2 - 528*v - 184. Suppose -14 - 71 = 17*o. Let g(p) = o*x(p) - 2*r(p). Solve g(u) = 0.
-1/3, 46
Let k(l) be the third derivative of -l**7/1890 - 22*l**6/135 - 968*l**5/45 - 11*l**4/24 - 154*l**2. Let f(r) be the second derivative of k(r). Factor f(x).
-4*(x + 44)**2/3
Let y(p) = p**2 - 178*p - 1295. Let h be y(-7). Let m(n) be the first derivative of 0*n**2 - 1/7*n**3 - 4/35*n**5 - 1/4*n**4 + h*n - 24. Factor m(r).
-r**2*(r + 1)*(4*r + 3)/7
Let i be -129*((-7)/(-21))/(1/(-1)). Let b be i/172*(3 + 0). Factor 3/4*k**3 - 1/4*k**2 - b*k + 0 + 1/4*k**4.
k*(k - 1)*(k + 1)*(k + 3)/4
Let r = 520073/945 + -8/945. Let j = r + -545. Let 8*m**3 + j*m + 38/3*m**2 + 2/3 = 0. Calculate m.
-1, -1/3, -1/4
Suppose 1044*u + 1120*u - 440 + 48 - 44*u**2 = 0. Calculate u.
2/11, 49
Suppose 338*s + 8624 = 10652. Factor 3/7*t**2 + 15/7*t - s.
3*(t - 2)*(t + 7)/7
Factor -4 + 8/3*z + 20/3*z**2.
4*(z + 1)*(5*z - 3)/3
Factor -17*m**3 - 1/3*m**4 - 161/3*m + 53*m**2 + 18.
-(m - 1)**3*(m + 54)/3
Let i(f) be the second derivative of -f**7/147 + 8*f**6/105 - 3*f**5/35 - 12*f**4/7 + 45*f**3/7 - 8*f + 12. Find y, given that i(y) = 0.
-3, 0, 3, 5
Let l be (-1)/((420/25)/(-21)). Find n such that -5/4*n**2 + l*n + 0 = 0.
0, 1
Let w = -33681 + 33685. Let v(x) be the third derivative of 1/360*x**6 + 46*x**2 - 1/18*x**w + 1/90*x**5 + 0*x - 4/9*x**3 + 0. Factor v(f).
(f - 2)*(f + 2)**2/3
Factor -784*g - 85636*g**3 + 1344*g**2 + 84998*g**3 + 7*g**4 + 89 - 18*g.
(g - 89)*(g - 1)**2*(7*g - 1)
Let n(y) = -y**3 - 19*y**2 + 16*y - 78. Let o be n(-20). Factor 0 + 102*v - 2 + 3*v**3 + o + 57*v**2.
3*v*(v + 2)*(v + 17)
Let q(g) = 3*g**3 + 12*g**2 - 13*g - 48. Let t be q(-4). Let h = -60 + 60. Determine a, given that -8/5*a + h - 32/5*a**2 - 34/5*a**3 - 2*a**t = 0.
-2, -1, -2/5, 0
Let h(q) = 6*q**2 - 14*q + 33. Let c(p) = -14*p**2 + 14*p - 49 - 3*p + 6*p**2 + 11*p. Let z(b) = 5*c(b) + 7*h(b). Factor z(n).
2*(n - 1)*(n + 7)
Let p = 697 + -695. Let k(s) = s**4 + 10*s**3 + 4*s**2 + 2*s. Let u(f) = -f**4 - 2*f**2 - f. Let r(g) = p*u(g) + k(g). Factor r(x).
-x**3*(x - 10)
Factor -312*s + 150*s - 10*s**3 - 159*s**2 + 13*s**3.
3*s*(s - 54)*(s + 1)
Solve -8 - 40/13*q**4 - 2/13*q**5 - 346/13*q - 32*q**2 - 212/13*q**3 = 0.
-13, -4, -1
Let v(r) be the first derivative of 1/9*r**3 - 4*r + 35 + 2/3*r**2. Solve v(c) = 0.
-6, 2
Let s(w) be the third derivative of -1/12*w**4 + 1/2*w**3 - 1/240*w**5 + 47*w**2 + 0*w + 1/480*w**6 + 0. Factor s(r).
(r - 2)**2*(r + 3)/4
Factor 176558481/2 - 944163/2*t - 1/2*t**3 + 1683/2*t**2.
-(t - 561)**3/2
Let z(d) be the first derivative of -d**6/45 - d**5/30 + d**4/18 + d**3/9 + 80*d - 45. Let a(i) be the first derivative of z(i). Solve a(x) = 0.
