s + n*s = s. What is u in 0*u + s + 2/9*u**2 = 0?
0
Let x(s) = -9*s + 32. Let d be x(3). Let j(u) be the second derivative of 5/2*u**3 - 6/5*u**d - 3*u**2 + u + 0 - 2/5*u**6 + 3/4*u**4. Solve j(i) = 0 for i.
-2, -1, 1/2
Suppose 0 = 3*m + 2*m - 10. Determine t, given that -80*t - 5*t**5 - 877*t**2 + 0*t**5 + 917*t**m - 80 - 5*t**4 + 40*t**3 = 0.
-2, -1, 2
Suppose 2*o = 5*o - 54. Suppose 4*v + 6 = o. Let -4*g**2 - 3*g**2 - 4*g**4 + 6*g**2 - v*g**2 - 8*g**3 = 0. What is g?
-1, 0
Let c(b) be the first derivative of -b**4/40 - 22*b**3/15 + b**2/20 + 22*b/5 - 701. Factor c(a).
-(a - 1)*(a + 1)*(a + 44)/10
Suppose 3*n = -3*n. Let h(q) = -5 - 1 + 9*q + 0 + n*q. Let b(s) = s**2 + 8*s - 5. Let k(x) = 3*b(x) - 4*h(x). Find t, given that k(t) = 0.
1, 3
Factor 0 + 138/7*w - 10/7*w**2.
-2*w*(5*w - 69)/7
Let m(w) be the second derivative of 7*w**6/15 - 52*w**5/5 + 1499*w**4/21 - 104*w**3 + 63*w**2 - 2*w - 347. Factor m(t).
2*(t - 7)**2*(7*t - 3)**2/7
Suppose -5*j = -3*d + 34, -2*d + 7 = -5*j - 24. What is b in 12*b**4 - 8*b**5 - 2*b**3 + 5*b**5 + 6*b**2 - b**3 - 12*b**d = 0?
0, 1, 2
Factor 0 + 4*m**2 - 20*m - 1/5*m**3.
-m*(m - 10)**2/5
Suppose -46*y**4 + 1715*y + 383*y - 686 - 432*y - 1316*y**2 + 2*y**5 + 5*y**3 + 375*y**3 = 0. What is y?
1, 7
Let s(u) be the first derivative of u**6/24 - u**5/20 - 3*u**4/16 + 5*u**3/12 - u**2/4 - 58. Factor s(j).
j*(j - 1)**3*(j + 2)/4
Let p(k) be the third derivative of -k**6/300 - 43*k**5/150 - 2*k**4/3 + 28*k**3/5 - 644*k**2. Factor p(u).
-2*(u - 1)*(u + 2)*(u + 42)/5
Let w = 129 + -93. Let q be 2*8/w*3/2. Solve 14/9*b + 4/9 + q*b**2 = 0.
-2, -1/3
Let u(p) be the first derivative of p**5/30 - p**3/3 - 7*p**2 - 5. Let f(z) be the second derivative of u(z). Find a, given that f(a) = 0.
-1, 1
Let m be -2 - -4 - (1 - 5). Let n(k) = -k**3 - 10*k**2 - 5*k + 4. Let d(u) = -u**3 - u**2 - u - 1. Let v(o) = m*d(o) + n(o). Factor v(b).
-(b + 1)**2*(7*b + 2)
Suppose z + 2*z + 15 = 4*n, 0 = -n - 4*z + 18. Factor 7/5*h**5 - n*h**4 + 0*h + 0 - 8/5*h**2 + 36/5*h**3.
h**2*(h - 2)**2*(7*h - 2)/5
Let m(d) be the second derivative of -d**6/1980 - d**5/66 - 25*d**4/132 + 3*d**3/2 + 4*d. Let t(x) be the second derivative of m(x). What is k in t(k) = 0?
-5
Suppose 20 = -3*u + 2*d, 5*d + 4 = -3*u + 3*d. Let q be (-18)/(-8) + u/16. Suppose -l**4 - 1/2*l**5 + 0*l - 1/2*l**3 + 0 + 0*l**q = 0. What is l?
-1, 0
Let c(k) be the first derivative of 1/4*k**4 + 1/3*k**3 + 2*k + 1/10*k**5 + 1/4*k**2 + 3 + 1/60*k**6. Let f(p) be the first derivative of c(p). Factor f(t).
(t + 1)**4/2
Let n(c) be the first derivative of -5*c**3/3 - 155*c**2/2 + 160*c + 639. Factor n(j).
-5*(j - 1)*(j + 32)
Suppose -7*b + 30 = -2*b + 2*f, -2*f - 10 = 0. Suppose 0 = 3*y + 6, -g + 6 = -2*g - 5*y. Factor 13*r**2 - 3*r**4 + 2 - 3*r - g*r**2 - b + 3*r**3.
