506 + -470. Suppose -5*r - 21 + o = 0. Factor -18*z - 27/4*z**2 - 12 - 3/4*z**r.
-3*(z + 1)*(z + 4)**2/4
Determine u, given that -165*u**2 - 977*u + 11*u**4 + 175*u**3 - 623*u + 6*u**4 - 1255*u**2 - 22*u**4 = 0.
-1, 0, 16, 20
Find k, given that -26/3*k - 359/3*k**2 + 91/3*k**3 + 8 = 0.
-2/7, 3/13, 4
Let l(h) be the first derivative of h**6/6 + 2*h**5/5 - 11*h**4 - 70*h**3/3 + 475*h**2/2 + 500*h + 362. Suppose l(u) = 0. What is u?
-5, -1, 4, 5
Let f(n) = -42*n**2 + 30*n + 192. Let t(p) = 5*p**2 + p - 1. Let g(w) = -f(w) - 8*t(w). Factor g(l).
2*(l - 23)*(l + 4)
Let v be (-2 - 1)*(-2 - (-12)/9). Find x, given that -x**5 + 3*x**4 - 5*x**v + x**4 - 3*x**3 - 2*x**4 + 6*x**2 + x**4 = 0.
0, 1
Let g = -666 + 674. Let q(u) = -u**3 - 2*u**2 - 1. Let x(z) = -6*z**3 + 118*z**2 + 2310*z + 2170. Let h(p) = g*q(p) - x(p). What is f in h(f) = 0?
-33, -1
Let p(m) be the second derivative of -m**4/48 - 137*m**3/3 - 37538*m**2 + 2*m + 984. Let p(l) = 0. Calculate l.
-548
Let s(x) be the first derivative of -x**6/96 + x**5/8 + 3*x**2 + 5*x - 1. Let i(d) be the second derivative of s(d). Let i(q) = 0. Calculate q.
0, 6
Let d = -625 + 632. Factor 12*v - 5*v**5 + 5 + 10*v**2 + d*v**5 - 3 - 14*v**3 - 10*v**4 - 2.
2*v*(v - 6)*(v - 1)*(v + 1)**2
Find d such that -12375*d - 408*d**2 - 4*d**3 - 13153*d + 17464*d - 44928 = 0.
-78, -12
Let v(i) be the second derivative of -i**6/30 + 11*i**5/100 + 13*i**4/60 - i**3/10 + 508*i + 1. Factor v(f).
-f*(f - 3)*(f + 1)*(5*f - 1)/5
Let s(j) be the third derivative of -7*j**2 - 1/280*j**6 + 0*j**3 - 1/14*j**5 + 0 - 3*j - 2/7*j**4. Factor s(h).
-3*h*(h + 2)*(h + 8)/7
Let a = -712241/7 - -101749. Determine x so that 40/7*x + a*x**3 + 16/7*x**2 + 32/7 = 0.
-4, -2
Let k(o) be the first derivative of 0*o - 14/39*o**3 - 128 + 2/13*o**2 + 3/26*o**4. Solve k(c) = 0 for c.
0, 1/3, 2
Let h be -4*(-171)/(-432) - -2. Let d(l) be the second derivative of 0 - 3/2*l**2 + 7/6*l**3 + l - h*l**4 + 1/20*l**5. Let d(z) = 0. What is z?
1, 3
Suppose -17*d + 18*d = 2. Find q, given that 993*q + q**2 + 0*q**d - 995*q = 0.
0, 2
Let c(k) be the third derivative of -k**7/195 + 79*k**6/390 + 19*k**5/30 - 79*k**4/78 - 80*k**3/13 + 6340*k**2 - 2*k. Solve c(y) = 0 for y.
-10/7, -1, 1, 24
Factor 204 - 100879*s**3 + 56856*s**2 - 60 - 4960*s - 13394*s**4 + 1227*s**4 - 114953*s**3.
-(s + 18)*(23*s - 2)**3
Let v(n) be the first derivative of -3*n**4/4 + 47*n**3 - 1044*n**2 + 9936*n - 8195. Suppose v(u) = 0. Calculate u.
12, 23
Let j = 1225 + -1225. Let q(i) be the first derivative of -10 + i**3 - 3/4*i**4 + 0*i + j*i**2. Factor q(r).
-3*r**2*(r - 1)
Let l(c) be the second derivative of -8*c + 0*c**2 + 1 - 1/50*c**5 - 7/30*c**4 - 2/5*c**3. Suppose l(u) = 0. Calculate u.
-6, -1, 0
Let m = -121 + 123. Find l such that 19*l**4 - 98 - 33*l**3 + l**3 - 21*l**4 - 282*l - 156*l**m + 58*l = 0.
