actor -3*w**4 - 4*w**2 + 1/3*w**5 + 20/3*w**3 + 0 + 0*w.
w**2*(w - 6)*(w - 2)*(w - 1)/3
Let s(l) = -3*l**4 - 13*l**3 - 12*l**2 + 2*l - 2. Let g(f) = -f**4 - f**3 + f**2 - f + 1. Let h(t) = 2*g(t) + s(t). Determine d, given that h(d) = 0.
-2, -1, 0
Let -288/13 - 210/13*g**2 + 464/13*g + 36/13*g**3 - 2/13*g**4 = 0. Calculate g.
1, 4, 9
Let t(w) = -w + 2. Let o be t(-2). Suppose -6*m + o*m = 2*y, m + 3 = 0. What is f in 0 + f**y - 5/4*f**2 - 1/4*f**4 + 1/2*f = 0?
0, 1, 2
Let g(h) = 132*h**4 + 51*h**3 - 594*h**2 - 249*h - 24. Let n(p) = -67*p**4 - 26*p**3 + 297*p**2 + 124*p + 12. Let r(d) = -4*g(d) - 9*n(d). Factor r(o).
3*(o - 2)*(o + 2)*(5*o + 1)**2
Let h(u) = u**3 + u. Let t(z) = -16*z**3 - 160*z**2 - 164*z + 64. Let k(o) = -12*h(o) + t(o). Factor k(x).
-4*(x + 2)*(x + 4)*(7*x - 2)
Let r be ((-288)/40)/2 + (11 - 7). What is t in -10 - 4*t - r*t**2 = 0?
-5
Suppose 0 = -12*k + 11*k. Factor -g**5 + k*g**3 + g**3 + 4*g**3 - 4*g**3.
-g**3*(g - 1)*(g + 1)
Let u(k) = k + 18. Let j be u(-15). Find t such that -14*t**2 + t**j + 6*t**2 - 4*t - 5*t**3 = 0.
-1, 0
Let c(z) be the third derivative of z**7/42 + 83*z**6/120 + 281*z**5/60 - 177*z**4/8 + 27*z**3 + 2*z**2 - 25*z. Factor c(d).
(d - 1)*(d + 9)**2*(5*d - 2)
Let s(x) be the third derivative of 0*x**3 + 0*x + 0 - 1/80*x**5 + 1/16*x**4 - 10*x**2. What is f in s(f) = 0?
0, 2
Factor 60*r + 331 - 179 - 200 - 24*r**2 + 3*r**3.
3*(r - 4)*(r - 2)**2
Let b(z) = 63*z + 441. Let y be b(-7). Let a(i) be the second derivative of 2/3*i**4 + y - 6*i + i**3 + 0*i**2 + 1/10*i**5. Factor a(w).
2*w*(w + 1)*(w + 3)
Let t = 6 - 16/3. Let w be 5 - (-1 + (-51)/(-9)). Determine d so that -w + 1/3*d**4 + 0*d**2 + t*d**3 - 2/3*d = 0.
-1, 1
Let g be (8 - -18)/((-2)/(-20)). Let f = 781/3 - g. Determine l so that 8/3*l + 16/3 + f*l**2 = 0.
-4
Let z(l) = -3*l + 3. Let i = 38 + -38. Let o be z(i). Suppose 2/7*b + 0 - 8/7*b**4 - 8/7*b**2 + 2/7*b**5 + 12/7*b**o = 0. What is b?
0, 1
Let f(t) = t**2 - 8*t + 10. Let u be f(6). Let i(j) = -6*j + 2. Let s be i(u). Let 40*r**2 + 14*r**4 - 36*r**3 + r**5 - s*r - 2*r - 3*r**5 = 0. Calculate r.
0, 1, 2
Let v(i) be the second derivative of 2*i**7/21 - 16*i**6/15 + 21*i**5/5 - 22*i**4/3 + 16*i**3/3 - 17*i. Determine q, given that v(q) = 0.
0, 1, 2, 4
Find h, given that -5 + 5 + 5718*h**2 + 70*h - 5713*h**2 + 0 = 0.
-14, 0
Suppose 0*c = 2*c - 20. Let y = -4 + c. Factor d - 4*d**2 + y*d**2 - 3*d**2.
-d*(d - 1)
Let n(x) be the second derivative of 0*x**3 + 0 - 5/3*x**4 + 15*x - 6*x**5 + 0*x**2 - 11/6*x**6. Factor n(m).
-5*m**2*(m + 2)*(11*m + 2)
Let m(f) be the second derivative of f**6/120 + 3*f**5/80 - 2*f**4/3 + 5*f**3/2 - 4*f**2 - 2*f - 13. Let m(t) = 0. Calculate t.
