-5)/175)/(17/340*28). Determine m, given that -2/7 - 2/7*m**3 + c*m**2 + 2/7*m = 0.
-1, 1
Let w = 128329566/306715 + -2/61343. Let p = -418 + w. Factor -p*j - 2/5*j**2 + 12/5.
-2*(j - 2)*(j + 3)/5
Let j(g) be the second derivative of 11/6*g**3 - 37*g + 0 + 7/12*g**4 - 3/10*g**5 - g**2. Let j(r) = 0. Calculate r.
-1, 1/6, 2
Let h be -16*((-13)/10 + 1). Let b = 215732 + -215728. Factor -4/5*l**3 - 8/5*l**2 + b*l + h.
-4*(l - 2)*(l + 1)*(l + 3)/5
Solve 10/11*q**2 + 240/11 - 604/11*q = 0 for q.
2/5, 60
Factor -10*o**3 + 4845*o - 3*o**3 - 2426*o + 44*o**2 - 4*o**4 - 2347*o - 19*o**3.
-4*o*(o - 2)*(o + 1)*(o + 9)
Suppose 8*t + 23*t + 217 = 0. Let b be 3 - t/14*0. Solve -1/2*m**b + 0 + 0*m - m**2 = 0 for m.
-2, 0
Let c be (-4)/54 - 440/(-108). Solve 35*z**c + 16*z**3 + 55*z**4 - 118*z**4 = 0 for z.
0, 4/7
Let h be -9 + (-4230)/(-480) - (-218)/480. Factor 2/15 + 2/15*m**2 - h*m.
2*(m - 1)**2/15
Let m be (-32312)/(-88) - (-2 + 24/11). Factor 375*o**2 - 28*o**3 + m*o**2 - 750*o**2.
-4*o**2*(7*o + 2)
Let k(u) = u**3 + 62*u**2 - 69*u - 370. Let l be k(-63). Let v(a) be the first derivative of l + 50*a + 1/6*a**3 + 5*a**2. Factor v(h).
(h + 10)**2/2
Let z be (-2 - 11/(-6))*(-2511)/1116. Let g(v) be the second derivative of 7/24*v**3 + z*v**2 + 0 + 1/80*v**5 + 5/48*v**4 + v. Determine r, given that g(r) = 0.
-3, -1
Determine b so that -39200 - 63839*b - 3*b**3 + 43119*b - b**3 - 568*b**2 = 0.
-70, -2
Let l(w) be the first derivative of w**5/15 - 43*w**4/12 + 151*w**3/9 + 65*w**2/2 + 5706. Solve l(s) = 0 for s.
-1, 0, 5, 39
Let j = -35 + 44. Let f(t) = -t**2 + 11*t - 10. Let w be f(j). Factor 12*x**3 - w*x**4 - 5*x**2 + 0*x**4 + 0*x**4 + x**2.
-4*x**2*(x - 1)*(2*x - 1)
Let 6/5*s**4 + 0*s + 0 + 8/5*s**3 - 2/5*s**5 + 0*s**2 = 0. Calculate s.
-1, 0, 4
Let v(q) be the third derivative of -q**2 + 0*q + 1/16*q**4 - 172 + 5/24*q**3 + 1/240*q**5. Factor v(o).
(o + 1)*(o + 5)/4
Suppose 10*f + g = 15*f + 5, -5*f = g - 5. Suppose -2 = -4*l - u - 2*u, 4*l = 5*u + 18. Factor -20*v + 10 - l - 28*v**2 + f.
-4*(v + 1)*(7*v - 2)
Let y(t) be the first derivative of 6*t**5/5 - 17*t**4/2 - 58*t**3/3 + 5*t**2 + 28*t + 747. Factor y(g).
2*(g - 7)*(g + 1)**2*(3*g - 2)
Let z(i) be the third derivative of 7/5*i**3 + 0*i + 1/100*i**5 + 0 - 22*i**2 + 9/40*i**4. Factor z(a).
3*(a + 2)*(a + 7)/5
Factor -2725 + 3405 - 1030*s - 15*s**2 - 1005*s.
-5*(s + 136)*(3*s - 1)
Let r(v) be the second derivative of 10*v**2 - 2/3*v**3 - 6 + 1/60*v**4 - 11*v. Factor r(f).
(f - 10)**2/5
Let p be (((-2070)/294 + 7)/((-1)/(-7)))/(3/(-406)). Suppose 18*h - p + 2/3*h**2 = 0. Calculate h.
-29, 2
Let p(d) be the second derivative of d**6/900 - 7*d**5/150 - d**4/180 + 7*d**3/15 + 17*d**2 + 133*d. Let q(h) be the first derivative of p(h). Factor q(z).
