1216/7*o**2 - 5/7*o**5 + 320/7 + 1284/7*o - 402/7*o**4 - 145/7*o**3 = 0. What is o?
-80, -1, -2/5, 2
Let i(w) = -2*w**4 + 5*w**3 - 46*w**2 - 53*w - 15. Let v(x) = -5*x**4 + 19*x**3 - 185*x**2 - 213*x - 59. Let d(b) = 22*i(b) - 6*v(b). Solve d(z) = 0.
-2, -1, -2/7, 3
Let m = -347 + 351. Suppose -5*g + m*d + 9 = 11, 4*d = 2*g + 8. Factor -2/11*v**g - 2/11*v**3 + 2/11 + 2/11*v.
-2*(v - 1)*(v + 1)**2/11
Let n = -6 + 10. Let j be (-14)/(-126) + (-105)/(-27). Factor 2*l**5 + 3*l**5 - n*l**4 - l**j.
5*l**4*(l - 1)
Solve 12*o**4 + 4/5*o**5 + 84*o**2 + 216/5*o + 0 + 52*o**3 = 0 for o.
-9, -3, -2, -1, 0
Let t = 275885 + -275885. Factor 15*j**2 + 3/4*j**4 + 0 + t*j - 9*j**3.
3*j**2*(j - 10)*(j - 2)/4
Let p = -168 + 171. What is l in -7*l**4 - 67*l**4 - 4*l**2 + 0*l**2 + p*l**2 + 3*l**2 - 34*l + 102*l**3 + 4*l**5 = 0?
-1/2, 0, 1, 17
Let c(w) be the first derivative of 3*w**4 - 13*w**3/3 - 6*w**2 + 2*w - 47. Let m(q) = -4*q**3 + 4*q**2 + 4*q. Let j(a) = 4*c(a) + 11*m(a). Factor j(v).
4*(v - 2)*(v - 1)*(v + 1)
Let l(n) = -137*n - 58. Let o be l(2). Let z = 1664/5 + o. Find y, given that -z + 18/5*y**2 - 14/5*y = 0.
-2/9, 1
Let w(i) be the first derivative of -66 + 10/27*i**3 + 32/9*i - 14/3*i**2. Solve w(f) = 0.
2/5, 8
Let t(f) be the third derivative of 0*f**3 + 3*f**2 + 5/12*f**4 - 5*f + 1/12*f**5 + 0 - 1/24*f**6. Determine x so that t(x) = 0.
-1, 0, 2
Let a(d) = -228*d + 41052. Let p be a(180). Factor 8/3*k**2 - 2/3*k**3 - p + 2*k.
-2*(k - 3)**2*(k + 2)/3
Suppose -411*a + 576 = 426*a - 765*a. Let a*u + 23/3 + 1/3*u**2 = 0. What is u?
-23, -1
Suppose -3*r - z + 20 = 0, -z + 10 = -1226*r + 1227*r. Let d(f) be the third derivative of 3/14*f**4 + 0*f + 9/7*f**3 + 47*f**2 + 1/70*f**r + 0. Factor d(c).
6*(c + 3)**2/7
Let u be ((-6)/12)/((-11)/6 - -2). Let o be u/((-6 - -2)/4). Factor 6*k**4 + 2*k**4 + 4*k - 8*k**4 - k**4 - 3*k**o.
-k*(k - 1)*(k + 2)**2
Let l be (-11814)/(-3759) - 12/(-14). Let y(k) be the third derivative of 0 + 5*k**2 + 0*k - 1/20*k**5 - 49/2*k**3 - 7/4*k**l. Find u such that y(u) = 0.
-7
Let r be (-108)/(-198) - (44/176 - 49/132). Solve f**4 - r*f**2 - f + 1/3*f**5 + 2/3*f**3 - 1/3 = 0.
-1, 1
Suppose 3*i + 12*i - 2475 = 0. Suppose 15*q + 174*q**2 + i*q**2 - 334*q**2 = 0. What is q?
-3, 0
Let y(t) be the second derivative of 7*t**3 + 0 - 30*t - 2*t**4 - 10*t**2 + 1/10*t**5. Factor y(l).
2*(l - 10)*(l - 1)**2
Suppose -244*u + 352 = -236*u. Let k be (-4)/9 + u*(-5)/(-90). Factor -48 + 12*i - 3/4*i**k.
-3*(i - 8)**2/4
Let f(d) = -19*d**2 + 116*d - 94. Let w be f(1). Determine a, given that -3/4*a**3 + 0 + 3*a**2 - w*a = 0.
0, 2
Let k(a) be the first derivative of -a**7/42 - a**6/15 + a**4/6 + a**3/6 + 94*a + 17. Let l(u) be the first derivative of k(u). What is z in l(z) = 0?
