et u(l) be the second derivative of l**4/3 - 2*l**3/3 - 4*l**2 + 28*l. Factor u(d).
4*(d - 2)*(d + 1)
Suppose 0 = 2*b - 3*q - 23, -b + q + 17 = 2*b. Suppose 2 = -b*i + 18. Let 3*p**2 - 1 + 2*p + 0 - 3*p**i + p**2 - 2*p**3 = 0. What is p?
-1, 1/3, 1
Factor 16*u**3 + 4*u**2 - 14*u**3 - 8*u**2.
2*u**2*(u - 2)
Let o(k) = 5*k**4 + 30*k**3 + 35*k**2 + 10*k. Let c(i) = -3*i**4 - 15*i**3 - 17*i**2 - 5*i. Let x(m) = -5*c(m) - 2*o(m). Factor x(p).
5*p*(p + 1)**3
Let x(p) be the first derivative of 2*p**7/21 + 4*p**6/15 + p**5/5 + p + 1. Let u(j) be the first derivative of x(j). Find g, given that u(g) = 0.
-1, 0
Suppose -3/5*o - 4/5*o**3 + 0 - 13/5*o**2 = 0. Calculate o.
-3, -1/4, 0
Let y(p) be the first derivative of -1/4*p**5 - 1/24*p**6 - 1/2*p**4 - 1/3*p**3 + 0*p + 1 + 0*p**2. What is a in y(a) = 0?
-2, -1, 0
Let h(a) be the first derivative of a**8/1344 + a**7/280 + a**6/160 + a**5/240 - 3*a**2/2 - 4. Let p(m) be the second derivative of h(m). Solve p(q) = 0 for q.
-1, 0
Suppose -4*g - 3*r - 1 = 0, 3*r = 3*g - 5 - 10. Suppose -y + 0*y = -g. What is n in n**y + 0*n + n**3 + 0*n - n - n**4 = 0?
-1, 0, 1
Factor c**3 + 5*c - 5*c**3 - 15*c**2 + c**3 + 13*c**3.
5*c*(c - 1)*(2*c - 1)
Let b(c) = 2*c**3 + 2*c**2 - c - 1. Let a be b(-2). Let y = 7 + a. Determine w so that 0*w**2 + y*w**4 + 1/3*w**5 + 0 + 0*w - 1/3*w**3 = 0.
-1, 0, 1
Let f = 17 + -13. Factor -6*s**2 + 2*s**f + 3 + 0*s**2 + s**4.
3*(s - 1)**2*(s + 1)**2
Let k(x) be the first derivative of 3 - x + 1/3*x**3 + 1/2*x**2 - 1/4*x**4. Determine v so that k(v) = 0.
-1, 1
Suppose -4 = -5*v + 2*u, -8 - 2 = 5*v + 5*u. Let s = 5 - v. Solve 2/5*m**s - 4/5*m**3 + 4/5*m**2 - 2/5 - 2/5*m**4 + 2/5*m = 0 for m.
-1, 1
Factor 128 + 0*c**2 + 35*c + 2*c**2 - 3*c.
2*(c + 8)**2
Let w = 1046 + -1044. Solve 1/3*h**w + 1/6*h**5 + 0*h**3 + 0 - 1/6*h - 1/3*h**4 = 0 for h.
-1, 0, 1
Suppose -8/3 + 98/3*o**4 - 30*o**2 - 56/3*o + 56/3*o**3 = 0. Calculate o.
-1, -2/7, 1
Let x = -4 + 6. Let a be (-112)/40 - 3*-1. Suppose 1/5*h**3 - a*h + 0 - 1/5*h**4 + 1/5*h**x = 0. Calculate h.
-1, 0, 1
Let o(a) be the second derivative of a**4/42 - a**3/7 + 2*a**2/7 + 7*a. Factor o(l).
2*(l - 2)*(l - 1)/7
Let p(f) be the first derivative of f**4/10 + 4*f**3/15 - f**2/5 - 4*f/5 + 3. What is r in p(r) = 0?
-2, -1, 1
Find y such that -10/9 + 2/9*y**2 - 8/9*y = 0.
-1, 5
Let t(s) be the third derivative of -s**5/75 + 2*s**4/15 - 8*s**3/15 - 18*s**2. Solve t(i) = 0 for i.
2
Let t(i) be the third derivative of -1/8*i**4 + 0*i + 0 + 0*i**6 + 0*i**3 + 1/10*i**5 + 1/112*i**8 - 2*i**2 - 1/35*i**7. Find y, given that t(y) = 0.
-1, 0, 1
Let m(g) = -g**3 - g**2 - g - 2. Let w be m(0). Let p = w + 4. Factor -4 - 5*u**2 + 4*u**p + 4*u - 4*u + 4*u.
