 0.
-1, 2
Suppose 45 = -18*z + 45. Factor 0*l**2 + 2/5*l**3 - 2/5*l + z.
2*l*(l - 1)*(l + 1)/5
Let n be 1/(1/(-7 - 0)). Let i(z) = -z - 5. Let y be i(n). Factor 4*p**3 + 6*p - y*p**3 - 8*p.
2*p*(p - 1)*(p + 1)
Let n(t) be the third derivative of -t**8/2184 - t**7/455 + t**6/78 - t**5/195 - 3*t**4/52 + 5*t**3/39 - 31*t**2. Solve n(a) = 0 for a.
-5, -1, 1
Let b(i) = i**3 + 4*i**2 - 5*i + 3. Let c = -8 + 3. Let l be b(c). Solve 0 - 1/3*s**2 - 1/3*s**l + 0*s = 0.
-1, 0
Factor 4*w + 9*w**2 + 19*w**2 - 64*w + 36 - 4*w**3.
-4*(w - 3)**2*(w - 1)
Let x(v) be the first derivative of 2*v**3/15 - 4*v**2/5 + 8*v/5 + 5. Factor x(h).
2*(h - 2)**2/5
Factor 25 + 25 + 3*w**2 - 62.
3*(w - 2)*(w + 2)
Let s(x) be the first derivative of x**6/18 + x**5/3 + x**4/2 - 2*x**3/9 - 7*x**2/6 - x - 10. Find j, given that s(j) = 0.
-3, -1, 1
Factor 2/9*o**5 + 0*o**2 + 0*o**4 - 4/9*o**3 + 2/9*o + 0.
2*o*(o - 1)**2*(o + 1)**2/9
Let u(p) = -2*p**3 + 2*p**2 - 2*p + 2. Let k(c) = c + c - 2*c**3 + 2 - 3*c + 11*c**2 - 10*c**2. Let n(j) = 4*k(j) - 5*u(j). Factor n(q).
2*(q - 1)**3
Let t(y) = -y**3 + y**2 - y - 1. Let o(q) = 0*q**2 - 2*q - 2*q - 6*q**3 + 3*q**2 - 4 - q**2. Let r(b) = o(b) - 4*t(b). Suppose r(a) = 0. Calculate a.
-1, 0
Let q(g) be the first derivative of -g**5/5 - 3*g**4 - 18*g**3 - 54*g**2 - 81*g + 18. What is r in q(r) = 0?
-3
Let q(l) = l - 1. Let b be q(1). Suppose -2*v + s + 22 = 2*v, 4*s + 3 = -v. Find y, given that 2/9*y**v + 0*y**2 - 2/9*y**4 + 0*y**3 + b + 0*y = 0.
0, 1
Factor -2/13*m**2 + 8/13*m - 8/13.
-2*(m - 2)**2/13
Let m = -9689/9 + 1073. Let t = 155/36 + m. Factor 0*l + 3/4*l**4 + 0 + 1/4*l**2 + 1/4*l**5 + t*l**3.
l**2*(l + 1)**3/4
Suppose -2*r = -4*r + 4. Factor -11*o**2 - 5*o**r + 15*o**2.
-o**2
Solve 0 + 0*x + 0*x**4 + 0*x**3 - 1/3*x**5 + 0*x**2 = 0 for x.
0
Let q(d) be the third derivative of d**7/105 + 13*d**6/240 + 11*d**5/120 + d**4/24 - d**2. Factor q(n).
n*(n + 1)*(n + 2)*(4*n + 1)/2
What is k in 0 + 2/3*k**3 + 2/3*k**4 + 0*k**2 + 0*k = 0?
-1, 0
Let v be (-69)/(-18) + 4/24. Find k such that -k**2 + 0 - 5 + 3 - 1 - v*k = 0.
-3, -1
Let c(z) = -13*z**3 + 10*z**2 + 7*z - 13. Suppose 12 = t + 3. Let q(f) = 6*f**3 - 5*f**2 - 3*f + 6. Let v(m) = t*q(m) + 4*c(m). Let v(k) = 0. What is k?
-1/2, 1, 2
Let w be 8/(-2) + (13 - 6). Let a(m) be the first derivative of -1/3*m**w - 4*m - 2 + 2*m**2. Factor a(i).
-(i - 2)**2
Let z(i) be the first derivative of -3*i**4/8 - i**3/6 + 3*i**2/4 + i/2 + 12. Find p such that z(p) = 0.
-1, -1/3, 1
Let l(m) be the first derivative of -m**4/6 - m**3/3 - 3*m - 2. Let q(y) be the first derivative of l(y). Factor q(p).
-2*p*(p + 1)
Suppose 4/5 - 1/5*d**2 - 4/5*d + 1/5*d**3 = 0. Calculate d.
