1)/5
Let t be ((-6)/(-18))/(2/42). Suppose -t*i - 22 = -5*a - 3*i, -i = -a + 5. Factor -3/2*k**a + 0 + 3*k.
-3*k*(k - 2)/2
Suppose 22 = d + 5*c, -d + 4*d - 3*c = -6. Let b(r) be the second derivative of 1/2*r**4 + 2*r - 4/5*r**d - 4/15*r**3 + 0. Factor b(z).
2*(3*z - 2)*(5*z + 2)/5
Let p(c) = -3*c**4 - 4*c**2 + 4*c - 4. Let v(b) = b**2 - b + 1. Let u be 3 + 1/(-1) + -3. Let s(y) = u*p(y) - 4*v(y). Factor s(m).
3*m**4
Let r(h) be the second derivative of -h**5/120 + h**3/12 + 3*h**2/2 + 3*h. Let p(q) be the first derivative of r(q). Factor p(g).
-(g - 1)*(g + 1)/2
Let j = 5 - 4. Let o(c) be the first derivative of 1/5*c**2 + 1/5*c + 1/15*c**3 - j. What is y in o(y) = 0?
-1
Suppose 9*l - 90 = -0*l. Suppose 2 + l*w + 25/2*w**2 = 0. Calculate w.
-2/5
Suppose p**2 - 5*p**5 - 10*p + 4*p**3 + 11*p**3 - 5*p**4 + 6*p**2 - 2*p**2 = 0. What is p?
-2, -1, 0, 1
Solve 25*s**3 - 27*s**2 + 3*s**4 + 67*s**2 + 9*s + 11*s + 2*s**4 = 0.
-2, -1, 0
Suppose 3*k = -6, -n + 5*k + 1 = -12. Factor 4*j**2 - 2*j**n - j**3 - 13*j**2 - 6*j.
-3*j*(j + 1)*(j + 2)
Let r(f) be the second derivative of -2*f**7/63 - f**6/30 + f**5/60 + 22*f. Let r(h) = 0. Calculate h.
-1, 0, 1/4
Let q be 4/1 - (-2 - -4). Factor -b**3 - 5*b**3 + 0*b**2 + b**q - 3*b**2.
-2*b**2*(3*b + 1)
Factor -3*c + 2*c**3 + 4*c + 2*c**2 + 6*c**3 - 7*c**3.
c*(c + 1)**2
Suppose -8/3*k**2 - 16/9*k + 0 - 2/9*k**4 - 4/3*k**3 = 0. What is k?
-2, 0
Let v be (25/2)/((-4)/8). Let l be (-2)/(-14) - v/21. Determine x, given that 125/6*x**4 + 0 + 10*x**2 + 25*x**3 + l*x = 0.
-2/5, 0
Let p = 5 - 3. Factor -4 - p*m**5 - 3*m**4 + 11*m**4 - 8*m**3 + 10*m + 4*m**2 - 8*m**2.
-2*(m - 2)*(m - 1)**3*(m + 1)
Let p(u) be the first derivative of 3*u**5/5 - 9*u**4/4 + 2*u**3 - 17. Factor p(o).
3*o**2*(o - 2)*(o - 1)
Let c be -1 + ((-183)/6)/((-60)/2). Let u(w) be the second derivative of 2*w + 1/18*w**3 - 1/36*w**4 - c*w**5 + 0 + 1/6*w**2. Determine g so that u(g) = 0.
-1, 1
Let p = -134/7 - -661/21. Factor -20/3*t - 3*t**4 - p*t**2 - 4/3 - 10*t**3.
-(t + 1)**2*(3*t + 2)**2/3
Solve 0 - 12/5*j - 3/5*j**2 = 0.
-4, 0
Find g such that 12/7*g**3 + 4/7*g**4 - 12/7*g + 4/7*g**2 - 8/7 = 0.
-2, -1, 1
Factor -2/7*n + 0 + 2/7*n**3 + 0*n**2.
2*n*(n - 1)*(n + 1)/7
Factor 5/2*r**3 - 2 - 3/2*r**2 - 6*r.
(r - 2)*(r + 1)*(5*r + 2)/2
Let a(l) be the second derivative of l**7/168 + l**6/120 - 3*l**5/80 - l**4/48 + l**3/12 - 37*l. Solve a(c) = 0 for c.
-2, -1, 0, 1
Let j = -1441/15 - -290/3. Factor 6/5*c + 0 - j*c**3 + 3/5*c**2.
-3*c*(c - 2)*(c + 1)/5
Let b(i) be the first derivative of -i**5/25 + 3*i**4/5 - 46*i**3/15 + 6*i**2 - 5*i - 16. Factor b(p).
-(p - 5)**2*(p - 1)**2/5
Suppose -28*v - 9 = -31*v. Factor -8/5*i**2 - 2/5*i**v - 2*i - 4/5.
