/5 - u/5 + 77. Find d, given that y(d) = 0.
1
Let v(j) be the second derivative of 1/6*j**2 + 19/54*j**4 + 17/54*j**3 + 20*j + 0 + 23/270*j**6 + 5/378*j**7 + 7/30*j**5. Let v(b) = 0. What is b?
-1, -3/5
Let w(j) = -2*j + 16. Let o be w(7). Factor -3*s - 3*s + 4 - 2*s + o + 2*s**2.
2*(s - 3)*(s - 1)
Factor -238*r + 103*r - 6*r**2 + 22*r**2 - 4*r**3 - 91*r**2 - 65 - r**3.
-5*(r + 1)**2*(r + 13)
Let t be (-5212314)/108588*(-8)/30. Let j = t - 2/9049. Solve j*n - 16/5 + 36/5*n**2 = 0 for n.
-2, 2/9
Suppose 77 = 2*q - 103. Let d be 18/(-45) + 56/q. What is y in 128/9 + 32/3*y + d*y**3 + 8/3*y**2 = 0?
-4
Let d = -900 - -902. Factor -2/3*o + 0 + o**d - o**4 + 2/3*o**3.
-o*(o - 1)*(o + 1)*(3*o - 2)/3
Let z(b) = 12*b**2 + 88*b + 98. Let l be z(-6). What is v in v**3 - v + 0 + 1/2*v**4 - 1/2*v**l = 0?
-2, -1, 0, 1
Let b(m) be the second derivative of 11*m + 1/7*m**4 - 6/7*m**2 + 0 - 2/21*m**3 + 1/35*m**5. Factor b(k).
4*(k - 1)*(k + 1)*(k + 3)/7
Let i(t) = -22*t + 572. Let r be i(26). Let h(z) be the third derivative of -1/12*z**5 - 5*z**2 - 1/120*z**6 + r - 1/2*z**3 - 7/24*z**4 + 0*z. Solve h(s) = 0.
-3, -1
Let p(g) = g**3 + 5*g**2 + 4*g + 2. Let u be p(-4). Factor 24*m**3 + 51*m**3 - 4*m + 30*m**u + 7*m.
3*m*(5*m + 1)**2
Suppose 4*d = 0, h + 4*d + 5 = 7. Let b(v) be the third derivative of -7*v**h - 1/10*v**3 - 1/100*v**5 + 0 + 0*v - 1/20*v**4. Determine o so that b(o) = 0.
-1
Factor -3/4*b**3 - 15/4*b - 75/2 + 6*b**2.
-3*(b - 5)**2*(b + 2)/4
Let 120*f**2 + 0 - 252*f - 93/7*f**3 + 3/7*f**4 = 0. Calculate f.
0, 3, 14
Let i(g) = g**2 - 1. Let p(j) = j**2 + 8*j - 18. Suppose t = 5*v + 11, -t + 0*v = 2*v + 3. Let w(n) = t*p(n) - 2*i(n). Factor w(x).
-(x - 4)**2
Let m(h) be the third derivative of -h**7/105 - 23*h**6/60 + 52*h**5/15 - 9*h**4 - 7*h**2 + 47*h. Let m(v) = 0. Calculate v.
-27, 0, 2
Let j(g) = -17*g - g**3 + 19*g + 2 - 11*g + 4 + 6*g**2. Let v be j(4). Let 0 + 1/2*y - 1/4*y**v = 0. What is y?
0, 2
Let z be 2*(4 - 50/20). Let m(k) be the second derivative of 7*k**4 + 7*k + 39/20*k**5 + 3*k**2 + 0 + 17/2*k**z. Let m(p) = 0. What is p?
-1, -2/13
Let k(m) = -2*m**4 + 7*m**3 + 16*m**2 - 35*m + 29. Let r(t) = 6*t**4 - 20*t**3 - 50*t**2 + 104*t - 88. Let i(x) = 16*k(x) + 5*r(x). Factor i(s).
-2*(s - 6)*(s - 1)**2*(s + 2)
Let y(a) be the first derivative of a**4/18 + 2*a**3/9 - a**2/9 - 2*a/3 - 80. Factor y(g).
2*(g - 1)*(g + 1)*(g + 3)/9
Let p(h) = -3*h**3 - 60*h**2 + 101*h - 59. Let u(z) = z**3 + 30*z**2 - 51*z + 29. Let x(f) = -3*p(f) - 7*u(f). Suppose x(i) = 0. Calculate i.
1, 13
Let q(c) = c**3 + 3*c**2 + 2*c + 3. Let o be q(-2). Factor -5*r**2 - o*r**2 + 3*r**4 + r**4 + 0*r**4 - 4*r**3.
4*r**2*(r - 2)*(r + 1)
Factor -2/3*h**2 + 20*h - 58/3.
