3 + 0 = 0. What is n?
-1, 0, 1
Suppose 247 = -8*k + 3*k - 4*f, 2*k = 5*f - 79. Let s = k - -50. Factor r - 3/2*r**2 + 1/2*r**4 + 0*r**s + 0.
r*(r - 1)**2*(r + 2)/2
Let t(j) = 4*j**5 - 4*j**4 + 2*j**2 + 2*j + 2. Let b(d) be the third derivative of -d**5/60 - d**4/24 - d**3/6 - 2*d**2. Let g(k) = -2*b(k) - t(k). Factor g(y).
-4*y**4*(y - 1)
Let y(i) = i**2 + 16*i + 57. Let h be y(-11). Solve -2/9*m**h + 2/3 + 4/9*m = 0 for m.
-1, 3
Let o(i) be the first derivative of i**6/2 - 2*i**5 + 5*i**4/4 + 5*i**3/3 + 3*i + 20. Let p(g) be the first derivative of o(g). Suppose p(d) = 0. Calculate d.
-1/3, 0, 1, 2
Let b = 2699 + -13483/5. Find g, given that -14/15*g**3 + 2*g**2 + b*g + 2/15*g**5 - 2/5*g**4 + 0 = 0.
-2, -1, 0, 3
Find w such that -4/11*w**3 - 2/11 + 0*w**4 + 3/11*w + 2/11*w**2 + 1/11*w**5 = 0.
-2, -1, 1
Let c(x) be the second derivative of 19/42*x**4 + 0*x**2 - 25*x + 0 + 2/7*x**3 - 1/10*x**5. Let c(y) = 0. Calculate y.
-2/7, 0, 3
Let z be -2*(-1)/((-2)/(-3)). Suppose -2 = 4*t - 2*p, -5*t + 9*t = -5*p + 19. Factor z + 6*g**2 + 6*g + 2*g**3 - t + 0 + 0*g**3.
2*(g + 1)**3
Find n, given that 3/4*n - 1 + 1/4*n**2 = 0.
-4, 1
Let z(m) be the third derivative of m**5/90 - 2*m**4 + 144*m**3 - 7*m**2. Factor z(x).
2*(x - 36)**2/3
Suppose -2*k**3 + 20*k**4 + 10*k**2 - 22*k**4 - 6*k + 0*k = 0. Calculate k.
-3, 0, 1
Let k(r) be the third derivative of r**6/60 + 11*r**5/5 + 96*r**4 + 2048*r**3/3 + 2*r**2 + 16*r. Factor k(h).
2*(h + 2)*(h + 32)**2
Solve -34 - 52*h**2 - 9*h + 7 + h**3 + 55*h**2 = 0.
-3, 3
Determine i so that -9 + 20*i - 11*i**4 - 11 + 5*i**5 + 41 - 4*i**4 - 25*i**3 + 75*i**2 - 81 = 0.
-2, -1, 1, 2, 3
Let j(t) be the second derivative of 5*t**7/14 + 13*t**6/32 + 7*t**5/40 + t**4/32 - 7*t**2/2 + 5*t. Let b(o) be the first derivative of j(o). Factor b(d).
3*d*(4*d + 1)*(5*d + 1)**2/4
Let b be 45/(-72) - 5/(60/(-8)). Let x(n) be the third derivative of 0*n**3 + n**2 + b*n**4 + 0*n + 0 + 7/120*n**5. Factor x(j).
j*(7*j + 2)/2
Let y = -3784/393 + -5/131. Let v = y + 10. Let -v*c**3 + 2/3*c**2 + 0*c + 0 = 0. What is c?
0, 2
Let d(a) be the second derivative of -a**6/6 + 10*a**5 - 500*a**4/3 + a + 71. Factor d(b).
-5*b**2*(b - 20)**2
Let v = 1683 - 10097/6. Factor 1/6*x**3 + 1/6*x**2 + 0 - 1/6*x**4 - v*x.
-x*(x - 1)**2*(x + 1)/6
Let h(z) be the first derivative of 0*z + 7*z**3 - 3*z**2 - 21/4*z**4 + 6/5*z**5 + 19. Factor h(l).
3*l*(l - 2)*(l - 1)*(2*l - 1)
Let z(u) be the first derivative of -u**4/34 - 52*u**3/51 - 25*u**2/17 - 384. Factor z(q).
-2*q*(q + 1)*(q + 25)/17
Let s be (4/((-16)/3))/(((-611)/188)/13). Factor 6/17*h + 2/17*h**s - 6/17*h**2 - 2/17.
2*(h - 1)**3/17
Let c(i) be the second derivative of 0 + 5/2*i**4 + 2/3*i**6 + 0*i**2 + 5/6*i**3 - 9*i + 9/4*i**5. Solve c(u) = 0 for u.
