Factor m(a).
2*(a - 7)*(a - 5)*(a - 1)/11
Suppose -21/5*s + 3/5*s**4 - 3/5*s**2 + 21/5*s**3 + 0 = 0. What is s?
-7, -1, 0, 1
Let f = -1117/476 - -3250991/5236. Let c = f - 618. What is b in 14/11*b**3 - 14/11*b + 10/11*b**4 - 4/11 - c*b**2 = 0?
-1, -2/5, 1
Let w = 67792 + -338959/5. Factor 0*q**2 + 1/5*q**3 - w*q + 0.
q*(q - 1)*(q + 1)/5
Let h(d) be the third derivative of -d**6/60 + 29*d**5/6 - 1462*d**4/3 + 13872*d**3 - 1009*d**2 - 3. Solve h(k) = 0 for k.
9, 68
Let q be 14/((65/180)/(-13)). Let b be (-4320)/q + -8 + 0. What is p in 2/7*p**4 - 4/7*p**3 + b*p - 2/7 + 0*p**2 = 0?
-1, 1
Factor 332/3 - 1/6*x**2 + 55*x.
-(x - 332)*(x + 2)/6
Let n be (-488)/50 - (26 + -36). Let q = 143/75 - n. Factor q*u**3 - 7/3*u**2 + 1/3*u**5 + 0 + 7/3*u**4 - 2*u.
u*(u - 1)*(u + 1)**2*(u + 6)/3
Let z = -847 - -849. Factor -1342*k**2 - 1342*k**z + 38*k + 2674*k**2 + 8.
-2*(k - 4)*(5*k + 1)
Let w(a) be the third derivative of a**6/60 - 163*a**5/135 - 29*a**4/12 + 74*a**3/27 + 434*a**2. Factor w(p).
2*(p - 37)*(p + 1)*(9*p - 2)/9
Suppose -1/5*t**5 + 86/5*t**2 - 51/5*t + 4/5*t**4 - 18 + 52/5*t**3 = 0. What is t?
-3, -1, 1, 10
Let s = 6834 - 20486/3. Let l(o) be the second derivative of -24 - 6*o**2 + 0*o**5 - 2*o**4 + o - s*o**3 + 2/15*o**6. Solve l(r) = 0.
-1, 3
Factor -5/2*o**2 - 45/2*o + 55.
-5*(o - 2)*(o + 11)/2
Let o be 219/369 + (-1326)/(-18122). Factor o - 2/3*q**2 + 0*q.
-2*(q - 1)*(q + 1)/3
Suppose 1/3*o**2 - 281/3*o - 284 = 0. What is o?
-3, 284
Let n(a) be the first derivative of 2/21*a**3 + 2/7*a**2 - 12 + 0*a. Factor n(h).
2*h*(h + 2)/7
Let r be 6 - (-8 - (4 + -10)). Let 9 + r*m**3 + 28*m**2 + 18 + 1 + 52*m - 12 + 16*m**2 = 0. What is m?
-4, -1, -1/2
Factor 22/5*l**2 + 2/5*l**4 + 2/5*l**5 - 18/5*l**3 + 0 - 8/5*l.
2*l*(l - 1)**3*(l + 4)/5
Let d(z) be the first derivative of 0*z**2 + 0*z - 1/3*z**4 + 4/3*z**3 - 36. Solve d(f) = 0.
0, 3
Let g(p) be the first derivative of -2*p**6/3 - 128*p**5/5 - 308*p**4 - 3136*p**3/3 - 832. Factor g(b).
-4*b**2*(b + 4)*(b + 14)**2
Let n = 339/7 + -48. Let l = -4690 - -4690. Suppose l + 9/7*j - n*j**2 = 0. Calculate j.
0, 3
Let j = 72 - 70. Factor -43 + 3*x**2 + 9*x - j + 9 - 42*x.
3*(x - 12)*(x + 1)
Let p(u) be the third derivative of 0 + 53/24*u**6 + 53/6*u**5 + 2/7*u**7 + 5/336*u**8 + 7*u**2 + 20*u**4 + 80/3*u**3 + 0*u. Let p(o) = 0. Calculate o.
-4, -2, -1
Suppose 3*a = 4*a - 6*a. Let i be (3 - a) + 0/(-23). Factor -i + 12*l**4 + 2*l**5 + 22*l**3 + 4*l**2 - 24*l - 5 - 8.
2*(l - 1)*(l + 1)*(l + 2)**3
Let l(o) be the first derivative of 0*o + 39 + 8*o**2 - 4/3*o**3. What is z in l(z) = 0?
0, 4
Let n be (-31 - 362/(-12))/((-1)/(12/45)). Suppose -4/9*c**2 + 16/9*c + 0 - n*c**3 = 0. Calculate c.
