e (38/(-24) - (-8)/(-12))*(-347328)/5896. Suppose -6/11*u**3 + 162/11*u**2 + 4374/11 - j*u = 0. What is u?
9
Let t be (20/(-25))/((-2)/15). Suppose -t = -107*s + 104*s. Factor 6/7*k + 2/7*k**3 + 6/7*k**s + 2/7.
2*(k + 1)**3/7
Let d(x) be the first derivative of 3*x**5/20 - 21*x**4/16 - 39*x**3/4 - 159*x**2/8 - 33*x/2 - 141. Suppose d(a) = 0. What is a?
-2, -1, 11
Let q(o) be the third derivative of -o**8/1344 + o**7/280 - o**6/160 + o**5/240 + 2*o**2 + 16. Find r, given that q(r) = 0.
0, 1
Let j(h) be the second derivative of h**6/80 + 3*h**5/80 - h**4/32 - h**3/8 + 67*h. Suppose j(u) = 0. Calculate u.
-2, -1, 0, 1
Suppose 3*v + 3 = 0, -2*v + 7*v = -2*f + 1. Suppose 16 + 0*p**f + p**2 - 2*p - 16 + p**3 = 0. Calculate p.
-2, 0, 1
Let w(g) be the second derivative of 0 + 1/20*g**4 - 6*g - 1/15*g**3 - 1/50*g**6 + 1/100*g**5 + 0*g**2 + 1/210*g**7. Solve w(u) = 0 for u.
-1, 0, 1, 2
Let j(p) be the third derivative of -p**8/1008 + 4*p**7/315 - 7*p**6/360 - 348*p**2. Factor j(u).
-u**3*(u - 7)*(u - 1)/3
Let p(i) be the second derivative of -23/5*i**5 + 0 - 9*i**4 - 4*i**2 - 14/15*i**6 + 15*i - 26/3*i**3. Factor p(y).
-4*(y + 1)**3*(7*y + 2)
Let k = -8 - -11. Let f = 129 - 81. Suppose -72*v**3 + 80*v**3 - 16 + f*v - 39*v**2 + k*v**2 = 0. What is v?
1/2, 2
Let w = -15 + 17. Suppose -x = -w*o - 8, 0*x + 5*o + 19 = 2*x. What is y in y**3 + y + 2 - 2 - 1 - 2*y**3 + y**x = 0?
-1, 1
Let t(z) be the third derivative of -z**6/60 - z**5/5 - 3*z**4/4 - 3*z**2 - 23. Suppose t(y) = 0. Calculate y.
-3, 0
Let v be 459/18*6/(-3). Let u = -49 - v. Find q such that 0 + 0*q + q**u + 1/2*q**4 - 3/2*q**3 = 0.
0, 1, 2
Let a(q) be the first derivative of -q**6/135 - q**5/30 - q**4/27 + 29*q + 42. Let f(w) be the first derivative of a(w). Factor f(n).
-2*n**2*(n + 1)*(n + 2)/9
Let g(n) be the first derivative of -n**5/240 + n**4/48 + 2*n**2 + 17. Let j(u) be the second derivative of g(u). Factor j(o).
-o*(o - 2)/4
Suppose 7*y - 8*y + 484 = 0. Solve 58 - 28*r + y*r**2 + 15 - 482*r**2 + 25 = 0.
7
Suppose l - 2 = -b, 2*b - 23 = -l - 21. Let h(c) be the third derivative of 1/16*c**4 + 0 + b*c + 1/8*c**3 + 5*c**2 + 1/80*c**5. Determine k so that h(k) = 0.
-1
Let h(z) = 6*z - 381. Let j be h(65). Factor 3/2*v**4 + 0 + j*v**3 + 0*v + 27/2*v**2.
3*v**2*(v + 3)**2/2
Let x(z) = z**3 + 2*z**2 + 2*z + 3. Let q be x(0). Let n = 35 + -30. Factor -2/5*r**n + 2/5*r**q + 0*r**2 + 0 + 0*r + 0*r**4.
-2*r**3*(r - 1)*(r + 1)/5
Let y(c) be the first derivative of c**4/14 + 38*c**3/21 + 80*c**2/7 - 200*c/7 + 413. Factor y(u).
2*(u - 1)*(u + 10)**2/7
Let y be 6/(-4) - (-8)/16 - 0. Let o be (y + (-4)/(-24))*4/(-10). Factor 0 - 1/3*k**3 + 2/3*k**2 - o*k.
-k*(k - 1)**2/3
Let a(i) = -i**3 - i**2 + i - 3. Let w be a(-3). Suppose 3*q - w = -q. Factor 3*k**2 + q*k**2 + k**3 - 5*k**2 - k**4 - k**5.
