102))/((-6)/9). Factor -15/2*h - s*h**2 + 5*h**3 + 0.
5*h*(h - 2)*(4*h + 3)/4
Let d = 2591966/204627 + -8/68209. Factor 2/3*r**3 - 184/3 - 176/3*r - d*r**2.
2*(r - 23)*(r + 2)**2/3
Let s(c) be the first derivative of c**5/480 + c**4/64 - 5*c**2/2 + c + 63. Let y(p) be the second derivative of s(p). Suppose y(j) = 0. Calculate j.
-3, 0
Let m(n) = 12*n**2 + 15*n + 38. Let x be m(-6). Let s = -378 + x. Suppose 2/15*u**4 + 2/15*u**5 - 2/15*u**s + 4/15*u + 0 - 2/5*u**3 = 0. What is u?
-2, -1, 0, 1
Let a be 99/18 + (-95)/19. Let m be 1 - -3*3/(-18). Solve -3/2*b**3 + a*b**2 - 1 + m*b**4 + 3/2*b = 0.
-1, 1, 2
Let v(z) be the third derivative of z**8/3024 + z**7/315 - z**6/135 - z**5/90 + 7*z**4/216 + z**2 - 16*z. Factor v(s).
s*(s - 1)**2*(s + 1)*(s + 7)/9
Suppose -1043*f + 4233 = 368*f. Determine d so that -123/7*d**f + 0 + 15*d**4 - 156/7*d**2 - 36/7*d = 0.
-3/7, -2/5, 0, 2
Suppose 71*h + 520*h = -371*h + 2886. Solve 10/21*s**h + 0 - 2/21*s**4 - 6/7*s - 2/7*s**2 = 0.
-1, 0, 3
Let z be (-10)/(-32)*32448/6084. Find c such that z*c**3 - 175/3 - 185/3*c**2 + 355/3*c = 0.
1, 35
Let t(y) = -251*y - 2506. Let k be t(-10). Factor -1/5 + 3/5*f**k - 4/5*f**3 - 2/5*f**2 + 4/5*f.
(f - 1)**2*(f + 1)*(3*f - 1)/5
Factor 267 + 272 - 268*o + 780*o**2 - 542 - 509*o.
3*(o - 1)*(260*o + 1)
Suppose -4*h - z - 185 - 233 = 0, -3*h - 310 = -z. Let u be (-40)/380 - h/266. Solve 0*g + 2/7*g**5 + u*g**4 + 0 + 0*g**2 - 4/7*g**3 = 0.
-2, 0, 1
Let r = -5476/897 - -141/23. Let u(s) be the third derivative of 0*s**3 + r*s**4 - 1/390*s**5 + 0*s + 11*s**2 + 0. What is d in u(d) = 0?
0, 4
Let d = -88 + 82. Let s be d*((-2)/12 - (-9)/(-54)). Determine k, given that 0*k - 2/21*k**s + 2/21 = 0.
-1, 1
Let g(u) be the first derivative of -u**3 + 3840*u**2 - 4915200*u - 5834. Factor g(c).
-3*(c - 1280)**2
Suppose 4 + 6 = 5*c. Let n be (-2 - 1) + (9 - 8) + 5. Factor 3*l - 30*l**3 + 63*l**3 + c - 34*l**n.
-(l - 2)*(l + 1)**2
Let l = 706 + -920. Let u = l - -216. What is c in 4/5 - 2/15*c**5 - 16/15*c**4 - 8/5*c**3 + 4/15*c**u + 26/15*c = 0?
-6, -1, 1
What is a in -1054*a - 41*a**2 - 8092 - 1/2*a**3 = 0?
-34, -14
Let u(q) be the third derivative of 1/2520*q**8 - 2/525*q**7 - 112*q + 1/45*q**4 - q**2 - 8/15*q**3 - 1/180*q**6 + 0 + 1/15*q**5. Find w such that u(w) = 0.
-2, -1, 1, 2, 6
Let p be (-712)/(-10) + 208/260. Let o be 26/24 - (-12 - (-852)/p). Factor 5/4*n - o*n**2 + 5/2.
-5*(n - 2)*(n + 1)/4
Let f be (2 - 3)*(36 + -28). Let i be (-22)/f + (378/24)/(-21). Let 0 + 1/7*z**i - 11/7*z = 0. What is z?
0, 11
Suppose 3124 = -24*r - 2204. Let s = r + 224. Suppose -s - 7/6*a**2 + 8/3*a + 1/6*a**3 = 0. Calculate a.
2, 3
Let f = 1034824/1293505 + -4/258701. Factor -528/5*z - 17424/5 - f*z**2.
