f n(x). Suppose z(g) = 0. What is g?
-1, 0, 1/4
Suppose f + f = 6. Let l = 9 - 6. Factor -2*c + 14*c**l + c**4 - 1 - 6*c**f - 6*c**3.
(c - 1)*(c + 1)**3
Factor 2/19*z**3 - 96/19*z + 26/19*z**2 + 0.
2*z*(z - 3)*(z + 16)/19
Let c(k) be the second derivative of -k**4/48 + 11*k**3/24 + 106*k. Factor c(o).
-o*(o - 11)/4
Let f = -13 + 13. Suppose -3*l + 1 = -d, f = 3*l - 2*d - 2. Solve 0 - 3/2*v**2 + l*v + 3/4*v**3 = 0 for v.
0, 2
Suppose -3 = -2*g + 4*j - 7*j, -5*g + 11 = 4*j. Let a(o) be the third derivative of -1/30*o**5 + 0*o + 0*o**4 - 3*o**2 + 0*o**g + 0. Factor a(v).
-2*v**2
Let j(t) = -t**2 - 9*t - 17. Let d be j(-4). Find c, given that -3*c**2 - 3*c**2 + 178*c**d - 175*c**3 + 3*c = 0.
0, 1
Determine g, given that -55*g + 17*g**2 - 5*g**3 - 25 + 7*g**2 - 59*g**2 = 0.
-5, -1
Let l(u) = -4*u**4 + 4*u**3 + 16*u**2 - 16. Let m(j) = j**3 + j**2 - 2. Let q(o) = -l(o) + 8*m(o). Factor q(x).
4*x**2*(x - 1)*(x + 2)
Let m(f) = -f**2 - 3*f - 2. Let w be m(-2). Let o = -530016/7 + 75717. Factor w - o*c**5 + 24/7*c**4 - 27/7*c + 72/7*c**2 - 66/7*c**3.
-3*c*(c - 3)**2*(c - 1)**2/7
Let g = -6 - -9. Factor -2 + 75*s**3 - 4 - 2*s**2 - 13*s - 73*s**3 + g*s.
2*(s - 3)*(s + 1)**2
Let u(m) be the third derivative of 5/6*m**4 + 4/3*m**3 + 0*m - 4/5*m**5 + 1/30*m**6 + 0 + 8/105*m**7 - 4*m**2. Factor u(i).
4*(i - 1)**2*(i + 2)*(4*i + 1)
Let p = 4 + -4. Let n be 5 - ((-30)/50)/((-2)/15). What is k in p + n*k - 3*k**4 + 0*k**2 - 7/2*k**3 = 0?
-1, -1/2, 0, 1/3
Let v(t) be the second derivative of 0 + 0*t**3 - 1/60*t**4 + 0*t**2 + 10*t + 0*t**5 + 1/150*t**6. Find u such that v(u) = 0.
-1, 0, 1
Let k(l) = 5*l - 4. Let n be k(8). Let z be (5 + n/(-8))/(1/4). Factor 1/2 + 1/2*v**z + v.
(v + 1)**2/2
Let i(k) be the first derivative of 1 + 0*k**2 - 2*k + 2/3*k**3. Factor i(n).
2*(n - 1)*(n + 1)
Suppose 3*a**4 + 5/3*a**5 - 17/3*a**2 + 8*a - 4/3 - 17/3*a**3 = 0. What is a?
-2, 1/5, 1
Let o be 8/3*3/2. Suppose -o*m = m + 2*y - 21, -5*m + 4*y + 3 = 0. Let -20*h - 7*h**2 - 8 - m*h**3 - 9*h**2 - h**3 = 0. Calculate h.
-2, -1
Let d(b) be the first derivative of 0*b + 3/14*b**3 - 1/28*b**4 + 7/2*b**2 + 11 + 1/420*b**5. Let j(x) be the second derivative of d(x). What is y in j(y) = 0?
3
Let f = 4/87 + 122/1131. Let d be -3 - ((-160)/26 - -3). Factor d*a**3 - f*a + 0 + 0*a**2.
2*a*(a - 1)*(a + 1)/13
What is k in 222*k - 95*k - 119*k + 64*k**2 + 98*k**4 + 154*k**3 = 0?
-1, -2/7, 0
Let q = -1480 - -1495. Let o(z) be the first derivative of -5/3*z**3 - 2 - q*z - 10*z**2. Factor o(x).
-5*(x + 1)*(x + 3)
Let m = 464878/23 - 20212. Let 0*o**2 - m*o + 0 + 2/23*o**3 = 0. Calculate o.
-1, 0, 1
Factor 31*f - 134*f - 166*f - 3*f**2 - 52*f + 324.
-3*(f - 1)*(f + 108)
Let i = 38 + -22. Let -11*t - 6*t - 15*t - i + 20*t**2 = 0. Calculate t.
