s n?
-1, 0, 1
Suppose 4*q - 12 = -4*b, 3*b = 2*b - 2*q + 6. Suppose b = a - 0*p - p + 1, a - 11 = -3*p. Factor -z**2 + 2*z**3 - z + 2 + z**2 + 6*z**a + 7*z.
2*(z + 1)**3
Let s(m) be the first derivative of -m**4/6 - 46*m**3/9 - 22*m**2/3 + 437. Factor s(t).
-2*t*(t + 1)*(t + 22)/3
Let d(u) = -2*u**5 + 14*u**4 - 22*u**3 + 18*u**2. Let f(y) = y**5 - 9*y**4 + 15*y**3 - 12*y**2. Let l(s) = 5*d(s) + 8*f(s). Solve l(j) = 0.
-3, 0, 1
Suppose -4*v + 2 = -6. Suppose 0*a**2 + a**2 + a**2 - v*a**4 = 0. Calculate a.
-1, 0, 1
Let h be 222/14 - 5/(-35). Let g be (-8)/(-36) + h/9. Factor -1/2*w**3 + 0 + 1/2*w**4 + 0*w + 0*w**g.
w**3*(w - 1)/2
What is t in 1368*t**4 + 3*t**3 + 18*t**5 + 381*t**2 - 54 - 2863*t**4 - 2*t + 1408*t**4 - 259*t = 0?
-2, -1/6, 1, 3
Let a(c) be the third derivative of c**5/12 - 5*c**4/12 + 5*c**3/6 - 100*c**2. Determine b, given that a(b) = 0.
1
Let x(r) be the third derivative of r**7/420 - r**6/80 + r**4/12 + 70*r**2. Factor x(n).
n*(n - 2)**2*(n + 1)/2
Suppose 3*n - 1 = -4, -5*n + 155 = 4*c. Find u, given that -35*u**3 + 9*u**5 - 10*u**2 - 12*u**5 + c + 39*u + 8*u**5 + 21*u = 0.
-2, -1, 2
Find y, given that 0 - 2/5*y**4 - 22/5*y**2 - 42/5*y**3 + 14/5*y**5 + 4/5*y = 0.
-1, 0, 1/7, 2
Let z(d) be the third derivative of d**7/175 + 13*d**6/150 + 31*d**5/150 - 7*d**4/3 - 20*d**3/3 - 4*d**2 - 7. Suppose z(l) = 0. What is l?
-5, -2/3, 2
Let c(x) = x**3 + 5*x**2 + 3*x + 1. Let q be c(-4). Factor q*n + n**2 - 2*n**2 - 6*n + 3*n**4 + n**3 - 2*n**2.
n*(n - 1)*(n + 1)*(3*n + 1)
Let m(w) be the first derivative of -3 - w**4 + 5/3*w**3 - w**2 + 1/5*w**5 + 0*w. Determine u, given that m(u) = 0.
0, 1, 2
Let q = 14738 - 14734. Determine c so that 8/21*c - 2/7*c**3 - 2/21*c**q + 0 + 0*c**2 = 0.
-2, 0, 1
Let v(w) be the third derivative of w**9/756 + w**8/105 + w**7/42 + w**6/45 - w**3/3 + 10*w**2. Let j(t) be the first derivative of v(t). Factor j(f).
4*f**2*(f + 1)**2*(f + 2)
Let s be ((-78)/(-546))/((-1)/(-10)). Let -s*t**2 - 8/7 + 2/7*t**3 + 16/7*t = 0. Calculate t.
1, 2
Let u(g) be the first derivative of -4*g**3/21 + 86*g**2/7 + 176*g/7 - 272. Factor u(t).
-4*(t - 44)*(t + 1)/7
Let w be (-20)/(-15) - (-16530)/(-5796). Let u = -3/161 - w. Factor 3/2*a**4 - 3*a**3 + 0 + 3*a - u*a**2.
3*a*(a - 2)*(a - 1)*(a + 1)/2
Let x(y) = -y**2 - 1. Let s(h) = 2 - 43*h**2 + 87*h**2 + h - 42*h**2. Suppose 5*l = 10 + 20. Let j(w) = l*s(w) + 15*x(w). Find f, given that j(f) = 0.
1
Let -3/7*a**4 + 12/7*a**2 + 0 + 0*a**3 + 0*a = 0. Calculate a.
-2, 0, 2
Let o be (1 - 296/(-156))*(-12)/(-20). Let f = o + -20/13. Determine s so that -4/5 - f*s**4 + 6/5*s**3 - 13/5*s**2 + 12/5*s = 0.
1, 2
Let d(g) be the third derivative of -g**5/150 + g**4/5 - 11*g**3/15 - 32*g**2. Suppose d(f) = 0. What is f?
