-25)/(-2). Factor -3*r - 4*r**4 + 4*r**2 - u*r**2 + 5*r**4 - 9*r**3 - 4*r**4.
-3*r*(r + 1)**3
Let b = -34484/15 - -2300. Let d(u) be the second derivative of -u + b*u**3 + 0 + 1/6*u**4 + 4/5*u**2 - 7/50*u**5. Factor d(k).
-2*(k - 2)*(k + 1)*(7*k + 2)/5
Let f(h) = h**3 + 19*h**2 - 2*h - 34. Let w be f(-19). Solve -2/9*b**w + 4/9*b**3 + 2/3*b**2 - 8/9*b - 8/9 = 0 for b.
-1, 2
Let a = 0 + 5. Suppose -19 = 4*c - 3*c - 4*m, -m = -a. Factor -c - 2*b**2 + 1.
-2*b**2
Let j(g) be the first derivative of g**6/30 - g**5/5 + g**4/2 - 2*g**3/3 + g**2/2 - 4*g + 2. Let q(o) be the first derivative of j(o). Factor q(m).
(m - 1)**4
Let s(n) be the first derivative of -n**7/14 - n**6/10 + 2*n + 5. Let b(g) be the first derivative of s(g). Suppose b(k) = 0. What is k?
-1, 0
Let j(c) = c**4 + c**3 - c**2 - c + 1. Let k(f) = -2*f**4 - 5*f**3 - 7*f**2 + 5*f - 5. Let x(h) = 5*j(h) + k(h). Let x(l) = 0. Calculate l.
-2, 0, 2
Suppose -77*d + 24 = -71*d. Let m = 12 - 7. What is z in 0 + 2/3*z**d - 2/3*z**2 - z**m + 0*z + z**3 = 0?
-1, 0, 2/3, 1
What is p in -3*p**2 - 3 + p + 2 - 7*p - 2*p**2 = 0?
-1, -1/5
Let z(r) be the first derivative of 2/27*r**3 - 2 + 0*r**2 - 2/45*r**5 + 0*r**4 + 0*r. Suppose z(o) = 0. What is o?
-1, 0, 1
Let s(g) = 2*g**3 - 2*g**2 + 2*g + 6. Suppose -3*r + 3 = -5*c + 31, 2*c = 10. Let z(v) = -v**2 + 1. Let t(a) = r*s(a) + 6*z(a). Find j such that t(j) = 0.
-1, 0
Let w(n) = n. Let l be w(3). Let -3*t**4 - 3*t**l - 9 + 9 = 0. Calculate t.
-1, 0
Let d(k) = -4*k**2 + 6*k - 4*k**2 + 2*k**2. Let i(w) be the first derivative of w**3/3 - w**2/2 + 8. Let h(f) = 2*d(f) + 11*i(f). Find l, given that h(l) = 0.
0, 1
Suppose 116 = 3*c + 32. Suppose n**2 + 2*n + 28 - c = 0. Calculate n.
-2, 0
Let t = -6 - -10. Find g such that 6*g - 2*g + 2*g**3 + t*g**2 - 2*g = 0.
-1, 0
Find p such that -15/2*p + 3/2*p**2 + 0 - 3/2*p**4 + 15/2*p**3 = 0.
-1, 0, 1, 5
Suppose -w = 3*w - 4*k, 3 = -3*w + 4*k. What is r in 4/3*r - 4/3*r**w + 2/3 + 0*r**2 - 2/3*r**4 = 0?
-1, 1
Suppose -9 = -5*j + 5*x - 4, -2*j = -5*x + 1. Let h(v) be the third derivative of 2*v**j + 0 - 2/3*v**3 + 0*v - 1/60*v**5 - 1/6*v**4. Factor h(t).
-(t + 2)**2
Let a(n) be the first derivative of -1/2*n**2 - 2 + 1/6*n**3 + 0*n. Factor a(g).
g*(g - 2)/2
Let u(w) = 5*w**2 + 5*w - 2. Let c(i) = -11*i**2 - 11*i + 4. Let z(l) = 4*c(l) + 9*u(l). Suppose z(x) = 0. What is x?
-2, 1
Let j be 9/12 + (-8 - -8). Let 1/4*g**2 - 3/4*g + j*g**3 - 1/2 + 1/4*g**4 = 0. Calculate g.
-2, -1, 1
Let d(g) be the third derivative of 2*g**7/105 - g**6/12 + g**5/15 - 4*g**2. Find o such that d(o) = 0.
0, 1/2, 2
Let x(a) be the first derivative of 2*a**3/15 - 18*a**2/5 + 162*a/5 - 12. Suppose x(n) = 0. Calculate n.
9
Suppose -4*l + 2*j = 0, 3*l + l + 4 = 4*j. Let c be (-1)/1*l*-7. Solve 10*t**3 + c*t**2 + 4*t**3 + 4*t + 11*t**2 = 0.
