13*x**5/30 - 5*x**4/9 + 4*x**3/9 + 3*x - 213. What is n in i(n) = 0?
-2, 0, 2/7
Suppose -24*l - 36 = -27*l. Suppose -5*z + l = z. Find h, given that 3*h + 6*h + 7*h**2 + 4*h**z - 54 + h**2 - 3*h**3 = 0.
-2, 3
Suppose -5419*l = -5422*l + 6. Let t(s) be the second derivative of 0 + 3/8*s**4 - 7*s - s**l - 1/40*s**5 + 1/12*s**3 - 1/12*s**6. What is n in t(n) = 0?
-1, 4/5, 1
Let p(j) be the third derivative of j**5/240 - 29*j**4/48 + 119*j**3/8 + 8759*j**2. Find q such that p(q) = 0.
7, 51
Let o = -1 + 4. Suppose -6*t + 16 - 4 = 0. Determine x, given that 39*x**2 + 25*x - 7*x**o + 4*x**2 + t*x**3 - 23*x**2 = 0.
-1, 0, 5
Suppose -18*i**2 + 15*i**2 + 38 + 233 + 242 + 19*i - 181*i = 0. Calculate i.
-57, 3
Suppose 0*p = -5*p + 5*g + 45, 3*g = 5*p - 39. Let v be ((-16)/p + 3)*9. Determine j, given that j**2 + 9*j**3 - 3*j + 2*j**2 + 0*j**2 + v*j**2 = 0.
-1, 0, 1/3
Factor -51/5*o**3 - 48*o**2 - 252/5*o + 0 + 3/5*o**4.
3*o*(o - 21)*(o + 2)**2/5
Let w(o) = -23*o**2 - 714*o + 129600. Let l(a) = 4*a**2 - a. Let r(d) = -6*l(d) - w(d). Find f, given that r(f) = 0.
360
Let h = -1080158 + 5400802/5. Find l, given that -1/5*l**5 + 13/5*l**3 - h*l + 4/5*l**4 - 4/5*l**2 + 0 = 0.
-2, -1, 0, 1, 6
Let p = 105566/3 + -738953/21. Suppose -9/7*t**3 + 0*t**2 - p*t**4 + 0 + 12/7*t = 0. Calculate t.
-2, 0, 1
Let b(w) be the first derivative of w**3/8 + 147*w**2/16 - 885*w/4 - 63. Factor b(c).
3*(c - 10)*(c + 59)/8
Let n(p) = -p**3 - 276*p**2 + 559*p. Let z(a) = -a**3 + 3*a. Let w(i) = -n(i) - 3*z(i). Solve w(g) = 0.
-71, 0, 2
Let a(o) be the first derivative of o**4 + 3692*o**3/3 + 428720*o**2 + 2539200*o - 337. Factor a(y).
4*(y + 3)*(y + 460)**2
Let q(j) be the first derivative of j**6/9 + 52*j**5/15 + 35*j**4/2 - 2311. Factor q(s).
2*s**3*(s + 5)*(s + 21)/3
Let w(l) be the third derivative of l**7/1260 - 11*l**6/1080 - l**5/45 + 27*l**4/8 + l**2 - 116*l. Let g(p) be the second derivative of w(p). Factor g(h).
2*(h - 4)*(3*h + 1)/3
Let b = 6617/267 + -6559/534. Suppose 115/4*u + 75/4*u**2 - 5/4*u**4 + b + 5/4*u**3 = 0. Calculate u.
-2, -1, 5
Let j = -6074 - -965675/159. Let h = 5/53 - j. Factor -2/3*y - 2*y**2 + h*y**3 + 4/3 + 2/3*y**4.
2*(y - 1)**2*(y + 1)*(y + 2)/3
Let s(u) be the first derivative of u**5/330 - 25*u**4/33 + 2500*u**3/33 - 155*u**2/2 + 166. Let w(d) be the second derivative of s(d). Let w(r) = 0. What is r?
50
Let g be -7*(54/(-70) - (-7)/35). Let p(r) be the second derivative of 0 + 8*r + 1/75*r**6 - 1/5*r**2 + 0*r**g - 2/15*r**3 + 1/25*r**5. Factor p(q).
2*(q - 1)*(q + 1)**3/5
Let o(i) = i**4 - i**3 - i - 9. Let t(d) = -25*d**4 - 1240*d**3 + 1265*d**2 + 30*d + 270. Let q(x) = 30*o(x) + t(x). Factor q(k).
5*k**2*(k - 253)*(k - 1)
Let g(y) be the second derivative of 3*y**5/20 + 81*y**4/2 - 1989*y. Factor g(t).
