 3*a**2 + d*a - 3*a - 45*a**3 = 0. What is a?
-1/4, 0, 1
Let j(r) = r**2 + 5*r. Let b(f) = 8*f**2 + 44*f. Let k(c) = -3*b(c) + 28*j(c). Factor k(w).
4*w*(w + 2)
Let w = 60215/154 + -4272/11. Let v = w + -15/7. Find b, given that 0 - v*b**2 - 1/2*b = 0.
-1, 0
Let r(k) = k**2 + 3*k - 8. Let f be r(-5). Factor 1/2*d**f + 0*d - 1/2.
(d - 1)*(d + 1)/2
Let a(l) = -9*l**2 - 49*l + 428. Let r(v) = -v**2 + v - 2. Let b(t) = 2*a(t) - 22*r(t). Solve b(j) = 0.
15
Let g(c) = -2*c**3 + c**2 + 2*c + 1. Suppose 0 = -5*n - 5*v - 25, -5*v - 16 = -4*n - 0*n. Let h be g(n). Factor -1 + z**2 + 0 - h*z - 2*z**2.
-(z + 1)**2
Let v(a) be the second derivative of -a**6/900 - a**5/100 - a**4/30 + a**3/2 - a. Let y(n) be the second derivative of v(n). Determine u, given that y(u) = 0.
-2, -1
Factor -12/7*w - 9/7*w**2 - 3/7.
-3*(w + 1)*(3*w + 1)/7
Suppose -2*n + 0*n + 4 = 0. Let t(b) be the second derivative of 0 - b + 0*b**n + 0*b**3 + 1/24*b**4. Solve t(j) = 0 for j.
0
Suppose -3*z - 3*y = 0, z - 5*y - 6 = 3*z. Factor -5*b**3 + 16*b**4 + 9*b**2 - 25*b**4 - z*b + b**5 + 6*b**5.
b*(b - 1)**2*(b + 1)*(7*b - 2)
Let o = -39 + 43. Let n(v) be the third derivative of -2*v**2 + 4/3*v**3 + 0*v + 1/30*v**5 + 0 - 1/3*v**o. Factor n(a).
2*(a - 2)**2
Suppose 0 - 9 = -3*j. Factor -j*k - k + 15*k**2 - 23*k**2.
-4*k*(2*k + 1)
Let p(u) be the third derivative of 10*u**2 + 0*u + 1/180*u**5 + 0*u**3 + 0 - 1/36*u**4. Determine m, given that p(m) = 0.
0, 2
Let d(k) be the first derivative of -35*k**4/4 - 20*k**3 - 15*k**2/2 + 10*k - 2. Factor d(u).
-5*(u + 1)**2*(7*u - 2)
Let i(g) be the first derivative of g**6/9 - 4*g**5/15 - g**4/3 + 16*g**3/9 - 7*g**2/3 + 4*g/3 - 4. Factor i(a).
2*(a - 1)**4*(a + 2)/3
Let c = -45 + 64. Suppose -h - 2*h + 4*n + c = 0, 3*n = 2*h - 13. Suppose -27/4*l**3 + 0 - 1/2*l - 7/4*l**h + 13/4*l**2 + 23/4*l**4 = 0. What is l?
0, 2/7, 1
Let t = 205 - 203. Let a(p) be the third derivative of -1/40*p**6 + 1/8*p**4 + 0 + 0*p + 1/20*p**5 + 0*p**3 - 1/70*p**7 + p**t. Factor a(f).
-3*f*(f - 1)*(f + 1)**2
Factor -2/13*p**5 + 0*p + 0 + 2/13*p**2 - 2/13*p**4 + 2/13*p**3.
-2*p**2*(p - 1)*(p + 1)**2/13
Let s = 5 + -3. Solve 1 - o**3 - 3 - 5*o - 4*o**s + 0*o**3 + 0*o**3 = 0.
-2, -1
Let l(g) be the second derivative of g**5/40 + 17*g. Factor l(n).
n**3/2
Let g(q) be the third derivative of q**5/540 + 5*q**4/216 + 2*q**3/27 + 34*q**2. Factor g(y).
(y + 1)*(y + 4)/9
Suppose -2*p + 3*y = -2*y + 43, -p - 34 = -5*y. Let l be (3/2)/(p/(-12)). Factor -2*q**4 - 4 - 2*q + l*q**3 + 2*q**2 + 4.
-2*q*(q - 1)**2*(q + 1)
Suppose 1 + 2 = i. Suppose 0*h + 3*h = -h. What is u in -1/2*u**i + 1/2*u**5 + 0*u + 0 + h*u**4 + 0*u**2 = 0?
