ne y so that 0*y**3 - 7*y**3 + 3*y**3 + 2*y**3 - 676 + 692 - 16*y**2 + 2*y = 0.
-8, -1, 1
Find c such that 803*c + 1790*c - 250 + 85*c**2 - 478*c = 0.
-25, 2/17
Let q(f) = -3*f**3 + 45*f**2 - 713*f + 3293. Let k(s) = 13*s**3 - 178*s**2 + 2851*s - 13185. Let c(m) = 2*k(m) + 9*q(m). Factor c(i).
-(i - 27)*(i - 11)**2
Let n be (-2)/(17 + (-105)/6). Let t(a) be the third derivative of 0*a + 1/120*a**n + 0*a**3 + 1/300*a**5 - 33*a**2 + 0. Factor t(i).
i*(i + 1)/5
Let n(j) be the third derivative of 13/10*j**5 + 0 + 5*j**3 + 0*j - 38*j**2 - 39/8*j**4 + 3/40*j**6. Let n(o) = 0. Calculate o.
-10, 1/3, 1
Let a = 215 + -204. Factor 5*n**3 + 18*n**2 - 2*n**3 - 15*n**2 - a*n + 5*n.
3*n*(n - 1)*(n + 2)
Let n(f) = f**3 + 6*f**2 - 7*f + 6. Let c be n(3). Factor 10 + 7*r**2 - 2 + c*r - r**4 + 4*r**2 - 48*r.
-(r - 4)*(r + 1)**2*(r + 2)
Suppose 6*v - 14 = -32. Let u be v/(-2)*(-52)/(-39). Factor -156*i**u - 4 + 2*i**3 + 81*i**2 + 0*i**3 + 79*i**2 - 2*i.
2*(i - 1)*(i + 1)*(i + 2)
Let v be 2892/(-2651) - (1 + (-740)/275). Suppose 144/5*f - v*f**2 - 1728/5 = 0. What is f?
24
Let g(z) be the third derivative of -z**7/168 - z**6/72 + 32*z**3/3 + 2*z**2 + 10*z. Let s(b) be the first derivative of g(b). Factor s(d).
-5*d**2*(d + 1)
Suppose 58*a + 906 + 254 = 0. Let r be (-10)/a + 2652/72. Suppose 64/3 + 16*n**2 + 4/3*n**3 - r*n - 4/3*n**4 = 0. Calculate n.
-4, 1, 2
Let x(a) be the first derivative of 15*a**4/4 - 283*a**3 + 1608*a**2 - 3156*a + 2953. Determine d so that x(d) = 0.
2, 263/5
Let x(k) be the first derivative of -5/2*k**2 - 24 - 3/8*k**4 - 1/40*k**6 + 0*k**3 - 1/5*k**5 + 0*k. Let h(i) be the second derivative of x(i). Factor h(p).
-3*p*(p + 1)*(p + 3)
Let n(s) be the second derivative of s**6/15 + s**5/10 - s**4/3 + 13*s - 225. Determine p, given that n(p) = 0.
-2, 0, 1
Factor -112644*d + 225614*d - 2*d**3 - 111738*d + 406*d**2 + 824.
-2*(d - 206)*(d + 1)*(d + 2)
Suppose -18 = -26*n + 20*n. Determine i so that 9*i**2 + 206*i + 3*i**5 + 21*i**n - 206*i + 15*i**4 = 0.
-3, -1, 0
Suppose 49*k - 527 = -380. Let s(y) be the second derivative of 0*y**2 + k*y + 0*y**3 + 3/5*y**5 + 0 + 3/10*y**6 - y**4. Suppose s(c) = 0. Calculate c.
-2, 0, 2/3
Suppose -2265 = -5*j + 5*x, -2*x = 3*x. Suppose -39 - 63*k - 62 - 13 - 261*k**3 + 25*k**4 + j*k**2 - 40*k**4 = 0. Calculate k.
-19, -2/5, 1
Let n(s) be the first derivative of -9*s**4/16 + 26*s**3 - 49*s**2/2 - 68*s - 1777. Find f such that n(f) = 0.
-2/3, 4/3, 34
Let a(l) be the first derivative of l**6/24 - 7*l**5/12 + 5*l**2/2 + 2*l - 80. Let p(r) be the second derivative of a(r). Solve p(d) = 0 for d.
0, 7
Let z = -63682 + 318474/5. Determine u so that 16*u + 17/5*u**4 - z - 79/5*u**3 - 1/5*u**5 + 47/5*u**2 = 0.
-1, 1, 8
Let r be (-418)/(-55) + 4/10. Suppose -4*s = 2*w - 10, 2*w = 2*s - 2 + 6. Factor -r*y**3 + 12*y**2 + 6*y**3 - 4*y - 10*y**w + 4*y**4.
