Let n = z + -523. Solve 1/4*b**4 + n*b**5 - 3/2*b**3 + 5/4*b - 3/4 + 1/2*b**2 = 0 for b.
-3, -1, 1
Let p(g) be the first derivative of 2*g**5/5 - 5*g**4/2 + 16*g**3/3 - 4*g**2 + 3641. Suppose p(c) = 0. What is c?
0, 1, 2
Let 3*o**2 + 1030*o - 3618 + 2*o**2 + 2754 + 1889 = 0. What is o?
-205, -1
Let t(g) = -3*g**3 + 47*g**2 - 4*g - 47*g**2 + 8 + 4*g**3. Let v be t(0). Factor 5*n**2 - n + 3*n**2 - v*n**2 + n**2.
n*(n - 1)
Let a = 19 + -14. Suppose n + 0*n - 28 = -a*c, -4*n - 2*c + 76 = 0. Factor 14*k + 4*k**4 - 16 + n*k - 4*k**2 + 4*k**5 - 11*k**3 - 9*k**3.
4*(k - 1)**3*(k + 2)**2
Let o(k) be the first derivative of 9*k**2 + 2/3*k**3 - 72*k - 88. What is n in o(n) = 0?
-12, 3
Let z(n) be the third derivative of 0*n + 1/280*n**7 - 73*n**2 + 9/8*n**3 - 1/40*n**6 - 1/40*n**5 + 3/8*n**4 + 0. Factor z(o).
3*(o - 3)**2*(o + 1)**2/4
Let x(i) be the first derivative of -1/9*i**3 + 7/3*i + 139 + i**2. Factor x(v).
-(v - 7)*(v + 1)/3
Factor 2/3*p**4 + 35/3*p + 0 - 271/6*p**2 - 37/6*p**3.
p*(p - 14)*(p + 5)*(4*p - 1)/6
Let x(v) = v**3 + 11*v**2 - 69*v - 374. Let f be x(-14). Factor 0*s**3 - 8/7*s + 12/7*s**2 - 4/7*s**f + 0.
-4*s*(s - 1)**2*(s + 2)/7
Let n(p) be the second derivative of p**5/10 - p**4/6 - 34*p**3/3 - 56*p**2 - 454*p. Factor n(b).
2*(b - 7)*(b + 2)*(b + 4)
Let z(i) be the second derivative of i**4/12 - i**3/6 - i**2/2 - 25*i. Let v(a) = -9*a**2 + 4*a + 4. Let c(d) = -3*v(d) - 24*z(d). Factor c(q).
3*(q + 2)**2
Suppose 0 = -4*v - 5*n + 91, -26 = 3*n - 11. Let 25*j + 54*j**2 - 3*j - 23*j**2 + 60 - v*j**2 = 0. What is j?
-6, -5
Factor 0*h**2 - 27 + 27 - 8*h**2 + 4*h**2 + 88*h - 84.
-4*(h - 21)*(h - 1)
Suppose 3220*n = 3096*n + 1488. Factor -248/3*t + 28/3 - n*t**2.
-4*(t + 7)*(9*t - 1)/3
Suppose -39*c - h - 483 = -41*c, -1245 = -5*c - 5*h. Let y = c + -1218/5. What is k in 0 - 14/5*k - y*k**2 = 0?
-7, 0
Let j(i) be the third derivative of -i**5/360 + i**4/48 + i**3/9 - i**2 - 352*i + 2. Suppose j(r) = 0. What is r?
-1, 4
Let h be 10/(6 + (-9 - -1)) - -25. Factor 11*v**2 + 34*v + 3*v**3 - h - 18*v**2 + 3*v**3 - 9*v**2 - 4*v**3.
2*(v - 5)*(v - 2)*(v - 1)
Let y = -1670522/9 + 185614. Determine s, given that 32/9*s**3 + 0*s + y*s**4 + 0 + 16/3*s**2 = 0.
-6, -2, 0
Let x(s) = 15*s**2 - 4025*s - 4120. Let q(o) = -10*o**2 + 2683*o + 2749. Let t(k) = -10*q(k) - 7*x(k). Let t(z) = 0. What is z?
-1, 270
Let i(c) = 7*c**3 + 14*c**2 - 20*c - 44. Let j(h) = -h**3 - 2*h**2 + 2. Let u(g) = i(g) + 2*j(g). Let u(t) = 0. Calculate t.
-2, 2
Let o(k) be the second derivative of k**8/73920 - k**7/990 - k**4/4 - 9*k**2/2 + 4*k + 8. Let l(w) be the third derivative of o(w). Factor l(u).
u**2*(u - 28)/11
Let p(l) be the first derivative of -3*l**4/4 + 10*l**3 + 144*l**2 + 930. Factor p(y).
