 b**3 - 20*b**2 + 18*b - 11. Let r be a(19). Let n = 56 + r. Factor n*o**4 + 2*o**2 + 14*o + 28*o**4 - 2 - 36*o**3 + 54*o**5 - 22*o**2.
2*(o + 1)**2*(3*o - 1)**3
Let f = -2451 - -2451. Factor -5/3*y**2 + f - 1/3*y**3 + 0*y.
-y**2*(y + 5)/3
Let w(v) be the third derivative of -v**8/5040 - 29*v**7/1260 + v**6/6 + 4*v**5/15 + 7*v**3/6 - 118*v**2. Let i(y) be the third derivative of w(y). Factor i(p).
-4*(p - 1)*(p + 30)
Let s be (-1215)/(-2025) - (-2)/30. Let h(i) be the second derivative of 0*i**2 + 5*i - 1/5*i**5 + 0*i**4 + s*i**3 + 0. Factor h(r).
-4*r*(r - 1)*(r + 1)
Let d be (0 - 0)/(10 + (-88)/11). Let k(b) be the first derivative of 1/32*b**4 - 13 + d*b + 9/16*b**2 - 1/4*b**3. Factor k(w).
w*(w - 3)**2/8
Solve 770/3 - 5/6*x**2 - 1535/6*x = 0.
-308, 1
Let i(m) be the third derivative of -m**6/40 - 53*m**5/20 - 77*m**4 + 1176*m**3 + 663*m**2 + 4. Factor i(t).
-3*(t - 3)*(t + 28)**2
Determine u, given that 1/6*u**2 - 9*u + 53/6 = 0.
1, 53
Let l(z) be the second derivative of 26*z + 0 + 85/12*z**4 + 15*z**2 - 115/6*z**3. Factor l(n).
5*(n - 1)*(17*n - 6)
Let h(o) be the second derivative of 1/3*o**4 + 0*o**3 + 0*o**2 - 22/15*o**6 - 2*o**5 - 6 - 6*o. Factor h(m).
-4*m**2*(m + 1)*(11*m - 1)
What is k in -33987894*k - 941 - 2*k**2 + 33988866*k - 29 = 0?
1, 485
Suppose -h + 3*m = 23299 - 23263, -4*h = -4*m + 48. Suppose -6*y - 79/3*y**4 + h - 43*y**2 - 179/3*y**3 - 11/3*y**5 = 0. Calculate y.
-3, -1, -2/11, 0
Let f(y) be the second derivative of y**5/80 - 23*y**4/8 + 385*y**3/2 + 1225*y**2 + 3634*y. Let f(h) = 0. What is h?
-2, 70
Let d be 4 - (-35)/40 - 9/(-72). Let y(p) be the second derivative of 1/84*p**7 + 0*p**2 + 19*p + 0*p**3 + 0*p**4 + 0 + 1/60*p**6 - 1/20*p**d. Factor y(t).
t**3*(t - 1)*(t + 2)/2
Let m(j) be the second derivative of 85 - 2*j + 10/11*j**2 + 1/11*j**3 - 1/66*j**4. Factor m(b).
-2*(b - 5)*(b + 2)/11
Let y be 40/(-665)*3 - ((-156)/(-91) - 2). Factor y*w**2 + 12/19 - 10/19*w.
2*(w - 3)*(w - 2)/19
Suppose 0*h = 5*h + 3*q - 27, -3*q = 2*h - 18. Factor 25*v**2 + 2*v - 18699*v**h + 18689*v**3 + 28*v - 5*v**4.
-5*v*(v - 2)*(v + 1)*(v + 3)
Factor -16809665812887 - 2026120000*z**2 - 75066881779*z + 379293041561*z + 2930371*z**3 - 10927916987113 + 2545629*z**3 + 4*z**5 - 7400*z**4 + 70606040218*z.
4*(z - 370)**5
Let z(t) be the third derivative of -79*t**2 - 7/10*t**5 + 0*t**3 + 1/35*t**7 + 0*t - 7/40*t**6 - 5/8*t**4 + 0. Let z(k) = 0. Calculate k.
-1, -1/2, 0, 5
Suppose -3/5*z**3 + 3/5*z - 48/5 + 48/5*z**2 = 0. Calculate z.
-1, 1, 16
Suppose 5*f + 17 = 27. Factor -f*x**3 - 30*x**2 + 3*x - 5 - 21*x - 21 - 36*x.
-2*(x + 1)**2*(x + 13)
Let k(l) be the first derivative of 11*l**4 - 21*l + l**4 - 108 - l**5 - 4*l - 30*l**3 - 2*l**4 + 40*l**2. Solve k(t) = 0 for t.
