 x.
3/8, 24
Suppose -5*b + 33 - 8 = 0. Suppose 0 = i - b + 3. Factor m - 2 - 2*m + 3*m**2 + 0*m - 2*m**i.
(m - 2)*(m + 1)
Let f = 26 - 12. Let l = 24 - f. Find o such that -4*o - 34*o**3 + 0*o**2 + 26*o**3 - l*o**2 - 2*o**4 = 0.
-2, -1, 0
Suppose 361*s - 178*s = 165*s + 36. Factor 3/5*v + 0 - 2/5*v**s - 1/5*v**3.
-v*(v - 1)*(v + 3)/5
Let w(q) be the third derivative of -q**4/24 - q**3/6 - 34*q**2 - 2*q. Let d(m) = 3*m**2 + 21*m + 18. Let o(k) = d(k) - 3*w(k). Solve o(v) = 0.
-7, -1
Let g be (-178)/(-2) - (-28 - -19). Solve 15*a - 15*a**3 + 17*a - 39*a - g*a + 5*a**4 - 125*a**2 = 0.
-3, -1, 0, 7
Suppose 67 = -81*w + 310. Let d(o) be the first derivative of 4/3*o**w + 0*o + 20*o**2 + 2. Suppose d(f) = 0. What is f?
-10, 0
Let g = -3 + 2. Let n be (2 + -17)*(g - 343/(-385)). Factor -14/11*f + 2/11*f**4 + n*f**2 + 4/11 - 10/11*f**3.
2*(f - 2)*(f - 1)**3/11
Let p(y) = y**2 - y. Let v(g) = -2*g**3 - 9*g**2 - 13*g + 2. Let n(s) = 2*p(s) - v(s). Let j be n(-4). Factor 8/9 - 10/9*x + 2/9*x**j.
2*(x - 4)*(x - 1)/9
Factor -3285/4 - 1641/2*f + 3/4*f**2.
3*(f - 1095)*(f + 1)/4
Let f(m) be the second derivative of 3*m**4/20 - 89*m**3/10 - 9*m**2 - 128*m. Factor f(o).
3*(o - 30)*(3*o + 1)/5
Factor 54*u**2 - 10819205 + 2998*u + 8093*u - 5611*u + 9230*u - 59*u**2.
-5*(u - 1471)**2
Let x(l) be the second derivative of l**5/10 - 6*l**4 + 63*l**3 - 270*l**2 + 5*l - 345. Let x(t) = 0. Calculate t.
3, 30
Let u(h) = h**2 + 2*h - 3. Let n(a) = a. Let v(y) = -6*n(y) + 2*u(y). Let g = -178 - -176. Let w(k) = 1. Let d(t) = g*v(t) - 12*w(t). Factor d(c).
-4*c*(c - 1)
Let z(d) be the first derivative of -22/9*d**3 - 1/18*d**6 + 11/15*d**5 + 11/3*d + 1/6*d**4 - 1/6*d**2 + 149. Suppose z(r) = 0. What is r?
-1, 1, 11
Let o(j) = j**2 + 14*j + 34. Let v(g) be the first derivative of 5*g**3/3 + 34*g**2 + 171*g - 15. Let a(n) = 11*o(n) - 2*v(n). Determine q, given that a(q) = 0.
-16, -2
Let x(r) be the first derivative of 5*r**3/3 + 595*r**2/2 - 3100*r - 6610. Let x(f) = 0. Calculate f.
-124, 5
Let g be (4 - 105/27)*1. Let x = 1781/2675 - -7/8025. Factor 7/9 - g*i**2 + x*i.
-(i - 7)*(i + 1)/9
Factor 1748/7*t - 4/7*t**2 - 1744/7.
-4*(t - 436)*(t - 1)/7
Let s(p) be the first derivative of -p**4/28 + 4*p**3/21 - 2*p**2/7 + 5*p + 26. Let x(o) be the first derivative of s(o). Factor x(k).
-(k - 2)*(3*k - 2)/7
Let s = 492 + -516. Let z(f) = 4*f**2 + 56*f + 47. Let t(c) = -20*c**2 - 280*c - 236. Let o(j) = s*z(j) - 5*t(j). Let o(u) = 0. Calculate u.
-13, -1
Let x be 80*(14541/1295 - 11). Solve x*k**3 + 0 + 0*k + 2/7*k**5 + 32/7*k**4 + 0*k**2 = 0 for k.
-8, 0
Let t(f) be the third derivative of -f**8/2800 - f**7/280 - f**6/150 - 79*f**3/6 - 63*f**2. Let i(b) be the first derivative of t(b). Factor i(u).