-2*(i + 1)**2*(i + 2)/5
Let s(r) be the second derivative of -r**6/105 - r**5/10 - 3*r**4/7 - 20*r**3/21 - 8*r**2/7 - 10*r. What is o in s(o) = 0?
-2, -1
Let p(n) be the first derivative of -n**4/36 - n**3/9 + n**2/2 + n - 1. Let c(w) be the first derivative of p(w). Suppose c(x) = 0. What is x?
-3, 1
Suppose 2*p = -1 + 9. Let i = -2 + p. Solve -1/3 - 2/3*c - 1/3*c**i = 0.
-1
Let h = -12 + 13. Let m(p) = p**2 + p. Let t(j) = -5*j**2 - 4*j + 1. Let b(c) = h*t(c) + 6*m(c). Factor b(g).
(g + 1)**2
Let u(y) be the second derivative of -y**5/80 + y**4/32 + y**3/4 + y**2/2 - 6*y. Let n(d) be the first derivative of u(d). Factor n(t).
-3*(t - 2)*(t + 1)/4
Let g = -7 - -13. Suppose g = 5*u - 4. Factor 3*m**3 + m**4 + 3*m**2 - 2*m**4 + u*m**4 + m.
m*(m + 1)**3
Suppose -6*h = -3*d - 2*h + 189, h = 4*d - 252. Factor 343/6*a**5 + 46/3*a**2 + 4/3*a + d*a**3 + 0 + 637/6*a**4.
a*(a + 1)*(7*a + 2)**3/6
Suppose 0 = -4*y + 3 + 1. Suppose -y - 1 = -n. Find g, given that 6*g**3 + n*g**4 - 2*g - 2*g + 6*g**2 + 2*g + 4*g = 0.
-1, 0
Suppose -5*p - 3*n - 13 = -102, n = -5*p + 83. Let t be p/6*(-3)/(-2). Determine g so that g - 3*g**2 + t*g**2 - 5*g**2 = 0.
0, 1/4
Let m(p) be the first derivative of -2/9*p**3 + 0*p - 5 + 2/3*p**2. Factor m(l).
-2*l*(l - 2)/3
Find z, given that -19*z - 3*z**2 + 2*z**2 + 2*z**2 + 7*z = 0.
0, 12
What is s in -3/5*s**3 + 0*s**2 + 0 + 9/5*s**4 + 12/5*s**5 + 0*s = 0?
-1, 0, 1/4
Suppose -5*b + 30 = -3*b. Let j be 46/24 + 5/b. Suppose j*s + 7/4*s**2 + 1/2 = 0. What is s?
-1, -2/7
Suppose -b = n + b + 4, -3*n + 2 = -b. Let o = 9 + -35/4. Find x, given that -1/4*x**2 + n + o*x**3 - 1/2*x = 0.
-1, 0, 2
Let -3/2*i**3 - 3/4 - 3/4*i**4 + 3/4*i + 3/4*i**5 + 3/2*i**2 = 0. Calculate i.
-1, 1
Suppose -i = -9 - 7. Let c be 10/i*22/55. Factor 0 - 1/4*s**3 + 1/4*s + c*s**2 - 1/4*s**4.
-s*(s - 1)*(s + 1)**2/4
Let n(j) be the third derivative of -j**8/30240 - j**7/2520 + j**5/12 + 4*j**2. Let f(i) be the third derivative of n(i). Determine k, given that f(k) = 0.
-3, 0
Suppose 2*a = 4*r - 20, -5*r + 0*r - 4*a + 25 = 0. Suppose -15 = -5*s + r. Solve 2/3 - 8/3*k**3 - 8/3*k + 2/3*k**s + 4*k**2 = 0.
1
Suppose 0 = 3*k + 2*g + 49, -2*k + 2*g = 60 - 14. Let n = k + 23. Factor 1/6*v**3 + 2/3*v**2 - 1/6*v - 2/3*v**n + 0.
-v*(v - 1)*(v + 1)*(4*v - 1)/6
Suppose -7*n - 87 = -10*n. Let b = n + -27. Let -2/5*p - 6/5*p**3 + 6/5*p**b + 0 + 2/5*p**4 = 0. Calculate p.
0, 1
Let x(q) = 3*q - 6. Suppose -n - 3 = -6. Let l be x(n). Let 2/5*a**4 + 12/5*a**l + 24/5*a + 8/5 + 26/5*a**2 = 0. Calculate a.
-2, -1
Let x be 5/40 - 26/400. Let l(g) be the second derivative of 0 + 3*g - x*g**5 + 0*g**2 + 1/75*g**6 + 1/10*g**4 - 1/15*g**3. Factor l(q).
2*q*(q - 1)**3/5
Let o(c) be the second derivative of -c**4/42 + 2*c**3/21 + 8*c**2/7 + 4*c + 3. Factor o(a).