1, 11
Suppose -3*v**3 + 3*v**4 - 2077*v + 2053*v - 2*v**3 - 30*v**2 + 2*v**3 = 0. Calculate v.
-2, -1, 0, 4
Let h = -103 - -144. Let t = h + -41. Solve 0 + 2/3*c**2 + 4/3*c**3 + 2/3*c**4 + t*c = 0 for c.
-1, 0
Let y(j) be the first derivative of -j**5/50 - j**4/10 - j**3/6 - j**2/10 - 20. Factor y(p).
-p*(p + 1)**2*(p + 2)/10
Let y(d) be the third derivative of -d**6/210 - 4*d**5/35 - 6*d**4/7 + d**2 - 2*d. What is t in y(t) = 0?
-6, 0
Let x(w) be the first derivative of 2*w**5/105 + w**4/3 - 190*w**3/63 - 120. Suppose x(m) = 0. Calculate m.
-19, 0, 5
Solve -2/3*x**2 - 46/3*x + 16 = 0 for x.
-24, 1
Let f = -8 - -10. Suppose -f*y = -4*l - 10, 5*y = 3*y - 3*l + 3. Factor -9/4*a**2 + 0 + 1/2*a + 7/4*a**y.
a*(a - 1)*(7*a - 2)/4
Let s be (1 - 3)/(-22 - -5 - -9). Let x(t) be the first derivative of -1/12*t**3 + 2 - 1/4*t - s*t**2. Suppose x(h) = 0. Calculate h.
-1
Let y(c) be the second derivative of -c**7/22680 - c**6/3240 - c**4/6 - 11*c. Let h(o) be the third derivative of y(o). Let h(t) = 0. Calculate t.
-2, 0
Factor 6400*n + 1/3*n**3 - 512000/3 - 80*n**2.
(n - 80)**3/3
Let b(s) be the third derivative of 1/30*s**5 + 36*s**2 + 0 + 0*s + 0*s**3 + 1/6*s**4 - 1/60*s**6. Factor b(l).
-2*l*(l - 2)*(l + 1)
Let a(b) = b**3 + 5*b**2 + 78*b + 219. Let h be a(-3). Factor 0 + 0*t**2 - 2*t**4 + 4/3*t**h + 2/3*t**5 + 0*t.
2*t**3*(t - 2)*(t - 1)/3
Let a(c) be the second derivative of -1/10*c**6 - 3/20*c**5 + 0*c**2 + 0*c**4 + 0*c**3 + 0 + 4*c. Factor a(s).
-3*s**3*(s + 1)
Let b(a) be the third derivative of a**6/420 - a**5/42 + 18*a**2. Factor b(f).
2*f**2*(f - 5)/7
Let h(p) be the third derivative of 0*p - 5*p**2 + 1/80*p**5 - 1/32*p**4 + 0*p**3 + 0. Factor h(d).
3*d*(d - 1)/4
Let g(o) be the first derivative of 25*o**8/336 - 4*o**7/21 + o**6/24 + o**5/6 - 5*o**2/2 + 4. Let v(d) be the second derivative of g(d). Solve v(b) = 0 for b.
-2/5, 0, 1
Let x(i) be the second derivative of i**6/25 - 39*i**5/100 + 31*i**4/20 - 16*i**3/5 + 18*i**2/5 - 20*i + 1. Suppose x(c) = 0. Calculate c.
1, 3/2, 2
Factor -3*y**2 - 10*y - 8*y**3 - 99*y**4 - 2*y + 120*y**4 + 38*y**3.
3*y*(y + 1)**2*(7*y - 4)
Let i(l) = 3*l - 12. Let g be i(5). Suppose -18 = -3*j - 3*w, 2*j = g*j + 3*w - 12. Suppose 31 + 5*o**3 + 12*o**2 - 23 - j*o**3 + 10*o + 8*o = 0. Calculate o.
-4, -1
Let q = -5/278 + 571/834. Solve 4/3*u**2 + 0 - q*u**3 - 2/3*u = 0.
0, 1
Let p = -35623/11 - -3239. Let -2/11 + 2/11*y**3 - 6/11*y**2 + p*y = 0. Calculate y.
1
Let y(z) be the first derivative of z**6/6 - 2*z**5/5 - 2*z**4 + 6*z**3 - 9*z**2/2 - 38. Factor y(v).
v*(v - 3)*(v - 1)**2*(v + 3)
Let g be (-5)/(15/33) - -15. Let 3/4*q**g + 15/4*q**2 + 0 - 3/2*q - 3*q**3 = 0. Calculate q.
0, 1, 2
Let x = 493 + -490. Determine k so that -4/9*k + 2/9 + 0*k**2 - 2/9*k**4 + 4/9*k**x = 0.
