0 = -b - 5 + 15. Let -35*n**2 - 4*n + 20*n + b*n**4 + 26*n**3 - 11*n**2 - 6*n**2 = 0. What is n?
-4, 0, 2/5, 1
Let o = 16893 - 16893. Solve o + 1/2*u**2 + 1/2*u = 0.
-1, 0
Let f be 11/5 - 24/(-30). Find l such that 20*l**2 + 7*l**3 - 3*l**3 + 5*l**f - 8*l - 20*l**4 - l**3 = 0.
-1, 0, 2/5, 1
Let i(t) be the second derivative of t**6/75 + 3*t**5/50 - t**4/5 - 8*t**3/15 - 34*t. Suppose i(y) = 0. Calculate y.
-4, -1, 0, 2
Let r(h) = -4*h**3 - 2*h**2 - 5*h - 4. Let c be r(-1). Suppose 11*l - 10*l = c. Suppose 1/2*p + 0 + 0*p**l - 3/4*p**2 + 1/4*p**4 = 0. What is p?
-2, 0, 1
Let z(g) be the second derivative of g**6/60 + 7*g**5/20 - 9*g**4/2 + 58*g**3/3 - 40*g**2 - 12*g + 7. Find a, given that z(a) = 0.
-20, 2
Suppose 9 = 4*w - w. Suppose -w*h = -19 - 11. Factor -4*f**3 + 15*f**2 + 2*f**2 + 2 + 4*f - 4*f**4 - h - 5*f**2.
-4*(f - 1)**2*(f + 1)*(f + 2)
Suppose -59 = -10*k + 221. Suppose k*i - 32*i + 8 = 0. Solve -6 + 4*w - 2/3*w**i = 0.
3
Find s such that -11/2*s**3 + 66*s - 36 - 97/4*s**2 - 1/4*s**4 = 0.
-12, 1
Let r(m) be the third derivative of m**6/300 - m**5/75 - m**4/12 + 2*m**3/5 - 332*m**2. Factor r(s).
2*(s - 3)*(s - 1)*(s + 2)/5
Suppose 106*c + 28*c + 10*c - 1885 - 707 - 2*c**2 = 0. Calculate c.
36
Let q = -340 - -361. Let w be (20 - q) + (6/4 - -1). Determine d so that w*d**3 + 6*d**2 + 0 + 9/2*d = 0.
-3, -1, 0
Suppose 4/5*y**2 + 0*y + 0 - 4/5*y**3 = 0. What is y?
0, 1
Let j(t) = -5*t**3 - 15*t**2 - 7*t. Let w(b) = 5*b**3 + 15*b**2 + 8*b. Let k = -33 + 30. Let h(q) = k*w(q) - 2*j(q). Factor h(s).
-5*s*(s + 1)*(s + 2)
Let m be 2/(-1) - 1*(-393)/(-30). Let b = 31/2 + m. Factor 6/5*d + 4/5*d**2 + b.
2*(d + 1)*(2*d + 1)/5
Suppose 11 = -3*u - 5*a + 17, 5*a = 0. Factor 0 - 2/9*p + 2/9*p**u.
2*p*(p - 1)/9
Let r(v) = -202 + 2*v**2 + 201 - v**2. Let m(t) = 0*t - 1 - 2*t + 6 - 4*t**2. Let h(z) = -3*m(z) - 15*r(z). Solve h(k) = 0.
0, 2
Let p(y) be the first derivative of -11*y**4/6 - 98*y**3/27 + 10*y**2/9 - 275. Factor p(x).
-2*x*(3*x + 5)*(11*x - 2)/9
Let l = 2329 + -4655/2. Let -3*p**2 - l + 3/4*p**3 + 15/4*p = 0. Calculate p.
1, 2
Let m(o) be the first derivative of 1/5*o**5 - 1/3*o**4 - 11 + 0*o**2 + 0*o**3 - 11*o. Let g(n) be the first derivative of m(n). Factor g(j).
4*j**2*(j - 1)
Let m(d) be the second derivative of d**4/12 - d**3/6 + d**2/2 + 7*d. Let o be m(3). Factor 2 - 2*x**2 + x**3 + o*x + x**3 - 9*x.
2*(x - 1)**2*(x + 1)
Let u(d) be the second derivative of -d**5/20 - 7*d**4/6 - 49*d**3/6 + 4*d + 21. Factor u(v).
-v*(v + 7)**2
Let k = -14 + 17. Find v such that -6*v**2 + 2*v**4 - 24 + 20 + 3*v**k - v**3 - 10*v = 0.
-1, 2
Let u(f) be the third derivative of -f**8/80640 - f**7/5040 - f**6/720 + 3*f**5/20 + 4*f**2. Let a(l) be the third derivative of u(l). Factor a(k).