-2, 1, 2
Let i(h) be the first derivative of -4*h**6/9 + 4*h**5/3 - h**4 - 4*h**3/9 + 2*h**2/3 - 14. Factor i(r).
-4*r*(r - 1)**3*(2*r + 1)/3
Let g(h) be the first derivative of -2*h**2 - 2*h - 2/3*h**3 - 5. Solve g(s) = 0.
-1
Let o(m) be the third derivative of -m**8/84 + 2*m**7/35 + 7*m**6/30 - m**5 - 3*m**4 - 13*m**2. Determine t so that o(t) = 0.
-2, -1, 0, 3
Let x be (1 + -6)*4/(-4). Let b(t) be the third derivative of 1/180*t**6 + 2*t**2 + 0*t + 0*t**3 + 0 - 1/36*t**4 + 0*t**x. Let b(g) = 0. What is g?
-1, 0, 1
Let x be 0/((-3 - -3) + -2). Let j(r) be the first derivative of -2/15*r**6 - 3 - 1/10*r**2 - 3/4*r**4 - 13/25*r**5 - 7/15*r**3 + x*r. What is s in j(s) = 0?
-1, -1/4, 0
Suppose -s - 6 = s. Let f be 0/(-1) - (s + 0). What is u in -3*u**2 - u + 2*u**2 - 1 + f*u = 0?
1
Let q(t) = 20*t**5 - 36*t**4 + 32*t**3 - 8. Let u(m) = 13*m**5 - 24*m**4 + 21*m**3 - 5. Let v(c) = -5*q(c) + 8*u(c). Factor v(s).
4*s**3*(s - 2)*(s - 1)
Suppose 3*p = -6, 0*i - 2*p - 2 = i. Let -3/2 - 3/2*q**5 + 3*q**i - 3/2*q**4 - 3/2*q + 3*q**3 = 0. What is q?
-1, 1
Let -6494*i - 3*i**3 + 6*i**2 + 6494*i = 0. Calculate i.
0, 2
Factor 0*t**2 + t**2 - 2*t + 107*t**3 + 5*t**4 - 99*t**3.
t*(t + 1)**2*(5*t - 2)
Let c(l) be the first derivative of 0*l - 2 - 2/5*l**5 + 1/2*l**2 + 2/3*l**3 - 1/6*l**6 + 0*l**4. Let c(i) = 0. Calculate i.
-1, 0, 1
Suppose 0 = -16*i + 24*i - 16. Factor 8/5*f**3 + 8/5*f**i + 2/5*f + 0.
2*f*(2*f + 1)**2/5
Determine i, given that 24/11*i + 6/11*i**2 + 24/11 = 0.
-2
Let z be (-6)/3*(-2)/4. Let i(m) = -m**4 - 2*m**3 - 6*m**2 - 3*m - 3. Let x(b) = b**3 + b**2 + 1. Let u(h) = z*i(h) + 5*x(h). Factor u(k).
-(k - 2)*(k - 1)**2*(k + 1)
Let i = -2/55 - -68/55. Find v, given that 6/5*v**2 - i*v + 2/5 - 2/5*v**3 = 0.
1
Let i(u) be the first derivative of 8*u**5/7 - 23*u**4/14 + 2*u**3/21 + 2*u**2/7 + 9. Determine x, given that i(x) = 0.
-1/4, 0, 2/5, 1
Let l(w) be the second derivative of w**6/240 + w**5/120 - w**4/24 - w**2 + 5*w. Let z(g) be the first derivative of l(g). Determine j, given that z(j) = 0.
-2, 0, 1
Let v = -8 + 10. Suppose 0 = 5*y + 25, 0 = v*s - 3*s - 5*y - 21. Determine w, given that 0*w**3 + w**3 - s*w**3 + w**5 + 2*w**3 = 0.
-1, 0, 1
Suppose 5*i = 5*h + 25, 0*i + 2*h + 7 = i. What is m in -5 - i + 4 + m**2 + 0*m**2 = 0?
-2, 2
Let t be 63/(-2) - 10/20. Let h = -32 - t. Factor 1/4*s**3 + 0*s + 0*s**2 + h.
s**3/4
Let i = -5 - -8. Factor i + 2*c - 2*c**2 - 1 - 2.
-2*c*(c - 1)
Let f(r) = r + 1. Let j be f(4). Factor -3*b**4 + b**3 + b**j + 6*b**4 + 3*b**4 - 4*b**4.
b**3*(b + 1)**2
Let z be 2 - (-4 - -3)*-2. Suppose -2*m = -z*m. Suppose 2*f**4 - 3*f**3 - 1/2*f**5 + m - 1/2*f + 2*f**2 = 0. Calculate f.
0, 1
Let x(p) be the second derivative of 4/3*p**3 + 0 + 1/4*p**4 - 2*p**2 - 5*p - 9/20*p**5. Suppose x(u) = 0. Calculate u.
