 + 0*j**2 - 1/6*j**6 - 1/4*j**5. Find m, given that f(m) = 0.
-1, 0, 1
Find x, given that 23*x**2 + 3*x**5 - 15*x**4 - 6*x**3 + 27*x**2 + 2*x**5 - 14*x**3 + 10*x**2 = 0.
-2, 0, 2, 3
Let z(h) be the first derivative of 2*h**3/27 + h**2 + 73. Factor z(o).
2*o*(o + 9)/9
Solve -107*f**2 + 34*f**2 + 33*f**2 + 36*f**2 + 56*f + 204 = 0.
-3, 17
Let 6*d**2 + 35*d + 443 + 4*d**2 - 5*d**3 - 423 = 0. What is d?
-1, 4
Let y(g) be the second derivative of 3*g**5/160 - 3*g**4/8 - 2*g - 10. Let y(o) = 0. What is o?
0, 12
Suppose -w - 149 = -6*n + 11*n, w = -2*n - 155. Let t = 345/2 + w. Factor -t - 3/2*k**2 + 9*k.
-3*(k - 3)**2/2
Let b be (-38)/(-8) - (-3)/12. Suppose 16 = 4*a - 2*a. Factor 0*c**5 - a*c + 4*c**b + c**4 - 4 + 5*c**3 - c**2 - 5*c**5.
-(c - 2)**2*(c + 1)**3
Let x be (-4)/((-8)/14) + (21 - 24). Let n = 23 - 23. Factor 0 + 1/4*i**x + n*i + i**2 - i**3.
i**2*(i - 2)**2/4
Suppose n + 12 = 3*n. What is z in -28*z**3 + 53*z**3 - 28*z**3 - n + 9*z = 0?
-2, 1
Let p be ((-11)/4)/(6/(-8)). Let r = 24364 - 24361. Find i, given that 2/3 + 19/3*i**2 - p*i - 13/3*i**r + i**4 = 0.
1/3, 1, 2
Let b(k) = k**5 + k**4 - 16*k**3 + 4*k**2 - 11*k - 7. Let i(u) = -u**3 - u**2 - u - 1. Let g(h) = 2*b(h) - 14*i(h). Factor g(y).
2*y*(y - 1)**3*(y + 4)
Suppose -4*h = -3*n - 35, -49 = 5*n - 3*h + 24. Let c = n - -17. Suppose c*m**3 - 1/3*m**4 + 2/3*m**2 - 1/3 + 0*m = 0. What is m?
-1, 1
Factor -m**2 + 9*m**3 - m - 3*m**2 + 11*m**3 + 10*m - 29*m + 4*m**4.
4*m*(m - 1)*(m + 1)*(m + 5)
Let w(s) be the second derivative of -s**7/630 - s**6/60 - s**5/15 - s**4/2 + 19*s. Let a(n) be the third derivative of w(n). Factor a(k).
-4*(k + 1)*(k + 2)
Let w be (5 - (-630)/(-125))*10/(-12). Let h(s) be the first derivative of 0*s**3 - 1/6*s**2 + 7 + 1/6*s - w*s**5 + 1/12*s**4. Find a such that h(a) = 0.
-1, 1
Suppose -116*m + 123*m = -262*m - 228*m. Factor 3/5*l**4 + m*l + 6/5*l**2 - 9/5*l**3 + 0.
3*l**2*(l - 2)*(l - 1)/5
Let i(m) be the third derivative of -m**7/630 - m**6/24 + 17*m**5/180 + 5*m**4/24 - 8*m**3/9 + 21*m**2. Factor i(t).
-(t - 1)**2*(t + 1)*(t + 16)/3
Let q(y) be the second derivative of -25*y**4/24 - 20*y**3/3 - 16*y**2 + 470*y. Factor q(m).
-(5*m + 8)**2/2
Suppose 27*q - 7*q + 553 = 633. Solve -8/9*l**4 + 4*l**3 + q*l - 8/9 - 56/9*l**2 = 0.
1/2, 1, 2
Suppose -6/7*r - 8/7*r**3 + 19/7*r**2 + 0 - 5/7*r**4 = 0. What is r?
-3, 0, 2/5, 1
Let n = -10150 - -71052/7. Factor 0*l**4 + 0 - 4/7*l**3 + n*l + 0*l**2 + 2/7*l**5.
2*l*(l - 1)**2*(l + 1)**2/7
Let t(a) be the third derivative of -5*a**8/336 + a**7/42 + 107*a**2. Factor t(c).
-5*c**4*(c - 1)
Let b(h) be the first derivative of -2/13*h - 1 - 5/13*h**2 - 8/39*h**3. Factor b(v).
-2*(v + 1)*(4*v + 1)/13
Let d be (-17)/102 + 2/12 + 2. Let -t**2 + 4 + 3*t**5 - 1 + 9*t - 9 - 12*t**3 + 7*t**d = 0. Calculate t.