-2*(h - 29)*(h - 1)/3
Let t = 53 - 51. Determine w, given that 32*w**2 + 2*w - t*w**5 + 29*w**2 + 4*w**4 - 65*w**2 = 0.
-1, 0, 1
Suppose 75 + 7 = 41*k. Factor 2/5*u**3 + 0*u**k + 0 + 0*u.
2*u**3/5
Let w(x) be the second derivative of x**6/50 - 3*x**5/20 - x**4/20 + x**3/2 + 83*x. Solve w(j) = 0.
-1, 0, 1, 5
Let m(x) be the third derivative of -x**5/30 - x**4/48 + x**3/24 + 3*x**2 + 2. Factor m(c).
-(2*c + 1)*(4*c - 1)/4
Let d(o) = -o**4 - o**2 - o + 1. Let a(l) = l + 10*l**3 + 8 - 26*l**3 - 5*l**2 + 10*l**3 - 8*l**4. Let k(f) = -a(f) + 5*d(f). Factor k(m).
3*(m - 1)*(m + 1)**3
Let f(h) be the second derivative of 2*h**7/15 - 8*h**6/25 - 67*h**5/25 - 4*h**4/15 + 8*h**3 + 32*h**2/5 - 77*h + 2. Suppose f(j) = 0. Calculate j.
-2, -1, -2/7, 1, 4
Suppose -5*g**4 - 9*g**3 - 89*g + 78*g + 20*g**3 + 3*g**2 + 2 = 0. What is g?
-1, 1/5, 1, 2
Let j be ((-24)/7)/((-4)/14). Suppose j = 4*w - 4. Factor 18*m**5 - 14*m**5 + 2*m**w - 2*m**4.
4*m**5
Let l(u) be the second derivative of 8*u**6/15 + 19*u**5/5 - 29*u**4/3 + 4*u**3 + 131*u - 2. Factor l(x).
4*x*(x - 1)*(x + 6)*(4*x - 1)
Let d be 243/54*16/3. Suppose -6*v**4 - v**4 - 60*v + 142*v**3 + 4*v**4 - 54*v**2 - d - 163*v**3 = 0. What is v?
-2, -1
Let m(p) be the second derivative of -p**7/21 - 62*p**6/45 - 101*p**5/15 - 44*p**4/3 - 155*p**3/9 - 34*p**2/3 + 47*p. Let m(w) = 0. Calculate w.
-17, -1, -2/3
Factor 16/3 + 1/3*r**3 - 22/3*r + 5/3*r**2.
(r - 2)*(r - 1)*(r + 8)/3
Let d(b) be the second derivative of 2/3*b**3 + 1/3*b**4 + 0 + 8*b + 0*b**2. What is v in d(v) = 0?
-1, 0
Let w(y) = 10*y**4 + 6*y**3 - 4*y**2 - 6*y + 6. Let m(q) = 452*q**2 - 1 - q**4 - q**3 + q - 452*q**2. Let l(o) = 6*m(o) + w(o). Suppose l(r) = 0. What is r?
-1, 0, 1
Factor 2 - 3*y**2 + 30*y + 0*y - 77.
-3*(y - 5)**2
Let -8/3*h**4 - 2/3*h**3 + 0 + 8/3*h**2 + 2/3*h = 0. Calculate h.
-1, -1/4, 0, 1
Let v be (-3222)/126 + 21 + 5. Factor 0*s + 6/7*s**2 + 0 - 9/7*s**4 + v*s**3.
-3*s**2*(s - 1)*(3*s + 2)/7
Let p(a) be the first derivative of a**4/6 - 8*a**3/9 - 4*a**2/3 + 32*a/3 + 127. Factor p(i).
2*(i - 4)*(i - 2)*(i + 2)/3
Let u = 34 - 13. Let a = 26 - u. Suppose 16*m**3 - 20*m**5 + 441*m**4 - 4*m + 8*m**a - 8*m**2 - 433*m**4 = 0. Calculate m.
-1, -1/3, 0, 1
Let u(r) be the first derivative of 7*r**4/6 + 326*r**3/9 - 122*r**2/3 - 32*r - 130. Factor u(o).
2*(o - 1)*(o + 24)*(7*o + 2)/3
Solve 52 - 21*q**3 - 13*q**3 - 9*q**3 - 2117*q**4 - 72*q**2 + 32*q + 11*q**3 + 2137*q**4 = 0.
-1, 1, 13/5
Suppose 10*a - 63 = 17. Let s(z) be the first derivative of -44/3*z**3 + z**4 - 16*z + 24*z**2 - 2/3*z**6 + 12/5*z**5 - a. Find i, given that s(i) = 0.
-2, 1, 2
Let d(c) = -14*c - 3*c**2 + 17 + 33*c + 225 + 20*c. Let a(i) = 2*i**2 - 40*i - 242. Let g(k) = 5*a(k) + 4*d(k). Factor g(l).
