 = 0.
-1, 0, 1, 2
Suppose -3*g - u + 7 + 2 = 0, 4*g - 12 = -4*u. Factor 2*t**3 + 4*t**3 - 3*t**g - 3*t.
3*t*(t - 1)*(t + 1)
Factor -5/2*x**5 - 10*x**2 + 15/2*x**4 + 0*x**3 + 0*x + 0.
-5*x**2*(x - 2)**2*(x + 1)/2
Let x(p) = -p**3 - 13*p**2 - 5*p - 63. Let n be x(-13). Factor -49/2*t**n - 1/2 + 7*t.
-(7*t - 1)**2/2
Let k be 3/27*(-162)/(-36). Factor k - 1/2*a**2 - 1/2*a**3 + 1/2*a.
-(a - 1)*(a + 1)**2/2
Let q(c) = 43*c**4 - 103*c**3 - 19*c**2 + 63*c + 23. Let i(s) = s**4 - s**3 + s**2 - s - 1. Let g(v) = 14*i(v) + 2*q(v). Factor g(a).
4*(a - 2)*(a - 1)*(5*a + 2)**2
Let g(i) = i**2 - i - 6. Let p be g(3). Let a(j) be the third derivative of 0 - 1/300*j**6 - 2*j**2 + p*j**5 + 0*j + 1/20*j**4 + 2/15*j**3. Factor a(c).
-2*(c - 2)*(c + 1)**2/5
Let i be (-76)/(-18) - (-4)/(-18). Suppose i*j - 2*t = 22 - 8, -4*t + 7 = -j. Let 2/11*h**4 + 2/11 - 2/11*h - 4/11*h**2 - 2/11*h**j + 4/11*h**3 = 0. What is h?
-1, 1
Let p(n) = 1. Let q(o) = -3*o**2 + 4*o - 10. Let f(y) = -5*p(y) - q(y). Let w(a) = 2*a**2 - 4*a + 4. Let b(k) = 4*f(k) - 5*w(k). Factor b(u).
2*u*(u + 2)
Let d(a) be the first derivative of -3*a**4/4 + 4*a**3/3 + a**2/2 - 4*a + 1. Let t(j) = -j**3 + j**2 - 1. Let c(p) = d(p) - 2*t(p). Factor c(i).
-(i - 2)*(i - 1)*(i + 1)
Let c(p) be the second derivative of -p**6/75 + 7*p**5/25 - 2*p**4 + 10*p**3/3 + 25*p**2 - p. Solve c(x) = 0.
-1, 5
Let a be ((-46390)/(-75))/((-8)/6). Let f = -831/2 - a. What is m in 88/5*m - f*m**2 - 8/5 = 0?
2/11
Let o(c) = -2*c - 5. Let q be o(-4). Let v be 1/2*(-4)/(-9). Let -v*b**2 - 2/9*b**4 + 0 - 4/9*b**q + 0*b = 0. Calculate b.
-1, 0
Factor -2/7 + 8/7*h**2 + 6/7*h.
2*(h + 1)*(4*h - 1)/7
Factor -6/5*x - 8/5*x**2 - 2/3*x**3 - 4/15.
-2*(x + 1)**2*(5*x + 2)/15
Let -4 - 2/3*y**2 + 10/3*y = 0. Calculate y.
2, 3
Let h be (-2)/(-12)*(-448)/(-32). Determine w, given that -16/3*w**2 + h*w**3 - 2/3 + 11/3*w = 0.
2/7, 1
Let z(m) = 3*m**2 - 3*m - 6. Let u(k) = 3*k**2 - 3*k - 6. Let q(y) = 3*u(y) - 4*z(y). Determine j, given that q(j) = 0.
-1, 2
Suppose -3*y + 3*j = 5*j - 13, 4*j = 8. Let n(w) be the third derivative of -1/300*w**5 + 0*w + 0 - 1/40*w**4 - w**2 - 1/15*w**y. Factor n(s).
-(s + 1)*(s + 2)/5
Let t = 67 + -37. Let z = 91/3 - t. Find k, given that 0 + z*k**3 + 0*k**2 - 1/3*k = 0.
-1, 0, 1
Let d = 2/351 + 214/351. Let -8/13 - 2/13*z**2 + d*z = 0. What is z?
2
Let s(d) be the third derivative of -d**7/1575 - d**6/450 - d**5/450 - 29*d**2. Let s(c) = 0. What is c?
-1, 0
Determine q, given that -64*q**5 + 55*q**5 + 8*q**3 - 48*q**3 - 16*q**2 - 33*q**4 = 0.
-4/3, -1, 0
Let g = 4 + -7. Let h be (-2 + (-8)/(-6))*g. Factor 0*k - 1/3*k**3 + 0 + 0*k**h.
-k**3/3
Let d be 106/12 + (-5)/(-30). Suppose 10*p - d*p - 4 = 0. Find r such that p*r - 2/3*r**2 - 6 = 0.