-3*y*(y - 16)*(y + 6)
Let s(h) = 7*h**2 + h - 2. Let m(v) = 43*v**2 + 4*v - 27. Let q(o) = m(o) - 6*s(o). Suppose q(z) = 0. Calculate z.
-3, 5
Let i(r) be the third derivative of 75*r**2 + 0*r - 23/132*r**4 + 0 + 1/660*r**5 + 529/66*r**3. Find s such that i(s) = 0.
23
Let m(y) be the third derivative of 55/3*y**4 - 19/15*y**5 + 70*y**2 - 200/3*y**3 - 23/60*y**6 + 4/105*y**7 + 1/168*y**8 + 0 + 0*y. Factor m(z).
2*(z - 2)**3*(z + 5)**2
Suppose -455*q - 120 = -461*q. Let a(d) be the first derivative of 2 - q*d - 35/2*d**2 + 10*d**4 + 2*d**5 - 5/6*d**6 + 10/3*d**3. Solve a(y) = 0.
-1, 1, 4
Suppose -3*h = 18 - 24. Let g(s) = -s**2 + 57*s + 2. Let t(i) = i**2 - 114*i - 5. Let c(u) = h*t(u) + 5*g(u). Factor c(b).
-3*b*(b - 19)
Let v(l) be the first derivative of 0*l**2 - 66 + 0*l - 3/35*l**5 - 8/7*l**3 - 9/14*l**4. Factor v(i).
-3*i**2*(i + 2)*(i + 4)/7
Let b(f) be the third derivative of 0 - 18*f**2 - 150/13*f**3 + 0*f - 1/780*f**6 - 16/195*f**5 - 95/52*f**4. Factor b(q).
-2*(q + 2)*(q + 15)**2/13
Let z(o) be the first derivative of 32 + 0*o**2 - 1/14*o**3 - 3/140*o**5 - 14*o + 1/14*o**4. Let m(d) be the first derivative of z(d). Factor m(f).
-3*f*(f - 1)**2/7
Suppose 2*z - 68 = 5*c, 34 = z - 0*c + 2*c. Suppose 2 - 15*j**2 - 66 + 124*j + 5*j**2 - 16 - z*j**2 = 0. What is j?
1, 20/11
Let x(o) be the third derivative of o**6/180 - 2*o**5/45 + 5*o**4/36 - 2*o**3/9 - 2332*o**2. Factor x(s).
2*(s - 2)*(s - 1)**2/3
Let n(c) be the first derivative of 2*c**3 - 1739*c**2/2 - 290*c + 9528. Factor n(m).
(m - 290)*(6*m + 1)
Let z(i) be the first derivative of 1250*i - 50*i**2 + 2/3*i**3 + 280. Factor z(s).
2*(s - 25)**2
Let a be (-343)/(-6272)*48*12/21. Factor 9/2*i + 60 - a*i**2.
-3*(i - 8)*(i + 5)/2
Factor 1156 + 1/7*f**3 + 1632/7*f + 75/7*f**2.
(f + 7)*(f + 34)**2/7
Let n = 3523 + -3518. Let i(b) be the first derivative of -22 + 2/105*b**n + 5/21*b**4 + 32/21*b + 22/21*b**3 + 40/21*b**2. Find u such that i(u) = 0.
-4, -1
Let q(h) = -2*h**2 + 1. Let i(r) = -r**3 + 39*r**2 - 456*r + 1264. Let v(j) = i(j) - 4*q(j). Factor v(z).
-(z - 35)*(z - 6)**2
Let u be 45/(-10)*6/(-9). Factor -21*k**5 + 10*k**5 + 24*k**4 + 38*k**u + 13*k + 58*k**3 + 104*k**2 + 23*k + 7*k**5.
-4*k*(k - 9)*(k + 1)**3
Let x(p) be the first derivative of p**6/21 - 18*p**5/35 + 4*p**4/7 + 40*p**3/7 + 2861. Suppose x(s) = 0. Calculate s.
-2, 0, 5, 6
Let a(f) be the second derivative of -5*f**7/42 - 19*f**6/2 + 119*f**5/2 - 905*f**4/6 + 405*f**3/2 - 305*f**2/2 - 470*f. Let a(u) = 0. Calculate u.
-61, 1
Let n = 284067 - 284039. Factor 16/5*r**2 + n*r**3 - 16/5*r + 0.
4*r*(5*r + 2)*(7*r - 2)/5
Let z(c) = 2*c**2 + 2*c - 14. Let r(x) = 13*x**2 - 200*x - 948. Let n(v) = r(v) - 6*z(v). Find b such that n(b) = 0.