-2/5, 2
Let a = -25/72 - -161/360. Factor -a*q**2 + 1/10*q + 0.
-q*(q - 1)/10
Let o(c) = 8*c**4 - 10*c**2 + 18*c - 22. Let p(g) = 15*g**4 - g**3 - 19*g**2 + 37*g - 43. Let s(m) = 11*o(m) - 6*p(m). Suppose s(z) = 0. Calculate z.
-2, 1, 2
Let h(b) be the third derivative of -b**8/4200 - b**7/2100 + b**6/450 + 20*b**3/3 - 18*b**2. Let p(j) be the first derivative of h(j). What is u in p(u) = 0?
-2, 0, 1
Let t(z) = 1. Let u(k) = -k**2 - 1. Let w(b) = -7*b**2 - 2*b - 15. Let q(y) = 24*u(y) - 3*w(y). Let p(x) = q(x) + 3*t(x). Factor p(j).
-3*(j - 4)*(j + 2)
Let u(l) be the third derivative of 1/40*l**5 + 0*l + 1/3*l**3 + 1/360*l**6 + 1/12*l**4 - 6*l**2 + 0. Let o(h) be the first derivative of u(h). Factor o(q).
(q + 1)*(q + 2)
Let b(v) be the third derivative of -v**10/7560 + v**8/840 - v**6/180 - 13*v**4/24 - 4*v**2. Let g(q) be the second derivative of b(q). Solve g(w) = 0 for w.
-1, 0, 1
Solve -12/13 + 14/13*o - 2/13*o**2 = 0.
1, 6
Let -36 + 3/2*i**5 + 153*i**3 - 222*i**2 + 291/2*i - 42*i**4 = 0. What is i?
1, 24
Let -11/3*i**4 + 2 - 31/3*i + 25/3*i**2 - 4/3*i**5 + 5*i**3 = 0. Calculate i.
-3, -2, 1/4, 1
Factor -985*z**2 + 3044*z + 14*z**3 - 5309*z + 18*z**3 - 350 - 2*z**3.
5*(z - 35)*(z + 2)*(6*z + 1)
Let k(g) be the second derivative of g**5/20 - g**4/8 - g**3 + g**2/2 + 12*g. Let n(f) be the first derivative of k(f). Determine s so that n(s) = 0.
-1, 2
Suppose 19*d - 52 - 5 = 0. Let g(z) be the third derivative of 0*z**d + 0*z + 0 - 1/54*z**4 + 1/540*z**6 + 1/270*z**5 + z**2. Determine r, given that g(r) = 0.
-2, 0, 1
Suppose -27 + 43 = 4*d. Factor -14*x**2 + 15*x**2 + 2*x - d - 3*x + 4*x.
(x - 1)*(x + 4)
Suppose 0 + 3/7*q**3 - 13/7*q**2 - 10/7*q = 0. What is q?
-2/3, 0, 5
Let w(b) be the third derivative of b**5/270 - 5*b**4/9 + 59*b**3/27 + 369*b**2. What is h in w(h) = 0?
1, 59
Find m, given that 0 - 32/13*m**2 + 14/13*m**3 - 2/13*m**4 + 24/13*m = 0.
0, 2, 3
Let h be 32/36*(-3)/(-2). Let k be ((-26)/(-7) - 3) + 24/84. Factor 4/3*z**3 - h*z - z**2 + k.
(z - 1)*(z + 1)*(4*z - 3)/3
Let s(q) be the third derivative of 5*q**8/224 + 5*q**7/84 - q**6/3 - q**5/2 - 2*q**2 + 146*q. Suppose s(g) = 0. What is g?
-3, -2/3, 0, 2
Let t(w) be the first derivative of -2*w**3/27 + 16*w**2/9 + 8*w + 154. Factor t(c).
-2*(c - 18)*(c + 2)/9
Let l = 27 - 21. Let f be 4/8 - l/(-4). Find i such that 3*i**4 + 4 + 2*i**5 - 10*i**2 + 0 + i**3 + 3*i**f - 3*i**5 = 0.
-1, 1, 2
Let y(q) be the first derivative of -3/4*q**2 + q + 1/6*q**3 + 2. Factor y(t).
(t - 2)*(t - 1)/2
Suppose -17*y + 30 = -12*y. What is k in 6*k**2 - 6*k - 4*k**2 - 3 + y*k**3 + k**2 = 0?
-1, -1/2, 1
Let v be 1/3 + (-290)/(-30). Find o, given that -468*o**5 + 60*o**2 - 9*o - 27*o + v*o**4 + 467*o**5 - 37*o**3 = 0.
0, 2, 3
Suppose -3*o + 6*z + 9 = z, -z = 3*o - 9. Suppose -5*u + 3 + 23 = -4*w, w = -2*u. Solve -12 - 89*a**2 - 48*a - 19*a**u - 24*a - 54*a**o - 4 = 0.