-3*(r - 2)*(r - 1)*(r + 1)**2
Let -h**3 + 209937 - 4*h + 2*h**2 - 6*h**2 - 209937 = 0. What is h?
-2, 0
Let o = 2242/3 + -745. Suppose -v**3 - o*v - 8/3*v**2 - 2/3 = 0. What is v?
-1, -2/3
Let g(w) be the second derivative of -w**5/5 + 8*w**3 - 32*w**2 + 18*w + 4. Factor g(z).
-4*(z - 2)**2*(z + 4)
Let l(v) be the second derivative of v**6/30 - v**4/3 - 2*v + 94. Let l(c) = 0. What is c?
-2, 0, 2
Let p = 5894/6651 - -2/739. Determine y, given that p*y**2 + 2/9*y**3 + 4/9 + 10/9*y = 0.
-2, -1
Suppose 953*s**2 - 2 - 989*s**2 + 8*s + 2 = 0. Calculate s.
0, 2/9
Determine j, given that 24*j**2 + 23*j**2 + 19*j**2 - 294*j - 7203 - 69*j**2 = 0.
-49
Let x be -4*3/3*1/(-2). Suppose -30*d**2 - d**4 + 5*d**4 + 5 - 1 + 22*d**x = 0. Calculate d.
-1, 1
Let k(u) be the first derivative of -28*u**5/5 + 4*u**4 + 4*u**3 + 25. What is d in k(d) = 0?
-3/7, 0, 1
Let a(s) = -5*s**3 + 30*s**2 + 15*s - 10. Let x(g) = g**2 - g - 1. Let d(j) = -a(j) + 10*x(j). Let d(m) = 0. What is m?
-1, 0, 5
Let p = 348 - 348. Let w(s) be the second derivative of -1/7*s**4 + 3/7*s**3 + 0*s**2 + p + 9*s + 1/70*s**5. Determine t, given that w(t) = 0.
0, 3
Let s be (-200)/560*(-12)/15. Let -s*b + 2/7*b**2 - 4/7 = 0. What is b?
-1, 2
Let h = -2768 - -11073/4. Factor -1/4*r**2 + h*r + 0.
-r*(r - 1)/4
Let q(g) be the third derivative of -g**8/112 + g**7/20 - 17*g**5/40 + g**4/4 + 3*g**3 + g**2 - 6*g. Let q(k) = 0. Calculate k.
-1, 3/2, 2
Solve 1/2*w**3 - 2*w + 3/2*w**2 + 0 = 0.
-4, 0, 1
Let j(b) = b**4 - b**3 - b**2 + b. Let l(i) = 2*i**4 - 2*i**3 + i**2 - i. Let y(d) = 6*j(d) - 2*l(d). Find z such that y(z) = 0.
-2, 0, 1, 2
Let d(r) = 3*r**3 + 2*r**2 + r - 4. Let a(w) = 13*w**3 + 9*w**2 + 6*w - 17. Let b(l) = 2*a(l) - 9*d(l). Find y, given that b(y) = 0.
-1, 2
Let w(b) be the first derivative of b**5/20 + 2*b**4/15 + b**3/10 - 20*b - 11. Let k(s) be the first derivative of w(s). Suppose k(d) = 0. What is d?
-1, -3/5, 0
Let u(y) be the second derivative of -y**8/672 + y**7/210 - y**6/240 + 11*y**2/2 + 37*y. Let j(h) be the first derivative of u(h). Let j(s) = 0. Calculate s.
0, 1
Let t(j) = 15*j**2 + 45*j + 30. Let u(q) = 5*q**2 + 15*q + 10. Suppose -3*z - z = 44. Let s(f) = z*u(f) + 4*t(f). Factor s(a).
5*(a + 1)*(a + 2)
Suppose j + 7*j = -1720. Let d be 4/12 - j/75. Factor -76/5*h**2 - 10*h**3 - 56/5*h - 2/5*h**5 - 16/5 - d*h**4.
-2*(h + 1)**2*(h + 2)**3/5
Let v = 64 + -63. Let h be 6/v + (1 + 1 - 4). Find l such that -2*l + 1/2*l**h + l**3 + 2 - 3/2*l**2 = 0.
-2, 1
Let i be -2 + 5 + -1 + 2. Suppose i*s + 2 = 5*s. Factor -5*n + 4*n**2 + 2*n - 2*n**s - 3*n.
2*n*(n - 3)
Let x(h) = -31*h**2 + 92*h - 5. Let z(v) = 5*v**2 - 15*v + 1. Let n(u) = -6*x(u) - 38*z(u). Let n(d) = 0. Calculate d.
