be the first derivative of -o**3 + 27/2*o**2 + 108*o - 99. Suppose w(u) = 0. Calculate u.
-3, 12
Factor -3*x**4 + 95*x**3 - 20208*x**2 + 856*x**3 - 79962*x**2 + 1873430*x + 1598494*x + 5029914 - 1456866.
-3*(x - 106)**3*(x + 1)
Suppose 282*m - 285*m = 4*u - 20, -5*m + 22 = u. Let p(g) be the first derivative of -u*g**2 + 8 + 6*g + 2/9*g**3. Factor p(i).
2*(i - 3)**2/3
Suppose -2*x + 126 - 632 = 4*a, 2*x + 546 = 4*a. Let u = x + 263. Factor 0*d**2 + 2/7*d**4 + u + 0*d - 2/7*d**3.
2*d**3*(d - 1)/7
Let y(s) be the third derivative of s**5/105 - 2*s**4/21 - 64*s**3 - 19*s**2 - 241. What is l in y(l) = 0?
-24, 28
Let t be ((-25)/70)/(76/(-133)). Let h(c) be the first derivative of t*c**4 + 5*c - 3 - 5/3*c**3 - 5/4*c**2. Factor h(u).
5*(u - 2)*(u - 1)*(u + 1)/2
Let d(m) = -12*m + 64. Let i be d(5). Determine n, given that -9*n**2 - 68*n**5 + 64*n**5 - 7*n**2 - i*n - 24*n**3 - 16*n**4 = 0.
-1, 0
Let u(i) be the second derivative of i**5/480 - i**4/192 - i**3/4 + 18*i**2 - 63*i. Let q(l) be the first derivative of u(l). Suppose q(m) = 0. What is m?
-3, 4
Let w(l) be the third derivative of 8/5*l**5 - 234*l**2 - 8/3*l**4 + 0*l - 3/10*l**6 + 0*l**3 + 0 + 2/105*l**7. Find x such that w(x) = 0.
0, 1, 4
Let i(y) be the third derivative of -y**5/80 + 9*y**4/32 + 14*y**3 - 1278*y**2. Suppose i(p) = 0. What is p?
-7, 16
Let p be 6/168 - 20/560. Factor -2/7*j**2 - 1/7*j - 1/7*j**3 + p.
-j*(j + 1)**2/7
Let x(z) be the second derivative of -1/2*z**6 + 1 + 5/42*z**7 - z**5 + 0*z**4 + 0*z**2 - 2*z + 0*z**3. Solve x(f) = 0 for f.
-1, 0, 4
Let x(w) = -w**2 - 10*w + 26. Let i be x(-12). Let 117*v**3 + 5 + 69*v**2 - i - 2 - 45*v + 2 = 0. Calculate v.
-1, 1/13, 1/3
Let j(y) = -3*y**2 - 78*y + 120. Let p(b) = 32 - 2*b**2 - 80*b - 3*b**2 - 35 + 123. Let l(h) = -5*j(h) + 4*p(h). Determine z, given that l(z) = 0.
2, 12
Let g(u) be the third derivative of u**5/12 + 5*u**4/6 - 210*u**3 - 4*u**2 + 99*u. What is t in g(t) = 0?
-18, 14
Let m(b) = 83*b**3 - 305*b**2 - 592*b - 294. Let s(j) = 28*j**3 - 2*j**2 + j + 1. Let x(r) = m(r) - 3*s(r). Factor x(u).
-(u + 1)**2*(u + 297)
Suppose 0 = b - 2*r - 7, r = 2*b + 2*r - 9. Suppose -26 = -5*s - 4*t, b*s - 10 = 3*s - 2*t. Suppose -3*g + 3 - 5*g**2 - g + 0*g**2 + s*g**2 = 0. What is g?
1, 3
Let s(d) be the first derivative of 77*d**4/4 - 80*d**3/3 + d**2/2 + 2*d + 1417. Suppose s(i) = 0. What is i?
-1/7, 2/11, 1
Let -2/5*k**2 + 124/5*k - 1722/5 = 0. What is k?
21, 41
Let y(i) be the second derivative of -i**8/4480 + i**7/280 + 7*i**6/480 + 67*i**4/12 + 3*i + 9. Let q(w) be the third derivative of y(w). Factor q(d).
-3*d*(d - 7)*(d + 1)/2
Let u = -10/131 + 48893/393. Let n = -2593/21 + u. Find i, given that -n*i**5 - 3/7 - 18/7*i - 6*i**2 - 27/7*i**4 - 48/7*i**3 = 0.
-1, -1/2
Suppose 20 + 12 = 8*s. Let h be 1/s - (-1)/(-20). Factor h*f**2 + 1/5 - 2/5*f.
