
-p*(p - 1)**3/5
Let x(y) = y**2 - 2*y + 5. Let g be ((-11)/2)/((-7)/(-14)). Let d(h) = 3*h**2 - 5*h + 14. Let u(p) = g*x(p) + 4*d(p). Find v such that u(v) = 0.
-1
Find t such that 5*t - 3*t + 25*t**2 - 3 - 24*t**2 = 0.
-3, 1
Let n(w) be the third derivative of w**2 + 0 - 1/8*w**4 + 0*w + 1/20*w**5 + 0*w**3. Let n(c) = 0. Calculate c.
0, 1
Let p(n) = -n**2 + 8*n - 8. Let i be p(6). Suppose 0*d - i*d + 12 = 0. Suppose 0*b**2 - 4/9*b**d + 4/9*b - 2/9 + 2/9*b**4 = 0. Calculate b.
-1, 1
Let q(l) be the first derivative of 0*l**3 + 1/6*l**4 - 1/3*l**2 + 0*l + 1. Factor q(u).
2*u*(u - 1)*(u + 1)/3
Let j = -16 - -13. Let x(g) = g**3 + 4*g**2 + g - 3. Let a be x(j). Find c, given that -4/7*c**4 + 2/7*c**2 + 0*c + 0 + 2/7*c**a = 0.
-1/2, 0, 1
Let s = 115 - 113. Solve 2/9*q**s - 2/9 + 0*q = 0 for q.
-1, 1
Let z(x) be the second derivative of 0*x**3 + 0*x**2 + 0*x**4 + 2/135*x**6 - 9*x - 1/90*x**5 - 1/189*x**7 + 0. Let z(h) = 0. Calculate h.
0, 1
Let r(b) be the second derivative of b**6/180 - b**4/3 - 5*b**3/6 + 4*b. Let f(w) be the second derivative of r(w). Determine s so that f(s) = 0.
-2, 2
Let k(b) = b**2 + 4*b - 2. Let i be k(-4). Let z be 1 + -2 + (-3)/i. Factor -l**3 - 3/2*l**2 + z*l**4 + 2*l + 2.
(l - 2)**2*(l + 1)**2/2
Suppose 0 = -4*h + 19 + 1, -5*z + h = 0. Factor z + 6*u + 0*u - 6*u**3 + 4*u**3 + 3.
-2*(u - 2)*(u + 1)**2
Suppose 1/2 + 1/4*u**4 - 1/4*u + 1/4*u**3 - 3/4*u**2 = 0. What is u?
-2, -1, 1
Let k(v) = v**2 - 2*v - 3. Let s(h) = -6*h**2 + 11*h + 17. Let w(l) = 7*l - 8. Let f be w(6). Let i(c) = f*k(c) + 6*s(c). Factor i(j).
-2*j*(j + 1)
Let k(f) be the second derivative of -f**5/100 - 3*f**4/40 - f**3/5 - 3*f**2/2 - 2*f. Let p(m) be the first derivative of k(m). Factor p(y).
-3*(y + 1)*(y + 2)/5
Let r be 4/26 + 1015/754. Factor -3/2*p**2 - r*p + 0.
-3*p*(p + 1)/2
Suppose 9/2*w**3 + 15/2*w**2 - 18 - 24*w = 0. What is w?
-3, -2/3, 2
Factor 64/7*x**3 + 28*x + 24/7 + 416/7*x**2.
4*(x + 6)*(4*x + 1)**2/7
Let a = 68 - 10. Suppose 60 - a + 4*g**3 - 3*g**3 - 3*g = 0. What is g?
-2, 1
Let f(a) be the third derivative of -a**6/300 + a**5/150 + 9*a**2. Suppose f(g) = 0. What is g?
0, 1
Factor d**5 + 3*d**4 + d**5 + d**3 - 6*d**4.
d**3*(d - 1)*(2*d - 1)
Let g(i) be the third derivative of -1/120*i**6 + 1/60*i**5 + 3*i**2 + 0*i**4 + 0 + 0*i + 0*i**3. Determine r so that g(r) = 0.
0, 1
Let v = 4 - 1. Let h = -1 + v. Factor -2*y**3 - 2*y + 0*y**3 + 0*y**3 + 4*y**h.
-2*y*(y - 1)**2
Let b(y) = -3*y**4 + 3*y**3 + y**2 - 5*y + 5. Let p(w) = -w**2 - w + 1. Let d(n) = -b(n) + 5*p(n). What is k in d(k) = 0?
-1, 0, 2
Let r be (-4)/6*3*32. Let v = r - -194/3. Factor -2/3*h + 2/3 - v*h**2 + 2/3*h**3.
2*(h - 1)**2*(h + 1)/3
Let p(g) = -3*g**5 - 2*g**3 - 5*g**2. Let b(k) = 3*k**5 + k**3 + 4*k**2. Let l(y) = -5*b(y) - 4*p(y). Factor l(u).
-3*u**3*(u - 1)*(u + 1)
Let c(h) be the second derivative of h**5/70 - 2*h**4/21 + 4*h**3/21 - 2*h. Factor c(m).
2*m*(m - 2)**2/7
Let o(l) be the second derivative of -l**7/105 + 2*l**6/75 - l**4/15 + l**3/15 + 11*l. Suppose o(r) = 0. What is r?
-1, 0, 1
Let i(n) = n. Let z(p) = -5*p**2 + 5*p - 5. Let a(w) = -5*i(w) - z(w). Let a(t) = 0. What is t?
1
Let l(c) be the third derivative of c**6/40 + c**5/20 - 20*c**2. Suppose l(d) = 0. What is d?
-1, 0
Let i(a) be the second derivative of 3*a + 1/6*a**4 + 0*a**2 - 1/15*a**6 + 0 + 1/10*a**5 - 1/3*a**3. What is d in i(d) = 0?
-1, 0, 1
Let -21/2*d + 6*d**3 + 81/2*d**2 + 0 = 0. What is d?
-7, 0, 1/4
Let o(d) be the second derivative of 0*d**3 + 1/120*d**6 + 0*d**5 + 6*d - 1/48*d**4 + 0*d**2 + 0. Factor o(h).
h**2*(h - 1)*(h + 1)/4
Let a = 2 - -1. Factor -4/3*k**2 - 2/3 + 5/3*k + 1/3*k**a.
(k - 2)*(k - 1)**2/3
Let f = -13 + 8. Let c(k) = k**3 + 4*k**2 - 4*k + 7. Let y be c(f). Solve 3*s**2 + 0*s**2 - y*s**2 = 0.
0
Suppose -6*r + 2*r = -16. Find k such that -10*k**3 - 4*k**2 + 13*k**5 - 9*k**4 + k**r - 15*k**5 = 0.
-2, -1, 0
Let x(m) be the first derivative of m**6/15 + 2*m**5/25 - m**4/10 - 2*m**3/15 + 24. Factor x(n).
2*n**2*(n - 1)*(n + 1)**2/5
Suppose -3*g = -g - 6, 0 = 2*s + 4*g - 20. Let p(m) be the third derivative of 1/6*m**s + m**2 + 0*m**3 + 0*m - 1/60*m**6 - 1/30*m**5 + 0. Factor p(w).
-2*w*(w - 1)*(w + 2)