 What is n?
-4, -2, -1, 1
Factor -136 - 905 + 23*s**2 - 25*s**2 - 326*s - 231.
-2*(s + 4)*(s + 159)
Let c = -8770 + 8770. Let z(f) be the first derivative of -12 - 8/23*f + 1/46*f**4 + c*f**2 + 2/23*f**3. Factor z(k).
2*(k - 1)*(k + 2)**2/23
Let h = 5/8912 + 4441/26736. What is i in 0*i - 1/6*i**2 + h = 0?
-1, 1
Let r(s) be the second derivative of 1/2*s**4 + 1/14*s**7 + 47*s - 1/5*s**6 + 0 + 0*s**2 + 0*s**3 - 3/20*s**5. Determine w so that r(w) = 0.
-1, 0, 1, 2
Factor 117/4*u**3 + 9*u + 0 + 7/4*u**4 - 40*u**2.
u*(u - 1)*(u + 18)*(7*u - 2)/4
Let 15*a + 0 - 8*a**2 - 22/3*a**3 + 1/3*a**5 + 0*a**4 = 0. Calculate a.
-3, 0, 1, 5
Let x(h) be the third derivative of 1/210*h**7 + 1/24*h**6 + 0 + 45*h**2 + 0*h**3 + 7/60*h**5 + 3*h + 1/8*h**4. Suppose x(m) = 0. What is m?
-3, -1, 0
Let r(p) be the first derivative of -119 + 5/3*p**3 - 85*p**2 + 1445*p. Factor r(k).
5*(k - 17)**2
Factor 6/11*v + 0 - 412/11*v**2.
-2*v*(206*v - 3)/11
Let y = 74 + -67. Find f such that 125*f**3 - 400*f - 14*f**5 - 50*f**4 + 5*f**5 + y*f**5 + 100*f**2 + 7*f**5 - 320 = 0.
-1, 4
Factor 0 - 26*y + 1/2*y**3 + 12*y**2.
y*(y - 2)*(y + 26)/2
Let a(y) = 7*y**4 + 22*y**3 - 45*y**2 + 40*y + 4. Let p(x) = -69*x**4 - 219*x**3 + 450*x**2 - 396*x - 39. Let m(s) = -39*a(s) - 4*p(s). Solve m(t) = 0.
-8, 0, 1
Let o be (-1)/(-2)*(-8008)/(-429). Let 2/3*s**2 + o + 6*s = 0. Calculate s.
-7, -2
Suppose 0 = q + 3*k - 2*k - 4, -5*k + 40 = 30. Determine n, given that -10/7*n**4 - 24/7*n**q - 4/7*n - 4*n**3 + 2/7 = 0.
-1, 1/5
Find g, given that -969*g**2 + 19494*g + 8443442 - 8443442 + 3*g**4 - 60*g**3 = 0.
-18, 0, 19
Let y(x) be the third derivative of x**5/4 - 1165*x**4/12 + 775*x**3/6 - 560*x**2 + 1. Solve y(g) = 0.
1/3, 155
Let j(b) be the third derivative of b**7/42 + b**6/4 + 2*b**5/3 + 9*b**2. Solve j(c) = 0 for c.
-4, -2, 0
Solve 0 - c**2 + 1/4*c**4 + 0*c + 0*c**3 = 0.
-2, 0, 2
Let w(t) = -t**2 - t + 2. Let v be w(-1). Find c such that -c - 5*c**v - 5*c**2 + 14*c**2 - c**2 = 0.
0, 1/3
Let d be (-18 - 2538/(-144))*((-34)/(-3))/(-1) + -4. Solve 0*f**4 - d*f**5 - 1/4*f + 0*f**2 + 1/2*f**3 + 0 = 0 for f.
-1, 0, 1
Let p = -107977 + 108034. Solve -p*m**2 - 2166*m - 1/2*m**3 - 27436 = 0.
-38
Suppose 19*z - 1406 = 15*z + l, -3*l + 1398 = 4*z. Let p be z/(-390)*8/(-3). Factor -9*k**5 - 48/5*k**4 + 0*k + 0 + 0*k**2 - p*k**3.
-3*k**3*(3*k + 2)*(5*k + 2)/5
Let v(y) be the second derivative of -1/135*y**6 - 1/30*y**5 + 0*y**2 - 2*y + 8/27*y**4 + 32 - 4/9*y**3. Factor v(p).
-2*p*(p - 2)*(p - 1)*(p + 6)/9
Let s(g) be the third derivative of -3*g**8/112 - 13*g**7/70 + 7*g**6/8 + 5*g**5/4 - 4*g**4 - 6*g**3 - 1883*g**2. Find v, given that s(v) = 0.
-6, -1, -1/3, 1, 2
Factor 2/3*k**2 - 2/3*k**4 + 0 - 8/3*k**3 + 8/3*k.
