6 + 7*y**2 + j - 6*y + 3*y**2.
2*(y - 1)*(5*y + 2)
Let x(o) be the third derivative of 0*o**3 - 2/25*o**5 - 9/100*o**6 + 0 + 27/560*o**8 - 1/40*o**4 + 0*o - 6*o**2 + 0*o**7. Solve x(t) = 0.
-1/3, 0, 1
Let j(x) be the third derivative of -x**6/1260 + x**4/84 + x**3/3 - 3*x**2. Let r(a) be the first derivative of j(a). Suppose r(n) = 0. What is n?
-1, 1
Suppose 5*d**4 + 4*d**3 - 4*d**2 + d**2 - 2*d**4 + 3*d - 7*d**3 = 0. Calculate d.
-1, 0, 1
Find s, given that 8/5 + 1/5*s**3 + 6/5*s**2 + 12/5*s = 0.
-2
Let d = -7 - -10. Let z be d/(-15) + (-1)/(-5). Factor 0*i**4 + z*i**2 - 1/4*i**5 + 0 + 1/2*i**3 - 1/4*i.
-i*(i - 1)**2*(i + 1)**2/4
Let s(v) be the third derivative of 0*v + 0*v**5 + 0*v**3 + 1/48*v**4 - v**2 - 1/240*v**6 + 0. Factor s(y).
-y*(y - 1)*(y + 1)/2
Let q = 9 - 2. Let p(w) = 14 - w**2 + q - 10*w - 2 - 8*w. Let u(v) = 6*v - 6. Let g(r) = 2*p(r) + 7*u(r). Factor g(z).
-2*(z - 2)*(z - 1)
Let q(l) be the second derivative of l**6/600 + l**5/300 - l**4/120 - l**3/30 - 4*l**2 + 7*l. Let z(y) be the first derivative of q(y). Factor z(c).
(c - 1)*(c + 1)**2/5
Let q(w) be the first derivative of 2*w**3/21 + 2*w**2/7 + 2*w/7 - 12. Find k such that q(k) = 0.
-1
Let j = 11 + -11. Let b be 4 - j*3/9. Factor 4/7*r**3 + 0*r + 0*r**2 + 0 - 6/7*r**b - 10/7*r**5.
-2*r**3*(r + 1)*(5*r - 2)/7
Let c(r) = 2*r**2. Let w be c(1). Factor -2*b**w + 4*b**2 - 4*b + 5*b**2 - 7*b**4 + 2*b + 2*b**3.
-b*(b - 1)*(b + 1)*(7*b - 2)
Let y = 36 - 35. Determine i, given that 77/4*i**4 - 73/4*i**2 - 17/4*i**3 - 8*i - y + 49/4*i**5 = 0.
-1, -2/7, 1
Let t(j) be the first derivative of -3/10*j**5 + 0*j**2 - 3 - 3/4*j**4 + 0*j - 1/2*j**3. Factor t(y).
-3*y**2*(y + 1)**2/2
Let n(o) = -3*o**2 + 8*o + 5. Let x(d) = -5*d + 21 - 12*d**2 + 25*d + 13*d. Let f(p) = 21*n(p) - 5*x(p). Factor f(r).
-3*r*(r - 1)
Let w be -4 + (192/(-14))/(-3). Factor 1/7*b**2 + 4/7 - w*b.
(b - 2)**2/7
Factor -2/7*f**3 - 2/7*f**2 + 2/7*f + 2/7.
-2*(f - 1)*(f + 1)**2/7
Let g be (-1)/(8/(64/(-20))). Solve 2/5*y**3 + 2/5 - g*y**2 - 2/5*y = 0 for y.
-1, 1
Let r be 0 + 3 - 1 - -2. Factor 4*y - y**2 + r*y**2 + 0*y - y**2.
2*y*(y + 2)
Suppose 4*a - 29 = -3*f, -2*a - 5 = -4*f - 3. Suppose p**3 + 5*p**3 + 3*p - 7*p**f - 2 = 0. What is p?
-2, 1
Let z be -2*7/30 + 56/70. What is j in -z*j - 2/3*j**4 + 0*j**3 + 2/3*j**2 + 1/3*j**5 + 0 = 0?
-1, 0, 1
Suppose -5*w = -2*w. Suppose -2*t + w*t + 2*k - 4 = 0, 4*t + 2 = k. Factor y**2 + t*y**2 + 3*y + 0*y**2 + 2.
(y + 1)*(y + 2)
Suppose 2*m + 5*h + 2 = 0, 2*m - 2*h = -3*h + 6. Let g(s) be the second derivative of 3*s - 3/10*s**2 + 0 + 1/5*s**3 - 1/20*s**m. Factor g(c).
-3*(c - 1)**2/5
Let x(c) be the second derivative of -c**7/168 + c**6/30 - c**5/80 - 5*c**4/24 + c**3/6 + c**2 - 2*c. What is a in x(a) = 0?