-2, -1, 1
Suppose -3 = -4*u + 3*j + 22, 5*u - 5 = -5*j. Factor 1909*a**u - 1679*a**5 - 1512*a**3 + 368*a**2 - 32*a + 307*a**5 + 639*a**4.
-4*a*(a - 1)*(7*a - 2)**3
Let s = 596/5 - 119. Let q(m) be the second derivative of -1/3*m**4 - 1/3*m**3 - 5*m + 0 + 1/15*m**6 + s*m**5 + m**2 - 1/21*m**7. Find w, given that q(w) = 0.
-1, 1
Let w = 12121/40 + -303. Let f(y) be the third derivative of w*y**4 + 0 + 0*y + 1/100*y**5 - 1/10*y**3 - 3*y**2 - 1/200*y**6. Factor f(s).
-3*(s - 1)**2*(s + 1)/5
Suppose 4*r - 2*i - 66 = 0, -3*r + 0*r + 2*i + 48 = 0. Suppose -r*b - 10 = -20*b. Factor 2/5*s**b - 2/5*s + 0 + 0*s**3 - 4/5*s**4 + 4/5*s**2.
2*s*(s - 1)**3*(s + 1)/5
Let z(u) = u + 6. Let y be z(2). Let g(o) be the first derivative of 16*o**4 - y*o - 160/3*o**3 - 7 + 34*o**2. Factor g(t).
4*(t - 2)*(4*t - 1)**2
Let i = 1 + -10. Let v be 24/(-16) - i/6. Let -2/3*n + v + n**2 = 0. Calculate n.
0, 2/3
Let b(v) = 10*v**3 - 970*v**2 + 1898*v - 950. Let r(j) = 4*j**3 - 388*j**2 + 759*j - 380. Let t(y) = -5*b(y) + 12*r(y). What is g in t(g) = 0?
1, 95
Let i be (-18)/32*(93/(-18))/31. Let r(h) be the third derivative of 0*h + 0 + 0*h**3 + 4*h**2 - i*h**4 + 1/80*h**5. Factor r(u).
3*u*(u - 3)/4
Let w(x) = -x**3 - x**2 - 3*x - 77. Let q be w(0). Let y = q - -77. Factor y*h**2 + 2/5*h**4 + 2/5*h**3 + 0 + 0*h.
2*h**3*(h + 1)/5
Let j = 2 - 0. Suppose -27 = -5*n + j*n. Suppose -3*u + 6*u**2 + 3*u + n*u + u**3 = 0. Calculate u.
-3, 0
Suppose 669 = 205*w + 18*w. Factor -1/3 - 2/3*y + 0*y**2 + 1/3*y**4 + 2/3*y**w.
(y - 1)*(y + 1)**3/3
Suppose 2*k + w + 21 = 0, -w + 6*w = -k + 3. Let j = k + 14. Factor 1/2*x + 1/4 + 1/4*x**j.
(x + 1)**2/4
Let w = -1741 + 1744. Let -2/3*m**w + 2/3*m**4 + 0 + 0*m + 0*m**2 = 0. Calculate m.
0, 1
Let c = 8 + -4. Let z be (-1 + 1)/(2 + -7 + c). Factor 2/3*o + z*o**2 - 2/3*o**3 + 0.
-2*o*(o - 1)*(o + 1)/3
What is t in 0 - 28/3*t**4 - 10/3*t**5 - 8*t**3 + 2/3*t - 4/3*t**2 = 0?
-1, 0, 1/5
Let x = -79/3 - -27. Suppose -j - 5*b = -15, b - 3 = -10*j + 5*j. Let j*s + 0 - 3*s**3 + x*s**2 + 7/3*s**4 = 0. Calculate s.
0, 2/7, 1
Determine i, given that 8*i**4 - 26*i**2 - 22*i**2 + 51*i**3 - 3*i**4 - 15*i + 7*i**4 = 0.
-5, -1/4, 0, 1
Let k(l) be the first derivative of -3/4*l**4 - 10 + 5/4*l**2 + 3/2*l - 1/10*l**5 - 1/3*l**3 + 1/12*l**6. Suppose k(h) = 0. What is h?
-1, 1, 3
Let x(c) = 4*c + 57. Let l be x(0). Let p be l/9 + 6/18. Factor p*i - 4/3*i**2 - 16/3.
-4*(i - 4)*(i - 1)/3
Let o(y) be the second derivative of 0 - 3/4*y**5 + 20*y + 10/21*y**7 + 0*y**3 + 0*y**2 - 5/12*y**4 + 0*y**6. Factor o(i).
5*i**2*(i - 1)*(2*i + 1)**2
Let z(f) be the first derivative of 5*f**5/3 + 35*f**4/3 - 20*f**3/3 - 84. Let z(y) = 0. Calculate y.
