k**2 - 5/2*k - 25/4 = 0. What is k?
-5
Let a(y) = 2*y**5 + y**4 + y**3 - y + 1. Let h(w) = w**5 - 28*w**4 + 14*w**3 + 462*w**2 - 443*w + 2. Let j(q) = 2*a(q) - h(q). Factor j(o).
3*o*(o - 3)*(o - 1)*(o + 7)**2
Let g(s) be the second derivative of s**5/45 - 25*s**4/27 - 52*s**3/27 + 54*s + 3. Factor g(l).
4*l*(l - 26)*(l + 1)/9
Suppose -2*x - l = -19, 2*l + 9 = -x + 20. Let r = 11 - x. Factor 2*n**r + 2 + 5*n - 5*n - 4*n.
2*(n - 1)**2
Let f(u) be the second derivative of -u**7/2940 - u**6/630 - u**5/420 - 5*u**3/2 + 20*u. Let c(i) be the second derivative of f(i). Factor c(l).
-2*l*(l + 1)**2/7
Let k = -4327/30 + 869/6. Factor k*g**3 + 3/5*g**4 + 0*g + 1/5*g**5 + 0 + 1/5*g**2.
g**2*(g + 1)**3/5
Let h be ((-1)/(-2))/(5/30). Let i be (-1 - h)/((-8)/6). Suppose 3 - 4*z + i*z**5 - 6*z**4 - 3*z**4 + 6*z**2 + 3*z - 8*z + 6*z**3 = 0. Calculate z.
-1, 1
What is n in 23/3*n**3 - 3*n**4 + 20/3 - 11/3*n**2 + 1/3*n**5 - 8*n = 0?
-1, 1, 2, 5
Suppose 72*s**2 + 38*s**4 - 36*s**5 - 16*s**3 - 118*s**4 - 2271 + 52*s + 2279 = 0. Calculate s.
-1, -2/9, 1
Factor 2/23*m + 0 - 2/23*m**2.
-2*m*(m - 1)/23
Let h(i) = -113*i + 116. Let w be h(1). Let g(n) be the second derivative of 0 + 1/19*n**3 + w*n - 1/114*n**4 - 2/19*n**2. Suppose g(d) = 0. What is d?
1, 2
Let r(n) = -33*n**4 + 36*n**3 - 3*n**2 + 18*n. Let s(a) = 161*a - 3*a**3 + 2*a**3 + a**4 - 162*a. Let w(y) = -r(y) - 18*s(y). What is z in w(z) = 0?
0, 1/5, 1
Suppose -8*z = -532 + 20. Factor -64 - 2*p**2 + z + 7*p**2.
5*p**2
Factor 14*o**2 + 5*o**3 - 22*o**3 - 3*o**4 - 8*o**2.
-o**2*(o + 6)*(3*o - 1)
Let j(p) = -10*p**3 - 9*p**2 - 2*p + 9. Let i(o) = o**4 + 30*o**3 + 27*o**2 + 6*o - 24. Let r(s) = 3*i(s) + 8*j(s). Factor r(k).
k*(k + 1)*(k + 2)*(3*k + 1)
Factor 2/9*q**4 + 10/9*q**3 + 0*q + 0 + 4/3*q**2.
2*q**2*(q + 2)*(q + 3)/9
Suppose -14*k + 0 + 70 = 0. Suppose k*n - 13 = 3*u - 2, -5*u = 5*n - 35. Factor -2/5*w**2 + 3/5*w**n + 2/5*w**3 + 1/5*w**5 - 3/5*w - 1/5.
(w - 1)*(w + 1)**4/5
Suppose 35 = 25*r - 65. Let i(x) be the second derivative of 1/42*x**7 - 1/30*x**6 + 1/12*x**r - 1/20*x**5 + 2*x + 0*x**2 + 0*x**3 + 0. Factor i(d).
d**2*(d - 1)**2*(d + 1)
Let f(c) = -c**3 + 70*c**2 - 216*c + 200. Let t(d) = -70*d**2 + 215*d - 200. Let q(w) = 5*f(w) + 4*t(w). Factor q(p).
-5*(p - 10)*(p - 2)**2
Let a = 511/19860 + -3/331. Let r(o) be the second derivative of -1/3*o**2 + 0 + 4*o + 1/18*o**3 - a*o**5 + 1/18*o**4. Find i, given that r(i) = 0.
-1, 1, 2
Let t(w) = -w**2 + 17*w - 25. Let j be t(15). Let y be j/1 - (-11 - -14). Suppose -2/7*l**y + 2/7*l - 2/7*l**3 + 2/7 = 0. What is l?
-1, 1
Let j(t) be the second derivative of 2/5*t**2 + 7/150*t**6 + 8*t - 4/5*t**3 + 43/60*t**4 - 3/10*t**5 + 0. Find l such that j(l) = 0.
