q) + 6*n(q). Determine k so that o(k) = 0.
-2, -1, 1
Let n(d) = -16*d**4 + 34*d**3 - 26*d**2 + 14*d + 14. Let v(y) = -y**3 + y**2 + y + 1. Let j(f) = n(f) - 10*v(f). Solve j(a) = 0.
-1/4, 1
Let a(v) = -v**3 - v. Let m be a(-1). Factor -9*t**3 + 9*t**3 + m*t**4 + t**5.
t**4*(t + 2)
Let y(i) be the third derivative of -49*i**6/360 + 7*i**5/60 + i**4/3 + 2*i**3/9 + 5*i**2. Factor y(h).
-(h - 1)*(7*h + 2)**2/3
Suppose 14 = b - 3*o, 5*b = 2*b + 4*o + 22. Factor -4*l + 5*l + 0*l**2 - l**b.
-l*(l - 1)
Let k(d) = d**3 - 6*d**2 - 7*d + 2. Let n be k(7). Suppose -6*h**5 + 180*h**n + 66*h**5 - 2*h**4 + 281*h**4 + 545*h**3 - 143*h**3 + 24*h = 0. What is h?
-2, -2/5, -1/4, 0
Let b(a) be the first derivative of -a**9/6048 - a**8/840 - a**7/280 - a**6/180 - a**5/240 + a**3 - 3. Let q(x) be the third derivative of b(x). Factor q(t).
-t*(t + 1)**4/2
Let y(d) = 15*d**4 + 20*d**3 + 3*d**2 - 10*d + 4. Let w(j) = -15*j**4 - 19*j**3 - 3*j**2 + 11*j - 5. Let i(l) = 4*w(l) + 5*y(l). What is n in i(n) = 0?
-1, 0, 2/5
Let i(y) be the first derivative of 2 - 2/15*y**3 - 2/5*y**2 - 2/5*y. Factor i(h).
-2*(h + 1)**2/5
Let b = 0 - -3. Factor 4*r**4 + 5*r - b*r - 3*r**2 + 0*r**4 - 3*r**4.
r*(r - 1)**2*(r + 2)
Let r be 123/30 + 14/(-4). Factor -1/5*h - 3/5*h**2 - r*h**3 - 1/5*h**4 + 0.
-h*(h + 1)**3/5
Let o(p) be the first derivative of p**4/4 + 2*p**3/3 + p**2/2 + 1. Suppose o(i) = 0. What is i?
-1, 0
Suppose 0 = 4*f + 5*r + 10, -f + 5*r = -0 - 10. Solve -2/9*s**4 + 4/9*s**2 + 0*s + f - 2/9*s**3 = 0.
-2, 0, 1
Let k(c) be the first derivative of -2*c**6/3 - 8*c**5/5 + 8*c**3/3 + 2*c**2 + 3. What is x in k(x) = 0?
-1, 0, 1
Let d(i) = i**2 + 2*i - 1. Let u be d(-3). Let n be (-2)/(-6)*0/1. Solve 2/5*c**4 + 0*c - 2/5*c**u - 2/5*c**5 + 2/5*c**3 + n = 0.
-1, 0, 1
Let q = 3 + 0. Factor w**2 - w**3 + 2*w**q - 2*w**2.
w**2*(w - 1)
Suppose 4*n + 89 + 75 = 0. Let u = 124/3 + n. Factor s**2 + u + s + 1/3*s**3.
(s + 1)**3/3
Let y = -13183/32 + 412. Let a(t) be the third derivative of 0 - 2*t**2 + 1/12*t**3 + y*t**4 + 1/240*t**5 + 0*t. Let a(s) = 0. What is s?
-2, -1
Let s(g) be the third derivative of 0 + 1/96*g**4 - 1/480*g**6 + 3*g**2 + 0*g**5 + 0*g + 0*g**3. Determine c so that s(c) = 0.
-1, 0, 1
Factor -3/4*t**4 - 15/4*t**3 - 9/4*t**2 + 0 + 3/4*t**5 + 0*t.
3*t**2*(t - 3)*(t + 1)**2/4
Let l = 528 + -3690/7. What is u in -l*u**2 + 10/7*u + 4/7 = 0?
-1/3, 2
Let q be (-14)/(-21) + 4/(-9). Let z = -1/34 - -77/306. What is b in -q*b + z*b**2 - 4/9 = 0?
-1, 2
Let r(q) be the first derivative of 0*q**4 - 6*q**2 + 8*q + 0*q**4 + q**4 + 1. Find j such that r(j) = 0.
-2, 1
Determine p, given that 3/5*p**2 + 0*p + 0 = 0.
0
Let g(p) be the third derivative of -p**8/672 - p**7/140 - p**6/80 - p**5/120 - 4*p**2. Suppose g(d) = 0. What is d?
