 744 - 22369*v + 44673*v = 0. What is v?
-6, 54/11
Let d(m) be the second derivative of 2*m**6/45 - m**4 + 8*m**3/9 + 8*m**2 + 2*m - 271. Suppose d(r) = 0. Calculate r.
-3, -1, 2
Let o(v) = 0*v + 6*v - 4 - 7*v. Let j be o(-7). Factor 0*f**2 - 5*f**4 + 5*f**3 + 3*f**j - 10*f**2 + 7*f**3.
-5*f**2*(f - 2)*(f - 1)
Let w(x) be the third derivative of -103*x**2 + 0 - 1/30*x**6 + 48*x**3 + 0*x - 2/3*x**5 - 2*x**4. Factor w(j).
-4*(j - 2)*(j + 6)**2
Let y(t) be the first derivative of -6 + 1/42*t**4 - 8*t + 0*t**2 + 0*t**3. Let l(i) be the first derivative of y(i). What is g in l(g) = 0?
0
Let o = 100828/3 - 33604. Factor 2/3*b**2 - o + 4/3*b.
2*(b - 2)*(b + 4)/3
Determine y so that -186/5*y**2 - 66/5*y**3 + 6/5*y**5 + 74/5*y**4 + 0 - 52/5*y = 0.
-13, -1, -1/3, 0, 2
Let o(q) be the third derivative of 0 - 7/660*q**6 + 0*q + 88*q**2 + 0*q**3 + 4/1155*q**7 + 1/132*q**4 + 1/165*q**5. Determine p, given that o(p) = 0.
-1/4, 0, 1
Let o = 13600 - 13597. Let r(c) be the third derivative of 0 + 1/27*c**4 + 0*c + 2/45*c**5 - 31*c**2 - 7/540*c**6 + 0*c**o. Suppose r(p) = 0. What is p?
-2/7, 0, 2
Let k(u) be the first derivative of 0*u**2 - 11 - 1/90*u**6 - 1/2*u**4 - 43/3*u**3 - 2/15*u**5 + 0*u. Let w(b) be the third derivative of k(b). Factor w(y).
-4*(y + 1)*(y + 3)
Let o(u) be the second derivative of u**7/231 + 4*u**6/55 + 2*u**5/11 - 5*u + 204. Find z such that o(z) = 0.
-10, -2, 0
Let g = 15902 - 15900. Let o(l) be the second derivative of -l**3 + 0 - 1/4*l**4 + 19*l + 12*l**g. Factor o(x).
-3*(x - 2)*(x + 4)
Let l = -332098 - -2324713/7. Factor -60/7 + l*n - 3/7*n**2.
-3*(n - 5)*(n - 4)/7
Let d be (-290720)/(-144440) + (-4)/314. Factor 10 + 1/3*j**d - 13/3*j.
(j - 10)*(j - 3)/3
Let o(p) = p**2 + 8*p + 10. Let n be o(-7). Let u = 250 - 246. Solve -u*r - 4*r - 12*r - 12*r**2 - 5*r**n - 8*r**2 = 0.
-2, 0
Let p(o) = 10*o**5 + 475*o**4 - 1215*o**3 + 270*o**2 + 480*o + 60. Let n(h) = h**4 - h**3 + h**2 + 3. Let g(y) = 20*n(y) - p(y). Solve g(f) = 0.
-48, -1/2, 0, 1, 2
Let y = 46 - 43. Factor -36*x**2 + 14*x**2 + 6*x - 33*x**2 + 44*x + 5*x**y.
5*x*(x - 10)*(x - 1)
Let q(r) = -2*r - 26. Let h be q(-15). Suppose -h*x = 3*x - 147. Factor -108*g + 12 - x*g**2 + 15*g**3 + 50*g**2 + 64*g.
(g + 3)*(3*g - 2)*(5*g - 2)
Let y(a) be the first derivative of a**3/3 - 164*a**2 - 329*a - 5735. Factor y(v).
(v - 329)*(v + 1)
Suppose 4*v - 20 - 40 = 2*c, -4*c = 0. Suppose -v*k + 28 = -2. Factor 12/7*p + 4/7*p**k + 8/7.
4*(p + 1)*(p + 2)/7
Let g(b) = 2*b + 2*b - 2*b. Let f(j) = j**2 - 14*j - 17. Let a(o) = 4*f(o) - 4*g(o). Factor a(v).
4*(v - 17)*(v + 1)
Let u be -5 + (0 - (-4090)/760). Let x = 50/19 - u. Factor -n**4 - x*n**3 - 1/2*n**2 + 0 + 0*n.