-2*(a - 4)*(a + 2)/7
Let r be (-3)/((2 + 0)/(-2)). Let m be (-2)/r*(-9)/2. Let -1 - 2*a**m + 0*a**5 + 2*a**2 + a**4 - 2*a**4 + a**5 + a = 0. Calculate a.
-1, 1
Let u(h) = -h**3 + 18*h**2 + 5. Let a be u(18). Let i(y) be the third derivative of -2*y**2 + 0 - 1/30*y**a - 1/4*y**4 - 2/3*y**3 + 0*y. Factor i(r).
-2*(r + 1)*(r + 2)
Let u(a) be the second derivative of -a**4/42 + 5*a**3/21 - 6*a**2/7 + 28*a. Factor u(i).
-2*(i - 3)*(i - 2)/7
Let w(n) be the third derivative of -n**5/90 + n**4/18 + 5*n**2. Let w(j) = 0. What is j?
0, 2
Let a(k) be the third derivative of -k**10/453600 + k**8/60480 + k**5/15 + 2*k**2. Let n(u) be the third derivative of a(u). Suppose n(v) = 0. What is v?
-1, 0, 1
Determine f, given that -1/3*f**2 - 4/3 + 4/3*f = 0.
2
Let c(g) = 4*g**4 + 54*g**3 - 40*g**2 + 14*g. Let l(x) = -x**4 - 11*x**3 + 8*x**2 - 3*x. Let f(u) = -3*c(u) - 14*l(u). Suppose f(d) = 0. What is d?
0, 2
Let k be 1/2*(2 - 2). Solve 4/9*a**2 + 0*a - 2/9*a**4 + k*a**3 - 2/9 = 0 for a.
-1, 1
Let j = 10 - 5. Suppose 2*y - j*v = -1, y = 3*v - v. Let 0*i + 3*i - i**3 - y*i = 0. What is i?
-1, 0, 1
Let d = -8 - -11. Factor 13*u**4 + u**2 + 1 - 3*u**2 - 2*u**d + u**5 - 12*u**4 + u.
(u - 1)**2*(u + 1)**3
Let s = 76 + -73. Let r(z) be the second derivative of 1/40*z**5 + 1/4*z**s - 1/4*z**2 + 2*z - 1/8*z**4 + 0. Solve r(h) = 0.
1
Let l(v) be the first derivative of 2*v**4 - 6*v**3 + 20. Factor l(t).
2*t**2*(4*t - 9)
Let g(y) be the third derivative of -y**6/480 + y**5/48 - y**4/32 - 3*y**3/8 + 4*y**2 + 4. Let g(n) = 0. What is n?
-1, 3
Let l(m) = 4*m + 59. Let k be l(-14). Factor 2/5 + 1/5*x**k - 1/5*x - 2/5*x**2.
(x - 2)*(x - 1)*(x + 1)/5
Let a(t) be the third derivative of 0*t - 7*t**2 + 0 + 1/150*t**6 + 1/30*t**4 + 1/1050*t**7 + 1/30*t**3 + 1/50*t**5. Let a(j) = 0. Calculate j.
-1
Suppose 9*z = 14*z. Let t(i) be the second derivative of 1/3*i**6 + i - i**5 - 5/3*i**3 + 5/3*i**4 + z - 1/21*i**7 + i**2. Factor t(s).
-2*(s - 1)**5
Let s(a) be the third derivative of -a**6/30 - a**5/5 + 3*a**4/2 - 10*a**3/3 + 3*a**2 - 3*a. Factor s(f).
-4*(f - 1)**2*(f + 5)
Let x = 26 - 21. Let t(h) be the third derivative of -4/3*h**3 + 0*h + 1/3*h**4 - 1/30*h**x + 0 + h**2. Find u, given that t(u) = 0.
2
Let h be 20/11 - 18/(-99). Suppose -20 = -3*v + h*c + 3*c, 0 = -4*v + 4*c + 24. Factor -6*p + 3*p**5 - 2*p**3 + v*p**3 - 9*p**2 + 9*p**4 + 0*p.
3*p*(p - 1)*(p + 1)**2*(p + 2)
Let i(q) = -q**2. Let s(k) = -2 + k - 3*k + k - 2*k**2 + k**3. Let z(r) = -12*i(r) + 3*s(r). Factor z(l).
3*(l - 1)*(l + 1)*(l + 2)
Solve -8*i**2 - i**3 + 4*i**4 + 3*i**3 - 2*i**5 - 2*i + 4 + 0*i**3 + 2*i**3 = 0.
-1, 1, 2
Find l such that -3*l**2 - 2*l**3 + 4*l**2 + 7*l**2 = 0.
0, 4
Let m be (0 + 1 - -3)/2. Suppose 6 = m*x + 4*r, -4*r + 6 = 2*x - 9*r. Factor 3*p**2 - 