 p be (4/12)/((-1)/(-6)). Factor n + 6*d - d - p*d**3 + d.
-2*(d - 2)*(d + 1)**2
Let f(z) be the first derivative of -z**6/6 + 2*z**5 - 17*z**4/4 + 8*z**3/3 - 813. Let f(d) = 0. What is d?
0, 1, 8
Let f(w) = w**2 + 8*w + 27. Let t be f(-8). Suppose 2*s - t*s = -100. Find a, given that s*a - 2/3 - 16/3*a**2 + 6*a**4 - 8/3*a**5 - 4/3*a**3 = 0.
-1, 1/4, 1
Let w = 25 - 23. Determine t, given that 2*t**2 - 6 - 5*t**w + 2*t - 8*t - 3*t = 0.
-2, -1
Let t(s) be the third derivative of -s**8/1280 - 3*s**7/1120 - s**6/480 + 3*s**4/8 + 18*s**2. Let a(d) be the second derivative of t(d). What is h in a(h) = 0?
-1, -2/7, 0
Let u(b) be the first derivative of -13/9*b**3 + 1/3*b + 1/6*b**2 + 11 - 25/12*b**4 - 4/5*b**5. Determine a, given that u(a) = 0.
-1, -1/3, 1/4
Let b(p) = p**5 + 20*p**4 - 4*p**3 - 26*p**2 + 21*p. Let h(y) = y**5 + 40*y**4 - 9*y**3 - 51*y**2 + 41*y. Let o(g) = 11*b(g) - 6*h(g). Solve o(i) = 0.
-1, 0, 1, 3
Let l = 10 + 21. Factor 30*a + 45*a**4 - 9*a**2 + 18*a**3 - 48*a**3 - 1 - 4 - l*a**2.
5*(a - 1)*(a + 1)*(3*a - 1)**2
Suppose -4*v + 2*u = 0, 2*v - 4*u - 8 = -5*u. Let p(j) be the second derivative of -j**2 + 1/3*j**3 - 1/24*j**4 + 0 + v*j. Factor p(o).
-(o - 2)**2/2
Suppose 4*q = h, 3*q + h + 36 = 43. Suppose 1/2*o**2 + 3/2*o + q = 0. Calculate o.
-2, -1
Suppose d = -d + 20. Suppose 3*q + d = -5*c, -2 = -q + c - 0. Solve q*a - 2*a - 2*a**2 - 2*a - 2 = 0 for a.
-1
Solve 0 + 9/8*z**3 + 9/4*z**2 - 3*z - 3/8*z**4 = 0.
-2, 0, 1, 4
What is k in 79*k**2 - 2 + 5*k**3 + k - 2*k**3 - 77*k**2 - 4*k**3 = 0?
-1, 1, 2
Let c = 3833/12 - 319. Let a(b) be the first derivative of c*b**2 - 1/2*b - 1/24*b**4 - 1/18*b**3 + 6. Factor a(u).
-(u - 1)**2*(u + 3)/6
Let f(z) be the third derivative of z**6/40 + z**5/10 - 9*z**4/8 - 9*z**3 + 148*z**2. Let f(v) = 0. Calculate v.
-3, -2, 3
Let v(h) be the first derivative of 4*h**6/15 - 28*h**5/25 - 2*h**4 + 44*h**3/5 + 36*h**2/5 - 518. Solve v(l) = 0.
-2, -1/2, 0, 3
Let r(i) be the second derivative of -1/55*i**6 + 11*i + 0*i**3 + 0*i**2 + 0 + 21/55*i**5 - 49/22*i**4. Determine n so that r(n) = 0.
0, 7
Let g(o) = o**2 - 10*o - 37. Let w be g(-3). Suppose 33*i + 83*i**2 - 38*i**2 - 36 - 42*i**w = 0. What is i?
-12, 1
Let i(y) be the first derivative of -34*y**2 + y**4 - 36*y + 15 - 28/3*y**3. Let i(r) = 0. What is r?
-1, 9
Let a(d) = -12*d**3 + 80*d**2 + 164*d + 40. Let r(c) = c**3 - c + 2. Let f(l) = -a(l) - 16*r(l). Solve f(n) = 0.
-18, -1
Let f(p) be the second derivative of -p**4/3 - 8*p**3/3 + 24*p**2 + p - 106. Factor f(z).
-4*(z - 2)*(z + 6)
Let n be (-1)/5*(-47)/235. Let o(h) be the second derivative of 0 + 1/210*h**7 + 1/5*h**2 - 5*h - 2/75*h**6 + n*h**5 + 1/30*h**4 - 1/6*h**3. Factor o(b).
