 - 53/2*k**2 + 55/2*k**b.
(k - 2)*(k - 1)**3*(5*k - 2)/2
Let a(r) = r**2 - 3*r - 7. Let o be a(5). Let w be -4 - -2 - 1*2*-3. Solve -12*j + 8*j**w + j**4 + 9*j**o - 6*j**4 = 0.
-2, 0, 1
Let v(o) be the third derivative of o**5/160 + 11*o**4/32 - 3*o**3 + o**2 + 58. Factor v(z).
3*(z - 2)*(z + 24)/8
Let x(n) be the first derivative of -3*n**4/4 - 19*n**3/3 + 7*n**2 - 106. Factor x(l).
-l*(l + 7)*(3*l - 2)
Let o(f) = -f**2 - f. Let w(a) = a**3 + 4*a**2 + 4*a**2 - 4*a**2 - 3*a + 0*a. Let x(j) = 3*o(j) - w(j). Factor x(u).
-u**2*(u + 7)
Let x(v) be the second derivative of 0*v**2 - 1/17*v**4 - 3/17*v**3 - 1/170*v**5 + 0 - 23*v. Solve x(g) = 0 for g.
-3, 0
Let t be 10*(222/30 - 7). Let c(f) be the second derivative of 18*f**2 + 0 + 4*f**3 + f + 1/3*f**t. Determine o so that c(o) = 0.
-3
Let g(n) = n**2 - 5*n - 336. Let m be g(-16). Factor -8/3*p**2 + m - 2/3*p**5 - 8/3*p**4 - 2/3*p - 4*p**3.
-2*p*(p + 1)**4/3
Let s(x) be the first derivative of -2*x**3/3 - 286*x**2 - 40898*x + 324. Solve s(f) = 0 for f.
-143
Determine h so that 5*h**2 + h**2 - 9*h - 506*h**3 + 505*h**3 = 0.
0, 3
Let z be 2/(-6)*(-11 - (-5 - -9)). Find t such that -z + 10*t + 17 - 6*t**2 + 4*t + 7*t = 0.
-1/2, 4
Find b such that 7/2*b**2 + 0 - 3*b - 1/2*b**3 = 0.
0, 1, 6
Suppose -12*o = -10*o + 42*o. Factor 2/9*s**3 + o + 1/9*s + 1/3*s**2.
s*(s + 1)*(2*s + 1)/9
Factor 0*a**2 - 6*a + 2/3*a**3 + 0.
2*a*(a - 3)*(a + 3)/3
Suppose 2*s - 4 = 4*s - 4*g, 0 = -9*g + 9. Suppose 0*p**4 + 0*p**2 + 2/7*p**3 + 0 + s*p - 2/7*p**5 = 0. What is p?
-1, 0, 1
Let g(j) = 2*j**3 - 10*j**2 + 2. Suppose -3*r - r = -o + 14, -2 = -3*o + 2*r. Let n(h) = h**3 - h**2 - 1. Let m(c) = o*n(c) - g(c). Suppose m(z) = 0. What is z?
0, 3
Suppose 34 = -3*t + 226. Suppose -t = 4*m - 20. Let o(p) = 5*p**2 + 13*p - 29. Let z(n) = 3*n**2 + 6*n - 15. Let d(q) = m*z(q) + 6*o(q). Solve d(a) = 0.
1, 3
Suppose 7*q - 14 = 5*q + 2*d, q = 3*d + 15. Let u(r) be the first derivative of -1/3*r**q + 0*r - 1/8*r**4 + 6 - 1/4*r**2. Factor u(f).
-f*(f + 1)**2/2
Let g be (2 - 1)/(-2 + 0 - -3). Let y be (-104)/28 + g + 3. Factor 0 - 2/7*z**4 + 2/7*z**5 - y*z**3 + 0*z + 2/7*z**2.
2*z**2*(z - 1)**2*(z + 1)/7
Suppose s = -s + 24. Suppose -3*z = -t - 18 - s, -5*t + 3 = 2*z. Factor -3*u**5 + 9*u + 3 + z*u**4 - 6 - 7*u**3 - 6*u**2 + u**3 + 0*u**5.
-3*(u - 1)**4*(u + 1)
Let u(s) be the first derivative of s**4/20 - 4*s**3/5 + 24*s**2/5 - 64*s/5 + 34. Suppose u(q) = 0. Calculate q.
4
Let 0 + 0 + 270*s - 10707*s**2 + 10704*s**2 = 0. Calculate s.
0, 90
Suppose -141/2*f + 27*f**2 + 45 - 3/2*f**3 = 0. What is f?
1, 2, 15
Determine l, given that -10*l**3 + 730*l**2 + 558*l + l**3 + 2*l**3 + 167*l + 12*l**3 = 0.
-145, -1, 0
Suppose 2*z - 4*j - 40 = 0, -2*j - j = 5*z - 87. Suppose 18 - 5*s**2 - 15*s - z - 10 = 0. What is s?
