o be 2*(-3 - (-1074)/q). Solve o*k + 26*k**4 + 100 + 7*k - 25*k**4 + 61*k**2 - 18*k**3 = 0 for k.
-1, 10
Suppose 1462*d - 25*d**3 + 196 - 13*d**3 + 534 + 40*d**3 + 734*d**2 = 0. Calculate d.
-365, -1
Suppose 0 = 10*w + 2 - 32. Solve 18*t**2 - 9*t**3 + 7*t**2 + 5*t**4 - 5*t - 6*t**w - 10*t**2 = 0.
0, 1
Suppose -960*a**4 - 3318*a**2 + 396*a - 24*a + 4032*a**3 - 1358*a**4 + 875*a**4 + 369 - 12*a**5 = 0. Calculate a.
-123, -1/4, 1
Let z(q) be the third derivative of -1/150*q**5 - 13*q + 0 + 5*q**2 - 21/20*q**4 + 64/15*q**3. Suppose z(y) = 0. Calculate y.
-64, 1
Let f = 243 + -165. Suppose -720 - 7*i - 35*i - f*i - 5*i**2 = 0. What is i?
-12
Let x(r) be the second derivative of -11 + r + 1/12*r**4 - 28/3*r**3 + 392*r**2. Factor x(a).
(a - 28)**2
Let q(n) = -n**2 - 4*n + 1. Let f be q(-2). Factor 3*k**f - k**3 - 9*k + 2*k**3 - 14*k**3 - 5*k**3 + 24*k**2.
3*k*(k - 1)**3*(k + 3)
Let l = -621 + 609. Let g be -5 + 0 + 3 - 48/l. Solve 18/5 + 21/5*m + 3/5*m**g = 0.
-6, -1
Let o be (402/11055)/((-2)/(-11)). Let i = 7 + -5. Solve 1/5*a**i - 2/5*a + o = 0 for a.
1
Let v = -53852 - -53882. Let -9/2*w**5 - 300 + 60*w**4 - 537/2*w**3 - v*w + 423*w**2 = 0. Calculate w.
-2/3, 2, 5
Let y(n) be the third derivative of -2/9*n**3 - 5 + 7/360*n**6 - 2*n**2 + 0*n + 1/20*n**5 - 1/6*n**4. Find k, given that y(k) = 0.
-2, -2/7, 1
Let p be (-8 + 1827/210)*44/7. Determine s so that -2/5*s**4 - 12/5*s**3 + 28/5*s**2 + 6/5 - p*s + 2/5*s**5 = 0.
-3, 1
Let k(u) be the second derivative of 0 - 357/20*u**5 + 343/4*u**3 + 61*u + 13/10*u**6 - 7203/2*u**2 - 1/28*u**7 + 98*u**4. Factor k(a).
-3*(a - 7)**4*(a + 2)/2
Factor -1372 + 7*p**2 + 98*p - 1/2*p**3.
-(p - 14)**2*(p + 14)/2
What is r in -776/5 + 796/5*r - 4*r**2 = 0?
1, 194/5
Let d(c) be the first derivative of 16*c + 1/4*c**4 + 1/20*c**5 - 15 + 1/3*c**3 + 0*c**2. Let o(z) be the first derivative of d(z). Factor o(g).
g*(g + 1)*(g + 2)
Suppose 46 - 206 = 20*l. Let d be (-198)/(-81) - 7/((-28)/l). Factor 2/9*n**2 - d*n - 2/3.
2*(n - 3)*(n + 1)/9
Factor -8/9*b**3 - 26/9*b**2 + 2/9*b**4 + 40/3 + 56/9*b.
2*(b - 5)*(b - 3)*(b + 2)**2/9
Suppose 20*s**3 - 9*s**3 - 15*s**2 + 20 - 12*s**3 + 6*s**3 = 0. Calculate s.
-1, 2
Let p(l) = 110*l**2 - 402*l - 3860. Let i(r) = 39*r**2 - 134*r - 1285. Let o(q) = -8*i(q) + 3*p(q). Factor o(x).
2*(x - 13)*(9*x + 50)
Let a(t) be the third derivative of 1/70*t**5 - 2/21*t**3 + 66*t**2 + 0 - 1/28*t**4 + 1/210*t**6 + 0*t. Factor a(c).
2*(c - 1)*(c + 2)*(2*c + 1)/7
Let c(k) = -39*k**3 + 329*k**2 - 361*k - 205. Let t(z) = 20*z**3 - 166*z**2 + 180*z + 102. Let l(s) = 6*c(s) + 11*t(s). Factor l(w).
-2*(w - 9)*(w - 2)*(7*w + 3)
Solve -1900/3*b - 460/3*b**2 - 640 + 5/3*b**3 = 0.
-2, 96
Factor -2040 + 3770*r - 478*r**2 + 58*r**2 - 768*r**2 - 227*r**2 - 320*r**3 + 5*r**4.
