8/7*b**3 - 8/7*b + 2/7 + 2/7*b**4 = 0.
1
Let c be 1*(-1)/2*0. Determine h, given that -h**3 - 3*h + 0*h**3 - h + 4*h**2 + c*h**3 = 0.
0, 2
Suppose 0 = -s + 2 - 0. Factor 2*a**3 + 5*a**s + 8*a**2 - 19*a**2 + 4*a.
2*a*(a - 2)*(a - 1)
Let q(g) = g**5 - g**4 + g**3 - g**2 - 1. Let a = -6 - -9. Let u(h) = -5*h**5 + 2*h**4 + 3*h**3 + 1. Let s(k) = a*u(k) + 3*q(k). Suppose s(d) = 0. Calculate d.
-1, 0, 1/4, 1
Let s be (8/(-10))/((-4)/10). Find y such that 2*y - 2 + 4*y**2 - y**2 - 4*y**s + y = 0.
1, 2
Determine l, given that 4 - l - 2 - 2*l**2 - 19*l**2 = 0.
-1/3, 2/7
Factor 81*q**2 - 3*q**4 + 27*q**3 + 4*q**4 + 81*q + 2*q**4.
3*q*(q + 3)**3
Let i(p) = p**3 + 22*p**2 - 22*p + 27. Let j be i(-23). Find w, given that 0*w - 1/2*w**2 + w**3 - 1/2*w**j + 0 = 0.
0, 1
Suppose n - 16 = -3*v - n, v - n = -3. Let o(j) be the third derivative of 0 - 1/15*j**5 + v*j**2 + 0*j + 1/6*j**3 - 1/8*j**4. Factor o(z).
-(z + 1)*(4*z - 1)
Let u = 5843/11 - 531. Solve u*d + 2/11 - 2/11*d**3 - 2/11*d**2 = 0 for d.
-1, 1
Suppose 14 = -2*j - 5*z + 79, j = 4*z. Let f = j - 39/2. What is t in -f*t**3 + 3/2*t - 1 + 0*t**2 = 0?
-2, 1
Let o(z) be the first derivative of 15*z**4/4 + 20*z**3/3 - 25*z**2/2 - 10*z + 10. Factor o(t).
5*(t - 1)*(t + 2)*(3*t + 1)
Let a(k) = k**3 + 3*k**2 - 6*k - 4. Let l(x) = -2*x**3 - 7*x**2 + 13*x + 8. Let m(c) = -5*a(c) - 2*l(c). Factor m(y).
-(y - 2)*(y + 1)*(y + 2)
Let d(q) be the first derivative of -q**6/3 - 4*q**5/5 + 4*q**3/3 + q**2 + 9. Factor d(l).
-2*l*(l - 1)*(l + 1)**3
Suppose 0 + 2 = w. Let c be -2*(-3 + 0/5). Factor -9 + 9 + c*a**w + 3*a + 3*a**3.
3*a*(a + 1)**2
Let b(f) = -8*f**2 - 8*f - 4. Let r(k) = k**2. Let z(n) = b(n) + 4*r(n). Factor z(q).
-4*(q + 1)**2
Suppose -70 = 14*j - 13*j. Let o be j/(-40)*(-2)/(-14). Factor -1 + v**3 + 3/4*v**2 - v + o*v**4.
(v - 1)*(v + 1)*(v + 2)**2/4
Let l(m) = -m**3 + 8*m**2 + 11*m - 15. Let r be l(9). Let 0 - 1/3*b + 2/3*b**2 - 1/3*b**r = 0. Calculate b.
0, 1
Let a(c) be the third derivative of -c**5/510 - c**4/102 - c**3/51 - 17*c**2. Let a(m) = 0. What is m?
-1
Let v(m) = m**2 + 6. Let j be v(-6). Find b, given that -37*b**4 + 244*b**2 - 120*b - j*b**3 + 16 + 0*b**4 - 61*b**4 = 0.
-2, 2/7, 1
Let c(u) = 0*u - u - 3*u + 2. Let v(d) = -d**2 - 4*d + 2. Suppose w = -w - 4. Let f(r) = w*v(r) + 3*c(r). Suppose f(p) = 0. What is p?
1
Let y = -21485 - -193772/9. Let f = y - 45. Solve 2/9*i**3 - f*i + 0 + 2/9*i**2 - 2/9*i**4 = 0.
-1, 0, 1
Factor 0 + 1/5*p - 2/5*p**4 + 2/5*p**2 + 0*p**3 - 1/5*p**5.
-p*(p - 1)*(p + 1)**3/5
Suppose 4*x - 4*x**2 - x**2 - 29*x + 0*x**2 = 0. Calculate x.