1, 5
Let y(c) be the first derivative of -360*c**2 + 405*c + 230/3*c**3 + 20*c**4 + c**5 + 107. Find k such that y(k) = 0.
-9, 1
Let p be (-13 + -1)*(66400/1750 - 38). Let p*a**4 + 2/5*a - 4/5*a**3 + 4/5 + 2/5*a**5 - 8/5*a**2 = 0. Calculate a.
-2, -1, 1
Suppose h = -h + 4. Let y be 0 + (-3)/(-9) + 728/12. Factor y*r**3 - 4*r**h + 5*r**4 - r**4 + 4*r - 65*r**3.
4*r*(r - 1)**2*(r + 1)
Let m = 3003 - 2999. Let p(h) be the second derivative of 0*h**2 + 1/84*h**m + 0 + 15*h - 2/21*h**3. Suppose p(f) = 0. Calculate f.
0, 4
Let q(f) = -12 - 305*f - 3*f**2 - 310*f + 592*f. Let w be q(-7). Let 0 - 3/7*b**3 - 15/7*b - 18/7*b**w = 0. What is b?
-5, -1, 0
Let j(t) be the second derivative of t**2 + 10 + 3/20*t**5 - 8*t - 31/18*t**3 + 4/9*t**4. Find k, given that j(k) = 0.
-3, 2/9, 1
Let p(w) be the first derivative of -55/9*w**3 - 15/4*w**4 + 40 + 0*w - 5/3*w**2. Determine a so that p(a) = 0.
-1, -2/9, 0
Let p(j) be the first derivative of -13/2*j**3 + 3/20*j**5 + 15*j**2 - 20 + 1/2*j**4 + 7*j. Let t(v) be the first derivative of p(v). Factor t(m).
3*(m - 2)*(m - 1)*(m + 5)
Let l be 2114 + 7/((-49)/42). What is n in 4*n**2 + 9821 - n + 1123 + 106*n - l - 481*n = 0?
47
Let i(f) be the third derivative of f**6/40 - 39*f**5/20 - 41*f**4/4 + 20*f**2 + 72. Factor i(v).
3*v*(v - 41)*(v + 2)
Let l(x) be the first derivative of -3*x**4/16 - 1055*x**3/4 + 2434. Solve l(g) = 0 for g.
-1055, 0
Let c(q) be the second derivative of -q**7/5880 - q**6/1260 + q**5/280 + q**3/2 + q**2 + 49*q. Let b(t) be the second derivative of c(t). Factor b(n).
-n*(n - 1)*(n + 3)/7
Let t(o) be the first derivative of o**7/231 + 2*o**6/165 - 3*o**5/110 + 63*o - 16. Let r(g) be the first derivative of t(g). Find y, given that r(y) = 0.
-3, 0, 1
Factor 16 + 108/7*i**2 - 222/7*i + 2/7*i**3.
2*(i - 1)**2*(i + 56)/7
Suppose 100*k = 184*k - 336. Let i(j) be the first derivative of 3/2*j**3 + 7/30*j**5 + 23/24*j**k + 13/12*j**2 + 1/3*j + 15. Factor i(n).
(n + 1)**3*(7*n + 2)/6
Let o = 4 + 59. Suppose o = 2*y + 7. Let -26*b**2 + 8*b**3 + 0*b**3 - 8 + y*b - 4*b**2 + b**3 = 0. Calculate b.
2/3, 2
What is w in -357 + 1779/2*w + 15/2*w**2 = 0?
-119, 2/5
Suppose 5/8*w**5 - 1/8*w + 63/4*w**2 + 6*w**4 - 15/4 + 35/2*w**3 = 0. What is w?
-5, -3, -1, 2/5
Let v(h) = 30*h**2 - 123*h - 165. Let y(s) = -s**3 - 29*s**2 + 122*s + 158. Let f(g) = -2*v(g) - 3*y(g). Let f(t) = 0. Calculate t.
-12, -1, 4
Determine h, given that 1340/7 + 2/7*h**2 + 674/7*h = 0.
-335, -2
Let z(g) be the second derivative of 1/38*g**4 + 0*g**2 + 0*g**3 - 1/399*g**7 - 60 + g + 1/190*g**5 - 1/95*g**6. Solve z(x) = 0.
-3, -1, 0, 1
Let l(o) be the third derivative of o**5/60 + 23*o**4/24 + 17*o**3/2 + 28*o**2. Let u be l(-21). Factor u*c**3 + 34*c**3 - 6*c**4 - 27*c**3 - 14*c**2 + 4*c.
-2*c*(c - 1)**2*(3*c - 2)
Let y = 996722/155755 - -22/31151. Let -46/15*m**2 - y*m - 8/15 = 0. Calculate m.
