(n - 28)*(n + 1)/2
Solve 2*k - 8*k**3 + 4/3 - 46/3*k**2 = 0.
-2, -1/4, 1/3
Suppose 0 = -i - 2*t + 1, 0 = -5*t - 14 + 4. Determine w so that 0*w - 5*w + i*w**2 - 53 + 43 = 0.
-1, 2
Let d = -20 - -24. Let g be d/(-18)*3/(-2). Factor 0 - 2/3*l**2 - g*l**3 + 0*l.
-l**2*(l + 2)/3
Let k(g) = g - 9. Let f be k(12). Solve -5*o**2 + 4*o + 20*o**2 + 9*o**f + 2*o = 0.
-1, -2/3, 0
Let i(p) = 27*p**4 + 179*p**3 + 408*p**2 + 429*p + 157. Let a(t) = -28*t**4 - 184*t**3 - 408*t**2 - 428*t - 156. Let l(y) = -3*a(y) - 4*i(y). Factor l(w).
-4*(w + 2)**3*(6*w + 5)
Let x(q) = 7*q**4 - 80*q**3 + 478*q**2 - 1282*q + 1282. Let t(h) = h**4 - h**2 - h + 1. Let b(u) = -2*t(u) + x(u). Factor b(r).
5*(r - 4)**4
Let f(l) be the third derivative of 1/90*l**6 + 0*l - 2/15*l**5 + 2/3*l**4 + 2/3*l**3 - 5*l**2 + 0. Let w(c) be the first derivative of f(c). Solve w(g) = 0.
2
Let q = 660 + -656. Factor 0*y**2 - 1/5*y - 1/10 + 1/5*y**3 + 1/10*y**q.
(y - 1)*(y + 1)**3/10
Let t(o) be the first derivative of o**5/5 + o**4/2 - o**3 - 42. Factor t(g).
g**2*(g - 1)*(g + 3)
Let d = 19 - 10. Let m(o) = -o**3 + 10*o**2 - 9*o + 1. Let i be m(d). Factor -4*h - 4*h - 9 - 2*h**2 + i.
-2*(h + 2)**2
Let x = 397/300 - -1/100. Let m = 12/61 + 86/183. Suppose -4/3*s**2 + 2/3*s**4 + 2/3 + m*s - x*s**3 + 2/3*s**5 = 0. Calculate s.
-1, 1
Let q(h) be the third derivative of -7*h**5/150 + 11*h**4/120 + h**3/10 + 105*h**2. Factor q(b).
-(b - 1)*(14*b + 3)/5
Let f(l) be the first derivative of -2*l**5/25 - 9*l**4/2 - 58*l**3/5 - 43*l**2/5 + 264. Determine p so that f(p) = 0.
-43, -1, 0
Let f(u) be the second derivative of -7/10*u**5 + 49/60*u**6 - 15/8*u**4 - u**2 + 7/3*u**3 + 9*u + 0. Suppose f(v) = 0. Calculate v.
-1, 2/7, 1
Let z = 13966/3 + -4655. Factor 1/3*g**2 - z + 0*g.
(g - 1)*(g + 1)/3
Let n(a) = 56*a - 3524. Let v be n(63). Find o, given that 0*o**2 - 1/3*o**v + 0*o - 2/3*o**3 + 0 = 0.
-2, 0
Let l(k) be the first derivative of -k**5/80 - k**4/6 - 2*k**3/3 - 15*k - 8. Let d(f) be the first derivative of l(f). Determine i so that d(i) = 0.
-4, 0
Suppose 3*i - l + 5*l + 12 = 0, 5*l + 9 = -3*i. Let q be 14/(-8)*(80/105)/i. Find p, given that -q*p - 1/3 + 1/6*p**3 + 1/2*p**2 - 1/6*p**4 = 0.
-1, 1, 2
Let g(q) be the third derivative of 5*q**2 + 0 + 1/240*q**6 + 0*q**4 + 0*q - 1/80*q**5 - 3/2*q**3. Let j(k) be the first derivative of g(k). Factor j(p).
3*p*(p - 1)/2
Solve 17/4*u**3 - 1/2 - 17/2*u**2 - 17/4*u + 9*u**4 = 0 for u.
-1, -1/4, -2/9, 1
Let y(x) be the first derivative of -25/6*x**2 - 7 - 10*x - 5/9*x**3. Factor y(q).
-5*(q + 2)*(q + 3)/3
Let o(l) be the first derivative of -l**5/12 - 5*l**4/24 + 5*l**3/3 - 7*l**2/2 - 14. Let v(b) be the second derivative of o(b). Factor v(w).
-5*(w - 1)*(w + 2)
Let f(n) be the first derivative of n**3/3 + 6*n**2 - 5*n - 42. Let r(x) = 2*x - 1. Let z(u) = 3*f(u) - 15*r(u). Factor z(c).