-2, -1
Factor 33*z - 65*z + 3*z**2 + 422*z + 12675.
3*(z + 65)**2
Let y(d) = 4*d - 24. Let s be y(10). Factor -283*v + s*v**2 + 307*v + 4*v**2 + 4*v**3.
4*v*(v + 2)*(v + 3)
Let m be (1 + 0)/((-5)/(-20)). Let r = -3/70 + 79/210. Factor 2/3*y + r - 1/3*y**m - 2/3*y**3 + 0*y**2.
-(y - 1)*(y + 1)**3/3
Let w = -949/345 - -245/69. Factor 6/5*x**3 - 6/5*x - w + 2/5*x**4 + 2/5*x**2.
2*(x - 1)*(x + 1)**2*(x + 2)/5
Let c = -46 - -139/3. Let w(j) be the third derivative of -8*j**2 + 0*j + c*j**3 + 0 - 1/8*j**4 + 1/60*j**5. Factor w(g).
(g - 2)*(g - 1)
Factor -37 - 38*r**2 - 63 + 116*r - 11*r + 33*r**2.
-5*(r - 20)*(r - 1)
Let g(k) = k**5 + k**4 - k**2 - k. Let i(z) = -z**5 + z**4 - z**2 - z. Let f(u) = -u - 7. Let o be f(-8). Let j(l) = o*i(l) - g(l). Factor j(y).
-2*y**5
Let f(l) be the third derivative of -7/48*l**4 - 1/105*l**7 - l**2 + 1/4*l**3 + 1/120*l**5 + 7/240*l**6 + 0*l + 0. Find v, given that f(v) = 0.
-1, 3/4, 1
Determine l so that 13*l - 116*l - 80*l + 5*l**2 - 7*l + 20*l = 0.
0, 34
Factor -5*h - 2*h + 3*h + 10417*h**3 - 10418*h**3 - 5*h**2.
-h*(h + 1)*(h + 4)
Let u(o) be the second derivative of o**4/30 + 7*o**3/15 + 2*o**2 + 2*o - 15. Factor u(a).
2*(a + 2)*(a + 5)/5
Let c(v) be the second derivative of 40*v**5/9 + 340*v**4/27 - 77*v**3/9 + 2*v**2 - 193*v. Determine g so that c(g) = 0.
-2, 3/20
Let q be 2*(0/10 - 6/(-2)). Suppose -4 = b + 2*r, -q*b + 5*r = -b - 10. Factor 1/5*y - 1/5*y**4 + b - 3/5*y**2 + 3/5*y**3.
-y*(y - 1)**3/5
Factor 13053 - 3*n**3 - 10*n**2 + 103*n**2 - 13146 + 3*n.
-3*(n - 31)*(n - 1)*(n + 1)
Let a(t) = -t + t**2 + 64 - 64. Let d be a(-1). Factor 3*j**2 - j**3 + 3*j**d + j - 6*j**2.
-j*(j - 1)*(j + 1)
Let m(z) be the third derivative of 1/735*z**7 + 0*z**4 + 0 - 22*z**2 + 0*z**3 + 0*z**5 + 0*z + 0*z**6. Solve m(f) = 0.
0
Suppose 0 = -5*w + 7*w - 10. What is g in w*g**3 - 6*g**4 - 6*g**5 - g**2 + 11*g**4 - 4*g**2 + g**5 = 0?
-1, 0, 1
Let k = 29 + -27. Suppose 8*p**4 + 2*p**5 + 6*p**2 + 2*p**2 + 15*p**3 - 3*p**3 + k*p = 0. Calculate p.
-1, 0
Let o be (-29)/(-9) - (-6)/(-27). Let l be 1/((-2)/(-18)*o). Suppose -3/4*r**2 + 129/4*r**4 + 3/2*r - 18*r**l + 0 - 15*r**5 = 0. Calculate r.
-1/4, 0, 2/5, 1
Let h = 16 - 13. Factor 26 - 10 - 4*o**h + 8*o - 16 + 4*o**2.
-4*o*(o - 2)*(o + 1)
Suppose 2*g + 2 = 0, -w + 8 = -2*g - 2*g. Factor f**3 - w*f**4 - 9*f**4 + 14*f**4.
f**3*(f + 1)
Let y be (2/(-8))/((-20)/160). Suppose -h = -y*h - 5*b + 15, -6 = -5*h - 2*b. Factor -8/7*c**2 + 4/7*c + 0*c**3 + h - 4/7*c**5 + 8/7*c**4.
-4*c*(c - 1)**3*(c + 1)/7
Let a = -1265 - -1265. Let h(i) be the second derivative of 14*i + 0 + a*i**2 + 2/9*i**4 + 0*i**3 + 2/45*i**6 - 1/5*i**5. What is w in h(w) = 0?