-(k + 2)**2/4
Let s = 61792/29505 + 4/4215. Let j = s + -10/7. Factor 2/3*g + j*g**5 + 8/3*g**4 + 4*g**3 + 8/3*g**2 + 0.
2*g*(g + 1)**4/3
Let g(x) = -x**3 - 12*x**2 + 53*x - 30. Let u(v) = v**3 + 12*v**2 - 51*v + 30. Let o(y) = 4*g(y) + 5*u(y). Factor o(i).
(i - 2)*(i - 1)*(i + 15)
Let q(j) be the first derivative of 3/4*j**2 - 14 + 3/8*j**4 + j**3 + 0*j. Factor q(w).
3*w*(w + 1)**2/2
Let f(l) = 3*l**3 + 3*l**2 - 5*l. Let i(g) = 7*g**3 + 7*g**2 - 9*g. Let b(s) = 5*f(s) - 2*i(s). Let h be b(-3). Factor -8*o**4 + 0*o - 1/2*o**2 + 0 - 4*o**h.
-o**2*(4*o + 1)**2/2
Let h = -14 + 19. Let 25*x**2 - 30*x**5 - 254*x**4 + 229*x**4 + 70*x**3 - 10*x - 30*x**h = 0. Calculate x.
-1, -2/3, 0, 1/4, 1
Let a(x) be the third derivative of x**8/2688 - x**7/560 - 3*x**6/320 - x**5/96 - 97*x**2. Find c such that a(c) = 0.
-1, 0, 5
Let b be 2*5/((-60)/44) + (4 - -4). Factor -1/2 + b*r - 1/6*r**2.
-(r - 3)*(r - 1)/6
Let t(f) be the third derivative of f**8/784 + 4*f**7/735 - 17*f**6/280 + 13*f**5/105 - f**4/14 + 106*f**2. Suppose t(d) = 0. Calculate d.
-6, 0, 1/3, 1, 2
Let v be (-112)/1088*-40 + (-4)/34. Factor -4/5*o**v + 0*o - 16/5*o**3 + 0 - 16/5*o**2.
-4*o**2*(o + 2)**2/5
Suppose 0 = -2*a + a - 4*j + 15, 2*j + 132 = 4*a. Determine v so that -a - 20 + 8*v + 45 - 2*v**2 = 0.
1, 3
Determine u so that -2/5*u**3 + 46/5*u - 16/5*u**2 + 12 = 0.
-10, -1, 3
Let h(f) be the second derivative of -f**7/168 - 3*f**6/40 + 11*f**5/80 + 3*f**4/16 - 5*f**3/12 - 13*f - 1. Determine a, given that h(a) = 0.
-10, -1, 0, 1
Let h(a) be the first derivative of -32*a**2 - 16*a + 19 + 44/3*a**3 + 89*a**4 + 70/3*a**6 + 404/5*a**5. What is u in h(u) = 0?
-1, -2/7, 2/5
Let c(u) be the second derivative of u**5/110 + 25*u**4/66 + 47*u**3/33 + 23*u**2/11 - 441*u. Determine b so that c(b) = 0.
-23, -1
Let y(f) be the third derivative of 3*f**8/280 - 12*f**7/175 + 4*f**6/25 - 41*f**5/225 + 7*f**4/60 - 2*f**3/45 - 2*f**2 + 9. Determine u so that y(u) = 0.
1/3, 1, 2
Let l(b) be the first derivative of 4*b**3/21 - 260*b**2/7 + 16900*b/7 + 216. Factor l(g).
4*(g - 65)**2/7
Let v = 3356 + -23491/7. Determine l so that -5/7*l**2 - l - 3/7 - v*l**3 = 0.
-3, -1
Suppose 6*j + 90 = 114. Let o(n) be the second derivative of -3/2*n**5 + 5/3*n**j - 5/6*n**3 + 0 + 0*n**2 + 9*n - 5/42*n**7 + 2/3*n**6. What is x in o(x) = 0?
0, 1
Let y(d) be the third derivative of -1/4*d**4 + 1/20*d**5 + 2*d**2 + 0 + 0*d + 0*d**3. Let y(o) = 0. Calculate o.
0, 2
Suppose -3*y = -4*u + 5*u - 180, 120 = 2*y - 3*u. Find j, given that 83*j**2 - 15*j**4 + 52*j**2 + 160*j + 25*j**3 - 7*j**5 + 2*j**5 + y = 0.
-2, -1, 3
Factor -12/5*j**2 + 2/5*j**4 + 16/5 - 2/5*j**3 + 8/5*j.
2*(j - 2)**2*(j + 1)*(j + 2)/5
Factor -2/9*m**2 + 28/9*m - 26/9.