-2/3
Factor -24/7*n**2 - 2/7*n**4 - 20/7*n - 6/7 - 12/7*n**3.
-2*(n + 1)**3*(n + 3)/7
Suppose -2*q**4 + 29*q**4 - 5*q**5 - 7*q**4 + 10*q**2 - 23*q**3 - 2*q**3 = 0. Calculate q.
0, 1, 2
Solve 0*r**2 - 211*r + 2*r**2 + 207*r = 0 for r.
0, 2
Let m = 16398 - 16396. What is u in -u + 6/5*u**m + 0 - 1/5*u**3 = 0?
0, 1, 5
Let k(a) be the first derivative of -a**5 + 95*a**4/2 - 365*a**3/3 + 90*a**2 - 516. Factor k(o).
-5*o*(o - 36)*(o - 1)**2
Let g be (7/21)/((-3)/(-18)). Factor -4*w**5 + w**3 - g*w**3 - 8*w**4 - 9*w**3 + 6*w**3.
-4*w**3*(w + 1)**2
Let h(m) = 140*m - 276*m + 138*m - 7. Let s be h(5). Determine k so that 8/3*k - 16/3 - 2/3*k**s + 4/3*k**2 = 0.
-2, 2
Factor 32/9*x - 1/9*x**5 - 5/9*x**4 + 16/9 + 16/9*x**2 - 4/9*x**3.
-(x - 2)*(x + 1)*(x + 2)**3/9
Let n(g) = -g**3 + 7*g**2 - 11*g + 30. Let s be n(6). Suppose -11/3*c**4 - 1/3*c**2 + 1/3*c + s - 3*c**3 - 4/3*c**5 = 0. Calculate c.
-1, 0, 1/4
Let s(n) be the third derivative of n**7/420 - n**6/90 + n**5/60 - 8*n**3/3 - 12*n**2. Let o(d) be the first derivative of s(d). Factor o(w).
2*w*(w - 1)**2
Suppose 3*r - 13*r = 38*r. Factor 4/21*k**3 + 2/21*k**4 + 0*k + 0 + r*k**2.
2*k**3*(k + 2)/21
Let w(g) = g**2 - 32*g + 2. Let r(i) = -4*i**2 + 158*i - 11. Let q(h) = 2*r(h) + 11*w(h). Find z, given that q(z) = 0.
0, 12
Determine a so that 0 + 16/7*a**2 - 10/7*a**3 - 8/7*a + 2/7*a**4 = 0.
0, 1, 2
Let d = 57 + -49. Factor 12*c**3 - 30*c**2 - 4*c**3 + 21*c + d + 3*c.
2*(c - 2)**2*(4*c + 1)
Suppose 3*z + 11 = 17. Let j = 13 - 13. Factor 3/2*o**4 + 9/2*o**z - 9/2*o**3 + j - 3/2*o.
3*o*(o - 1)**3/2
Let o(n) = 6*n**3 - 19*n**2 + n. Let m(y) = -y**3 + 3*y**2. Suppose 3 = -d + 2*d, 0 = 2*h + 3*d + 69. Let v(l) = h*m(l) - 6*o(l). Factor v(k).
3*k*(k - 2)*(k + 1)
Suppose 25*y = -56*y + 243. Factor 4/7 + 16/7*a**y + 16/7*a + 4/7*a**4 + 24/7*a**2.
4*(a + 1)**4/7
Let c be (1 - 2/6*-10) + (-47)/141. Let 4/9*x**2 - 4/9*x**3 - 2/3*x**c - 2/9*x**5 + 2/3*x + 2/9 = 0. Calculate x.
-1, 1
Let x(q) be the second derivative of -7*q**4/8 - 29*q**3/4 + 27*q**2 + 2*q + 19. Factor x(j).
-3*(j - 1)*(7*j + 36)/2
Let q(x) = -8*x**2 - 4*x - 18. Let c(u) = -11*u**2 - 4*u - 17. Let i(r) = 3*c(r) - 4*q(r). What is k in i(k) = 0?
-3, 7
Solve 26 + 118 - 403*r + 3*r**2 + 445*r = 0.
-8, -6
Let h(r) = -6*r**3 + 18*r**2 - 7*r + 5. Let p(b) = -15*b**3 + 45*b**2 - 18*b + 12. Let d(y) = 12*h(y) - 5*p(y). Factor d(o).
3*o*(o - 2)*(o - 1)
Suppose 52 = -6*d + 19*d. Factor 3/2*l**3 + 3/8 + 9/4*l**2 + 3/8*l**d + 3/2*l.
3*(l + 1)**4/8
Let k(n) be the third derivative of 0 - 1/60*n**5 + 0*n**3 + 0*n**4 - 1/24*n**6 - 1/112*n**8 - 1/30*n**7 + 0*n + 14*n**2. Fin