-1, -2/7, 0
Let m(d) = d**2 - d + 1. Let a(x) = -4*x**2 - 2*x - 4. Let b(s) = -a(s) - 2*m(s). Suppose b(i) = 0. What is i?
-1
Let g(j) be the first derivative of -7*j**5/55 - j**4/22 + 37. Factor g(o).
-o**3*(7*o + 2)/11
Let i(a) be the first derivative of -3*a**5/5 - 15*a**4/4 - 9*a**3 - 21*a**2/2 - 6*a - 16. Factor i(b).
-3*(b + 1)**3*(b + 2)
Let s = 13257/80 - 828/5. Let p(g) be the second derivative of 0 - 1/8*g**4 + g - 1/24*g**3 + 0*g**2 - s*g**5. Factor p(u).
-u*(3*u + 1)**2/4
Factor 2/3*n**3 - 4/3*n**2 + 4/3 - 2/3*n.
2*(n - 2)*(n - 1)*(n + 1)/3
Let p be (-3465)/(-2178) + (0 - 2/22). Factor -1/4*b**4 - b**3 - 1/4 - b - p*b**2.
-(b + 1)**4/4
Let a(f) be the second derivative of 0 + 4*f + 0*f**4 + 1/135*f**6 + 0*f**2 + 0*f**3 - 1/90*f**5. Factor a(s).
2*s**3*(s - 1)/9
Let f(g) be the first derivative of -g**3 + 3*g**2 + 4. Factor f(c).
-3*c*(c - 2)
Let u(l) be the first derivative of l**6/15 + 6*l**5/25 + l**4/5 - 4*l**3/15 - 3*l**2/5 - 2*l/5 + 2. Factor u(d).
2*(d - 1)*(d + 1)**4/5
Let n = -15 + 15. Let o(j) be the second derivative of n*j**5 + 1/15*j**4 - 1/105*j**7 + j - 2/75*j**6 + 0*j**2 + 1/15*j**3 + 0. Solve o(s) = 0.
-1, 0, 1
Let c(v) be the third derivative of v**7/1260 - v**6/720 - v**5/60 + v**4/36 + 2*v**3/9 + 5*v**2. Factor c(n).
(n - 2)**2*(n + 1)*(n + 2)/6
Let m be (-136)/(-20) - (-3)/15. Suppose 5 - m = -d. Factor 1/3*r**3 + 0*r**4 - 1/6*r + 0*r**d - 1/6*r**5 + 0.
-r*(r - 1)**2*(r + 1)**2/6
Let -13*b**2 - 16*b**2 + 31*b**2 - 6*b**2 + 2*b**3 = 0. What is b?
0, 2
Let g(i) = 15*i**2 + 52*i - 53. Let k(f) = 5*f**2 + 17*f - 18. Let n(y) = -2*g(y) + 7*k(y). Factor n(l).
5*(l - 1)*(l + 4)
Let l(k) = k**5 + 11*k**4 - 4*k**3 - 11*k**2. Let j(i) = -12*i**5 - 120*i**4 + 44*i**3 + 120*i**2. Let q(t) = 3*j(t) + 32*l(t). Determine z so that q(z) = 0.
-2, -1, 0, 1
Let g be 7 + -1 - -1*1. Let x = g - 5. Solve 0 - 2 + n**4 + 0*n**2 + 4*n**x - 3*n**4 = 0 for n.
-1, 1
Let d(b) = -2*b**4 + 9*b**3 - 11*b - 11. Let l(s) = 5*s**3 - 6*s + 15*s**2 - 6 - 15*s**2 - s**4. Let c(m) = -6*d(m) + 11*l(m). Factor c(v).
v**3*(v + 1)
Let j(a) be the first derivative of 5*a**3/18 - 5*a**2/12 + 37. Factor j(n).
5*n*(n - 1)/6
Suppose m = -2*v + 6*m - 15, 2*v + 12 = 4*m. Factor -2/7 + 0*u + v*u**3 - 2/7*u**4 + 4/7*u**2.
-2*(u - 1)**2*(u + 1)**2/7
Let l(p) be the second derivative of 4*p + 0 - 1/50*p**5 - 1/15*p**4 - 1/15*p**3 + 0*p**2. Factor l(b).
-2*b*(b + 1)**2/5
Let l = -456 + 458. Let 0 + 0*p + 8/7*p**l - 8/7*p**3 + 2/7*p**4 = 0. Calculate p.
0, 2
Let n(u) be the first derivative of -2*u**6/3 - 6*u**5/5 + 2*u**3/3 + 9. Factor n(j).
-2*j**2*(j + 1)**2*(2*j - 1)
Let i(l) be the second derivative of l**4/96 - l**3/16 + l**2/8 + 17*l. Solve i(t) = 0 for t.
