rivative of -7*p**8/16 - p**7 + 3*p**6/40 + p**5 - p**4/2 - 11*p**2. Find t, given that o(t) = 0.
-1, 0, 2/7
Let q(y) = 2*y**2 + 2*y. Let z(l) = 4*l**2 + 4*l - 1. Let m be (-2)/(-6) + 28/(-3). Let r = m - -5. Let k(a) = r*z(a) + 7*q(a). Factor k(d).
-2*(d - 1)*(d + 2)
Let a(p) = -p**4 - p**3 + p + 1. Let g(r) = 5*r**4 + 4*r**3 - 4*r - 4. Let h = 8 + -7. Let x(c) = h*g(c) + 4*a(c). What is d in x(d) = 0?
0
Find l such that -2/9*l**2 - 2 - 4/3*l = 0.
-3
Let x(a) = -9*a**4 + 18*a**3 - 36*a**2 + 30*a - 9. Let u(b) = -8*b**4 + 18*b**3 - 36*b**2 + 30*b - 9. Let s(w) = -6*u(w) + 5*x(w). Factor s(p).
3*(p - 3)*(p - 1)**3
Let p(z) be the third derivative of -z**7/2520 + z**6/540 - z**5/360 + 2*z**3/3 - 4*z**2. Let k(l) be the first derivative of p(l). Factor k(v).
-v*(v - 1)**2/3
What is y in 6*y**3 + 9/2*y**4 - 3/2*y**2 + 0 - 3*y = 0?
-1, 0, 2/3
Let f be 0/(-2)*(-3)/(-9). Factor -9*l + f + 0 - l**3 + 0 - 6*l**2.
-l*(l + 3)**2
Let t(k) be the first derivative of -2*k**3 + 1/2*k**6 + 6/5*k**5 + 0*k - 3/2*k**2 + 0*k**4 - 3. Let t(y) = 0. What is y?
-1, 0, 1
Suppose 0 = -3*n + 7 + 8. Let i(v) = 4*v**2 - 3*v - 7. Let s(l) = -l**2 + 1. Let x(h) = n*s(h) + i(h). Factor x(f).
-(f + 1)*(f + 2)
Factor -1/2*m**2 - 1/2*m + 1.
-(m - 1)*(m + 2)/2
Let n be (-1)/(-3) + 119/3. Let u be (n/(-4))/(-2*1). What is t in -3/2*t**u + 9/2*t - 3*t**3 + 9/2*t**4 - 3*t**2 - 3/2 = 0?
-1, 1
Let i(z) be the third derivative of 5*z**2 + 0*z + 0*z**3 + 1/30*z**5 + 0 + 0*z**4 - 1/60*z**6. Let i(c) = 0. What is c?
0, 1
Let c(v) be the second derivative of -2*v + 1/75*v**6 + 1/100*v**5 + 0 + 1/210*v**7 + 0*v**2 + 0*v**3 + 0*v**4. Solve c(u) = 0 for u.
-1, 0
Let x(w) = -8*w**4 - 6*w**3 + 11*w + 8. Let q(z) = 7*z**4 + 6*z**3 - 10*z - 7. Let h(d) = 5*q(d) + 4*x(d). Factor h(c).
3*(c - 1)*(c + 1)**3
Suppose -5*c - 4 = -4*c + 4*i, 4*i = -4*c + 8. Let j(x) be the first derivative of -3*x + x**2 - 1/9*x**3 + c. Solve j(r) = 0 for r.
3
Suppose -10*f + 14*f - 3*h - 8 = 0, 4*h = 0. Let u(j) be the first derivative of 0*j + 1/3*j**3 + 0*j**f + 2 + 1/18*j**6 + 1/15*j**5 - 5/12*j**4. Factor u(q).
q**2*(q - 1)**2*(q + 3)/3
Determine b so that -11/3*b**2 + b**3 + 0*b + 4/3 - b**5 + 7/3*b**4 = 0.
-1, -2/3, 1, 2
Let h(l) be the second derivative of l**8/9240 + l**7/1540 + l**6/990 - 2*l**3/3 - l. Let w(m) be the second derivative of h(m). Factor w(j).
2*j**2*(j + 1)*(j + 2)/11
Factor -2/11 - 4/11*g - 2/11*g**2.
-2*(g + 1)**2/11
Let i(d) = -d**3 + 10*d**2 + 3. Let m be i(10). Solve 2*s**5 + 14*s**m + s**5 - 2*s**3 - 12*s**4 = 0 for s.
0, 2
Suppose 0*h = -2*h. Factor 1/4*o**3 + h - 1/4*o - 1/4*o**4 + 1/4*o**2.
-o*(o - 1)**2*(o + 1)/4
Factor 3/4*f**3 + 0 + 0*f - 3/4*f**2.
