*p**5 + 5*p**4 - 3*p**3 - 3*p + 3. Let w(l) = 7*l**5 + 9*l**4 - 5*l**3 - 5*l + 5. Let i(m) = 5*g(m) - 3*w(m). Factor i(h).
-h**4*(h + 2)
Suppose -8*o + 3*o + 4*c = -12, -3*c = 5*o - 26. Determine n so that 0 + 0*n**o + 0*n + 0*n**2 - 2/5*n**5 + 2/5*n**3 = 0.
-1, 0, 1
Let g(i) be the second derivative of -i**7/3780 + i**6/810 - i**5/540 + 5*i**3/6 + 5*i. Let d(n) be the second derivative of g(n). Factor d(y).
-2*y*(y - 1)**2/9
Let g(q) be the first derivative of -3 - 3*q**3 - 3/4*q**4 - 9/2*q**2 - 3*q. Factor g(a).
-3*(a + 1)**3
Suppose -2*i + 2 = -32. Suppose 5*j - 4*j - i = -2*c, c + 8 = j. Factor 0 - 9*h**2 + j*h**2 + 0 + 4*h.
2*h*(h + 2)
Factor 2/7 + 15/7*m**2 - 17/7*m.
(m - 1)*(15*m - 2)/7
Let f(q) = -8*q**5 - 20*q**4 - 36*q**3 + 20*q**2 + 32*q. Let k(u) = -15*u**5 - 41*u**4 - 71*u**3 + 41*u**2 + 65*u. Let s(v) = 7*f(v) - 4*k(v). Factor s(b).
4*b*(b - 1)*(b + 1)*(b + 3)**2
Let i(c) be the third derivative of c**5/100 + c**4/5 + 7*c**3/10 - 42*c**2. Factor i(a).
3*(a + 1)*(a + 7)/5
Suppose 3*v - 26 = -2*v - 4*b, -b = 4*v - 12. Factor -v*u**3 - 2*u**4 + 3*u**2 + 0*u**3 + 0*u + 2*u - u**2.
-2*u*(u - 1)*(u + 1)**2
Suppose 0*u - 2*u - 4*f = 88, 0 = u - 2*f + 28. Let r = u + 39. Factor -6/11*h - 2/11 - 4/11*h**2 + 4/11*h**r + 6/11*h**4 + 2/11*h**5.
2*(h - 1)*(h + 1)**4/11
Let s(x) = 4*x + 1. Let w be s(1). Let j(z) be the second derivative of 3/80*z**w + 0*z**2 + 1/12*z**4 + 3*z + 1/24*z**3 + 0. Factor j(m).
m*(m + 1)*(3*m + 1)/4
Let d(k) = -k. Let u(s) = -2*s**2 - 10*s. Let n(t) = -4*d(t) + u(t). Factor n(g).
-2*g*(g + 3)
Let z(m) = m**3 + 10*m**2 + 6*m. Let o(f) = f**2. Let n(u) = -3*o(u) + z(u). Factor n(i).
i*(i + 1)*(i + 6)
Determine j, given that -8/5*j + 2/5*j**2 - 2 = 0.
-1, 5
Let f be (8/(-3))/((-1)/(-3)). Let b be f/4 + (-32)/(-10). Factor -b*d**2 + 2/5*d**3 - 2/5 + 6/5*d.
2*(d - 1)**3/5
Let w(n) be the second derivative of 2*n + 9/20*n**5 - 1/4*n**4 + 0*n**2 + 0 + 1/14*n**7 + 0*n**3 - 3/10*n**6. What is d in w(d) = 0?
0, 1
Let o(w) be the first derivative of -w**3/9 + 7*w**2/6 - 2*w - 14. Solve o(p) = 0.
1, 6
Suppose -14*m**5 + 10*m - 23*m + 10*m**2 - 10*m**4 + 18*m**3 + 9*m = 0. Calculate m.
-1, 0, 2/7, 1
Let o(s) be the third derivative of -s**7/210 + s**6/60 - s**5/60 + 4*s**2. Factor o(m).
-m**2*(m - 1)**2
Let c = -1799 - -32363/18. Let r = c + 14/9. Let -1/2*x - r*x**2 + 0 = 0. What is x?
-1, 0
Let n(o) be the third derivative of -5/231*o**7 - 16/33*o**3 + o**2 - 4/55*o**5 + 0*o + 0 + 4/33*o**6 - 16/33*o**4. Find d, given that n(d) = 0.
-2/5, 2
Let m(b) be the second derivative of -b**6/30 + b**5/10 - b**3/3 + b**2/2 + 27*b. Factor m(z).
-(z - 1)**3*(z + 1)
Let r(b) be the first derivative of 1/10*b**5 + 1 - 1/2*b**3 + 0*b + 1/2*b**2 + 0*b**4. Factor r(z).
z*(z - 1)**2*(z + 2)/2
Let u(j) = -2*j**3 - j**2 - 3*j + 3. Let n(a) = -2*a**3 - 2*a + 2. Let s(l) = -3*n(l) + 2*u(l). Find w, given that s(w) = 0.