3*c*(c + 2)
Let i be 1 - 3/((-3)/3). Determine x so that -130*x**3 + 32 - 144*x - 58*x**3 + 328*x**2 - 64*x - 8*x**i + 44*x**4 = 0.
2/9, 1, 2
Suppose -2*c - 2*r + 4 = 0, -4*c + 3*c - 18 = 5*r. Let w be c/((-28)/8)*-1. Factor -2*t**w + 6 - 2 + 4*t - 6.
-2*(t - 1)**2
Let c(y) be the third derivative of -y**7/1050 + 29*y**6/600 - 26*y**5/75 + 5*y**4/6 - 590*y**2. Factor c(q).
-q*(q - 25)*(q - 2)**2/5
Factor 0 - 8/11*b**2 - 6/11*b**3 - 2/11*b.
-2*b*(b + 1)*(3*b + 1)/11
Let r(t) be the first derivative of -t**6/6 - 9*t**5/5 - 5*t**4 - 4*t**3 - 437. Solve r(y) = 0.
-6, -2, -1, 0
Factor -32/3*u - 1/3*u**3 - 11*u**2 + 0.
-u*(u + 1)*(u + 32)/3
Let x be (-4)/22 + 598/143. Let v(j) be the second derivative of -j**3 + 0 + j + 2*j**2 - 1/3*j**x. Factor v(w).
-2*(w + 2)*(2*w - 1)
Suppose 0 = -3*q + q + 6. Suppose -8*p = -3*p + l - 6, -q*l = -3*p + 18. Factor 0*t**3 - t**5 - 4*t**4 + p*t**3 + 3*t**5.
2*t**3*(t - 1)**2
Suppose 3 - 77 = -2*u. Let v = u + -183/5. Factor -v*w**4 + 0*w**2 - 2/5*w**3 + 0*w + 0.
-2*w**3*(w + 1)/5
Let a(u) = u**2 + 10*u + 26. Let m be a(-4). Let j be (-2)/(-7) + (1 - m)/28. Factor 1/4 + 1/4*f - 1/4*f**3 - j*f**2.
-(f - 1)*(f + 1)**2/4
Let y be -1 - (2/2 - 33). Let d = y + -31. Determine c so that -3/5*c**2 + d + 6/5*c = 0.
0, 2
Solve -1/5*l**2 - 4/5*l**3 + 0 + 4/5*l + 1/5*l**4 = 0.
-1, 0, 1, 4
Suppose 0 + 0*i - 2/9*i**3 - 56/9*i**2 = 0. Calculate i.
-28, 0
Let t(a) be the third derivative of -a**7/2100 - a**6/300 + a**4/15 - 5*a**3/6 + 3*a**2. Let g(h) be the first derivative of t(h). Factor g(l).
-2*(l - 1)*(l + 2)**2/5
Factor 8*b**2 - 20*b + 241 - 249 + 4*b**2.
4*(b - 2)*(3*b + 1)
Let o(c) = 50*c + 354. Let z be o(-7). Suppose -7/3*f**3 + 0 + 2/3*f**z - 2/3*f**2 + 0*f + 7/3*f**5 = 0. What is f?
-1, -2/7, 0, 1
Let o = -1137498/17 - -1996303958/29835. Let q = -2/135 - o. What is l in 4/13*l**2 - q + 2/13*l = 0?
-1, 1/2
Let z be (-74)/(-14) + -1*12/42. Determine q so that -7*q**3 + q**3 + 2*q - 2*q**2 - 14*q**z + 25*q**4 - 5*q**2 = 0.
-1/2, 0, 2/7, 1
Determine a so that 2/5*a**4 + 0*a**3 - 14/5*a**2 + 0 - 12/5*a = 0.
-2, -1, 0, 3
Let q(f) = -40*f**2 + 10*f + 12. Let o(w) = 1. Let m(d) = -3*o(d) - q(d). Let m(i) = 0. Calculate i.
-1/2, 3/4
Let h = -290 - -292. Let d(s) be the second derivative of 0 + 0*s**5 - 2*s - 3/4*s**4 - s**3 + 0*s**h + 1/10*s**6. Let d(f) = 0. Calculate f.
-1, 0, 2
Factor -81/7*j**3 - 3/7*j**5 + 0 + 27/7*j**4 + 0*j + 81/7*j**2.
-3*j**2*(j - 3)**3/7
Suppose 5*m + 24 = 5*w + 194, 0 = -5*m + 3*w + 172. Suppose -m = -4*g - g + 3*c, 3*c = -15. Factor -1/5*z**5 - 3/5*z**g - 1/5*z**2 - 3/5*z**3 + 0 + 0*z.
