he first derivative of 2*u**4 - d - 4*u**2 + 2/5*u**5 + 4/3*u**3 - 6*u. Factor g(r).
2*(r - 1)*(r + 1)**2*(r + 3)
Let d(q) = 8*q + 18*q**2 - 23*q**2 + 22 + 48*q + 41*q**2. Let k(i) = -5*i**2 - 8*i - 3. Let t(h) = -6*d(h) - 44*k(h). Determine b, given that t(b) = 0.
-4, 0
Let v(b) be the second derivative of -b - 5/3*b**3 + 5/12*b**4 + 0 + 5/2*b**2. Factor v(g).
5*(g - 1)**2
Let w(b) = 147*b**2 + 315*b + 18. Let q(u) = 149*u**2 + 315*u + 16. Let j(l) = 4*q(l) - 3*w(l). Factor j(y).
5*(y + 2)*(31*y + 1)
Factor -23 - 5*n**3 - 1/4*n**4 + 69/4*n**2 - n.
-(n - 2)**2*(n + 1)*(n + 23)/4
Let b(a) be the first derivative of 2*a**3/11 - 37*a**2/11 + 24*a/11 + 170. Solve b(u) = 0.
1/3, 12
Suppose -5*x + 4*w + 140 = 0, 0 = -0*x + 2*x - 3*w - 56. Let i = x - 132/5. Factor i + 98/5*a**2 - 56/5*a.
2*(7*a - 2)**2/5
Let b be ((-51)/(-204))/(-3*1/(-16)). Let -b - 8/3*r**3 + 8/3*r + r**4 + 1/3*r**2 = 0. What is r?
-1, 2/3, 1, 2
Suppose -2*x - x = 0. Let v = x + 3. Suppose 6*f**4 - 6*f**2 - 12*f**5 - 12*f**5 + 21*f**5 + v*f = 0. Calculate f.
-1, 0, 1
Let z = 3232463 + -2666781431/825. Let p = z - -2/275. Determine n, given that 0 - 2/3*n**2 + 0*n - 4/3*n**3 - p*n**4 = 0.
-1, 0
Let r = 1665 - 1663. Factor 2/3 + 5*q**r + q**4 - 3*q - 11/3*q**3.
(q - 1)**3*(3*q - 2)/3
Let w(q) = -11*q**4 - 2*q**3 + 9*q**2. Let z(h) = 3*h**4 - h**3 - h. Let b(s) = -w(s) - 4*z(s). Factor b(x).
-x*(x - 4)*(x - 1)**2
Let f(r) be the second derivative of -6*r**7/7 - 6*r**6/5 + 5*r**5 + 3*r**4 - 8*r**3 - 8*r**2 + 172*r. Solve f(y) = 0.
-2, -2/3, -1/3, 1
Let u(x) = 0 + 27*x - 24*x - 3. Let k be u(2). Solve 3*q**2 + 3/2*q**4 - 9/2*q**k + 0*q + 0 = 0.
0, 1, 2
Let u = 100 - 97. Let w be u - (-40)/(-15) - 0. Factor w + 13/3*z**2 + 2*z + 4*z**3 + 4/3*z**4.
(z + 1)**2*(2*z + 1)**2/3
Let k(a) be the second derivative of a**7/189 - 14*a**6/135 + 17*a**5/45 - 4*a**4/27 - 35*a**3/27 + 22*a**2/9 + 33*a - 10. Determine d so that k(d) = 0.
-1, 1, 2, 11
Let v(y) = 8*y**5 - 49*y**4 + 32*y**3 - 9. Suppose 8*a + 20 = -2*a. Let x(j) = 2*j**5 - 12*j**4 + 8*j**3 - 2. Let q(f) = a*v(f) + 9*x(f). Solve q(m) = 0.
0, 1, 4
Let p(t) be the third derivative of 1/240*t**6 + 0*t**3 + 0*t + 0 - 1/96*t**4 + 0*t**7 - 21*t**2 - 1/1344*t**8 + 0*t**5. What is y in p(y) = 0?
-1, 0, 1
Let a(v) = -7*v**4 - 4*v**3 - 23*v**2 - 20*v - 6. Let s(j) = -j**4 + j**3 + j**2 - 1. Let r(g) = -a(g) + 6*s(g). Find p such that r(p) = 0.
-5, -4, -1, 0
Let z(t) = 15621*t**3 - 11250*t**2 + 2700*t - 212. Let y(x) = -x**3 + 1. Let l(w) = 12*y(w) - 3*z(w). Factor l(n).
-3*(25*n - 6)**3
Let o(b) be the first derivative of -11*b**5/40 - 13*b**4/16 - b**3/2 - 6*b**2 + 3. Let l(a) be the second derivative of o(a). Factor l(m).
