j**5 + 6/5*j**4 = 0. What is j?
-1, 0, 1
Suppose -3*t + 1 = -5. Suppose c**t + 0*c + 0*c - c - 2*c**2 = 0. Calculate c.
-1, 0
Let j(l) be the second derivative of -8*l - l**5 + 16/3*l**3 - 7/3*l**4 + 0 + 8*l**2. Factor j(n).
-4*(n - 1)*(n + 2)*(5*n + 2)
Let m(l) = l**2 + 2*l + 1. Let z be m(-3). Let w = z + -2. Factor -w*x**3 + 3*x**3 - x**2 + x - x**2.
x*(x - 1)**2
Let j be 14 + (-3 - -2) + 0. Suppose -4*w + 0*m + 21 = -3*m, -4*m + 4 = 0. Let -8 + 15*i**3 + w*i**2 + 0*i**2 - j*i**3 = 0. Calculate i.
-2, 1
Let y(c) be the third derivative of -c**6/180 - 2*c**5/75 + c**4/15 - c**3/6 + 3*c**2. Let k(l) be the first derivative of y(l). Suppose k(z) = 0. What is z?
-2, 2/5
Solve 0 + 2/7*o**4 - 10/7*o - 6/7*o**3 - 18/7*o**2 = 0 for o.
-1, 0, 5
Suppose 0 = a - 5*v + 11, -3*v + v = 2*a - 26. Factor -5*m - 14*m**2 - a*m**4 - 16*m**3 + 3*m**4 + m.
-2*m*(m + 1)**2*(3*m + 2)
Let h = 12 - 10. Let x(d) be the first derivative of 4/5*d - 1/5*d**2 + 1/10*d**4 + h - 4/15*d**3. Factor x(b).
2*(b - 2)*(b - 1)*(b + 1)/5
Let b be 4*1*(-4)/(2 - 38). Factor -10/3*p**2 - 2/3*p**4 + 22/9*p**3 - b + 2*p.
-2*(p - 1)**3*(3*p - 2)/9
Let t(u) be the third derivative of -u**7/2310 + u**6/440 - u**5/330 + 13*u**2. Factor t(h).
-h**2*(h - 2)*(h - 1)/11
Let l(u) be the third derivative of u**5/60 + u**4/12 + u**3/6 + 5*u**2. Let l(s) = 0. Calculate s.
-1
Let i(m) be the second derivative of -2*m**5/75 + m**3/15 - m**2/15 + 22*m. Factor i(u).
-2*(u + 1)*(2*u - 1)**2/15
Let l(p) be the third derivative of 0*p**4 - 1/40*p**6 + 0 - 7*p**2 + 0*p**3 - 1/20*p**5 + 0*p. Suppose l(x) = 0. What is x?
-1, 0
Let u(z) = 3*z + 4. Let r be u(0). Let f(l) be the first derivative of l**2 - 1 + 4/5*l - 1/10*l**r - 2/25*l**5 + 2/5*l**3. Suppose f(m) = 0. Calculate m.
-1, 2
Factor 4 - 6*c + 4*c**3 + 3*c**3 - 5*c**3.
2*(c - 1)**2*(c + 2)
Suppose 13*l = 11*l. Let q(a) be the third derivative of 1/300*a**6 + 1/15*a**4 + l*a**3 + 0*a + 0 - 2/75*a**5 - a**2. Let q(v) = 0. Calculate v.
0, 2
Find q, given that -2/7*q**4 - 34/7*q - 12/7 - 2*q**3 - 34/7*q**2 = 0.
-3, -2, -1
Let g(z) be the first derivative of z**6/12 + 2*z**5/5 + 3*z**4/4 + 2*z**3/3 + z**2/4 + 1. Suppose g(u) = 0. What is u?
-1, 0
Suppose 0 = k - 12 + 10. Let -4*j**2 + 0*j**2 - 3 - 2*j + 5*j**k = 0. Calculate j.
-1, 3
Let b(c) be the third derivative of -c**8/672 - c**7/420 + c**6/48 + c**5/120 - c**4/6 + c**3/3 + 40*c**2. Let b(d) = 0. Calculate d.
-2, 1
Let b(o) be the first derivative of -o**5/5 + o**4/2 + 2*o + 3. Let a(n) = 3*n**4 - 7*n**3 - 7. Let y(k) = -2*a(k) - 7*b(k). Suppose y(f) = 0. Calculate f.
0
Let d = 88 - 84. Let m(n) be the third derivative of 0*n**3 + d*n**2 + 0*n**4 + 0*n + 0*n**6 - 1/105*n**7 + 0 + 0*n**5. Find b such that m(b) = 0.