-2, -2/23
Let v(a) be the second derivative of -3/2*a**2 + 1/3*a**3 + 1/12*a**4 - 2*a + 36. Find m such that v(m) = 0.
-3, 1
Suppose 8*t + 57*t - 649 - 391 = 0. Let q(o) be the third derivative of -2/27*o**3 + 0*o + 0 + 1/270*o**5 - t*o**2 + 1/108*o**4. Factor q(k).
2*(k - 1)*(k + 2)/9
Let o(u) be the first derivative of u**3/8 + 477*u**2/16 + 237*u/4 - 415. Let o(l) = 0. Calculate l.
-158, -1
Suppose -3*r + 286 = 10*r. Suppose 0 = -r*j - 15 + 345. Factor 9*z**3 - j*z**2 - 1/2 - 23/4*z.
(z - 2)*(6*z + 1)**2/4
Suppose -4*j = -7*j + 12. Let q be -11 - -1 - (4025/(-200) + 10). Find l such that -23/4*l**2 - 33/8*l - 9/8 - 15/4*l**3 - q*l**5 - 9/8*l**j = 0.
-3, -1
Find k such that -38/5*k**2 - 2/5*k**3 - 18 - 126/5*k = 0.
-15, -3, -1
Let c = 5464801/480 - 11385. Let r(t) be the third derivative of 0 + 1/240*t**5 - 1/24*t**4 - 1/6*t**3 + 0*t - 14*t**2 + c*t**6. Factor r(n).
(n - 2)*(n + 1)*(n + 2)/4
Suppose -5*o - 11 = -l + 4, 0 = -3*l + 5*o + 45. Factor -l - 5*f**2 - 16*f + f + 0*f - 5*f.
-5*(f + 1)*(f + 3)
Let y(h) = -3*h**4 - 67*h**3 - 71*h**2 + 65*h + 70. Let p(u) = -2*u**4 - u**2 - u + 1. Let n(i) = 6*p(i) - 3*y(i). Factor n(v).
-3*(v - 68)*(v - 1)*(v + 1)**2
Let u(g) be the first derivative of -150 - 6/5*g - 2/15*g**3 + 4/5*g**2. Factor u(m).
-2*(m - 3)*(m - 1)/5
Let w(b) = -4*b - 123. Let o be w(-33). Factor -o*q**2 - 10*q**2 + 23*q**2 + 8*q**3 + 4*q**4.
4*q**2*(q + 1)**2
Let h(k) be the first derivative of 3/25*k**5 + 1/20*k**4 - 17 - 11/15*k**3 + 6/5*k**2 - 4/5*k - 1/30*k**6. Factor h(u).
-(u - 2)*(u - 1)**3*(u + 2)/5
Let u(i) be the first derivative of -4*i**3/3 + 1244*i**2 + 2492*i + 1652. Solve u(n) = 0.
-1, 623
Factor 8542149 - 8542279 + 2*v**3 - 4*v + 130*v**2 + 2*v.
2*(v - 1)*(v + 1)*(v + 65)
Let f(z) be the third derivative of -z**5/20 - 1111*z**4/4 - 1234321*z**3/2 - 2244*z**2. Find x, given that f(x) = 0.
-1111
Let d(s) be the third derivative of -s**6/360 - 197*s**5/90 - 13195*s**4/24 - 8450*s**3 + 2831*s**2. Let d(l) = 0. What is l?
-195, -4
Factor -2/13*c**2 + 60/13*c + 608/13.
-2*(c - 38)*(c + 8)/13
Let r = 81961 - 81959. Factor 1/4*p**5 + 9/2*p**3 + 13/4*p - 11/2*p**r - 3/4 - 7/4*p**4.
(p - 3)*(p - 1)**4/4
Let s(o) be the first derivative of -o**4/2 + 52*o**3/3 - 91*o**2 + 132*o + 356. Factor s(g).
-2*(g - 22)*(g - 3)*(g - 1)
Suppose 8376 = -28*u + 8488. Suppose 0*x - 2*x = -4. Suppose -8/7*r**3 + 4/7*r**u + 0 + 4/7*r**5 + 0*r**x + 0*r = 0. What is r?
-2, 0, 1
Factor -2/7*u**2 + 498/7*u + 0.
-2*u*(u - 249)/7
Suppose 2*u + 2*r = -0*r + 22, 2*u + 4*r = 20. Factor u*g**2 + 8*g**2 + 5292 - 252*g + 16*g**2 - 41*g**2 + 8*g**2.
3*(g - 42)**2
Let b = 228 - 52. Factor 86 