+ 3)/6
Find i, given that -4*i**2 + 11*i**4 - 56*i - 15*i**4 - 90*i**5 - 20*i**4 + 134*i**3 + 16 = 0.
-1, 2/5, 2/3
Let x be 8*4/(-24)*3 - -8. Let i(a) be the first derivative of -3 + x*a**5 - 4*a + 3*a**2 - 21/2*a**4 + 20/3*a**3. Let i(q) = 0. Calculate q.
-2/5, 1/2, 1
Suppose -15 = -5*m - 0*r - 5*r, -5*m + 5*r = 15. Determine b so that 0 + m*b + 1/6*b**5 + 1/3*b**2 - 1/6*b**3 - 1/3*b**4 = 0.
-1, 0, 1, 2
Let m be 2/(-4)*(-16 + 16). Let 0*p + 0*p**2 + 2/5*p**3 + m = 0. What is p?
0
Let i = 2 - -1. Let q be ((-2)/i)/(7/(-21)). Factor -6*g**2 + 0*g**2 - 2*g - q*g**4 - 7*g**3 + g**3.
-2*g*(g + 1)**3
Suppose 2*y = 4*y - 12. Let q(d) be the first derivative of 8*d + 1 + 2*d**3 + y*d**2 + 1/4*d**4. Factor q(z).
(z + 2)**3
Solve 0*a**2 + 6/19*a - 2/19*a**3 + 4/19 = 0.
-1, 2
Let i = -8 - -12. Let n = -2 + i. Factor 2*w**3 + 0*w**4 + 5*w**2 + w**4 + 2*w**3 + n*w.
w*(w + 1)**2*(w + 2)
Let g(n) = 4*n**3 + 6*n**2 + 6*n - 2. Let y(z) = -7*z**3 - 11*z**2 - 11*z + 3. Let q(p) = 10*g(p) + 6*y(p). Determine b so that q(b) = 0.
-1
Suppose -p = z - 3*p + 8, 0 = -4*z + 2*p - 8. Suppose 9*o = 4*o + 10. Suppose z*d - d**3 + 4*d**2 + 2*d + o*d**2 - 5*d**2 = 0. What is d?
-1, 0, 2
Factor 2/11*m**2 + 0*m - 8/11.
2*(m - 2)*(m + 2)/11
Let y be 12/147*(-14)/(-4). Let 0*a**2 - 2/7*a + 0 + y*a**3 = 0. What is a?
-1, 0, 1
Suppose -6*l - l**2 + 1/2*l**4 - 4 + 3/2*l**3 = 0. Calculate l.
-2, -1, 2
Let i be (8/3)/(105/45)*1. Solve -8/7*n + i + 2/7*n**2 = 0.
2
Suppose -20 = -2*k + 3*k + 4*m, 4*m = -20. Factor 49/3*f**5 - 77/3*f**4 + k + 32/3*f**3 + 0*f - 4/3*f**2.
f**2*(f - 1)*(7*f - 2)**2/3
Suppose -2*d + 6 = 2. Let q be (d/5)/((-7)/(-5)). Factor -q*i**2 + 0*i - 6/7*i**4 - 2/7*i**5 + 0 - 6/7*i**3.
-2*i**2*(i + 1)**3/7
Let k(r) = -r**3 + 1. Let q(s) = 21*s**3 - 75*s**2 + 90*s - 36. Let j(p) = -k(p) - q(p). What is z in j(z) = 0?
1, 7/4
Let j(t) = -t**2 + 5*t - 1. Let o be j(4). Factor 2*x**2 + 2*x**o + 3*x - 6*x**2 + 0*x**2 - x.
2*x*(x - 1)**2
Factor -1/6*h**3 + 0 + 0*h + 1/3*h**2.
-h**2*(h - 2)/6
Let v(q) = 4*q**3 + 3*q**2 - q. Let w(x) = 7*x**3 + 5*x**2 - 2*x. Let u be -11 + (-3)/(-5 - -2). Let c(t) = u*v(t) + 6*w(t). Factor c(y).
2*y*(y - 1)*(y + 1)
Let i = -5430/7 - -777. Determine x so that -15/7*x - 6/7*x**2 - i = 0.
-3/2, -1
Suppose 3*x - 9 = 0, 4*b + x = -3*x + 12. Let d = b + 2. Factor 8/3*k**d + k**3 + 2/3 + 7/3*k.
(k + 1)**2*(3*k + 2)/3
Let q(m) be the second derivative of -m**6/90 + m**5/10 - m**4/3 + 4*m**3/9 - 3*m. What is s in q(s) = 0?
0, 2
Let k(v) = v**2 - 8*v + 10. Let u be k(7). Find a such that -a**2 - a**u + 16 + a + a**4 - 16 = 0.