4*y*(y - 1)**3
Let n(s) be the third derivative of 412*s**5/35 + 1649*s**4/56 + s**3/14 + 7990*s**2. Factor n(j).
3*(j + 1)*(1648*j + 1)/7
Let g(w) = -3*w**4 - w**3 - w**2 - 4*w. Let m(b) = 2*b**4 - 190*b**3 - 2942*b**2 - 15352*b - 25600. Let a(t) = -2*g(t) - m(t). Factor a(z).
4*(z + 4)**2*(z + 20)**2
Let i(p) be the first derivative of -p**3/2 + 648*p**2 - 6455. Find o, given that i(o) = 0.
0, 864
Let g be ((22/13)/11 + (-72)/130)*-5. Let k(m) be the second derivative of 1/8*m**4 + 75/4*m**g + 0 - 20*m + 5/2*m**3. Solve k(y) = 0 for y.
-5
Suppose 62/3*z**3 + 80/3*z - 8 + 2/3*z**5 - 6*z**4 - 34*z**2 = 0. Calculate z.
1, 2, 3
What is v in -116149*v**3 + 28*v**4 + 6350*v**2 - 17124*v + 4392 - 116495*v**3 + 231873*v**3 = 0?
2/7, 6, 61/4
Factor -758*c**2 + 282*c**2 - 13318*c**3 + 13322*c**3.
4*c**2*(c - 119)
Let b(i) be the second derivative of i**7/11340 + 11*i**6/1620 - 27*i**4/4 + 265*i. Let r(a) be the third derivative of b(a). Suppose r(n) = 0. What is n?
-22, 0
Let y be ((-6)/9)/(9/(5076/(-8))). Let c = y - 39. Factor 24*u**3 - 2*u**4 + 6*u - 20*u**2 + 2*u**4 - c*u**4 + 2*u**5 - 4*u**4.
2*u*(u - 3)*(u - 1)**3
Let p(d) be the third derivative of d**8/336 + d**7/30 + 17*d**6/120 + 17*d**5/60 + d**4/4 - 3119*d**2. Determine y so that p(y) = 0.
-3, -2, -1, 0
Let t = 3289 + -3289. Let r(f) be the third derivative of 1/120*f**5 + 0 + t*f - 1/4*f**4 + 3*f**3 + 3*f**2. Factor r(n).
(n - 6)**2/2
Determine l, given that 3*l**4 + 36*l**3 + 121*l + 161*l + 0*l**4 - 1050*l = 0.
-8, 0, 4
Factor -4163*h + 24 - 117 - 4135*h - h**2 - 135 + 8329*h.
-(h - 19)*(h - 12)
Suppose 0*a + a - 4 = 0. Suppose 10 = n + a. Solve n - r**2 + 5*r - 10*r + 6*r = 0 for r.
-2, 3
Factor -49 - 63*c - 962*c**2 - 1009*c**2 - c**3 + 1956*c**2.
-(c + 1)*(c + 7)**2
Let f(v) = v**2 - 4*v. Let n be f(5). Let l = 1122309/4 - 280577. What is d in 0*d**2 - l*d**3 + 0 + 1/8*d**n + 0*d**4 + 1/8*d = 0?
-1, 0, 1
Let 4 + 8/5*n**2 - 28/5*n**4 + 48/5*n**3 - 48/5*n = 0. What is n?
-1, 5/7, 1
Let q be (-8)/3*6/(-8) - -6. Let m(n) be the third derivative of -q*n**2 + 0*n + 1/20*n**5 - 1/2*n**4 + 2*n**3 + 0. Suppose m(g) = 0. Calculate g.
2
Factor 3069*q**2 + 3071*q**2 + 220 - 6136*q**2 - 224*q.
4*(q - 55)*(q - 1)
Let q be (60/40 - 6)*4*10/(-198). Solve 2*c - q*c**2 - 4/11*c**3 - 8/11 = 0 for c.
-4, 1/2, 1
Let l be (-23)/46*((-470)/50 - -9). Determine b so that 0 - l*b - 1/5*b**3 - 2/5*b**2 = 0.
-1, 0
Let f = -3857888/5 + 771592. What is v in 0 - 36/5*v**4 - 16/5*v**5 + 24/5*v + f*v**3 + 116/5*v**2 = 0?
-3, -1, -1/4, 0, 2
Let x be (-1)/16 - ((-78)/208 + 290/(-96)). Factor -2*j - 2/3*j**3 + 0 + 2/3*j**4 - x*j**2.