-8, 1, 2
Let f(v) be the third derivative of -v**7/140 + v**6/80 + 9*v**5/40 + 11*v**4/16 + v**3 - 4*v**2 - 21. What is u in f(u) = 0?
-1, 4
Let q = 11 + -7. Let p be (32/28 + -1)/(2*9/252). Factor 1/7*a**q + 0*a**3 + 0 - 1/7*a**p + 0*a.
a**2*(a - 1)*(a + 1)/7
Let b(f) be the second derivative of -2*f**3/3 + 8*f**2 + 37*f. Let i be b(4). Suppose 6/7*q**3 + i - 2/7*q - 4/7*q**2 = 0. What is q?
-1/3, 0, 1
Let o be (0/2)/(158 - 147). Find c such that 2/7*c**4 + o - 2/7*c - 6/7*c**3 + 6/7*c**2 = 0.
0, 1
Let f(h) be the third derivative of -1/160*h**6 + 0*h**4 + 0*h + 1/80*h**5 + 0 - 14*h**2 + 0*h**3. What is w in f(w) = 0?
0, 1
Let z(c) = -7*c**4 + 21*c**3 + 10*c**2 - 6*c + 6. Let s(x) = 20*x**4 - 61*x**3 - 30*x**2 + 17*x - 17. Let i(u) = 6*s(u) + 17*z(u). What is v in i(v) = 0?
-1, 0, 10
Let s = 1341 - 2681/2. Let -2*r - s*r**2 + 0 = 0. What is r?
-4, 0
Let n(f) be the second derivative of 0 + 3/10*f**5 - 16*f**2 - 13*f + 40/3*f**3 + 23/6*f**4. Factor n(u).
2*(u + 4)**2*(3*u - 1)
Let g be (-27)/2 + 2 - -12. Find n, given that 2 - 7/2*n + n**2 + g*n**3 = 0.
-4, 1
Let 162/7*i - 1/7*i**2 + 163/7 = 0. What is i?
-1, 163
Let r(m) be the first derivative of m**4/4 + m**3/3 - m**2/2 - 8. Let l be r(0). Suppose 9/8*s**3 + 0*s - 9/8*s**4 - 3/8*s**2 + l + 3/8*s**5 = 0. What is s?
0, 1
Let z(t) be the second derivative of -1/72*t**4 - 5/2*t**2 + 5*t - 1/180*t**5 + 0*t**3 + 0. Let q(w) be the first derivative of z(w). Factor q(x).
-x*(x + 1)/3
Let u(d) = -d**3 + 12*d**2 + 18*d - 30. Let r be u(13). Suppose -r = -10*m - 15. Factor -1/3*c**3 + 0 + 4/3*c**4 + c**5 - 2/3*c**m + 0*c.
c**2*(c + 1)**2*(3*c - 2)/3
Let z(h) be the second derivative of h**5/80 - h**4/16 - 11*h**3/3 + 134*h. Factor z(m).
m*(m - 11)*(m + 8)/4
Let d(u) be the second derivative of u**4/6 + 8*u**3/3 + 3*u - 1. Factor d(p).
2*p*(p + 8)
Let t(c) be the third derivative of -7*c**5/15 + 11*c**4/2 + 20*c**3/3 + 9*c**2 + 3*c. What is k in t(k) = 0?
-2/7, 5
Let u(g) = 4*g**2. Let j be u(-3). Let v = j + -34. Factor -16/3*s**3 + 44/9*s**v + 2/9 - 16/9*s + 2*s**4.
2*(s - 1)**2*(3*s - 1)**2/9
Suppose 0 = 77*v + 166 - 551. Let -2/19*p**3 + 6/19*p**4 - 2/19*p**v - 6/19*p**2 + 4/19*p + 0 = 0. What is p?
-1, 0, 1, 2
Let u(m) be the third derivative of m**6/30 + m**5/3 + 7*m**4/6 + 2*m**3 + 19*m**2 + 3*m. Suppose u(t) = 0. Calculate t.
-3, -1
Suppose 5*s + 2 - 1 = -2*q, 4*q - 3*s = 11. Factor -2*m**2 + 4*m**2 - m**2 - 18 + 3*m + q*m**2.
3*(m - 2)*(m + 3)
Let k(r) be the third derivative of -r**6/40 + r**5/20 - 2*r**2 + 31*r. Solve k(b) = 0 for b.
0, 1
Suppose 5*c - 144*m + 146*m - 14 = 0, -3*m = 3*c - 12. Let s(l) be the first derivative of -8 + 2*l**c - 7/4*l**4 + 4*l**3 + 0*l. Determine h so that s(h) = 0.
-2/7, 0, 2
Let s = -5 + 8. Suppose -2*c + 10 = s*b, 0 = 4*c + 5*b - 5 - 13. Factor -19*l - 3*l**3 + 3*l**3 + 15*l + 4*l**5 + 8*l**4 - 8*l**c.