5*(r - 68)*(r - 1)**2*(r + 6)
Let i be (0 - -6)*4/60. Let o = 23/20 - i. What is l in -3/4*l + 3/4*l**2 - o*l**4 + 0 + 3/4*l**3 = 0?
-1, 0, 1
Find d, given that d**2 + 0*d - 2*d + 3*d + 24*d + 6*d = 0.
-31, 0
Let w = 71024/63 - 7890/7. Factor w*x**4 + 0*x + 0 + 98/9*x**2 - 28/9*x**3.
2*x**2*(x - 7)**2/9
Let i be 5*470/(-250) + 10. Let h(a) be the first derivative of -28/15*a**3 + 16/5*a - i*a**4 + 0*a**2 - 7. Let h(l) = 0. Calculate l.
-2, -1, 2/3
Let w(q) = -q**3 + 9*q**2 - 12*q + 17. Let d be w(8). Let n be (-8)/12 - 49/d. What is v in 2/5 + n*v**2 - 11/5*v - 3*v**4 + 11/5*v**3 = 0?
-1, 1/3, 2/5, 1
Let u(g) be the second derivative of g**7/70 - 3*g**6/25 - 12*g**5/25 - g**4/10 + 3*g**3/2 + 12*g**2/5 - 2*g + 4. Factor u(s).
3*(s - 8)*(s - 1)*(s + 1)**3/5
Let m(z) = -6*z + 64. Let t be m(10). Factor -140*k - 158*k**2 - 180*k - 146*k**2 - 6 - 108*k**3 - 17*k**t - k**5 + 6.
-k*(k + 4)**3*(k + 5)
Let d(k) be the third derivative of -4*k**7/525 - 121*k**6/300 - 73*k**5/75 - 29*k**4/60 + 9512*k**2. Find f, given that d(f) = 0.
-29, -1, -1/4, 0
Let u(g) be the first derivative of -3*g**4/28 + g**3/7 + 9*g**2/7 + 2192. Factor u(b).
-3*b*(b - 3)*(b + 2)/7
Let a(i) be the second derivative of 2*i**7/105 - 8*i**6/25 + 52*i**5/25 - 34*i**4/5 + 182*i**3/15 - 12*i**2 + i - 139. Determine j, given that a(j) = 0.
1, 2, 3, 5
Let d(y) = -4*y**2 + 11*y - 42. Let q(v) be the first derivative of -v**3 + 6*v**2 - 39*v + 50. Let x(i) = -2*d(i) + 3*q(i). Factor x(j).
-(j - 11)*(j - 3)
Let a be (-97)/(49179/156)*-13. Solve 3*l - 30/7 + 27/7*l**2 - 3*l**3 + 3/7*l**a = 0 for l.
-1, 1, 2, 5
Let h(u) be the first derivative of 1/4*u**4 + 0*u + 0*u**2 + 262 - 8*u**3. Determine n so that h(n) = 0.
0, 24
Let m(l) be the second derivative of l**6/15 - l**5 - l**4/2 + 32*l**3/3 - 20*l**2 - l + 48. What is j in m(j) = 0?
-2, 1, 10
Let z = -441409 + 441412. Factor 3/5*u + 1/5*u**5 + 0 - 2/5*u**2 - 4/5*u**z + 2/5*u**4.
u*(u - 1)**2*(u + 1)*(u + 3)/5
Let p be 198/24 - 5 - (-3)/(-12). Factor 72*c - 10 - 87*c**2 + 27*c**p - 5 + 4 - 1.
3*(c - 2)*(c - 1)*(9*c - 2)
Determine d, given that -4/3*d**3 + 739600/3 - 59340*d - 568*d**2 = 0.
-215, 4
Let n(o) = -8*o**4 - 93*o**3 - 187*o**2 + 22*o + 22. Let y(z) = -z**4 + z**2 + 2*z + 2. Let d(k) = n(k) - 11*y(k). Let d(p) = 0. Calculate p.
-2, 0, 33
Let j be (-11814)/895 + (-126)/27*-3. Solve 2/5*k**2 + 4/5*k + 0 - j*k**3 - 2/5*k**4 = 0 for k.
-2, -1, 0, 1
Let i(m) be the first derivative of -16/9*m - 2/9*m**4 + 14/9*m**2 - 2/9*m**3 + 46 + 2/45*m**5. Let i(d) = 0. Calculate d.
-2, 1, 4
Factor 11919*l**2 + 343*l**3 + 9*l**3 + 39000*l + 253*l**3 - 2734*l**2 + 30420.
5*(l + 1)*(11*l + 78)**2
Let c(o) be the second derivative of -7*o**6 + 73*o**5/5 + 5*o**4/2 - 68*o**3/3 + 12*o**2 - 1420*o. Let c(a) = 0. What is a?
