3 = 0.
-1/4, 0, 2
Let x(i) = i**2 + 11*i + 5. Let n be x(-11). Suppose -o + 1 = 0, 5*o - 2 = n*t + 3. Suppose 4/5*q**2 + t - 6/5*q**3 + 0*q + 2/5*q**4 = 0. What is q?
0, 1, 2
Let i(y) be the third derivative of 0*y + 0*y**4 + 0 + 0*y**3 - 10*y**2 - 1/225*y**5 - 1/100*y**6 - 1/225*y**7. Factor i(t).
-2*t**2*(t + 1)*(7*t + 2)/15
Let b(c) = 2*c**2 + 54*c + 2. Let y be b(-27). Suppose 48*q - 15 - 3*q**4 - 43*q**3 - 54*q**y + 43*q**3 + 24*q**3 = 0. What is q?
1, 5
Let a(g) be the second derivative of g**4/6 + 13*g**3/3 + 12*g**2 - 13*g - 9. Factor a(f).
2*(f + 1)*(f + 12)
Suppose 0*l**4 + 0*l + 0 + 1/6*l**5 - 1/3*l**2 - 1/2*l**3 = 0. Calculate l.
-1, 0, 2
Factor -753/2*f**2 + 3/2*f**3 + 47625/2*f - 46875/2.
3*(f - 125)**2*(f - 1)/2
Let t be 6/((-164)/(-136) - 1). Let m = t - 563/21. Suppose m*i**3 - 17/3*i**2 - 4/3 + 7*i**4 + 3*i**5 - 16/3*i = 0. What is i?
-1, -2/3, 1
Let z(t) = -11*t**5 + 24*t**4 + 109*t**3 + 141*t**2 + 39*t. Let f(g) = 5*g**5 - 12*g**4 - 54*g**3 - 70*g**2 - 18*g. Let m(d) = 13*f(d) + 6*z(d). Factor m(n).
-n**2*(n + 4)**3
Let y(p) = 4*p**2 - 2*p + 2. Let c be y(1). Let w be 21/(-14) + 14/c. What is d in -9 + 9*d + 0*d**2 + 4*d**w - 3*d - d**2 = 0?
-3, 1
Let q = 8080/11 + -56516/77. Factor 0 - 2/7*j**2 - q*j + 2/7*j**3.
2*j*(j - 2)*(j + 1)/7
What is t in -611 - t**2 + 1196 + 6*t - 617 - t**2 - 22*t = 0?
-4
Factor -203*a**3 + 204*a**3 + 25845*a - 1569*a - 2000376 + 23352*a - 378*a**2.
(a - 126)**3
Let m(r) be the first derivative of r**6/210 - 3*r**2 + 7. Let k(y) be the second derivative of m(y). Determine x, given that k(x) = 0.
0
Let k be 3*-1*10/(-6). Let j(v) = v**2 + v. Let d(z) be the third derivative of -z**5/20 - 7*z**4/24 + 45*z**2 - 4*z. Let p(x) = k*j(x) + d(x). Factor p(y).
2*y*(y - 1)
Let a(u) be the third derivative of u**5/60 - 5*u**4/12 + 8*u**3/3 - 14*u**2 + u. Find p, given that a(p) = 0.
2, 8
Let n(f) = -4*f + 10. Let o be n(2). Let m be 1 + -1 - (-4)/2. Factor t**m + o - 2*t**2 + 4 - 3*t - 2*t**2.
-3*(t - 1)*(t + 2)
Suppose 0 = -3*b - 5*s - 5, 0*b + 3*s = -5*b + 13. Suppose c = 5*g - c - 24, -3*g = b*c - 33. Solve 2 + i**2 + g*i - 11 - 2*i**2 = 0 for i.
3
Let a(i) = -5*i - 118. Let s be a(-27). Let m = -14 + s. Factor 0*x**2 + 0*x + 0 - 2/5*x**m + 2/5*x**4.
2*x**3*(x - 1)/5
Let z(f) be the second derivative of -f**6/10 + 9*f**5/20 - f**4/4 - 3*f**3/2 + 3*f**2 + f - 63. Let z(l) = 0. What is l?
-1, 1, 2
Let r(h) be the first derivative of 5*h**6/27 + 2*h**5/15 - 17*h**4/18 + 2*h**3/27 + 4*h**2/3 - 8*h/9 + 51. Find x, given that r(x) = 0.
-2, -1, 2/5, 1
Solve 3*x**2 + 3/7 + 19/7*x + 5/7*x**3 = 0.
-3, -1, -1/5
Let n(s) be the third derivative of -1/270*s**5 + 1/108*s**4 + 1/945*s**7 + 12*s**2 + 0*s**3 + 0 + 0*s - 1/540*s**6. Determine j, given that n(j) = 0.