-n**2*(n + 2)*(4*n + 1)/4
Let c(b) be the first derivative of 1805*b**3/3 - 4275*b**2 + 10125*b + 1746. Factor c(h).
5*(19*h - 45)**2
Suppose -17*d + 142 - 249 + 158 = 0. Solve 0 - i**2 + 1/3*i**d + 0*i = 0.
0, 3
Let k(n) be the first derivative of -1/8*n**4 + 0*n**3 + 17 + 0*n**5 + 0*n + 1/48*n**6 + 0*n**2. Factor k(h).
h**3*(h - 2)*(h + 2)/8
Suppose 208*k - 210*k = 20. Let y be (k/(-12))/((-3)/((-72)/30)). Determine i so that 22/9*i**3 + 8/9 - 16/9*i - 2/3*i**2 - y*i**5 - 2/9*i**4 = 0.
-2, -1, 2/3, 1
Let t = -400 - -407. Find n, given that 51*n**2 + t*n + 7*n - 50*n**2 = 0.
-14, 0
What is d in -10/17*d**4 - 3612/17*d + 412/17*d**3 - 4072/17*d**2 + 882/17 = 0?
-1, 1/5, 21
Factor 0 - 19250582*g**2 - 3*g**3 + 19253336*g**2 + 0 - 632043*g.
-3*g*(g - 459)**2
Let i = 91198 + -91198. Factor i + 5/9*u**2 - 1/9*u**3 + 0*u.
-u**2*(u - 5)/9
Let d(k) = -k**3 + 43*k**2 - 79*k - 33. Let h be d(38). Factor -h*a**2 - 305*a**4 - 857 + 2460*a**3 + 20*a**5 + 47 - 765*a**3 + 4185*a.
5*(a - 6)*(a - 3)**3*(4*a - 1)
Suppose -1517 - 5*w**2 + 23487*w - 23407*w + 919 + 5083 = 0. Calculate w.
-23, 39
Suppose -y + 3*d - 10 = 0, -3*d + 63 = -5*y + 73. Suppose -y*l**3 - 3 + 7*l**3 + l**3 + 0*l**3 + 3*l**2 - 3*l = 0. What is l?
-1, 1
Let u(l) be the second derivative of 11*l**5/12 + 45*l**4/4 + 100*l**3/3 - 280*l**2/3 - 12845*l. Find q such that u(q) = 0.
-4, 7/11
Let g(w) be the second derivative of -w**6/15 + 17*w**5/20 - 2*w**4/3 + 1441*w. Suppose g(u) = 0. Calculate u.
0, 1/2, 8
Let z(t) be the first derivative of -3/5*t**3 + 3 + 0*t - 1/20*t**4 + t**2. Determine j, given that z(j) = 0.
-10, 0, 1
Let s(u) be the first derivative of -12*u + 1/2*u**4 + 4/3*u**3 + 155 - 5*u**2. Let s(m) = 0. Calculate m.
-3, -1, 2
Let f(k) be the first derivative of -2*k**6 + 224*k**5/5 - 32*k**4 - 296*k**3/3 + 70*k**2 + 72*k + 1709. Solve f(b) = 0 for b.
-1, -1/3, 1, 18
Let x(m) be the third derivative of 0*m**3 - 1/10*m**6 + 0*m - 11/30*m**5 - 1/2*m**4 + m**2 + 0 - 1/105*m**7. Factor x(q).
-2*q*(q + 1)*(q + 2)*(q + 3)
Let z = -30549 - -30564. Let g(m) be the second derivative of 11*m + 7/2*m**3 - 1/4*m**4 - z*m**2 + 0. Factor g(c).
-3*(c - 5)*(c - 2)
Suppose -14*b = -13*b - 338. Suppose 5*k**5 - 3*k**5 + b*k**4 - 216*k**4 - 238*k**2 + 1798*k**3 - 1684*k**2 = 0. What is k?
-31, 0, 1
Let i(g) = g**3 + 4*g**2 + g - 8. Let w be i(8). Let u = w - 5368/7. Solve u*l - 8/7 + 6/7*l**2 - 4/7*l**3 - 2/7*l**4 = 0.
-2, 1
Let f(k) be the second derivative of -k**5/4 - 185*k**4/12 + 615*k**3/2 + 2025*k**2/2 - 4*k + 112. What is y in f(y) = 0?
-45, -1, 9
Let c(x) be the third derivative of -5/12*x**5 - 2*x + 0 + 17*x**2 - 1/24*x**6 - 5/6*x**4 + 0*x**3. Factor c(b).
-5*b*(b + 1)*(b + 4)
Let i be (-1)/21 - 1/(-3). Let z = -100089 + 100093. Let 2/7*q**z + i*q - 2/7*q**2 + 0 - 2/7*q**3 = 0. What is q?
