termine j, given that s(j) = 0.
228
Let f(n) be the third derivative of -2*n**7/105 + 3*n**6/10 + 2*n**2 - 302*n + 2. Determine x, given that f(x) = 0.
0, 9
Let m(u) = 11*u + 81. Let g be m(-7). Let l be 20/(-5)*((-79)/(-20) - g). Factor 0*q + 6/5*q**3 - 7/5*q**2 + 0 + l*q**4.
q**2*(q - 1)*(q + 7)/5
Let r(c) be the first derivative of c**7/840 + c**6/480 - c**5/80 - c**4/96 + c**3/12 - 95*c**2 + 37. Let u(h) be the second derivative of r(h). Factor u(g).
(g - 1)**2*(g + 1)*(g + 2)/4
Let b(w) be the second derivative of -2*w**6/15 + 16*w**5/5 - 53*w**4/12 - 103*w**3/6 - 15*w**2 - 5025*w. Factor b(o).
-(o - 15)*(o - 2)*(2*o + 1)**2
Factor 1449*q**2 + 1323/2*q**3 + 1587/2*q + 0.
3*q*(21*q + 23)**2/2
Determine p so that -2*p**5 - 671*p**4 + 26*p**3 + 3*p + 3*p + 667*p**4 + 76*p**2 + 42*p + 0*p**5 = 0.
-3, -2, -1, 0, 4
Let l be (-6)/24 + (-243)/(-12). Suppose -l = -7*r + 8. Factor 3*z**5 + 3*z**5 - 9*z**5 - 3*z**r + 6*z**3.
-3*z**3*(z - 1)*(z + 2)
Suppose -39*u + 196 = -2*u + 12*u. Let h(r) be the second derivative of -4/9*r**3 + 1/15*r**5 - 1/6*r**u + 1/45*r**6 + 4/3*r**2 + 0 - 19*r. Factor h(p).
2*(p - 1)**2*(p + 2)**2/3
Let f be 6/(-4)*56/(-21). Let k(z) be the third derivative of 0*z**3 + 0*z + 2*z**2 + 1/30*z**f - 1/300*z**6 + 0 - 1/150*z**5. Factor k(t).
-2*t*(t - 1)*(t + 2)/5
Let s(a) be the third derivative of -a**6/40 - a**5/2 - 11*a**4/8 + 35*a**3 + 22*a**2 - 143*a. Find p, given that s(p) = 0.
-7, -5, 2
Determine q so that 5*q**2 - 423 + 303 - 2*q + 5*q - 28*q = 0.
-3, 8
Let -1168/3*o**3 + 1472/3*o**2 + 16*o**4 + 0 + 6*o**5 - 160*o = 0. Calculate o.
-10, 0, 2/3, 6
Let h(k) = k**3 - 21*k**2 - 71*k + 5. Let o be h(-3). Let s(q) be the first derivative of 1/2*q - 3 + 1/32*q**4 + 5/24*q**3 + 1/2*q**o. Factor s(y).
(y + 1)*(y + 2)**2/8
Factor -34*t**3 + 105*t**3 + 16*t**4 - 74*t**3 - 5*t**5.
-t**3*(t - 3)*(5*t - 1)
Let g(h) be the first derivative of 2*h**4 - 134*h**3/3 - 17*h**2 + 2286. Factor g(p).
2*p*(p - 17)*(4*p + 1)
Let r be 3/45*-2 - (-175)/525. Let w(f) be the third derivative of 0 - 1/2*f**4 - 1/40*f**6 + 0*f**3 + 4*f**2 - r*f**5 + 0*f. Determine g, given that w(g) = 0.
-2, 0
Let g be (-526 - -523 - 100/(-34)) + (-142)/(-102). Factor -g*c**2 + 56/3*c - 160/3.
-4*(c - 10)*(c - 4)/3
Let d(q) = 74*q**3 - 51*q**2 - 28*q - 10. Let u(b) = -b**4 - b**3 + 3*b + 2. Let n(o) = d(o) + 5*u(o). Factor n(l).
-l*(l - 13)*(l - 1)*(5*l + 1)
Let c(i) be the first derivative of -i**3 - 30*i**2 - 192*i + 539. Factor c(y).
-3*(y + 4)*(y + 16)
Let h be (42/(-126) - 76/(-60))/(6/10). Suppose -8/3*t**4 + 14/9*t**2 - h*t**3 + 0 + 4/9*t = 0. What is t?
-1, -1/4, 0, 2/3
Let s(f) be the first derivative of -5*f**4/12 - 470*f**3/3 + 950*f**2 - 5720*f/3 - 408. Factor s(l).