-1, 0, 1
Let o(s) be the first derivative of -s**7/210 + s**6/120 + 3*s**2 + 2. Let q(p) be the second derivative of o(p). Find l, given that q(l) = 0.
0, 1
Let i = -1579/4 + 396. Factor 0 + 1/2*x - 1/2*x**3 - i*x**2 + 5/4*x**4.
x*(x - 1)*(x + 1)*(5*x - 2)/4
Let z(r) be the third derivative of -r**8/84 + r**6/15 - r**4/6 - 4*r**2. Factor z(s).
-4*s*(s - 1)**2*(s + 1)**2
Suppose 0 = -2*r - 4*w, 3*r = -r - 2*w + 6. Factor 16 - 8*h - 4*h**r - 16.
-4*h*(h + 2)
Suppose -6*i - 1 = -1. Suppose i*s + 0 - 3/5*s**3 - 3/5*s**2 = 0. Calculate s.
-1, 0
Factor 2/5*h**4 - 4/5*h - 2/5*h**2 + 0 + 4/5*h**3.
2*h*(h - 1)*(h + 1)*(h + 2)/5
Let x(f) be the first derivative of -f**6/120 - f**5/40 + f**4/4 + f**3/3 + 10. Let m(t) be the third derivative of x(t). Factor m(a).
-3*(a - 1)*(a + 2)
Let q(c) be the first derivative of 7*c**6/6 + 2*c**5/5 - 7*c**4/4 - 2*c**3/3 - 13. Factor q(u).
u**2*(u - 1)*(u + 1)*(7*u + 2)
Suppose n + 5 = 8. Factor 1 - 5*r - 3 - 2*r**n - r**3 - 4*r**2 + 2*r**3.
-(r + 1)**2*(r + 2)
Let z(x) = x + 4. Let m be z(-2). Suppose -d**4 - d + 2*d**3 - 7*d**3 + 2*d**4 - m*d + 7*d**2 = 0. Calculate d.
0, 1, 3
Let s be (-10)/(-4)*2/(-1). Let m(a) = -a**2 - 5*a + 2. Let p be m(s). Let -2*z**2 + 4*z**p + 2*z - 5*z**2 - z**5 + 3*z**4 - z**3 = 0. What is z?
-1, 0, 1, 2
Suppose 2*a + 20 - 1 = -3*o, -10 = -5*o + 5*a. Let n be (o*(-8)/(-9))/(-1). Solve -2*r**4 + 4/3*r + n*r**2 - 4/3*r**3 - 2/3 = 0 for r.
-1, 1/3, 1
Let a(q) be the first derivative of 3/2*q**4 - 4*q**2 - 8/3*q**3 + 2 - 1/3*q**6 + 4/5*q**5 + 0*q. Factor a(v).
-2*v*(v - 2)**2*(v + 1)**2
Let p = -548 + 2207/4. Factor -3/2 + 3/2*g**3 - 3/4*g**2 - p*g.
3*(g - 2)*(g + 1)*(2*g + 1)/4
Let k be 92/20 - 18/30. Let -10/7*r**k - 2/7*r**3 - 8/7*r**5 + 0*r**2 + 0*r + 0 = 0. What is r?
-1, -1/4, 0
Let b = 23 - 14. Suppose -4 = -2*d + 3*v + b, -6 = 2*v. Factor 6*c**5 + 6*c**d + 14*c**3 - 2*c**2 + 0*c**2 + 16*c**4.
2*c**2*(c + 1)**2*(3*c + 2)
Let i = -16199/36 - -450. Let t(a) be the second derivative of 1/18*a**3 + 0 - 1/3*a**2 + i*a**4 - 4*a. Factor t(q).
(q - 1)*(q + 2)/3
Let z(h) = -h**3 + 9*h**2 - h + 13. Let c be z(9). Determine k, given that -3/5 - 3*k - 6*k**2 - 3/5*k**5 - 3*k**c - 6*k**3 = 0.
-1
Let b(a) be the first derivative of 1/2*a**2 - 1/3*a**3 - 2 - 1/4*a**4 + a. Let b(f) = 0. What is f?
-1, 1
Solve 2/5*o**2 - 2/5*o**5 - 1/5*o**4 + 4/5*o**3 - 1/5 - 2/5*o = 0 for o.
-1, -1/2, 1
Let g(b) be the second derivative of -b**5/120 + b**4/16 - 2*b**2 - 2*b. Let r(t) be the first derivative of g(t). Solve r(p) = 0.
0, 3
Let q(g) = 5*g**2 - 6*g + 11. Let i(p) = 2*p**2 - 2*p + 4. Let d(u) = 11*i(u) - 4*q(u). Factor d(c).
2*c*(c + 1)
Let j(q) be the second derivative of q**7/16380 + q**6/4680 - q**5/390 - q**4/2 - 4*q. Let p(d) be the third derivative of j(d). Factor p(g).