-4*(z + 66)**2/5
Solve -4008/7*x + 1338672/7 + 3/7*x**2 = 0 for x.
668
Suppose 7*s - 45*b + 195 = -56*b, -3*s = 5*b + 89. Solve -3/4*z - 1/2*z**s - 1/4 = 0.
-1, -1/2
Let u(z) be the first derivative of z**6 + 724*z**5/15 + 2011*z**4/3 + 5144*z**3/3 + 4769*z**2/3 + 1444*z/3 + 2456. Find p such that u(p) = 0.
-19, -1, -2/9
Let g(a) = -a**2 + 4*a + 15. Let t be g(-10). Let v be (t/50)/(5/8*-2). Factor 2*y - 2*y - 4 + 4*y**v + 0*y.
4*(y - 1)*(y + 1)
Let y(z) be the second derivative of -z**6/45 + 7*z**5/15 - 13*z**4/18 - 163*z + 2. Factor y(d).
-2*d**2*(d - 13)*(d - 1)/3
Let r(i) = i**3 - i**2 + 34*i. Let p(q) be the first derivative of -q**4/2 + 2*q**3/3 - 26*q**2 + 197. Let f(j) = 5*p(j) + 8*r(j). Factor f(c).
-2*c*(c - 3)*(c + 2)
Let k(g) be the third derivative of -6*g**3 + 1/20*g**5 + 0 + 90*g**2 + 0*g + 1/8*g**4. Factor k(a).
3*(a - 3)*(a + 4)
Let r(a) be the first derivative of 1/9*a**3 - 28/3*a + 2*a**2 + 139. Factor r(n).
(n - 2)*(n + 14)/3
Let g be ((-55)/(-10))/11*2. Let c be (4 - (0 - (-68)/20)) + g. Factor -2/5*j**3 + c - 6/5*j**2 + 0*j.
-2*(j - 1)*(j + 2)**2/5
Let i be 7/(-168)*-12*-50. Let c(a) = 3*a**2 + 76*a + 33. Let d be c(i). Factor -4/3*r**2 + d + 4/3*r.
-4*(r - 3)*(r + 2)/3
Let z(f) = -22*f**3 - 146*f**2 - 258*f - 76. Let q(j) = -67*j**3 - 437*j**2 - 775*j - 226. Let h(c) = -2*q(c) + 7*z(c). Factor h(s).
-4*(s + 2)*(s + 5)*(5*s + 2)
Let -334/9*p**2 - 13778/9 - 14110/9*p - 2/9*p**3 = 0. Calculate p.
-83, -1
Let u(f) be the second derivative of f**6/255 + 11*f**5/170 + f**4/3 + 8*f**3/17 - 145*f + 5. Factor u(z).
2*z*(z + 1)*(z + 4)*(z + 6)/17
Let o(t) be the third derivative of 2*t**7/105 - 7*t**6/30 - 2*t**5/15 + 10*t**4 - 48*t**3 + 21*t**2 + t - 18. Factor o(s).
4*(s - 6)*(s - 2)**2*(s + 3)
Let r(j) be the second derivative of -4*j**6/105 + 4201*j**5/35 - 100*j**4 + 471*j - 3. Factor r(d).
-4*d**2*(d - 2100)*(2*d - 1)/7
Let a(m) be the second derivative of 7*m**5/80 + 19*m**4/8 + 473*m**3/24 + 63*m**2/4 + 68*m - 15. Factor a(k).
(k + 7)*(k + 9)*(7*k + 2)/4
Let s(i) be the second derivative of -i**7/21 + 6*i**6/5 - 25*i**5/2 + 206*i**4/3 - 208*i**3 + 320*i**2 + 1050*i. What is f in s(f) = 0?
1, 4, 5
Let x(i) be the second derivative of -3/4*i**4 + 0 + i**3 - 8*i + 3/2*i**2. Let q(p) = -3*p**2 + 2*p + 1. Let a(n) = 17*q(n) - 6*x(n). Factor a(f).
(f - 1)*(3*f + 1)
Let h(z) = 4*z**2 + 8*z + 3. Let j = 81 + -77. Let i(d) = 4 - 5*d**2 + 8*d + 13*d**2 - j*d**2. Let w(x) = 4*h(x) - 3*i(x). Determine p so that w(p) = 0.
-2, 0
Let v = 43275 + -43271. Let j(r) be the first derivative of -16/9*r**3 + 23 - 8/3*r + 10/3*r**2 + 1/3*r**v. Factor j(k).
4*(k - 2)*(k - 1)**2/3
Find f such that 0*f**5 - 914*f**2 - f**3 + 14*f**4 + 29*f**3 + 930*f**2 + 2*f**5 = 0.
