s w?
-1, 1/4, 1, 2
Let i = -15328 + 15333. Solve -8/9*z - 76/9*z**3 + 52/9*z**4 - 4/3*z**i + 0 + 44/9*z**2 = 0 for z.
0, 1/3, 1, 2
Solve -7*f**2 + 4*f**3 - 13*f**2 + 8*f**2 - 4*f + 12 = 0 for f.
-1, 1, 3
Let n(o) = o**3 - 19*o**2 + 63*o - 45. Let s be n(15). Factor -1/2*t + s + 3/2*t**3 + t**2.
t*(t + 1)*(3*t - 1)/2
Let p be 74/(-111) - (0 + (-8)/(-6)). Let n be ((-256)/28)/(-4) + p. Factor -2/7*k**2 - n*k + 4/7.
-2*(k - 1)*(k + 2)/7
Let y(b) be the second derivative of -b**3/3 + b**2 - 3*b. Let l be y(0). What is r in -8*r**4 - 3*r**3 + 8 + 30*r**l + r**3 + 32*r - r**3 - 5*r**3 = 0?
-2, -1/2, 2
Let r(s) = 5*s**4 - 19*s**3 - 13*s**2 + 53*s - 30. Let t(k) = -110*k**4 + 420*k**3 + 285*k**2 - 1165*k + 660. Let b(u) = -45*r(u) - 2*t(u). Factor b(g).
-5*(g - 3)*(g - 1)**2*(g + 2)
Let m(k) = -k**3 - 7*k**2 + 2. Suppose 0 = 2*l - 4*z - 0*z + 10, -3*z = -3*l - 18. Let d be m(l). Factor -s**2 - s**3 + d*s - 5*s + 4*s + s.
-s*(s - 1)*(s + 2)
Let w(x) be the first derivative of x**7/840 - x**6/60 + 3*x**5/40 - 32*x**3/3 - 27. Let b(m) be the third derivative of w(m). Suppose b(l) = 0. Calculate l.
0, 3
Let v(t) = 6*t - 27. Let u be v(5). Let s = -936 + 940. Factor 2*a**u + 0*a - 4/3*a**2 - 2/3*a**s + 0.
-2*a**2*(a - 2)*(a - 1)/3
Let r be 2/12 - (-6 - 4772/24). Let z = r + -817/4. Factor 3/4 - 3/2*d + z*d**2.
3*(d - 1)**2/4
Find a, given that 2/13*a**5 + 0 - 8/13*a**4 + 24/13*a + 8/13*a**2 - 2*a**3 = 0.
-2, -1, 0, 1, 6
Let -3*l**5 - 6*l - 2*l**4 - 3*l + 2*l**2 + 4*l**3 - 3*l + 11*l = 0. Calculate l.
-1, 0, 1/3, 1
Let d = 44067 - 88131/2. Determine b, given that 12 + 21/2*b**2 - d*b**3 - 21*b = 0.
1, 2, 4
Let c(r) = r + 15. Let u(d) = d**3 - 7*d**2 - d - 6. Let w be u(7). Let h be c(w). Determine b, given that -2*b + 1/2*b**4 + 2/3 + 4/3*b**3 - 1/2*b**h = 0.
-2, 1/3, 1
Let b(i) be the first derivative of 7 + i**4 + 4/7*i**5 - 2*i**2 - 4/7*i**3 - 8/7*i. Let b(z) = 0. What is z?
-1, -2/5, 1
Let c(f) be the first derivative of -f**2/2 - 2*f + 5. Let o be c(-5). Factor 2/9*i**4 + 2/3*i**2 + 0 - 2/9*i - 2/3*i**o.
2*i*(i - 1)**3/9
Factor 1/3*f**2 + 0 - 61/3*f.
f*(f - 61)/3
Let h(n) = -n - 3. Let t be h(-5). Suppose 0 = -w + p + 7, 5*w - t*p - 30 = 2*p. Factor l**4 + 98*l - 95*l + 2*l**4 + 9*l**3 + 9*l**w.
3*l*(l + 1)**3
Let v(p) be the second derivative of -5/3*p**3 - 1/6*p**4 + 0 + 6*p**2 - 9*p. Factor v(q).
-2*(q - 1)*(q + 6)
Find b, given that 125*b**5 - 2 + 40*b - 30*b**3 + 15 - 6 - 7 - 140*b**2 + 275*b**4 = 0.
-2, -1, 0, 2/5
Let b(t) = -t**3 - 2*t**2 + 3*t. Let m be b(-3). Suppose 2*c - 9*c + 14 = m. Factor 2/3*w**4 - 2/3*w**3 + 0 + 2/3*w - 2/3*w**c.
2*w*(w - 1)**2*(w + 1)/3
Suppose 125/4*z**4 + 50 + 35*z - 15/2*z**5 - 135/2*z**2 - 55/4*z**3 = 0. Calculate z.