1, 2
Let -7*a - 25*a**2 - 2*a**4 + 12*a**3 - 29*a**2 + 19*a + 32*a**2 = 0. What is a?
0, 1, 2, 3
Let u(v) be the second derivative of 5*v**7/42 - v**6/6 - v**5/4 + 5*v**4/12 + 3*v. Suppose u(a) = 0. What is a?
-1, 0, 1
Let f be 4/18 - (1 - 1). Let n be (-74)/(-22) - (-264)/(-726). Determine b, given that 4/9 + 2/9*b - f*b**n - 4/9*b**2 = 0.
-2, -1, 1
Let j be (27/24)/((-6)/(-4)). Let a = 17/22 - 3/11. Suppose 1/4*r**2 + a + j*r = 0. Calculate r.
-2, -1
Let y(l) be the first derivative of -l**4 - 16*l**3/3 - 10*l**2 - 8*l + 24. Factor y(g).
-4*(g + 1)**2*(g + 2)
Let h(u) be the second derivative of u**4/108 + u**3/9 + 5*u**2/18 + 20*u. Factor h(c).
(c + 1)*(c + 5)/9
Let h(r) be the second derivative of -r**5/25 + 2*r**3/15 + 16*r. Factor h(x).
-4*x*(x - 1)*(x + 1)/5
Let y = 3/176 + -1781/1232. Let r = 37/21 + y. Let -r*a**2 + 0 + 1/3*a = 0. What is a?
0, 1
Determine c so that 20*c**4 - 14 + 4*c**5 + 7*c + 24*c**3 + 23 - 21 - 35*c - 8*c**2 = 0.
-3, -1, 1
Let q = 154927/16748 - 2/4187. Let a = q + -8. Factor a*h - h**2 - 1/4.
-(h - 1)*(4*h - 1)/4
Let q be (-198)/45 + (3 - -2). Factor 0*w + 0*w**2 + q*w**3 + 0 + 3/5*w**5 - 6/5*w**4.
3*w**3*(w - 1)**2/5
Let i be (-6 - -5)*(-10)/2. Let z = -3 + i. Factor 6*t**3 - 2 - 5/2*t**z - 6*t + 9/2*t**4.
(t - 1)*(t + 1)*(3*t + 2)**2/2
Let c = -39 - -45. Let j(z) be the third derivative of -z**2 - 3/4*z**4 + 0 - 11/60*z**c + 0*z - 2/3*z**3 - 1/35*z**7 - 1/2*z**5. Suppose j(t) = 0. Calculate t.
-1, -2/3
Suppose 8 = 4*p - 0. What is x in 4/5*x**p - 1/5*x**5 - 6/5*x**3 - 1/5*x + 0 + 4/5*x**4 = 0?
0, 1
Let u(g) be the third derivative of g**8/112 - 21*g**2. Factor u(r).
3*r**5
Let y be 1 + 3/9 + -1*1. Let m(z) be the first derivative of -2 - 2/9*z + y*z**2 + 1/18*z**4 - 2/9*z**3. Factor m(v).
2*(v - 1)**3/9
Let m(o) be the third derivative of -o**6/60 + o**5/15 + 7*o**4/12 + 4*o**3/3 + 18*o**2. Factor m(n).
-2*(n - 4)*(n + 1)**2
Let n(f) = 6*f**2 + 7*f + 6. Let v(p) = -p**2 - p - 1. Let x(t) = n(t) + 5*v(t). Suppose x(a) = 0. What is a?
-1
Let l be (-7)/4*8/(-56). Let t(o) = o**2 + 2*o. Let q be t(-3). Factor l*h**4 + 0 + 0*h**2 + 1/4*h**q + 0*h.
h**3*(h + 1)/4
Determine c so that -2*c**3 + 7*c - 9/2 - 1/2*c**2 = 0.
-9/4, 1
Let c(t) be the second derivative of -t**6/30 + t**5/5 - t**4/3 + 5*t. Factor c(q).
-q**2*(q - 2)**2
Let u(t) = -2*t**3 - 10*t**2 - 2*t - 2. Let k(i) = -2*i**3 - 11*i**2 - i - 2. Let p(j) = 4*k(j) - 5*u(j). Solve p(a) = 0 for a.
-1
Solve 1/3 + 0*l - 1/3*l**2 = 0 for l.
-1, 1
Solve 0 - 4/5*k**3 - 2/5*k**4 + 8/5*k**2 + 16/5*k = 0.
-2, 0, 2
Let f(q) be the first derivative of -q**6/2 + 3*q**5/5 + 33*q**4/4 + 7*q**3 - 15*q**2 - 24*q - 3. What is k in f(k) = 0?
-2, -1, 1, 4
Let r(z) = -11*z**2 + 11*z + 0*z**2 + 4*z**3 - 9 - 3