*3 + 276*s**2 - 120*s - 9. Let l(g) = -2*p(g) + 9*r(g). Factor l(n).
3*n*(n + 5)*(5*n - 2)
Let n(j) be the second derivative of j**4/6 - j**2 - 6*j. Find p, given that n(p) = 0.
-1, 1
Let a(u) be the third derivative of u**6/30 + u**5/15 - u**4/3 - 24*u**2. Determine x so that a(x) = 0.
-2, 0, 1
Let y(a) be the first derivative of 3*a**4/8 - a**3 + 3*a**2/4 + 2. Factor y(v).
3*v*(v - 1)**2/2
Let y = -20 - -19. Let w be (1 + y/1)/(-3). Find u such that 1/2*u**3 - 1/2*u**5 + 1/2*u**4 + w + 0*u - 1/2*u**2 = 0.
-1, 0, 1
Let d = 7/10 + -1/5. Determine p, given that -d + 9/4*p - p**2 = 0.
1/4, 2
Let i(c) be the second derivative of c**6/120 - c**5/10 + c**4/2 + c**3/3 - 2*c. Let w(m) be the second derivative of i(m). Factor w(z).
3*(z - 2)**2
Let t(i) be the second derivative of i**8/13440 + i**7/1680 + i**6/480 + i**5/240 + 7*i**4/12 + 3*i. Let x(s) be the third derivative of t(s). Factor x(m).
(m + 1)**3/2
Factor -10 + 5*o + 5*o**3 - o**2 + 11*o**2 + 3*o - 13*o.
5*(o - 1)*(o + 1)*(o + 2)
Solve 4 - 10/3*r**2 - 2/3*r**4 - 10/3*r**3 + 10/3*r = 0.
-3, -2, -1, 1
Suppose -7*h + 5 = 5. Suppose h*n + 0*n**3 + 1/5 - 2/5*n**2 + 1/5*n**4 = 0. Calculate n.
-1, 1
Let v = 14 + -9. Suppose 0 = -i - 4*b - 12, 0 = -v*i - 2*b + 1 - 7. Factor 0*m**3 - 1/3*m**4 + i*m + 0 + 0*m**2.
-m**4/3
Let j(y) be the first derivative of 0*y - y**2 + 0*y**3 + 1/108*y**4 + 2 - 1/270*y**5. Let q(f) be the second derivative of j(f). Suppose q(d) = 0. What is d?
0, 1
Let o = 139 - 135. Factor -54*m - 1/2*m**o - 6*m**3 - 81/2 - 27*m**2.
-(m + 3)**4/2
Let v be 1/4 + (-10)/(-24). Let b = -52 + 54. Factor -v + 4/3*l - 2/3*l**b.
-2*(l - 1)**2/3
Let k(d) = d**2 + d. Let z(q) = -3*q**3 - 15*q**2 - 18*q. Let v(c) = 18*k(c) + z(c). Factor v(a).
-3*a**2*(a - 1)
Factor -12/7 + 10/7*a - 2/7*a**2.
-2*(a - 3)*(a - 2)/7
Suppose -8*q = -10*q + 6. Let -2*x**3 - 5*x**3 + 4*x**4 + x**3 - 2*x**q = 0. What is x?
0, 2
Factor 3 - 4*j + 7*j**2 + 4*j**3 + 1 - 2*j**2 - 9*j**2.
4*(j - 1)**2*(j + 1)
Let j be (4/15)/((-22)/55)*-3. Let 0 + 1/2*y**j - 3/2*y = 0. What is y?
0, 3
Let n(w) be the second derivative of -w**4/6 - w**3/3 + 12*w. Factor n(x).
-2*x*(x + 1)
Let y(x) = x + 7. Let l be y(-4). Let d(b) be the second derivative of -2*b + 1/18*b**4 - 1/60*b**5 + 0*b**2 + 0 - 1/18*b**l. Suppose d(k) = 0. Calculate k.
0, 1
Let w(b) be the third derivative of b**6/200 - b**5/50 - b**4/5 + 27*b**2 + 1. Let w(r) = 0. Calculate r.
-2, 0, 4
Let d(v) be the third derivative of -1/525*v**7 - 1/50*v**5 - 1/60*v**4 + 0 + 0*v - 1/100*v**6 + 8*v**2 + 0*v**3. Suppose d(g) = 0. Calculate g.
-1, 0
Let v = -36 + 39. Solve 2/5*o**2 - 2/5*o**v + 0*o + 0 = 0.
0, 1
Find w, given that -4/5*w**2 - 4/5 - 8/5*w = 0.
-1
Suppose 6*o + 4*o**2 - 18*o**3 + 2*o - 4*o**4 + 10*o**3 = 0. Calculate o.
-2, -1, 0, 1
Let g(s) be the second derivative of s**5/5 + 2*s**4/3 - 2*s**3/3 - 4*s**2 - 36*s. Factor g(o).