-7, -1
Let r(s) be the second derivative of 26*s - 36*s**2 - 1/30*s**5 - 5/6*s**4 - 8*s**3 + 0. Factor r(t).
-2*(t + 3)*(t + 6)**2/3
Solve 920 - 99*a - 816*a + 1601830*a**2 - 1601835*a**2 = 0.
-184, 1
Let i(a) be the first derivative of -17*a**5/12 + 95*a**4/24 - 5*a**3/3 + 34*a**2 - 70. Let l(h) be the second derivative of i(h). What is b in l(b) = 0?
2/17, 1
Suppose 30000 + 29*a**2 + 12255*a - 14055*a - 74*a**2 + 3*a**3 = 0. What is a?
-25, 20
Let w(i) be the first derivative of i**3/3 - 401*i**2/2 - 2030*i - 7647. Factor w(c).
(c - 406)*(c + 5)
Let w(m) = 10121*m - 10148*m - 133 - m**2 + 43. Let l be w(-23). Factor 12/7*d**l + 6/7 + 27/7*d.
3*(d + 2)*(4*d + 1)/7
Let t(b) be the second derivative of -2/85*b**5 + 1 + 16*b - 1/17*b**4 - 1/255*b**6 - 1/17*b**2 - 4/51*b**3. Factor t(a).
-2*(a + 1)**4/17
Let x(h) be the first derivative of 53/10*h**4 + 4/5*h**2 + 33 - 56/15*h**3 + 0*h + 3/5*h**6 - 76/25*h**5. Determine r so that x(r) = 0.
0, 2/9, 1, 2
Suppose 18*h - 46*h = -1064. Suppose -3*i**3 + 42 + 12*i - 80 + h = 0. Calculate i.
-2, 0, 2
Let w = -1765319095/2046473 - -1/2046473. Let z = -862 - w. Determine r, given that 4/13*r + 18/13*r**4 + 0 - z*r**5 - 18/13*r**2 + 4/13*r**3 = 0.
-1, 0, 1/4, 1, 2
Suppose -446*n - 68 = -463*n. Suppose 12 = -n*l, -5*r + 21*l - 24*l = 9. Solve r*b + 0*b**3 + 2/3 + 2/3*b**4 - 4/3*b**2 = 0.
-1, 1
Let -2/13*a**2 + 256/13 - 124/13*a = 0. Calculate a.
-64, 2
Let w be (-2)/(-3)*(-7)/(-21)*18. Solve 17*n**w - n**4 - n**5 + 5*n**5 - 4*n - 2*n**4 + 12*n**3 - 2*n**2 = 0.
-2, -1, 0, 1/2
Determine r so that -240*r - 52*r**2 + 345*r - 8*r**5 - 20 - 183*r + 72*r**4 + 86*r**3 = 0.
-1, -1/2, 1, 10
Let z be 1130/2825*(-10)/(-2). Factor -12*i + 4/3*i**z + 56/3.
4*(i - 7)*(i - 2)/3
Factor -3*i**3 + 0*i**3 + 101*i**2 + 74*i + 101*i**2 + 96*i - 7*i**3 - 42.
-2*(i - 21)*(i + 1)*(5*i - 1)
Let u(k) = -16*k**4 - 40*k**3 - 121*k**2 - 120*k - 45. Let i(z) = 3*z**4 + 8*z**3 + 24*z**2 + 24*z + 9. Let b(o) = 22*i(o) + 4*u(o). Factor b(m).
2*(m + 1)**2*(m + 3)**2
Solve 1/6 + 29/6*m**2 - 5*m = 0 for m.
1/29, 1
Suppose 4*s + 61 = 73. Factor -112 + s*b**3 + 55 - 9*b**2 + 66 - 3*b.
3*(b - 3)*(b - 1)*(b + 1)
Let j(s) be the first derivative of s**5/20 - 33*s**4/16 + 107*s**3/4 - 403*s**2/8 - 2535*s/2 - 3999. Factor j(d).
(d - 13)**2*(d - 10)*(d + 3)/4
Suppose 5*l + 5*z + 11 = 61, 0 = -3*l + 5*z - 26. Factor 2/5*n**l - 12/5 + 4/5*n**2 - 2*n.
2*(n - 2)*(n + 1)*(n + 3)/5
Let o(a) = -25*a - 56. Let d be o(-16). Find p, given that 6*p + 2*p**3 + 4*p**2 - 4*p**3 - d + 344 = 0.
-1, 0, 3
Let d(j) be the first derivative of -83 - 2/21*j**3 + 13/14*j**2 - 1/28*j**4 - 10/7*j. Suppose d(z) = 0. Calculate z.
-5, 1, 2
Let v(b) be the third derivative of b**6/24 + 7*b**5/12 - 1225*b**4/24 + 1715*b**3/2 - 834*b**2. Find m, given that v(m) = 0.