-5*(l - 2)**2*(l + 286)/3
Let a be 1 - (4 - 3) - (-2 - 3). Determine p so that 50*p - p**2 + 0*p**4 - 95*p + 25*p**3 - 14*p**2 - a*p**4 = 0.
-1, 0, 3
Let b = 355 - 353. Let u = 6 + -4. Factor -15*h**3 + 2*h**b + 8*h**2 - h**u + 6*h.
-3*h*(h - 1)*(5*h + 2)
Solve 24*j**3 - 23120 - 7140*j - 360*j**2 + 14*j**3 - 69*j**3 + 26*j**3 = 0.
-34, -4
Suppose -9*l + 28 = -2*l. Let -16*a - a**3 + 25*a**4 + 0*a - 24*a**2 - 19*a**4 - l*a**5 + 3*a**5 = 0. Calculate a.
-1, 0, 4
Let x(c) be the second derivative of -c**5/210 + 5*c**4/28 - 8*c**3/3 + 72*c**2 - 197*c. Let j(s) be the first derivative of x(s). Factor j(p).
-2*(p - 8)*(p - 7)/7
Find c, given that -427 + 2*c**4 - 240*c - 408 + 40*c**3 + 1017 - 70*c**2 + 3*c**4 - 317 = 0.
-9, -1, 3
Suppose -2*q - 2*q - 1892 = 0. Let p = q - -2369/5. Let p*d**3 + 0 + 0*d + 1/5*d**4 + 3/5*d**2 = 0. Calculate d.
-3, -1, 0
Let d(f) be the second derivative of -f**6/2 - 93*f**5/10 + 9*f**4/4 + 189*f**3 - 324*f**2 - 1703*f. Find h, given that d(h) = 0.
-12, -3, 3/5, 2
Factor -16/5*v**4 - 2*v**5 + 0*v**2 + 0 + 8/5*v**3 + 0*v.
-2*v**3*(v + 2)*(5*v - 2)/5
Solve -144/5 + 2/5*r**4 - 86/5*r**2 + 32/5*r**3 - 52*r = 0 for r.
-18, -1, 4
Let p(z) = -z**3 + 37*z**2 - 35*z - 1. Let f be p(36). Factor 5*o**3 - 22*o**2 + f*o**2 - 28*o**2 + 20.
5*(o - 2)**2*(o + 1)
Let i(p) be the third derivative of -2*p**7/315 + p**6/300 + 7*p**5/45 - 9*p**4/20 + 2*p**3/5 - p**2 + 48*p. Find q such that i(q) = 0.
-3, 3/10, 1, 2
Let -297*z**3 + 5*z**4 - 1248*z**3 + 125*z**3 - 2855*z**2 - 9*z - 878*z - 543*z = 0. Calculate z.
-1, 0, 286
Let q(k) be the second derivative of 1/24*k**4 + 5/4*k**2 + 18*k + 1/2*k**3 - 2. Suppose q(s) = 0. What is s?
-5, -1
Factor 8394/5 - 8391/5*j - 3/5*j**2.
-3*(j - 1)*(j + 2798)/5
Let c be ((-1407)/(-63) - 22) + 10/(-33). Let a(r) be the third derivative of -27/110*r**5 + 3/22*r**4 + 0*r + 0 + 20*r**2 - c*r**3. Factor a(b).
-2*(9*b - 1)**2/11
Let a(d) be the second derivative of 4/9*d**3 + d + 1/36*d**4 - 26 - 11/2*d**2. Factor a(i).
(i - 3)*(i + 11)/3
Let n(l) = l - 3. Let r be n(5). Let w = 3543166/3 - 1181055. Find j such that w*j**2 + 3 + r*j = 0.
-3
Let j(c) = c**3 - 16*c**2 + 18*c - 31. Let s = 1509 + -1494. Let d be j(s). Find b, given that 8/3 - 16*b - 6*b**5 - d*b**4 + 34/3*b**3 + 22*b**2 = 0.
-2, 1/3, 1
Let v(u) be the third derivative of u**7/1050 - 13*u**6/600 - 5*u**5/12 - 97*u**4/40 - 6*u**3 + 115*u**2 - 4*u. Let v(m) = 0. Calculate m.
-3, -1, 20
Suppose -304 = -1011*b - 304. Let -2/5*u**3 + b*u**2 + 0 + 8/5*u = 0. Calculate u.
-2, 0, 2
Suppose -560*r = 464*r - 967 - 3129. Determine a so that 0 + 0*a + 0*a**2 + 1/9*a**3 - 1/9*a**5 + 0*a**r = 0.
-1, 0, 1
Suppose 20 = 4*s - k, -s - k = 9 - 4. Let m(n) be the second derivative of 5/9*n**4 - 1/24*n**5 + 0*n**2 + 0*n**s + 0 - 19*n. Factor m(c).
