ppose 0 = 49*n - 55*n + 42. Let u be 6/(n - (7 + -4)). Factor u*z + 1/2*z**2 + 0.
z*(z + 3)/2
Let u = 210 - 159. Suppose -u*l + 8 = -94. Factor 6 + 1/6*p**2 + l*p.
(p + 6)**2/6
Find t such that 1556/9*t**2 - 776/3 + 364/9*t + 4/9*t**4 + 404/9*t**3 = 0.
-97, -3, -2, 1
Find b such that 14/3*b**3 - 368/3*b**2 + 454/3*b - 100/3 = 0.
2/7, 1, 25
Let r(f) be the first derivative of -f**5/35 - 9*f**4/14 + 20*f**3/21 + 9*f**2/7 - 19*f/7 - 766. Factor r(n).
-(n - 1)**2*(n + 1)*(n + 19)/7
Let i(y) = 98*y**2 - 40*y - 18. Let t(a) = -99*a**2 + 39*a + 18. Let o be 6 - (-6)/(-36)*0. Let d(c) = o*i(c) + 7*t(c). Factor d(k).
-3*(5*k - 3)*(7*k + 2)
Let x(i) = -11*i**2 + 4642*i - 1792619. Let n(p) = 24*p**2 - 9285*p + 3585246. Let m(a) = 4*n(a) + 9*x(a). What is b in m(b) = 0?
773
Let b(z) be the second derivative of z**6/15 + 71*z**5/10 - 73*z**4/6 - 71*z**3/3 + 72*z**2 + 2079*z. Find a such that b(a) = 0.
-72, -1, 1
Let i(z) = z**4 + z**3 + z**2. Let u = 109 + -106. Let r(s) = -15*s**3 - 2*s**3 + 6*s**2 + 2*s**u. Let t(h) = -3*i(h) - r(h). Factor t(y).
-3*y**2*(y - 3)*(y - 1)
Factor 3*z**2 + 41 - 344 + z**2 - 584 + 131 - 80*z.
4*(z - 27)*(z + 7)
Let b(o) = -55*o**2 - 5*o - 20. Let z(x) = -21*x**2 - 2*x - 9. Let w(f) = 2*b(f) - 5*z(f). Factor w(u).
-5*(u - 1)*(u + 1)
Let w(x) = 4*x**4 + 31*x**3 + 64*x**2 + 84*x + 16. Let v(f) = -4*f**4 - 30*f**3 - 52*f**2 - 84*f - 16. Let q(l) = -10*v(l) - 15*w(l). Solve q(s) = 0.
-4, -2, -1/4
Let w(s) be the first derivative of -187 + 2/3*s + 11/9*s**3 + 11/6*s**2 - 3/5*s**5 - 5/4*s**4. Find h such that w(h) = 0.
-2, -1/3, 1
Let h be 78/52*(58/6 + 1). Suppose y + 20 = 5*y + 5*t, -3*y + 4*t - h = 0. Factor -2/5*z + 3/5*z**2 + 0 - 1/5*z**4 + y*z**3.
-z*(z - 1)**2*(z + 2)/5
Let l(v) = v**2 - 11*v + 7. Let o be l(8). Let u = 20 + o. Factor u*m**3 + m**2 - m + m - 2*m**3.
m**2*(m + 1)
Let n = -44309/72 - -4389/8. Let y = 67 + n. Factor -4/9*b**3 + 2/9 + 4/9*b + 0*b**2 - y*b**4.
-2*(b - 1)*(b + 1)**3/9
Factor 2218*z - 2613224 - 9278*z - 1531097 - 893931 - 2*z**2 - 1192198.
-2*(z + 1765)**2
Let u(r) be the third derivative of r**5/180 + 13*r**4/24 - 245*r**3/9 - 6*r**2 + 27*r. Factor u(h).
(h - 10)*(h + 49)/3
Let b = 138 + -930. Let r be (b/154)/(15/(-28)). Solve -24/5*u**3 + 96/5*u - 12/5 + r*u**4 - 189/5*u**2 = 0 for u.
-2, 1/4, 2
Let l(y) be the first derivative of 172*y**3 - 343*y**2/2 - 2*y/3 - 1016. Determine r, given that l(r) = 0.
-1/516, 2/3
Let l be 1 + 14/72 + (-2932)/6597. Factor 3/2*i - l*i**3 + 3/4*i**2 + 0.
-3*i*(i - 2)*(i + 1)/4
Let b(w) = w**4 - 4*w**3 + w**2 + 3. Let g(m) = -205*m**3 + 11023*m**2 - 10816*m - 3. Let n(s) = -b(s) - g(s). Factor n(p).