-z**2*(z + 1)**3/5
Solve 73/2*p**3 + 28398241/8 + 1/8*p**4 + 15987/4*p**2 + 389017/2*p = 0.
-73
Let h = 1094/7 - 1090/7. Find r, given that -2/7*r**2 - h*r - 2/7 = 0.
-1
Let z be ((-854)/168)/(1*1/15). Let a = 77 + z. Suppose -a*p + 3/2*p**2 - 3/2 + 3/4*p**3 = 0. What is p?
-2, -1, 1
Let r(j) be the third derivative of j**5/270 + j**4/54 - 16*j**3/9 + 951*j**2. Factor r(i).
2*(i - 6)*(i + 8)/9
Let k(a) be the second derivative of -39*a + 4/21*a**3 + 1/84*a**4 + 0 + 1/2*a**2. Factor k(z).
(z + 1)*(z + 7)/7
Let u(a) be the first derivative of a**6/15 - 14*a**5/25 + 3*a**4/2 - 2*a**3/3 - 16*a**2/5 + 24*a/5 + 569. Let u(x) = 0. What is x?
-1, 1, 2, 3
Suppose 2*f - 36 = -f. Suppose 3*m + f = 0, -5*m = 5*y - 3 + 8. Determine q, given that -3 + 7*q - 9*q**2 - 7*q + 8*q + q + 3*q**y = 0.
1
Factor -727*n**3 + 732*n**3 - 5*n + 40*n**2 - 62 + 22.
5*(n - 1)*(n + 1)*(n + 8)
Let 405/2*h - 5/4*h**2 - 32805/4 = 0. Calculate h.
81
Let z(l) = 8*l**2 - 4. Let o(m) = -15*m**2 + 7. Let a(c) = -3*o(c) - 5*z(c). Let h be a(-1). Factor 0*v**4 + 2*v**4 + v**5 + 3*v**3 - 5*v**h - v**2.
v**2*(v - 1)**3
Let k(n) be the third derivative of -n**5/120 - 19*n**4/24 - 361*n**3/12 - 3*n**2 - 147. Factor k(b).
-(b + 19)**2/2
Suppose 8 = -4*b + 16. Let q be 4/b + (8 - 10). Factor 2*t**2 + q*t**2 + 6*t**3 - 3*t**3 - t**3.
2*t**2*(t + 1)
Let f(s) = -3*s**3 - 13*s**2 + 13*s - 19. Let u(v) = -2*v**3 - 6*v**2 + 6*v - 10. Let w(k) = 6*f(k) - 11*u(k). Factor w(a).
4*(a - 1)**3
Let w(x) be the first derivative of -2*x**3/27 + 5*x**2/9 - 8*x/9 + 7. Factor w(u).
-2*(u - 4)*(u - 1)/9
Let u(q) be the third derivative of q**6/72 + 5*q**5/12 + 125*q**4/24 - 11*q**3/6 + 6*q**2. Let d(r) be the first derivative of u(r). Let d(v) = 0. Calculate v.
-5
Suppose -2*o - 5*g + 28 = 0, 5*o - 115 = 3*g - 107. Determine h so that 0*h**o + 6/7*h**2 + 0*h - 9/7*h**3 + 0 + 3/7*h**5 = 0.
-2, 0, 1
Let i(k) be the second derivative of k**10/226800 + k**9/113400 + 5*k**4/12 + 11*k. Let o(y) be the third derivative of i(y). Factor o(x).
2*x**4*(x + 1)/15
Let v(n) be the second derivative of n**6/40 + n**5/40 - 3*n**4/16 - n**3/2 - n**2/2 - 73*n - 1. Find y, given that v(y) = 0.
-1, -2/3, 2
Let c be ((-1)/(-3))/(((-5)/970)/(-1)). Let p = -64 + c. Factor 0*b - p*b**5 + 2*b**4 + 2/3*b**2 + 0 - 2*b**3.
-2*b**2*(b - 1)**3/3
Factor -3*d**3 + 0*d - 13/4*d**2 + 0 + 1/4*d**4.
d**2*(d - 13)*(d + 1)/4
Find p such that 1/2*p**2 + 11 - 23/2*p = 0.
1, 22
Let z(f) be the third derivative of f**9/2016 + f**8/560 + f**7/560 - 2*f**3/3 - 5*f**2. Let p(l) be the first derivative of z(l). Factor p(j).
3*j**3*(j + 1)**2/2
Let l(u) = u**3 - u**2 + 4. Let o be l(0). Determine q so that -24*q**3 + 26*q**o + 92*q**2 + 4 - 62*q**4 - 20 - 16*q = 0.
-2, -1/3, 2/3, 1
Let n(i) be the third derivative of i**8/2016 + i**7/210 + i**6/80 + i**5/90 -