1/2, 4
Factor -6*t**4 + 0*t**4 + 0*t**5 - 3*t**5 + 0*t**5.
-3*t**4*(t + 2)
Let r be 2*(28/8)/1. Suppose -r*n + 12 = -n. Solve -1/5*m**n + 4/5*m - 4/5 = 0 for m.
2
Let g(z) be the second derivative of -z**5/120 - z**4/9 - 17*z**3/36 - 5*z**2/6 + 128*z. Factor g(m).
-(m + 1)*(m + 2)*(m + 5)/6
Let l(b) = -25*b**2 - 526*b - 213. Let o(y) = -200*y**2 - 4205*y - 1705. Let t(q) = 25*l(q) - 3*o(q). Suppose t(a) = 0. Calculate a.
-21, -2/5
Let h(u) be the first derivative of -11 + 0*u + 0*u**2 + 1/6*u**4 - 1/9*u**6 + 2/15*u**5 - 2/9*u**3. Factor h(j).
-2*j**2*(j - 1)**2*(j + 1)/3
Let b(z) be the second derivative of z**7/126 + z**6/45 - z**5/15 - z**4/18 + z**3/6 + 253*z. Determine t, given that b(t) = 0.
-3, -1, 0, 1
Let h(i) = -i**2. Let z = -4 + 10. Let o(v) = -v**2 + 5*v**2 + 4*v**3 - 3*v**4 - v**3 + 2*v**2. Let q(r) = z*h(r) + o(r). Suppose q(s) = 0. Calculate s.
0, 1
Let n = -7 - -7. Suppose x = -n*x + 4. Solve 4*f**3 + 2*f**2 + 4*f + 2*f**4 - x*f + 0*f**2 = 0 for f.
-1, 0
Let l(g) be the third derivative of g**5/50 - 7*g**4/60 + 2*g**3/15 - 2*g**2 + 59. Let l(x) = 0. What is x?
1/3, 2
Let 7803/5 + 3/5*b**2 - 306/5*b = 0. Calculate b.
51
Let b be -60*(-1)/(10/(-15)). Let c be b/36 - (-1 - 2). Factor c + 1/4*j - 1/4*j**2.
-(j - 2)*(j + 1)/4
Factor 648/17 + 72/17*w + 2/17*w**2.
2*(w + 18)**2/17
Let z = 27/4 - 25/4. Let x(k) be the first derivative of -5 - 5/6*k**3 - z*k + 1/4*k**4 + k**2. Suppose x(d) = 0. Calculate d.
1/2, 1
Suppose -9*j - 1521 = -1521. Let s(a) be the second derivative of j + 1/3*a**3 - 9*a + 1/18*a**4 - 4/3*a**2. Let s(d) = 0. Calculate d.
-4, 1
Let d(f) be the third derivative of -f**5/120 - 27*f**4/64 - 5*f**3/12 + 19*f**2. Solve d(o) = 0.
-20, -1/4
Let 12*x**3 - 30*x**4 - x**5 + 13*x**3 - 5*x**5 + 11*x**5 = 0. What is x?
0, 1, 5
Solve 5/2*o - 3*o**2 + 6 + 1/2*o**3 = 0.
-1, 3, 4
Factor 0 - 4/3*c - 2/9*c**2.
-2*c*(c + 6)/9
Let y(m) be the third derivative of -m**8/2016 - 2*m**7/315 - m**6/36 - 2*m**5/45 - 3*m**2 + 57. Find p, given that y(p) = 0.
-4, -2, 0
Suppose -2*u = 5*p + 6, -4*p - 12 = 5*u - 14. Find f such that -128 + 6*f + 37*f**u - 38*f - 18*f**2 - 21*f**2 = 0.
-8
Let b = -3259 + 35853/11. Factor 2/11 + 2/11*f**2 + b*f.
2*(f + 1)**2/11
Let c(k) = 44 + 60 + 2*k + 57 - 189. Let q be c(15). Factor -4/3*g + 4/3*g**q + 1/3.
(2*g - 1)**2/3
Let z be (-102)/24 + (-15)/20. Let s be z - (5 - (7 - -3)). Let s*b + 0*b**2 + 0 - 4/5*b**4 + 0*b**3 = 0. Calculate b.
0
Let z be ((-162)/9)/3*2/(-33). Factor 2/11*j**2 - z*j - 6/11.
2*(j - 3)*(j + 1)/11
Let p(k) be the second derivative of 0*k**2 - 6*k - 25/6*k**3 - 1/20*k**5 + 0 + 5/6*k**4. Let p(a) = 0. Calculate a.
0, 5
Find x such that 20/9*x**3 + 0 - 16/3*x**2 + 2/9*x**4 + 0*x = 0.
-12, 0, 2
Suppose -18 - 11 = -p - 5*g, -2*p +