2*(g - 1)*(g + 2)/13
Let b(k) be the first derivative of k**4/12 + 5*k**3/9 + 4*k**2/3 + 4*k/3 + 35. Determine z, given that b(z) = 0.
-2, -1
Let p be -4 - (10/35 - 6). What is i in -8/7*i**4 - 8/7*i**2 + 0 - 2/7*i**5 - 2/7*i - p*i**3 = 0?
-1, 0
Let c(w) be the first derivative of -w**6/9 + 22*w**5/45 - 7*w**4/9 + 4*w**3/9 + w**2/9 - 2*w/9 - 12. Determine y so that c(y) = 0.
-1/3, 1
Find t such that -8/5*t**2 + 4/5*t**3 + t - 1/5 = 0.
1/2, 1
Let f(l) be the third derivative of 0 + 0*l**5 + 0*l**3 - 1/240*l**6 + 0*l**4 + 0*l - l**2. Factor f(b).
-b**3/2
Let c(j) = j**2 - 14*j + 24. Let r be c(12). Let u(h) be the second derivative of 0 + r*h**2 + 3*h + 1/24*h**3 - 1/48*h**4. Suppose u(a) = 0. Calculate a.
0, 1
Let l = -9 - -9. Suppose -6*q**3 - 4*q**2 + l + 6*q**5 + 0 - 4*q**5 = 0. What is q?
-1, 0, 2
Let m(z) be the third derivative of z**6/30 + z**5/5 + z**4/2 + 2*z**3/3 - 4*z**2. Factor m(g).
4*(g + 1)**3
Let b(c) be the third derivative of -c**7/210 - 7*c**6/360 + c**4/18 + c**2 + 45*c. Factor b(v).
-v*(v + 1)*(v + 2)*(3*v - 2)/3
Let d = 14 - 10. Let x(b) be the second derivative of 0 - 3*b + 1/54*b**d + 1/90*b**5 + 0*b**2 + 0*b**3. Suppose x(i) = 0. Calculate i.
-1, 0
Suppose w = -i + 5*i - 71, -i = -w - 56. Let v = w + 155/3. Determine k so that v + 1/3*k**2 + k = 0.
-2, -1
Let w(s) be the second derivative of s**8/2240 + s**7/420 + 5*s**4/12 - 3*s. Let m(d) be the third derivative of w(d). Solve m(l) = 0 for l.
-2, 0
Let p(y) be the third derivative of 675*y**7/56 + 495*y**6/32 + 63*y**5/8 + 17*y**4/8 + y**3/3 + 18*y**2. Determine d, given that p(d) = 0.
-1/3, -2/15
Determine b, given that 4 - 4/3*b**2 - 8/3*b = 0.
-3, 1
Factor 5*q**4 + 0*q - 3*q + 15 - 7*q - 20*q**2 + 15*q**3 - 5*q**3.
5*(q - 1)**2*(q + 1)*(q + 3)
Suppose u = -5*q - 2*u + 7, -4*u = 4*q - 4. Let j(t) be the third derivative of -1/33*t**3 - 2*t**q + 1/66*t**4 + 0 + 0*t - 1/330*t**5. Solve j(f) = 0.
1
Let b(c) be the third derivative of -c**10/30240 - c**9/15120 + c**4/8 + 3*c**2. Let o(w) be the second derivative of b(w). Factor o(f).
-f**4*(f + 1)
Find j, given that 4/15*j**3 + 2/15*j**2 + 0 - 4/15*j - 2/15*j**4 = 0.
-1, 0, 1, 2
Let z(v) = -v**5 + v**4 - v**2 - v + 1. Let u(t) = -3*t**5 + 13*t**4 - 22*t**3 + 3*t**2 + 23*t - 15. Let k(n) = -u(n) + z(n). Determine r, given that k(r) = 0.
-1, 1, 2
Suppose -6/5*s**2 + 0*s + 0 = 0. What is s?
0
Factor -4/9*o**3 + 4/9*o + 8/9 - 8/9*o**2.
-4*(o - 1)*(o + 1)*(o + 2)/9
Let v(o) be the third derivative of -o**8/84 - 2*o**7/35 - o**6/15 + 2*o**2. Factor v(k).
-4*k**3*(k + 1)*(k + 2)
Let y = 14 + -8. Let n(w) be the second derivative of -1/6*w**3 - 3/20*w**5 + 0*w**2 + 1/4*w**4 - w + 1/30*w**y + 0. Factor n(f).
f*(f - 1)**3
Let x(r) be the second derivative of r**7/42 - 7*r**6/60 + r**5/10 + r**4/6 + 16*r. Suppose x(a) = 0. What is a?
-1/2, 0, 2
Let a(n) be the second derivative of -n + 1/20*n**6 - 3/40*n**