4*(o - 1)*(o + 1)*(o + 2)
Let i(v) = 8*v**2 - 10*v + 6. Let g(f) = -1. Let o(a) = 4*g(a) + i(a). Determine s, given that o(s) = 0.
1/4, 1
Find a, given that -2/3*a**2 - 2/3*a + 4/3 = 0.
-2, 1
Let r(b) = 9*b**2 - 11*b. Let x(m) = 4*m**2 - 5*m. Suppose 2*o - 14 = 6*o + 2*l, 0 = 4*o - 4*l + 8. Let p(s) = o*r(s) + 7*x(s). Factor p(z).
z*(z - 2)
Find m, given that 2/3*m**5 - 4/3*m**2 - 2/3*m**3 + 4/3*m**4 + 0*m + 0 = 0.
-2, -1, 0, 1
Let q(t) be the second derivative of t**7/231 + t**6/33 + 9*t**5/110 + 7*t**4/66 + 2*t**3/33 + 48*t. Let q(w) = 0. Calculate w.
-2, -1, 0
Let j = -2132/5 + 430. Let g be (-9)/(-5) - 1 - 0. Factor j*w**3 - 14/5*w**4 - g*w**2 + 0 + 0*w.
-2*w**2*(w - 1)*(7*w - 2)/5
Let p be 1/(64/10 - 6/(-60)). Solve -4/13*t + 6/13 - p*t**2 = 0 for t.
-3, 1
Let n(x) be the first derivative of -x**6/12 - x**5/10 + x**4/8 + x**3/6 - 17. Determine s so that n(s) = 0.
-1, 0, 1
Let c(b) be the first derivative of b**4/18 - 4*b**3/27 + b**2/9 - 5. Suppose c(q) = 0. What is q?
0, 1
Let p(b) be the second derivative of b**5/20 - 2*b**4/3 - 5*b**3/3 + 13*b**2/2 + 2*b. Let k be p(9). Factor -u**2 - u - u - k + 3*u**2.
2*(u - 2)*(u + 1)
Let y be (-6)/5*30/(-9). Suppose 5*g - 2*r = -17 + 47, 3*g - 2*r - 22 = 0. Factor o**4 - 2*o**3 + 5*o**4 - g*o**y.
2*o**3*(o - 1)
Let w(g) be the first derivative of -3*g**6/40 - g**5/10 - g**4/18 - 2*g**3/3 - 1. Let x(h) be the third derivative of w(h). Factor x(b).
-(9*b + 2)**2/3
Let z be ((-54)/10 - -5)/((-1)/10). Let u = 125/3 - 41. Solve 0 + 0*r - u*r**5 + 2/3*r**2 - 2*r**3 + 2*r**z = 0 for r.
0, 1
Let a(m) be the third derivative of -m**7/420 + m**5/40 + m**4/24 - 13*m**2. Suppose a(s) = 0. What is s?
-1, 0, 2
Let q be 6*(2 - 6/4). Let i(k) = -5*k**2 - 2*k + 3. Let o(j) = 26*j**2 + 10*j - 16. Let g(t) = q*o(t) + 16*i(t). Determine v so that g(v) = 0.
-1, 0
Let z(m) be the first derivative of -m**5/90 + m**4/6 - m**3 - m**2 - 4. Let j(o) be the second derivative of z(o). Suppose j(b) = 0. Calculate b.
3
Let o(p) = -3*p**3 - 3*p**2 + 5. Let y(q) = 2*q**3 + 2*q**2 - 3. Let i(z) = 6*o(z) + 10*y(z). Factor i(a).
2*a**2*(a + 1)
Let t(d) = 8*d**2 + 6*d + 2. Let x = -3 + 7. Let a(c) = 16*c**2 + 12*c + 5. Suppose 54 = 4*z - 10*z. Let g(k) = x*a(k) + z*t(k). Factor g(j).
-2*(j + 1)*(4*j - 1)
Let t be ((-130)/(-65))/(2*2/6). Factor 2/5*l**5 - 2/5*l + 0*l**t - 4/5*l**4 + 4/5*l**2 + 0.
2*l*(l - 1)**3*(l + 1)/5
Let i(o) be the first derivative of o**8/10920 + o**7/1820 + o**6/780 + o**5/780 + 2*o**3 - 7. Let t(r) be the third derivative of i(r). Factor t(f).
2*f*(f + 1)**3/13
Let d be (-4)/3 - (-154)/84. Solve 0 + d*q**2 - q = 0.
0, 2
Suppose -n = 2*c - 2, -4*c = 2*n - 3*n - 10. Let i(h) be the second derivative of -3*h - 1/12*h**3 - 1/48*h**4 + 0 + 0*h**c. Let i(v) = 0. What is v?
-2, 0
Solve -128/5 + 32/5*t - 2/5*t**2 = 0 for t.