-2*(m - 13)*(m - 1)/9
Let h(x) be the third derivative of 0*x**3 + 0*x**5 + 0 + 1/72*x**4 + 1/315*x**7 + 0*x + 7*x**2 - 1/120*x**6. Factor h(p).
p*(p - 1)**2*(2*p + 1)/3
Suppose 2*z + 3*z - 80 = 0. Suppose -z = f - 3*f. Factor 6*l**5 - f*l**5 + 2*l**4 + 0*l**4.
-2*l**4*(l - 1)
Suppose 5 - 17 = 3*g. Let o be (-9)/((-45)/g) + 76/70. Factor -4/7*w**3 - 4/7*w**2 + 2/7 + 2/7*w**4 + 2/7*w + o*w**5.
2*(w - 1)**2*(w + 1)**3/7
Let s(y) be the first derivative of -7*y**6/480 - y**5/120 + 7*y**4/96 + y**3/12 - 11*y**2/2 + 47. Let h(c) be the second derivative of s(c). Factor h(n).
-(n - 1)*(n + 1)*(7*n + 2)/4
Factor 70*n**2 + 39*n**4 - 13*n**4 - 8*n**4 - 36*n**3 - 14*n**4 - 28*n - 10*n**2.
4*n*(n - 7)*(n - 1)**2
Let q(a) be the second derivative of 0 - 23/39*a**3 + 1/26*a**4 - 11*a - 8/13*a**2. Find n such that q(n) = 0.
-1/3, 8
Let x(a) = -a**2 - 9*a + 16. Let f be x(-11). Let o be (3/(-3) - -4)*f/(-9). Determine y so that 9/5*y**o + 2/5 - 3/5*y**4 - 1/5*y**3 + 9/5*y = 0.
-1, -1/3, 2
Let n = 847/9876 - 2/823. Let r(x) be the third derivative of n*x**4 + 0 + 1/120*x**5 - 8*x**2 + 0*x + 1/3*x**3. Factor r(b).
(b + 2)**2/2
Let p(g) be the third derivative of g**10/252000 + g**9/33600 + g**8/16800 + 4*g**5/15 + 5*g**2. Let x(o) be the third derivative of p(o). Factor x(b).
3*b**2*(b + 1)*(b + 2)/5
Let q(c) = -c**2 + 9*c - 6. Let z be q(8). Let n(s) = s**2 - 21. Let f be n(5). Factor 3/5*k - 3/5*k**3 - 1/5*k**z + 0 + 1/5*k**f.
k*(k - 3)*(k - 1)*(k + 1)/5
Solve 1/5*d**4 - 9/5*d**2 - 9/5*d + 0 + 1/5*d**3 = 0.
-3, -1, 0, 3
Factor -38 - 243*o - 14 - 4*o**2 + 299*o.
-4*(o - 13)*(o - 1)
Let r(t) be the third derivative of -t**7/105 - t**6/30 - t**5/30 - 736*t**2. Solve r(y) = 0.
-1, 0
Let h(b) = -5*b**2 + 5*b - 6. Let w(c) = -c**2. Let a(y) = 5*h(y) - 30*w(y). Determine k, given that a(k) = 0.
-6, 1
Find h such that 8/5*h + 4/5*h**4 + 1/5*h**5 + 0 - 3/5*h**3 - 2*h**2 = 0.
-4, -2, 0, 1
Find v such that -80 + 85/3*v**3 - 340/3*v**2 + 500/3*v - 5/3*v**4 = 0.
1, 2, 12
Let l(t) = 756*t - 2268. Let y be l(3). Factor 0*q**3 + 0*q - 1/5*q**4 + y + 1/5*q**2.
-q**2*(q - 1)*(q + 1)/5
Let x(l) be the second derivative of -2*l**6/15 + 3*l**5/5 + 5*l**4/3 - 2*l**3 - 8*l**2 + 73*l + 2. Factor x(w).
-4*(w - 4)*(w - 1)*(w + 1)**2
Let z(v) be the third derivative of 209*v**5/75 - 14*v**4 + 8*v**3/15 - 474*v**2. Factor z(o).
4*(o - 2)*(209*o - 2)/5
Let s(d) be the first derivative of -d**4/4 + d**3/3 + d**2/2 + 6. Let i(g) = 6*g**3 - 3*g**2 - 15*g. Let w(u) = i(u) + 3*s(u). Solve w(r) = 0.
-2, 0, 2
Suppose 60 = -6754*z + 6769*z. Find q, given that 3/7*q**2 + 9/7*q**z + 0*q + 0 + 9/7*q**3 + 3/7*q**5 = 0.
-1, 0
Let h(u) be the third derivative of 14*u**2 + 1/160*u**5 - 1/32*u**4 + 0 + 0*u - 3/16*u**3. Factor h(d).
3*(d - 3)*(d + 1)/8
Let t be (-38)/(-722) - 763/(-665)