3*t**2*(t + 162)
Let o(h) = 7*h**3 - 9*h**2 - 307*h - 261. Let a(l) = -l**3 - l**2 + 7*l + 1. Let f(r) = -5*a(r) - o(r). Factor f(p).
-2*(p - 16)*(p + 1)*(p + 8)
Let u(n) be the third derivative of -n**5/12 + 135*n**4/8 + 415*n**3/3 + 1966*n**2. Solve u(i) = 0.
-2, 83
Let g(y) be the third derivative of -71/180*y**4 - 1/5*y**3 + 0 + 52*y**2 + 4/225*y**6 - 68/225*y**5 + 0*y. Let g(z) = 0. Calculate z.
-1/4, 9
Let a(n) be the third derivative of 0*n + 253/2*n**4 - 573/20*n**5 + 214*n**2 - 242*n**3 - 1/70*n**7 + 0 + 23/20*n**6. What is l in a(l) = 0?
1, 22
Let s(h) = 25. Let w(o) = -o**2 - o + 1. Let y be 140/(-196) - (-2)/(-7). Let x(l) = y*s(l) - 5*w(l). Factor x(k).
5*(k - 2)*(k + 3)
Let s(q) = -33*q**3 + 3442*q**2 + 6899*q + 3438. Let k(y) = 21*y**3 - 2295*y**2 - 4599*y - 2292. Let g(v) = -14*k(v) - 9*s(v). Factor g(x).
3*(x + 1)**2*(x + 382)
Let c(g) be the first derivative of -2/27*g**3 - 10/3*g + 72 + 16/9*g**2. Determine m, given that c(m) = 0.
1, 15
Let w(m) be the third derivative of -3*m**2 + 3/14*m**6 - 4*m + 0 - 17/735*m**7 + 0*m**3 - 18/7*m**4 + 1/1176*m**8 - 18/35*m**5. Factor w(g).
2*g*(g - 6)**3*(g + 1)/7
Factor 32*w + 31 + 48*w**2 - 122*w**2 + w**4 + 88*w**3 + 2*w**4 - 80*w**2.
(w - 1)**2*(w + 31)*(3*w + 1)
Find y such that -8/9 - 8/9*y**5 + 10/9*y + 70/9*y**2 + 70/9*y**3 + 10/9*y**4 = 0.
-1, 1/4, 4
Let r(u) = 7 - 4*u**2 - 15 + 14*u**2 + 13. Let y(p) = -7*p**2 - p - 4. Let q(j) = -4*r(j) - 5*y(j). Factor q(z).
-5*z*(z - 1)
Let a be (2 - -2 - 35/(-7) - 1230/135)*-2. Factor a*u**2 + 0 - 28/9*u.
2*u*(u - 14)/9
Suppose -3/2*g**5 + 0 + 3/8*g - 27/8*g**3 + 33/8*g**4 + 3/8*g**2 = 0. Calculate g.
-1/4, 0, 1
Factor -2/9*h**5 + 783485352*h**2 - 781943058*h + 0 + 9128/9*h**4 - 1543308*h**3.
-2*h*(h - 1521)**3*(h - 1)/9
Let w(z) be the first derivative of -169*z**4/2 + 754*z**3/3 - 272*z**2 + 128*z - 5422. Let w(d) = 0. Calculate d.
8/13, 1
Let j(i) be the second derivative of -2*i**7/21 - 16*i**6/15 - 7*i**5/5 + 52*i**4/3 + 88*i**3/3 - 160*i**2 - 11*i - 47. Let j(u) = 0. What is u?
-5, -4, -2, 1, 2
Suppose -n + 4*c = 8, 0 = 6*c - 5*c + 4. Let j be 4*243/18*(-3)/n. Factor 1/4*b - 9/4 + 1/2*b**4 + j*b**2 - 21/4*b**3.
(b - 9)*(b - 1)**2*(2*b + 1)/4
Factor -28*u**2 - 21*u**2 - 495*u - 303*u + 52*u**2 - 1722*u.
3*u*(u - 840)
Factor o**3 - 66958*o**5 - 4*o**3 - 384*o + 66960*o**5 - 14*o**4 + 224*o**2 - 5*o**3.
2*o*(o - 4)**2*(o - 3)*(o + 4)
Let s be (20/(-25))/((-56)/(-20)) + (-39)/(-63). Let p(q) be the second derivative of 0 + 0*q**2 - 2/3*q**3 - s*q**4 - 39*q. Determine r, given that p(r) = 0.
-1, 0
Let s = -98/25 + 108/25. Let w(m) be the first derivative of -3/2*m**4 + 2*m**2 + 15 + 0*m - 2/3*m**3 + 1/3*m**6 + s*m**5. What is l in w(l) = 0?