-1, 0, 1
Determine r so that -115*r + 7*r**2 + 87 - 12 + 102*r**3 - 37*r**2 + 5*r**5 + 8*r**3 - 45*r**4 = 0.
-1, 1, 3, 5
Let v(r) = -108*r**2 + 850*r + 1678. Let n(u) = 272*u**2 - 1701*u - 3355. Let d(a) = -2*n(a) - 5*v(a). Factor d(z).
-4*(z + 2)*(z + 210)
Let m = -2/1010539 - -99032832/5052695. Find o such that m*o**2 + 3/5*o**3 - 7*o - 66/5 = 0.
-33, -2/3, 1
Let b(q) = q**2 + 720249*q - 720232*q + 23 + 7. Let m be b(-15). Factor 0*o + o**3 + m + 1/4*o**4 + 3/4*o**2.
o**2*(o + 1)*(o + 3)/4
Let i(g) be the first derivative of -5/2*g**2 + 10*g + 16. Let a(t) = -t**2 - t - 1. Let j(u) = 15*a(u) + i(u). Factor j(s).
-5*(s + 1)*(3*s + 1)
Let x(b) be the second derivative of 10*b**7/21 + 16*b**6/3 + 93*b**5/4 + 575*b**4/12 + 125*b**3/3 - 2312*b. Solve x(s) = 0.
-5/2, -2, -1, 0
Let l be ((-40)/12 + 3)/(5/(-45)). Find j, given that j**4 + 5*j**l + j**3 + 2*j**2 - 3*j**3 = 0.
-2, -1, 0
Let r = 1269 + -1269. Let f(y) be the third derivative of 28*y**2 + r + 0*y - 5/8*y**4 + 2/5*y**5 - 3/2*y**3. Factor f(w).
3*(w - 1)*(8*w + 3)
Let b be (-34)/2 + 9 + -35 + 43. Suppose b*k + 0 - 1/6*k**3 - 4*k**2 = 0. Calculate k.
-24, 0
Let r(s) be the first derivative of s**6/2 - 486*s**5/5 + 2367*s**4/4 - 628*s**3 - 2154. Solve r(f) = 0.
0, 1, 4, 157
Suppose 342*c**3 - 24*c**2 - 10*c - 345*c**3 - 41*c - 30 = 0. Calculate c.
-5, -2, -1
Let 328 - 2*j**2 - 486*j + 0*j**2 - 2*j**2 + 618*j - 288*j = 0. What is j?
-41, 2
Let w = 151579 - 303131/2. Factor -18*i**4 - 3*i**2 + 0*i + 0 - 15/2*i**5 - w*i**3.
-3*i**2*(i + 1)**2*(5*i + 2)/2
Let r(l) be the second derivative of -2*l**3 + 0 + 152*l - 3*l**2 + 21/40*l**5 + 1/10*l**6 + 3/8*l**4. Let r(p) = 0. Calculate p.
-2, -1/2, 1
Let w be 175/35*(-2552)/(-30). Let v = -422 + w. Factor 0*i - v*i**2 - 5/3*i**3 + 0.
-5*i**2*(i + 2)/3
Let f(p) = p**2 - 29*p + 86. Let y be f(26). Let 318*r**3 - 24 + 2*r**5 - 70*r + 320*r**3 - 650*r**3 + y*r**4 - 64*r**2 = 0. What is r?
-4, -1, 3
Let n(d) be the second derivative of 0*d**2 + 1/150*d**6 - 21/100*d**5 + 0*d**3 + 4*d + 1/3*d**4 - 10. Suppose n(s) = 0. What is s?
0, 1, 20
Let y(p) be the first derivative of p**7/14 + p**6/2 + 9*p**5/20 - 5*p**4/4 - 2*p**3 - 12*p - 77. Let g(z) be the first derivative of y(z). Factor g(f).
3*f*(f - 1)*(f + 1)**2*(f + 4)
Let u(s) be the third derivative of s**5/420 + 775*s**4/28 + 1801875*s**3/14 + 4*s**2 - 1281*s. Determine z, given that u(z) = 0.
-2325
Let w(h) be the second derivative of h**5/240 + 7*h**4/96 + 67*h**2/2 - h + 19. Let m(d) be the first derivative of w(d). Suppose m(b) = 0. What is b?
-7, 0
Let n(i) = i**3 + 33*i**2 - 357*i - 5488. Let b(q) = -q**3 - 27*q**2 + 357*q + 5489. Let z(r) = 3*b(r) + 2*n(r). Factor z(c).
-(c - 19)*(c + 17)**2
Factor 28*g + 754/3 + 2/3*g**2.