-4, 216
Let v(p) be the third derivative of p**5/30 - 3*p**4/4 + 6*p**3 + 395*p**2 - 2. Solve v(k) = 0.
3, 6
Let j(v) be the third derivative of -v**7/1155 - v**6/220 + v**5/33 + 1435*v**2. Factor j(o).
-2*o**2*(o - 2)*(o + 5)/11
Suppose 0 = -2*o - 3*o + 5. Let g(w) = w**3. Let m = 1012 - 982. Let x(c) = -5*c**4 + 10*c**3 - 80*c**2. Let r(z) = m*g(z) + o*x(z). Factor r(j).
-5*j**2*(j - 4)**2
Suppose 0 = 9*i - 288 + 108. Let v be (i/42)/(205/738). Determine w so that -v*w**2 - 2/7*w**3 - 22/7*w - 12/7 = 0.
-3, -2, -1
Suppose -8*z = 49*h - 46*h + 53, -5*h + 241 = -4*z. Factor 3267*w**2 - h*w**3 - 143748*w + 2371842 + 1/8*w**4.
(w - 66)**4/8
Let 12307*p - 12219*p - 23*p**2 + 368 + 22*p**2 = 0. Calculate p.
-4, 92
Determine o, given that 2/5*o**2 + 0 + 58/5*o = 0.
-29, 0
Determine p, given that 873*p**2 - p**5 - 36*p**3 + 17*p**4 + 112*p - 497*p**2 - 468*p**2 = 0.
-2, 0, 1, 4, 14
Suppose 86/21*a**2 + 22/7 - 10/21*a**3 - 142/21*a = 0. What is a?
1, 33/5
Factor 3136/9 + 128/9*f**2 + 1232/9*f + 4/9*f**3.
4*(f + 4)*(f + 14)**2/9
Let h(p) be the first derivative of 5*p**4 + 0*p + 6*p**5 - 74 - 10*p**3 + 5/6*p**6 - 25/2*p**2. Factor h(x).
5*x*(x - 1)*(x + 1)**2*(x + 5)
Let l(f) = 3*f**3 - f**2 + 2. Let v(i) = -13*i**3 + 2*i**2 + 35*i - 8. Let d(h) = 4*l(h) + v(h). Factor d(z).
-z*(z - 5)*(z + 7)
Suppose -2*k + 6*k = 80. Let 58*a - 13*a - 13 - k - 9 - 3*a**2 = 0. Calculate a.
1, 14
Let m = -227 + 2963/13. Let a be -23 + 17 - 128/(-24)*3/2. Suppose -34/13*y**3 - m*y**a + 0 + 0*y + 32/13*y**4 + 14/13*y**5 = 0. Calculate y.
-3, -2/7, 0, 1
Let a(m) = 2*m**3 - 3*m**2 - 8*m + 16. Let k be a(-5). Let f = 273 + k. Let 0*l - 2/7*l**2 + 0 - 2/7*l**f - 4/7*l**3 = 0. Calculate l.
-1, 0
Let s be 270 + -3 + 4 - -2. Suppose 6*q**3 - 273 + s + 32*q**2 + 48*q - 2*q**3 = 0. What is q?
-6, -2, 0
What is s in -1145*s - 1566 - 555*s + 4*s**2 + 137*s + 2*s**2 - 3*s**2 = 0?
-1, 522
Find h such that 1797/5*h**2 - 53277*h - 815409/5 - 3/5*h**3 = 0.
-3, 301
Let y(w) be the third derivative of -13*w**2 - 1/5*w**6 + 12*w**3 + 2*w + w**4 - 1/105*w**7 + 0 - 7/6*w**5. Factor y(n).
-2*(n - 1)*(n + 1)*(n + 6)**2
Let m(s) be the second derivative of -s**2 - 1/100*s**5 + 13/30*s**3 + 2*s - 50 - 1/30*s**4. Solve m(z) = 0.
-5, 1, 2
Let s be 0 - (-2)/4 - (-99)/(-18). Let a be ((-2)/5)/(s/25). Determine p, given that -11*p + 6*p**2 + 4 + 6*p + 13*p - 2*p**a = 0.
-1
Let n = 32345/1903 - 2909/173. Suppose 4/11*z + 6/11*z**2 + 0 + n*z**3 = 0. What is z?
-2, -1, 0
Let v(b) be the second derivative of -b**5/240 - 5*b**4/48 + 219*b**2/2 + 137*b. Let x(d) be the first derivative of v(d). Solve x(r) = 0.
-10, 0
Let z(j) be the first derivative of -j**7/280 + j**6/160 + j**5/20 - j**4/8 - j**2 - 13*j - 16. Let l(n) be the second derivative of z(n). Factor l(p).
-3*p*(p - 2)*(p - 1)*(p +