-1, 0, 1
Suppose -i + 46 = 9. Let l = i + -34. Let 2/9*x**l + 4/9*x + 0 - 2/3*x**2 = 0. Calculate x.
0, 1, 2
Suppose -8*o + 0*o = -4576. Let a be o/330 - 2/(-3). Solve -a - 3/5*g**2 - 12/5*g = 0 for g.
-2
Suppose -5*c = -5*q - 35, -3*c + 16 = -2*q - 0*q. Determine j, given that -5*j**2 + 25*j + j**2 - j**c = 0.
0, 5
Let x be (((-468)/(-8))/(-39))/(-1). Let -125 - 255/2*b**2 + 47/2*b**3 - x*b**4 + 525/2*b = 0. Calculate b.
2/3, 5
Let p(f) = -f + 16. Let s be p(9). Factor 0*h**5 - h**5 + s*h**4 - h**4 - 3*h**3 - 2*h**5.
-3*h**3*(h - 1)**2
Let z = -2223/7 - -6770/21. Let t = z + -14/3. Determine h, given that 0*h - t*h**3 + 0*h**2 + 0 - 1/7*h**5 - 2/7*h**4 = 0.
-1, 0
Suppose 2/3*v - 4/3*v**2 + 0 + 5/6*v**3 - 1/6*v**4 = 0. What is v?
0, 1, 2
Let i(j) be the third derivative of 0 + 1/60*j**5 + 10*j**2 + 0*j + 0*j**4 - 1/6*j**3. Suppose i(d) = 0. Calculate d.
-1, 1
Let w(p) = -10*p**2 + 46*p + 344. Let q(h) = -2*h**2 + 9*h + 68. Let t(n) = 16*q(n) - 3*w(n). Suppose t(m) = 0. What is m?
-4, 7
Let t(i) be the third derivative of i**7/84 + 5*i**6/24 - i**5/24 - 25*i**4/24 - 156*i**2 - 3*i. Let t(r) = 0. Calculate r.
-10, -1, 0, 1
Let u(j) be the first derivative of -j**6/2 + 42*j**5/5 - 129*j**4/4 + 26*j**3 + 66*j**2 - 120*j - 25. Suppose u(x) = 0. What is x?
-1, 1, 2, 10
Let q(b) be the first derivative of -b**4/72 + b**3/6 - 3*b**2/4 + 15*b + 5. Let a(z) be the first derivative of q(z). Factor a(c).
-(c - 3)**2/6
Let w be 3/(-2) + (3 - 67/45). Let h(j) be the second derivative of -w*j**6 + 0*j**2 + 0*j**5 + 0 - 7*j + 1/12*j**4 + 1/9*j**3. What is d in h(d) = 0?
-1, 0, 2
Let p(q) = -5*q**3 - 25*q**2 + 11*q**3 + 20*q - 7 + 4*q**3. Let n(d) = 3*d**3 - 8*d**2 + 7*d - 2. Let w(b) = 7*n(b) - 2*p(b). Factor w(r).
r*(r - 3)**2
Let l(j) be the third derivative of 1/30*j**6 + 0 + 2/15*j**5 + 0*j**3 + 1/6*j**4 + 0*j + 12*j**2. Determine m, given that l(m) = 0.
-1, 0
Let f(x) = -x**2 - 29*x + 1050. Let z be f(21). Determine d, given that z*d + 3/4*d**2 + 0 + 3/4*d**3 = 0.
-1, 0
Let j be (18*(-17)/(-918))/((-2)/(-4)). Factor -j - 8/9*q**3 + 8/9*q + 2/9*q**4 + 4/9*q**2.
2*(q - 3)*(q - 1)**2*(q + 1)/9
Let t(o) be the first derivative of 9*o**5/10 - 10*o**4 + 39*o**3 - 54*o**2 - 27*o/2 - 97. Factor t(s).
(s - 3)**3*(9*s + 1)/2
Let v(q) = 2*q**2 + 27*q + 25. Let z(h) = h + 1. Let n(w) = -v(w) - 3*z(w). Factor n(d).
-2*(d + 1)*(d + 14)
Suppose -3*q = 4*d - 34, -86*d - 16 = -q - 88*d. Factor 0 + 2/3*r - 8*r**q - 40*r**4 + 50/3*r**5 + 92/3*r**3.
2*r*(r - 1)**2*(5*r - 1)**2/3
Let j(m) = -m - 1. Let l(n) = 2*n**3 + 192*n**2 + 4812*n + 8854. Let v(w) = -36*j(w) - 2*l(w). Factor v(q).
-4*(q + 2)*(q + 47)**2
Let m be 2/(-5) - 321/(-15). Suppose 3*c - 2*k = 12, -3*c + m = -6*k + k. Let -f - 11*f**2 + 7*f**2 + f**5 - 2*f**5 + c + 2*f**4 + 2*f**3 = 0. Calculate f.