3*f**2*(f - 1)/4
Let a(q) = 3*q**2 + q. Let s(t) = t**2 + t + 1. Let v(r) = 3*a(r) - 6*s(r). Factor v(c).
3*(c - 2)*(c + 1)
Suppose -2/5*v**2 + 28/5*v - 98/5 = 0. What is v?
7
Let s be 8/10 - 71/90. Let u(i) be the second derivative of 0*i**2 + 2*i + s*i**6 + 1/36*i**4 + 1/30*i**5 + 0*i**3 + 0. What is r in u(r) = 0?
-1, 0
Determine t so that -125/4 - 15/4*t**2 + 75/4*t + 1/4*t**3 = 0.
5
Suppose p = 2*p - 4. Let t(f) be the second derivative of 0 + 1/9*f**3 - 1/3*f**2 - 2*f - 1/30*f**5 + 1/18*f**p. Solve t(d) = 0.
-1, 1
Let l(q) = q**2 - 10*q - 17. Let v(s) = 6*s**2 - 69*s - 120. Let u(x) = 15*l(x) - 2*v(x). Factor u(o).
3*(o - 5)*(o + 1)
Let s(i) = i**3 + 1. Let q(u) = 49*u**4 + 163*u**3 + 39*u**2 - 68*u + 7. Let x(b) = q(b) + 5*s(b). Determine v so that x(v) = 0.
-3, -1, 2/7
Suppose -7*o = -2*o - r - 5, -3 = -3*o - r. Factor -1 - 2*p**2 + o - p**3 + 4*p**3.
p**2*(3*p - 2)
Suppose 3*v = 2*v - 4. Let t(y) = 7*y**3 + 3*y**2 - 7*y + 2. Let x(j) = -6*j**3 - 2*j**2 + 6*j - 2. Let m(q) = v*t(q) - 5*x(q). Factor m(z).
2*(z - 1)**2*(z + 1)
Let p(w) be the second derivative of -1/4*w**2 + 4*w + 0 + 1/48*w**4 - 1/24*w**3. Determine u, given that p(u) = 0.
-1, 2
Let l = -598/5 - -120. Find p such that 4/5*p - 26/5*p**4 - 18/5*p**3 - 2*p**5 + l*p**2 + 0 = 0.
-1, 0, 2/5
Solve 23*w - 34*w**3 - 80*w**2 - 31*w - 10 - 47*w - w**3 = 0 for w.
-1, -2/7
Let x = -37 - -39. Let s(v) be the first derivative of 1/3*v**3 - 3/2*v**2 + x*v + 3. Factor s(u).
(u - 2)*(u - 1)
Let n(l) be the second derivative of -l**8/6720 - l**7/2520 + l**6/720 + l**5/120 - l**4/3 - 4*l. Let c(u) be the third derivative of n(u). Factor c(h).
-(h - 1)*(h + 1)**2
Let y(u) be the third derivative of -u**8/1008 + u**7/630 + u**6/120 - u**5/180 - u**4/36 - 18*u**2. Let y(b) = 0. What is b?
-1, 0, 1, 2
Let y(w) = -w**2 + 7. Let p(g) be the first derivative of g**3/3 - 4*g + 5. Let l(n) = 7*p(n) + 4*y(n). Factor l(i).
3*i**2
Let w(j) = 2*j**2 + 52*j + 333. Let g(n) = 2*n**2 + 52*n + 332. Let o(d) = -5*g(d) + 6*w(d). Factor o(u).
2*(u + 13)**2
Let p be ((-4)/10)/((-12)/60). Let -8*z**2 - 2*z**3 + 3*z**2 + 7*z**p - 8*z**4 - 4*z**3 = 0. What is z?
-1, 0, 1/4
Let o(u) be the second derivative of -1/27*u**4 - 4*u + 1/90*u**5 + 0 + 1/135*u**6 + 0*u**3 + 0*u**2. Solve o(j) = 0 for j.
-2, 0, 1
Let a be (-1)/(-2)*(3 + 1). Find j such that 8*j**2 + 5*j + a - 6*j**2 - j = 0.
-1
Suppose 5*n + 233 = -192. Let d = -509/6 - n. Factor 1/2*h + 1/2*h**4 - 1/3*h**2 - d*h**5 - 1/3*h**3 - 1/6.
-(h - 1)**4*(h + 1)/6
Solve -8*u + 11*u**2 - 24*u**2 + 13*u**2 - 2*u**3 + 8*u**2 = 0 for u.
0, 2
Suppose -n - 5*y = -5, 2*n + 3*y + 0*y - 3 = 0. Factor -2/3 + 4/3*m**3 - 1/3*m**5 - m + n*m**4 + 2/3*m**2.
-(m - 2)*(m - 1)*(m + 1)**3/3
Let q = -3 - -6. Suppose q*i - 5*i = 0. Let 2/5*d**2 - 2/5*d**3 + i - 2/5*d**4 + 0*d + 2/5*d**5 = 0. What is d?