(f - 1)**2/5
Suppose -225*g + 114*g = -112*g + 3*z + 24, -z - 8 = 0. Factor -5*u**3 + g*u - 3/2*u**4 + 0 + 1/2*u**5 + 0*u**2.
u**3*(u - 5)*(u + 2)/2
Let x(b) be the first derivative of 95 - 1/6*b**3 - 9/2*b + 3/2*b**2. Let x(c) = 0. Calculate c.
3
Let r(z) be the second derivative of 0*z**2 - 1/6*z**3 - 1 - 4*z + 1/60*z**4. Factor r(q).
q*(q - 5)/5
Let n(c) be the second derivative of -11*c**3/6 - 85*c**2/2 - 73*c. Let j be n(-8). Factor 0 + 2/3*y**4 + 4/3*y - 2*y**2 + 0*y**j.
2*y*(y - 1)**2*(y + 2)/3
Let c(b) be the first derivative of 4/9*b**5 + 143 + 2/27*b**6 - 16/9*b**2 + 0*b - 7/3*b**4 + 92/27*b**3. Factor c(h).
4*h*(h - 1)**3*(h + 8)/9
Let l(m) be the third derivative of 2/15*m**6 + 2/105*m**7 + 2*m**2 + 0*m**3 + 0*m**4 - 1/84*m**8 - 4/15*m**5 + 0*m + 13. Find y, given that l(y) = 0.
-2, 0, 1, 2
Factor 0*b - 1/7*b**3 + 0 + 122/7*b**2.
-b**2*(b - 122)/7
Let k = -16055/329 + 2307/47. Suppose 0 + 6/7*g**2 + 4/7*g + k*g**3 = 0. What is g?
-2, -1, 0
Let n(i) be the second derivative of i**5/140 + 87*i**4/28 + 172*i**3/7 + 514*i**2/7 - 2516*i. Factor n(f).
(f + 2)**2*(f + 257)/7
Suppose -10/7*m**5 + 4*m**3 - 34/7*m**4 + 0 + 48/7*m + 136/7*m**2 = 0. Calculate m.
-3, -2, -2/5, 0, 2
Let n(z) be the second derivative of z**4/6 - 2*z**3 - 112*z**2 - 2755*z. What is s in n(s) = 0?
-8, 14
Factor 12104/3*y + 2/3*y**2 + 18313352/3.
2*(y + 3026)**2/3
Let s(o) = 31*o + 159. Let t be s(-5). Let u = -2 - -4. Factor -4*k**t - 4 + 0*k**3 + 8*k**3 + 12*k**u + 4.
-4*k**2*(k - 3)*(k + 1)
Let y = 1/31370 + 15683/62740. Let u(l) be the second derivative of -1/30*l**6 + 4 + y*l**4 + 0*l**2 - 4*l + 0*l**3 + 1/10*l**5. Factor u(t).
-t**2*(t - 3)*(t + 1)
Let p = -258942/7 - -36992. Suppose 26/7*q - 16/7*q**2 - 12/7 + p*q**3 = 0. What is q?
1, 6
Let o(c) be the second derivative of c**5/70 + 17*c**4/42 - 4*c**3 - 173*c + 6. Factor o(u).
2*u*(u - 4)*(u + 21)/7
Let g(k) be the second derivative of -k**6/21 - 11*k**5/70 - k**4/14 + k**3/3 + 4*k**2/7 - 1539*k. Solve g(b) = 0.
-1, 4/5
Let t = 287212 - 287210. Factor -5/2*a**t + 17/2*a + 6.
-(a - 4)*(5*a + 3)/2
Let t be (36/45)/(-4)*(-23224)/44. Let u = 1170/11 - t. Let 2/5*i**2 - u - 6/5*i + 6/5*i**3 + 2/5*i**4 = 0. Calculate i.
-2, -1, 1
Let r(g) be the third derivative of -125*g**8/112 + 20*g**7/21 + 53*g**6/4 + 18*g**5 + 65*g**4/24 + 38*g**2 - 14*g. What is p in r(p) = 0?
-1, -1/15, 0, 13/5
Suppose 6*k + 27 = 7*k + 4*z, 0 = 3*k - 2*z - 11. Suppose 0 = -k*f - 93 + 107. Factor -8/7*x + 0 - 10/7*x**3 - 2/7*x**4 - 16/7*x**f.
-2*x*(x + 1)*(x + 2)**2/7
Let y(s) = -759*s**3 - 775*s**2 - 11*s - 5. Let w(p) = -379*p**3 - 389*p**2 - 7*p - 3. Let v(b) = -5*w(b) + 3*y(b). Factor v(k).
