rivative of -3*w**7/245 + 2*w**6/105 + 11*w**5/420 + w**4/84 - w**3/2 - 3*w**2. Let x(k) be the first derivative of y(k). Factor x(a).
-2*(a - 1)*(6*a + 1)**2/7
Let d(f) be the first derivative of 4*f**3/3 - 5*f**2/2 + 3*f + 7. Let s(c) = -7*c**2 + 9*c - 5. Let p(b) = 10*d(b) + 6*s(b). Let p(w) = 0. Calculate w.
0, 2
Let u(t) be the third derivative of t**6/15 + 7*t**5/60 + 7*t**3/6 - 3*t**2. Let p(j) = -7*j**3 - 6*j**2 - 6. Let r(c) = -7*p(c) - 6*u(c). Factor r(v).
v**3
Suppose -2*x + x = c - 14, 63 = 4*c - 3*x. Suppose -6*g + c = -g. Factor -2*d**3 - 3*d - d**2 - 2*d**g + 1 + 7*d.
-(d - 1)*(d + 1)*(4*d + 1)
Suppose 6*o**3 - 5*o - 2*o**4 - 6*o**4 - o + 5*o**4 + 3*o**2 = 0. What is o?
-1, 0, 1, 2
Determine j, given that 40/13*j**2 + 0 + 16/13*j + 6/13*j**4 + 28/13*j**3 = 0.
-2, -2/3, 0
Let -3/8*i**3 - 1/8*i**4 + 1/2*i + 0*i**2 + 0 = 0. Calculate i.
-2, 0, 1
Let -1/3*v**2 + 0 - v = 0. Calculate v.
-3, 0
Let d(a) be the first derivative of -a**7/2520 + a**6/360 - a**5/120 + a**4/72 - 5*a**3/3 - 3. Let f(v) be the third derivative of d(v). Factor f(m).
-(m - 1)**3/3
Let z(x) = 2*x**3 - 4*x**2 + x + 2. Let t be z(2). Let w = -15 - -17. Suppose t + 3*s**2 - 4*s - 2*s**w + 0*s**2 = 0. Calculate s.
2
Suppose -12 = -3*g - 3*d + 15, 0 = -4*g - 3*d + 31. Suppose g*x = x. Determine k so that 0*k**2 - k**2 + x*k**2 + k = 0.
0, 1
Let s(x) be the first derivative of x**4/4 - 3*x**2/2 + 2*x + 1. Factor s(l).
(l - 1)**2*(l + 2)
Let a(l) be the first derivative of -l**6/1440 - l**5/240 - l**4/96 + 4*l**3/3 + 4. Let z(f) be the third derivative of a(f). Suppose z(r) = 0. Calculate r.
-1
Suppose 7*l - 38 = 2*l + 2*p, 3*l + 4*p = 2. Let t be (-9)/(-6)*8/l. Determine v so that -2*v - 2*v + 2*v**t + 5 - 5 = 0.
0, 2
Let u(m) be the third derivative of -1/105*m**5 + 0*m + 2/21*m**3 + 1/28*m**4 + 0 - 1/140*m**6 - 3*m**2. Determine w so that u(w) = 0.
-1, -2/3, 1
Suppose 3*s = -2*h + 23, -5*h - 4*s + 21 = -19. Suppose -34*c**3 + 7 - 2*c**3 - 18*c**3 - 19 + 15*c**h + 51*c**2 = 0. What is c?
-2/5, 1, 2
Find r, given that 1/2*r**4 + 0*r**3 + 0*r**2 + 0*r + 0 + 1/2*r**5 = 0.
-1, 0
Let x(h) be the second derivative of -h**8/10080 - h**7/3780 - h**4/12 + 4*h. Let u(k) be the third derivative of x(k). Factor u(t).
-2*t**2*(t + 1)/3
Let l(d) be the third derivative of d**8/672 + d**7/420 - d**6/240 - d**5/120 + 2*d**2. Suppose l(g) = 0. Calculate g.
-1, 0, 1
Suppose 0*p = -2*p - 12. Let c be p/15*5/(-4). Factor -1/4*d + c*d**2 - 1/4*d**3 + 0.
-d*(d - 1)**2/4
Let h(u) be the second derivative of u**4/3 + 2*u**3 + 4*u**2 - u. Let h(o) = 0. Calculate o.
-2, -1
Let o(k) = -k + 1. Let s(n) = -3*n**2 + 3*n - 6. Let w(b) = -6*o(b) - s(b). Factor w(z).
3*z*(z + 1)
Factor -3*j**4 - 26*j**3 + 24*j**3 + 2*j**4 - j**2.
