actor x*p**2 - 3*p**2 - 4*p + 3*p.
p*(p - 1)
Let y(t) be the first derivative of -3*t**4/28 + 2*t**3/7 - 3*t**2/14 - 3. Factor y(u).
-3*u*(u - 1)**2/7
Let i(f) be the third derivative of f**8/840 + f**7/525 + 10*f**2. Determine x, given that i(x) = 0.
-1, 0
Factor -12/7*v**3 + 9/7*v + 3/7*v**5 + 6/7 - 6/7*v**2 + 0*v**4.
3*(v - 2)*(v - 1)*(v + 1)**3/7
Suppose 0 = -i + 2*u + 14, -4*u - 11 - 1 = 2*i. Suppose -i*r - 4 = -6*r. What is h in 3*h - 4 + 2*h**r + 3*h + 0*h**2 - 4*h**2 = 0?
1, 2
Let v = -63862877/204 - -313054. Let t = -1/68 + v. Factor t + 2*l**4 + 4*l + 8*l**2 + 20/3*l**3.
2*(l + 1)**3*(3*l + 1)/3
Suppose 5*r = 3*z - 11, 4*z - 4*r = 6 + 6. Suppose -4*u**z + u**2 + 2 + u**2 = 0. Calculate u.
-1, 1
Let m(u) = -u**2 + u + 1. Let r(p) = -7*p**2 - 27*p - 123. Let q(d) = 5*m(d) - r(d). Solve q(t) = 0 for t.
-8
Let i = -529/54 + 59/6. Let k(q) be the second derivative of 1/90*q**5 + 1/27*q**3 + i*q**4 + 0 + q + 0*q**2. Determine t so that k(t) = 0.
-1, 0
Let o be (-4 - -1)*16/(-12). Suppose 0*y + y = -o, -j - 13 = 5*y. Factor -1 - j*f + 2*f + 2*f**3 + f**4 + 3*f.
(f - 1)*(f + 1)**3
Let p = 12 - 8. Suppose 5*a - h + 0*h - 20 = 0, 0 = -p*a + 5*h + 16. Suppose f**2 - 6*f - 3*f**2 + 4*f**2 + a = 0. Calculate f.
1, 2
Suppose -4*x**3 + 19*x**2 - 16*x**2 - 11*x**2 = 0. Calculate x.
-2, 0
Let g = 2/85 - -77/340. Factor 0 - g*h**2 + 1/4*h.
-h*(h - 1)/4
Factor -2/3*b**4 + 0 - 4/3*b + 2/3*b**2 + 4/3*b**3.
-2*b*(b - 2)*(b - 1)*(b + 1)/3
Let m(r) be the third derivative of r**7/5880 - r**4/24 + r**2. Let q(b) be the second derivative of m(b). Find i such that q(i) = 0.
0
Let j(h) be the first derivative of h**4/4 - 2*h**3/3 + h**2/2 - 17. Suppose j(g) = 0. Calculate g.
0, 1
Let x(p) be the second derivative of 0 - 4*p**2 + 4*p**3 - 5/6*p**4 - 3*p. Factor x(c).
-2*(c - 2)*(5*c - 2)
Let x be 3/((6/4)/1). Suppose -4*b + 15 = -1. Suppose -2*r**2 - 3*r**2 + 12*r + 2*r**2 - 4*r**x + b = 0. What is r?
-2/7, 2
Let i = -10/21 - -61/84. Solve -1/2 - 1/4*k + i*k**3 + 1/2*k**2 = 0 for k.
-2, -1, 1
Let z(u) = u**4 + u**3. Let s(o) = 2 - 2*o**2 + 0 + 0*o**4 + 7*o**4 + 5*o**3 - 2*o**2. Let n(t) = -s(t) + 5*z(t). Find c, given that n(c) = 0.
-1, 1
Suppose 35 + 5*l**2 + 19*l + 7*l + 9*l - 5 = 0. What is l?
-6, -1
Let x(j) = 2*j**2 - 9. Let o(h) = h**2 - 4. Let c = 29 + -20. Let d(m) = c*o(m) - 4*x(m). Factor d(a).
a**2
Let v(w) be the second derivative of -1/30*w**5 - 2*w + 0 + 0*w**2 - 1/9*w**3 + 1/9*w**4. Factor v(m).
-2*m*(m - 1)**2/3
Let r(z) be the first derivative of 1/18*z**6 + 0*z + 2/9*z**3 + 5/12*z**4 + 4/15*z**5 + 0*z**2 - 4. Factor r(u).
u**2*(u + 1)**2*(u + 2)/3
Let x(n) be the third derivative of 2*n**7/105 + 2*n**6/25 + 3*n**5/25 + n**4/15 - 21*n**2. Let x(h) = 0. What is h?
