s x?
-1/2, 1
Let m = 280/3 + -93. Factor t**2 + t + 1/3 + m*t**3.
(t + 1)**3/3
Let p(q) be the first derivative of 2*q**5/95 - q**4/19 - 2*q**3/19 + 4*q**2/19 + 8*q/19 + 8. Solve p(t) = 0 for t.
-1, 2
Factor -4/5*j**3 - 3/5*j**2 - 2/5 + 9/5*j.
-(j - 1)*(j + 2)*(4*j - 1)/5
Let z(w) = -5*w**4 - 9*w**3 + 18*w**2 - 10*w. Let h(u) = 11*u**4 + 19*u**3 - 36*u**2 + 20*u. Let m(a) = 3*h(a) + 7*z(a). Factor m(p).
-2*p*(p - 1)**2*(p + 5)
Determine z so that -3/2*z**3 + 0 + 3/2*z**4 - 3/2*z**2 + 3/2*z = 0.
-1, 0, 1
Let t(m) = m + 16. Let u be t(-7). Suppose u = 5*a - 11. Factor n**4 - 3*n**4 - 4*n**3 + a*n + 0*n**4 + 2.
-2*(n - 1)*(n + 1)**3
Determine d so that -6*d**3 + 44*d**2 - 38*d**2 + 2*d**4 + d**4 + 15*d**3 = 0.
-2, -1, 0
Let i be 54/36*(1 - (-2)/6). Let b(a) be the third derivative of 1/120*a**5 + 0*a**6 + 0*a**3 - 1/420*a**7 + 0 + 0*a + a**i + 0*a**4. Factor b(g).
-g**2*(g - 1)*(g + 1)/2
Let m(p) = -p**2 - 6*p + 4. Let q be m(-6). Suppose -8/7*r**3 + 2/7 - 8/7*r + 2/7*r**q + 12/7*r**2 = 0. Calculate r.
1
Let y(c) = 3*c**2 + 6*c + 1. Let o(i) = -i**2 - 2*i - 1. Let w(n) = -5*o(n) - 2*y(n). Find j such that w(j) = 0.
-3, 1
Let n(u) = u + 14. Let l be n(-11). Let r be 4/(-12) + 16/l. Factor 2/7*o**3 + 0 + 4/7*o**4 + 0*o**2 + 2/7*o**r + 0*o.
2*o**3*(o + 1)**2/7
Factor 30 + 12*w**3 + 8*w**2 - 30 + 4*w**4.
4*w**2*(w + 1)*(w + 2)
Let z(l) = -2*l**2 + 4*l - 2. Let t be 6/(-5)*(-10)/(-3)*1. Let p(v) = -v + 1. Let s = 2 - 3. Let i(j) = s*z(j) + t*p(j). Determine d so that i(d) = 0.
-1, 1
Let j(f) be the second derivative of -f**6/6 + 2*f**5 - 85*f**4/12 + 25*f**3/3 + 6*f. What is c in j(c) = 0?
0, 1, 2, 5
Solve -10*j**2 + 24*j + j**3 - 5*j**2 + j**3 + 3*j**2 - 16 = 0 for j.
2
Let h(i) = -i + 18. Let f be h(15). Let q(c) be the first derivative of 2/15*c**5 + 16/9*c**f + 3 - 5/6*c**4 + 0*c - 4/3*c**2. Solve q(m) = 0 for m.
0, 1, 2
Let o(h) be the third derivative of h**7/2520 + h**6/540 + h**5/360 - h**4/24 - 4*h**2. Let f(r) be the second derivative of o(r). Factor f(n).
(n + 1)*(3*n + 1)/3
Let n = -17/21 + 313/231. Find q such that -10/11*q**2 + 2/11*q + 0 + n*q**3 + 18/11*q**4 = 0.
-1, 0, 1/3
Let r(c) = 5*c**2 - 14*c. Let t(u) = -26*u**2 + 71*u. Let i(m) = 11*r(m) + 2*t(m). Determine q so that i(q) = 0.
0, 4
Let f = 11 + -11. Let y(r) be the first derivative of -1/6*r**2 + 3 - 1/15*r**5 - 1/3*r**3 - 1/4*r**4 + f*r. Factor y(i).
-i*(i + 1)**3/3
Let i(p) be the first derivative of -3*p**4/28 - p**3/7 + 39. Let i(d) = 0. Calculate d.
-1, 0
Let z be 0/2 - (9 - 13). Solve 4/9*k**2 - 10/9*k**z + 0 - 2/3*k**3 + 0*k = 0 for k.
-1, 0, 2/5
Let f = 34 + -30. Let x(p) be the third derivative of -1/40*p**6 + 0 + 0*p + 1/20*p**5 - 1/70*p**7 + 0*p**3 + 1/8*p**f + 4*p**2. Factor x(h).