-3*u**2*(u + 1)*(u + 4)/5
Let f be (2 + -1)*(0 + 0). Suppose -7*u + u - 60*u = 8*u. Determine b, given that 0*b + u*b**2 + 2/15*b**3 + f = 0.
0
Let k(n) = -n + n**3 + 4 - 10*n**2 - 4 + 9*n**2. Let l = -63 + 62. Let y(v) = 6*v**3 + 3*v**2 - 3*v. Let p(w) = l*y(w) + 3*k(w). Factor p(q).
-3*q**2*(q + 2)
Let p(u) = 7*u**3 + 2*u**2 + 8*u - 5. Let b be p(5). What is o in -894*o**2 + 401*o**3 - 177*o + 13*o**3 - 63*o**4 - 243 + b*o + 3*o**5 = 0?
1, 9
Let y(r) be the second derivative of -2*r**6/15 + 13*r**5/5 + 88*r**4 + 600*r**3 - 2061*r. Factor y(n).
-4*n*(n - 25)*(n + 6)**2
Let i(w) = 10*w**3 - 35*w**2 - 45*w - 45. Suppose -3*f + 6 = 18. Let y(g) = -g**3 + 3*g**2 + 4*g + 4. Let n(m) = f*i(m) - 45*y(m). What is h in n(h) = 0?
-1, 0
Let j(b) be the third derivative of 0*b**3 + 1/84*b**4 - 1/2352*b**8 + 1/1470*b**7 - 1/84*b**5 + 9*b**2 - 1 + 0*b + 1/280*b**6. Let j(v) = 0. What is v?
-2, 0, 1
Let h be 16/(4 - 0) - 4809/(-21). Factor 80*x - h*x + 105*x + 3*x**3 + 45*x**2.
3*x*(x - 1)*(x + 16)
Find l, given that 1537*l**3 - 30*l - 448 + 80*l + 154*l - 766*l**3 - 770*l**3 - 27*l**2 = 0.
4, 7, 16
Suppose -9*f + 12*f = 18. Let d be (7 - f) + 15/(-24). Factor d*a - 3/8*a**3 + 15/8*a**2 - 15/8.
-3*(a - 5)*(a - 1)*(a + 1)/8
Let d(o) be the second derivative of 5*o**9/12096 + 10*o**3 + o**2 - o + 34. Let p(z) be the second derivative of d(z). Let p(q) = 0. Calculate q.
0
Let m(n) be the second derivative of -n**4/9 + 1073*n**3/9 - 536*n**2/3 - 52*n + 18. Factor m(f).
-2*(f - 536)*(2*f - 1)/3
Let g(i) = 3*i**3 - 16*i**2 - 12*i + 21. Let f be g(6). Let m be f/4*18*1/21. Determine p so that 3/2*p**2 + 0 + m*p = 0.
-3, 0
Let f(u) = 120*u**2 + 72*u + 24. Let q(o) = -13*o**2 - 4*o + 1. Let s(p) = f(p) + 9*q(p). Factor s(l).
3*(l + 1)*(l + 11)
Determine w, given that 98/3*w**3 + 20/3 + 22/3*w**4 + 50*w**2 + 94/3*w = 0.
-2, -1, -5/11
Let g(a) be the second derivative of -a**5/14 - 4*a**4/3 - 19*a**3/3 - 82*a**2/7 - 51*a - 2. Solve g(d) = 0 for d.
-41/5, -2, -1
Factor 122/3*z**2 + 0 + 43/3*z**3 + 80/3*z + 1/3*z**4.
z*(z + 1)*(z + 2)*(z + 40)/3
Let n(w) = -2*w**4 - w**3 + w**2 + w. Let u(f) = 3*f**4 + 10*f**3 - 22*f**2 + 10*f. Let q(x) = n(x) + u(x). Suppose q(o) = 0. What is o?
-11, 0, 1
Determine s, given that 390 - 99*s**2 - 1164 - 104*s - 7*s + 102*s**2 = 0.
-6, 43
Find n, given that 1/9*n**3 + 336*n + 3136/9 - 37/3*n**2 = 0.
-1, 56
Let p = 602 - 582. Suppose -5*u + 2*h + p = 0, h = -0*h. Find y, given that -8/9 - 2/3*y**2 - 4/9*y**3 + 2/9*y**u + 16/9*y = 0.
-2, 1, 2
Determine q, given that 716*q**2 + 452*q**2 + 688 + 872*q**3 - 2048*q + 20*q**4 - 700*q**2 = 0.
-43, -2, 2/5, 1
Let s(w) = -4*w**2 + 6 - 9*w - 3*w**2 - 3*w**2 + 9*w**2. Let l(v) = -9*v + 3. Let r(f) = -2*l(f) + 3*s(f). Factor r(m).