2/7, 1, 2
Factor -2/3*a**2 + 0 + 2*a.
-2*a*(a - 3)/3
Factor 0*q**4 + 1/2*q**3 - 1/6*q**5 + 0*q + 1/3*q**2 + 0.
-q**2*(q - 2)*(q + 1)**2/6
Let g = 33541/3 - 11179. Solve -g*o**2 - 4/3 + 8/3*o = 0 for o.
1
Suppose -f - 4 = -2. Let j be f/(-8) - 57/(-12). Factor -4*k**3 - 2*k**5 + k**5 + 5*k**j.
4*k**3*(k - 1)*(k + 1)
Let p(a) = -6*a**3 - 44*a**2 - 5*a + 5. Let y(r) = -21*r**3 - 153*r**2 - 18*r + 18. Let b(g) = -18*p(g) + 5*y(g). What is l in b(l) = 0?
-9, 0
Let u(f) be the second derivative of 3*f**5/5 - 13*f**4/3 - 56*f**3/3 - 24*f**2 + 9*f - 2. Factor u(k).
4*(k - 6)*(k + 1)*(3*k + 2)
Let a = 5319031/90 + -59098. Let x = 1/18 + a. Solve 0 + 18/5*q + 2/5*q**3 + x*q**2 = 0 for q.
-3, 0
Solve -80 + 5/3*d**2 + 40/3*d = 0 for d.
-12, 4
Let z(n) be the first derivative of n**5/8 + 27*n**4/32 + 5*n**3/4 + n**2/2 - 83. Suppose z(h) = 0. Calculate h.
-4, -1, -2/5, 0
Let s(y) = 36*y**4 - 103*y**3 + 79*y**2 - 19. Let m = 79 - 84. Let w(b) = 24*b**4 - 69*b**3 + 53*b**2 - 13. Let t(f) = m*s(f) + 7*w(f). Solve t(n) = 0 for n.
-1/3, 1
Let c(x) be the first derivative of x**5 - 5*x**4/4 - 5*x**3/3 + 5*x**2/2 - 347. Determine g so that c(g) = 0.
-1, 0, 1
Let y(k) be the second derivative of -7*k**5/4 + 445*k**4/12 + 1255*k**3/3 + 340*k**2 + 336*k. Factor y(g).
-5*(g - 17)*(g + 4)*(7*g + 2)
Let b(p) be the third derivative of 2/3*p**3 - 4*p**2 - 1/60*p**6 + 1/12*p**4 + 1/105*p**7 - 1/10*p**5 + 0*p + 0. Find o such that b(o) = 0.
-1, 1, 2
Let z(o) be the first derivative of -4/27*o**3 + 0*o**2 + 4/45*o**5 + 1/27*o**6 + 0*o + 18 - 1/18*o**4. Determine d, given that z(d) = 0.
-2, -1, 0, 1
Let d = 90608/9 + -10062. Factor -22/9*v**2 + 70/9*v - d + 2/9*v**3.
2*(v - 5)**2*(v - 1)/9
Let x = -137 - -136. Let f be (x/2)/((-11)/((-132)/(-30))). Solve -2/5*n - f - 1/5*n**2 = 0 for n.
-1
Find n such that -22/7*n**2 + 0 + 20/7*n**3 + 12/7*n**5 + 0*n + 134/7*n**4 = 0.
-11, -1/2, 0, 1/3
What is r in -4/5*r + 0 - 4/5*r**2 - 1/5*r**3 = 0?
-2, 0
Suppose -c + 18 = -4*d, 4*d = -c - 0*d - 14. Factor -2*f - c*f**2 + 5*f + 4*f - 9*f.
-2*f*(f + 1)
Let s(f) be the first derivative of f**5/150 + f**4/15 - f**3/3 + 21*f**2/2 - 38. Let h(j) be the second derivative of s(j). Factor h(z).
2*(z - 1)*(z + 5)/5
Let h be (2/4)/(7/2). Let u be -3*5/12*48/(-210). Factor -h*y**2 - 3/7*y - u.
-(y + 1)*(y + 2)/7
Determine q, given that 0 + 8/9*q**2 - 8/9*q - 2/9*q**3 = 0.
0, 2
Let x(m) be the second derivative of 1/84*m**4 + 2*m - 2/21*m**3 + 3/14*m**2 + 0. Factor x(c).
(c - 3)*(c - 1)/7
Determine d, given that -45/2*d**3 + 90*d - 10*d**2 + 0 + 5/2*d**4 = 0.
-2, 0, 2, 9
Solve 3/7*o + 3/7 - 3/7*o**2 - 3/7*o**3 = 0.
-1, 1
Let n(b) be the second derivative of -18*b + 7/5*b**5 - 2/3*b**3 - 4/15*b**6 - 2*b**4 + 4*b**2 + 0. Suppose n(o) = 0. What is o?