-5, 0
Let p(h) = -h**2 - 4*h + 1. Let d be p(-3). Factor w**d - w**2 + 0 - 1/3*w**3 + 1/3*w.
w*(w - 1)*(w + 1)*(3*w - 1)/3
Suppose -32*n = 4*i - 33*n - 7, -4*n = i - 6. Find a such that 8/7 - 6/7*a**i - 16/7*a + 18/7*a**3 = 0.
-1, 2/3
Let y = 7 - 9. Let c = 2 - y. Factor -6*z**3 - z**3 - 8 - z**4 - c*z - 18*z**2 - 16*z.
-(z + 1)*(z + 2)**3
Let y be (8/(-15))/((-232)/580). Let 0 + y*z + 4/3*z**2 = 0. Calculate z.
-1, 0
Let i(u) = u**2 - 2*u + 4. Let f(j) = -2*j**2 + 3*j - 8. Suppose 8*r = 4*r + 8. Let n(q) = r*f(q) + 5*i(q). Factor n(b).
(b - 2)**2
Suppose 2*v - 4*w + 209 = -3*v, -5*w - 65 = v. Let z = v - -139/3. Solve -2/3*x**2 - z*x + 0 = 0.
-2, 0
Solve 6*i**2 + 0 + 1/4*i**4 + 9/4*i**3 + 4*i = 0 for i.
-4, -1, 0
Let q(z) be the second derivative of -5*z**4/12 - 30*z**3 - 810*z**2 - 4*z + 7. Let q(b) = 0. Calculate b.
-18
Suppose -32*g + 3 + 256/3*g**2 = 0. What is g?
3/16
Let o = -40 - -43. Let t(v) be the first derivative of 1/12*v**o - 1/4*v**4 + 3 - 1/12*v**6 + 0*v + 1/4*v**5 + 0*v**2. Factor t(b).
-b**2*(b - 1)**2*(2*b - 1)/4
Let t(w) = 10*w**4 + 10*w**3 - 4*w**2 + 8*w - 8. Let i(y) = y**4 + y**2 + y - 1. Let z(a) = 8*i(a) - t(a). Factor z(j).
-2*j**2*(j - 1)*(j + 6)
Let u(p) = -p**3 + 4*p**2 - 7*p - 6. Let n(y) = -y**2 + y + 1. Let a = 10 + -4. Let b(m) = a*n(m) + u(m). Factor b(i).
-i*(i + 1)**2
Let b = 3 - 1. Suppose -2 = -b*l, 3*i - 8*i = -2*l - 8. Let u**i + 3*u**2 + 0*u**2 - 6*u**2 + 2*u = 0. What is u?
0, 1
Suppose -20 = -2*p - 3*p. Factor -6 - 7*a**p - 5*a**3 - 3 + 9*a**2 + 7 + 5*a.
-(a - 1)*(a + 1)**2*(7*a - 2)
Let u be (5/(-10))/((-1)/4). Let x be ((-16)/12)/(2/(-4)). Factor -2/3*h**u - 8/3 - x*h.
-2*(h + 2)**2/3
Let f be (-7 - (-41)/8)*(-4)/10. Let f*g**3 + 0 - 3/2*g**2 + 3/4*g = 0. Calculate g.
0, 1
Let x(s) be the third derivative of -s**7/315 - s**6/45 + 11*s**5/90 - s**4/6 - 12*s**2. Solve x(b) = 0 for b.
-6, 0, 1
Let v = 76/123 + 2/41. Find y, given that -1/3 - 1/3*y**5 + 2/3*y**2 + v*y**3 - 1/3*y**4 - 1/3*y = 0.
-1, 1
Let g be 0/(14/(-10) + (-20)/(-50)). Factor 1/2*i**2 + g*i - 1/2.
(i - 1)*(i + 1)/2
Let i(k) be the first derivative of 3*k**4/4 + 3*k**3 + 3*k**2 + 4. What is g in i(g) = 0?
-2, -1, 0
Let y(f) be the first derivative of 4/3*f**3 + 2 + 1/2*f**4 + 0*f**2 + 0*f - 2/5*f**5. Factor y(o).
-2*o**2*(o - 2)*(o + 1)
Let o(g) be the first derivative of -2 + 1/4*g**4 + 0*g**2 + 0*g - 1/3*g**3. Suppose o(y) = 0. Calculate y.
0, 1
Let a = 944/5 - 188. Factor a*k**3 + 0*k**2 + 0*k + 0 + 2/5*k**5 + 6/5*k**4.
2*k**3*(k + 1)*(k + 2)/5
Let j = -163 - -1143/7. Let o = -17 + 17. Factor 6/7*c**4 + j*c**5 + o*c + 6/7*c**3 + 2/7*c**2 + 0.
2*c**2*(c + 1)**3/7
Let p be 24/(-9) + 3 + 58/(-180). Let o(t) be the third derivative of 0*t**3 + 1/36*t**4 - 2*t**2 + 0*t + 0 + p*t**5. Factor o(g).