-(u - 2)**2
Let i(p) be the third derivative of p**7/210 + p**6/15 + 4*p**5/15 - 6*p**2. Factor i(l).
l**2*(l + 4)**2
Let f(u) be the third derivative of u**6/30 - 7*u**5/30 + 7*u**4/12 - 2*u**3/3 + 33*u**2. Factor f(m).
2*(m - 2)*(m - 1)*(2*m - 1)
Let l(v) = v**4 + v**2 + v - 1. Suppose -3*n - 1 = -4*n. Let s(x) = -5*x**4 - 5*x**3 - 13*x**2 - 11*x + 2. Let a(b) = n*s(b) + 4*l(b). Factor a(p).
-(p + 1)**3*(p + 2)
Let y(z) = -z**3 - 15*z**2 - 14*z. Suppose 3*f = -p - 14, -4*p - 56 = -4*f + f. Let q be y(p). Factor 3/4*k**3 + 0 + 0*k + q*k**2.
3*k**3/4
Let z = 14/3 - 4. Factor -4/3*t**2 + 2/3*t + z*t**3 + 0.
2*t*(t - 1)**2/3
Let o = 55 - 55. Let h(w) be the first derivative of 1/2*w**4 + o*w - 3 + 2/3*w**3 + 0*w**2. Determine z so that h(z) = 0.
-1, 0
Let q(w) = -3*w**2 + 6*w - 3. Let n(t) be the first derivative of -10*t**3/3 + 19*t**2/2 - 9*t - 4. Let i(x) = 4*n(x) - 14*q(x). Find d such that i(d) = 0.
1, 3
Let c(b) be the third derivative of -b**6/120 + b**4/8 - b**3/3 - 4*b**2. Let c(t) = 0. Calculate t.
-2, 1
What is j in 8/11*j + 2/11*j**4 - 8/11*j**3 + 6/11*j**2 - 8/11 = 0?
-1, 1, 2
Let q(u) be the first derivative of -2 + 2/9*u**3 - 1/12*u**4 - 1/6*u**2 + 0*u. Suppose q(j) = 0. Calculate j.
0, 1
Let l = 9 - 6. Let u(z) = 4 - l - 3 - z**2 - z + 3. Let o(p) = p**2 + p + 1. Let a(t) = -o(t) - 3*u(t). Find v, given that a(v) = 0.
-2, 1
Let r(d) be the third derivative of -d**6/80 + d**5/8 - 7*d**4/16 + 3*d**3/4 + 2*d**2. Let r(u) = 0. Calculate u.
1, 3
Let n(z) = z**3 + 16*z**2 + 14*z - 15. Let u be n(-15). Find p, given that 2/3 - 2/3*p**2 + u*p = 0.
-1, 1
Let z = -98 + 295/3. Let c(u) be the first derivative of u + u**2 - 1 + z*u**3. Factor c(h).
(h + 1)**2
Let a(p) = -p**2 - 3*p - 6. Let y be a(5). Let r = -26 - y. Find s such that -3*s**5 - 1 + 6*s**3 + 4*s**4 - r*s**3 + 7*s**4 + s + 6*s**2 = 0.
-1/3, 1
Suppose -12 = -3*q - 0*q. Solve -3 + h**3 + 2 - 1 - h + 3*h**2 - h**q = 0 for h.
-1, 1, 2
Let i(s) be the second derivative of 0 + 0*s**2 - 2*s + 1/6*s**4 + 2/3*s**3. Determine l so that i(l) = 0.
-2, 0
Let w(t) = -t**3 - 7*t**2 - 8*t - 10. Let k be w(-6). Let a(g) be the first derivative of -1/3*g**6 + g**4 + 0*g**5 + 1 - g**k + 0*g**3 + 0*g. Factor a(r).
-2*r*(r - 1)**2*(r + 1)**2
Determine k so that 15*k**2 + 20*k - 2*k**3 + 3*k**3 + 0*k**3 - 6*k**3 = 0.
-1, 0, 4
Suppose -3*n + 62 = 5. Suppose 5*f = -n + 104. Let k(p) = 2*p**2 - 21*p - 23. Let u(a) = -a**2 + 7*a + 8. Let z(s) = f*u(s) + 6*k(s). What is c in z(c) = 0?
-1, -2/5
Find k such that -6*k**2 - 4*k**3 + 3*k - k**3 + 11*k**5 + 6*k**4 - 2*k**5 - 7*k**3 = 0.
-1, 0, 1/3, 1
Let w be 4*((-1)/4)/(-1). Let a be (1 - 0)*(-1 + w). Let 4/9*p + a*p**2 + 2/9*p**4 - 4/9*p**3 - 2/9 = 0. What is p?
-1, 1
Let d(v) be the second derivative of v**5/40 - v**4/8 - v**3/12 + 3*v**2/4 - 2*v + 6. Factor d(h).