-3*(m + 1)*(11*m + 2)/2
Let c(q) be the second derivative of -3/4*q**5 - 1/6*q**6 - 5/6*q**3 + 0*q**2 - 25*q + 0 - 5/4*q**4. Suppose c(w) = 0. Calculate w.
-1, 0
Let q be (-1 - 2) + (11 - -8). Let g be (1*(-9)/21)/((-12)/q). Factor g*x + 2/7*x**2 + 2/7.
2*(x + 1)**2/7
Suppose 2 = 4*n - 2, 2*m - 2*n = 102. Suppose -3*v - 8 = 4, m = 4*r - 2*v. Factor -r - 32*o - 34 + 2*o - 5*o**2.
-5*(o + 3)**2
Let h = 3410/119 - 27/119. Let p = h - 28. Factor 3/7*v - p*v**2 + 0.
-3*v*(v - 1)/7
Let q = 27/2 + -13. Suppose 6 = 9*k - 7*k. Factor 0*i**2 - 1/2*i**k + 0 + q*i.
-i*(i - 1)*(i + 1)/2
Let k(y) = -4*y - 10. Let p be k(-3). Let -26*g**2 + 192*g - 64 + 9*g**3 - 58*g**p + g**3 = 0. What is g?
2/5, 4
Let s(x) be the first derivative of -24*x**2 + 24*x**3 - 1/2*x**6 - 3/4*x**4 - 18/5*x**5 + 0*x - 33. Determine a, given that s(a) = 0.
-4, 0, 1
Let a(u) = -u**3 + 7*u**2 + u - 7. Let r be a(5). Factor 4*y - 51 + y**2 + r - 2*y.
(y - 1)*(y + 3)
Suppose -2*i - n = -2*n - 74, -2*i = n - 78. Factor 28*v**2 - 8*v + i*v**3 - 17*v**3 - 41*v**3.
-4*v*(v - 1)*(5*v - 2)
Let 32/7*d + 24/7*d**3 + 2*d**4 - 120/7*d**2 + 0 = 0. What is d?
-4, 0, 2/7, 2
Let v(x) be the second derivative of -2*x**4/9 + 25*x**3/9 - 2*x**2 - 13*x + 3. Factor v(r).
-2*(r - 6)*(4*r - 1)/3
Let g(k) be the second derivative of 3*k**5/20 - 7*k**4/4 - 17*k**3/2 - 27*k**2/2 - 19*k - 4. Let g(r) = 0. What is r?
-1, 9
Factor 3*s**2 - 12*s**4 + 9*s**4 + 3*s**3 + 3*s**2.
-3*s**2*(s - 2)*(s + 1)
Let f(y) = 5*y**2 - 6*y. Let p(d) = 13*d**2 - 18*d. Let w(l) = -8*f(l) + 3*p(l). Solve w(b) = 0 for b.
-6, 0
Solve -3/2*b + 25/4*b**2 + 0 - 7/4*b**4 - 3*b**3 = 0.
-3, 0, 2/7, 1
Let m(g) be the second derivative of g**8/1440 + g**7/2520 + 4*g**3 + g. Let a(j) be the second derivative of m(j). Factor a(o).
o**3*(7*o + 2)/6
Let j(g) be the second derivative of 4*g**7/105 - 2*g**6/15 + g**5/5 - g**4/6 + 11*g**3/3 + 5*g. Let d(l) be the second derivative of j(l). Factor d(r).
4*(2*r - 1)**3
Suppose 3*r = -4*u + 77, -3*u - 2*r = -6 - 51. Suppose u*p = 12*p + 15. Factor 2/7*o**p + 0 + 2/7*o - 4/7*o**2.
2*o*(o - 1)**2/7
Suppose 2 = -3*k + 14. Let w(h) be the first derivative of 0*h**2 - 1/6*h + k + 1/18*h**3. Factor w(y).
(y - 1)*(y + 1)/6
Suppose -4*f - 5*r = -9 - 23, -3*f - 2*r + 24 = 0. Factor -13*d**2 + f*d + 12 + 4*d**2 + 2*d**2 + 3*d**2.
-4*(d - 3)*(d + 1)
Determine l so that -9*l + 81/2 - 3/2*l**2 = 0.
-9, 3
Let f be 145/(-1096) + 2 + 15/(-8). Let b = f + 551/411. Factor -1/3*m**5 - b - 25/3*m**2 - 7/3*m**4 - 16/3*m - 19/3*m**3.
-(m + 1)**3*(m + 2)**2/3
Let r = 10 - -10. Let a = r - 17. Factor 8*k**a + 4*k + 0*k - 12*k**3.
-4*k*(k - 1)*(k + 1)
Determine i so that -1/2*i**3 + i - 1/2*i**2 + 0 = 0.