-k**2*(k - 1)*(k + 1)**2
Let q(w) be the third derivative of w**8/1008 - w**6/120 - w**5/90 - 159*w**2. Factor q(i).
i**2*(i - 2)*(i + 1)**2/3
Suppose 76832 + 138*v + 152*v + 512*v + 2*v**2 - 18*v = 0. Calculate v.
-196
Let d = 10 + -11. Let j be 15/6 + d/(-2). Determine s so that -11 + 23 - 26*s - 2*s**3 + 8*s**j + 8*s**2 = 0.
-3, 2/3, 1
Suppose 5*a + 0 = 10. Let h be ((-34)/10 + 4)*a. Factor 6/5*o**2 + 9/5*o - h*o**3 - 9/5*o**4 - 3/5*o**5 + 3/5.
-3*(o - 1)*(o + 1)**4/5
Let a(o) be the first derivative of -75*o**4 - 8*o**5 + 16 + 0*o - 625/2*o**2 - 250*o**3. Factor a(x).
-5*x*(2*x + 5)**3
Let l = -18283 - -18283. Let -3/4*v**3 + 0*v + l + 9/4*v**2 = 0. Calculate v.
0, 3
Let d be 3*(-4)/(-18)*(-6)/(-2). Suppose d*i - 5*o - 19 = 2, 4*i - 27 = 5*o. Factor 3/2*a**2 + 1/2*a + 1/2*a**4 + 3/2*a**i + 0.
a*(a + 1)**3/2
Suppose 0 = n - 5 + 3. Factor n*i**2 + 2*i**3 + 46*i**5 + i**3 - 47*i**5.
-i**2*(i - 2)*(i + 1)**2
Let n(x) be the first derivative of -x**6/7 - 4*x**5/5 - 23*x**4/14 - 32*x**3/21 - 4*x**2/7 + 19. Solve n(u) = 0.
-2, -1, -2/3, 0
Let o = -1198 - -1198. Factor 1/3*i**2 + 1/3*i - 1/3*i**3 + o - 1/3*i**4.
-i*(i - 1)*(i + 1)**2/3
Let k be (-9)/(-2) - (26 + 1225/(-50)). Factor -27/2*j**k - 3/2 - 21/2*j + 51/2*j**2.
-3*(j - 1)**2*(9*j + 1)/2
Let i be ((-6)/9 + -2 + 4)*-3. Let r be (i/(-10))/(18/15). Let 0 - 1/3*s**4 - 1/3*s + r*s**3 + 1/3*s**2 = 0. Calculate s.
-1, 0, 1
Let i be (2/(-7))/(10/4580). Let g = i - -131. Find o, given that 0*o**4 - g*o**5 + 1/7*o**3 + 0*o + 0 + 0*o**2 = 0.
-1, 0, 1
Factor k**4 + 3*k**4 - 178*k**2 + 206*k**2 + 32*k**3.
4*k**2*(k + 1)*(k + 7)
Let z(c) = c**3 + 7*c**2 + 5*c - 3. Let r be z(-6). Let 4*g**5 - g**r + g**2 - 3*g**4 - 4*g**4 + 0*g**3 + 3*g**3 = 0. What is g?
-1/4, 0, 1
Let u = -17/6 - -3. Let f(d) be the second derivative of 0*d**2 + 5*d - 1/6*d**4 - u*d**3 + 0 - 1/20*d**5. Factor f(x).
-x*(x + 1)**2
Factor 0 - 9/2*u**3 - 63*u + 381/2*u**2.
-3*u*(u - 42)*(3*u - 1)/2
Let w(m) = -13*m**2 - 19*m - 19. Let c(g) be the first derivative of -7*g**3/3 - 5*g**2 - 10*g + 4. Let x(o) = -11*c(o) + 6*w(o). Factor x(d).
-(d + 2)**2
Let p be (-663)/(-1105) + (-46)/(-90). Factor 2/9*h**2 + 8/9 + p*h.
2*(h + 1)*(h + 4)/9
Let j(o) be the first derivative of 0*o - 1/9*o**6 - o**4 - 20 - 1/3*o**2 + 8/9*o**3 + 8/15*o**5. What is n in j(n) = 0?
0, 1
Factor 5*p**3 + 206*p + 2*p**2 - p**4 - 203*p - 9*p**2.
-p*(p - 3)*(p - 1)**2
Let c be 9/(45/(-20)) + -24 + 0. Let t(u) = 7*u**2 - 9 - u**3 + 3*u + 9. Let a(k) = 8*k**3 - 64*k**2 - 28*k. Let d(r) = c*t(r) - 3*a(r). Factor d(g).
4*g**2*(g - 1)
Factor 5/2*r**2 + 6 + 16*r.
(r + 6)*(5*r + 2)/2
Solve 0 + 3/8*w**2 - 3/8*w**4 + 3/4*w - 3/4*w**3 = 0 for w.
