l). Find s, given that q(s) = 0.
0, 1, 4
Suppose 0 = j + 3*t + 6, 0 = -2*j - 2*t - 2 - 2. Suppose 4*f - 6*f = j. Factor f + 10/7*i**2 + 4/7*i.
2*i*(5*i + 2)/7
Let p(z) = z**2 + z - 1. Let t(w) = -w**2 - w + 1. Let g(d) = -3*p(d) - t(d). Let c(q) = q. Let v(o) = -2*c(o) - g(o). Let v(y) = 0. Calculate y.
-1, 1
Find c such that 4 - c**2 + 14 - c**2 + 14*c - 2 = 0.
-1, 8
Suppose -5*i + 15 = -2*i. Factor -28*o**2 + o**3 + 21*o**4 - i*o**4 - 8*o + 16*o**3 + 3*o**3.
4*o*(o - 1)*(o + 2)*(4*o + 1)
Let h(a) be the first derivative of -a**4/16 - a**3/3 - 3*a**2/8 + 11. Factor h(o).
-o*(o + 1)*(o + 3)/4
Let n be 40/15*3/2. Let a(d) be the second derivative of -1/9*d**3 + 0*d**2 + 0*d**n + 11/30*d**5 - 2/5*d**6 + 0 + d + 8/63*d**7. Let a(r) = 0. Calculate r.
-1/4, 0, 1/2, 1
Let d be (33/(-22))/((-3)/10). Let p(v) be the second derivative of -1/6*v**4 + 0*v**2 + 1/21*v**7 - 2*v + 0*v**3 - 1/5*v**6 + 3/10*v**d + 0. Factor p(l).
2*l**2*(l - 1)**3
Factor 1/2*t**2 - 1/2*t**3 + 1/2*t + 0 - 1/2*t**4.
-t*(t - 1)*(t + 1)**2/2
Let b(n) = -n - 8. Let q be b(4). Let x be 1 + 4*2/q. Factor 1/3*c**2 + x*c + 0.
c*(c + 1)/3
Let j be -10*(-3 + -3)/(1155/22). Determine n, given that 16/7*n**2 - 10/7*n**3 + 2/7*n**4 - j*n + 0 = 0.
0, 1, 2
Factor 0*c**2 - 2/3*c**4 - 4/3*c**3 + 2/3 + 4/3*c.
-2*(c - 1)*(c + 1)**3/3
Let -1/4*m**2 + 5/4*m + 0 = 0. Calculate m.
0, 5
Let n = 1108 + -1104. Suppose 82/3*b**n + 2*b**3 + 14*b**5 - 8/3 - 74/3*b**2 - 16*b = 0. Calculate b.
-1, -2/3, -2/7, 1
Let f be 6/(-8) + 134/8. Suppose -16 = 3*m - 5*u, -m + 2*u = -3*m + f. Find n, given that 15 + 2*n**m + n**4 - 15 = 0.
-2, 0
Let z = -601/5 - -121. Factor z - 2/5*x - 2/5*x**2.
-2*(x - 1)*(x + 2)/5
Let b(d) be the second derivative of d**7/1260 + d**6/180 + d**4/3 + 2*d. Let c(m) be the third derivative of b(m). Determine n, given that c(n) = 0.
-2, 0
Let m(o) be the second derivative of -o**6/1980 + 5*o**3/3 + 5*o. Let y(h) be the second derivative of m(h). Factor y(j).
-2*j**2/11
Let f = -5 + 6. Factor 2*q - 3 + q**2 + f + 2.
q*(q + 2)
Let k(v) = -v - 1. Let a be k(0). Let q be (-1)/a - (-3)/(-15). Solve 4/5*c - 6/5*c**2 + 0 + 6/5*c**4 - q*c**3 = 0 for c.
-1, 0, 2/3, 1
Let p = -4 - -6. Let d(i) be the first derivative of 0*i**3 - 1/2*i**4 - 1/5*i**5 + i**2 + p + i. Factor d(b).
-(b - 1)*(b + 1)**3
Let x(w) be the second derivative of -w**6/720 + w**5/180 - w**4/144 + 3*w**2/2 - 4*w. Let u(i) be the first derivative of x(i). Factor u(p).
-p*(p - 1)**2/6
Let u(l) be the third derivative of -l**8/1008 - l**7/126 - l**6/45 - l**5/45 + 9*l**2. Determine f, given that u(f) = 0.
-2, -1, 0
Let m(h) = -h**2 + 7*h + 1. Let o be m(3). Factor 3*n**2 - n**2 - 14*n**3 + o*n**3.
-n**2*(n - 2)
Let j(o) be the second derivative of o**4/3 + 14*o**3/3 + 12*o**2 + 26*o - 1. Factor j(p).