0, 1
Let l be -4 + -3 + (-2 - -15). Let a be (l/(-4))/(21/(-28)). Suppose 0*y - 2/7*y**3 - 2/7*y**a + 0 = 0. Calculate y.
-1, 0
Let x be ((-3)/180)/(9/6 + -2). Let s(a) be the first derivative of 3/10*a**2 + 3 - 3/25*a**5 - x*a**6 + 1/5*a + 2/15*a**3 - 1/10*a**4. What is n in s(n) = 0?
-1, 1
Let n = 13 - 13. Solve 0 + n*t**2 + 12/7*t - 9/7*t**3 + 3/7*t**4 = 0.
-1, 0, 2
Let n be ((-16)/(-10))/(2/5). Suppose -2 = 4*t + 4*y + 6, 3*t + y = n. Find z such that 2/3*z**2 - 2/3 - 2/3*z**t + 2/3*z = 0.
-1, 1
Let o(a) = 3*a**3 + 8*a. Let c(r) be the second derivative of -1/2*r**3 + 2*r + 0*r**2 + 0 - 1/20*r**5 + 0*r**4. Let i(m) = 11*c(m) + 4*o(m). Factor i(j).
j*(j - 1)*(j + 1)
Suppose -12*s - 2*s**2 - 10*s**2 - 4*s**3 - 6 + 3 - 1 = 0. What is s?
-1
Let s(z) be the second derivative of 1/3*z**4 + 0*z**3 + 11/10*z**5 + 0*z**2 + 13/15*z**6 + 4/21*z**7 + 4*z + 0. Determine r, given that s(r) = 0.
-2, -1, -1/4, 0
Let m = -69532/7 + 9956. Find k such that -80/7*k**3 - m*k + 160/7*k**2 - 2/7*k**5 + 64/7 + 20/7*k**4 = 0.
2
Let r(g) be the first derivative of -g**5/10 + 2*g**4/3 - 5*g**3/3 + 2*g**2 - 3*g + 1. Let t(h) be the first derivative of r(h). Let t(j) = 0. Calculate j.
1, 2
Let a(p) be the first derivative of -p**4/10 + 2*p**3/5 - 2*p**2/5 - 5. Factor a(h).
-2*h*(h - 2)*(h - 1)/5
Suppose -7*f + 3*f - 16 = 0. Let k(x) = -x - 1. Let j(c) = -20*c**5 - 23*c**4 - c**3 + 2*c**2 + 4*c + 4. Let a(p) = f*k(p) - j(p). Find g such that a(g) = 0.
-1, -2/5, 0, 1/4
Let s(b) be the second derivative of -7*b**4/3 - 6*b**3 - 4*b**2 - 18*b. Solve s(w) = 0 for w.
-1, -2/7
Let r(s) = -s**2 - 7*s + 8. Let k(c) = 2*c**2 + 18*c - 20. Let z(f) = 5*k(f) + 12*r(f). Determine p, given that z(p) = 0.
1, 2
Suppose 2*b = 5*a - 16, 0 = 5*a + 5*b + 6 - 1. Suppose 4 - 10 = -3*h. Find t, given that -4*t**a + 6*t**3 - 2*t**4 + 2*t - 2*t**h + 0*t**2 = 0.
0, 1
Factor 0*x + 2/3*x**3 - 2/3*x**5 - 2/3*x**2 + 0 + 2/3*x**4.
-2*x**2*(x - 1)**2*(x + 1)/3
Factor -3/2*y - 1/2*y**2 + 0.
-y*(y + 3)/2
Let 9*q**3 - 15*q**3 + 9*q**3 - 3*q**4 = 0. Calculate q.
0, 1
Let y(a) be the first derivative of 5*a**3/3 + 10*a**2 + 15*a + 40. Factor y(d).
5*(d + 1)*(d + 3)
Suppose 4*x + u = 46 - 48, 3*x + 2*u = -4. Suppose 0 = -4*d + 2*d. What is i in 0 + d*i + 0*i**2 + 2/13*i**4 + x*i**3 = 0?
0
Let i = 2 - 0. Let d(g) = 3*g**2 - 3*g - 4*g**2 + 7 - g. Let a(r) = 4*r**2 + 11*r - 20. Let j(u) = i*a(u) + 7*d(u). Factor j(f).
(f - 3)**2
Let g(o) = o**3 - 4*o**2 + 6*o - 22. Let z be g(4). Let -2/9*x**z - 2/9*x**3 + 2/9*x**4 + 2/9*x + 0 = 0. Calculate x.
-1, 0, 1
Suppose 0 = 2*v - 17 + 9. Factor 10/7*p**v + 4/7 + 34/7*p**3 + 6*p**2 + 22/7*p.