-2*k*(k - 1)*(k + 1)*(k + 4)/3
Let l(r) = 3*r**3 - 53*r**2 + 132*r + 188. Let b(m) = 2*m**2 - 2. Let w(x) = 2*b(x) - l(x). Factor w(h).
-3*(h - 16)*(h - 4)*(h + 1)
Let u = 59783 - 119565/2. Factor 1/4*i + 0 - 1/4*i**2 - u*i**3.
-i*(i + 1)*(2*i - 1)/4
Let z(b) = -5*b + 2. Let m be z(1). Let f be ((-8)/3)/(-1)*(m + 6). Factor 5*c**5 + 11*c**3 + 2*c**5 + 8*c**4 + f*c**4 + 2*c**2.
c**2*(c + 1)**2*(7*c + 2)
Factor 150*t**2 + 187/2*t**3 - 38*t + 0 + 9/2*t**4.
t*(t + 2)*(t + 19)*(9*t - 2)/2
Let k(u) = -u**2 - 9*u + 2. Let v be (-2)/(-3)*336/(-32). Let l be k(v). Factor -5*g**5 + 2*g**2 - 15*g**3 - 7*g**2 - l*g**4 + g**4.
-5*g**2*(g + 1)**3
Suppose -32*j + 22*j = -6180. Let s = -4941/8 + j. Determine f so that s*f - 1/4 - 1/8*f**2 = 0.
1, 2
Let j(s) be the second derivative of s**4/6 + 41*s**3/3 + 78*s**2 - 4*s + 1. Factor j(y).
2*(y + 2)*(y + 39)
Let l be ((-364)/(-70) + -1)/((-1)/155). Let g be (-56)/8 - l/91. Factor -2/13*w**4 + 2/13*w**2 + 0 - 2/13*w + g*w**3.
-2*w*(w - 1)**2*(w + 1)/13
Factor -632/5*x**3 + 2/5*x**4 + 0 + 0*x + 49928/5*x**2.
2*x**2*(x - 158)**2/5
Let v(a) = -3*a**4 - 24*a**3 + 67*a**2 + 1366*a + 1282. Let u(k) = -8*k**4 - 47*k**3 + 133*k**2 + 2727*k + 2565. Let w(x) = 2*u(x) - 5*v(x). Factor w(p).
-(p - 16)**2*(p + 1)*(p + 5)
Factor -p**3 + 135 + 180 - p**3 - 122*p + 9 + 40*p**2 - 112*p.
-2*(p - 9)**2*(p - 2)
Let l(s) = 6*s**4 - 157*s**3 + 415*s**2 - 236*s - 7. Let q(k) = -2*k**4 + 52*k**3 - 138*k**2 + 80*k + 2. Let x(w) = 2*l(w) + 7*q(w). Factor x(p).
-2*p*(p - 22)*(p - 2)*(p - 1)
What is n in 1/3*n**2 + 9616201/3 - 6202/3*n = 0?
3101
Let b be 4/16 + (-78)/(-8). Suppose 2*i - b = -3*i. Factor i*q + q - 22*q**2 + 55*q**2 + 21*q**3 - 9.
3*(q + 1)**2*(7*q - 3)
Let h(g) be the first derivative of -g**6/120 + 3*g**5/20 + 7*g**4/8 + 11*g**3/6 - g**2 - 56*g - 49. Let x(c) be the second derivative of h(c). Factor x(y).
-(y - 11)*(y + 1)**2
Let f(y) be the third derivative of -y**7/840 - y**6/24 - 3*y**5/5 - 14*y**4/3 + 53*y**3/6 - 45*y**2 - 2. Let o(g) be the first derivative of f(g). Factor o(s).
-(s + 4)**2*(s + 7)
Let -3*q**3 - 1/2*q**5 - 2*q**2 - 2*q**4 - 1/2*q + 0 = 0. Calculate q.
-1, 0
Let u = 757018 - 757016. Factor -16/7*r + 2/7*r**u + 2.
2*(r - 7)*(r - 1)/7
Let x(o) = -17*o**3 - 12*o**2 + 35*o + 81. Let p(q) = -6*q**3 - 4*q**2 + 12*q + 28. Let t(c) = -11*p(c) + 4*x(c). Factor t(b).
-2*(b - 2)*(b + 2)**2
Let r(v) = -11*v - 6. Let x = -1427 - -1424. Let o be r(x). Determine l, given that 21/2*l - o*l**2 + 15/2*l**3 + 9 = 0.
-2/5, 1, 3
Let z be ((-2 - -3)*4)/(-2393 + 2398). Solve 0*o + 0 - 36/5*o**2 - 24/5*o**3 - z*o**4 = 0.
-3, 0
Let u = 3178036/7 + -453180. Suppose -4/7*x**2 - u + 304/7*x = 0. What is x?
38
Let q = -56 - -69. Solve 50*y**4 - 6*y**5 + q*y**3 - 11*y**5 - 58*y**3 + 12*y**5 = 0 for y.