(b - 2)*(b - 1)**3*(b + 1)/5
Let s(d) be the first derivative of -d**4/6 + d**2 - 10*d - 8. Let n(g) be the first derivative of s(g). Determine p so that n(p) = 0.
-1, 1
Suppose 14*w + 15 = 11*w. Let f be w + 94/14*1. Suppose -12/7*i - 3/7*i**2 - f = 0. Calculate i.
-2
Let x = 24586/55 + -447. Let j = x - -158/385. Let 0 + j*n**2 + 3/7*n = 0. Calculate n.
-1, 0
Suppose -4*u = -2*r + 8, -2*r + 6*r = -5*u - 10. Let m be (r - (-1 - -3))/(-4). Factor -m*g + 3/4*g**3 + 0 + 1/4*g**2.
g*(g + 1)*(3*g - 2)/4
Let h be ((-1)/(-3))/((-3)/(-63)). Suppose -5 - h = -4*o + 5*v, 3*v + 9 = 3*o. Factor 3*t**2 + 7 + 6*t + 17 + 12*t + o.
3*(t + 3)**2
Suppose -11*q = -9*q. Suppose -2*j = -q*j - 6. Factor -16*r**2 - 2*r + 18*r**2 + 2*r**j + 0*r**3 - 2*r**4.
-2*r*(r - 1)**2*(r + 1)
Let c = -1/36 + 13/36. Let z = -31/19 + 112/57. Factor z*o + c*o**2 + 0.
o*(o + 1)/3
Let r(k) be the third derivative of -5*k**8/336 - 5*k**7/21 - 13*k**6/24 + 5*k**5 - 15*k**4/2 + 23*k**2 + 3. Factor r(h).
-5*h*(h - 1)**2*(h + 6)**2
Let v(c) be the second derivative of -c**4/3 - 2*c**3/3 + 24*c**2 + 127*c. Determine t, given that v(t) = 0.
-4, 3
Let r(u) be the first derivative of -1/9*u**2 + 0*u - 1/27*u**3 + 25. Let r(l) = 0. Calculate l.
-2, 0
Let f(w) be the first derivative of -w**6/3600 - w**5/300 - w**4/60 - 13*w**3/3 - 3. Let u(h) be the third derivative of f(h). Factor u(d).
-(d + 2)**2/10
Suppose -9 - 1 = -5*h. Let q(j) = -j**4 + 2*j**3 - 3. Let o(x) = x**4 - x**3 + 2. Let s(k) = h*q(k) + 3*o(k). Determine y so that s(y) = 0.
-1, 0
Factor 32 + 4*u**4 - 36 - 4*u**3 + 3*u**5 - u**5 - 15*u**2 - u**2 - 14*u.
2*(u - 2)*(u + 1)**4
Suppose 4*g + 21 = -99. Let p be 2/(g/25)*(-4)/10. Find x, given that 1/3*x - p + 1/3*x**2 = 0.
-2, 1
Let s(v) = -2*v**3 + v**2 - v. Let q(y) = 13*y**3 - 64*y**2 - 71*y + 130. Let f(k) = q(k) + 4*s(k). Factor f(a).
5*(a - 13)*(a - 1)*(a + 2)
Find s such that -3*s**5 - 57*s**4 - 13*s**4 - 100*s**3 + 480*s - 2*s**5 + 167*s**2 + 90*s**2 + 23*s**2 = 0.
-12, -2, 0, 2
Let o(k) be the third derivative of 7*k**2 + 0*k**3 + 0*k + 0 + 1/30*k**4 + 7/300*k**6 - 3/50*k**5. Solve o(n) = 0 for n.
0, 2/7, 1
Let t(p) = 13*p**2 - 43*p + 47. Let l(g) = -33*g + 35 - 11 + 7*g**2 + 12*g - g**2. Suppose 35 = -0*n + 5*n. Let u(a) = n*l(a) - 3*t(a). Let u(i) = 0. What is i?
3
Let r = -95 - -103. Suppose 2*d + c + 8 = -c, 2*c + r = 3*d. Determine v so that 1/5*v**4 + d*v + 1/5*v**2 + 0 + 2/5*v**3 = 0.
-1, 0
Let i(l) be the third derivative of l**6/3780 + l**5/180 + 8*l**3/3 - 12*l**2. Let x(h) be the first derivative of i(h). What is m in x(m) = 0?
-7, 0
Let z = 235532/7 + -33647. Factor 2/7*s**5 + 1/7*s**4 + 0*s - z*s**3 + 0 + 0*s**2.
s**3*(s - 1)*(2*s + 3)/7
Let t(z) = z**2 - z + 1. Let b(n) = 10*n**2 - 18*n + 6. Let h(m) = -b(m) + 6*t(m). Solve h(r) = 0.