-1, -5/6, 2
Suppose 4*o = 3 + 5. Solve -2 - 6*b - 2*b**3 + 2*b**o + 9*b - b = 0.
-1, 1
Let f(x) be the first derivative of x**4/2 - 40*x**3/3 + 19*x**2 + 123. Factor f(t).
2*t*(t - 19)*(t - 1)
What is d in 869*d**2 - 2*d - 868*d**2 - 2*d - 21 = 0?
-3, 7
Let z(w) be the third derivative of 40*w**2 + 0 - 1/105*w**5 + 16/21*w**3 + 0*w - 1/6*w**4. Determine k, given that z(k) = 0.
-8, 1
Suppose 6*b = 3*b - 102. Let z = b - -49. Find v, given that -4*v + 7*v**2 + v**3 - z*v**2 - 5*v**3 = 0.
-1, 0
Let p be (1 - (-26)/(-24))/(573/(-4584)). Determine i so that -2/3*i**3 + p*i + 0 + 0*i**2 = 0.
-1, 0, 1
Suppose -c + 2*h = c - 8, 0 = c + 5*h + 2. What is p in p**3 - 2*p**c - 6*p + 3*p**3 + 4 + 0*p**3 = 0?
-2, 1
Solve w**4 + 0*w**4 - 5*w**4 + 7*w**5 - 9*w**5 = 0.
-2, 0
Let g(d) be the second derivative of 0*d**2 + 2/5*d**5 + 0 + 1/3*d**3 + 5/6*d**4 + 7*d. Factor g(a).
2*a*(a + 1)*(4*a + 1)
Suppose 0 = -2*f + 3*f + 4. Let i be ((-11)/(-66))/((-2)/f). Determine m, given that -1/3*m**3 + i*m - 1/3 + 1/3*m**2 = 0.
-1, 1
Find h, given that 1/10*h**2 - 3/10*h + 1/5 = 0.
1, 2
Factor -14419 - 242*f + 788 + 34*f**2 - 1010 - 35*f**2.
-(f + 121)**2
Let t(x) = 5*x**2 + 16*x - 10. Let o(m) be the first derivative of 4*m**3/3 + 17*m**2/2 - 10*m - 21. Let r(d) = 6*o(d) - 4*t(d). Find a, given that r(a) = 0.
-10, 1/2
Let h(u) be the third derivative of -u**5/60 - u**4/3 - 8*u**3/3 + 159*u**2. Let h(n) = 0. Calculate n.
-4
Suppose -3*r = -f + 793, -r + 2*f = -2*f + 246. Let i = r - -269. Factor -4/5*h**4 + 0*h**i + 0 + 2/5*h - 2/5*h**5 + 4/5*h**2.
-2*h*(h - 1)*(h + 1)**3/5
Determine n, given that -123/10*n**3 - 121/10*n**2 - 43/10*n**4 + 0 - 1/10*n**5 - 4*n = 0.
-40, -1, 0
Suppose -93*u + 25*u = -173 + 173. Factor -s**2 - 2/3*s**4 + u*s + 0 - 7/3*s**3.
-s**2*(s + 3)*(2*s + 1)/3
Let z(m) be the third derivative of m**6/600 - m**5/60 + m**4/60 + 4*m**3/15 + 2*m**2 - 166*m. Factor z(a).
(a - 4)*(a - 2)*(a + 1)/5
Let r(a) be the third derivative of 0*a + 0 - 3/40*a**4 - 1/5*a**3 + 6*a**2 - 1/100*a**5. Let r(n) = 0. What is n?
-2, -1
Suppose -184 = 11*i - 30. Let o be ((-8)/i)/(5/35). What is v in 4/5*v**2 + 0*v + 12/5*v**o - 4/5*v**5 + 0 - 12/5*v**3 = 0?
0, 1
Let t(d) be the third derivative of -d**7/105 - 17*d**6/300 + 7*d**5/75 + 2*d**4/15 - 83*d**2. Determine g, given that t(g) = 0.
-4, -2/5, 0, 1
Let p(m) be the second derivative of -2/3*m**3 + 4*m**2 - 1/3*m**4 + 0 + 4*m. Factor p(u).
-4*(u - 1)*(u + 2)
Let r(f) = -f**2 - f + 7. Let z be r(-4). Let d be (-25)/(-15) + z/(-15). Factor -3/8*w**d + 0*w + 3/2.
-3*(w - 2)*(w + 2)/8
Let w = 110 + -106. Find y, given that -24*y**2 - 10 - 24*y**w + 4*y**3 + 51*y**4 + 28*y - 25*y**4 = 0.
-5, 1
Let q(d) = d**3 + 37*d**2 + 28*d + 2. Let g(n) = 3*n**3 + 150*n**2 + 111*n + 9. Let k(z) = -2*g(z) + 9*q(z). Factor k(r).
