ulate o.
-1
What is p in 3/4*p**4 + 0 + 48*p**2 - 12*p**3 + 0*p = 0?
0, 8
Let i(b) be the first derivative of 2*b**3 - 5*b**2 - 4*b + 8. Determine r, given that i(r) = 0.
-1/3, 2
Let u be -1 + (77/7 - 8). Factor 0 + 4/3*o**2 - u*o + 2/3*o**3.
2*o*(o - 1)*(o + 3)/3
Factor -8*y - 28 + 192/7*y**2 + 4/7*y**4 + 8*y**3.
4*(y - 1)*(y + 1)*(y + 7)**2/7
Let j(z) = -5*z**2 + 14*z - 9. Let q(t) = -5*t**2 + 13*t - 8. Let p(k) = -3*j(k) + 4*q(k). Suppose p(x) = 0. Calculate x.
1
Let v(d) be the third derivative of d**6/180 - d**5/18 + 2*d**4/9 - 4*d**3/9 + 8*d**2. Find w such that v(w) = 0.
1, 2
Let d(j) be the first derivative of 15/8*j**2 - 8 + 3/2*j - 3/4*j**3. Factor d(i).
-3*(i - 2)*(3*i + 1)/4
Let u(k) = -3*k**4 - 6*k**3 + 7*k**2 + 6*k. Let i(o) = 6*o**4 + 12*o**3 - 13*o**2 - 12*o. Let y(m) = 4*i(m) + 7*u(m). Factor y(h).
3*h*(h - 1)*(h + 1)*(h + 2)
Let z(h) = h**2 + 9*h + 3. Let f be (-1 - 8) + 0/(-2). Let b be z(f). Let 0*r**3 - 3*r**4 + b*r**5 + 3*r**2 + 3*r**3 - 5*r**3 - r**3 = 0. Calculate r.
-1, 0, 1
Suppose -4*o = -7*o + 9. Let p be ((-12)/16)/((-3)/12). Let 4*j**5 - 2*j**3 + j**p - o*j**5 = 0. Calculate j.
-1, 0, 1
Let x(g) = 4*g**5 + g**4 + 5*g**3 - 5*g. Let r(p) = -2*p**5 - 2*p**3 + 2*p. Suppose 5*y = 37 - 12. Let z(k) = y*r(k) + 2*x(k). Factor z(t).
-2*t**4*(t - 1)
Suppose 4*z - 8*d + 3*d - 41 = 0, -21 = -2*z + 3*d. Let p be 33/z - (-2)/6. Factor -2*t + p - 6 + t**2 + 3.
(t - 1)**2
Let x(l) be the second derivative of -23/12*l**4 + 19/30*l**6 - 3/4*l**5 + 0*l**3 + 0 - 4*l + 5/14*l**7 + 2*l**2. What is f in x(f) = 0?
-1, -2/3, 2/5, 1
Let o(y) be the second derivative of -y**6/60 + y**5/8 - y**4/3 + y**3/3 - 2*y + 10. Factor o(b).
-b*(b - 2)**2*(b - 1)/2
Let b be 0/(7/2 - (-2)/(-4)). Factor -4/5*g - 18/5*g**3 + 22/5*g**2 + b.
-2*g*(g - 1)*(9*g - 2)/5
Let -200*n**2 + 401*n**2 + 2*n - 1 - 202*n**2 = 0. Calculate n.
1
Let v(i) = -i**3 + 2*i**2 + 1. Let l be v(2). Let c = 3 - l. Factor 0*u**4 + 2*u**4 + 5*u - c*u**2 - 5*u - 2*u**3 + 2*u**5.
2*u**2*(u - 1)*(u + 1)**2
Let w be (-5)/(-2) - (-4)/8. Suppose 0 = -3*x + w*z - 12, 5*z = -5*x + 4*x + 20. Let -2/5*y**4 + 0 + 2/5*y**2 + 0*y**3 + x*y = 0. What is y?
-1, 0, 1
Let b(s) be the third derivative of s**6/60 + 2*s**5/15 + 5*s**4/12 + 2*s**3/3 - 6*s**2. Factor b(k).
2*(k + 1)**2*(k + 2)
Let a(o) be the first derivative of o**3/6 + 3*o**2/4 + 19. Find d such that a(d) = 0.
-3, 0
Let g(c) be the third derivative of c**6/120 - 7*c**5/75 + 11*c**4/40 + 3*c**3/5 - 12*c**2. Factor g(n).
(n - 3)**2*(5*n + 2)/5
Let b(a) be the third derivative of 1/72*a**5 + 0*a + 1/6*a**3 + 3*a**2 - 1/360*a**6 - 1/36*a**4 + 0. Let x(f) be the first derivative of b(f). Factor x(r).