8
Factor -9/2*p**2 + 0*p + 0 + 15/4*p**3 - 3/4*p**4.
-3*p**2*(p - 3)*(p - 2)/4
Let g(z) = z**2 + z - 27. Let q be g(-6). Factor 0 - 1/3*v**q - 1/3*v**4 + 0*v**2 + 0*v.
-v**3*(v + 1)/3
Let u(q) be the third derivative of -q**6/60 - q**5/6 - q**4/4 + 3*q**3 + 6*q**2. Let u(m) = 0. Calculate m.
-3, 1
Let y be 1*3*(5 - 4). Solve 2 - 3*t**2 - 2 + 3*t**y = 0 for t.
0, 1
Let r = 15 - 6. Let u = 14 - r. Suppose 0 - 1/2*c**4 - c + 4*c**2 + 5/4*c**u - 15/4*c**3 = 0. Calculate c.
-2, 0, 2/5, 1
Suppose 2*b**5 + 4*b**3 + 0*b**3 - 6*b**3 - 2*b**4 + 2*b**2 = 0. What is b?
-1, 0, 1
Suppose 3*h = -4*q, 11*h - 6*h = q. Factor 0 - 3/5*p**5 - 3/5*p + 6/5*p**3 + 0*p**4 + q*p**2.
-3*p*(p - 1)**2*(p + 1)**2/5
Factor -9/4 + 9/4*w**2 - 3/4*w**3 + 3/4*w.
-3*(w - 3)*(w - 1)*(w + 1)/4
Factor 6/5*l**2 - 4/5*l + 4/5*l**3 - 1 - 1/5*l**4.
-(l - 5)*(l - 1)*(l + 1)**2/5
Suppose 0 = 3*n + 12, 0*g - 3*g = -2*n - 8. Let h(i) be the third derivative of 0*i**5 - 2*i**2 - 1/480*i**6 - 1/12*i**3 + 1/32*i**4 + g + 0*i. Factor h(v).
-(v - 1)**2*(v + 2)/4
Suppose 970 = 7*j - 12*j. Let d = j + 1360/7. Factor -d*h + 0 - 8/7*h**2.
-2*h*(4*h + 1)/7
Suppose 3*o = -o + 48. Suppose -4*r - o = -7*r. Determine y, given that -2/5*y**2 - 2/5*y**3 + 2/5*y + 2/5*y**r + 0 = 0.
-1, 0, 1
Factor 2/13*s**4 - 10/13*s**2 - 6/13*s + 0 - 2/13*s**3.
2*s*(s - 3)*(s + 1)**2/13
Let a = 79691/177140 + -3/521. Let u = -3/68 + a. Factor -u*w**2 + 1/5 + 2/5*w**3 + 1/5*w**4 - 1/5*w - 1/5*w**5.
-(w - 1)**3*(w + 1)**2/5
Factor -b + b**2 + 21*b - 5*b**2 - 24.
-4*(b - 3)*(b - 2)
Let h be (-30)/4*(-6)/9. Let u = -3 + h. Factor u + 0*k + 3*k + 2*k**3 - 5*k - 2*k**2.
2*(k - 1)**2*(k + 1)
Suppose 2*n = -4*z + 12 - 4, -2*z - 2*n = -4. Let m be z*1/(-3)*-3. Factor 3/5*v**m + 9/5*v + 6/5.
3*(v + 1)*(v + 2)/5
Suppose 0 = -3*w + 5*y - 14, y + 13 = -3*w + 5*y. Let z = w + 4. What is s in 2 - 3*s**2 - 9*s**3 - 3*s**4 + 5 - z + 9*s = 0?
-2, -1, 1
Let o(p) be the first derivative of 2 - 2*p**2 + p**4 + 2*p + 0*p**3 - 2/5*p**5. Determine l, given that o(l) = 0.
-1, 1
Factor -15*p**5 + 4*p**2 - 8*p**2 - 4*p**4 + 4*p**3 + 11*p**5 + 8*p**4.
-4*p**2*(p - 1)**2*(p + 1)
Suppose 6/11*a - 2/11*a**3 + 0 - 4/11*a**2 = 0. What is a?
-3, 0, 1
Suppose 1/4*a**3 + 3/4*a**2 - 1/4*a - 1/2 - 1/4*a**4 = 0. What is a?
-1, 1, 2
Find h such that -15/7*h**3 - 9/7 + 15/7*h + 9/7*h**2 = 0.
-1, 3/5, 1
Determine w so that -1/3*w + 1/6*w**2 + 0 = 0.
0, 2
Let v = -5 - -5. Let i(a) be the first derivative of v*a + 1/5*a**2 - 2/25*a**5 + 2/15*a**3 + 2 - 1/10*a**4. Suppose i(u) = 0. What is u?
-1, 0, 1
Factor 5/4*l*