4*l*(l - 1)*(l + 1)**3
Let c be ((-3)/(-9))/((-5)/44 + (-44)/(-176)). Factor 4/9 + 32/9*p**2 + 14/9*p**3 + c*p.
2*(p + 1)**2*(7*p + 2)/9
Factor 30*u**2 + 183*u - 352 - 20*u**2 - 14*u**2 + u.
-4*(u - 44)*(u - 2)
Let a = 1029/2050 + -2/1025. Suppose a*p + 1/2*p**2 - 1/2*p**3 + 0 - 1/2*p**4 = 0. What is p?
-1, 0, 1
Let h be 3 - (-3)/(-4) - (-2)/(-8). Factor -2*m + 3*m + 3*m - 2 - 4*m**h + 10*m**2.
2*(m + 1)*(3*m - 1)
Suppose 44*h - 40*h = 104. Factor h*r - r**2 + 0*r**2 - 27*r.
-r*(r + 1)
Let b(q) be the second derivative of q**4/30 + 18*q**3 + 3645*q**2 + 112*q. Determine m, given that b(m) = 0.
-135
Suppose 2*a - 267 = 3*a - 2*y, -4*a = -3*y + 1063. Let z = -1321/5 - a. Factor -4/5 + z*h + 4/5*h**2 - 4/5*h**3.
-4*(h - 1)**2*(h + 1)/5
Find u, given that -671*u - 778*u + 489*u + 75*u**2 + 3072 = 0.
32/5
Let l = 0 - 0. Suppose 2*h + 8 = 4, l = -4*u + 5*h + 62. Factor 2 - u - 1 - 12*k - 3*k**2.
-3*(k + 2)**2
Determine x, given that 2/19*x**3 + 18/19*x + 24/19*x**2 - 44/19 = 0.
-11, -2, 1
Let i = 35 + -29. Let f = -1 + i. Factor -3*a**5 + a**4 + f*a**4 - a**3 - 2*a**3.
-3*a**3*(a - 1)**2
Suppose 0 = 5*b - 25. Suppose 5*f - b*o - 3 = -4*o, -3*f - 12 = 4*o. Suppose 0*v + 0*v**2 + f + 1/3*v**3 = 0. What is v?
0
Let k(m) be the second derivative of m**5/110 + 5*m**4/66 - 13*m**3/33 + 7*m**2/11 - 103*m. Factor k(h).
2*(h - 1)**2*(h + 7)/11
Let z(v) be the third derivative of v**7/315 - v**6/90 - 2*v**5/45 + 2*v**4/9 + 71*v**2. Factor z(w).
2*w*(w - 2)**2*(w + 2)/3
Let s(l) be the third derivative of l**7/5880 + l**6/504 + l**5/210 + 3*l**3/2 + 22*l**2. Let u(x) be the first derivative of s(x). Factor u(d).
d*(d + 1)*(d + 4)/7
Let z = 1881 + -15067/8. Let i = -17/8 - z. Factor -i*o - 1/2 + 15/4*o**2 - 19/4*o**3 + 7/4*o**4.
(o - 1)**3*(7*o + 2)/4
Let 280*l**4 + 320*l + 41*l**5 + 294*l**3 + 960*l**2 - 128 - 31*l**5 + 26*l**5 + 506*l**3 = 0. Calculate l.
-2, 2/9
Let t(q) be the third derivative of 0 - 1/64*q**4 + 0*q - 1/160*q**5 + 36*q**2 + 1/8*q**3. Solve t(s) = 0 for s.
-2, 1
Let s(w) be the second derivative of w**7/3360 + w**6/720 + w**5/480 + 11*w**3/6 + 4*w. Let y(f) be the second derivative of s(f). Suppose y(z) = 0. What is z?
-1, 0
Factor -1/7*h**4 + 6/7*h**3 + h**2 + 0 + 0*h.
-h**2*(h - 7)*(h + 1)/7
Let k(t) be the second derivative of -t**7/63 + 2*t**6/45 + t**5/6 - t**4/3 - 6*t - 10. Suppose k(q) = 0. Calculate q.
-2, 0, 1, 3
Let i be (-13)/3 - -5 - (-104)/(-3). Let q = i - -34. Factor 2/13*n**5 + 0*n**3 + 4/13*n**4 - 4/13*n**2 - 2/13*n + q.
2*n*(n - 1)*(n + 1)**3/13
Let u = -20598 + 20598. Suppose 1/7*m**3 - 2/7*m**4 + 0*m**2 + 0 + 1/7*m**5 + u*m = 0. What is m?
0, 1
Let g(v) be the first derivative of v - 7/4*v**2 - 5/8*v**4 - 5 + 3/2*v**3 + 