-2*(l + 11)**2
Let a = 5399/29634 + -1/2694. Suppose 6/11*r + 0 + a*r**2 = 0. Calculate r.
-3, 0
Let o(f) be the third derivative of f**6/90 + f**5/6 - f**4 - 5*f**3/3 + 6*f**2. Let n(j) be the first derivative of o(j). Determine u, given that n(u) = 0.
-6, 1
Find d, given that -6 - 3/4*d**3 + 3/4*d + 6*d**2 = 0.
-1, 1, 8
Factor -3/4*d**2 + 0 + 3/4*d.
-3*d*(d - 1)/4
Let g(c) be the third derivative of 17*c**2 + 0*c + 0 + 1/2*c**3 - 5/12*c**4 - 3/20*c**5 + 1/30*c**6. Factor g(q).
(q - 3)*(q + 1)*(4*q - 1)
Let g(x) = 123*x**4 + 1743*x**3 + 2454*x**2 - 1260*x. Let k(y) = -35*y**4 - 498*y**3 - 701*y**2 + 360*y. Let q(v) = -5*g(v) - 18*k(v). Let q(a) = 0. What is a?
-15, -2, 0, 2/5
Let r = -2622 - -7877/3. Determine t, given that -r*t**3 + 4/3 + 13/3*t**2 + 16/3*t - 17/3*t**4 - 5/3*t**5 = 0.
-2, -1, -2/5, 1
Let i(u) be the first derivative of 0*u + 6*u**2 + 8 - 1/45*u**5 + 0*u**4 + 0*u**3. Let p(y) be the second derivative of i(y). Determine n so that p(n) = 0.
0
Let x = 1530 - 1527. Let 0*z**2 + 1/3*z**5 - 1/3*z**4 + 0 + 0*z - 2/3*z**x = 0. What is z?
-1, 0, 2
Let b be 0/(-2) + 12/6. Suppose y - 9 = -b*y. Find g such that -g + 3 - 12*g**y + 1 + 0*g**3 - 19*g + 28*g**2 = 0.
1/3, 1
Let m be (657/365)/((3/5)/1). Let r(l) be the first derivative of 1/2*l**4 + 5 + 2/9*l**m - 8/3*l**2 + 8/3*l. What is b in r(b) = 0?
-2, 2/3, 1
Let x(y) be the second derivative of y**6/90 + y**5/15 - 8*y**3/9 - 2*y**2 + 9*y. Let o(n) be the first derivative of x(n). Factor o(k).
4*(k - 1)*(k + 2)**2/3
Let k(z) = -4*z**3 + 12*z**2 + 2*z + 6. Let o be k(3). Let w(u) be the first derivative of -u**3 - 9/2*u**2 + o*u - 6. Suppose w(g) = 0. What is g?
-4, 1
Solve -262/17*a**2 - 8450/17 - 2/17*a**3 - 8710/17*a = 0.
-65, -1
Determine u, given that -3*u**2 - 5*u + 3 - u + 3 + 3*u = 0.
-2, 1
Let y(a) be the first derivative of 2 + 72*a**3 + 12*a**4 + 99/2*a**2 + 12*a. Suppose y(m) = 0. Calculate m.
-4, -1/4
Let q(n) be the second derivative of -3/20*n**5 + 1/4*n**3 - 1/2*n**4 + 1/10*n**6 + 1/28*n**7 + 0 + 3/2*n**2 + 10*n. Find i, given that q(i) = 0.
-2, -1, 1
Let w(g) be the first derivative of -4*g**3/3 - 8*g**2 - 16*g - 85. Solve w(r) = 0 for r.
-2
Let g(b) = 2*b**2 + 20*b - 45. Let w(q) = q**2 - 15. Let u(z) = 2*g(z) - 6*w(z). Determine j, given that u(j) = 0.
0, 20
Let n be 156/65 - (-12)/20. Let d(w) be the first derivative of 0*w + 3/20*w**5 - 1/2*w**4 + 0*w**2 + 3/8*w**6 + 7 - 1/3*w**n. Factor d(y).
y**2*(y - 1)*(3*y + 2)**2/4
Let v(h) be the first derivative of 3*h**5/25 + 9*h**4/20 - 22*h**3/5 - 36*h**2/5 - 157. Factor v(i).
3*i*(i - 4)*(i + 1)*(i + 6)/5
Suppose -11*r - 26 = -9*r - 5*c, -3*r + 12 = c. Let b be (-6)/(-6) - 10/14. Determine z so that 2/7*z**4 + 2/7*z**5 - 4/7*z**3 - 4/7*z**r + 2/7*z + b = 0.
-1, 1
Factor -298*f**3 + 234*f**3 + 150*f**2 + 106*f**2 + 