f 0 + t*i**3 - 1/4*i**4 - 3*i**2 - i. Solve u(z) = 0.
1, 2
Let b be (((-9)/(-25))/(-3))/(642/(-3210)). Factor b*m**4 + 12/5*m + 3/5 + 12/5*m**3 + 18/5*m**2.
3*(m + 1)**4/5
Let n(g) be the second derivative of -g**5/5 + 8*g**3/3 + 51*g. Factor n(r).
-4*r*(r - 2)*(r + 2)
Let h = 18 - 11. Suppose 5*g + 5*u = 5 + 15, 5*g - u = 44. What is x in 6*x - g*x**2 - 2*x - 3*x**3 + h*x**3 = 0?
0, 1
Let f be 672/1176*(-14)/(-60). Find m, given that 4/15 + 22/15*m**3 - 2/5*m**4 + f*m - 22/15*m**2 = 0.
-1/3, 1, 2
Let l = -14 - -17. Suppose l = 2*x - 3. Let -3*b + x*b**2 - b + 4*b - 3*b**3 = 0. What is b?
0, 1
Let x be 7/2*1/((-2)/8). Let k = x - -29/2. Let 6*q - q**2 - 2*q**3 + k*q**4 + 9/2 = 0. Calculate q.
-1, 3
Let i = -476087/6 - -79131. Let r = -216 - i. Factor 1/3 - 2/3*d**3 - 2/3*d**4 + r*d + 1/3*d**2 - 1/6*d**5.
-(d - 1)*(d + 1)**3*(d + 2)/6
Factor -1/6*z**2 + 5/6*z + 6.
-(z - 9)*(z + 4)/6
Let c = 304 + -300. Suppose -c*q - 40 = -5*r - 0, 0 = -5*r - 2*q + 10. Factor 1/3*s**2 + 0*s + 0 - 1/6*s**3 - 1/6*s**r.
-s**2*(s - 1)*(s + 2)/6
Let u be (1*-3)/((-6)/4). Factor 0*i**2 + 0*i**u + 12 - 4*i**2 + 8 + 16*i.
-4*(i - 5)*(i + 1)
Suppose -116*l = -103*l - 39. Solve -1/2*x**l + x + 0 - 1/2*x**2 = 0 for x.
-2, 0, 1
Let a(h) = 55*h**4 + 54*h**3 - 13*h**2 - 17*h - 5. Let m(r) = -27*r**4 - 27*r**3 + 6*r**2 + 9*r + 3. Let z(p) = -3*a(p) - 5*m(p). Find w, given that z(w) = 0.
-1, -2/5, 0, 1/2
Let x(s) be the first derivative of 15/2*s**2 - 4*s**3 + 0*s + 22. Factor x(d).
-3*d*(4*d - 5)
Suppose -12*v - 29*v = -2*v. Let s(i) be the second derivative of 0*i**2 + 2/21*i**7 - 2/5*i**5 + v*i**6 + 6*i + 0*i**4 + 2/3*i**3 + 0. Solve s(d) = 0.
-1, 0, 1
Suppose -3*v + 360 = -0*w - 5*w, -2*w + 4*v = 144. Let l be (-56)/w - 4/(-18). Suppose 1 + 3*u - u**3 + 0*u + l = 0. What is u?
-1, 2
Let b(s) = -4*s**5 + 8*s**4 - s**3 - 41*s**2 + 28*s - 17. Let a(z) = -z**5 + 2*z**4 - 10*z**2 + 7*z - 4. Let k(x) = -18*a(x) + 4*b(x). Factor k(c).
2*(c - 1)**4*(c + 2)
Let z(t) be the third derivative of -13*t**6/150 - 2*t**5/75 - 72*t**2. Let z(v) = 0. What is v?
-2/13, 0
Let y(q) be the second derivative of q**4/126 + 34*q**3/63 + 289*q**2/21 + 215*q. Solve y(x) = 0.
-17
Let b = -170 + 342. Let x = -335/2 + b. Factor 3/2*v**2 + x*v - 6.
3*(v - 1)*(v + 4)/2
Let m(f) be the first derivative of -14 - 15/2*f**2 - 145/2*f**4 - 10*f - 55/6*f**6 + 160/3*f**3 + 42*f**5. Factor m(t).
-5*(t - 1)**4*(11*t + 2)
Let i be -6*(-3)/(-6) - -3. Let d be 1/(i + -1) + 3. Factor -4*o**2 - 8 + o**d + 12*o + 0*o - 4.
-3*(o - 2)**2
Let a(f) be the first derivative of -12*f**4 + 9*f - 75/2*f**2 - 30 + 56*f**3. Factor a(b).
-3*(b - 3)*(4*b - 1)**2
Factor -961*s**2 + 616*s**2 - 3649*s**2 + 236*s**3 - 2562*s**2 - 406*s**2 - 2*s**4.