-2, 0, 1
Let y(c) be the first derivative of 3/2*c**2 - 6 - 3/2*c**4 + 1/2*c**6 + 0*c + 0*c**3 + 0*c**5. Find q such that y(q) = 0.
-1, 0, 1
Suppose 459*h - 462*h + 6 = 0. Let f(m) be the first derivative of -4*m - 6 - 2*m**h - 1/3*m**3. Let f(p) = 0. Calculate p.
-2
Let d = -2680 - -10723/4. Determine u so that -d - u - 1/4*u**2 = 0.
-3, -1
Find k, given that 4/5*k**3 + 55296/5 + 288/5*k**2 + 6912/5*k = 0.
-24
Let d = 10187/3 + -3394. Determine n, given that -1/3*n**4 - 4/3 + 0*n**3 + d*n**2 + 0*n = 0.
-2, -1, 1, 2
Let n(r) be the second derivative of -r**6/15 - 3*r**5/10 + 2*r**4/3 - 7*r + 27. Determine m so that n(m) = 0.
-4, 0, 1
Let w(l) = -l**2 + 2*l - 1. Let p(b) = -b. Suppose 0 = -i + 6*i - 4*h - 25, -5*i - 5 = 2*h. Let v(j) = i*w(j) + 4*p(j). Suppose v(m) = 0. What is m?
-1
Let d(v) be the first derivative of -v**3/4 + 129*v**2/8 - 63*v/2 - 261. Factor d(p).
-3*(p - 42)*(p - 1)/4
Let f be (1 - 1)*(-9 - 1)/(-20). Determine h so that -15/4*h**5 + 3/2*h**4 + f*h + 0 + 15/4*h**3 - 3/2*h**2 = 0.
-1, 0, 2/5, 1
Let l be 107/33*(189 + -1 + 4). Let k = -622 + l. Factor -2/11*i**5 + 0*i**4 + 0*i - 4/11*i**2 + k*i**3 + 0.
-2*i**2*(i - 1)**2*(i + 2)/11
Let j(a) be the second derivative of 0 - 8/69*a**3 + 17/138*a**4 + 37*a - 12/23*a**2 + 3/230*a**5. Factor j(q).
2*(q - 1)*(q + 6)*(3*q + 2)/23
Let w(q) be the third derivative of q**5/6 + 3*q**4/2 + 3*q**3 - 26*q**2. Suppose w(x) = 0. What is x?
-3, -3/5
Let s(p) be the second derivative of -23*p - 1/24*p**3 - 1/48*p**4 + 0 + 1/4*p**2. Factor s(v).
-(v - 1)*(v + 2)/4
Let x = -98 + 118. Let c be 4 + (3 - 64/x)*-5. Suppose 0 - 1/4*l**c + 0*l - l**2 + 0*l**3 + 3/4*l**4 = 0. What is l?
-1, 0, 2
Let p be (1/1)/((-14)/(-70)). Suppose 18*a**4 + 72 + a**2 - 96 + 5*a**2 - 33*a**3 - 3*a**p + 36*a = 0. Calculate a.
-1, 1, 2
Let a = 34 - 31. Let -11*s**3 - 5*s**a + 12*s + 13 - 9 = 0. What is s?
-1/2, 1
Let z(t) be the third derivative of -t**7/105 - 6*t**6/35 - 2*t**5/21 - 4*t**2 - 2*t. Suppose z(i) = 0. Calculate i.
-10, -2/7, 0
Let b(c) = -3*c + 3. Let z be b(1). Let w = z + 2. Factor -23*i**2 + 7*i**w + 6 - 3*i + 8*i**2 + 5*i**2.
-3*(i - 1)*(i + 2)
Let q(y) = -y**2 - 2*y - 3. Let p be q(0). Let s be ((-10)/p)/(16/(-3) - -6). Find b such that 4/3*b**4 + 2/3*b + 0*b**3 - 4/3*b**2 + 0 - 2/3*b**s = 0.
-1, 0, 1
Let y(a) be the first derivative of a**6/2 + 117*a**5/5 + 477*a**4/2 - 1198*a**3 + 3843*a**2/2 - 1323*a - 240. Suppose y(l) = 0. Calculate l.
-21, 1
Suppose 37 = 43*t + 2 - 51. Determine z, given that -7/5*z - 3/5 - z**t - 1/5*z**3 = 0.
-3, -1
Let i(s) be the third derivative of -s**6/600 + 7*s**5/300 - 7*s**4/60 + 4*s**3/15 - 101*s**2. Solve i(b) = 0 for b.
1, 2, 4
Let m be (13 - -2)/(3/(-2)). Let x be 2/(-4)*(m + 6). Solve c**3 + 6*c**x - 22*c - 3*c**2 + 24*c = 0.
-2, -1, 0
Let s(w) be the second derivative of w**4/18 + 11*w**3/6 + 8*w**2/3 + 98*w - 1. Factor s(h).
(h