-p*(p - 104)**2*(p - 1)
Suppose 4*g - 93 = -5*w, -2*w - 3*g = 3*w - 96. Solve 56*m + 35*m**2 - w + 22*m**3 + 29 + 35*m**2 = 0.
-2, -1, -2/11
Let -145475*x**3 + 145215*x**3 + 147*x**2 + 87*x**4 + 24*x**2 + 2*x = 0. What is x?
-1/87, 0, 1, 2
Let n(h) be the second derivative of -5/2*h**3 + 27/4*h**2 - 13 + 1/8*h**4 + 4*h. What is t in n(t) = 0?
1, 9
Let j(m) be the second derivative of 2*m**7/21 - 8*m**6/15 + m**5/5 + 10*m**4/3 - 8*m**3/3 - 16*m**2 + m - 879. Solve j(p) = 0 for p.
-1, 2
Let j(b) be the first derivative of b**6/15 + b**5/10 - 3*b**4/2 + 11*b**3/3 - 4*b**2 + 104*b + 154. Let m(v) be the first derivative of j(v). Factor m(q).
2*(q - 1)**3*(q + 4)
Let p(d) = -d**4 - d**3 + 2*d**2 + 4*d + 3. Let w(b) = 7*b**4 - 25*b**3 + 124*b**2 - 206*b + 65. Let u(z) = -10*p(z) - 2*w(z). What is v in u(v) = 0?
1, 5, 8
Let n(w) be the first derivative of -6/5*w**2 + 123 - 16*w + 2/15*w**3. Factor n(b).
2*(b - 10)*(b + 4)/5
Let -15 - l**5 + 21*l**4 - 6*l**2 + 3*l**5 + 30*l**3 - 4277*l + 4244*l + l**5 = 0. What is l?
-5, -1, 1
Let v(j) = -5*j**3 - 8666*j**2 + 6108995*j + 8. Let u(r) = -7*r**3 - 11559*r**2 + 8145327*r + 11. Let x(h) = 8*u(h) - 11*v(h). Factor x(s).
-s*(s - 1427)**2
Let h(d) = -d**3 - 35*d**2 - 197*d - 26. Let x be h(-28). Factor -z**2 + 4*z**x - 20*z + 32 - z**2.
2*(z - 8)*(z - 2)
Let j(x) be the first derivative of -2/5*x**2 + 2/15*x**3 + 1/5*x**4 - 2/25*x**5 - 5 + 0*x. Factor j(p).
-2*p*(p - 2)*(p - 1)*(p + 1)/5
Let i = 149140 - 596551/4. Determine o so that 1/4*o**4 + 3/2*o - i - 3/2*o**3 + 2*o**2 = 0.
-1, 1, 3
Determine t, given that -35*t**2 + 11*t**2 - 615*t + 282*t + 4*t**3 + 225*t = 0.
-3, 0, 9
Let c be (-98116)/190 + 4/10. Let j = 518 + c. Factor -3/4*b**j - 17/4*b + 3/2.
-(b + 6)*(3*b - 1)/4
Let j = -3 + 5. Let b = 699 - 695. Factor 5*u - 39*u + 3*u**j + b*u.
3*u*(u - 10)
Let a(k) be the first derivative of 7/10*k**6 + 4*k**3 + 39/4*k**4 + 24/5*k**5 - 18/5*k**2 + 0*k + 84. Determine l so that a(l) = 0.
-3, -2, -1, 0, 2/7
Let a be (2*5/(-10))/((-1)/7). Suppose -h + 16 = 3*x, -a*x = -5*x - 4*h + 8. Factor 4/9*m**2 - 2/9*m - 2/9 + 4/9*m**3 - 2/9*m**5 - 2/9*m**x.
-2*(m - 1)**2*(m + 1)**3/9
Suppose 2*n = 2*s + 9 + 1, 7*s = -3*n - 5. Let j be (-9 - 21/s) + 9/10. Determine r so that j + 2/5*r**2 - 2*r = 0.
2, 3
Let l(x) be the third derivative of 2/3*x**3 - 7/24*x**4 - x + 0 - 1/40*x**6 - 7/30*x**5 + 15*x**2. Factor l(j).
-(j + 1)*(j + 4)*(3*j - 1)
Let t(j) be the third derivative of 3/20*j**6 - 1/10*j**5 + 0 + 0*j + 4/3*j**3 + 101*j**2 - 2/3*j**4. Factor t(s).
2*(s + 1)*(3*s - 2)**2
Factor 67500*y**3 - 134100*y**2 + 943 - 1973 - 1797*y + 1024.
3*(y - 2)*(150*y + 1)**2
Let j be (16/60)/((4304/(-1200) - (-44)/12)/1). Find c such that 4 - j*c**3 - 32/3*c + 29/3*c**2 + 1/3*c**4 = 0.