-1, -1/4, 0
Let y = 14/28029 + -1131329/1653711. Let p = -1/59 - y. Factor 8/3*v**2 + 0 + p*v**3 + 8/3*v.
2*v*(v + 2)**2/3
Let s(y) be the third derivative of -y**7/630 - y**6/45 + y**5/180 + y**4/9 - 769*y**2. Suppose s(r) = 0. Calculate r.
-8, -1, 0, 1
Let g(a) be the second derivative of -2/21*a**3 - 19*a + 0 - 1/35*a**5 + 0*a**2 - 2/21*a**4. Factor g(k).
-4*k*(k + 1)**2/7
Suppose -t - 28 = -5*i - 5*t, -3*t = i + 1. Let g(v) = -v**3 + 9*v**2 - 8*v + 3. Let r be g(i). What is h in -9*h**r - 8*h**3 + 2*h + 15*h**3 + 2 - 2*h**2 = 0?
-1, 1
Let m(p) = -6*p**2 + 38*p + 125. Let w(i) = 21*i**2 - 132*i - 438. Let n(s) = 18*m(s) + 5*w(s). Let n(x) = 0. Calculate x.
-2, 10
Let w(s) be the first derivative of 1/20*s**5 + 1/8*s**4 + 5/2*s**2 + 0*s + 5 + 0*s**3. Let c(z) be the second derivative of w(z). Let c(k) = 0. Calculate k.
-1, 0
Let k be 1 - (3 - 3 - 3). Let b = k - -5. Factor i**3 + 27 - 8*i - 2*i**3 - 19*i + b*i**2.
-(i - 3)**3
Let m(q) = -q. Let j(b) = -3*b - 15. Let y(r) = -j(r) + m(r). Let s be y(0). Suppose -g**2 + g**2 - 20*g**3 + s*g**3 = 0. What is g?
0
Let j(z) be the second derivative of 1/7*z**3 + 3/140*z**5 - 3/28*z**4 + 0 + 3*z + 0*z**2. Factor j(i).
3*i*(i - 2)*(i - 1)/7
Let x = -2115/4 - -23269/44. Find p such that 3/11*p**3 - 5/11*p**2 + 1/11*p + x = 0.
-1/3, 1
Determine i, given that 11025/4*i + 3/4*i**3 - 315/4*i**2 - 128625/4 = 0.
35
Find n such that -3/4*n**4 + 0*n - 1/4*n**2 + 0 + 3/4*n**3 + 1/4*n**5 = 0.
0, 1
Let v(m) = 3*m**2 - 12*m. Let d(b) = -b**2 + b. Let s(o) = o. Suppose 4*a = -25 + 1. Let r be s(a). Let z(l) = r*d(l) - v(l). Let z(c) = 0. What is c?
-2, 0
Let w be 12/84 - 68/(-14). Suppose j + 3 = i, -19 = -2*j - w*i + 2*i. Factor 26*h + 8 + 76*h**j + 18*h + 19*h**3 + 12*h**4 + 5*h**3 + 28*h**3.
4*(h + 1)**2*(h + 2)*(3*h + 1)
Let q be (-5892)/84 + 1/1 - 4. Let h = -72 - q. Find k, given that 2/7*k**5 + 0*k**2 + 8/7*k**3 + 0*k + 0 + h*k**4 = 0.
-2, 0
Let c = 265 - 253. Let v(a) be the first derivative of c - 2/3*a**3 - 2*a + 2*a**2. Factor v(f).
-2*(f - 1)**2
Let c(g) = g**2 + 6*g + 3. Let t be c(-6). Factor -t*a**2 + a**3 + 4 + 4*a**3 - 4*a**3.
(a - 2)**2*(a + 1)
Determine c, given that -c + 0 - 1/6*c**2 - 1/6*c**4 + 2/3*c**3 = 0.
-1, 0, 2, 3
Let n(r) be the first derivative of -r**6/960 + r**5/480 + r**4/96 - 27*r**2/2 - 30. Let m(h) be the second derivative of n(h). Factor m(q).
-q*(q - 2)*(q + 1)/8
Let n = 46 - -64. Determine w so that -1 + w**4 - 2*w + n*w**2 + 2*w**3 - 110*w**2 = 0.
-1, 1
Let z = 29 - -52. Let h be z/18 + 2 + 1. Factor -h*w + 6*w**2 - 3 + 9/2*w**3.
3*(w - 1)*(w + 2)*(3*w + 1)/2
Let v be (-6)/(-14) - (-3 - -1)/(-14). Solve 0*f - v*f**5 + 0 + 0*f**2 + 4/7*f**4 - 2/7*f**3 = 0 for f.
