 + 7. Let d(x) be the third derivative of n(x). Factor d(t).
2*t*(t + 3)**3
Let q = -30 + 91/3. Let t be (-6)/30 - (-52)/10. What is o in 2/3*o**3 - q*o + 0*o**4 - 1/3*o**t + 0*o**2 + 0 = 0?
-1, 0, 1
Let y(b) = b - 2*b + 7 - 2*b + 4*b. Let v be y(-7). Factor 4/7*s**3 - 2/7*s**2 + 0 + v*s - 2/7*s**4.
-2*s**2*(s - 1)**2/7
Let r(w) be the first derivative of 3 + 1/16*w**4 + 1/4*w**2 - 5/24*w**3 - w. Let b(m) be the first derivative of r(m). What is j in b(j) = 0?
2/3, 1
Let j be ((-6)/(-8) + -2)/(10 - 11). Factor 3/2*h**4 + 0*h - 1/4*h**2 + 0 + j*h**3.
h**2*(h + 1)*(6*h - 1)/4
Let a(p) = -p + 8. Let x be a(5). Suppose -4*k = 5*r + 13, 0 = -x*k + 3*r + 40 - 16. Factor 2/3*m - 2/3*m**k + 1/3 - 1/3*m**4 + 0*m**2.
-(m - 1)*(m + 1)**3/3
Let w be -2*(-4 - (-9)/3). Factor -1 + 1/2*l**w + 1/2*l.
(l - 1)*(l + 2)/2
Let z(v) be the second derivative of -v**4/36 - 2*v. Solve z(w) = 0 for w.
0
Let b(t) be the second derivative of -t**5/60 - t**4/36 + t**3/9 - 5*t. Determine s so that b(s) = 0.
-2, 0, 1
Let a(p) = 3*p**2 + 32*p + 77. Let s(v) = -3*v**2 - 33*v - 78. Let r(f) = 3*a(f) + 2*s(f). Factor r(m).
3*(m + 5)**2
Let q be 2 - (-2 + 2) - (-128)/(-72). Find a such that -32/9*a**4 + 80/9*a**3 - q - 22/3*a**2 + 20/9*a = 0.
1/4, 1
Let o = 688833/46 - 14974. Let k = -3/23 + o. What is a in -1/4*a**4 + 1/4 + 0*a**2 - 1/2*a + k*a**3 = 0?
-1, 1
Let w(a) be the third derivative of a**7/105 + a**6/15 + a**5/6 + a**4/6 - 38*a**2. Factor w(m).
2*m*(m + 1)**2*(m + 2)
Let d = 1148/209 + -111/22. Let x = d - -1/19. Factor x*m**3 + m + 3/2*m**2 + 0.
m*(m + 1)*(m + 2)/2
Let q(i) be the third derivative of i**5/70 - 17*i**4/84 - 2*i**3/7 - 30*i**2. Suppose q(v) = 0. What is v?
-1/3, 6
Let g(a) be the second derivative of a**7/126 - a**6/15 + 2*a**5/15 + a**4/6 - a**3/2 + 4*a. Factor g(d).
d*(d - 3)**2*(d - 1)*(d + 1)/3
Suppose -4*v + 2*v + 6 = 0. Solve 0*a - v - 5*a**2 + 2*a**2 + 6*a = 0 for a.
1
Let f(y) = 2*y**2 + 2*y - 18. Let n(h) = -2*h**2 + 17. Let g(i) = 5*f(i) + 6*n(i). Suppose g(z) = 0. What is z?
-1, 6
Suppose -2*m = -7*d + 5*d - 2, -11 = -2*m - d. Solve 2/7*w**m + 4/7*w**3 + 0 + 0*w + 2/7*w**2 = 0.
-1, 0
Solve -2/5*z**2 - 2 - 12/5*z = 0.
-5, -1
Let j(f) be the first derivative of -f**8/840 - f**7/420 + f**6/60 + f**5/12 + f**4/6 - 5*f**3/3 - 9. Let z(w) be the third derivative of j(w). Solve z(x) = 0.
-1, 2
Let a(k) be the first derivative of -k**7/168 - k**6/120 + k**5/80 + k**4/48 - k - 2. Let d(n) be the first derivative of a(n). Factor d(z).
-z**2*(z - 1)*(z + 1)**2/4
Let m(n) be the second derivative of -n**4/20 + n**3/5 - 3*n**2/10 - n. Suppose m(y) = 0. Calculate y.
1
Let v(i) be the third derivative of i**6/1080 - i**5/360 - i**4/36 + i**3/2 + i**2. Let x(j) be the first derivative of v(j). Suppose x(b) = 0. What is b?
-1, 2
Let f(z) be the third derivative of -2/105*z**7 + 2*z**2 + 0*z**4 - 2/15*z**6 + 0*z + 0 + 0*z**3 - 4/15*z**5. Factor f(o).