-1, -2/5, 0
Let c(j) be the second derivative of j**5/10 + j**4/2 - j**3/3 - 3*j**2 - 32*j. Factor c(d).
2*(d - 1)*(d + 1)*(d + 3)
Factor 2*b**4 - 2 - 3*b**2 - 4*b**3 + 3*b**2 - 4*b + 8*b.
2*(b - 1)**3*(b + 1)
Let m(x) be the third derivative of x**7/280 + x**6/60 + x**5/40 + x**3/6 - x**2. Let j(h) be the first derivative of m(h). Factor j(w).
3*w*(w + 1)**2
Suppose -2*o + 19 = v, 3*v - 2*o + 5*o - 72 = 0. Solve -8 - 20*n**2 - v*n - n + 2*n = 0 for n.
-1, -2/5
Let n(o) be the second derivative of 0 + 1/9*o**4 + 0*o**2 + 1/30*o**5 - o - 2/45*o**6 + 0*o**3 - 1/63*o**7. Suppose n(h) = 0. Calculate h.
-2, -1, 0, 1
Let c(h) = -2*h**2 - 2*h. Let i(b) = 0*b + b**2 + 0*b**2 - b - 2*b**2. Let q(l) = c(l) - 4*i(l). Suppose q(o) = 0. What is o?
-1, 0
Let i = -43 + 43. Solve i*f + 0 - 2/5*f**2 + 1/5*f**3 = 0 for f.
0, 2
Suppose -12 = 2*k - 16. Factor 2/7*u**k + 2/7*u - 4/7.
2*(u - 1)*(u + 2)/7
Factor -1000/3 - 10*a**2 + 100*a + 1/3*a**3.
(a - 10)**3/3
Find m, given that -3/4*m**4 + 0 - 3/2*m**3 - 3/4*m**2 + 0*m = 0.
-1, 0
Let u = -109 - -112. What is x in 2/5*x + 2/5*x**u + 4/5*x**2 + 0 = 0?
-1, 0
Let d(b) be the third derivative of -1/3*b**3 + 1/9*b**4 + 0 - 1/90*b**5 + 0*b + 9*b**2. Find j, given that d(j) = 0.
1, 3
Let s(y) = y**2 + 4*y - 3. Let w be s(-5). Let 2/7 - 12/7*x + 24/7*x**w - 20/7*x**3 + 6/7*x**4 = 0. What is x?
1/3, 1
Let y(i) = i - 6. Let z be y(8). Suppose 0 = 4*v + 6 + 2, v - 4 = -z*h. Solve 0*d**2 - 2/3*d + 0 + 2/3*d**h = 0 for d.
-1, 0, 1
Let o(p) = p**4 - p**3 - p - 1. Let n(f) = -4*f**4 + 6*f**3 - f**2 + 4*f + 5. Let u(k) = 4*k**3 - k. Let d be u(1). Let q(t) = d*n(t) + 15*o(t). Factor q(c).
3*c*(c - 1)*(c + 1)**2
Let u(x) be the first derivative of x**4/12 - x**2/2 + 2*x/3 - 11. Factor u(l).
(l - 1)**2*(l + 2)/3
Suppose 23 = 5*c - 2*h, -2*c - 3*h = -4*c + 18. Let 0 + 1/4*s**c + 0*s**2 + 0*s - 1/4*s**5 + 0*s**4 = 0. What is s?
-1, 0, 1
Let f = -1 + 3. Let n be -2 - (3 + -5) - -2. Find s, given that 0 - 2/3*s**4 - 2*s**f - n*s**3 - 2/3*s = 0.
-1, 0
Suppose -5*l - 2 = 3*i + i, 2 = -3*i - 4*l. Let f(n) be the first derivative of 0*n**i - 2 - 2*n**4 - 8/3*n**3 + 0*n - 2/5*n**5. Let f(j) = 0. Calculate j.
-2, 0
Let v(j) be the third derivative of -j**5/570 - j**4/57 - j**3/19 - 7*j**2. Find b, given that v(b) = 0.
-3, -1
Let u(a) be the third derivative of -a**7/42 + a**6/3 - 5*a**5/4 - 5*a**4/3 + 40*a**3/3 - 4*a**2. Find m, given that u(m) = 0.
-1, 1, 4
Let m(d) be the first derivative of -2*d**3/3 + 3*d**2 - 4*d - 8. Factor m(g).
-2*(g - 2)*(g - 1)
Let a(i) be the second derivative of -i**4/18 + 4*i**2/3 + 8*i. What is p in a(p) = 0?
-2, 2
Let k(s) be the second derivative of -s**4/3 - 2*s**3/3 + 12*s. Solve k(a) = 0 for a.
-1, 0
Let q(b) be the third derivative of -b**7/315 + b**6/180 + b**2. Factor q(v).