-3*(m - 1)*(m + 4)
Let w(u) be the third derivative of 0*u**3 + 0*u**4 - 160*u**2 + 2/15*u**5 - 2/35*u**7 + 1/30*u**6 + 0*u + 0. What is a in w(a) = 0?
-2/3, 0, 1
Suppose -12*t + 141 - 117 = 0. Let s(u) = 65*u - 126. Let o be s(t). Factor -36/5*w**2 + 9*w**3 - 12/5*w**o - 12/5*w + 0.
-3*w*(w - 2)**2*(4*w + 1)/5
Let m(j) be the second derivative of -j**4/6 - 46*j**3/3 + 432*j**2 - 8253*j. Solve m(c) = 0 for c.
-54, 8
Suppose -2*k - 21 + 4 = -3*y, -2*y = 2*k - 8. Let m(a) be the first derivative of -2*a**2 - y - 24/5*a + 8/15*a**3 + 1/5*a**4. Factor m(h).
4*(h - 2)*(h + 1)*(h + 3)/5
Let d(u) be the second derivative of u**4/3 + 200*u**3/3 - 56*u + 19. Factor d(f).
4*f*(f + 100)
Let n be 3 - ((-4)/8)/((441/360)/(-7)). Factor -121/7*j - n*j**4 - 143/7*j**2 + 0 - 23/7*j**3.
-j*(j + 1)*(j + 11)**2/7
Let y(a) be the third derivative of -a**6/30 - 23*a**5/25 - 42*a**4/5 - 64*a**3/3 - a**2 - 15*a. Let y(h) = 0. Calculate h.
-8, -5, -4/5
Let h(y) be the second derivative of -y**6/10 + 33*y**5/5 - 263*y**4/2 + 462*y**3 - 1323*y**2/2 + 1487*y. Determine t, given that h(t) = 0.
1, 21
Let s = -376563 - -2259379/6. Find z, given that -z + 8/3 - s*z**2 = 0.
-8, 2
Let u(n) be the second derivative of n + 3/4*n**4 + 126*n**2 - 64*n**3 + 24. Factor u(d).
3*(d - 42)*(3*d - 2)
Factor 2018/15*g + 1012/15*g**2 + 336/5 + 2/15*g**3.
2*(g + 1)**2*(g + 504)/15
Factor -130/7*b - 2/7*b**3 - 12 - 48/7*b**2.
-2*(b + 1)*(b + 2)*(b + 21)/7
Let 1043*k**2 - 1043*k**2 - 47*k**4 - 10*k**3 - 9*k**5 = 0. Calculate k.
-5, -2/9, 0
Let k(j) = -14*j**2 - 4679*j - 1161. Let m(n) = 55*n**2 + 18725*n + 4645. Let i(y) = -25*k(y) - 6*m(y). Factor i(x).
5*(x + 231)*(4*x + 1)
Let t(m) be the first derivative of -30 + 74/15*m**3 - 1/10*m**4 + 648/5*m - 72*m**2. Factor t(d).
-2*(d - 18)**2*(d - 1)/5
Let k = -443 - -435. Let u(r) = -r**3 - 7*r**2 - 62. Let f be u(k). Factor -45/2*z**f - 9/2 - 87/4*z - 21/4*z**3.
-3*(z + 1)*(z + 3)*(7*z + 2)/4
Let r(g) be the third derivative of g**6/420 - 29*g**5/210 + 13*g**4/14 + 55*g**2 - 2*g. Factor r(n).
2*n*(n - 26)*(n - 3)/7
Let f(i) be the first derivative of -i**4/10 - 4*i**3/5 + 7*i**2/5 - 975. Factor f(x).
-2*x*(x - 1)*(x + 7)/5
Let z be (2/(-3))/(14/(-63)). Suppose z*s - 44 = -8. Solve -s*t**4 + 1391 - 1391 + 8*t + 8*t**3 + 28*t**2 = 0 for t.
-1, -1/3, 0, 2
Let t(o) be the third derivative of -56*o**2 - 1/3*o**3 + 0*o**4 + 1/30*o**5 + 0*o + 0. Factor t(b).
2*(b - 1)*(b + 1)
Find r, given that 46/3*r + 6*r**2 + 2/3*r**3 + 10 = 0.
-5, -3, -1
Let y(z) be the third derivative of z**6/120 + 13*z**5/60 + 9*z**4/4 + 12*z**3 - 2*z**2 + 56*z. What is w in y(w) = 0?
-6, -4, -3
Factor 74*s**3 - 1232*s**2 - 221*s**2 + 74*s**3 - 225*s**3 + 78*s**3.
s**2*(s - 1453)
Solve -19606322/11 + 12524/11*q - 2/11*q**2 = 0 for q.
3131
Let x(y) =