4*(p + 1)*(p + 6)
Suppose -u + 5 = 3. Find h, given that 2/15*h + 2/15*h**3 + 0 + 4/15*h**u = 0.
-1, 0
Let d(r) be the first derivative of -4*r**3/3 + 6*r**2 - 8*r - 30. What is n in d(n) = 0?
1, 2
Let z(a) = -a - 19. Let r be z(-8). Let b(g) = -g**3 - 12*g**2 - 11*g + 3. Let h be b(r). What is n in 3*n + 0 - 21*n**h + 15/2*n**4 - 15/2*n**2 + 18*n**5 = 0?
-1, -2/3, 0, 1/4, 1
Suppose -3*v + 6 + 13 = s, 5*s - 25 = -5*v. Suppose -25*m**2 - 11*m - v*m**2 - 14*m**3 - 11*m - 4 = 0. What is m?
-1, -2/7
Factor 0 + 8/3*z - 4/3*z**2.
-4*z*(z - 2)/3
Determine v, given that 115*v**3 + 12*v**4 + 70*v**2 - 48*v**4 + 40 + 25*v**5 - 468*v + 328*v - 74*v**4 = 0.
-1, 2/5, 1, 2
Suppose 6*a = a + 10. Let i = a + 3. Suppose -3*f**i - 3*f**4 - 22*f**3 + 22*f**3 = 0. What is f?
-1, 0
Let n(m) be the first derivative of m**4/18 + 26*m**3/27 + 23*m**2/9 + 22*m/9 - 51. Suppose n(i) = 0. What is i?
-11, -1
Let g = 154/3 + -299/6. Find c such that 0*c + g - 3/2*c**2 = 0.
-1, 1
Factor 2*w**2 - 5*w**2 + 2*w + 4*w**2.
w*(w + 2)
Let t(a) = a**4 + 4*a - 1. Let y(k) = -61*k**2 - k + 61*k**2 - k**3 - k**4 + 1. Let x(h) = t(h) + 2*y(h). Factor x(d).
-(d - 1)*(d + 1)**3
Let q = 20 - 18. Suppose -83*a**3 + 8*a + 8*a**q + 85*a**3 + 0*a**2 = 0. What is a?
-2, 0
Let o(d) be the second derivative of d**4 - d**3/3 - 6*d. Factor o(m).
2*m*(6*m - 1)
Let b(t) be the second derivative of t**4/20 + t**3 + 15*t**2/2 - 15*t. Suppose b(r) = 0. What is r?
-5
Let n = -1 - 3. Let l be 136/(-85)*9/n. Determine y so that 2/5*y**2 + l - 12/5*y = 0.
3
Let k = 356/9 + -118/3. Factor 2/9*q + k*q**5 - 4/9*q**3 + 2/9 - 4/9*q**2 + 2/9*q**4.
2*(q - 1)**2*(q + 1)**3/9
Suppose 0 + 4/5*k**2 - 2/5*k**4 + 0*k - 2/5*k**3 = 0. What is k?
-2, 0, 1
Let a = -28 - -198/7. Let w = 2/9 + 4/63. What is d in -a + w*d**4 - 4/7*d**3 + 4/7*d + 0*d**2 = 0?
-1, 1
Suppose 5*j = 2*r + 10, 9 = j - 3*r + 4*r. Find c such that -j*c**5 + 7*c**2 - 14*c**4 + 4*c**3 + 8*c**4 - 2 + c**2 = 0.
-1, 1/2, 1
Suppose -5*f + 9 = -1. Suppose -f*g - 10 = -7*g. Factor 0 - 2*o**g + 0 - 5*o + 3*o.
-2*o*(o + 1)
Suppose -2*m = -8 - 12. Suppose -t + 6*t = x + 1, -2*t - m = -3*x. Find j such that 0 + 2/7*j**x + 2/7*j**2 + 0*j + 4/7*j**3 = 0.
-1, 0
Let r(y) be the first derivative of -2*y**2 - 4 - 2/3*y**3 - 2*y. Factor r(x).
-2*(x + 1)**2
Suppose -166 = -5*f - 151. Find j, given that -2/13*j**2 - 2/13*j**f + 2/13*j**4 + 0 + 2/13*j = 0.
-1, 0, 1
Let z be (-20)/4*(-8)/10. Let d = 6 - z. Determine q so that -8*q**3 - 2 - 19*q**d + 24*q**4 + 4*q**3 + 16*q**5 - 12*q - 3*q**2 = 0.
-1, -1/2, 1
Let j(l) = -l**3 - 13*l**2 + 15*l + 17. Let k be j(-14). Let q(u) be the first derivative of 2/9*u**2 - 3 + 2/9*u + 2/27*u**k. Factor q(d).