-2*s**2*(s - 59)**2
Suppose -2*w - 594 = 7*w. Let r = 66 + w. Let -12*s**2 - 1/2*s**5 + r - 9/2*s - 4*s**4 - 11*s**3 = 0. Calculate s.
-3, -1, 0
Let d be 18/(1620/735) + -7. Solve 1/6*y**2 - 4/3*y + d = 0 for y.
1, 7
Let z(m) be the third derivative of 0*m**4 - 1/315*m**7 + 0*m**3 - 1/36*m**6 - 2/45*m**5 - 12*m**2 + 0 + 0*m. Factor z(h).
-2*h**2*(h + 1)*(h + 4)/3
Let v = 2706 - 2706. Factor v + 4/3*z + 4/3*z**2.
4*z*(z + 1)/3
Let u(d) be the second derivative of d**4/3 + 52*d**3/3 + 301*d. Factor u(m).
4*m*(m + 26)
Let i be (5/2)/(1/2). Let x(g) = 3*g**2 - g - 6. Let j(s) = s + 1. Let u(a) = -6*j(a) - x(a). Let p(r) = -4*r**2 - 6*r. Let n(k) = i*u(k) - 4*p(k). Factor n(l).
l*(l - 1)
Let i be 44/33 - (-8)/(-6). Suppose -m + 3*m - 8 = i. Find j such that m*j**5 - 8*j**5 + 5*j**5 = 0.
0
Let s be 1*(-1 + 0) + 4. Suppose 0*r + 4*r = s*w - 26, w + r + 3 = 0. Find p such that 3*p + 2*p**2 + 1 + 1 - 3*p**2 + w*p**2 = 0.
-2, -1
Let g = 3722/5115 + -2/5115. Determine x, given that -2/11*x**2 - g - 8/11*x = 0.
-2
Factor 1/5*n**2 + 2/5*n + 1/5.
(n + 1)**2/5
Let x = -781 - -781. Let w(v) be the first derivative of 0*v + 7 + x*v**2 - 1/6*v**4 + 0*v**3. Factor w(f).
-2*f**3/3
Suppose -98*b - 8 = -100*b. Suppose 3*l - 3*m + b*m = 4, -3*m - 24 = -3*l. Factor 0 + 7/4*u**l + 1/2*u**2 + 0*u + 2*u**4 + 3/4*u**5.
u**2*(u + 1)**2*(3*u + 2)/4
Let k be 7/(-2)*(-392)/343. Let f(m) be the second derivative of 0 + 0*m**2 + 1/3*m**3 + k*m - 1/6*m**4. Factor f(p).
-2*p*(p - 1)
Let 15200/7*c + 206/7*c**4 + 5606/7*c**3 + 15602/7*c**2 + 2/7*c**5 + 5000/7 = 0. Calculate c.
-50, -1
Let b(p) = 0 + 0 - 137*p**2 + 146*p**2 + 5*p - 2*p**4 + 9*p**3. Let z(k) = k**3 + k**2 + k. Let d(y) = -2*b(y) + 14*z(y). Factor d(o).
4*o*(o - 1)**2*(o + 1)
Let k be (-8)/(-10)*-1*995/(-6766). Determine q, given that -k*q**2 - 98/17 + 28/17*q = 0.
7
Suppose -a + 2*q + 4 = q, -q = a. Factor -3*x**a + 3*x + 0*x + 3*x**2 - x**3 + 2*x**2.
-x*(x - 3)*(x + 1)
Let h(v) = -2*v**2 - 11*v - 6. Let u be h(-4). Factor 3*y**4 - y - y**4 + u*y**2 + 5*y - 4*y**4.
-2*y*(y - 2)*(y + 1)**2
Solve 4 + 10*x**2 + 0*x**3 + 20*x - 3*x + 3 + x**3 + 1 = 0.
-8, -1
Factor -42/11 + 40/11*a + 2/11*a**2.
2*(a - 1)*(a + 21)/11
Let x(s) = s**2 - 4*s - 71. Let c be x(-7). Let z(n) be the second derivative of 0 - 1/20*n**4 + 1/15*n**3 + 1/100*n**5 + c*n + 0*n**2. Factor z(b).
b*(b - 2)*(b - 1)/5
Let m(t) be the third derivative of 0 - 1/2*t**4 + 0*t**5 + 0*t - 3*t**2 + 1/30*t**6 + 4/3*t**3. Determine v so that m(v) = 0.
-2, 1
Let h(g) be the third derivative of g**7/2100 + g**6/600 - g**5/600 - g**4/120 + g**2 + 72. Determine o so that h(o) = 0.
-2, -1, 0, 1
Let n(g) = 3*g**5 - 3*g**4 + 5*g**2. Let p(t) = -2*t**5 + t**4 - 3*t**2. Let z(r) = -3*n(r) - 5*p(r). Suppose z(b) = 0. Calculate b.