-1, 0, 1
Let k = -1 - -3. Let v(r) = 3*r**5 - 3*r**4 - 17*r**3 - 13*r**2 - 2*r. Let o(i) = i**5 - 2*i**4 - 8*i**3 - 6*i**2 - i. Let g(x) = k*v(x) - 5*o(x). Factor g(j).
j*(j + 1)**4
Suppose 2*j + 0*d - 2 = 2*d, 0 = 2*j - 5*d + 10. Factor -j*c + 5*c**2 + 6*c - 4*c**2 - c**5 + 2*c**4 - 3*c**2.
-c*(c - 1)**3*(c + 1)
Suppose 4/13 - 2/13*w - 2/13*w**2 = 0. Calculate w.
-2, 1
Factor 0*k + 3/7*k**2 - 3/7.
3*(k - 1)*(k + 1)/7
Let v = 127/6 + -21. Let n(w) be the second derivative of -4/3*w**3 + w - v*w**4 - 4*w**2 + 0. Factor n(q).
-2*(q + 2)**2
Let q(w) be the third derivative of w**9/22680 + w**8/4032 + w**7/1890 + w**6/2160 + w**4/24 - w**2. Let t(s) be the second derivative of q(s). Solve t(k) = 0.
-1, -1/2, 0
Let a(o) be the first derivative of 2*o**3/21 + 3*o**2/7 + 4*o/7 - 3. Factor a(d).
2*(d + 1)*(d + 2)/7
Let -4/3 + 14/9*k + 2/3*k**2 = 0. Calculate k.
-3, 2/3
Let f be 5*(-54)/(-30) - 7. Solve -2*m - 1/2 - 2*m**3 - 1/2*m**4 - 3*m**f = 0.
-1
Suppose -t + 7 - 1 = 0. Suppose -2 + 17 = 5*q. Factor -t*g**2 + 3*g + q*g - 3*g.
-3*g*(2*g - 1)
Let g(m) be the third derivative of 0*m + 1/24*m**4 + 1/120*m**6 + 1/30*m**5 - 4*m**2 + 0 + 0*m**3. Determine z, given that g(z) = 0.
-1, 0
Let r(t) be the third derivative of t**7/525 + t**6/300 - 7*t**2. Factor r(h).
2*h**3*(h + 1)/5
Suppose 0 = 2*p + 45 - 55. Let k be (16/40)/(6/p). Solve 0 + k*u**2 + 2/3*u**3 + 1/3*u**4 + 0*u = 0.
-1, 0
Factor -2/3*z**3 - 1/3*z**5 + 0*z - z**4 + 0*z**2 + 0.
-z**3*(z + 1)*(z + 2)/3
Factor 4/9*w**2 + 2/9*w**5 - 2/9*w + 0 + 0*w**3 - 4/9*w**4.
2*w*(w - 1)**3*(w + 1)/9
Let s be (-45)/(-6)*(-6)/9. Let h = 7 + s. Factor 1/3*b**3 + 0 - 2/3*b**h + 1/3*b.
b*(b - 1)**2/3
Let r = 611/7 + -87. Factor -r*s**2 - 2/7*s**3 + 0 + 2/7*s + 2/7*s**4.
2*s*(s - 1)**2*(s + 1)/7
Let h(j) be the third derivative of j**6/96 + j**5/8 + 5*j**4/12 - 15*j**2. Factor h(w).
5*w*(w + 2)*(w + 4)/4
Suppose 0 = z + 3. Let l be z/(-5) - (-2)/(-5). Factor -l*g + 1/5*g**3 + 1/5*g**4 + 0 - 1/5*g**2.
g*(g - 1)*(g + 1)**2/5
Let o(j) = -j**5 - j**3. Let x(l) = -3*l**5 + 12*l**4 + 12*l**3 + 12*l**2 + 3*l. Let d(k) = 6*o(k) - x(k). Determine z so that d(z) = 0.
-1, 0
Factor 2/5 + 1/5*i - 1/5*i**2.
-(i - 2)*(i + 1)/5
Let m be 44/((-3)/((-39)/10)). Let f = m - 56. Factor 0*t + f*t**4 - 6/5*t**3 + 2/5*t**2 - 2/5*t**5 + 0.
-2*t**2*(t - 1)**3/5
Suppose 0 = 100*i - 99*i - 4. Determine l, given that 0 + 1/2*l**i - 1/2*l**2 + 1/2*l - 1/2*l**3 = 0.
-1, 0, 1
Let y be 7/((-210)/(-4))*5/12. Let f(x) be the first derivative of 3 - 2/27*x**3 + 2/9*x - 1/9*x**2 + y*x**4. Let f(u) = 0. What is u?
-1, 1
Let n(w) be the second derivative of w**7/84 + w**6/15 + 3*w**5/20 + w**4/6 + w**3/12 - w. Let n(j) = 0. Calculate j.
-1, 0
Suppose 2*l - 6*y = -2*y + 4, 5*l - 5 = 5*y. Let a(u) be the first derivative of l*u + 2/3*u**3 - 5/4*u**4 - 1 + 0*u**2. Factor a(q).