-4, 0, 2
Let f(o) be the third derivative of -o**6/40 + 41*o**5/20 - 399*o**4/8 - 441*o**3/2 + 190*o**2 + 18. Factor f(s).
-3*(s - 21)**2*(s + 1)
Let g(f) be the second derivative of 11/3*f**4 + 8/15*f**6 + 21/10*f**5 + 1/21*f**7 - 2*f + 8/3*f**3 - 126 + 0*f**2. Find o, given that g(o) = 0.
-4, -2, -1, 0
Let u(p) be the third derivative of -p**7/8820 + p**6/504 + p**5/30 + 7*p**4/24 - p**3/6 + p**2 + 1. Let z(h) be the second derivative of u(h). Factor z(j).
-2*(j - 7)*(j + 2)/7
Let j be ((1 + 1)*1/(-6))/((-484)/2904). Factor 13/3*r**3 + 11/3*r**j - 2/3*r + 0.
r*(r + 1)*(13*r - 2)/3
Let n(r) be the second derivative of r**6/80 + 579*r**5/160 + 4509*r**4/16 - 7105*r**3/4 + 7203*r**2/2 + 5526*r. Let n(x) = 0. Calculate x.
-98, 1, 2
Let s(h) be the third derivative of -h**7/42 + 5*h**6/8 - 59*h**5/12 + 75*h**4/8 - 6400*h**2. Factor s(b).
-5*b*(b - 9)*(b - 5)*(b - 1)
Factor -42 - 2*r**3 - 24*r + 74*r**2 + 4*r**3 - 10*r - 64*r**2.
2*(r - 3)*(r + 1)*(r + 7)
Let r(a) be the second derivative of -a**7/2520 - 17*a**6/1440 + 3*a**5/80 - a**4/12 + 8*a**3 - 3*a - 16. Let g(p) be the third derivative of r(p). Factor g(c).
-(c + 9)*(2*c - 1)/2
Let t(r) be the first derivative of -r**4/14 - 8*r**3/21 + 55*r**2/7 - 100*r/7 + 877. Factor t(b).
-2*(b - 5)*(b - 1)*(b + 10)/7
Let r(u) be the second derivative of -u**8/47040 - u**7/8820 + 35*u**4/6 + 55*u. Let j(y) be the third derivative of r(y). Determine i so that j(i) = 0.
-2, 0
Suppose -4/7*f**5 + 5952/7*f + 3008/7 + 156/7*f**4 + 1408/7*f**3 + 4384/7*f**2 = 0. Calculate f.
-2, 47
Let d(f) be the third derivative of f**6/2340 + f**5/260 - f**4/39 - 41*f**3/6 - 20*f**2. Let h(u) be the first derivative of d(u). Suppose h(g) = 0. What is g?
-4, 1
Factor 139 + 1/3*x**2 + 418/3*x.
(x + 1)*(x + 417)/3
Let i(s) be the first derivative of -5*s**4/4 - 25*s**3/3 + 90*s**2 + 900*s + 1289. Let i(d) = 0. Calculate d.
-6, -5, 6
Let p(a) be the third derivative of a**7/105 - 11*a**6/60 - 68*a**5/15 - 76*a**4/3 + 476*a**2 - 3. Let p(k) = 0. Calculate k.
-4, 0, 19
Let t(o) be the second derivative of -1944*o**2 - 1260*o**3 - 1153/4*o**4 - 1/10*o**6 + 64 + 21/2*o**5 + 2*o. Factor t(h).
-3*(h - 36)**2*(h + 1)**2
Let j be (-858)/77 - ((8 - 15) + -5). Factor -6/7*y**2 - 12/7*y**3 + 0*y**4 + 3/7*y**5 + j + 9/7*y.
3*(y - 2)*(y - 1)*(y + 1)**3/7
Let o(z) be the second derivative of 25/6*z**3 + 2 + 17*z - 1/24*z**4 - 625/4*z**2. Factor o(u).
-(u - 25)**2/2
Let f(x) be the second derivative of -x**4/66 - 238*x**3/33 + 239*x**2/11 - 16*x - 24. Factor f(y).
-2*(y - 1)*(y + 239)/11
Let g be ((-28)/16 + (5 - 3))*(-4)/(-10). Let a(s) be the third derivative of 1/150*s**5 + 0 + g*s**3 - 16*s**2 + 0*s - 1/24*s**4. Factor a(h).
(h - 1)*(2*h - 3)/5
Suppose 111*o + 34*o = 350 + 85. Let s(i) be the third derivative of -2*i**2 - 1/15*i**o + 1/150*i**5 + 0*i + 0 + 0*i**4. Factor s(g).