-21, 7
Let f be (-2)/(-10)*31410/7329. Suppose -1/7*s**2 + 1 - f*s = 0. What is s?
-7, 1
Let v(d) be the third derivative of d**8/20160 + d**7/15120 + 2*d**5/5 - 94*d**2. Let l(q) be the third derivative of v(q). Factor l(j).
j*(3*j + 1)/3
Let f be (-20)/(-70)*7*2. Factor 4*b - 9 - f*b**2 + 5*b**3 - 8*b**2 + 9.
b*(b - 2)*(5*b - 2)
Let c(m) be the third derivative of 0*m**3 + 0 + 2/39*m**4 - 2*m**2 + 1/728*m**8 - 7/260*m**6 + 3/65*m**5 - 8/1365*m**7 - 46*m. Let c(n) = 0. What is n?
-2, -1/3, 0, 1, 4
Suppose -l + 3*a + 42 = 57, 0 = 2*l + 9*a - 45. Let j(m) be the third derivative of 0 - 1/330*m**5 - 1/11*m**3 - 2*m**2 - 1/33*m**4 + l*m. Factor j(h).
-2*(h + 1)*(h + 3)/11
Let l = -3915 - -3915. Let v(r) be the third derivative of 17/24*r**6 + l*r**4 + 0*r**3 + 0*r + 26*r**2 - 5/42*r**7 + 0 - 1/2*r**5. Factor v(a).
-5*a**2*(a - 3)*(5*a - 2)
Let g = 8 + -52. Let a = -42 - g. Factor -3*m**4 - 9*m**4 + 19*m**4 - 2*m**a - 5*m**4.
2*m**2*(m - 1)*(m + 1)
Let w(f) = 55*f - 16. Let l be w(4). Factor -t**5 + 198*t - 17*t**4 - l*t + 3*t**5 + 8*t**4 + 8*t**2 + t**4 + 4*t**3.
2*t*(t - 3)*(t - 1)**2*(t + 1)
Suppose 2*z + 2*z = 8. Suppose 0 = -3*c, -5*c + 4 = z*s - 0. Solve 44*n**s - 83*n**2 - n**3 + 41*n**2 = 0 for n.
0, 2
Let q(o) be the third derivative of 0 + 5/63*o**7 + 0*o + 215*o**2 + 23/30*o**5 + 7/9*o**4 + 7/18*o**6 + 4/9*o**3. Factor q(p).
2*(p + 1)**2*(5*p + 2)**2/3
Let f(s) be the second derivative of -155*s + 5/9*s**6 - 68/9*s**4 - 31/6*s**5 + 0*s**2 - 28/9*s**3 + 1. Determine h, given that f(h) = 0.
-2/5, 0, 7
Suppose 46 = 3*u - 50. Factor -72*y**4 + 9*y + 52*y**4 + u*y**3 + y**2 - 17*y - 5*y**2.
-4*y*(y - 1)**2*(5*y + 2)
Let k be 6/9 + (-20)/12. Let n(q) = -2*q. Let b be n(k). Factor -50 - 5*i**3 + 3*i**2 + 50 - 8*i**b.
-5*i**2*(i + 1)
Suppose -2*t - 2*j + 8 = 0, 21*j - 20*j + 8 = 2*t. Suppose -32*o**t - 2*o**4 - 240*o**2 - o**4 + 20*o**2 + 5*o**5 - 200*o**3 = 0. Calculate o.
-2, 0, 11
Let n(f) = -16*f**2 + 356*f - 736. Let d(h) = -63*h**2 + 1425*h - 2946. Let b(t) = 6*d(t) - 23*n(t). Suppose b(k) = 0. Calculate k.
11/5, 34
Let h(u) be the first derivative of 3*u**4/8 - 4*u**3/3 - 47*u**2/4 + 66*u - 180. What is y in h(y) = 0?
-4, 3, 11/3
Let j be -108*(-70)/(-56)*(-4)/10. Let x be -5 + 9 + j/(-15). Suppose -2/5 + x*v**2 - 2/5*v**3 + 2/5*v = 0. Calculate v.
-1, 1
Let -162 - 7*r**2 + 3*r**2 - 2*r**2 + 3*r**2 - 165*r = 0. Calculate r.
-54, -1
Let r(p) be the third derivative of 7*p**6/200 - 11*p**5/25 + 17*p**4/10 - 8*p**3/5 + 8947*p**2. Factor r(c).
3*(c - 4)*(c - 2)*(7*c - 2)/5
Let y(i) = -i - 1. Let b(h) = -25*h**3 + 60*h**2 - 40*h - 4. Let q = -53 + 52. Let w(n