-1, 1
Let q(l) be the first derivative of -2*l**5/5 + 2*l**3/3 - 65. What is o in q(o) = 0?
-1, 0, 1
Let m(k) be the third derivative of 2*k**7/315 - 2*k**6/45 + 4*k**5/45 + 59*k**2. Determine a, given that m(a) = 0.
0, 2
Let c(u) = -20*u**2 + 13*u - 48. Let z(j) = -7*j**2 + 4*j - 16. Let d(g) = -6*c(g) + 17*z(g). What is w in d(w) = 0?
2, 8
Let h(l) be the first derivative of 4 + 5/11*l**2 + 2/33*l**3 - 12/11*l. Determine j, given that h(j) = 0.
-6, 1
Factor -81/4*h**2 - 81/4 - 3*h**3 - 81/2*h.
-3*(h + 3)**2*(4*h + 3)/4
Let h be (-19)/(475/465) + 23. Let 6/5 - h*o**2 - 2*o - 6/5*o**3 = 0. What is o?
-3, -1, 1/3
Let j(q) be the third derivative of q**8/420 - 2*q**7/525 - q**6/30 - q**5/25 - 2*q**2 - 40*q. Determine d so that j(d) = 0.
-1, 0, 3
Suppose 9*u = 633 - 305 - 310. Solve 1/8*o**4 - 3/8*o**3 - 1/8*o + 0 + 3/8*o**u = 0.
0, 1
Let b(a) = -a**3 + 84*a**2 - 245*a + 162. Let v be b(81). Factor 0 - 1/5*c**4 + 0*c**3 + v*c**2 + 0*c + 1/5*c**5.
c**4*(c - 1)/5
Let c be ((-20)/(-15))/(1/6). Suppose -c*d + 6*d = -q - 6, 2*q = d - 3. Factor q*w**2 + 0*w + 3/5*w**5 + 9/5*w**4 + 0 + 6/5*w**3.
3*w**3*(w + 1)*(w + 2)/5
Factor -4*h**3 - 24 + 66*h - 86*h + 48*h.
-4*(h - 2)*(h - 1)*(h + 3)
Let k = 838/7 + -6697/56. Factor -k*j**4 + 1/8*j**2 + 1/8*j**3 + 0 - 1/8*j.
-j*(j - 1)**2*(j + 1)/8
Let d be -8 - (56/(-10) - -5 - (-519)/(-60)). Find c such that 0*c - d*c**3 + 0*c**2 + 5/4*c**5 + 0*c**4 + 0 = 0.
-1, 0, 1
Let z(w) = -4*w - 12. Let q be z(-4). Suppose -q*g = m + g + 15, -2*g = m + 3. What is s in -10*s**5 - 11*s**4 + 12*s**2 + 2*s**4 + 7*s**m = 0?
-2, 0, 1
Let s be (1/4)/((-7)/343). Let j = -43/4 - s. What is u in 0 - 3/8*u**3 - 3/2*u**2 - j*u = 0?
-2, 0
Let n = -5/23448 - -814873/257928. Let d = n + -32/11. Solve -3/4*b + 1/2 + d*b**3 + 0*b**2 = 0 for b.
-2, 1
Factor -1/4*k**4 - 5/4*k**3 + 0 + 11/2*k**2 - 4*k.
-k*(k - 2)*(k - 1)*(k + 8)/4
Let d(j) be the first derivative of -2*j**3/9 + 2*j**2 - 6*j - 48. Factor d(t).
-2*(t - 3)**2/3
Let r(l) be the third derivative of l**9/112 - l**8/35 + l**7/56 + l**6/60 - l**3/3 + 8*l**2. Let t(z) be the first derivative of r(z). Factor t(f).
3*f**2*(f - 1)**2*(9*f + 2)
Let a(f) = f**3 + 6*f**2 - 3*f + 2. Let x(r) = r**3 + 5*r**2 - 3*r + 2. Let q(y) = 5*a(y) - 6*x(y). Determine g so that q(g) = 0.
-2, 1
Factor -135/2*q**2 + 250 - 1/4*q**4 - 175*q - 29/4*q**3.
-(q - 1)*(q + 10)**3/4
Let o(j) be the first derivative of 1/2*j**4 + 16/9*j**3 + 11 + j**2 - 4/3*j. Factor o(b).
2*(b + 1)*(b + 2)*(3*b - 1)/3
Let g(q) be the first derivative of -4*q**3/3 + 120*q**2 - 3600*q + 596. Factor g(s).
-4*(s - 30)**2
Let j be ((17 - 2)*252/360)/((-66)/(-56)). Find r such that -2/11*r**2 - j - 28/11*r = 0.
-7
Let h(z) be the third derivative of -z**6/240 - z**5/60 + z