2*(z - 21)*(z - 1)*(z + 1)/15
Let w(b) be the second derivative of b**4/3 + 388*b**3/3 + 226*b. Factor w(c).
4*c*(c + 194)
Let x = 5761 + -103697/18. Let g(c) be the third derivative of 1/180*c**5 - 16*c**2 - 1/144*c**4 + 0*c + 1/720*c**6 - x*c**3 + 0. Suppose g(h) = 0. Calculate h.
-2, -1, 1
Let j be 92/(-8) - (947 + -975). Factor -1/3*a + 0 - j*a**2.
-a*(99*a + 2)/6
Let t(n) = -n**3 - 14*n**2 - 47*n + 11. Let j be t(-7). Let b be -2 - (j + (4 - 3)). Solve b - 1/5*d - 1/5*d**4 + 1/5*d**2 + 1/5*d**3 = 0.
-1, 0, 1
Factor -738 - 159/2*a - 3/2*a**2.
-3*(a + 12)*(a + 41)/2
Suppose 10*z - 1969 = 4*k + 5*z, 5*z = -k - 461. Let q = 486 + k. What is i in 0*i + 0*i**3 + q - 1/2*i**4 - 1/2*i**5 + 0*i**2 = 0?
-1, 0
Factor 19*f**3 + 49 - 170*f**2 + 304*f - 2*f**3 - 2*f**3 + 7*f**3 + 47.
2*(f - 4)**2*(11*f + 3)
Let f(a) be the second derivative of -a**4/18 - 29*a**3/3 + 178*a**2/3 + 2680*a. Solve f(s) = 0.
-89, 2
Find g such that -136/3*g + 2/3*g**2 + 88 = 0.
2, 66
Let p be (2 - 4)/(1/(-2)). Suppose 36 = 4*x - p*f, 3*f + 17 = 4*x - 18. Factor x*d**2 - 2*d**2 + 26*d**2 - 10*d**3 + 14*d**3.
4*d**2*(d + 8)
Suppose -15*i = 8*i - 46. Determine j so that 6*j - j - 3*j - 2*j**i + 2*j = 0.
0, 2
Determine u, given that 14/3*u + 0 + 2/9*u**2 = 0.
-21, 0
Let a(v) be the second derivative of v**6/360 - v**5/30 + v**4/6 - 4*v**3/9 + 31*v**2/2 + 49*v + 2. Let l(y) be the first derivative of a(y). Factor l(m).
(m - 2)**3/3
Let h(j) be the third derivative of -j**8/2940 - 8*j**7/735 - j**6/42 + 41*j**3/6 - j**2 + 105. Let z(l) be the first derivative of h(l). Solve z(n) = 0.
-15, -1, 0
Let v be (2/(-2))/(-4*(-9)/(-540)). Determine r, given that 2 - 6*r - 22*r**2 - v*r**4 + 12*r**4 + 34*r**2 - 11 + 6*r**3 = 0.
-1, 1, 3
Let -7307*b**2 - 8809*b**2 - 8*b + 0 + 0 = 0. What is b?
-2/4029, 0
Let m(w) be the first derivative of w**6/33 + 6*w**5/55 - 5*w**4/11 - 1003. Factor m(r).
2*r**3*(r - 2)*(r + 5)/11
Suppose 2*y + 2 = -0*s - 4*s, -3*s = 4*y + 4. Let v = 98788 + -296324/3. Factor 5*g - 5/3*g**5 + v*g**2 + 10*g**3 + s*g**4 + 0.
-5*g*(g - 3)*(g + 1)**3/3
Solve -148 + 445/3*v - 1/3*v**2 = 0 for v.
1, 444
Suppose -2*p = -5*k - 12, 2*p - 23 = 2*k - 11. Let q(t) be the second derivative of 4*t + 3/4*t**2 + k - 7/16*t**4 - 5/8*t**3. Factor q(f).
-3*(f + 1)*(7*f - 2)/4
Let r(c) be the second derivative of c**7/840 + 19*c**6/240 - c**4/4 + c**2 - c - 8. Let t(p) be the third derivative of r(p). Find g such that t(g) = 0.
-19, 0
Let r be ((25/10)/5)/((-3)/6). Let q(y) = 3*y**4 + 8*y**3 - 60*y**2 - 200*y - 158. Let v(a) = -a**4 - a**3 + 1. Let x(u) = r*q(u) + 2*v(u). Factor x(d).
-5*(d - 4)*(d + 2)**3
Let d(t) be the second derivative of 2*t**6/225 + 7*t**5/150 - 14*t**4/45 + 4*t**3/15 + 121*t + 18. Suppose d(m) = 0. Calculate m.