-1, 1, 2
Let y(t) = t**4 - t - 1. Let u(v) = -11*v**4 - 32*v**3 - 8*v**2 - 3*v - 3. Let z(j) = -2*u(j) + 6*y(j). Let z(g) = 0. Calculate g.
-2, -2/7, 0
Let x(k) be the third derivative of k**5/20 - 5*k**4 + 200*k**3 - 111*k**2. Factor x(z).
3*(z - 20)**2
Let d(p) = 25*p**3 + 180*p**2 + 980*p - 20. Let r(a) = a**3 + 2*a**2 - 1. Let y(q) = d(q) - 20*r(q). Let y(h) = 0. Calculate h.
-14, 0
Let j(u) be the second derivative of -u**4/84 + 2*u**3/21 - 3*u**2/14 + 4*u + 18. Factor j(q).
-(q - 3)*(q - 1)/7
Let o(t) be the third derivative of 2*t**7/35 + 2*t**6/5 + t**5/9 - 11*t**4/9 + 26*t**2 + 2. Find j, given that o(j) = 0.
-11/3, -1, 0, 2/3
Let b(i) be the first derivative of -3/5*i**5 + 2*i**3 - 3*i + 0*i**2 + 0*i**4 - 16. Factor b(o).
-3*(o - 1)**2*(o + 1)**2
Let x(o) be the third derivative of -o**8/35280 + o**7/1764 - o**6/210 - 3*o**5/5 + 24*o**2. Let g(h) be the third derivative of x(h). Factor g(i).
-4*(i - 3)*(i - 2)/7
Let z(q) = -q + 3. Let y be z(-3). Let c(f) be the second derivative of 0*f**4 + 0 + 1/15*f**y + 0*f**2 - 3*f + 0*f**3 + 1/5*f**5. Let c(t) = 0. What is t?
-2, 0
Let u(n) = -13*n + 13. Let f be u(2). Let x(w) = w**3 + 14*w**2 + 12*w - 11. Let q be x(f). Determine y, given that -q - 1/2*y**2 + 2*y = 0.
2
Let g(z) = -4 - 14*z - 6 + 13 - 15*z**2 + z**3 - 2*z**3. Let i be g(-14). Factor 2*y**3 + 5*y**2 - 2*y**2 - 4*y**2 - 3*y**i.
-y**2*(y + 1)
Find w, given that 0*w - 4/3*w**4 - 2*w**3 + 0 - 2/9*w**5 + 0*w**2 = 0.
-3, 0
Suppose -506*w + 1141 + 504 = -379. Suppose 4/5*p**2 + 2/5*p**w + 0*p + 0 - 6/5*p**3 = 0. Calculate p.
0, 1, 2
Suppose -4*i = -9*i - 4*m + 10, -3*i + 33 = -3*m. Suppose -i*w = -5*w - 4. Find k, given that 11/4*k**2 + 3/4*k**5 + 0*k - 1 - 3/4*k**3 - 7/4*k**w = 0.
-1, -2/3, 1, 2
Let a(b) = 2*b - 6. Let l be a(4). Suppose -4*i = 2*i + 2*i. Factor -11*w + 0*w - w + i*w - 3*w**l - 12.
-3*(w + 2)**2
Let 3/7*k**3 + 3/7*k**4 - 36/7*k**2 - 12*k - 48/7 = 0. What is k?
-2, -1, 4
Let v be 0 - (-604)/80*-1. Let w = 31/4 + v. Factor -1/5 + 0*x + w*x**2.
(x - 1)*(x + 1)/5
Factor -129*y**5 - 30*y**3 + 9*y**4 - 127*y**5 - 4*y**4 + 261*y**5.
5*y**3*(y - 2)*(y + 3)
Let p(v) be the second derivative of -8*v**6/15 + v**5/5 + 4*v**4/3 - 2*v**3/3 - 27*v. Solve p(r) = 0 for r.
-1, 0, 1/4, 1
Let m = -48 - -53. Determine p so that -p**m - 16*p**4 + 28*p**4 - 16*p**3 + 5*p**5 = 0.
-4, 0, 1
Let g(j) be the second derivative of -j**7/56 + 17*j**6/60 - 13*j**5/16 + 3*j**4/8 + 131*j. Solve g(s) = 0.
0, 1/3, 2, 9
Suppose 3*w - 10 = -2*w. Let r be w + 0/(-4) - 0. Factor -4*c**3 - 2*c**2 + 2*c**r - 4*c + c**2 + 7*c**2.
-4*c*(c - 1)**2
Let l = -922 - -925. Let p be -18*(-1)/4 + -4. Determine s so that -1/2*s**2 - p*s**l + 1/2 + 1/2*s 