0, 1, 2
Let h be 2 + 0/(-1) - 1. Let y be h - 1/(-2 + 3). Factor 2*z**2 - 4*z - z**2 + y*z**2 - 4*z**2 - 1.
-(z + 1)*(3*z + 1)
Let h(s) be the second derivative of -s**6/10 + 6*s**4 + 32*s**3 + 72*s**2 + 14*s - 5. Factor h(w).
-3*(w - 6)*(w + 2)**3
Let s(a) be the third derivative of a**7/7560 + a**6/540 + a**5/90 - a**4/6 + 3*a**2. Let x(i) be the second derivative of s(i). Factor x(j).
(j + 2)**2/3
Solve 12/5*k**2 + 18/5*k + 3/5*k**4 - 3 - 18/5*k**3 = 0 for k.
-1, 1, 5
Let f(o) be the first derivative of o**4/2 + 22*o**3 + 360*o**2 + 2592*o - 664. Let f(r) = 0. What is r?
-12, -9
Let z(k) = -3*k**3 + k**2 + 4*k + 5. Let r be z(-2). Solve -5 - r*d + 7*d + 10*d**2 + 5*d**2 + 8 = 0 for d.
1/5, 1
Let i(j) be the third derivative of j**9/45360 - j**8/5040 + j**7/1890 - 37*j**4/24 - 36*j**2. Let f(q) be the second derivative of i(q). Factor f(a).
a**2*(a - 2)**2/3
Factor 5394*r + 15138*r + 4335 - 14427 - 3*r**4 - 10791*r**2 + 354*r**3.
-3*(r - 58)**2*(r - 1)**2
Factor 0*z**2 - 1/5*z**3 + 0*z + 0.
-z**3/5
Let p = 62 + -52. Determine i, given that 20 - 40*i**2 + 20*i + 24*i**2 + 5*i**4 + i**2 - p*i**3 = 0.
-1, 2
Let h(p) = 6*p**3 + 6*p**2 - 5*p - 10. Let m(j) = j**3 + 2*j**2 - j - 2. Let d(c) = -h(c) + 5*m(c). Factor d(g).
-g**2*(g - 4)
Let z(i) be the third derivative of 8/945*i**7 + 0*i**3 + 0*i**5 - 1/540*i**6 + 0*i - 2/189*i**8 + 20*i**2 + 0 + 0*i**4. Factor z(s).
-2*s**3*(4*s - 1)**2/9
Let r be (12/10)/((-1)/5*-2). Let c(s) be the second derivative of -5/72*s**4 - 1/180*s**6 - 1/30*s**5 - 1/18*s**r + 6*s + 0 + 0*s**2. Factor c(y).
-y*(y + 1)**2*(y + 2)/6
Let h(x) be the first derivative of -3*x**5/4 - 25*x**4/6 - 15*x**3/2 - 5*x**2 + 14*x - 19. Let y(n) be the first derivative of h(n). Solve y(r) = 0.
-2, -1, -1/3
Solve 55*x**2 - 125/4*x**3 - 3/4*x**5 - 43*x + 12 + 8*x**4 = 0 for x.
2/3, 1, 2, 3, 4
Factor 0*x - 4/7*x**5 + 0*x**2 - 12/7*x**4 + 0 + 16/7*x**3.
-4*x**3*(x - 1)*(x + 4)/7
Let y(s) be the second derivative of s**6/150 - s**5/25 + s**4/30 + 2*s**3/15 - 3*s**2/10 - 4*s - 18. Factor y(c).
(c - 3)*(c - 1)**2*(c + 1)/5
Let p = -28 - -32. Find f such that -f - 5*f + p*f**4 - 4*f**2 + 4*f**3 + 2*f = 0.
-1, 0, 1
Let j(y) be the second derivative of y**6/120 - 3*y**5/40 - 3*y**4/16 + 7*y**3/12 - y + 38. Factor j(t).
t*(t - 7)*(t - 1)*(t + 2)/4
Let t = 977/3 - 1951/6. Factor -t*l**2 - l - 1/2.
-(l + 1)**2/2
Let y(c) = -11*c**3 + 6*c**3 + 2 + 13*c**2 + 3*c**3 - 6*c. Let l be y(6). Suppose -8/9 - 16/9*h + l*h**3 + 2/3*h**2 = 0. Calculate h.
-2/3, 1
Factor 177*q**4 + 58361*q - 172*q**4 + 420*q**3 + 51399*q + 6020*q**2 + 5740*q**2.
5*q*(q + 28)**3
Let k = -5511 - -55193/10. Let i = -39/5 + k. Determine c so that 1/2 - 1/2*c**2 - 1/2*c**3 + i*c = 0.
-1, 1
Solve 9*m - 12*m + 33*m**2 - 6*m**3 - 11*m + 18 + m - 38*m = 0.
1/2, 2, 3
Let k = -20