-2/3, 1/5, 6/7, 1
Let n(p) = -19*p**4 - p**3 + 18*p**2 + 7*p - 14. Let r(i) = 17*i**4 - 14*i**2 - 8*i + 13. Let x(b) = -8*n(b) - 9*r(b). Factor x(l).
-(l - 5)*(l - 1)**3
Let l(t) be the second derivative of -6*t + 0*t**3 + 1 - t**2 + 1/6*t**4. Let l(b) = 0. What is b?
-1, 1
Factor 9/4 + 29/2*j**2 + 13/4*j**4 + 21/2*j**3 + 37/4*j + 1/4*j**5.
(j + 1)**4*(j + 9)/4
Let k(y) = -y + 7. Suppose 0 = 5*n - 3*t - 26, -10 = -0*t + 5*t. Let r be k(n). Factor -6*d + 0 + d**4 + 2*d**2 + 2*d + 4*d**r - 3.
(d - 1)*(d + 1)**2*(d + 3)
Solve -33/2 - 1/4*n**2 - 25/4*n = 0.
-22, -3
Suppose 6*f - 5 = 49. Suppose -f - 1 = -5*u. Solve -2*q + 254*q**u + 3*q - 255*q**2 = 0.
0, 1
Let j(s) be the second derivative of 0 - 1/15*s**5 + 1/6*s**4 - 11/2*s**2 + 29*s + 4/3*s**3. Let o(i) be the first derivative of j(i). Solve o(u) = 0 for u.
-1, 2
Let -135 - c**3 + 211*c - c - 1866*c**2 + 1801*c**2 - 9*c**3 = 0. What is c?
-9, 1, 3/2
Let r(g) = 10*g**3 + g**2 + g. Let n be r(2). Let -32 - 8*b**3 + 183*b**2 - 2*b - 132*b**2 - n*b - 103*b**2 = 0. Calculate b.
-4, -2, -1/2
Let d = -1405 + 1456. Suppose -33*m = -d - 48. Factor 15/2*x**2 + 0 + 3/2*x + 6*x**m.
3*x*(x + 1)*(4*x + 1)/2
Find x, given that -300/7 + 1440/7*x + 27/7*x**3 - 411/7*x**2 = 0.
2/9, 5, 10
Suppose 5*u - 3*q = 168 - 65, -5*u + 123 = 2*q. Let m = 29 - u. Factor -4*f - 6 - 5*f**2 - 22*f + 31 + m*f.
-5*(f - 1)*(f + 5)
Suppose -10*z = 4*w - 24, -2*z + 5 = 36*w - 35*w. Let o be 783/21 - (-2)/(-7). Determine i so that 24*i - 605 + 2*i**2 + o*i - 7*i**z + 49*i = 0.
11
Let l be ((-98)/(-2205)*-3)/(5/(-1550)). Factor -36*r**2 - 44/3 + 8/3*r**4 - l*r - 20/3*r**3.
4*(r + 1)**3*(2*r - 11)/3
Let h(g) be the third derivative of -1/245*g**7 - 2 + 9/140*g**6 + 0*g**3 + 44*g**2 + 1/7*g**4 - 11/70*g**5 + 0*g - 1/392*g**8. Factor h(c).
-6*c*(c - 1)**3*(c + 4)/7
Suppose -195*k - 436*k + 1893 = 0. Solve -6*l**2 + 20/7*l + 0 + 24/7*l**k - 2/7*l**4 = 0.
0, 1, 10
Let v(c) = -3*c - 10. Suppose -24 = 5*g - 4*n, -4*g - 2*n - 13 = n. Let f be v(g). Factor 0*t + t - 4*t**f - 150*t**4 + 146*t**4 + t**5 + 6*t**3.
t*(t - 1)**4
Let t(g) = -2*g**2 - 11*g + 1. Let z be t(-5). Determine d so that -z*d**2 + 3*d**3 + 40*d**4 + 5*d**2 - 45*d**5 + 8*d**4 - 5*d**2 = 0.
-1/3, 0, 2/5, 1
Let v(w) be the first derivative of -w**8/1680 - w**7/280 + w**6/72 + w**5/40 - w**4/6 + 25*w**3/3 - 28. Let l(f) be the third derivative of v(f). Factor l(x).
-(x - 1)**2*(x + 1)*(x + 4)
Let b = 1/306797 - -21168988/1533985. Factor 15*i - b*i**2 - 6/5.
-3*(i - 1)*(23*i - 2)/5
Suppose 219*d - 2*d**3 + 255*d - 786*d - 314*d**2 = 0. Calculate d.
-156, -1, 0
Let u(y) be the third derivative of 0*y**5 - 1/315*y**7 + 0*y**6 + 0 + 1/504*y**8 - 71*y**2 + 0*y + 0*y**4 +