-j**2*(j + 1)**2
Let x(v) = -v**3 + v**2 - 2*v + 2. Let m(k) = 6*k**3 - 6*k**2 + 10*k - 10. Let d(j) = -3*m(j) - 16*x(j). Factor d(p).
-2*(p - 1)**2*(p + 1)
What is n in 0*n + 4/23*n**2 - 2/23*n**5 + 2/23*n**3 + 0 - 4/23*n**4 = 0?
-2, -1, 0, 1
Let y(q) be the second derivative of -3*q - 1/18*q**5 + 2/9*q**2 + 1/6*q**4 + 0 - 7/27*q**3 + 1/135*q**6. Factor y(d).
2*(d - 2)*(d - 1)**3/9
Let g(u) be the third derivative of u**10/241920 + u**9/241920 - 7*u**5/60 + 7*u**2. Let w(j) be the third derivative of g(j). Find l such that w(l) = 0.
-2/5, 0
Let m(y) be the third derivative of -y**8/56 + 23*y**7/105 - 2*y**6/3 - 8*y**5/15 + 16*y**2 + 1. Determine o, given that m(o) = 0.
-1/3, 0, 4
Suppose -13*z + 14*z - 5 = 0. Let s(c) be the third derivative of -1/240*c**6 + 2*c**2 + 0*c + 0 + 1/60*c**z + 0*c**3 - 1/48*c**4. Solve s(i) = 0.
0, 1
Let p(t) be the third derivative of t**5/570 + t**4/76 - 4*t**3/57 - 23*t**2. Determine m, given that p(m) = 0.
-4, 1
Let c(r) be the first derivative of r**5/25 - r**3/15 + 4. Factor c(v).
v**2*(v - 1)*(v + 1)/5
Suppose 3*o = -3*r, -2*o + 6*o = -2*r + 4. What is v in -2*v**3 - 28*v**o + 2*v**4 + 28*v**2 = 0?
0, 1
Let s be 5/(-6) - (-72)/54. Factor -s*c - 1/2*c**2 + 1.
-(c - 1)*(c + 2)/2
Let h = 897 - 895. Let -2/7*m**h - 6/7*m - 4/7 = 0. What is m?
-2, -1
Let i(a) = a**2 + a + 2. Let v be i(-2). Let t be (-27)/(-6) - 2/v. Let -2*m**t + 0*m**4 - m**3 + 3*m**5 + 0*m**4 = 0. Calculate m.
-1/3, 0, 1
Let w = -899/5 + 181. Factor 2/5*b + w*b**3 - 8/5*b**2 + 0.
2*b*(b - 1)*(3*b - 1)/5
Let q(x) be the first derivative of -x**4 - 4*x**3 - 4*x**2 - 15. Let q(t) = 0. What is t?
-2, -1, 0
Suppose f + 0 - 2 = 0, 14 = 2*b + 2*f. Let x(l) = l**3 - 3*l**2 - 5*l - 5. Suppose -1 = s - 2. Let v(j) = j**2 + j + 1. Let z(t) = b*v(t) + s*x(t). Factor z(o).
o**2*(o + 2)
Let i(b) = -9*b**4 + 3*b**2 + 6*b - 6. Let l(n) = -17*n**4 + 6*n**2 + 11*n - 11. Let s(h) = -11*i(h) + 6*l(h). Solve s(q) = 0 for q.
-1, 0, 1
Let q(n) be the second derivative of n**5/30 - 4*n**3/3 + n**2 - 3*n. Let k(g) be the first derivative of q(g). Find r, given that k(r) = 0.
-2, 2
Let v(u) = 21*u**3 + 90*u**2 + 69*u. Let x(i) = i + 1. Let l(g) = v(g) + 18*x(g). Factor l(p).
3*(p + 1)*(p + 3)*(7*p + 2)
Factor -6 - w**2 - w**3 + 6.
-w**2*(w + 1)
Let c(v) = -v**2 - 1. Let x(g) = 2*g**2 + 3. Let l(r) = 6*c(r) + 2*x(r). Factor l(b).
-2*b**2
Let v be -2*((-235)/55 + 4). Determine h, given that 0 - 14/11*h**3 + 10/11*h**5 - 6/11*h**2 + v*h**4 + 4/11*h = 0.
-1, 0, 2/5, 1
Let n(j) = j**2 - j - 1. Let z(d) = -2*d**2 + d + 4. Let c(o) = -3*n(o) - z(o). Factor c(p).
-(p - 1)**2
Factor -8*k - 8 - 5*k**2 + 16 - k**2.
-2*(k + 2)*(3*k - 2)
Let w = 119/15 - 33/5. Factor -2/3 + w*h**2 - 2/3*h.