-4*o**2*(o + 2)**2
Let t = 45167 - 7452506/165. Let m = t - -2/55. Factor m*q**2 + q + 2/3.
(q + 1)*(q + 2)/3
Let h be -1 + (-2)/(-1) + 1. Factor 2*b**3 - 10*b**4 - b**3 - 2*b**3 + 3*b**3 + 2*b**h + 6*b**5.
2*b**2*(b - 1)**2*(3*b + 1)
Suppose 0 = f - 2*y - 10, f + 0*y = -y - 2. Let m be -15*(14/(-6) + f). Solve -j**3 - 5*j**2 - 2*j - 4*j**5 + m*j**4 + 7*j**5 + 0*j**3 = 0.
-1, -2/3, 0, 1
Let v be (-1)/3 - 20/(-6). Let s(c) be the third derivative of 0 + 2*c**2 - 1/840*c**8 - 1/60*c**4 + 0*c**7 + 0*c**v + 0*c + 0*c**5 + 1/150*c**6. Factor s(y).
-2*y*(y - 1)**2*(y + 1)**2/5
Let a(d) = -d**4 + d**3 + d**2 - 6*d + 5. Let t(r) = -r + 4 - 1 - 2. Let y(k) = -2*a(k) + 10*t(k). Factor y(u).
2*u*(u - 1)**2*(u + 1)
Determine q so that 0*q + 1/4 - 1/4*q**2 = 0.
-1, 1
Let p(l) be the third derivative of 0*l - 1/30*l**5 - 1/6*l**4 + 0*l**3 + 0 + l**2. Let p(v) = 0. Calculate v.
-2, 0
Let x(y) be the second derivative of 6*y**2 + 4*y + 1/4*y**4 + 0 + 2*y**3. Factor x(k).
3*(k + 2)**2
Let u(z) = -z**2 - z + 1. Let b(o) = -11*o**2 - 6*o + 6. Let f(j) = b(j) - 6*u(j). Factor f(a).
-5*a**2
Let r(v) be the third derivative of -1/30*v**3 - 2*v**2 + 0*v - 1/60*v**4 + 0 - 1/300*v**5. Suppose r(l) = 0. Calculate l.
-1
Let b(l) be the first derivative of -l**5/80 + l**3/8 + l**2/4 - 2*l + 1. Let c(x) be the first derivative of b(x). Factor c(p).
-(p - 2)*(p + 1)**2/4
Let -380/13*p**2 + 0*p**4 + 1250/13*p**5 - 4/13 - 66/13*p - 800/13*p**3 = 0. Calculate p.
-2/5, -1/5, 1
Find q such that -12/5*q**3 + 8/3*q**2 + 14/15*q**4 - 2/15*q**5 - 16/15*q + 0 = 0.
0, 1, 2
Let u(d) = -d**2 + 19*d - 32. Let i be u(17). Suppose 4/5*x**3 + 28/5*x**4 + 49/5*x**5 + 0 + 0*x + 0*x**i = 0. Calculate x.
-2/7, 0
Let u(f) = 5*f**2 - 4*f + 5. Let k be (-1)/((-28)/(-12) + -2). Let q(t) = 10*t**2 - 9*t + 9. Let s(l) = k*q(l) + 5*u(l). Factor s(j).
-(j - 1)*(5*j - 2)
Let l(c) = -5*c. Let o be l(0). Let k(m) be the second derivative of -m - 4/3*m**2 - 4/9*m**3 + o - 1/18*m**4. Let k(z) = 0. What is z?
-2
Suppose 2*w + 4*q = -12, -4*w + 0*q + 5*q = -41. Let -4/15*v**2 + 2/15*v - 2/15*v**5 + 4/15*v**w + 0 + 0*v**3 = 0. What is v?
-1, 0, 1
Let l(q) = -5*q - 28. Let u be l(-6). Suppose -5*d + 24 = n, 2*n + 3*d = -0*d + 20. Factor 2/7*m**u - 2/7*m - 2/7*m**n + 0 + 2/7*m**3.
-2*m*(m - 1)**2*(m + 1)/7
Let x = -50 - -18. Let j be (x/54)/((-30)/45). Factor 8/9 + 2/9*m**2 - j*m.
2*(m - 2)**2/9
Let k be (1 + 12/(-20))*8. Let -12/5*c**5 + 12/5*c**3 + 14/5*c**4 + 0*c - k*c**2 + 2/5 = 0. What is c?
-1, -1/3, 1/2, 1
Let y(v) be the second derivative of 0 - v + 0*v**2 + 0*v**3 - 1/48*v**4. Factor y(s).