3*r*(r + 1)*(r + 10)
Let d be 4 - 0 - (800/(-60))/(-5). Determine c so that -4/3*c**5 + 0*c + 0 - d*c**3 - 8/3*c**4 + 0*c**2 = 0.
-1, 0
Suppose 4*g - 5*g - 31 = -4*u, 0 = u. Let y = -154/5 - g. Factor -2/5*b**3 - 1/5 - 1/5*b**4 + 1/5*b**5 + 2/5*b**2 + y*b.
(b - 1)**3*(b + 1)**2/5
Let q(s) be the first derivative of -13 + 2/51*s**3 + 0*s + 0*s**2. Factor q(t).
2*t**2/17
Let g(d) be the first derivative of 4*d**3/3 - 2*d**2 - 48*d + 21. Factor g(z).
4*(z - 4)*(z + 3)
Let x(h) be the first derivative of -5/2*h + 31 + 5/8*h**2 - 5/16*h**4 + 5/6*h**3. Factor x(p).
-5*(p - 2)*(p - 1)*(p + 1)/4
Let d(i) be the second derivative of 0*i**6 - 1/2*i**3 - 3/10*i**5 + 2/3*i**4 + 0*i**2 + 1/42*i**7 - 3*i + 0. Factor d(w).
w*(w - 1)**3*(w + 3)
Suppose -9*w + 6 = -7*w. Suppose 0 = -0*o + w*o - 15. Factor 0*b**4 + 0*b**2 - 2/7*b + 0 + 4/7*b**3 - 2/7*b**o.
-2*b*(b - 1)**2*(b + 1)**2/7
Suppose 0*x = 3*x - 30. Factor 25*n**5 + 33*n**4 + x*n**2 + 39*n**4 - 12*n**4 + 45*n**3.
5*n**2*(n + 1)**2*(5*n + 2)
Let n(c) be the third derivative of -c**7/1155 - 13*c**6/660 - c**5/10 + 7*c**4/12 + 98*c**3/33 + 163*c**2. Find p, given that n(p) = 0.
-7, -1, 2
Let t(h) be the second derivative of -2*h**6/27 - h**5/15 + 2*h**4/27 + 2*h - 3. Determine p so that t(p) = 0.
-1, 0, 2/5
Let 12*h - 27/2*h**3 - 18 + 3/2*h**5 - 3/2*h**4 + 39/2*h**2 = 0. Calculate h.
-3, -1, 1, 2
Let u(x) be the first derivative of 2*x**5/5 + x**4/2 - 20*x**3/3 + 8*x**2 - 51. Factor u(o).
2*o*(o - 2)*(o - 1)*(o + 4)
Let m = 6308 - 44148/7. Factor -8/7 + 44/7*q**3 - 44/7*q + m*q**2.
4*(q - 1)*(q + 1)*(11*q + 2)/7
Suppose -2*o + 0*b = -2*b - 6, 3*o - 7 = 4*b. What is t in 30*t**2 + o + 59 + t**5 + 176*t + 14*t**4 + 73*t**3 + 142*t**2 = 0?
-4, -1
Let b be (35500/201 - 6)/(160/3). Let o = 1/1072 + b. Suppose -24/5*l - 12/5*l**2 - 2/5*l**3 - o = 0. What is l?
-2
Let s(f) = f**2 - 127*f - 124. Let m(w) = -2*w**2 + 383*w + 374. Let k(h) = -4*m(h) - 11*s(h). Factor k(l).
-3*(l + 1)*(l + 44)
Let j = 820 + -32799/40. Let q(m) be the third derivative of -9*m**2 + 1/20*m**5 + 0 + 0*m - 1/8*m**4 + j*m**6 - 1/2*m**3. Factor q(g).
3*(g - 1)*(g + 1)**2
Factor 3/2*z**3 + 1/2*z**5 + 0 - 1/2*z**2 - 3/2*z**4 + 0*z.
z**2*(z - 1)**3/2
Let d(m) be the third derivative of -m**8/1344 + m**7/280 + 17*m**6/480 + 3*m**5/80 - m**4/6 - m**3/2 + 4*m**2 - 11. Solve d(u) = 0.
-2, -1, 1, 6
Suppose -13*w + 20 = -8*w. Solve -6*m**2 - 4*m**3 + 7*m**3 + 26*m**w - 17*m**4 = 0.
-1, 0, 2/3
Let z be -1 + (-12)/3 - -9. Let r(q) be the third derivative of 0*q**z + 3*q**2 - q**3 + 1/40*q**5 + 0*q + 0. Factor r(v).
3*(v - 2)*(v + 2)/2
Let j be (-178)/(-720)*1 + (-280)/1260. Let t(z) be the third derivative of j*z**6 + 3/2*z**3 + 1/20*z**5 + 0*z + 5*z**2 + 0 - 5/8*z**4. Factor t(w).