-1, 0, 1
Let q = -62 - -84. Suppose -q*v - 25*v + 94 = 0. What is x in 0 + 1/9*x**3 - 1/9*x + 0*x**v = 0?
-1, 0, 1
Let j(w) = -107*w**2 - 308*w - 313. Let p(l) = 561*l**2 + 1539*l + 1566. Let t(b) = -21*j(b) - 4*p(b). Let t(o) = 0. Calculate o.
-103, -1
Let l(n) = 185*n**2 + 3220*n - 35. Let h(x) = 31*x**2 + 551*x - 6. Let p(r) = 35*h(r) - 6*l(r). Factor p(f).
-5*f*(5*f + 7)
Let z(t) be the second derivative of -t**6/12 - 7*t**5/24 + 25*t**4/12 - 52*t**3/3 + 2*t - 5. Let f(g) be the second derivative of z(g). Factor f(v).
-5*(v + 2)*(6*v - 5)
Let f(h) be the first derivative of -h**6/18 - 136*h**5/15 + 23*h**4/2 + 136*h**3/9 - 137*h**2/6 + 5611. Let f(q) = 0. Calculate q.
-137, -1, 0, 1
Let n(y) = 100*y + 813. Let v be n(-8). Let m(a) be the first derivative of 0*a**3 + 0*a**2 - a**4 + 14/5*a**5 + 0*a - v. Factor m(t).
2*t**3*(7*t - 2)
Let k = -1/113 - -577/1356. Let q(x) be the second derivative of -16*x - 5/3*x**3 - 5/2*x**2 + 0 - k*x**4. Suppose q(c) = 0. Calculate c.
-1
Let o(f) = -11*f**3 + 347*f**2 - 662*f - 6. Let a(t) = -120*t**3 + 3815*t**2 - 7280*t - 65. Let m(b) = 6*a(b) - 65*o(b). What is u in m(u) = 0?
0, 2, 65
Let m(n) = 5*n**3 - 21*n**2 - 26*n + 50. Let t(l) = 14*l + 12. Let w be t(-1). Let k(y) = -4*y**3 + y - 1. Let h(c) = w*k(c) - m(c). Factor h(f).
3*(f - 1)*(f + 4)**2
Let a(n) be the first derivative of 2*n**3/3 + 26*n**2 - 112*n + 646. Factor a(o).
2*(o - 2)*(o + 28)
Factor -395737*c + 395797*c + 232*c**2 - 2 + 7*c**4 + 2 + 79*c**3.
c*(c + 5)*(c + 6)*(7*c + 2)
Let z**2 - 56*z - 162 - 116*z - 120*z + 43*z - 10*z**2 = 0. What is z?
-27, -2/3
Let u(a) be the first derivative of -5*a**4/12 + 5*a**3/3 - 21*a + 7. Let s(j) be the first derivative of u(j). Suppose s(g) = 0. What is g?
0, 2
Find u such that 5/3*u + 15*u**2 - 15*u**3 - 5/3 = 0.
-1/3, 1/3, 1
Let y(t) be the first derivative of t**5/20 - t**3/6 - 231*t + 112. Let f(k) be the first derivative of y(k). Determine c so that f(c) = 0.
-1, 0, 1
Let t(a) be the second derivative of -4 + 1/3*a**3 + 4*a**2 - 5/12*a**4 - 2*a + 1/20*a**5. Factor t(f).
(f - 4)*(f - 2)*(f + 1)
Suppose -4*z = -p + 68 - 14, p + 3*z - 47 = 0. Let 432 + 37*q**3 + 32*q**4 + 36*q**2 + 2*q**5 + 59*q**3 + p*q**3 - 648*q = 0. Calculate q.
-6, 1
Suppose -2*y - 4 = 6, y - 35 = -5*x. Suppose -2*o + 0*o = 4*w - x, w = o - 7. Solve -g**3 - g**3 - 6*g**2 - g**3 + o*g**4 + 3*g = 0 for g.
-1, 0, 1/2, 1
Let i(g) = -9*g**2 - 15*g + 358. Let t(b) = -26*b**2 - 45*b + 1072. Let l(x) = -11*i(x) + 4*t(x). Factor l(a).
-5*(a - 7)*(a + 10)
Let f = -391435 - -3131519/8. Factor f + 3/8*m**2 - 21/4*m.
3*(m - 13)*(m - 1)/8
Let k(a) be the second derivative of a**7/360 - 53*a**6/720 + 7*a**5/30 - 83*a**4/12 + 27*a. Let n(u) be the third derivative of k(u). Factor n(w).
(w - 7)*