1, 2, 6
Suppose -76 = -u + 2*p, -6*p = 4*u - 5*p - 277. Suppose -130*f - 15*f - 5*f**3 + u + 97*f**2 - 17*f**2 = 0. What is f?
1, 14
Factor 159*j**3 - 158*j**2 + 949*j**4 + 887*j**4 - 1837*j**4.
-j**2*(j - 158)*(j - 1)
Let c(r) be the second derivative of r**7/126 - 2*r**6/45 - r**5/20 + 5*r**4/18 + 4*r**3/9 - 2275*r. Factor c(v).
v*(v - 4)*(v - 2)*(v + 1)**2/3
Let d(o) be the first derivative of 3*o**2 + 8 - 20/9*o - 10/27*o**3. Factor d(a).
-2*(a - 5)*(5*a - 2)/9
Let r be (20*(-12)/(-1260))/((-40)/(-644)). Find b, given that -44/5*b**2 - 136/15*b - r - 8/3*b**3 + 2/15*b**4 = 0.
-1, 23
Factor 284040*r + 4890*r**2 + 59*r**3 + 3032*r**2 + 132129 + 144547 - 509*r**2 - 10*r**3.
(r + 1)*(7*r + 526)**2
Suppose 14 = u + 6. Suppose 4*i = 2*i + u. Factor 4*r**3 + 4*r**2 + 11*r - 9*r - 6*r - i.
4*(r - 1)*(r + 1)**2
Let t(u) = -5*u + 218. Let a be t(43). Let s be 20/3 + (-2)/(-6). What is p in -p**2 - 3 + a*p + 0*p**2 - s*p = 0?
-3, -1
Let m(o) be the third derivative of o**6/24 + 419*o**5/12 - 2*o**2 - 179. Find d, given that m(d) = 0.
-419, 0
Factor 5/3*q**3 + 1330/3*q**2 + 1325/3*q + 0.
5*q*(q + 1)*(q + 265)/3
Suppose 30*q + 63074 = 63134. What is k in -27/5*k**q - 81/5*k - 3/5*k**3 - 81/5 = 0?
-3
Let g = 4262 + -4258. Let z(y) be the first derivative of -24 - g*y - 1/12*y**3 - y**2. What is a in z(a) = 0?
-4
Let f(o) be the first derivative of -o**6/2 + 8*o**5/5 + 7*o**4/4 - 32*o**3/3 + 10*o**2 + 615. Solve f(n) = 0 for n.
-2, 0, 1, 5/3, 2
Let k(s) = -29*s - 2810. Let g be k(-97). Factor 0 - 4*l + 8/3*l**g + 2/3*l**4 + 2/3*l**2.
2*l*(l - 1)*(l + 2)*(l + 3)/3
Let k(d) = -8*d**2 - 1884*d - 2805. Let q be k(-234). Let -15/2*v - 3/4*v**q + 0 + 33/4*v**2 = 0. What is v?
0, 1, 10
Let o(c) be the second derivative of c**5/15 - 115*c**4/9 - 1331*c. Factor o(l).
4*l**2*(l - 115)/3
Let x be (196146/(-66))/(-17) + (-2)/(-11). Let y be 5*651/x - 9. Determine c, given that -y*c**2 - 2/5*c**4 - 44/5*c - 14/5 - 4*c**3 = 0.
-7, -1
Let n(w) be the first derivative of 4*w**5/5 - 18*w**4 - 756*w**3 - 5832*w**2 + 816. Factor n(t).
4*t*(t - 36)*(t + 9)**2
Let g(d) be the first derivative of -4*d**3/15 - 1063*d**2/5 + 1064*d/5 - 4452. Factor g(o).
-2*(o + 532)*(2*o - 1)/5
Let m(c) be the third derivative of c**8/2520 - c**6/180 + c**5/90 + 31*c**3 - 12*c**2 - 7*c. Let f(u) be the first derivative of m(u). Factor f(z).
2*z*(z - 1)**2*(z + 2)/3
Determine y so that 35*y + 5/4*y**2 + 375/4 = 0.
-25, -3
Suppose -2 = x + 3*c + 11, -c - 13 = -4*x. Factor -618*n + 12288 + 2922*n - 447*n**2 + 591*n**x + 3*n**3.
3*(n + 16)**3
Factor 322/3*s**2 + 319/3*s - 1.
(s + 1)*(322*s - 3)/3
Let u be (840/(-21))/40 - (0 + (-46)/42). Factor -2/21*q**2 + 0 - u*q.
-2*q*(q + 1)/21
Let q(m) = 371*m - 377. Let b(a) = -a**2 + 4*a + 3. Let u(j) = -2*b(j) - 2*q(j). Factor u(h).
2*(h - 374)*(h - 1)
Let p = -1877 - -1901. Let v(g) be the th