2*(g - 1)*(g + 1)/5
Factor -108*z - 19 + 208788*z**4 - 88*z**3 - 152*z**2 - 9 - 208800*z**4 + 4*z**5.
4*(z - 7)*(z + 1)**4
Factor -2/15*o**2 - 20*o + 0.
-2*o*(o + 150)/15
Let d(a) be the second derivative of a**5/190 + 83*a**4/38 + 5040*a**3/19 - 47628*a**2/19 + 3625*a. Factor d(o).
2*(o - 3)*(o + 126)**2/19
Let m(h) be the second derivative of 2*h**7/105 + 11*h**6/15 - h**5/15 - 11*h**4/3 + 13*h**2/2 - 5*h + 8. Let f(c) be the first derivative of m(c). Factor f(o).
4*o*(o - 1)*(o + 1)*(o + 22)
Let p(r) be the second derivative of r**4/16 - 108*r**3 + 69984*r**2 + 2701*r. Solve p(f) = 0.
432
Let t(r) be the first derivative of 7*r**6/8 + 19*r**5/3 + 205*r**4/24 + 5*r**3 + 33*r**2 - 155. Let q(o) be the second derivative of t(o). Factor q(z).
5*(z + 3)*(3*z + 1)*(7*z + 2)
Let l(g) = -2*g**3 - g**2 + g - 7. Let x(r) = 9*r**3 + 42*r**2 - 341*r + 35. Let u(o) = -5*l(o) - x(o). Factor u(p).
p*(p - 21)*(p - 16)
Let x(i) be the third derivative of 0*i + 0 - 1/840*i**7 + 1/24*i**4 - 1/80*i**5 + 1/6*i**3 - 1/120*i**6 + 120*i**2. Factor x(n).
-(n - 1)*(n + 1)*(n + 2)**2/4
Let d be (90/42)/((9672/(-217))/(-26)). Suppose -5/4*y**4 + 35/4*y**3 + 0 - d*y**5 + 5/4*y**2 - 15/2*y = 0. What is y?
-3, -1, 0, 1, 2
Suppose 31 = 5*q + 1. Determine o so that -48*o - 107 - q*o**2 + 0*o**3 + 39 + 2*o**3 + 12 = 0.
-2, 7
Suppose 0 = 2*u + 13 - 17. Suppose 3*o - u*b = -o + 64, 5*b + 58 = 4*o. Factor -35*z**4 - 40*z**5 - o*z**4 + 88*z**3 + 44*z**5 + 104*z**3 - 144*z**2.
4*z**2*(z - 6)**2*(z - 1)
What is t in -3*t**5 + 212*t**3 + 422*t**3 - 2*t**5 - 775 - 601*t**3 + 590*t**2 + 185*t**4 - 983*t**3 + 955*t = 0?
-1, 1, 5, 31
Suppose 802*q = 2826*q. Determine m so that 1/2*m - m**2 + q - 7/2*m**5 - 51/8*m**3 + 83/8*m**4 = 0.
-2/7, 0, 1/4, 1, 2
Let s(t) = t - 1. Let y(c) be the second derivative of -12*c - 1/6*c**3 + 0 - 1/2*c**2 + 11/12*c**4. Let u(n) = 4*s(n) - 4*y(n). Let u(w) = 0. What is w?
0, 2/11
Suppose -2*n + 6*n = 4*u + 140, -u + 4*n = 23. Let d = u + 40. Solve 12*i**2 - d + 9*i**2 - 25*i**2 + 5 = 0.
-1, 1
Suppose -29*s + 26*s + 2*t + 21 = 0, -4*s = 2*t. Let m(o) be the second derivative of -1/9*o**s - 1/72*o**4 - 4*o + 0 - 1/4*o**2. Factor m(r).
-(r + 1)*(r + 3)/6
Suppose -831*r - 3*w = -836*r + 19, 3*r - 2*w = 12. Let -2/5*k**3 - 28/5*k**r - 26*k - 40 = 0. Calculate k.
-5, -4
Suppose 0 = 3*s - j - 380, 4*s - 4*j = -5*j + 495. Let x(p) = p**3 + 18*p**2 + 3. Let l be x(-18). What is i in 20*i**2 + 109*i - 4*i**3 + 0*i**l - s*i = 0?
0, 1, 4
Let n(t) be the second derivative of 1/80*t**6 + 0*t**2 - 1/16*t**4 - 43*t + 2 + 0*t**3 - 3/160*t**5. Factor n(z).
3*z**2*(z - 2)*(z + 1)/8
Let i be 55/55 - 1*-2. Solve -26*g**3 + 13*g**3 - 146*g + 225*g**2 - 124*g - 47*g**i + 5*g**4 = 0.