-1, 0
Let s(a) be the first derivative of -2*a**5/5 + 7*a**4/9 - 19*a**3/36 + a**2/6 + 2*a - 2. Let d(l) be the first derivative of s(l). Factor d(r).
-(3*r - 2)*(4*r - 1)**2/6
Let j(r) be the first derivative of -r**5/30 - r**4/6 - r**3/3 - r**2/3 - r/6 - 9. Determine w, given that j(w) = 0.
-1
Let i be ((-21)/(-14))/(2/(-8)). Let n = i - -8. Solve n*r**2 + 2*r**2 - 2*r**3 + 2*r + 4*r**3 = 0 for r.
-1, 0
Let j(q) be the first derivative of -q**9/3024 + q**8/840 - q**7/840 - q**3/3 + 2. Let w(m) be the third derivative of j(m). Factor w(g).
-g**3*(g - 1)**2
Let j(n) be the second derivative of 5*n**4/6 - 2*n**3 - 8*n**2 - 14*n. Factor j(x).
2*(x - 2)*(5*x + 4)
Let y be ((-30)/90)/(1/(-6)*5). Factor -8/5*m - y*m**2 - 6/5.
-2*(m + 1)*(m + 3)/5
Suppose -5*k + 27 = -13. Suppose -3*a = a - k. Find b, given that -10*b**a - 8/5 + 8*b = 0.
2/5
Let k(p) be the first derivative of p**7/210 + p**6/120 + 3*p**2/2 + 3. Let d(c) be the second derivative of k(c). Factor d(l).
l**3*(l + 1)
Let z be 7 - 3/((-3)/(-2)). Let n(w) = 3*w**3 + 7*w**2 - 3*w + 3. Let g(x) = 2*x**3 + 6*x**2 - 2*x + 2. Let u(d) = z*g(d) - 4*n(d). Let u(b) = 0. Calculate b.
-1, 1
Let w(h) be the first derivative of h**6/60 + h**5/30 - 2*h**3 - 3. Let l(y) be the third derivative of w(y). Determine v so that l(v) = 0.
-2/3, 0
Suppose -4*h + 10 = h. Let w be ((-4)/6)/(h/(-6)). Factor 0*t - 2/5*t**5 + 0 + 8/5*t**4 - 2*t**3 + 4/5*t**w.
-2*t**2*(t - 2)*(t - 1)**2/5
Let p(w) = 2*w**2 - 4*w + 3. Let r be p(2). Solve -h**r + 0*h**4 + h**4 - 3*h**4 - h**5 = 0 for h.
-1, 0
Let f(r) be the first derivative of -r**5/40 - r**4/4 - 3*r**3/4 + 5*r - 5. Let q(n) be the first derivative of f(n). Factor q(u).
-u*(u + 3)**2/2
Let f(h) = -2*h**2 + 18*h - 16. Let u(a) = 2*a**2 - 17*a + 15. Let d(s) = -5*f(s) - 4*u(s). Solve d(m) = 0 for m.
1, 10
Let h(m) = m**2 + 20. Let a be h(0). Suppose -x + 5*x - a = 0. Factor 6/7*g**4 - 2/7*g**x + 0*g + 0 - 6/7*g**3 + 2/7*g**2.
-2*g**2*(g - 1)**3/7
Suppose -a = -6*a - 160. Let w be 9/(-6)*a/12. Factor -1/2*l**w - 1/2*l**5 + 1/2*l**3 + 0*l + 1/2*l**2 + 0.
-l**2*(l - 1)*(l + 1)**2/2
Let d(b) be the third derivative of b**9/60480 - b**8/10080 + b**7/5040 + b**5/60 - 3*b**2. Let n(q) be the third derivative of d(q). Find r such that n(r) = 0.
0, 1
Factor -3*l**2 + 1 - l**3 + 0*l**2 - 3*l + 7*l**2 - l**2.
-(l - 1)**3
Let a = 4/87 + 133/261. Let j(c) be the first derivative of 0*c + 1/4*c**4 - 2 + 1/3*c**2 + a*c**3. Factor j(r).
r*(r + 1)*(3*r + 2)/3
Let k(s) = -13*s + 80. Let p be k(6). Solve 1/2*b**p + 1 + 3/2*b = 0 for b.
-2, -1
Let x(h) = h**2 + 9*h - 7. Let q be x(-10). Determine c so that -4/7*c + 2/7*c**2 + 4/7*c**q + 0 - 2/7*c**4 = 0.
-1, 0, 1, 2
Let g(c) = -3*c + 1. Let o be g(-1). Let y be (1 + 3/(-5))*5. Find h, given that h**o - h + 11*h**3 - 2*h**2 - 14*h**3 + 5*h**y = 0.