-(r - 1)*(3*r - 2)/3
Suppose -3*m + 2*x + 8 = 0, -2 + 25 = 3*m + x. Let s = -6 + m. Factor 0*f - 8/3*f**2 + 125/3*f**5 + s - 50*f**4 + 20*f**3.
f**2*(5*f - 2)**3/3
Suppose 4*h + l = 13, -5*l - 32 = -5*h - l. Let y(x) be the first derivative of x**2 - 1/2*x**h - 4*x + 4/3*x**3 - 2. Determine b so that y(b) = 0.
-1, 1, 2
Factor -20*d**4 + 3*d**2 - 3*d**3 - d - 5*d**2 + 19*d**4 - d**2.
-d*(d + 1)**3
Let l(k) = -k**2 + 2*k + 3. Let p(u) = u**3 + 7*u**2 + 5*u - 3. Let f be p(-6). Let z be l(f). Find h such that 1/3*h**2 + z*h + 0 = 0.
0
Let k(y) = -9*y**2 - 45*y. Let l(g) = 2*g**2 + 11*g. Let p(v) = -5*k(v) - 21*l(v). Solve p(h) = 0.
0, 2
Find c, given that -4*c + 1/2*c**2 + 8 = 0.
4
Let s be (-6 - -2) + 3 - (-9 + 6). Factor 8/9*w + 0 + 2/9*w**3 - 8/9*w**s.
2*w*(w - 2)**2/9
Let c(k) be the second derivative of k**6/10 + 3*k**5/20 - 5*k. Find m, given that c(m) = 0.
-1, 0
Let h(w) = w**2 - 7*w + 3. Let g be h(7). Let f(v) be the second derivative of -1/48*v**4 + 0*v**2 + 2*v + 0 + 1/12*v**g. Solve f(k) = 0.
0, 2
Let w(k) be the third derivative of -1/24*k**4 - 1/40*k**5 + 3*k**2 + 0*k**6 + 0*k**3 + 0 + 1/420*k**7 + 0*k. Factor w(z).
z*(z - 2)*(z + 1)**2/2
What is o in -27/7*o**3 - 3/7*o**5 - 15/7*o**4 - 6/7*o - 3*o**2 + 0 = 0?
-2, -1, 0
Let i(m) = 37*m**2 - m - 38*m**2 + 0*m. Let o(q) = q**2 - q**3 - q + q**3 - 2*q**3. Let b(d) = i(d) - o(d). Factor b(k).
2*k**2*(k - 1)
Let o(g) be the second derivative of 1/2*g**3 - 8*g - 1/4*g**4 + 0*g**2 + 0. What is d in o(d) = 0?
0, 1
Let a(s) = -15*s**3 - 3*s**2 + 69*s - 51. Let z(n) = -n**4 - n**3 + n + 1. Let r(o) = -a(o) - 3*z(o). Factor r(t).
3*(t - 1)**2*(t + 4)**2
Let w(f) be the first derivative of 2*f**3/3 + 5*f**2 + 8*f + 11. Suppose w(s) = 0. What is s?
-4, -1
Let x(n) be the second derivative of 0*n**6 + 0*n**3 + 1/105*n**7 + 0*n**4 + 0*n**2 + 8*n - 1/50*n**5 + 0. Factor x(d).
2*d**3*(d - 1)*(d + 1)/5
Suppose -5 + 3 = -2*a. Let w = 3 - a. Factor 1/4 - 11/4*u**w - 3*u**3 + 1/2*u.
-(u + 1)*(3*u - 1)*(4*u + 1)/4
Let n(i) be the second derivative of -i**4/36 - i**3/6 - i**2/3 - i. Solve n(r) = 0 for r.
-2, -1
Solve -4/3*x**3 + 2/3*x**2 + 0*x + 2/3*x**4 + 0 = 0 for x.
0, 1
Let c(p) be the third derivative of p**5/110 - p**4/44 + 27*p**2. Suppose c(r) = 0. Calculate r.
0, 1
Let q = 16 - 10. Let c(f) = -f**4 - f**3 + f**2. Let u(l) = -3*l**4 - 4*l**3 + l**2. Let v(i) = q*c(i) - 3*u(i). Factor v(s).
3*s**2*(s + 1)**2
Let a = 445/4 + -111. Let s(r) be the second derivative of 0 - 3/10*r**5 + 3/8*r**4 + a*r**3 + 0*r**2 - 3*r. Factor s(k).
-3*k*(k - 1)*(4*k + 1)/2
Determine m, given that 10/7*m**3 + 18/7*m**2 - 2*m**5 + 4/7*m + 0 - 18/7*m**4 = 0.
-1, -2/7, 0, 1
Let m(j) be the second derivative of j**7/210 + j**6/75 - j**5/25 - j**4/30 + j**3/10 - 34*j. Suppose m(y) = 0. What is y?
-3, -1, 0, 1
Let x(w) = w**4 + w**3 - w - 1. Let v(b) = 17*b + 2 - 12*b - 5*b**4 - b**5 - 4*b**3 + 3. Let r(n) = v(n) + 5*x(n). Solve r(m) = 0 for m.