-6, 0, 1/2, 2
Let n(g) be the third derivative of 1/60*g**5 + 0*g**3 + 0*g + 13 + 1/8*g**4 + 2*g**2. Determine i, given that n(i) = 0.
-3, 0
Let a(h) be the third derivative of h**5/12 + 175*h**4/8 - 535*h**3/3 - 4*h**2 - 13*h + 6. Factor a(r).
5*(r - 2)*(r + 107)
Let b(t) = -24*t**2 + t - 38. Let d be b(-5). Let f = d - -645. Factor 8/5*s - 2/5*s**f - 6/5.
-2*(s - 3)*(s - 1)/5
Let f(y) be the third derivative of y**5/30 + 61*y**4/3 - 31*y**2 - 4. Let f(j) = 0. Calculate j.
-244, 0
Let v(j) be the third derivative of j**8/1260 - j**7/20 - 4*j**6/45 - 13*j**5/12 + j**4/24 + 13*j**2 + j. Let h(k) be the third derivative of v(k). Factor h(s).
4*(s - 16)*(4*s + 1)
Let y(j) = j**3 + 14*j**2 + 1. Let d be y(-14). Let k be 49/210*6 - d. Determine x so that 0 + k*x**4 + 0*x**2 + 0*x + 0*x**3 - 2/5*x**5 = 0.
0, 1
Let k(m) = -m**2 + 6*m + 2. Let p be k(6). Let a = 10998 - 10989. Suppose -111*w - a + 47 + 121*w**2 - p - 21*w = 0. What is w?
6/11
Let v(a) be the second derivative of 49*a**6/30 - 7*a**5/2 - 199*a**4/12 - 46*a**3/3 - 6*a**2 - 127*a + 2. Determine z, given that v(z) = 0.
-1, -2/7, 3
Let n(b) = -b**2 + b - 35. Let a(y) = 4*y**2 - 28*y + 55. Let p(f) = a(f) + 5*n(f). Find w, given that p(w) = 0.
-15, -8
Suppose 9*f - 4*f = -4*a - 8, 4*f = 5*a + 10. Let q(r) be the second derivative of f - 1/190*r**5 + 0*r**3 + 0*r**2 + 2/57*r**4 - 7*r. Let q(k) = 0. What is k?
0, 4
Suppose -3546 - 5*u**5 + 5095*u**3 + 10300*u + 16969*u**4 - 17799*u**4 + 106 - 11120*u**2 = 0. Calculate u.
-172, 1, 2
Let d(w) = -6*w**3 + 119*w**2 + 366*w + 164. Let q(z) = -2*z**3 + 38*z**2 + 122*z + 54. Let t(g) = 4*d(g) - 11*q(g). Determine y so that t(y) = 0.
-1, 31
Suppose 2*n = 2*o - 12, 0*o + 5*n + 24 = 2*o. Find r, given that -200*r**4 + 135*r**3 - 272*r**5 - 62*r**5 - 10*r**o - 11*r**5 = 0.
-1, 0, 2/23, 1/3
Let t(m) be the first derivative of m**3/27 - 16*m**2/3 + 247*m + 8847. Determine u so that t(u) = 0.
39, 57
Let s = -31 - -44. Suppose 0 = 2*k - 2, s = -0*h + 3*h + 4*k. Suppose 11*o**h + o - 27*o**2 + 13*o + 4*o + o**3 - 3 = 0. Calculate o.
1/4, 1
Let o(u) be the first derivative of 2*u**5/35 - 275*u**4/7 + 147914*u**3/21 + 458700*u**2/7 + 1391112*u/7 - 12410. Factor o(p).
2*(p - 278)**2*(p + 3)**2/7
Let v(g) be the second derivative of 9*g**5/20 + 239*g**4/2 - 646*g**3 + 972*g**2 + 2*g + 321. Find i such that v(i) = 0.
-162, 2/3, 2
Factor 2245/3*t**2 - 4/9*t**3 - 708964/9 - 314908*t.
-(t - 842)**2*(4*t + 1)/9
Let h = -19700 + 19703. Let b(l) be the first derivative of -13 - 1/30*l**6 + 1/20*l**4 + 0*l**h + 0*l + 0*l**5 + 0*l**2. Determine m, given that b(m) = 0.
-1, 0, 1
Let t(d) be the second derivative of -d**6/10 + 51*d**5/20 - 59*d**4/4 - 17*d**3/2 + 90*d**2 + 2063*d. Solve t(l) = 0.
-1, 1, 5, 