-1/2, 1, 2
Let j(l) be the first derivative of 13*l**5/30 - 9*l**4/4 + 10*l**3/3 - 2*l**2/3 - 53. Factor j(u).
u*(u - 2)**2*(13*u - 2)/6
Suppose 15*b - 12*b = 6. Factor -5*n**b + 4*n - n**4 - 4*n**3 + 5*n**4 + n**2.
4*n*(n - 1)**2*(n + 1)
Let h(r) be the third derivative of r**7/700 + 23*r**6/1200 + 7*r**5/150 - r**4/20 + 41*r**2. Suppose h(m) = 0. Calculate m.
-6, -2, 0, 1/3
Let r = -113/2 + 3959/70. Let s(v) be the first derivative of -1/14*v**4 - r*v**5 - 7 + 1/7*v**2 + 0*v + 2/21*v**3. Let s(d) = 0. Calculate d.
-1, 0, 1
Let q(x) be the third derivative of x**6/200 + 2*x**5/25 + x**4/8 - 5*x**3 + 83*x**2. Factor q(r).
3*(r - 2)*(r + 5)**2/5
Let s be (94/(-1) + 2)*(-10)/(-8). Let v be (s/(-30) + -4)*-2. Factor 0*n**4 + 2/3*n**2 + 0 + v*n**5 + 0*n - n**3.
n**2*(n - 1)**2*(n + 2)/3
Let w(j) be the third derivative of -1/80*j**5 - 1/896*j**8 + 0*j**3 - 19*j**2 + 0*j**6 + 0 + 1/64*j**4 + 0*j + 1/280*j**7. Find z such that w(z) = 0.
-1, 0, 1
Suppose 10 + 25 = 7*s. Suppose 13 - 15*j - s*j**2 + 2686*j**3 - 5*j**4 - 2671*j**3 - 3 = 0. What is j?
-1, 1, 2
Suppose 0 = -5*k + 5, 3 = -2*o - 2*k + 9. Let m = 54152 + -487346/9. Let -5/9*c**3 - 23/9*c - 2/3 - m*c**o = 0. Calculate c.
-3, -1, -2/5
Factor -1/4*v**4 + 0*v + 1/2*v**2 + 1/4*v**3 + 0.
-v**2*(v - 2)*(v + 1)/4
Let d be 13 + 9*(3 - 148/36). Find r such that -2/5*r**d + 0 - 6/5*r + 8/5*r**2 = 0.
0, 1, 3
Let l(v) be the first derivative of -2*v**5/55 + v**4/11 + 8*v**3/33 - 8*v**2/11 + 3. Factor l(g).
-2*g*(g - 2)**2*(g + 2)/11
Suppose 10*v + 15*v**2 + 385 - 385 + 5*v**3 = 0. Calculate v.
-2, -1, 0
Let m(y) = 3*y - 16. Let a be m(4). Let s be 8/(-12) + a + 6. Factor -s + 2*u**2 - 10/3*u.
2*(u - 2)*(3*u + 1)/3
Let i(h) = -h**2 - 33*h + 1450. Let v be i(25). Determine f, given that 0 + 2/5*f**5 + 0*f + 0*f**2 + v*f**4 - 2/5*f**3 = 0.
-1, 0, 1
Let x(r) be the second derivative of -10*r + 0*r**5 + 0 - 1/30*r**3 - 1/30*r**4 + 0*r**2 + 1/210*r**7 + 1/75*r**6. Let x(j) = 0. What is j?
-1, 0, 1
Let s(l) = -2*l**3 + 10*l + 8. Let g(y) = y**3 - y. Suppose 0 = -3*p + 6*p - 3. Let i = -111 + 109. Let t(w) = i*g(w) + p*s(w). Find d such that t(d) = 0.
-1, 2
Suppose -9*o = -46 + 10. Let c(j) be the second derivative of -3/5*j**2 - 3*j + 3/10*j**3 + 0 - 1/20*j**o. Let c(y) = 0. Calculate y.
1, 2
Suppose -5*j - 2*i = -2, -6*i = j - 2*i + 14. Factor 0*g**j + 0 + 0*g - 2/3*g**4 - 2/3*g**3.
-2*g**3*(g + 1)/3
Let d(p) be the first derivative of -7*p**4/5 - 64*p**3/15 - 8*p**2/5 - 49. Let d(x) = 0. Calculate x.
-2, -2/7, 0
Factor -108192*r**3 + 0*r**5 - 285024*r**3 + 2048*r**4 + 33554432*r**2 - 1073741824*r - 4*r**5.
-4*r*(r - 128)**4
Let s(w) = -8*w**2 + 13*w + 15. Let x(f) = 9*f**2 - 14*f - 15. Let a(z) = 4*s(z) + 3*x(z). Factor a(n).
-5*(n - 3)*(n + 1)
Find o, given that 62/17*o**3 + 10/