-5*c**2*(c - 8)/6
Let x(t) be the third derivative of -t**5/30 - 77*t**4/12 + 80*t**3 + 20*t**2 + 4*t - 1. Find c, given that x(c) = 0.
-80, 3
Let n = 204 + -200. Suppose 5*x = 4*o + 5, 4 = 8*o - 5*o + n*x. What is l in 1/4*l**2 + o + 1/2*l = 0?
-2, 0
Let n(u) be the first derivative of 3*u**6/4 + 406*u**5/5 - 639*u**4/8 - 91*u**3/3 + 2655. Solve n(m) = 0.
-91, -2/9, 0, 1
Let q = -5 - -7. Let j(v) = -v**3 - 2*v**2 - 2*v - 60. Let g be j(-6). Let 1 - c**2 - g*c**4 - c**q + 97*c**4 = 0. Calculate c.
-1, 1
Let s be -2 - (2 - 3) - (93 - (-16700)/(-150)). Suppose s*n - 2*n**3 - 142/3*n**2 + 32 = 0. What is n?
-24, -2/3, 1
Let w be (-20)/(-55)*(-297)/(-18). Let t(i) be the first derivative of 0*i + 1/2*i**3 + 3 + 1/8*i**w + 0*i**5 + 0*i**2 - 9/16*i**4. Let t(x) = 0. Calculate x.
-2, 0, 1
Factor -8/3 - 37/3*l - 29/3*l**2.
-(l + 1)*(29*l + 8)/3
Let x(c) = -c**2 + 12*c - 2. Let q be x(9). Suppose -5*w = 4*i - q - 0, 3*w - 15 = -2*i. Let -5/4*b - 5/4*b**2 + i = 0. What is b?
-1, 0
Let a be 1 - -5*(-5)/(-20). Let b(i) = -i**2 + 82*i - 234. Let r be b(79). Suppose 3/4*k**4 + a - 3/2*k + 3/2*k**3 - r*k**2 = 0. Calculate k.
-3, -1, 1
Suppose -104 = -16*d - 10*d. Factor d*i - 2*i**2 + 18*i - 6*i + 18.
-2*(i - 9)*(i + 1)
Let n = 260 - 493. Let h = n - -234. Find j, given that -5/6*j + h + 1/6*j**2 = 0.
2, 3
Let t(w) = w**3 - w**2 + 9*w - 23. Let h be t(7). Solve -182*y + 732*y - 271 - h - 125*y**2 = 0 for y.
11/5
Let o(f) = -f**3 + 15*f**2 - 27*f + 17. Let i be o(13). Suppose 0 = i*h + 3 - 99. Factor -2*y**4 - y**4 + 20*y**3 - 65*y**2 + 29*y**2 + h*y - 2*y**3.
-3*y*(y - 2)**3
Find b, given that 929 - 72*b**3 - 752*b**2 + 352*b + 68*b**4 + 1587 - 4*b**5 - 596 = 0.
-2, 2, 4, 15
Suppose 77*l - 66 = 9 + 79. Determine q so that -2*q - 1/3*q**l - 5/3 = 0.
-5, -1
Suppose 0 = -2*s - 3*t + 5*t + 10, 4*t = 0. Suppose 0*d - d - 108 = -3*m, -2*m - s*d = -55. Factor -29 + p**4 + 2*p**4 - 15*p**3 + m - 21*p + 27*p**2.
3*(p - 2)*(p - 1)**3
Let l = 233 + -234. Let u(p) = -p**4 + 2*p**3 - p**2 + p - 1. Let a(h) = -10*h**4 + 16*h**3 - 6*h**2 + 6*h - 6. Let r(v) = l*a(v) + 6*u(v). Factor r(n).
4*n**3*(n - 1)
Let c(f) = -2*f**2 - 1709*f + 6872. Let t be c(4). Find r, given that 1/5*r**2 - 1/5*r**t + 0 + 3/5*r - 3/5*r**3 = 0.
-3, -1, 0, 1
Let g(k) be the second derivative of 135*k**7/14 - 165*k**6/2 - 122*k**5 - 140*k**4/3 - 83*k + 36. Factor g(f).
5*f**2*(f - 7)*(9*f + 4)**2
Let u(j) be the third derivative of j**8/2016 + j**7/21 + 281*j**6/720 + 11*j**5/12 - j**2 + 130*j + 4. Find t, given that u(t) = 0.
-55, -3, -2, 0
Let g(s) be the first derivative of s**3/18 - 97*s**2/6 + 64*s - 7627. Factor g(q).
(q - 192)*(q - 2)/6
Let t(d) be the first derivative of 1/4*d**4 + 0*d - 27 - 1/5*d**5 + 1/3*d**3 - 1/2*d