2*g*(g + 1)/3
Suppose -4*a - 13 = -29. Let l be 1/(-2) - (-5 + a). Find j such that 0*j**2 + 3/4*j + l - 1/4*j**3 = 0.
-1, 2
Let t(j) = -4*j**3 - 13*j**2 + 8*j + 3. Let r(c) = -10*c**3 - 27*c**2 + 16*c + 7. Let h(y) = -6*r(y) + 14*t(y). Factor h(l).
4*l*(l - 4)*(l - 1)
Let a(p) be the third derivative of 0*p**4 + 0 - p**2 + 1/360*p**6 + 0*p + 1/180*p**5 + 0*p**3. Factor a(b).
b**2*(b + 1)/3
Let u = 18 + -15. Let y(g) be the first derivative of -1 + 1/2*g**4 - 2/3*g**u + 0*g + 0*g**2 + 2/5*g**5 - 1/3*g**6. Find c such that y(c) = 0.
-1, 0, 1
Let i = -12 - -39. Find b such that b + 0 + 5*b + i*b**2 + 12*b + 3 = 0.
-1/3
Let u(i) be the first derivative of -2*i**3/15 - 3*i**2/5 - 4*i/5 - 5. Find r such that u(r) = 0.
-2, -1
Let h = 21 + -19. Factor -2/3*k - 1/3*k**h + 0.
-k*(k + 2)/3
Suppose 40/9*n + 14/9*n**3 - 4*n**2 - 16/9 - 2/9*n**4 = 0. What is n?
1, 2
Let h(u) = -u**3 + 5*u**2 + 2. Let j be h(5). Let n = -232/3 - -78. Solve n*r - 1/3 - 1/3*r**j = 0 for r.
1
Let i = 1568/5 + -313. Find a, given that i*a**3 + 3/5*a**2 + 0 + 0*a = 0.
-1, 0
Let c(d) be the first derivative of 5*d**3/3 - 10*d**2 - 6. Factor c(q).
5*q*(q - 4)
Let a(h) be the second derivative of 0 + 3*h - 1/2*h**3 + 7/20*h**4 - 3/5*h**2. Find r such that a(r) = 0.
-2/7, 1
Let v(u) be the third derivative of u**7/280 - u**6/160 - u**5/80 + u**4/32 + 8*u**2. Factor v(m).
3*m*(m - 1)**2*(m + 1)/4
Let y(i) = 15*i**3 + 20*i**2 + 25*i + 10. Let f(u) = -5*u**3 - 7*u**2 - 8*u - 3. Let o(d) = -10*f(d) - 3*y(d). Find l, given that o(l) = 0.
-1, 0
Let i(p) be the first derivative of -p**4/10 - 4*p**3/5 - p**2 - 52. Suppose i(y) = 0. What is y?
-5, -1, 0
Let n = -14 + 15. Suppose w + w**2 + 3*w**2 + w - 3*w**2 + n = 0. Calculate w.
-1
Suppose 8*o + 2 = 3*o + 3*l, o + 3*l + 4 = 0. Let g(w) = -w**2. Let t(c) = -16*c**2 + 14*c - 4. Let r(x) = o*t(x) + 6*g(x). Find b such that r(b) = 0.
2/5, 1
Suppose 0 + 1/4*o + 1/4*o**2 = 0. What is o?
-1, 0
Let x(r) be the second derivative of 3*r + 0 + 8/39*r**3 - 1/78*r**4 - 16/13*r**2. Factor x(n).
-2*(n - 4)**2/13
Let q(z) be the first derivative of 3*z**6/10 + 12*z**5/25 + 3*z**4/20 + 1. Solve q(p) = 0 for p.
-1, -1/3, 0
Let d = 11/5 - 61/30. Let y(n) be the second derivative of -2*n + 0 - d*n**3 + 1/18*n**4 + 1/20*n**5 - 1/3*n**2. Factor y(t).
(t - 1)*(t + 1)*(3*t + 2)/3
Let x(k) be the second derivative of k**4/3 + 2*k**3 + 4*k**2 + 10*k. Factor x(t).
4*(t + 1)*(t + 2)
Let n(j) be the first derivative of -2 + 1/70*j**5 + 1/21*j**4 - 2/7*j**2 + 2*j - 1/21*j**3. Let i(q) be the first derivative of n(q). Factor i(a).
2*(a - 1)*(a + 1)*(a + 2)/7
Factor -4*q**3 - 91*q + q**3 + 94*q.
-3*q*(q - 1)*(q + 1)
Let n(m) = m**3 - m**2 + m - 1. Let q(k) = -9*k**3 - 19*k**2 - 25*k + 5. Let h(f) = 5*n(f) + q(f). Let h(z) = 0. What is z?
-5, -1, 0
Let c(d) = -3*d + 21*d**2 + 1 + 13*d + d. Let h(z) = -10*z**2 - 6*z. Let n be 5/((-30)/(-4))*6. Let m(a) = n*c(a)