-1, 2/3
Let p(w) be the second derivative of -w**6/105 - w**5/35 - w**4/42 - 15*w. Factor p(j).
-2*j**2*(j + 1)**2/7
Let m(t) be the third derivative of -t**5/450 - t**4/180 + 13*t**2. Factor m(p).
-2*p*(p + 1)/15
Let q(m) be the third derivative of -m**6/8 + 3*m**5/5 - 9*m**4/8 + m**3 + 5*m**2. Find u such that q(u) = 0.
2/5, 1
Let s(p) be the third derivative of 0*p**3 - 1/1176*p**8 + 2*p**2 + 0*p + 0*p**7 - 1/84*p**4 + 1/210*p**6 + 0*p**5 + 0. Factor s(w).
-2*w*(w - 1)**2*(w + 1)**2/7
Let j(b) be the first derivative of -2*b**5/5 + 3*b**4/2 + 4*b**3/3 - 12*b**2 + 16*b + 51. Determine z so that j(z) = 0.
-2, 1, 2
Factor -24 - 40*k + 54*k**2 - k**3 - 14*k**3 + 4*k.
-3*(k - 2)**2*(5*k + 2)
Suppose 5*m - 10 = -j - 0*j, -5*m + 10 = 3*j. Let n(v) be the first derivative of -9/16*v**4 + m + 0*v - 1/6*v**3 + 0*v**2. What is g in n(g) = 0?
-2/9, 0
Let b = -13 + 15. Let p be b + 0 + (-340)/187. Factor -2/11*c + p*c**2 + 0.
2*c*(c - 1)/11
Let l(v) = 6*v - 2. Let q be l(1). Let c(a) be the first derivative of 0*a**3 - 1/20*a**5 - 1/4*a**2 + 1/4*a + 3 + 1/8*a**q. Factor c(s).
-(s - 1)**3*(s + 1)/4
Let m(u) be the first derivative of -22*u**5/5 - 9*u**4/2 + 4*u**3/3 - 17. Find w, given that m(w) = 0.
-1, 0, 2/11
Factor -4/5*r**3 - 16/5*r**2 + 0 + 0*r.
-4*r**2*(r + 4)/5
Let k(z) be the first derivative of 4*z**3/3 + 4*z**2 + 4*z + 7. What is f in k(f) = 0?
-1
Let w(l) be the first derivative of l**5/15 + l**4/3 + 2*l**3/3 + 2*l**2/3 + l/3 + 9. Find m such that w(m) = 0.
-1
Let t(r) = 2*r**2 + 3*r - 2. Let k be t(1). Determine w, given that 2*w**5 - 4*w - 4*w**k + 10*w**3 - 6*w**2 - w**4 + 7*w**4 - 4*w**3 = 0.
-2, -1, 0, 1
Suppose -6 = 5*g - 5*n + 9, 0 = 3*n - 15. Let -g*r**3 - 3*r**2 + r**3 + 4*r + 3*r**3 - 3*r**2 = 0. Calculate r.
0, 1, 2
Let o(y) be the first derivative of -1/9*y**2 + 1/54*y**4 - 1 - y + 0*y**3. Let p(g) be the first derivative of o(g). Factor p(q).
2*(q - 1)*(q + 1)/9
Let p(n) be the third derivative of -n**7/735 - n**6/420 + n**5/210 + n**4/84 - 6*n**2. Factor p(k).
-2*k*(k - 1)*(k + 1)**2/7
Suppose 2*t + l = 3*l + 2, 5*t - 3*l - 7 = 0. Suppose t*i - 3*u = -3, -4*u = -i - 0*u - 4. Factor i + 2/5*p**2 - 2/5*p.
2*p*(p - 1)/5
Let p(y) be the second derivative of 3/20*y**5 + 1/4*y**4 - 3/2*y**2 + 0 - 1/2*y**3 - 11*y. Let p(q) = 0. What is q?
-1, 1
Let r be (-10)/(-14)*2/5. Suppose 4*w + 12 = 0, -f - 1 = -0*f + 2*w. What is l in 2/7*l - 2/7 - r*l**4 + 2/7*l**f + 4/7*l**2 - 4/7*l**3 = 0?
-1, 1
Factor 2*h**4 + 11*h + h**4 - 3*h**2 - 11*h.
3*h**2*(h - 1)*(h + 1)
Let h = -61/9 + 689/99. Factor h*f + 2/11*f**2 + 0.
2*f*(f + 1)/11
Let u(j) = 16 + 12*j**5 + 8*j - 8*j - 4*j**4 - 24*j**3 + 16*j**2. Let t(d) = -4*d**5 + d**4 + 8*d**3 - 5*d**2 - 5. Let s(q) = -16*t(q) - 5*u(q). Factor s(b).
4*b**3*(b - 1)*(b + 2)
Sup