-1, 0, 1
Suppose -4*f + 15 = -f. Let p be 4 + -1 + (f - 0) + 1. Let -4*i - 3*i**2 - i**4 - 2*i**4 - 12*i**3 - p*i**2 - i**4 = 0. What is i?
-1, 0
Let b(p) be the first derivative of 0*p + 7*p**3 + 23 - 1/120*p**5 - 1/72*p**4 + 0*p**2 + 1/270*p**6. Let c(k) be the third derivative of b(k). Solve c(v) = 0.
-1/4, 1
Let m(h) = -4*h**3 - 9*h**2 + 25*h - 22. Let a(q) = -q**3 + q**2 - 2*q. Let z(j) = -5*a(j) + m(j). Suppose z(f) = 0. What is f?
1, 2, 11
Let x(a) be the second derivative of -5*a**4/42 + 431*a**3/3 - 1206*a**2/7 + 3424*a. Factor x(p).
-2*(p - 603)*(5*p - 2)/7
Let u = -253/29 + 1041/116. Factor -7/4 + 2*q - u*q**2.
-(q - 7)*(q - 1)/4
Find y such that -1250/3*y - 5/3*y**5 - 725/3*y**3 + 35*y**4 + 0 + 625*y**2 = 0.
0, 1, 5, 10
Determine n, given that -15*n - 1/3*n**4 - 323/3*n**2 + 15*n**3 + 108 = 0.
-1, 1, 9, 36
Let x(b) be the first derivative of b**3/3 + 31*b**2/2 + 58*b - 3910. Determine o so that x(o) = 0.
-29, -2
Let w be 22/(-33) + 2/3 + -6. Let o(j) = j**3 - j**2 - 1. Let s(b) = -2*b**4 + 4*b**3 + 6*b**2 + 8*b - 22. Let d(m) = w*o(m) + s(m). Factor d(u).
-2*(u - 2)*(u - 1)*(u + 2)**2
Factor -3240 - 316*f - 28*f**2 + 3880 + 26*f**2.
-2*(f - 2)*(f + 160)
Suppose 0 = -403*j - 47 - 91 + 944. Suppose 0 + 2/3*n**3 + 0*n + 0*n**j = 0. What is n?
0
Let q(s) be the second derivative of s**6/120 + 23*s**5/40 + 43*s**4/48 - 15*s**3/4 - 2493*s. Let q(z) = 0. Calculate z.
-45, -2, 0, 1
Let t(p) be the first derivative of 112*p + 4/3*p**3 + 71 - 22*p**2. Factor t(u).
4*(u - 7)*(u - 4)
Suppose 0 = -37*j + 2515 - 2515. Let t(n) be the third derivative of -44*n**2 + 0 + 1/270*n**5 + j*n - 11/27*n**3 - 5/54*n**4. Factor t(b).
2*(b - 11)*(b + 1)/9
Let a be (-122 - -3 - 1) + -4. Let i = 130 + a. What is c in -21*c - i + 3*c**2 + 16 - 10 = 0?
0, 7
Let g(k) be the first derivative of -k**4/4 - 7*k**3/3 - 9*k**2/2 + 8*k - 6. Let z be g(-5). Factor 3*d**2 - 5*d**z - 4*d**2 + 9*d**3 - 3*d**3.
d**2*(d - 1)
Let h = 69 - 45. Let p = h - 24. Factor 12*g + p*g**3 - 2*g**3 + 30*g**2 + 11 - 35 - g**3 - 12*g**4 - 3*g**5.
-3*(g - 1)**2*(g + 2)**3
Let g(i) = -20*i**2 - 1124*i - 21609. Let b(a) = -7*a**2 - 382*a - 7203. Let m(l) = -11*b(l) + 4*g(l). Determine c so that m(c) = 0.
-49
Let u(j) = -5*j**4 + 61*j**3 - 261*j**2 + 347*j - 158. Let l(g) = 5*g**4 - 60*g**3 + 260*g**2 - 345*g + 160. Let c(m) = 4*l(m) + 5*u(m). Factor c(h).
-5*(h - 6)*(h - 5)*(h - 1)**2
Let a(w) be the third derivative of 107/960*w**6 + 0*w - 5/24*w**3 - 1/140*w**7 - 38*w**2 + 1/192*w**4 + 13/48*w**5 - 1. Suppose a(n) = 0. What is n?
-1, -1/3, 1/4, 10
Let d(j) be the third derivative of -8*j**2 + 0*j**3 + 0*j - 1/10*j**5 + 1/6*j**4 + 2/105*j**7 - 1/20*j**6 + 0. Factor d(r).
2*r*(r - 2)*(r + 1)*(2*r - 1)
Let n be ((-3312)/115)/((-6)/15). Let y be 0*8/n + (-8)/(-6). Factor 0 + y*o - 4/3*o**3 - 2*o**2.