-1, 0, 1
Find x such that 0*x**5 + 0*x**3 + x**2 - 4*x**4 + 3*x**2 - 4*x**5 + 4*x**3 = 0.
-1, 0, 1
Let i(x) be the second derivative of 0 + 0*x**2 - 1/42*x**7 - 2/5*x**5 + 0*x**3 - 1/6*x**6 - 4*x - 1/3*x**4. Factor i(c).
-c**2*(c + 1)*(c + 2)**2
Let p(x) = -x**3 + 4*x**2 + 6*x - 5. Let y be p(5). Suppose 8 + y = 4*v. Factor v*i**2 - 3 + 3 + 5*i - i.
2*i*(i + 2)
Find v, given that 2*v**4 + 24/7*v**3 - 4/7*v + 6/7*v**2 + 0 = 0.
-1, 0, 2/7
Let t(o) be the second derivative of -o**5/4 - 5*o**4/12 + 10*o**3/3 + 10*o**2 + 2*o. Factor t(d).
-5*(d - 2)*(d + 1)*(d + 2)
Let y be (10/(-6))/(2/6). Let a be (-2)/1 + 2 - y. Suppose 5 + 2*f**2 - a + 0 = 0. What is f?
0
Let k = 0 + 2. Factor -3*i**4 + 9*i**k - 11 + 11 - 6*i.
-3*i*(i - 1)**2*(i + 2)
Let n(t) be the first derivative of t**6/120 - t**5/10 + t**4/2 + 2*t**3 - 6. Let h(a) be the third derivative of n(a). Determine u so that h(u) = 0.
2
Factor 2/5*n**2 + 0 - 2/5*n**3 + 0*n.
-2*n**2*(n - 1)/5
Let g(k) be the first derivative of -1/7*k**4 - 1/21*k**3 + 6 + 3/35*k**5 + 1/7*k**2 + 0*k. Find h, given that g(h) = 0.
-2/3, 0, 1
Suppose -u + 15 = 13. Let g(t) be the second derivative of 0 + 1/30*t**6 + 0*t**3 + 0*t**5 - t + 0*t**u - 1/12*t**4. Let g(s) = 0. Calculate s.
-1, 0, 1
Let v(i) be the second derivative of 4*i**7/21 + 3*i**6/5 + i**5/5 - 4*i**4/3 - 2*i**3 - i**2 + 2*i. Let v(a) = 0. What is a?
-1, -1/4, 1
Factor 0*m - 3/7*m**4 - 15/7*m**3 + 0 - 18/7*m**2.
-3*m**2*(m + 2)*(m + 3)/7
Let z(a) be the third derivative of 0 + 0*a + 4/15*a**3 - a**2 + 1/30*a**5 - 1/300*a**6 - 2/15*a**4. Let z(j) = 0. Calculate j.
1, 2
What is x in 2/3*x + 2/9*x**2 + 4/9 = 0?
-2, -1
Let q(r) be the third derivative of 1/75*r**6 + 0*r**4 + 8*r**2 + 0*r**3 + 1/75*r**5 + 2/525*r**7 + 0 + 0*r. What is x in q(x) = 0?
-1, 0
Suppose 3*d - 3*s - 14 = 10, 0 = -5*d + 3*s + 30. Solve -c**2 + 4/3 + 0*c + 1/3*c**d = 0.
-1, 2
Let z be 6*(-3)/(2 - 8). Find u, given that 24*u**2 - 11 + 11 + 8*u - 14*u**z = 0.
-2/7, 0, 2
Factor -4*m**2 - 12 + 0*m**2 + 16*m + 0*m**2.
-4*(m - 3)*(m - 1)
Let h(p) = p - 8. Let c be h(12). Factor 0*y**3 - 2*y**c + 5*y**5 + 2*y**3 - 7*y**5 + 2*y**2.
-2*y**2*(y - 1)*(y + 1)**2
Let -4*k**3 + k**3 + 2*k**4 - 4*k + 7*k**3 - 2*k**2 = 0. Calculate k.
-2, -1, 0, 1
Let n(w) be the first derivative of -w**3/3 - 5*w**2 + 13*w - 2. Let r be n(-11). Factor -h + h + r*h**2 - h - 3*h**2.
-h*(h + 1)
Factor 5*s**3 - 5*s**4 + 18*s - 15*s + 5*s**2 - 8*s.
-5*s*(s - 1)**2*(s + 1)
Let q(z) be the third derivative of -1/105*z**7 + 1/15*z**5 + 0 + 0*z + 0*z**6 - 3*z**2 + 0*z**4 - 1/3*z**3. Solve q(d) = 0.
-1, 1
Let n(h) be the first derivative of 2*h**5/5 - 3*h**4/2 + 4*h*