-4, -2, -1, 0
Let s = 17849/21 - 3481/7. Solve -2/3*q**3 - s*q + 0 - 92/3*q**2 = 0 for q.
-23, 0
Let p(u) be the third derivative of u**9/7056 + 3*u**8/3920 + 19*u**3/6 + u**2 + 4*u. Let z(b) be the first derivative of p(b). Find t, given that z(t) = 0.
-3, 0
Let u = -309643 - -309647. Let -25/3*m**3 + 40/3 + 50*m**2 + 5*m**5 - 40/3*m**u - 140/3*m = 0. What is m?
-2, 2/3, 1, 2
Let l(f) be the third derivative of 87*f**2 + 0*f**3 + 1/20*f**6 + 1/6*f**4 - 1/105*f**7 + 0*f - 1/168*f**8 + 1/6*f**5 + 0. Factor l(z).
-2*z*(z - 2)*(z + 1)**3
Let g(b) = -b**3 + 270*b**2 - 1327*b + 12. Let o be g(5). Suppose 5/2*l**3 + 4/3*l**o + 1/6*l + 0 = 0. What is l?
-1/3, -1/5, 0
Factor 128 + 30*p + 53*p**4 - 24*p**4 - 57*p**4 - 152*p**3 - 240*p**2 - 62*p.
-4*(p + 2)**3*(7*p - 4)
Let g(q) be the first derivative of -2*q**3/3 - 832*q**2 - 346112*q - 819. Factor g(k).
-2*(k + 416)**2
Let c(o) be the second derivative of o**4/2 + 6*o**3 + 11*o**2 + 8*o + 2. Let d(x) = 2*x**2 + 12*x + 8. Let w(v) = -5*c(v) + 16*d(v). Find r such that w(r) = 0.
-3
Let f(d) be the first derivative of -d**6/900 + 3*d**5/100 - d**4/3 - 2*d**3/3 - 20*d - 53. Let j(s) be the third derivative of f(s). Let j(p) = 0. What is p?
4, 5
Let h(c) be the second derivative of -34*c + 74*c**2 + 2/3*c**3 + 2 - 1/5*c**5 - 37/3*c**4. Factor h(o).
-4*(o - 1)*(o + 1)*(o + 37)
Find f, given that 1/6*f**3 - 11/3*f**2 + 131/6*f - 55/3 = 0.
1, 10, 11
Suppose 6554 = 234*z - 8*z. Let k(a) be the first derivative of 5/4*a**4 + 0*a**2 - z + 0*a - 10/3*a**3. Factor k(h).
5*h**2*(h - 2)
Let c(d) be the third derivative of d**5/120 - 43*d**4/48 - 20*d**3 + 2870*d**2. Let c(k) = 0. Calculate k.
-5, 48
Let p = 43135/4 + -10780. Let m(u) be the first derivative of -21*u + 1/2*u**3 - p*u**2 + 9. Factor m(k).
3*(k - 7)*(k + 2)/2
Let t(m) = m**2 + 52*m - 547. Let o be t(9). Let k(u) be the first derivative of 1/3*u**o - 1/18*u**3 - 1/2*u + 15. Factor k(w).
-(w - 3)*(w - 1)/6
Let m be (-616)/(-10) + (-26)/(-65). Suppose m = -p + 74. Solve -27 - p - 26*c - 9 - 3*c**2 + 2*c = 0 for c.
-4
Let n(k) be the second derivative of k**6/1440 + k**5/6 + 50*k**4/3 + k**3/6 - 14*k**2 - 10*k + 1. Let v(h) be the second derivative of n(h). Factor v(b).
(b + 40)**2/4
Suppose 0 + 0 = -78*w + 89*w. Let q(c) be the first derivative of 1/3*c**6 + w*c**5 + 0*c**3 + c**2 - c**4 + 0*c + 6. Factor q(i).
2*i*(i - 1)**2*(i + 1)**2
Let d(i) be the second derivative of 2*i**7/147 + 3*i**6/10 + i**5 - 13*i**4/28 - 2*i - 1127. Solve d(r) = 0 for r.
-13, -3, 0, 1/4
Let m(r) = r**2 + 4*r + 6. Let h be m(-4). Suppose 9 = h*k - 3. Factor 4 - 2*g**k + 20*g - 3*g**2 + 1 - 20.
-5*(g - 3)*(g - 1)
Factor -382*g + 207*g - 17 - 52 + 4*g**2 - 291 + 227*g.
4*(g - 5)*(g + 18)
Find f, given that -532/3*f**2 + 1/3*f**4 - 130/3*f**3 + 0 - 536/3*f = 0.
-2, 0, 134
Factor -