(h - 3)*(h - 1)*(h + 1)/2
Let f = 16/15 + -22/105. Solve -6/7*k**2 - f*k - 2/7*k**3 - 2/7 = 0 for k.
-1
Let w be ((-12)/(-22))/(18 - 15). Find m, given that -6/11*m + w - 8/11*m**2 = 0.
-1, 1/4
Let m = 62 - 59. Let c(w) be the second derivative of 0 - 1/15*w**5 + 4/3*w**2 + 1/45*w**6 - m*w - 1/6*w**4 + 4/9*w**3. Determine v, given that c(v) = 0.
-1, 2
Let t = 75 + -75. Let r be (-4)/10 - 6/(-15). Factor 0*i - 3/5*i**3 + r*i**2 + t.
-3*i**3/5
Let u(w) be the second derivative of 11/40*w**5 - 1/8*w**2 + 0 - 13/120*w**6 + 1/56*w**7 - 3/8*w**4 + 7/24*w**3 - 3*w. Suppose u(d) = 0. Calculate d.
1/3, 1
Let b = 41 - 52. Let v be (4 - b)/5*1. Factor 0*y**2 - 3/4*y**3 + v*y + 0.
-3*y*(y - 2)*(y + 2)/4
Factor 2/3*j - 4/3 - 2/3*j**3 + 4/3*j**2.
-2*(j - 2)*(j - 1)*(j + 1)/3
Let r(v) be the third derivative of v**6/240 + v**5/30 + 5*v**4/48 + v**3/6 + 5*v**2. Determine s so that r(s) = 0.
-2, -1
Let u(q) = -q**3 - 4*q**2 + q + 7. Let a be u(-4). Find n, given that 3*n - 16*n**2 - n**3 + 3*n + 10*n**a + n**2 = 0.
0, 2/3, 1
Let t = -13 + 31. Let u = t - 15. Factor 10/3*q**u + 0 + 4/3*q + 14/3*q**2.
2*q*(q + 1)*(5*q + 2)/3
Let w be 1 + (-1)/(-2)*2. Suppose -7*h**5 + 9*h**3 - 4*h**3 + 5*h**3 + 2*h**3 + 9*h**4 - 4*h**w = 0. Calculate h.
-1, 0, 2/7, 2
Let d(j) = 4*j - 28. Let m be d(7). Solve 0*q**4 + 2/7*q**5 - 4/7*q**3 + m*q**2 + 2/7*q + 0 = 0 for q.
-1, 0, 1
Let d be 20*(-5)/((-40)/6). Suppose 0 = -4*x + h + 16, 0 = x + 2*h + 2 - d. Factor -8*y - 5 - 2*y**2 + x - 2 - 6.
-2*(y + 2)**2
Determine n so that -15*n**3 - 4143 - 5*n**4 + 20*n + 4143 = 0.
-2, 0, 1
Factor 0*o - 2/9*o**2 + 2.
-2*(o - 3)*(o + 3)/9
Factor -2*x - 2*x**4 - 29 + 17 + 6*x**2 + 8 + 2*x**3.
-2*(x - 2)*(x - 1)*(x + 1)**2
Suppose 2*p - 2*m = 2, -2*p + 2*m = -2*m + 8. Factor u**2 + 8 - 5 - 2*u - p.
(u - 3)*(u + 1)
Let s(h) be the second derivative of 1/3*h**4 + 0*h**2 - 1/3*h**3 - 1/10*h**5 + 0 - 2*h. Solve s(g) = 0 for g.
0, 1
Let k(w) be the second derivative of -1/5*w**6 + 0 + 0*w**2 - 4/5*w**5 - 1/2*w**4 + 5*w + 2/3*w**3. Suppose k(y) = 0. Calculate y.
-2, -1, 0, 1/3
Let y(l) be the third derivative of -l**10/453600 + l**9/90720 - l**8/60480 + l**5/15 - 2*l**2. Let t(q) be the third derivative of y(q). Factor t(w).
-w**2*(w - 1)**2/3
Let k(p) be the second derivative of -10*p + 0 + 1/16*p**4 + 0*p**2 + 0*p**3. Determine b, given that k(b) = 0.
0
What is g in -5/6*g**2 + 5*g - 25/6 = 0?
1, 5
Suppose 3*b = 3 - 15, -3*u + b = -34. Suppose -u = -4*z + 2. Factor 0*w**2 + 0*w + 0 - 6/7*w**5 - 10/7*w**4 + 4/7*w**z.
-2*w**3*(w + 2)*(3*w - 1)/7
Suppose -5*y + 10 = 0, -4*y + 2 = -2*a - 0*y. Determine m so that 30*m**3 + 5*m - a*m + 6*m + 32*m**2 = 0.
-2/3, -2/5, 0
Let u be (4 - 3)*(-6)/(-2). Let o(a) be the second derivativ