0
Suppose -4*v - 4*d - 20 = 0, -2*d + 7*d = -4*v - 20. Let m(w) = -w**2 + 7*w + 5. Let j(n) = -n**2 + 4*n + 3. Let u(k) = v*j(k) + 3*m(k). Factor u(t).
t*(2*t + 1)
Let o = 177371/5 + -35291. Let q = -182 + o. Determine b, given that -2/5*b**4 - 6/5*b**3 + 0 - q*b**2 - 2/5*b = 0.
-1, 0
Let w(i) = -i**4 - i**3 + i + 1. Let h(q) = -19*q**4 - 84*q**3 - 35*q**2 + 24*q - 6. Let p(a) = h(a) + 6*w(a). Factor p(r).
-5*r*(r + 1)*(r + 3)*(5*r - 2)
Let -3/5*s**2 + 0*s + 3/5 = 0. Calculate s.
-1, 1
Let s(l) be the third derivative of l**8/30240 + l**7/3780 + l**6/1080 - l**5/20 - 2*l**2. Let y(o) be the third derivative of s(o). Factor y(d).
2*(d + 1)**2/3
Let r(n) be the second derivative of -1/8*n**4 + 1/40*n**5 - 5/12*n**3 + 0 + 1/60*n**6 - 1/2*n**2 - 10*n. Factor r(i).
(i - 2)*(i + 1)**3/2
Let k be 0/((1 + 1)/(-1)). Factor 0*y**3 + 0*y**2 + k + 2/5*y**4 + 0*y + 2/5*y**5.
2*y**4*(y + 1)/5
Factor -3/2 - 1/4*m + 1/4*m**2.
(m - 3)*(m + 2)/4
Let k(u) be the third derivative of 3*u**2 + 0 - 1/20*u**6 + 1/8*u**4 + 1/70*u**7 + 1/112*u**8 + 1/2*u**3 - 1/10*u**5 + 0*u. Factor k(o).
3*(o - 1)**2*(o + 1)**3
Factor 1/8*v**2 + 1/8*v + 0.
v*(v + 1)/8
Let p(i) be the first derivative of 2*i**5/45 - i**4/3 - 10*i**3/9 - 8*i**2/9 - 54. Find q, given that p(q) = 0.
-1, 0, 8
Let z(v) be the first derivative of -v**4/4 + 2*v**3/3 + v**2 + v - 1. Let t be z(-1). Factor 0*w - 1/4*w**t + 1/4*w**3 + 0.
w**2*(w - 1)/4
Factor 3 + 3/2*i - 3/2*i**2.
-3*(i - 2)*(i + 1)/2
Let v(o) be the second derivative of -o**6/18 - 2*o**5/15 - o**4/36 + o**3/9 - 8*o. Factor v(c).
-c*(c + 1)**2*(5*c - 2)/3
Factor 49/5*p**5 + 196/5*p + 0 + 2013/5*p**3 + 1316/5*p**2 - 658/5*p**4.
p*(p - 7)**2*(7*p + 2)**2/5
Let s(a) = a**2 - 9*a + 10. Let l be s(9). Solve -l*r**5 - 21*r**3 + 4*r + 0*r + 3*r**3 - 2*r**2 + 26*r**4 = 0 for r.
-2/5, 0, 1
Let l(n) be the third derivative of 0*n**3 + 0*n + 1/60*n**5 - 1/24*n**4 + 0 + n**2. Factor l(i).
i*(i - 1)
Let p(w) be the first derivative of 3*w**4/4 - w**3 + 15*w**2/2 - 15*w - 2. Let x(o) = o**2 - 1. Let c(h) = p(h) - 9*x(h). Let c(u) = 0. What is u?
1, 2
Let x(n) be the third derivative of -n**8/26880 - n**4/12 - 3*n**2. Let m(i) be the second derivative of x(i). Factor m(w).
-w**3/4
Let r be (-6)/(-12) + (-4 - 114/(-12)). Factor 0*n - r*n**3 + 6*n**2 + 3/2*n**4 + 0.
3*n**2*(n - 2)**2/2
Let j = 2/155 + 3/248. Let c(b) be the third derivative of -j*b**5 + 0 + 0*b**3 - 1/240*b**6 + 0*b - 3*b**2 - 1/24*b**4. Determine h so that c(h) = 0.
-2, -1, 0
Let g(m) be the second derivative of -m**6/360 + m**4/72 - m**2 - m. Let s(j) be the first derivative of g(j). Suppose s(y) = 0. Calculate y.
-1, 0, 1
Let a be 0/(2 + (4 - 5)). Let g(p) be the third derivative of -1/60*p**5 + 1/6*p**3 + 0*p**4 + 0 + p**2 + a*p. Find i, given that g(i) = 0.