-2, -1, 0, 1
Let c(d) be the second derivative of d**5/4 + 10*d**4/3 + 10*d**3 - d + 471. What is l in c(l) = 0?
-6, -2, 0
Let b(k) be the first derivative of k**3/12 + 5*k**2/4 - 24*k - 2324. Factor b(j).
(j - 6)*(j + 16)/4
What is w in 2/7*w**4 - 24/7*w - 32/7*w**2 - 6/7*w**3 + 0 = 0?
-2, -1, 0, 6
Let l(x) be the third derivative of 14*x**2 + 0 - 1/4*x**3 - x + 1/40*x**5 - 1/16*x**4 + 1/80*x**6. Suppose l(j) = 0. Calculate j.
-1, 1
Let x be (-252)/(-324) - 4/9. Let u(h) = -9*h + 1. Let q be u(0). Factor x*t**3 - 1/3*t + q - t**2.
(t - 3)*(t - 1)*(t + 1)/3
Let i = -9223/14 - -102489/154. Find k, given that 8*k**2 + 12*k**3 + 14/11*k**5 + i*k**4 + 16/11*k + 0 = 0.
-2, -1, -2/7, 0
Suppose 0 = 1717*f - 167*f - 3100. Find o, given that -1/3*o**f + o - 2/3 = 0.
1, 2
Let q(j) be the first derivative of 42*j - 27/2*j**2 + 75 + j**3. Let q(r) = 0. What is r?
2, 7
Let j(d) be the second derivative of d**6/75 + 221*d**5/25 + 10878*d**4/5 + 216090*d**3 + 3176523*d**2/5 - 7859*d. Suppose j(x) = 0. What is x?
-147, -1
Determine p so that -3072/5 + 3856/5*p**2 - 2*p**3 - 6136/5*p = 0.
-2/5, 2, 384
Let o(p) be the third derivative of -p**5/80 - 19*p**4/32 - 45*p**3/4 - 2556*p**2. Find y, given that o(y) = 0.
-10, -9
Let m(u) be the first derivative of 5/24*u**6 - 1/2*u**5 - 5/8*u**2 + 5/6*u**3 + 0*u + 219 + 0*u**4. Factor m(i).
5*i*(i - 1)**3*(i + 1)/4
Let o(v) = 42*v + 108. Let r be o(-2). Let s be (r/60)/(-2 + 8/2). Factor -1/5*g - s*g**3 - 2/5*g**2 + 0.
-g*(g + 1)**2/5
Find u such that 0 - 69/5*u**3 + 12/5*u + 132/5*u**2 = 0.
-2/23, 0, 2
Factor 7017279 - 55444500*y + 5*y**4 - 3335*y**3 + 3412684 + 742590*y**2 + 44275277.
5*(y - 222)**3*(y - 1)
Let m = 189 - 169. Suppose -95*q - 5*q**2 - 190 + m*q + 120 = 0. Calculate q.
-14, -1
Let t(z) be the first derivative of z**6/48 - 69*z**5/8 + 15135*z**4/16 - 44375*z**3/12 + 88065*z**2/16 - 29241*z/8 - 165. Factor t(r).
(r - 171)**2*(r - 1)**3/8
Let d(g) be the first derivative of 3*g**5/20 - 9*g**4/4 + 4*g**3 - 9*g - 16. Let i(y) be the first derivative of d(y). Factor i(s).
3*s*(s - 8)*(s - 1)
Let v(l) = 18*l**2 - 38*l + 14. Let y(f) = 13*f**2 - 26*f + 10. Let s(z) = 5*v(z) - 7*y(z). Factor s(u).
-u*(u + 8)
Let h be 2221/(-510) - (-1 - 1/(-3)). Let j = -3/34 - h. Factor -j*u**2 + 14/5*u + 4/5.
-2*(u - 1)*(9*u + 2)/5
Let y = -142540 + 710373/5. Let a = 466 + y. Find q, given that a*q**3 - 3*q**2 + 21/5*q - 9/5 = 0.
1, 3
Determine m so that -2/3*m - 1/2*m**4 + 2*m**2 + 1/6*m**3 + 0 = 0.
-2, 0, 1/3, 2
Let j be (-2 - (-30)/4) + (-3)/2. Suppose x - 56 = -3*s + 24, -3*x = -j*s + 111. Factor 60 - s - 30 - 6*v**2 + 3*v**4.
3*(v - 1)**2*(v + 1)**2
Let c(w) be the third derivative of -1/510*w**5 + 47*w**2 + 0*w**4 + 4/51*w**3 + 0 + 0*w. Find f, given that c(f) = 0.
-2, 2
Let h be