-3*h*(h - 1)*(h + 1)**2
Let r(v) be the second derivative of -v**5/5 - 5*v**4 - 50*v**3 - 250*v**2 + 7*v. Factor r(l).
-4*(l + 5)**3
Let x(q) be the third derivative of -q**6/72 - q**5/12 - 5*q**4/24 - 5*q**3/18 - 10*q**2. What is v in x(v) = 0?
-1
Let s(k) = -k**2 + 11*k - 19. Let y(i) = 3*i**2 - 32*i + 56. Let q(h) = 8*s(h) + 3*y(h). Find x, given that q(x) = 0.
4
Let h(c) be the third derivative of c**8/112 - c**7/14 + c**6/4 - c**5/2 + 5*c**4/8 - c**3/2 + 10*c**2. Factor h(q).
3*(q - 1)**5
Let b = 27 + -23. Let m(h) be the first derivative of 2/3*h**2 - 2/5*h**5 - 2/3*h**b + 2/9*h**3 - 1 + 0*h. Determine c so that m(c) = 0.
-1, 0, 2/3
Factor 1/3*v**2 + 5*v + 0.
v*(v + 15)/3
Let c(n) = -5*n**2 - 3*n + 9. Let z = 1 - 7. Let j(r) = -2*r**2 - r + 3. Let l(x) = z*c(x) + 21*j(x). Factor l(b).
-3*(b + 1)*(4*b - 3)
Let t(h) = 98*h**4 + 247*h**3 - 174*h**2 - 147*h - 24. Let n(u) = u**3 - u. Let v(z) = 5*n(z) + t(z). Suppose v(q) = 0. Calculate q.
-3, -2/7, 1
Let d = 599618/7 + -85481. Let w = 179 - d. Find a, given that -2/7*a**4 - w + 0*a + 0*a**3 + 4/7*a**2 = 0.
-1, 1
Let z = 65/306 + 1/102. Let z*t + 2/9*t**3 - 4/9*t**2 + 0 = 0. Calculate t.
0, 1
Let s be 1398/(-2520) - 4/(-7). Let u(q) be the third derivative of 1/18*q**3 + 0*q - 2*q**2 + s*q**5 + 1/24*q**4 + 0 + 1/360*q**6. Factor u(b).
(b + 1)**3/3
Let n(b) = -2*b**5 - 6*b**4 + 2*b**3 + 6*b**2. Let r(w) = w**5 + w**4 - w**3 - w**2. Let j(o) = n(o) + 6*r(o). Suppose j(i) = 0. What is i?
-1, 0, 1
Suppose 2*g - 5 - 1 = 0. Let p be g/9 - (-5)/3. Solve 3*r**3 - 20*r**p - 12*r**2 - 17*r**3 - 22*r - 4 = 0 for r.
-1, -2/7
Let k(c) be the third derivative of -1/120*c**5 + 0*c - 1/96*c**4 + 0*c**3 + 0 + c**2. Factor k(s).
-s*(2*s + 1)/4
Let t be 1/(4/(-36)*-3). Let q(l) be the third derivative of -1/12*l**4 + 2*l**2 - 1/60*l**5 + 0 - 1/6*l**t + 0*l. Factor q(v).
-(v + 1)**2
Let w(a) be the second derivative of 4*a**6/15 - a**5 + 2*a**4/3 + a. Factor w(n).
4*n**2*(n - 2)*(2*n - 1)
Let w(u) be the first derivative of -u**6/360 + u**4/24 - u**3 - 1. Let k(o) be the third derivative of w(o). Solve k(s) = 0 for s.
-1, 1
Factor 9*s**2 + 3*s**2 + 8*s + 4 + 0 - 8*s**2.
4*(s + 1)**2
Let f = 16 - 16. Let u(z) be the third derivative of -1/5*z**5 + f + 3/40*z**6 + 1/3*z**3 + 1/24*z**4 + 0*z + 2*z**2. Factor u(k).
(k - 1)*(3*k - 2)*(3*k + 1)
Let u(f) be the second derivative of 3*f**3 + 27/2*f**2 + 0 + 6*f + 1/4*f**4. Let u(a) = 0. What is a?
-3
Let g be (-6 - 20/(-9)) + 4. Suppose 2/9 - 4/9*k**3 - g*k**2 + 4/9*k = 0. What is k?
-1, -1/2, 1
Let l(s) be the second derivative of s**5/70 + s**4/42 - s**3/21 - s**2/7 - 13*s. Factor l(j).
2*(j - 1)*(j + 1)**2/7
Let z(l) be the second derivative of 2*l**6/105 - l**5/35 - 2*l**4/21 + 10*l. Factor z(d).
4*d**2*(d - 2)*(d + 1)/7
Let p(i) = 2*i + 3. Let u be p(3). Suppose -u*m + 12 = -5*m. Factor 2/3*y**5 + 0*y + 0 - 2*y**4 + 4/3*y**m + 0*y**2.