2*(d + 1)**2/9
Let t(i) = -10*i - 4*i**3 + 6*i**3 - 8*i**2 - i**3 + 9. Let f be t(9). Factor 1/2*g**2 - 1/2*g + f.
g*(g - 1)/2
Let n = -1156152 + 391935971/339. Let w = 3/113 + n. Factor 2/3*y**4 - w*y**2 + 0 + 2/3*y**3 + 0*y.
2*y**2*(y - 1)*(y + 2)/3
Let q(l) be the third derivative of -1/84*l**6 - l**2 + 0*l - 1/245*l**7 + 0*l**3 - 1/210*l**5 + 0 + 1/84*l**4. Solve q(j) = 0 for j.
-1, 0, 1/3
Let h be ((-130)/(-39))/(2/(-3)) - -5. Factor 0 + h*k + 3/4*k**2.
3*k**2/4
Let h = 1 - -1. Let p = -36 + 110/3. What is f in 0*f**h + 0*f + p*f**4 - 2/3*f**3 + 0 = 0?
0, 1
Let a(w) be the third derivative of -3*w**2 + 0 + 0*w**4 - 1/450*w**5 + 0*w + 0*w**3. Factor a(p).
-2*p**2/15
Let u(w) be the first derivative of -w**6/25 + 2*w**5/25 - w**4/30 + w - 1. Let g(b) be the first derivative of u(b). Factor g(q).
-2*q**2*(q - 1)*(3*q - 1)/5
Let s = -3 + 1. Let v = 0 - s. Factor 0*m + 0*m + 2*m - 2*m**2 + v - 2*m**3.
-2*(m - 1)*(m + 1)**2
Let u = 752/5 - 150. Let b(p) be the first derivative of -1/3*p**4 - 1/9*p**6 - 3 + p**2 + 4/9*p**3 + 2/3*p - u*p**5. Factor b(q).
-2*(q - 1)*(q + 1)**4/3
Let r = 649 + -50621/78. Let n(m) be the second derivative of r*m**4 + 2/13*m**2 + 0 - 1/13*m**3 - 3*m. Factor n(s).
2*(s - 2)*(s - 1)/13
Let q(z) = -z**3 + z. Let y be 616/(-33) - (-4)/6. Let h(t) = -15*t**3 + 15*t. Let n(x) = y*q(x) + h(x). Let n(k) = 0. What is k?
-1, 0, 1
Let d(i) = i**2 - i - 1. Let z(k) = -2*k**2 + 4*k + 4. Let g(r) = r**2 - 8*r + 6. Let p be g(7). Let o(c) = p*z(c) - 4*d(c). Factor o(q).
-2*q**2
Let l = 75 - 73. Let b(r) be the first derivative of 0*r + 0*r**3 + 0*r**2 - 1/2*r**4 - 2/5*r**5 + l. Solve b(x) = 0.
-1, 0
Let m(b) be the third derivative of -b**6/240 + 7*b**5/600 - 8*b**2. Suppose m(x) = 0. What is x?
0, 7/5
Let k be 7/(-3) - (-4)/(-6). Let j be -1 + k*(1 + -2). Suppose 0*d**3 + 0*d**5 + 2*d**5 - j*d**3 = 0. Calculate d.
-1, 0, 1
Let g(q) = 7*q**3 - 8*q**2 - 3. Let x(p) = 36*p**3 - 40*p**2 - 16. Let z(c) = -16*g(c) + 3*x(c). Factor z(v).
-4*v**2*(v - 2)
Let q(i) be the third derivative of -i**8/2016 - i**7/1890 + i**6/216 + i**5/90 + i**4/24 - i**2. Let k(f) be the second derivative of q(f). Factor k(x).
-2*(x - 1)*(x + 1)*(5*x + 2)/3
Let z be 6 + (-124)/12 + 5. Solve 2/3*s - 2/3*s**3 - 1/2*s**2 - 1/6*s**4 + z = 0 for s.
-2, -1, 1
Solve 1/2*t + 3/8*t**2 + 0 - 1/8*t**3 = 0.
-1, 0, 4
Let a(n) be the first derivative of -10*n**4/9 + 2*n**3/9 + 2*n**2/9 - 14. Factor a(g).
-2*g*(4*g + 1)*(5*g - 2)/9
Determine x so that 10 - 62*x**3 + 19*x + 45*x**5 + 36*x - 38*x**3 + 50*x**2 - 60*x**4 = 0.
-1, -1/3, 1, 2
Let a(z) be the second derivative of -z**7/10080 + z**6/1440 - z**5/480 - z**4/4 - 2*z. Let u(b) be the third derivative of a(b). Suppose u(k) = 0. Calculate k.
1
Suppose -5*b - 5*y = -35, -b + 2*y = -0 - 1. Suppose -1