-1, 1
Suppose 4*t + 18 = 3*m, 3*t = 5*m - 4*m - 11. Let a(u) be the first derivative of 0*u + 8/21*u**3 + 1/7*u**m - 1. Solve a(p) = 0 for p.
-1/4, 0
Suppose 3*x - 2 = 2*x. Let -4*h**2 + x*h - h + 3*h**2 = 0. Calculate h.
0, 1
Let u(v) be the first derivative of v**6/11 + 28*v**5/55 + v**4/11 - 80*v**3/33 + 3*v**2/11 + 36*v/11 + 9. Find d such that u(d) = 0.
-3, -2/3, 1
Let w(y) be the first derivative of y**3 + 11*y - 2*y + 6*y**2 + 2 + 3*y. Factor w(r).
3*(r + 2)**2
Let h(g) be the third derivative of g**6/360 + g**5/120 - 2*g**3/3 + g**2. Let v(w) be the first derivative of h(w). Factor v(x).
x*(x + 1)
Let a(h) be the second derivative of 0*h**2 + 0 + 0*h**3 + 0*h**5 + 1/2520*h**7 + 0*h**6 + h + 1/4*h**4. Let l(j) be the third derivative of a(j). Factor l(c).
c**2
Suppose 3*t - 12 = 2*y, -5*y - 12 = 2*t - 1. Solve 4/9*l**t + 0 + 2/9*l + 2/9*l**3 = 0.
-1, 0
Let l = 32 - 18. Let q = l + -12. Solve 2*i**3 + 14/5*i - 18/5*i**q - 4/5 - 2/5*i**4 = 0 for i.
1, 2
Let r(a) be the third derivative of -a**8/2520 + a**7/315 - a**6/100 + 7*a**5/450 - a**4/90 + 4*a**2. Solve r(y) = 0 for y.
0, 1, 2
Let y(a) = -2*a**3 + 4*a**2 - 2*a. Let i(d) = -d**2. Let o(l) = l**3 - l**2 + l. Let q(k) = 3*i(k) + o(k). Let p(j) = -4*q(j) - 3*y(j). Factor p(v).
2*v*(v + 1)**2
Factor 46*g - 16 - 6*g + 3*g**2 + 13*g**3 - 23*g**3 + g**2.
-2*(g - 2)*(g + 2)*(5*g - 2)
Let j(a) be the second derivative of 55*a**4/12 + 65*a**3/6 + 5*a**2 + 5*a. Factor j(s).
5*(s + 1)*(11*s + 2)
Let r(d) = 4*d**2 - 1. Let o be r(3). Determine x, given that -35 - x**2 + 2*x + o = 0.
0, 2
Let y(c) be the first derivative of c**4 - 4*c**3 + 6*c**2 - 4*c + 3. Suppose y(o) = 0. Calculate o.
1
Let b be (-3 + -7)*(-2)/4. Suppose -b*a + 9 = -1. Determine q so that -2/7*q**3 + 2/7*q + 4/7*q**a - 4/7 = 0.
-1, 1, 2
Let v(y) be the third derivative of y**6/300 - y**5/75 + y**4/60 + 7*y**2. Let v(d) = 0. What is d?
0, 1
Let x(v) = -v**2 + v + 1. Suppose 0*z + 5 = -z - 2*a, 0 = -2*z - 2*a - 2. Let u(d) = -d**2 - d**2 + 5 + 6*d - z*d**2. Let h(f) = u(f) - 6*x(f). Factor h(t).
(t - 1)*(t + 1)
Let b(o) be the second derivative of -o - 1/18*o**4 - 1/18*o**3 - 1/60*o**5 + 0*o**2 + 0. Factor b(n).
-n*(n + 1)**2/3
Let w(l) = 3*l + 6 + l**2 - l**3 - 5 - 4*l + 2*l. Let j(h) = -7*h**3 + 9*h**2 + 4*h + 6. Let z(s) = j(s) - 6*w(s). Suppose z(o) = 0. What is o?
0, 1, 2
Let p = 10 - 7. Factor 8*x**2 + x**p - 2*x**3 + x + x**4 + 3*x + 6*x**3.
x*(x + 1)*(x + 2)**2
Factor -2/3*g**4 + 1/3*g**3 + 0*g**2 + 0*g + 1/3*g**5 + 0.
g**3*(g - 1)**2/3
Let q(a) be the third derivative of 23*a**5/6 + 14*a**4/3 + 4*a**3/3 + 12*a**2. What is w in q(w) = 0?
-2/5, -2/23
Let b(u) be the first derivative of -u**3/4 - 3*u**2/4 + 12. Factor b(w).
-3*w*(w + 2)/4
Let a(o) be the fi