0, 1, 9
Let t(n) be the second derivative of -289*n**2 + 0 - 1/10*n**5 + 228*n - 35/6*n**4 - 323/3*n**3. Suppose t(v) = 0. Calculate v.
-17, -1
Let h be 12/(-84)*7 + -1 + -208. Let g be (-6 + h/(-36))*-4. Factor -5/6*m**2 - g*m**4 + 0 + 4/3*m**3 + 1/6*m.
-m*(m - 1)*(2*m - 1)**2/6
Factor -11628*d + 7*d**2 - 13*d**2 - 11*d**2 + 120 + 11689*d.
-(d - 5)*(17*d + 24)
Let v = -626503 + 626508. Find a such that 2/5*a**v + 432/5*a + 166/5*a**3 + 82*a**2 + 6*a**4 + 32 = 0.
-5, -4, -1
Suppose -125*f + 4 = -124*f. Let w(h) be the first derivative of 1/2*h**f + 0*h**2 - 8*h - 14 + 2*h**3. Factor w(l).
2*(l - 1)*(l + 2)**2
Let t(k) be the second derivative of k**5/10 - 187*k**4/2 + 26320*k**3 - 78400*k**2 - 520*k. Solve t(y) = 0.
1, 280
Suppose -24/5*k + 12/5*k**4 + 0 - 38/5*k**2 + 1/5*k**5 - 3/5*k**3 = 0. What is k?
-12, -1, 0, 2
Suppose -5*a - 2*v = 43, 0 = 9*v - 5*v - 4. Let n be (a/(-6))/((-336)/(-320)). Suppose -2/7*g**4 + 0 + n*g**3 + 8/7*g - 16/7*g**2 = 0. Calculate g.
0, 1, 2
Suppose -2*z - 3*u = 8, 2*u = -10*z + 6*z - 16. Let n be ((-9)/4 - z/16) + 4. Determine a, given that -4/3 - 7/3*a**3 - 20/3*a - 23/3*a**n = 0.
-2, -1, -2/7
Suppose 15/2*j**3 + 488*j + 32 + 241/2*j**2 = 0. Calculate j.
-8, -1/15
Let h = -20 - -22. Suppose 4*j = 3*d - 14, h*j + 2*j + 18 = 5*d. Factor -3*q + 3*q**3 - 18*q**d + 21*q - 3*q**2.
3*q*(q - 6)*(q - 1)
Let z be ((-49)/21*(-9 + 488/56))/(1/75). Find j such that -z*j + 0 - 5/4*j**2 = 0.
-40, 0
Determine n so that 7*n**4 + 447*n - 29 - 4652*n**3 + 4205*n**3 + 99*n**2 + 5*n**4 - 82 = 0.
-1, 1/4, 1, 37
Solve 214/9*o - 10/9*o**4 + 28/3 - 74/9*o**2 - 214/9*o**3 = 0.
-21, -1, -2/5, 1
Let q(x) = -x**3 - 4*x**2 + 18*x + 6. Let o(f) = -4*f**3 - 16*f**2 + 75*f + 27. Let p(k) = -2*o(k) + 9*q(k). Factor p(u).
-u*(u - 2)*(u + 6)
Let u(v) be the first derivative of -4*v - 2/11*v**3 - 5/11*v**2 - 18 - 1/66*v**4. Let h(d) be the first derivative of u(d). Factor h(l).
-2*(l + 1)*(l + 5)/11
Suppose 803 = 490*z - 177. Let q be (1 - 6/3)*0. Solve -1/3*a**3 + q*a + 0 - 2/3*a**z = 0 for a.
-2, 0
Suppose 15*f = -26*f - 47*f - 13*f. Find s, given that 1/2*s**4 - 3/2*s**2 + 0*s + f - s**3 = 0.
-1, 0, 3
Let m = -655 - -1233. Factor -8*t**2 - m*t - 8*t**2 - 239*t + 1109*t - 72.
-4*(t - 18)*(4*t - 1)
Let u(o) = -16*o**2 + 498*o + 1024. Let r(g) = 7*g**2 + 5*g. Let v(d) = -2*r(d) - u(d). Factor v(b).
2*(b - 256)*(b + 2)
Let r(f) = f**3 - f**2 + f. Let o(p) = -p**4 + 17*p**3 - 4*p**2 + 11*p. Let x(k) = -5*o(k) + 55*r(k). Solve x(m) = 0 for m.
-1, 0, 7
Let v be (3587 - (0 + -6)) + -3. Factor v*a**2 - 3634*a**2 - 24*a + 8*a**4 + 12*a**4 + 48*a**3.
4*a*(a - 1)*(a + 3)*(5*a + 2)
Let f(j) be the second derivative of j**5/90 - j**4/3 - 21*j**3 + 1176*j**2 - 112*j. Factor f(w).
2*(w - 21)**2*(w + 24