-2, -1, 0, 1
Let l be 3/(105/10) + (-19)/(-7). Let k(r) be the second derivative of 3/20*r**5 - 3/2*r**3 + 0 + l*r**2 + 0*r**4 + 3*r. Factor k(t).
3*(t - 1)**2*(t + 2)
Find j such that -30/7*j**3 - 3/7*j**4 - 24/7*j - 51/7*j**2 + 0 = 0.
-8, -1, 0
Let r be 3/((-30)/8*15/(-75)). Suppose 0*n + 5*n + r*n = 0. What is o in 0*o**2 - 4/5*o**3 + 0*o - 2/5*o**4 + n = 0?
-2, 0
Let r(v) be the first derivative of -13 - 11*v**3 - 3/4*v**4 - 105/2*v**2 - 75*v. Let r(h) = 0. Calculate h.
-5, -1
Let d(a) be the first derivative of -4*a**3/3 + 8*a**2 + 128*a - 259. Determine h, given that d(h) = 0.
-4, 8
Find d such that -241 - 24*d + d**2 + 210 + 175 = 0.
12
Let q(d) = 2*d**2 + 253*d + 1100. Let s be q(-122). Suppose 0*a - 17 = -4*a + 5*r, 0 = 2*a - 5*r - 11. Factor a*x**s + 9/4*x**3 + 0 + x + 1/2*x**4.
x*(x + 2)**2*(2*x + 1)/4
Suppose 9*t = 16*t - 21. Factor -t*q - 4*q**3 - 32*q**3 + 12*q**4 - 3 + 27*q**2 + 3*q**3.
3*(q - 1)**3*(4*q + 1)
Let h(y) be the first derivative of -y**4 + 0*y + 0*y**2 + 27 - 8/3*y**3. Find f such that h(f) = 0.
-2, 0
Let b be 6/(-36) + (-50)/(-12). Find r, given that -45*r + b*r**2 - 14 + 78 + 13*r = 0.
4
Let q be (-2)/4 - 5/(-2). Let i be (108/14)/q - 3. Factor -i + 8/7*j - 2/7*j**2.
-2*(j - 3)*(j - 1)/7
Let g(d) be the second derivative of -d**5/90 - 49*d**4/18 - 2401*d**3/9 - 117649*d**2/9 - 17*d + 6. Factor g(o).
-2*(o + 49)**3/9
Suppose 0 = 3*z + 1 - 10. Factor -5*d**2 - 4 + 7*d**4 - 83*d**z + 92*d**3 - 9*d + 2.
(d - 1)*(d + 1)**2*(7*d + 2)
Let x(b) be the third derivative of -b**7/1890 - b**6/135 + b**5/18 - 4*b**4/27 + 11*b**3/54 - 36*b**2 + 1. Solve x(g) = 0 for g.
-11, 1
What is f in 8 + 2 - 35*f - 10*f**2 - 7*f**3 + 30*f**3 + 12*f**3 = 0?
-1, 2/7, 1
Let i(d) = -2*d**3 - 22*d**2 - 56*d - 4. Let r(v) = 2*v**3 + 22*v**2 + 56*v + 3. Let c(j) = 3*i(j) + 4*r(j). Determine l, given that c(l) = 0.
-7, -4, 0
Let b(k) be the first derivative of k**5/20 - 7*k**4/16 + k**3 + k**2/2 - 4*k - 54. Find w, given that b(w) = 0.
-1, 2, 4
Determine m, given that -147*m + 4*m**5 - 8*m**2 + 147*m - 12*m**3 = 0.
-1, 0, 2
Let j(p) be the second derivative of -p**4/48 - 11*p**3/24 - 5*p**2/4 - 2*p + 14. Solve j(a) = 0.
-10, -1
Let m(f) be the first derivative of -2*f - 14 + 2/3*f**3 + 0*f**2. Determine k so that m(k) = 0.
-1, 1
Let j(g) be the third derivative of g**5/105 + g**4/42 - 38*g**2. Factor j(n).
4*n*(n + 1)/7
Let v be (6/(2 - 0))/(9/6). Factor -10*w + 100 + 2*w**v - 52 - 40.
2*(w - 4)*(w - 1)
Let -5*d**3 - 13500*d + 1222*d**2 - 18574 + 164940 - 11366 - 772*d**2 = 0. Calculate d.
30
Let h(u) = -17*u + 25 + 18*u**2 - 7*u**2 - 31 - u**3. Let f be h(9). Find t such that 8/7 + 4/7*t**f - 12/7*t + 0*t**2 = 0.
-2, 1
Factor -s**4 - 170*s**3 + s**2 + 342*s**3 + s**5 - 173*s**3.
s**2*(s - 1)**2*(s + 1)
S