3
Let x(m) = -m**2 - 3*m - 1. Let o be (14 - 2)*1/2. Suppose 3*j + o = -3. Let h(z) = z**2 + z + 1. Let i(s) = j*x(s) - 5*h(s). Suppose i(p) = 0. Calculate p.
1
Let p be 9/(-24)*4/(-90). Let u(v) be the third derivative of -2*v**2 + 1/300*v**6 + 0*v + p*v**4 + 0*v**3 + 0 + 1/75*v**5. Factor u(a).
2*a*(a + 1)**2/5
Let j = 4101863/1618842 - -1/13719. Let d = j + -2/59. Factor 2*y**2 + 1/2 - d*y.
(y - 1)*(4*y - 1)/2
Let p(r) be the third derivative of r**5/120 + r**4/24 + r**3/12 + 25*r**2. Factor p(j).
(j + 1)**2/2
Let t = 737/7 - 105. Factor 2/7*v + 2/7*v**4 - 4/7*v**3 + 2/7*v**5 + t - 4/7*v**2.
2*(v - 1)**2*(v + 1)**3/7
Let -2/15*p + 0 - 4/5*p**3 - 2/15*p**5 + 8/15*p**4 + 8/15*p**2 = 0. Calculate p.
0, 1
Let k = 1/58 - -55/174. Let 0*r**3 - 2/3*r**2 + 0*r + k + 1/3*r**4 = 0. Calculate r.
-1, 1
Let t(f) be the first derivative of f**3/4 + 3*f**2/8 - 3*f/2 + 2. Factor t(j).
3*(j - 1)*(j + 2)/4
Let l(a) be the second derivative of -a**4/20 + 23*a. Factor l(f).
-3*f**2/5
Let h(p) = -p**3 - p + 4. Let n be h(0). Let -4*m**2 - n*m + 20*m + 0*m**3 - 3*m**3 + 16 - m**3 = 0. What is m?
-2, -1, 2
Let m(b) be the first derivative of 1/2*b**2 + 0*b**5 - 1/36*b**4 + 0*b - 1 + 0*b**3 + 1/180*b**6. Let a(o) be the second derivative of m(o). Factor a(h).
2*h*(h - 1)*(h + 1)/3
Let n be 1/(-7)*-40 - 16/(-56). Let k(p) be the first derivative of 0*p**4 - 1/5*p**5 + 1/12*p**n + 1/3*p**3 - 1/4*p**2 - 1 + 0*p. Determine d so that k(d) = 0.
-1, 0, 1
Let u(d) = 4*d - 4*d**2 + 2*d**3 - 2*d - 6*d - d**2. Let b(j) = -j**3 + j**2 + j. Let x(n) = -6*b(n) - 2*u(n). Factor x(s).
2*s*(s + 1)**2
Factor -2/7*f**2 - 20/7*f - 50/7.
-2*(f + 5)**2/7
Let i(f) be the first derivative of 5*f**3/6 - 2*f**2 - 2*f - 9. Determine o so that i(o) = 0.
-2/5, 2
Solve a**2 + 31*a - 51*a + 0*a**2 + 24*a = 0 for a.
-4, 0
Let z(r) be the third derivative of 0*r**7 - 1/504*r**8 + 0*r**4 + 0*r**5 + 0*r + 1/180*r**6 + 0*r**3 - 3*r**2 + 0. Factor z(b).
-2*b**3*(b - 1)*(b + 1)/3
Let v = -5 + 5. Suppose v = -2*y - 1 + 5. Factor 2*z**3 + 32*z**5 - 2*z - 3*z**4 + y*z - 13*z**4.
2*z**3*(4*z - 1)**2
Let t(l) be the first derivative of -5*l**6/6 + 80*l**5 - 3200*l**4 + 204800*l**3/3 - 819200*l**2 + 5242880*l - 1. Solve t(h) = 0.
16
Let w(m) be the second derivative of m**7/126 + 13*m**6/90 + 29*m**5/30 + 53*m**4/18 + 85*m**3/18 + 25*m**2/6 - 43*m. Let w(f) = 0. Calculate f.
-5, -1
Let 0*a - 6*a + 231 - 3*a**2 - 231 = 0. What is a?
-2, 0
Let f be (1/6)/((-24)/(-36)). What is v in -1/4*v**2 + f*v + 1/2 = 0?
-1, 2
Determine b so that 1/5*b**2 + 1/5*b + 0 = 0.
-1, 0
Let k(v) = 4*v**2 + 15*v - 4. Let c be k(-4). Let o(u) be the third derivative of 0 - 1/21*u**3 + c*u + 1/210*u**5 + 0*u**4 + u**2. Factor o(r).
2*(r - 1)*(r + 1)/7
Let z be 45/10*2/3. Factor -3*h + 6 + 5*h**2 - z*h**2 - 5*h**2.