2*j*(j - 3)*(j + 1)**2/3
Let o(k) be the first derivative of -k**5 + 10*k**3 + 5/4*k**4 - 40*k - 10*k**2 - 90. Factor o(j).
-5*(j - 2)**2*(j + 1)*(j + 2)
Suppose 0 = -v + 65 - 69. Let j be 3/(-1) + (4807 - v). Suppose 160 - j*b**3 + 202*b**4 + 5200*b**2 - 1520*b + 1048*b**4 + 3125*b**5 - 2192*b**3 = 0. What is b?
-2, 2/5
Determine b, given that 63*b**2 + 3592060*b**3 + 58800 - 3592065*b**3 - 210*b**2 + 280*b - 58*b**2 = 0.
-28, 15
Suppose 9313 = 3*q - k, -7*q + 9*q = -4*k + 6218. Factor 2837 + 1924 + p**2 - 3243*p + q*p.
(p - 69)**2
Let n(d) be the first derivative of 4/3*d**3 - 28/25*d**5 + 8/5*d - 24 - 18/5*d**2 + 9/5*d**4. Let n(g) = 0. Calculate g.
-1, 2/7, 1
Let i(a) be the third derivative of a**9/332640 - a**8/3960 + 71*a**5/15 - 275*a**2. Let w(x) be the third derivative of i(x). What is v in w(v) = 0?
0, 28
Factor -41340*v**2 - 32972*v - 790*v**3 - 5*v**4 - 607951*v - 61327*v + 744385.
-5*(v - 1)*(v + 53)**3
Factor -35 - 57*f + 51 + f**3 + 13 + 27*f**2.
(f - 1)**2*(f + 29)
Factor 70744/3*g**2 + 274576/3 + 1/3*g**4 + 92224*g + 176*g**3.
(g + 2)**2*(g + 262)**2/3
Let z = -6529 + 150168/23. Let k(t) be the first derivative of 2/69*t**3 - 4/23*t + 34 - z*t**2. Factor k(c).
2*(c - 2)*(c + 1)/23
Factor 48387 + 384*b**2 + 49911/2*b + 3/2*b**3.
3*(b + 2)*(b + 127)**2/2
Let n(x) = 5*x**3 - 20*x**2 + 47*x + 30. Let l(z) = z**3 + 4*z - 2. Let f(d) = 6*l(d) - n(d). Factor f(t).
(t - 2)*(t + 1)*(t + 21)
Suppose -3*l + 9 = 5*c, -3*l + l + 6 = 2*c. Suppose o + c = 3. Factor 112*b**3 - 12*b**2 + 110*b**o - 10*b - 224*b**3.
-2*b*(b + 1)*(b + 5)
Let j be (-28)/7 + -5 - -16. Suppose -j + 16 - 5*l**3 + 28*l - 40*l**2 - 69 - 123*l = 0. What is l?
-4, -3, -1
Let u(h) be the first derivative of 4*h**3/3 - 2046*h**2 + 4088*h - 283. Factor u(n).
4*(n - 1022)*(n - 1)
Let w(h) be the second derivative of 46*h**3 - 216/5*h**5 + 32*h + 81/10*h**6 + 1 + 103/4*h**4 + 18*h**2. Find j, given that w(j) = 0.
-2/9, 1, 3
Let -5904/13*v - 4357152/13 - 2/13*v**2 = 0. What is v?
-1476
Let t(w) be the first derivative of -14/39*w**3 - 10 - 1/26*w**4 + 0*w**2 + 0*w. Factor t(q).
-2*q**2*(q + 7)/13
Let l(c) be the second derivative of 2*c**6/5 - 9*c**5/4 + 3*c**4 + 2*c**3 - 5*c + 2. What is x in l(x) = 0?
-1/4, 0, 2
What is u in 1/6*u**2 - 1336/3*u + 892448/3 = 0?
1336
Suppose -5*h = -95*c + 100*c + 5, 5*c = -5. Let v(y) be the second derivative of 1/100*y**5 + h - 1/5*y**2 - 1/10*y**3 - 6*y + 0*y**4. Factor v(a).
(a - 2)*(a + 1)**2/5
Suppose -4*b - 3*d = -5*d + 1618, 2003 = -5*b - 4*d. Let v be b/(-390) + (-3)/(-10). Suppose -8/3*o**3 + 0 + 6*o**2 - v*o = 0. Calculate o.
0, 1/4, 2
Let z(p) be the third derivative of -10*p**2 - 1/39*p**4 + 3/65*p**5 + 0*p - 2/273*p**7 + 1/728*p**8 - 8/39*p**3 - 7 + 1/780*p**6. Solve z(c) = 0.
-1, -2/3, 1, 2
Let l(d)