-1, 2
Let r = 14 - 14. Suppose -3*i - 2*m + 10 = -r*m, -4*i = -2*m + 10. Factor 0*c + i + 24/5*c**3 + 18/5*c**4 + 8/5*c**2.
2*c**2*(3*c + 2)**2/5
Let r(j) be the first derivative of -j**7/4620 + j**6/495 - j**5/132 + j**4/66 - j**3 + 6. Let k(p) be the third derivative of r(p). Solve k(z) = 0.
1, 2
Let v(z) = -4*z**2 + 6*z + 22. Let c(p) = p + 1. Let g(m) = 6*c(m) - v(m). Suppose g(a) = 0. What is a?
-2, 2
Let v(l) = 27*l**2 + 30*l - 55. Let r(m) = 28*m**2 + 30*m - 55. Let w(y) = 2*r(y) - 3*v(y). What is p in w(p) = 0?
-11/5, 1
Let o = 48 - 46. Let b(m) be the second derivative of -1/12*m**4 + 0*m**3 + m + 1/10*m**5 + 0 - 1/30*m**6 + 0*m**o. Factor b(p).
-p**2*(p - 1)**2
Let g = -23 + 25. Let c(r) be the third derivative of 1/90*r**5 + 0*r + 1/36*r**4 + r**g + 0 - 2/9*r**3. Factor c(n).
2*(n - 1)*(n + 2)/3
Let x be ((-112)/(-270))/((-2)/(-57)). Let m = -58/5 + x. Suppose m*b**3 + 0 + 4/9*b**2 + 2/9*b = 0. Calculate b.
-1, 0
Suppose -4*p - 2*c + 14 = 0, -3 = 5*p + c - 16. Let r be 336/(-108)*(-7)/p. Factor r*g**3 - 8/9 + 64/9*g - 154/9*g**2.
2*(g - 1)*(7*g - 2)**2/9
Let v(x) be the second derivative of -7*x**4/4 - x**3 - 2*x. Find n, given that v(n) = 0.
-2/7, 0
Factor 27/8 + 9/8*x**2 - 1/8*x**3 - 27/8*x.
-(x - 3)**3/8
Find k such that 5*k**2 - 2*k**2 + 60*k + 48 - 84*k = 0.
4
Let o = -4/3 + 3. Let g(z) be the second derivative of 0 - 2/3*z**4 + o*z**3 - z**2 - z. Let g(u) = 0. What is u?
1/4, 1
Let q be ((-2)/3)/((-24)/558). Let y = q + -15. Factor 1/2 + y*a**2 - a.
(a - 1)**2/2
Let z(g) = 10*g**2 + 56*g + 74. Let q(h) = 2*h**2 + 11*h + 15. Let n(s) = 14*q(s) - 3*z(s). Factor n(w).
-2*(w + 1)*(w + 6)
Let h(m) = 2*m**5 + 8*m**3 - 6*m**2 - 10*m + 6. Let w(x) = x**5 - x**2 - x + 1. Let c(n) = h(n) - 6*w(n). Factor c(t).
-4*t*(t - 1)**2*(t + 1)**2
Let l(t) = -t**3 + 11*t**2 - 10*t + 3. Let b be l(10). Suppose b*j - 12 = -j. Factor -16*y**4 - y + 5*y**4 - y**2 + 4*y**3 + 4*y**5 + 2*y**3 + j*y**3.
y*(y - 1)**3*(4*y + 1)
Let j(x) be the third derivative of 5/21*x**7 + 0*x + 61/30*x**5 + 0 + 7/3*x**4 - 7*x**2 + 4/3*x**3 + 1/42*x**8 + 29/30*x**6. Suppose j(g) = 0. What is g?
-2, -1, -1/4
Let g = -4 + 6. Let j(h) = h**5 + h**4 - h**3 + h**2 + h - 1. Let r(f) = 6*f**4 + 4*f**3 - 6*f**2 - 6*f - 2. Let b(s) = g*j(s) - r(s). Factor b(q).
2*q*(q - 2)**2*(q + 1)**2
Let j(f) = 4*f**2 + 12*f + 12. Let p(y) = -y**2. Let i(r) = j(r) + p(r). Let i(u) = 0. What is u?
-2
Let a(u) = 5*u - 4*u + 16 - 5*u. Let m be a(4). Factor -50/3*c**4 + m + 8/3*c + 10/3*c**3 + 32/3*c**2.
-2*c*(c - 1)*(5*c + 2)**2/3
Let x = -4261/5 + 855. Factor -2/5*a**2 + x*a**4 + 0 + 0*a + 3/5*a**3.
a**2*(2*a + 1)*(7*a - 2)/5
Let k = -29/3 + 125/12. Let w(n) be the first derivative of -n**3 + 0*n - 1/2*n**2 - k*n**4 - 1 - 1/5*n**5. Find p, given that w(p) = 0.