2*(h - 1)*(2*h + 1)/3
Factor -4/9*r + 26/9*r**4 + 2*r**2 + 16/3*r**3 + 0.
2*r*(r + 1)**2*(13*r - 2)/9
Factor -6*r**2 - 3 - 2*r + 16*r**2 - 5*r**4 + 5*r**5 - 10*r**3 + 7*r - 2.
5*(r - 1)**3*(r + 1)**2
Let n = 841/3332 - 2/833. What is s in -1/4*s + 1/2*s**3 - n*s**5 + 0 + 0*s**2 + 0*s**4 = 0?
-1, 0, 1
Let k = -102 - -310/3. Let h(z) be the first derivative of -k*z**3 + 0*z + 2 + 1/2*z**4 + z**2. Suppose h(g) = 0. Calculate g.
0, 1
Let d(y) = -y - 5. Let f be d(-7). Factor -4*b**f + 3*b**2 + 2*b**2 - 2*b - b**3 + 4*b**3.
b*(b + 1)*(3*b - 2)
Let n(m) be the third derivative of 2/15*m**3 - 4*m**2 + 1/60*m**4 - 1/150*m**5 + 0*m + 0. Factor n(k).
-2*(k - 2)*(k + 1)/5
Let z = 35/2 - 17. Let v(f) be the first derivative of 4/3*f**3 + 0*f**2 - 2 + 0*f + z*f**4. Find g such that v(g) = 0.
-2, 0
Suppose 0*g + 4*g + 8 = 0. Let p(u) = -u**3 - u**2 - u + 1. Let w(k) = 6*k**3 + 7*k**2 + 11*k - 7. Let b(a) = g*w(a) - 14*p(a). Suppose b(m) = 0. What is m?
-2, 0, 2
Let s(m) be the second derivative of m**5/60 - m**4/12 + m**3/9 - 25*m. Factor s(p).
p*(p - 2)*(p - 1)/3
Let s(h) be the second derivative of h**4/36 - h**3/9 - 18*h. Factor s(w).
w*(w - 2)/3
Let n = 72 + -356/5. Let t(w) be the first derivative of 2 + 1/5*w**2 - 2/15*w**3 + n*w. What is y in t(y) = 0?
-1, 2
Let u(b) be the third derivative of b**7/840 + b**6/120 + b**5/40 + b**4/8 - 3*b**2. Let f(i) be the second derivative of u(i). Determine q so that f(q) = 0.
-1
Let s(r) be the first derivative of r**6/2 - 27*r**5/5 + 81*r**4/4 - 27*r**3 - 23. Factor s(q).
3*q**2*(q - 3)**3
Let u(x) be the first derivative of -x + 1 - 1/48*x**4 - 1/8*x**2 + 1/12*x**3. Let n(m) be the first derivative of u(m). Factor n(p).
-(p - 1)**2/4
Let g = 4873/42 + -679/6. Suppose 3*l - 8 = l. Determine p, given that -10/7*p**l - 10/7*p - g*p**2 - 2/7 - 20/7*p**3 - 2/7*p**5 = 0.
-1
Find p, given that 3/7*p**3 - 6/7*p**4 + 6/7*p**2 + 0 - 3/7*p**5 + 0*p = 0.
-2, -1, 0, 1
Let s(u) = -19*u - 112. Let o be s(-6). Let j(a) be the third derivative of 0*a + a**o + 1/30*a**5 + 0*a**4 + 0 - 4/3*a**3. Solve j(l) = 0 for l.
-2, 2
Let z(o) be the third derivative of -o**6/840 + o**5/84 - o**4/24 + o**3/14 - 5*o**2. Suppose z(y) = 0. What is y?
1, 3
Let j(k) = -k**2 - 1. Let n(b) = -b**3 - 5*b**2 - 3. Let t(z) = -6*j(z) + 2*n(z). Factor t(q).
-2*q**2*(q + 2)
Solve 3*a**2 + 4 + 6 - 8*a**2 + 5*a = 0 for a.
-1, 2
Let -3*t**4 + 9*t**2 - 3*t**3 + 0 + 15*t + 3 + 3 = 0. Calculate t.
-1, 2
Determine y, given that 0 - 7 + 3*y**2 - 5 + 3*y**3 - 12*y = 0.
-2, -1, 2
Let w(h) = 13*h + 6. Let t be w(-4). Let r be t/(-14) + 15/(-5). Suppose -r - 6/7*d**2 + 2/7*d**3 + 6/7*d = 0. Calculate d.
1
Let -1/2*n**2 + 0 - n = 0. Calculate n.
-2, 0
Let l(p) be the first derivative of 21*p**5/20 + 39*p**4/8 + 5*p**3 - 3*p**2 - 9. Factor l(d).