2*(p + 1)**3*(5*p + 2)/7
Let b be (3/(-42))/(2/(-7)). Let 0 + 0*p + b*p**3 + 1/4*p**2 = 0. Calculate p.
-1, 0
Let c be 6/9 + (-4)/24. Suppose -4*z + 29 = 3*t, -2*t = -5*z + 2*z + 9. Factor c*d**t - 1/2*d + 0*d**2 + 0.
d*(d - 1)*(d + 1)/2
Let t be (3 - 13/4)*-4 - -3. Find i such that 0 + 6/7*i**2 + 2/7*i**t - 6/7*i**3 - 2/7*i = 0.
0, 1
Let v be 20/42 + (-18)/(-27). Factor -v*r + 8/7 + 2/7*r**2.
2*(r - 2)**2/7
Let o(i) be the second derivative of -i**8/3360 + i**7/840 - i**6/720 + i**3/3 - 6*i. Let d(s) be the second derivative of o(s). Find l such that d(l) = 0.
0, 1
Solve 0 - 14/13*y**3 + 6/13*y + 4/13*y**4 + 4/13*y**2 = 0 for y.
-1/2, 0, 1, 3
Let d(q) = -q**3 + 2*q**2 + 5*q - 4. Let w be d(3). Suppose 2*p + w*p - 12 = 0. Factor 3 + 27*f**3 + 2*f**2 - 15*f - p*f**2 + 10*f**2.
3*(f + 1)*(3*f - 1)**2
Let d be 8 - 276/18 - -9. What is u in -7/6*u - 1/6 + 11/6*u**4 + 5/6*u**5 + 1/3*u**3 - d*u**2 = 0?
-1, -1/5, 1
Let o(l) be the third derivative of -l**8/10080 - l**7/1260 - l**6/540 - l**4/12 + l**2. Let a(v) be the second derivative of o(v). Find q such that a(q) = 0.
-2, -1, 0
Let h = 1891/7 + -270. Find b, given that -2/7*b**2 + 0*b**3 + 2/7*b**4 + 0 + h*b**5 - 1/7*b = 0.
-1, 0, 1
Let d be (5/2)/(6/(-12)). Let r(g) = g**2 + g + 1. Suppose -2*h + 4 = -6*h. Let j(f) = -6*f**2 - 4*f - 5. Let w(c) = d*r(c) + h*j(c). Factor w(t).
t*(t - 1)
Let d be (-5)/8*-1*(-16 - -18). Let 2*f + 1/4*f**3 + 1 + d*f**2 = 0. What is f?
-2, -1
Let m(k) be the third derivative of -3*k**7/35 + 5*k**6/12 - 7*k**5/10 + k**4/4 + 2*k**3/3 + 7*k**2. Factor m(v).
-2*(v - 1)**3*(9*v + 2)
Let s(h) = 2*h**3 - 16*h**2 + 7*h + 7. Let v(w) = w**3 - 11*w**2 + 5*w + 5. Let l(j) = 5*s(j) - 7*v(j). Solve l(g) = 0 for g.
0, 1
Let v = -4 + 8. Determine l so that 5*l**2 + 4*l**3 - l**3 + 2*l**3 - l**v - 13*l**2 + 4*l = 0.
0, 1, 2
Let m be (3/(-12))/(4/(-64)). Let l(u) be the third derivative of 0*u - 4/9*u**3 + 1/30*u**5 + m*u**2 + 1/180*u**6 + 0*u**4 + 0. Let l(f) = 0. What is f?
-2, 1
Let o(n) = -50*n**2 + 34*n. Let u(h) = 10*h**2 - 7*h. Let q(d) = 6*o(d) + 28*u(d). Factor q(j).
-4*j*(5*j - 2)
Let b be 84/(-18) + 5 + (-2)/(-30). Let p be ((-8)/(-30))/(6/9). Factor 0 + b*k**2 + p*k.
2*k*(k + 1)/5
Let w be (-3)/6 + (-10)/(-4). Suppose -6*t = -w*t - 8. Suppose 0 - o**4 + 2*o**3 + 1/4*o - 5/4*o**t = 0. Calculate o.
0, 1/2, 1
Let l be 3 - (-1 + 0)*11. Let b be ((-39)/l)/(6/(-16)). Factor -4*h**4 - 48/7*h**2 - 4/7 - 6/7*h**5 - b*h**3 - 22/7*h.
-2*(h + 1)**4*(3*h + 2)/7
Let a(g) = -6*g**2 + 8*g + 12. Let b(l) = -7*l**2 + 8*l + 12. Let d(u) = -3*a(u) + 2*b(u). Suppose d(q) = 0. Calculate q.
-1, 3
Let j(c) be the first derivative of c**7/210 + c**6/72 + c**5/180 - c**4/72 - 2*c**2 - 1. Let x(i) be the second derivative 