0, 3
Suppose -972/5 - 3/5*l**3 - 864/5*l + 21*l**2 = 0. Calculate l.
-1, 18
Let t(m) = -13*m**4 + 11*m**3 + 79*m**2 + 73*m + 18. Let c(g) = 6*g**4 - 6*g**3 - 40*g**2 - 36*g - 8. Let h(a) = -9*c(a) - 4*t(a). Find y, given that h(y) = 0.
-2, -1, 0, 8
Let n(j) be the third derivative of 0 - 1/2*j**3 + 0*j + 0*j**4 - 17*j**2 + 1/20*j**5. Suppose n(s) = 0. What is s?
-1, 1
Let k(y) be the first derivative of -y**3/3 + 7*y**2 + 15*y + 28. Determine i, given that k(i) = 0.
-1, 15
Let c(h) be the second derivative of -h**5/90 - 31*h**4/54 + h**3/27 + 31*h**2/9 + h - 316. Let c(i) = 0. Calculate i.
-31, -1, 1
Let m(u) be the third derivative of u**8/80640 + u**7/2016 + 5*u**6/576 - u**5/10 + 11*u**2. Let c(s) be the third derivative of m(s). What is k in c(k) = 0?
-5
Suppose -2 = -2*s - 10. Let g be 1*s/12*-15. Factor -7*z**3 + g*z**2 + 5*z**3 + 2*z - 2 - 3*z**2.
-2*(z - 1)**2*(z + 1)
Let a = -83 + 86. Let k be ((-5)/2 - -3)*(a - 0). Find s, given that 1/2*s**2 + k + 2*s = 0.
-3, -1
Let k(w) be the third derivative of 0 + 1/11*w**3 - 1/330*w**5 - 1/66*w**4 + 0*w - 10*w**2. Factor k(p).
-2*(p - 1)*(p + 3)/11
Let m(p) be the first derivative of -1/30*p**4 + 0*p + 0*p**3 - 3 - p**2 + 1/150*p**5. Let n(j) be the second derivative of m(j). Let n(y) = 0. What is y?
0, 2
Let a(f) = -f**2 + 2. Let k(q) = 6*q**2 + 2*q - 8. Let v(b) = 4*a(b) + k(b). Factor v(p).
2*p*(p + 1)
Suppose 0 = 5*h + c - 12, -3*h + 8 = -2*h + 3*c. Let 6*i + 18 + h*i**2 + 8*i + i - 3*i = 0. What is i?
-3
Let h(p) be the second derivative of p**4/8 + 39*p**3/2 + 4563*p**2/4 - 52*p. Solve h(q) = 0 for q.
-39
Let n(d) = -5*d**2 - 32*d + 56. Let l be 25/(-15)*12/(-4). Let o(s) = -3*s**2 - 21*s + 37. Let f(h) = l*n(h) - 8*o(h). Factor f(y).
-(y - 4)**2
Suppose 4*s - 20*s = -144. Find k such that -15*k**2 + 82*k**3 + s*k**2 - 80*k**3 = 0.
0, 3
Let w = 3690 - 3690. Suppose w + 2/21*f**2 - 2/21*f = 0. What is f?
0, 1
Let j(y) be the second derivative of 0 - 1/24*y**4 + 9*y - 4*y**2 + 2/3*y**3. What is s in j(s) = 0?
4
Let q(v) = 3*v - 1. Let g be q(2). Suppose -g*j - 2*l = -2, -j - 1 = -2*j - l. Let j*d + 2/11 - 2/11*d**2 = 0. Calculate d.
-1, 1
What is a in 1024/7*a - 52/7*a**4 + 2*a**5 + 256/7 - 184/7*a**3 + 400/7*a**2 = 0?
-2, -2/7, 4
Let u = 9 - -1. Let k be (-10)/(-15)*u/5. Factor -16/3*j**4 - 4/3*j - k*j**5 + 0 - 16/3*j**2 - 8*j**3.
-4*j*(j + 1)**4/3
Let l(g) be the second derivative of 0*g**3 - 16*g - 1/12*g**4 + 0 + 1/30*g**6 + 0*g**2 - 1/10*g**5 + 1/21*g**7. Suppose l(w) = 0. Calculate w.
-1, -1/2, 0, 1
Let x = 4312 - 12935/3. Factor -5/3*z - x*z**2 - 4/3.
-(z + 1)*(z + 4)/3
Let z = -26 + 31. Suppose -10*d**3 + 5 + 5*d**z - 37*d + 5*d**4 - 12*d**2 + 42*d + 0*d**5 + 2*d**2 = 0. What is d?
-1, 1
Let x(p) be the third derivative of 9*p**7/70 - 3*p**6