-1, 0
Let x(d) = -d**3 - 5*d**2 - 6*d - 6. Let u be x(-4). Let w = 8 - u. Factor w - 2*a**2 - 3 + a - 4 + 2*a.
-(a - 1)*(2*a - 1)
Suppose -6*z + 6 = -3*z. Let a(i) be the second derivative of 2/7*i**2 - 5/21*i**3 + 1/14*i**5 - 1/21*i**4 + z*i + 0. Factor a(q).
2*(q - 1)*(q + 1)*(5*q - 2)/7
Let y(l) = -l**2 + 4*l + 5. Let b be y(4). Suppose -3*q - 6 = -b*o, 2*q - 2*o = -2*q + 6. Factor 2*s**q - 6*s + 2*s - 1 + 2*s + s**4.
(s - 1)*(s + 1)**3
Suppose -3/4*g**2 + 0 + 9/4*g = 0. What is g?
0, 3
Let x(g) = 5*g**4 + g**3 - 4*g**2 - 3*g - 3. Let z(h) = 9*h**4 + h**3 - 8*h**2 - 5*h - 5. Let j = -2 + -3. Let p(l) = j*x(l) + 3*z(l). What is m in p(m) = 0?
-1, 0, 2
Let w(j) = 6*j**3 + 4*j**2 + j - 11. Let u(a) = -a**3 - a**2 + 2. Let o(i) = 22*u(i) + 4*w(i). Find c such that o(c) = 0.
0, 1, 2
Let p be -17 - -16 - -6*(-8)/(-12). Determine t, given that -t**2 - 1/2*t**p + 0 - 1/2*t = 0.
-1, 0
Let s be 4/(-10) - 34/(-10). Let g(r) = 2*r**2 - 3*r - 3. Let y(z) = -6*z**2 + 8*z + 8. Let v(k) = s*y(k) + 8*g(k). Solve v(q) = 0.
0
Let s = -2 + 5. Suppose -s*p - 18 = -6*p - 4*k, p - 2*k + 4 = 0. Factor -2*t**3 + t - 4*t**4 + 2*t**2 + t + p*t**4.
-2*t*(t - 1)*(t + 1)**2
Factor 1/6*r**2 - 1/3 - 1/6*r.
(r - 2)*(r + 1)/6
Let y(g) = 5*g**4 + 15*g**3 + 6*g**2 + 5*g + 9. Let p(j) = 3*j**4 + 8*j**3 + 3*j**2 + 2*j + 4. Let b = -2 + -7. Let o(z) = b*p(z) + 4*y(z). Factor o(f).
-f*(f + 1)**2*(7*f - 2)
Let y(k) be the first derivative of -3*k**2 - 1/2*k**4 + 1 - 2*k**3 - 2*k. Determine p, given that y(p) = 0.
-1
Let r(q) be the second derivative of -q**4/3 + 4*q**3 - 18*q**2 - 6*q. What is b in r(b) = 0?
3
Suppose -66 = -28*z - 10. Let f be 2/(-8) + (-1)/(-1). Factor 3/2 + 9/4*t + f*t**z.
3*(t + 1)*(t + 2)/4
Let g be -2 + (-5 - 0)*-1. Let z(i) be the first derivative of -1/3*i**g + 0*i**2 + 3 + i. What is h in z(h) = 0?
-1, 1
Factor 0 - r - 5/4*r**3 + 2*r**2 + 1/4*r**4.
r*(r - 2)**2*(r - 1)/4
Let f be (-6)/(-4)*4/3. Suppose b**f + b - 3*b**2 - 5*b = 0. What is b?
-2, 0
Let u(f) be the first derivative of -4/7*f**2 - 2/21*f**3 + 2 - 8/7*f. Suppose u(v) = 0. What is v?
-2
Let a(b) be the second derivative of -5/72*b**4 + 1/180*b**6 - 1/40*b**5 - 1/18*b**3 + 1/252*b**7 + 0*b**2 - 3*b + 0. Factor a(v).
v*(v - 2)*(v + 1)**3/6
Let z(n) be the second derivative of -4*n + 0*n**3 + 0 + 1/6*n**4 - n**2. Factor z(d).
2*(d - 1)*(d + 1)
Let -5/2*a**3 - 115/4*a**2 + 5/4*a**4 + 180 + 30*a = 0. Calculate a.
-3, 4
Let x(s) = 7*s**4 - 11*s**3 + 28*s**2 - 8*s - 4. Let m(i) = -8*i**4 + 10*i**3 - 29*i**2 + 7*i + 5. Let z = -4 - -8. Let a(g) = z*m(g) + 5*x(g). Factor a(c).
3*c*(c - 2)**2*(c - 1)
Let d be (-2)/((-75)/(-80) + -1). Let x = -30 + d. Determine j so that -1/3*j**x + 0 + 0*j = 0.
0
Solve -4/7*d**2 + 0 + 4/7*d*