0, 1
Let h(w) be the first derivative of 1/14*w**3 + 7*w - 1/7*w**2 + 1/210*w**6 - 3/140*w**5 + 6 + 1/84*w**4. Let f(d) be the first derivative of h(d). Factor f(j).
(j - 2)*(j - 1)**2*(j + 1)/7
Let s(y) = -2*y**2 + 9*y - 7. Let z = -12 + 14. Let i(t) = -5*t + 2*t**z - 5*t + 6 + 2*t. Let l(v) = -7*i(v) - 6*s(v). Factor l(a).
-2*a*(a - 1)
Factor -6 + 3*i + 27 + 3 + i - 4*i**2.
-4*(i - 3)*(i + 2)
Let l(t) be the third derivative of t**7/210 + t**6/120 - t**5/20 - t**4/24 + t**3/3 + 16*t**2 + 1. Let l(d) = 0. Calculate d.
-2, -1, 1
Factor -8/5*y**3 + 22/5*y**2 + 0 - 2/5*y**4 - 12/5*y.
-2*y*(y - 1)**2*(y + 6)/5
Let j = -33 + 33. Determine k, given that -2*k**3 - k**4 + 5*k**5 - 4*k**5 + j*k**4 = 0.
-1, 0, 2
Let h = -25 + 27. Suppose -5*y + h*l + 9 = 0, l + 3 = -y + 9. Factor -n + n**y + 174 - 174.
n*(n - 1)*(n + 1)
Let n(j) be the second derivative of j**5/5 + 4*j**4 + 6*j**3 - 44*j**2 - 652*j. Find r such that n(r) = 0.
-11, -2, 1
Suppose 20*i**2 + 68/3 + 44*i - 4/3*i**3 = 0. What is i?
-1, 17
Let b be 0 - 84/(-70)*(-10)/(-3). Let l(j) be the second derivative of 0*j**2 - 3/4*j**5 - j**b + 3/10*j**6 + 2*j**3 + 0 - 2*j. Factor l(p).
3*p*(p - 2)*(p + 1)*(3*p - 2)
Let c be (0 - -6)/1 + -4. Factor 10*d**3 + c*d**3 - 13*d**2 + 20*d + 2 - 8 - 2*d**4 - 11*d**2.
-2*(d - 3)*(d - 1)**3
Let v(p) be the first derivative of p**4/10 + 16*p**3/15 + 13*p**2/5 + 12*p/5 - 80. Factor v(m).
2*(m + 1)**2*(m + 6)/5
Let v(s) be the first derivative of -s**6/3 - 4*s**5/5 + 84. Find z, given that v(z) = 0.
-2, 0
Let u(o) be the second derivative of 0*o**4 + 0 + 4/15*o**3 - 31*o - 2/25*o**5 + 2/75*o**6 - 2/5*o**2. Factor u(p).
4*(p - 1)**3*(p + 1)/5
Let a(z) be the third derivative of z**5/540 - 13*z**4/54 + 17*z**3/18 - 2*z**2 - 78*z. Find t such that a(t) = 0.
1, 51
Let r(z) be the third derivative of -1/10*z**5 - 1/48*z**6 - 1/6*z**3 + 0 + 20*z**2 + 0*z - 3/16*z**4. Factor r(l).
-(l + 1)**2*(5*l + 2)/2
Let u be 3/(-3)*-13 - 2. Let v = -8 + u. Factor 0 + 0*k + 0*k**2 + 4/13*k**v + 2/13*k**4.
2*k**3*(k + 2)/13
Let r be 3/15 + (-28)/(-10). Let -12 - 8 + 5*w**5 - 15*w**r + 20 + 10*w**2 = 0. Calculate w.
-2, 0, 1
Let f(b) be the third derivative of b**8/168 + 2*b**7/35 - 7*b**6/60 - 58*b**2. Factor f(n).
2*n**3*(n - 1)*(n + 7)
Let g(l) be the second derivative of -l**10/136080 + l**9/22680 - l**8/10080 + l**7/11340 + l**4/4 - 4*l. Let b(x) be the third derivative of g(x). Factor b(a).
-2*a**2*(a - 1)**3/9
Let i = 467/2514 - 8/419. Let 1/6*k**3 - 1/6*k**5 + i*k**2 + 0 - 1/6*k**4 + 0*k = 0. Calculate k.
-1, 0, 1
Let m be 3/((-45)/(-6))*10. Let q = 2 + 0. Factor -3*g**4 + 6*g**q + g**4 + 0*g**4 - m*g.
-2*g*(g - 1)**2*(g + 2)
Let o(s) be the third derivative of 1/100*s**5 + 1/120*s**4 - 8*s**2 - 1/10*s**3 + 0 - 1/600*s**6 + 0*s. Solve o(c) = 0.
-1, 1, 3
Let w = -79/2