-4, 0
Let b = -38 - -9. Let h = -21 - b. Factor h*l**3 + l**5 - l**5 + 4*l**4 + l**5 - 5*l**5.
-4*l**3*(l - 2)*(l + 1)
Let g be (-4)/10 + (-4)/(-10). Let f be 3/21 - (-1207)/(-119) - (-42)/4. Factor 1/2*b**5 + 0*b + g + 1/2*b**4 - f*b**3 - 1/2*b**2.
b**2*(b - 1)*(b + 1)**2/2
Let c(d) be the first derivative of -d**4/4 + 17*d**3/3 - 63*d**2/2 - 81*d - 34. Factor c(n).
-(n - 9)**2*(n + 1)
Suppose -86*g + 137 + 121 = 0. Let h be (6 - (-1 - -3))/2. Suppose -24/5*s**h + 0 - 3/5*s**4 - 3*s**g - 12/5*s = 0. Calculate s.
-2, -1, 0
Factor 0 - 1/3*i**3 + 7/6*i**2 - 1/6*i**4 - 2/3*i.
-i*(i - 1)**2*(i + 4)/6
Suppose 2 = -2*t + 2*j + 10, 3*j = 0. Let o(h) be the second derivative of -1/6*h**t - 3*h + 2*h**2 + 1/3*h**3 + 0. Factor o(v).
-2*(v - 2)*(v + 1)
Factor -1265*x + 13*x**3 + 210 + 1469*x**2 + 697*x**2 - 246*x**2 - 58*x**3.
-5*(x - 42)*(3*x - 1)**2
Suppose -2*a + 12 = 4*b, 3 = 6*a - a + b. Factor -2/17*o**4 + a*o**2 + 0 + 0*o + 2/17*o**3.
-2*o**3*(o - 1)/17
Suppose 0 = -8*w + 5*w + l + 6, 2*w = 4*l + 14. Let x(d) be the first derivative of -w - d**3 - 3/2*d**2 - 1/4*d**4 - d. Suppose x(g) = 0. Calculate g.
-1
Find n, given that 5/2*n**4 + 0*n - 25/2*n**3 + 10*n**2 + 0 = 0.
0, 1, 4
Determine q, given that -30*q**2 + 36*q - 1/3*q**4 + 72 + 17/3*q**3 = 0.
-1, 6
Determine d so that -2/9*d**4 - 8/3*d**2 - 2/3 + 20/9*d + 4/3*d**3 = 0.
1, 3
Let w(p) = 7*p**3 + p**2 - 8*p - 6. Let c(z) = -19*z**2 + 21 + 16*z**2 - 6*z**3 - 4 + 23*z - 14*z**3. Let h(n) = -6*c(n) - 17*w(n). Factor h(g).
g*(g - 1)*(g + 2)
Let h(n) be the third derivative of n**7/105 - n**6/15 - n**5/30 + 4*n**4/3 - 4*n**3 - n**2 + 32*n. What is u in h(u) = 0?
-2, 1, 2, 3
Let j(r) be the third derivative of -r**5/60 + r**4/6 + 2*r**3 - 7*r**2 + 2*r. Factor j(v).
-(v - 6)*(v + 2)
Let r(m) = -m**3 + 1. Let w(v) = v**3 + v**2 - 3. Let l(y) = -2*r(y) - w(y). Let q(c) = 5*c**3 - 9*c**2 - 3*c + 5. Let b(j) = -6*l(j) + q(j). Factor b(h).
-(h + 1)**3
Solve 35*i**5 - 17*i - 740*i**2 + 114*i + 90*i - 380*i**3 + 53*i + 95*i**4 = 0 for i.
-4, -2, 0, 2/7, 3
Let s be -14*(363/(-180) + 2). Let f(r) be the first derivative of -5/24*r**4 + 1/9*r**3 + 0*r - s*r**5 - 5 + 0*r**2. Factor f(j).
-j**2*(j + 1)*(7*j - 2)/6
Let f(d) be the second derivative of -d**4/114 + 3*d**3/19 - 20*d**2/19 - 43*d. Let f(r) = 0. What is r?
4, 5
Let c(f) be the third derivative of -13/20*f**5 + 0 - 10*f**2 + 0*f + 3/10*f**6 - 2/35*f**7 - 1/2*f**3 + 3/4*f**4. Factor c(g).
-3*(g - 1)**2*(2*g - 1)**2
Let x(b) be the second derivative of 9*b**5/10 - 281*b**4/6 + 332*b**3/3 - 60*b**2 - 170*b. Factor x(y).
2*(y - 30)*(y - 1)*(9*y - 2)
Suppose 3*q + 58 = 5*b, 5*q - 2*b = 2*b - 101. Let y be (-32)/56*q/6. Factor 18*k**4 - 18*k**3 - 30*k**y - 34/3*k - 4/3.
2*(k - 2)*(3*k + 1)**3/3
Let q(b) be t