-2*k*(k + 1)*(191*k - 1)
Suppose 346 = -22*x - 50. Let n be (-84)/9*x/40. Determine c, given that -3/5*c**5 - 48/5*c - 57/5*c**3 + 15*c**2 + 12/5 + n*c**4 = 0.
1, 2
Let v = -72641 + 217924/3. Factor -v*i**2 - 2 + 5/3*i.
-(i - 3)*(i - 2)/3
Let v(j) be the first derivative of 8/13*j**2 - 2/39*j**3 + 8/13*j - 1/13*j**4 + 83. Suppose v(i) = 0. Calculate i.
-2, -1/2, 2
Suppose -100 = -57*s + 53*s. Let k be ((-20)/s + 1)*25/20. Factor -5/2*n - k*n**2 - 25/4.
-(n + 5)**2/4
Let q(p) = -5384*p - 21534. Let z be q(-4). Suppose 69/4*c**z + 3/4*c**3 - 147/4*c + 75/4 = 0. Calculate c.
-25, 1
Let u(c) be the third derivative of c**5/240 - 361*c**3/24 + 7*c**2 - 46*c. Factor u(f).
(f - 19)*(f + 19)/4
Solve -12/5 - 6018/5*j**4 - 330*j**2 - 6936/5*j**5 + 2994*j**3 - 354/5*j = 0 for j.
-2, -1/17, 1/4, 1
Let n(g) be the second derivative of g + 1 - 57/22*g**4 + 46/33*g**3 + 81/44*g**5 - 4/11*g**2. Factor n(z).
(5*z - 2)*(9*z - 2)**2/11
Suppose -15*a = 17 - 92. Suppose -57*m**2 - 60 + 30*m**2 + a*m + 32*m**2 = 0. Calculate m.
-4, 3
Let n(b) = -b**4 - 2*b**3 + 10*b**2. Let r(y) = -20*y**4 + 1970*y**3 - 40730*y**2 + 88160*y - 28880. Let l(w) = 5*n(w) + r(w). Determine m so that l(m) = 0.
2/5, 2, 38
Let t be ((36 - (-300)/(-15)) + 1670/(-105))/((-12)/(-21)). Factor -27/2 + 40/3*w + t*w**2.
(w - 1)*(w + 81)/6
Let y(m) be the second derivative of -5*m - 1/80*m**5 + 4 + 1/8*m**4 - 3/4*m**2 + 1/24*m**3. Factor y(p).
-(p - 6)*(p - 1)*(p + 1)/4
Let r be -7 + -4 + 19 + -5. Let d(t) be the first derivative of 3/20*t**4 + 3 + 0*t**2 - 4/25*t**5 + 1/15*t**r + 0*t. What is j in d(j) = 0?
-1/4, 0, 1
Let l(u) be the first derivative of -13*u**5/60 - 35*u**4/36 - 7*u**3/9 + 4*u**2/3 - 42*u + 101. Let h(y) be the first derivative of l(y). Factor h(j).
-(j + 1)*(j + 2)*(13*j - 4)/3
Solve -44*z - 926/21 + 2/21*z**2 = 0.
-1, 463
Let c = 4293 + -4288. Let z(h) be the second derivative of 0*h**4 - 1/42*h**7 + 0*h**3 + 6*h + 0 + 0*h**2 - 1/150*h**6 + 0*h**c. Factor z(r).
-r**4*(5*r + 1)/5
Let g(y) be the second derivative of -1/42*y**4 - 7*y**2 + 7 - 2/3*y**3 - 3*y. Suppose g(j) = 0. What is j?
-7
Let x(z) be the third derivative of -z**5/15 - 11*z**4/6 - 874*z**2. Factor x(g).
-4*g*(g + 11)
Let u(o) be the second derivative of 2*o**6/15 - 69*o**5/5 + 67*o**4 - 398*o**3/3 + 132*o**2 + 965*o. Solve u(i) = 0.
1, 66
Let -3*w**4 + 3/4*w**5 - 99/2*w**3 + 0 - 87*w**2 - 165/4*w = 0. Calculate w.
-5, -1, 0, 11
Let u(i) be the second derivative of i**4/12 + 115*i**3/2 + 172*i**2 - 3131*i. Find z such that u(z) = 0.
-344, -1
Let l(g) be the first derivative of 2*g**3/9 + 19*g**2/3 - 28*g + 363. Factor l(t).
2*(t - 2)*(t + 21)/3
Let m(g) be the first derivative of 5*g**4/4 - 530*g**3/3 + 9360*g**2 - 220320*g - 7421. Suppose m(u) = 0. Calculat