2*(g + 13)*(g + 29)/3
Let a(p) = -p**2 - 17*p - 6. Let u be a(-13). Let y = u - 41. Factor -3*q - 2*q**2 - q + 7*q + y*q.
-2*q*(q - 4)
Let q be -4*((-4)/8 + 49/28). Let t(f) = -f**2 - 4*f + 8. Let m be t(q). Factor 2/3*g - 4/9*g**2 + 0*g**4 + 2/9*g**5 - 8/9*g**m + 4/9.
2*(g - 2)*(g - 1)*(g + 1)**3/9
Solve 513 - 3/7*f**2 - 492/7*f = 0 for f.
-171, 7
Let w(l) = l**2 + 2*l - 96. Suppose 150 = -38*k + 606. Let v be w(k). Suppose -v*m - 18*m**2 - 3/2*m**3 - 96 = 0. Calculate m.
-4
Solve -28557/5*b**2 - 481/10*b**3 - 58564/5 - 1/10*b**4 + 87362/5*b = 0 for b.
-242, 1, 2
Let z = -4070 + 61054/15. Let d(u) be the first derivative of 2/5*u**4 - 4/25*u**5 + 0*u + z*u**3 - 1/5*u**2 + 38 - 1/5*u**6. Suppose d(m) = 0. What is m?
-1, 0, 1/3, 1
Let a(c) be the first derivative of -1/28*c**4 + 19/14*c**2 + 8/21*c**3 + 10/7*c - 129. Find p such that a(p) = 0.
-1, 10
What is y in 12732/11*y**2 - 4542/11*y**3 - 17472/11*y + 72*y**4 - 54/11*y**5 + 9408/11 = 0?
2, 7/3, 4
Let s be ((-21)/6)/(266/(-608)) - (-186)/8. Factor 15/4 - s*b + 145/4*b**2 - 35/4*b**3.
-5*(b - 3)*(b - 1)*(7*b - 1)/4
Factor -17/11*w**3 + 0 - 42/11*w**2 + 0*w - 1/11*w**4.
-w**2*(w + 3)*(w + 14)/11
Let h = 69654 - 69649. Let -970/13*y**3 - 250/13*y**h - 16/13 - 556/13*y**2 - 152/13*y - 800/13*y**4 = 0. Calculate y.
-1, -2/5
Let m(k) be the third derivative of -k**8/1680 - 13*k**7/525 - 83*k**6/300 + 4*k**5/15 + 559*k**4/120 + 169*k**3/15 - 48*k**2 - 4. Let m(b) = 0. What is b?
-13, -1, 2
Let f be 2/10 - 54/(-5). Let d be (-2)/(12/5) - (-7395)/2610. Factor -f*o**d - 10*o**2 + 19*o**2.
-2*o**2
What is q in 117/7*q + 510/7 + 3/7*q**2 = 0?
-34, -5
Let c(k) be the third derivative of k**8/84 + 64*k**7/105 + 28*k**6/3 + 98*k**5/5 - 435*k**4/2 - 900*k**3 - k**2 + 1048. Suppose c(o) = 0. What is o?
-15, -3, -1, 2
Let y(h) be the second derivative of h**7/20160 + h**6/640 - h**4/3 + 7*h**3/3 - h - 17. Let v(l) be the third derivative of y(l). Factor v(c).
c*(c + 9)/8
Let y(m) = 7*m**2 - 323*m - 174. Let s(u) = -6*u**2 + 323*u + 199. Let l(o) = 6*s(o) + 5*y(o). Factor l(j).
-(j - 324)*(j + 1)
Let x(g) be the second derivative of -g**6/24 + g**5/3 - 47*g**2/2 + 21*g. Let h(b) be the first derivative of x(b). What is t in h(t) = 0?
0, 4
Let g(v) be the second derivative of v**7/10080 - 11*v**6/2880 + v**5/48 + 17*v**4/6 - 27*v + 1. Let i(a) be the third derivative of g(a). Factor i(x).
(x - 10)*(x - 1)/4
Let d(u) be the third derivative of -u**5/120 + 7*u**4/24 - 13*u**3/12 + 791*u**2. Suppose d(g) = 0. What is g?
1, 13
Let o be (11 + -2)*40/40. Suppose 12*y = 4*t + 13*y - o, -3*y - 9 = 0. Factor -8000/3*f + 20000/3 - 80/3*f**t + 400*f**2 + 2/3*f**4.
2*(f - 10)**4/3
Let v be (-15)/(-12) + (-1)/4. Let a be ((-2)/(-4))/(v/6). Let l(i) = -3*i**2. Let d(n) = -n**2. Let p