-3*(h - 1)*(h + 2)
Determine n so that 1/2*n**3 + 0*n + 0 + n**2 - 1/2*n**4 = 0.
-1, 0, 2
Suppose 3 = -a, m - 5 = 5*a + 14. Suppose 7 = m*f - 1. Factor 0*h**3 - h**2 + h**f + h**3 + 2*h**2.
h**2*(h + 2)
Let v be (5/((-405)/(-12)))/((-3)/(-9)). Factor -2/9*a**5 + 4/9*a**4 + 0 + 2/9*a + 0*a**3 - v*a**2.
-2*a*(a - 1)**3*(a + 1)/9
Let a = -739 - -36951/50. Let m(r) be the second derivative of 0*r**4 - a*r**5 + 0*r**2 + 2*r + 0 + 0*r**3 - 1/105*r**7 + 2/75*r**6. Factor m(p).
-2*p**3*(p - 1)**2/5
Factor -2*r + 2*r**4 - 4/3*r**2 + 4/3*r**3 + 2/3*r**5 - 2/3.
2*(r - 1)*(r + 1)**4/3
Let x = -6 - 24. Let q be (-16)/x*(-9)/(-6). Factor -2/5 - q*v - 2/5*v**2.
-2*(v + 1)**2/5
Let k = 10 + -8. Let h(i) be the first derivative of 2 - 5/12*i**3 - i**k - 1/16*i**4 - i. Factor h(y).
-(y + 1)*(y + 2)**2/4
Let l = -5 + 8. Suppose -2*u**3 + l + 4*u - 2*u**2 - 2*u - 1 = 0. What is u?
-1, 1
Let p be (-1 - (-206)/198) + 8/44. Let k = 548/99 - 56/11. Solve -k - p*l + 2/9*l**2 = 0.
-1, 2
Suppose -3*w = -2*w - 3. Solve -3*n**2 + n**3 + 6*n**2 + 2*n**w = 0.
-1, 0
Let d(b) be the second derivative of 0*b**2 - 1/15*b**3 - 1/50*b**5 - 1/15*b**4 + 0 + 2*b. Factor d(a).
-2*a*(a + 1)**2/5
Let g(x) = -x**3 - x**2 + 1. Let n(j) = 5*j**3 + 4*j**2 - 3*j - 6. Let o = 17 - 13. Let f = 2 + -1. Let i(v) = f*n(v) + o*g(v). Solve i(b) = 0.
-1, 2
Let j(a) = -4*a**5 + 10*a**4 - 8*a**3 + 4*a**2 + 2*a + 2. Let s(n) = 5*n**5 - 10*n**4 + 8*n**3 - 6*n**2 - 3*n - 3. Let l(r) = 3*j(r) + 2*s(r). Factor l(w).
-2*w**3*(w - 4)*(w - 1)
Let b(n) = -2*n**2 + 3*n - 1. Let f = 2 - 7. Let m(i) = -i**2 + 2*i - 1. Let s(h) = f*m(h) + 3*b(h). Factor s(r).
-(r - 1)*(r + 2)
Factor -16/3*n - 8/5 + 14/15*n**2.
2*(n - 6)*(7*n + 2)/15
Let r(w) = -3 - 10*w + w**3 + 11*w**2 + 4*w**3 + 6 - 6*w**3. Let q be r(10). Factor 1/3*c - 2/3*c**2 + 0 + 1/3*c**q.
c*(c - 1)**2/3
Let o(i) be the third derivative of -i**8/8400 - i**7/2100 - i**6/1800 + i**3/2 + 2*i**2. Let z(m) be the first derivative of o(m). Let z(f) = 0. What is f?
-1, 0
Let b be (1 + (-6)/5)/(20/(-50)). Factor 0*x**2 + 0 + 0*x - 1/4*x**3 - b*x**4.
-x**3*(2*x + 1)/4
Factor -3*v**2 + 1/2*v**3 - 3 + 11/2*v.
(v - 3)*(v - 2)*(v - 1)/2
Let m(h) = -h**2 - 18*h - 81. Let u(b) = b**2 + 18*b + 81. Let g(v) = -5*m(v) - 4*u(v). Find j, given that g(j) = 0.
-9
Let v(t) be the first derivative of 9*t**4/2 + 4*t**3 + t**2 - 5. Solve v(l) = 0 for l.
-1/3, 0
Let i(q) be the first derivative of -q**3 + 48/5*q**5 + 0*q + 2*q**6 - 10 + 141/16*q**4 - 9/8*q**2. Determine t, given that i(t) = 0.
-3, -1, -1/4, 0, 1/4
Suppose 4*r = -3*g + 35, r - 5*r = -4*g. Suppose 4*a = 8*a - 12. Solve 0*c + 4*c**4 - 4*c**2 + 3*c - c + 4*c**g - 3*c**3 - a*c = 0 for c.
-1, -1/2, 0, 1
Let b(q) = 2*q**2 + 8*q + 11.