0, 1
Let d = 137 + -681/5. What is j in -d*j**2 + 0*j + 2/5*j**3 + 0 = 0?
0, 2
Let j be 4/6 - 20/90. Solve -2/9*c**2 + 2/9*c**4 - j*c**3 + 4/9*c + 0 = 0.
-1, 0, 1, 2
Let u(r) = 2*r**4 - 15*r**3 - 3*r**2 + 17*r - 3. Let d(z) = -15*z**4 + 105*z**3 + 20*z**2 - 120*z + 20. Let p(x) = 3*d(x) + 20*u(x). Factor p(g).
-5*g*(g - 2)**2*(g + 1)
Suppose -2 = q - 4. Factor 2*y**3 - 3*y**4 - q*y**3 + 6*y**2 - 3.
-3*(y - 1)**2*(y + 1)**2
Let b(q) be the first derivative of 0*q + 4 + 0*q**2 - 2/3*q**3 - 1/2*q**4. What is w in b(w) = 0?
-1, 0
Suppose -10 + 1 = -3*v. Let m be v - (-4 - -4)/1. Factor -2/7*u**m - 6/7*u + 2/7 + 6/7*u**2.
-2*(u - 1)**3/7
Let g(b) = b + 8. Suppose 24 = -4*h + 3*p, -5*p = -5*h - 10*p - 30. Let a be g(h). Determine n, given that -3*n**4 + 0*n**3 - n**3 + a*n**4 = 0.
-1, 0
Factor 50/3*o**4 + 400/3*o**2 - 5/3*o**5 - 400/3*o - 200/3*o**3 + 160/3.
-5*(o - 2)**5/3
Let y(l) be the second derivative of l**7/231 + 2*l**6/165 - 3*l. Factor y(g).
2*g**4*(g + 2)/11
Let q(n) be the first derivative of n**5/10 + n**4/4 - 2*n**3/3 - 2*n**2 - 11. Factor q(z).
z*(z - 2)*(z + 2)**2/2
Let j(w) be the second derivative of w**7/98 - w**6/35 + w**4/14 - w**3/14 - 13*w. Factor j(n).
3*n*(n - 1)**3*(n + 1)/7
Let j(h) be the third derivative of -1/420*h**6 - 2/735*h**7 + 0*h**3 + 0*h**4 + 4*h**2 + 0*h + 0*h**5 + 0. Find d such that j(d) = 0.
-1/2, 0
Let m(q) be the third derivative of q**8/840 + q**7/420 - q**6/60 - q**5/60 + q**4/6 + 5*q**3/6 + 6*q**2. Let f(n) be the first derivative of m(n). Factor f(y).
2*(y - 1)**2*(y + 1)*(y + 2)
Determine t, given that -8/3*t**2 + 7/6*t**3 - 17/6*t + 1 = 0.
-1, 2/7, 3
Let x be (-80)/(-6) - 16/(-24). Suppose -5*y - 4*f - 3 + 14 = 0, 5*y + f - x = 0. Find d such that d**2 - d + 0 - 1/4*d**y = 0.
0, 2
Let p be (-14)/18 - (-8)/(-36). Let l(h) = h**4 + h. Let g(n) = n**3 + 0*n**3 + 0*n**3 - 5*n - 4*n**2. Let v(a) = p*g(a) - 4*l(a). Let v(c) = 0. Calculate c.
-1, -1/4, 0, 1
Let s(v) = 2*v**2 + 4*v - 2. Let t(c) = 6*c**2 - 3 + 5*c**2 - 10*c**2 - c**3 + 5*c. Let a(k) = 3*s(k) - 2*t(k). What is n in a(n) = 0?
-1, 0
Let h be (-58)/(-16) - (-15)/40. Factor -1/3*w**3 - 2/3 + 5/3*w - w**2 + 1/3*w**h.
(w - 1)**3*(w + 2)/3
Find z, given that -2*z**2 + 2 + z - 6 + z**3 + 4 = 0.
0, 1
Let w(q) be the third derivative of q**6/480 - q**5/240 - 17*q**2. Suppose w(r) = 0. Calculate r.
0, 1
Let a(g) = -g - 1. Let w be 14/(-3) - (-1)/(-3). Let c be a(w). What is h in 4*h**2 + 2*h**c - 4*h**2 = 0?
0
Let u be (-5)/3 - (-21 + 19). Suppose 0*a + 1/3*a**4 - u*a**2 + 1/3*a**5 + 0 - 1/3*a**3 = 0. Calculate a.
-1, 0, 1
Factor -2*l**4 + 2*l**3 + 10*l**2 - l**2 - 5*l**2 - 2*l**5 - 2*l**2.
-2*l**2*(l - 1)*(l + 1)**2