-2*v**3*(v - 1)/3
Let p(y) be the first derivative of -1/2*y**2 + 3 + 1/4*y**4 + 0*y + 0*y**3. Factor p(g).
g*(g - 1)*(g + 1)
Factor 2*z**2 - 1/3*z**4 - 5/3*z**3 - 32/3 + 32/3*z.
-(z - 2)*(z - 1)*(z + 4)**2/3
Suppose -3*b + 4*b = 4. Suppose -8*s + 3*s = 0, -5*n + s = -10. Factor 0 - 2*o**3 + 2/3*o**n + 0*o - 8/3*o**b.
-2*o**2*(o + 1)*(4*o - 1)/3
Determine s, given that -4/9*s + 0 + 2/3*s**3 - 2/9*s**2 - 2/9*s**5 + 2/9*s**4 = 0.
-1, 0, 1, 2
Let c(y) be the first derivative of y**8/105 + y**7/30 + y**6/45 - y**5/30 + y**3 + 3. Let f(l) be the third derivative of c(l). Factor f(u).
4*u*(u + 1)**2*(4*u - 1)
Let o(z) be the third derivative of z**5/120 - z**4/144 + 23*z**2. Factor o(q).
q*(3*q - 1)/6
Factor 0*v - 2/11 + 4/11*v**2 - 2/11*v**4 + 0*v**3.
-2*(v - 1)**2*(v + 1)**2/11
Determine m, given that 12*m**2 - 8*m**5 + 4*m + 7*m**3 + 42*m**4 - 3*m**3 - 54*m**4 = 0.
-1, -1/2, 0, 1
Let a(f) be the first derivative of -f**9/1008 + f**8/560 + f**7/140 + 2*f**3/3 - 4. Let j(m) be the third derivative of a(m). Factor j(g).
-3*g**3*(g - 2)*(g + 1)
Let r = 13 + -13. Solve -1/2*p**3 + 0*p**4 + 1/4*p**5 + 1/4*p + 0*p**2 + r = 0.
-1, 0, 1
Suppose -b - 2*m - 10 = 3*m, -b - 4*m = 7. Let r = b + -3. Factor 3*i - 3*i + 4*i**r - 3*i**2.
i**2
Let b = -10759/4 + 2676. Let x = b + 14. Factor 1/2*d**3 - x - 1/2*d + 1/4*d**4 + 0*d**2.
(d - 1)*(d + 1)**3/4
Let k be 3/(3/(-6) + 2). Let l(a) be the first derivative of 2*a**k - 3*a**3 - 3*a + a**2 + 2*a**3 - 1. Factor l(s).
-3*(s - 1)**2
Factor 3/7*u**3 + 0 - 3/7*u**4 + 3/7*u**2 - 3/7*u.
-3*u*(u - 1)**2*(u + 1)/7
Let v(j) be the third derivative of j**6/24 - 7*j**5/12 + 25*j**4/8 - 15*j**3/2 + 3*j**2. Factor v(r).
5*(r - 3)**2*(r - 1)
Let f = 1/28 - -107/140. What is c in 6*c**2 + 14/5*c**4 - f - 2/5*c - 38/5*c**3 = 0?
-2/7, 1
Let d = -5/42 - -2/7. Let t(n) be the third derivative of -2/3*n**3 - 1/60*n**5 + d*n**4 + 2*n**2 + 0 + 0*n. Find z, given that t(z) = 0.
2
Factor -2*l**2 + l**2 + 0*l + 4*l - 3*l.
-l*(l - 1)
Let x(y) = y**2 - 2*y + 3. Let h be x(4). Let a = h - 7. Suppose 0 + 9/4*u**3 + 1/2*u**2 + 7/4*u**a + 0*u = 0. What is u?
-1, -2/7, 0
Let q be (-6)/15*(-4 - -3). Determine m so that -q*m + 4/5*m**2 + 0 - 2/5*m**3 = 0.
0, 1
Let o(c) be the third derivative of c**7/210 - c**6/40 + c**5/20 - c**4/24 - 6*c**2. Suppose o(x) = 0. Calculate x.
0, 1
Factor -25/4 + 5/2*s - 1/4*s**2.
-(s - 5)**2/4
Determine q, given that 1/6*q**3 + 0 - 1/2*q**2 + 1/3*q = 0.
0, 1, 2
Let u(y) be the third derivative of -7*y**2 + 0*y - 1/12*y**4 + 1/2*y**3 - 1/60*y**5 + 0. Factor u(v).
-(v - 1)*(v + 3)
Let k(v) be the second derivative of -v**7/42 + v**6/10 + v**5/20 - v**4/4 - 12*v. What is r in k(r) = 0?
-1, 0, 1, 3
Suppose -5*a - 32 = -z - 2, a = 5*z - 30. Factor 