-6, 0, 2/5
Let o = -26 + 30. Let o*m**5 + 5*m**5 + 2*m**5 - 5*m**4 - 6*m**5 = 0. What is m?
0, 1
Let t = 261 + -261. Let v(z) be the third derivative of 3/40*z**6 + 0*z**3 + 0 + 1/70*z**7 + 1/8*z**4 + 2*z**2 + t*z + 3/20*z**5. Factor v(c).
3*c*(c + 1)**3
Let o(z) be the second derivative of 13/48*z**4 + 0 + z + 11/80*z**5 + 0*z**2 + 1/12*z**3. Factor o(w).
w*(w + 1)*(11*w + 2)/4
Suppose 3 = -3*k - 21. Let u(f) = f**3 + 7*f**2 - 7*f + 8. Let w be u(k). Factor o**2 + 6*o - 4*o + w*o.
o*(o + 2)
Let l(s) = 905*s + 1812. Let j be l(-2). Factor 5/6*w**j + 0 + w + 1/6*w**3.
w*(w + 2)*(w + 3)/6
Let b(c) be the second derivative of -c**7/6 - c**6/6 + 23*c**5/20 + c**4/12 - 8*c**3/3 + 2*c**2 - 312*c. Find n such that b(n) = 0.
-2, -1, 2/7, 1
Suppose 5*k - 3*k + 2 = 0, -3*k + 5 = 4*y. Factor 8*o**y - 694*o - 4*o**4 + 3*o**3 + 694*o + o**3.
-4*o**2*(o - 2)*(o + 1)
Determine z, given that 1/3*z**4 - 4/3 - z**2 - 8/3*z + 2/3*z**3 = 0.
-2, -1, 2
Let f(t) = 3*t**3 + t - 1. Let a be f(1). Let v(x) be the third derivative of 0*x**4 + 1/12*x**a + 0 + 0*x - 1/120*x**5 + 3*x**2. Factor v(h).
-(h - 1)*(h + 1)/2
Let s(x) be the first derivative of -1/600*x**5 + 1/1800*x**6 + 2/3*x**3 - 1/60*x**4 + 4 + 0*x**2 + 0*x. Let h(a) be the third derivative of s(a). Factor h(f).
(f - 2)*(f + 1)/5
Factor 0 - 16/19*y**3 - 36/19*y - 2/19*y**4 - 42/19*y**2.
-2*y*(y + 2)*(y + 3)**2/19
Suppose 2*a - 13 = -5*g - 5, 2*a = -4*g + 8. Suppose -93*t**3 - 4*t**4 + 0*t**a + 93*t**3 + 4*t**5 = 0. What is t?
0, 1
Let o be ((-240)/64)/(1/(-4)). Factor -12*v**2 + o*v + 4*v**4 + 0*v**4 - 7*v.
4*v*(v - 1)**2*(v + 2)
Let s = 248 + -232. Suppose 16 = s*z - 8*z. Suppose 4/7*u**3 - 8/7 + 8/7*u**z - 4/7*u = 0. What is u?
-2, -1, 1
Factor -6/19*o**2 + 4/19 + 2/19*o.
-2*(o - 1)*(3*o + 2)/19
Let o(h) = -h**3 - 260*h**2 - 534*h. Let i(z) = z**3 + 520*z**2 + 1069*z. Let p(s) = 6*i(s) + 11*o(s). Suppose p(u) = 0. What is u?
-2, 0, 54
Let s(z) be the third derivative of -z**8/40320 - z**7/3780 + 5*z**4/24 - 9*z**2. Let y(n) be the second derivative of s(n). Factor y(d).
-d**2*(d + 4)/6
Let a(g) be the third derivative of g**7/1155 - 3*g**6/220 + 29*g**5/330 - 13*g**4/44 + 6*g**3/11 - 128*g**2. Solve a(u) = 0.
1, 2, 3
Let n(x) be the third derivative of -x**9/40320 + x**8/8064 + x**7/5040 + x**5/20 + 7*x**2. Let f(c) be the third derivative of n(c). Find z such that f(z) = 0.
-1/3, 0, 2
Let q = -256 + 259. Let c(l) be the second derivative of 6*l - 1/72*l**4 + 1/12*l**q - 1/6*l**2 + 0. Factor c(k).
-(k - 2)*(k - 1)/6
Let a(u) = 3*u**3 - u + 6. Let y(h) = -5*h**3 - h**2 + 2*h - 11. Let o(f) = 7*a(f) + 4*y(f). Let p be o(4). Factor -13*d + d - 3*d**3 - 13*d**p + d**2 + 0*d.
-3*d*(d + 2)**2
Let l be 46/69*75/(-10) - -7. Determine g so that -48/5*g**l - 36/5 + 6/5*g**3 + 78/5*g = 0.
1