-q**2*(5*q - 2)
Let x(k) = k**3 - 3*k - 2. Let i be x(-1). Factor 0 - 1/4*a**4 - 1/2*a**2 + i*a + 3/4*a**3.
-a**2*(a - 2)*(a - 1)/4
Let w(i) be the third derivative of -i**5/45 - 5*i**4/18 + 21*i**2. Solve w(z) = 0 for z.
-5, 0
Let a(z) = -19*z**4 - 18*z**3 - 18*z**2 - 6*z + 13. Let k(w) = 9*w**4 + 9*w**3 + 9*w**2 + 3*w - 6. Let i(r) = -6*a(r) - 13*k(r). Solve i(l) = 0.
-1, 0
Let d(o) be the second derivative of -o**7/210 + 2*o**6/75 - o**5/20 + o**4/30 + o. Determine z so that d(z) = 0.
0, 1, 2
Suppose 0*p = -2*p - 12. Let h = p + 10. Factor 5*i**5 - 3*i - 4*i**2 + h*i**4 + i - 3*i**5.
2*i*(i - 1)*(i + 1)**3
Find u, given that -44*u**3 + 76*u + 49*u**4 + 94*u**4 - 23*u**4 - 157*u**2 - 32*u**5 - 12 + 49*u**2 = 0.
-1, 1/4, 1/2, 1, 3
Let l(q) be the second derivative of -q**9/9072 + q**8/2520 - q**6/540 + q**5/360 + 2*q**3/3 - 2*q. Let a(g) be the second derivative of l(g). Factor a(p).
-p*(p - 1)**3*(p + 1)/3
Let z(t) = t - 2. Let q be z(5). Solve 4*r**2 + 16*r**q - 48*r**3 + 9*r**2 + 3*r**2 - 2*r = 0.
0, 1/4
Let 96/7*k - 128/7 - 24/7*k**2 + 2/7*k**3 = 0. Calculate k.
4
Let h(u) be the second derivative of -u**7/14 + 2*u**6/15 + u**5/10 - u**4/3 + u**3/6 - 5*u. Suppose h(m) = 0. What is m?
-1, 0, 1/3, 1
Let g(f) be the first derivative of f**4/2 + 2*f**3/3 - 4*f**2 - 8*f - 41. Factor g(l).
2*(l - 2)*(l + 1)*(l + 2)
Let t(a) = 18*a**4 + 13*a**3 + 6*a**2 - 6*a. Let j(h) = 3*h**4 + 2*h**3 + h**2 - h. Let f = 16 - 10. Let w(g) = f*t(g) - 34*j(g). Find o, given that w(o) = 0.
-1, 0, 1/3
Suppose -4*k + 2*l + 0 = -2, -5*l - 5 = -4*k. Let g(q) be the second derivative of k - 1/18*q**4 + 2*q + 0*q**2 + 0*q**3. Factor g(v).
-2*v**2/3
Find w such that -12*w - 1/4*w**3 - 16 - 3*w**2 = 0.
-4
What is r in 117*r**2 - 114*r**2 + 12 - 5 + 11 - 21*r = 0?
1, 6
Let i(n) be the third derivative of -3*n**7/455 - 17*n**6/390 - 14*n**5/195 + 2*n**4/39 - 3*n**2. Factor i(a).
-2*a*(a + 2)**2*(9*a - 2)/13
Let p(c) be the second derivative of c**6/120 + c**5/40 - c**3/12 - c**2/8 - 3*c. Find h, given that p(h) = 0.
-1, 1
Let m(p) be the second derivative of p**6/120 - 9*p**5/80 + 5*p**4/16 + 25*p**3/24 - 23*p. Factor m(r).
r*(r - 5)**2*(r + 1)/4
Let q(x) be the first derivative of -x**4/6 + 2*x**3/3 - x**2 + 2*x/3 - 68. Solve q(a) = 0.
1
Suppose -3/2*m**3 + 0*m + 0 + 3*m**2 = 0. Calculate m.
0, 2
Let z(y) = -y**2 + 6*y + 12. Let o be z(7). Factor u**4 + 6 - o + 2*u**2 - 4*u**2.
(u - 1)**2*(u + 1)**2
Let m(l) be the first derivative of -2*l + 3 - 2/5*l**5 - l**2 - 1/3*l**6 + 4/3*l**3 + l**4. Factor m(u).
-2*(u - 1)**2*(u + 1)**3
Suppose -x = -5*h + x + 65, 2*h + 2*x - 40 = 0. Let j be (-4)/14 - h/(-28). Factor 1/4*y**5 - j*y**3 + 0*y + 0 + 1/4*y**2 - 1/4*y**4.
y**2*(y - 1)**2*(y + 1)/4
Let z be (-1 - -1)/(-4 - -2). Determine p so tha