2*y**3*(y - 2)*(y - 1)/3
Suppose 500/3 - 100/3*x + 5/3*x**2 = 0. Calculate x.
10
Let u(v) be the second derivative of -v**7/35 - 7*v**6/75 - v**5/10 - v**4/30 + 19*v. Factor u(s).
-2*s**2*(s + 1)**2*(3*s + 1)/5
Factor 0*w + 0*w**2 + 0 - 1/2*w**4 - 1/4*w**5 - 1/4*w**3.
-w**3*(w + 1)**2/4
Let v be (-2)/(-8) - 14/(-8). Suppose 0 + 4 = v*m. Let 2 + 3*u + 4*u**2 - 3*u**2 + 0*u**m = 0. Calculate u.
-2, -1
Let g = -1192/5 - -240. Let v(i) be the first derivative of -8/3*i**3 + 0*i - 3 - 3*i**4 - 1/3*i**6 - g*i**5 - i**2. Determine y so that v(y) = 0.
-1, 0
Let r(z) be the third derivative of z**5/15 - z**4/4 - 2*z**3/3 - 9*z**2. Factor r(n).
2*(n - 2)*(2*n + 1)
Factor 45*u**4 - 185*u**3 + 300*u**2 - 180*u - 4*u**4 - 5*u**5 + 9*u**4.
-5*u*(u - 3)**2*(u - 2)**2
Let z(c) = 3*c**2 + 3*c**3 + 2*c - 2*c**3 - c. Let b be z(-2). Factor -p**3 - p + 3*p + b*p**5 - 3*p**3.
2*p*(p - 1)**2*(p + 1)**2
Factor 2/3*v**4 + 0 + 1/3*v**5 - 2/3*v**2 + 0*v - 1/3*v**3.
v**2*(v - 1)*(v + 1)*(v + 2)/3
Factor -k**2 + 4*k**5 - 3*k**5 + 89*k**3 + k**4 - 90*k**3.
k**2*(k - 1)*(k + 1)**2
Let o be ((-2)/4)/(9/(-48)). Let r(c) be the first derivative of -o*c**3 + 0*c + 0*c**2 - 6/5*c**5 + 3*c**4 + 2 + 1/6*c**6. Find j such that r(j) = 0.
0, 2
Let z be 1*(-3)/(3/(-4)). Determine n so that 5*n**2 - 2*n**2 - 3*n**3 - n**4 + n + 2*n - 2*n**z = 0.
-1, 0, 1
Let q(x) = 5*x**5 + 8*x**4 - 16*x**3 - 2*x**2 + 7*x - 6. Let d(i) = -4*i**5 - 7*i**4 + 15*i**3 + i**2 - 8*i + 6. Let k(a) = -4*d(a) - 3*q(a). Factor k(f).
(f - 1)**3*(f + 1)*(f + 6)
Determine g so that 14/5 - 2/5*g**3 + 18/5*g**2 - 6*g = 0.
1, 7
Find c, given that 16/5 + 132/5*c**2 - 88/5*c + 14/5*c**4 - 74/5*c**3 = 0.
2/7, 1, 2
Let q(m) be the first derivative of -m**4/8 + 3*m**2/4 - m + 1. Find h, given that q(h) = 0.
-2, 1
Let l = -235 - -240. Let 0*q**2 + 1/5*q**l + 0*q + 2/5*q**4 + 0 + 0*q**3 = 0. Calculate q.
-2, 0
Let f(r) be the third derivative of 0*r + 1/30*r**6 + 11/24*r**4 - 13/60*r**5 + 3*r**2 - 1/3*r**3 + 0. Factor f(y).
(y - 2)*(y - 1)*(4*y - 1)
Suppose 2 + 2 = -4*g. Let s be 2 - (1 + g/1). Factor 0 - 1/3*p**s + 1/3*p.
-p*(p - 1)/3
Let w = -1437/4 + 360. Factor -3/4*d**5 + 3/4*d**2 + w*d**3 + 0 + 0*d - 3/4*d**4.
-3*d**2*(d - 1)*(d + 1)**2/4
Suppose 0 = -9*g + 7*g + 8. Let a(m) be the third derivative of 1/36*m**g + 0*m**3 + 1/504*m**8 - m**2 + 0*m**5 + 0 + 0*m + 0*m**7 - 1/90*m**6. Factor a(l).
2*l*(l - 1)**2*(l + 1)**2/3
Let f(g) be the third derivative of -7*g**2 - 2/105*g**7 + 2/15*g**5 + 0 + 1/30*g**6 + 0*g**3 + 0*g**4 + 0*g. Solve f(m) = 0 for m.
-1, 0, 2
Let i(b) be the third derivative of b**9/211680 - b**7/17640 - b**5/60 - 4*b**2. Let a(k) be