-1, 0, 1
Let o(p) = -3*p**4 - 9*p**3 - 6*p**2. Let x be (-2 + -7)*(-2)/(-6). Let b(s) = 3*s**4 + 9*s**3 + 7*s**2 + s. Let j(q) = x*b(q) - 2*o(q). Factor j(z).
-3*z*(z + 1)**3
Let m = 10/9 - 8/9. Let q(b) be the first derivative of 0*b - 2/3*b**2 + m*b**3 + 3. Factor q(i).
2*i*(i - 2)/3
Let j(c) be the second derivative of c**4/18 + 4*c**3 + 108*c**2 - 10*c + 1. Suppose j(f) = 0. Calculate f.
-18
Suppose -c - 5*c = 0. Let t(j) be the second derivative of 1/120*j**6 + c*j**3 + 2*j + 1/40*j**5 + 0 + 0*j**2 + 1/48*j**4. Factor t(i).
i**2*(i + 1)**2/4
Let z = -170 + 172. Find r such that 2/19*r**3 + 6/19*r**z - 2/19*r - 4/19 - 2/19*r**4 = 0.
-1, 1, 2
Let y be 0 + 8/(4/1). Let a(t) be the third derivative of 0*t**6 + 1/1050*t**7 + 0 + 0*t + 2*t**y + 0*t**4 + 0*t**5 + 0*t**3. Factor a(d).
d**4/5
Let s(i) be the first derivative of -5*i**3/3 - 5*i**2/2 + 10*i - 17. Suppose s(d) = 0. Calculate d.
-2, 1
Let f(w) be the first derivative of w**4/12 - 11*w**3/9 + 5*w**2/3 + 52. Factor f(c).
c*(c - 10)*(c - 1)/3
Let n be 10711/396 + 2/(-8). Let l = -285/11 + n. Factor 8/9 + l*i + 2/9*i**2.
2*(i + 2)**2/9
Let u(o) be the second derivative of 5*o - 1/30*o**3 + 0*o**4 + 0*o**2 + 1/100*o**5 + 0. What is w in u(w) = 0?
-1, 0, 1
Let x(v) = -12*v**3 + 33*v**2 - 21. Let u be 3 + -7 + 3 - 0. Let m(s) = -s**3 + s**2 - s + 1. Let a(p) = u*x(p) - 15*m(p). Factor a(l).
3*(l - 1)**2*(9*l + 2)
Let l(q) = -17*q**3 + 1. Let o be l(-1). Let p be (-1)/(-2) + (-3)/o. Factor 1/3*s**5 + 2/3*s**4 + 0*s**3 - p*s + 0 - 2/3*s**2.
s*(s - 1)*(s + 1)**3/3
Solve 24/5*t + 44/5*t**4 + 6/5*t**5 + 314/15*t**3 + 88/5*t**2 + 0 = 0 for t.
-3, -2/3, 0
Suppose 2*d + 4 = -2*w, 0 = 4*d - 0*w + 2*w + 4. Determine h, given that 4*h**3 - h**3 - 3*h**5 + d*h**3 = 0.
-1, 0, 1
Let i(f) be the second derivative of f**8/4200 - f**6/900 + f**3/3 - 4*f. Let d(l) be the second derivative of i(l). Let d(j) = 0. What is j?
-1, 0, 1
Let b(j) be the first derivative of 4*j**5/5 + 3*j**4 + 4*j**3/3 - 6*j**2 - 8*j + 48. Find n, given that b(n) = 0.
-2, -1, 1
Let b(r) be the first derivative of -4/7*r - 2/3*r**3 - 9/7*r**2 + 5. Factor b(m).
-2*(m + 1)*(7*m + 2)/7
Let g(u) be the third derivative of u**5/240 + u**4/96 - u**3/12 + 6*u**2. Determine a, given that g(a) = 0.
-2, 1
Let t(i) = 3*i**4 + 3*i**3 + 3*i**2 - 3*i. Let s(x) = -x**5 + 2*x**4 + 3*x**3 + 2*x**2 - 2*x. Suppose 0 = p - 9 + 7. Let u(l) = p*t(l) - 3*s(l). Factor u(b).
3*b**3*(b - 1)*(b + 1)
Let n be (-3 - -4)*(-1 - 2). Let k be 5/(3*n/(-9)). Find a such that a**k - 7*a + 5*a**3 + a**2 + 7*a + 7*a**4 + 2*a**5 = 0.
-1, -1/3, 0
Let x(r) be the third derivative of -9*r**6/200 + 27*r**5/50 + 61*r**4/40 + 7*r**3/5 - 14*r**2. Determine y so that x(y) = 0.
-2/3, -1/3, 7
Find f such that -f - 2/