-2*o*(o + 2)*(2*o - 1)/3
Suppose 0 = 4*k + 5*m - 15, -5*k - 4*m = -3 - 18. Factor 46*g - 21*g + 35*g - k*g**2.
-5*g*(g - 12)
Let t(d) be the third derivative of -1/660*d**6 + 0*d - 27/11*d**4 - d**2 - 6/55*d**5 + 32 + 0*d**3. Solve t(z) = 0.
-18, 0
Let x be (44 - 42) + 580/(-2). Let q = x - -292. Find n, given that 0 + 0*n - 5/3*n**3 + 0*n**2 + 1/3*n**q = 0.
0, 5
Let s = 242 + -228. Factor 27 - s*h + 12*h**2 - 29*h**2 - 4*h**3 - 4*h - 4*h**2.
-(h + 3)**2*(4*h - 3)
Let c(o) be the first derivative of 8*o**6 - 984*o**5/5 + 2955*o**4/4 - 533*o**3 - 708*o**2 - 204*o - 6690. Determine u, given that c(u) = 0.
-1/4, 2, 17
Suppose 2*v + 44 = -5*k + 58, -3*v - 2*k + 10 = 0. Suppose -6*b - 19110 + 19122 = 0. Factor -v - b*x - 1/2*x**2.
-(x + 2)**2/2
Let o(p) = -7*p**2 - 1173*p + 1288. Let f(h) = -2*h**2 - 294*h + 320. Let j(c) = 9*f(c) - 2*o(c). Factor j(y).
-4*(y - 1)*(y + 76)
Let a = 490 - 9308/19. Let o = 24/133 + a. Find p such that o*p**5 + 4/7*p**3 - 1/7*p**2 - 5/7*p**4 + 0 + 0*p = 0.
0, 1/2, 1
Let b(i) be the first derivative of -i**7/420 - 5*i**6/216 - i**5/180 + i**4/9 - 85*i**3/3 + 26. Let q(d) be the third derivative of b(d). Solve q(z) = 0.
-4, -2/3, 1/2
Suppose -5*v - x + 172 = 154, v = 3*x - 6. Find s, given that -80/7*s - 96/7*s**2 + 180/7*s**v + 48/7 - 27/7*s**4 = 0.
-2/3, 2/3, 6
Let h(d) be the third derivative of -d**5/90 + 5*d**4/18 - 16*d**3/9 - 312*d**2 + 2. Suppose h(f) = 0. Calculate f.
2, 8
Factor 14/3*d**3 + 36 + 62*d + 2/9*d**4 + 274/9*d**2.
2*(d + 1)*(d + 2)*(d + 9)**2/9
Factor 4*o**2 + 296 - 542*o - 3*o**2 - 116*o + 366*o - 5*o**2.
-4*(o - 1)*(o + 74)
Suppose q = -3*q. Let u be 1*(1 - 6*(-33)/(-242)). Determine p, given that u*p**2 - 2/11*p + q = 0.
0, 1
Let x be (0 - (-2)/9) + 11847/27. Find s, given that 3*s**3 + x*s + 14*s**2 + 5*s**4 + s**4 - 19*s**3 - 443*s = 0.
0, 2/3, 1
Suppose -18 + 1/3*h**3 - 14/3*h**2 + 17*h = 0. What is h?
2, 3, 9
Let n(f) = f**3 + 5*f**2 - 8*f - 11. Suppose 3*h - 5 = -23. Let a be n(h). Suppose 15 - b**2 + a + 8*b + 2*b**2 = 0. What is b?
-4
Let v(w) be the second derivative of 4/9*w**4 - 4/3*w**3 - 36 - 2*w + 1/10*w**5 + 1/180*w**6 - 12*w**2. Factor v(j).
(j - 2)*(j + 2)*(j + 6)**2/6
Let y = 65 - 69. Let a be (-3 + (-3 - y) - 0) + 95. Determine w so that 97*w + w**2 - a*w + w**2 + 2 = 0.
-1
Let v(h) be the third derivative of -h**6/120 - 11*h**5/30 - 85*h**4/24 - 46*h**2 + 1. Factor v(g).
-g*(g + 5)*(g + 17)
Let w(p) be the first derivative of -640*p**3/3 + 78*p**2 + p + 803. Factor w(y).
-(4*y - 1)*(160*y + 1)
Let t(k) be the first derivative of 3*k**4/16 - 549*k**3/2 + 301401*k**2/2 - 36770922*k + 1829. Factor t(w).
3*(w - 366)**3/4
Let z be (-1)/2*(-56)/7. Find k, given that 32*k**4 - 15*k - 37*k**z - 8*k**3 + 3*k**3 + 25*k**2 = 0.
-3, 