-s**2/4
Let o(s) = 3*s**3 + 14*s**2 - 2*s - 2. Let y(q) = -19*q**3 - 85*q**2 + 13*q + 13. Let r(i) = 39*o(i) + 6*y(i). Solve r(t) = 0.
-12, 0
Let z = -10 + 13. Let i be (4/(-42))/(z/(-9)). Factor -2/7*k**3 + 6/7*k**2 + i - 6/7*k.
-2*(k - 1)**3/7
Factor 2/13*u**3 - 2/13 + 2/13*u**2 - 2/13*u.
2*(u - 1)*(u + 1)**2/13
Suppose 0 = -13*h + 12*h + 3. Let c(k) be the third derivative of 3/5*k**h + 0 + 0*k + 1/150*k**5 + 1/10*k**4 - 2*k**2. Solve c(s) = 0.
-3
Let d(j) be the first derivative of -j**8/336 - j**7/105 + j**5/30 + j**4/24 + 3*j**2 + 4. Let l(y) be the second derivative of d(y). Factor l(z).
-z*(z - 1)*(z + 1)**3
Let a be 3 + 4/8 - 3. Let g = 57 + -227/4. Factor -1/4*j**3 + 0 - a*j**2 - g*j.
-j*(j + 1)**2/4
Let x = 15/19 - -47/133. Solve 8/7*g - x*g**2 - 2/7 = 0.
1/2
Let -2/11*f**2 - 4/11 + 6/11*f = 0. What is f?
1, 2
Let d(s) be the first derivative of s**4/2 - 3*s**2 + 4*s - 16. Determine i so that d(i) = 0.
-2, 1
Let r(o) be the second derivative of -3*o**5/160 - o**4/16 + 7*o**3/16 - 3*o**2/4 + 3*o. Factor r(i).
-3*(i - 1)**2*(i + 4)/8
Let z(j) = -j**2 - 3*j + 4. Let v be z(-3). Factor 0*h**3 - 5*h**4 - 2*h**4 + 8*h**5 + 3*h**v - 4*h**3.
4*h**3*(h - 1)*(2*h + 1)
Let y(r) = -3*r**5 + 4*r**3 + 6*r**2 - 9*r + 2. Let i(a) = 2*a**5 + a**4 - 4*a**3 - 5*a**2 + 8*a - 2. Let j(t) = -4*i(t) - 3*y(t). Find l such that j(l) = 0.
-1, 1, 2
Factor -4/3*v**2 + 0*v**3 + 0 + 0*v - 1/3*v**5 + v**4.
-v**2*(v - 2)**2*(v + 1)/3
Let h be (-18)/6*2/(-3). Let q(r) be the second derivative of 0*r**2 + 1/60*r**5 + 0 - h*r + 0*r**4 + 0*r**3. Factor q(t).
t**3/3
Let x(z) be the second derivative of z**4/36 - z**3/6 + z**2/3 - 7*z. Factor x(c).
(c - 2)*(c - 1)/3
Let y(z) = 24*z**4 - 21*z**3 - 43*z**2 - 11*z + 11. Let p(q) = 12*q**4 - 10*q**3 - 22*q**2 - 6*q + 6. Let v(w) = 11*p(w) - 6*y(w). Factor v(f).
-4*f**2*(f - 2)*(3*f + 2)
Let k be (8/(-16)*(0 + 0))/(-1). Let o(v) be the second derivative of 4*v - 3/2*v**3 + 1/8*v**4 + 27/4*v**2 + k. Factor o(j).
3*(j - 3)**2/2
Suppose -1/3*w**3 + 1/3*w + 1/3 - 1/3*w**2 = 0. Calculate w.
-1, 1
Let t(d) be the third derivative of d**6/180 - d**4/3 - 7*d**3/6 - 9*d**2. Let f(h) be the first derivative of t(h). Solve f(l) = 0.
-2, 2
Let -3/4 - 1/2*g + 1/4*g**2 = 0. Calculate g.
-1, 3
Let g(q) be the third derivative of -q**5/60 + q**4/24 - q**3/6 - 2*q**2. Let k(p) = -7*p**2 + 6*p - 5. Let c(b) = -6*g(b) + k(b). Find i such that c(i) = 0.
-1, 1
Let x be (-5)/3*(1 - 2). Suppose 4*p + 0*p + 2*b = 22, 5*p + 4*b = 29. Find f such that 4/3*f**2 + 0 - 1/3*f**p + x*f**4 + 0*f - 8/3*f**3 = 0.
0, 1, 2
Let p = 160/231 - 2/77. Solve 1/3 + p*u + 1/3*u**2 = 0.
-1
Determine x, given that -6*x**3 - x + 9 - 5*x - 13*x**2 - 8*x**2 = 0.
-3, -1, 1/2
Let w = -75 - -78. Solve -7*i**w - 4/3