e 43*o**2 + 4*o**4 + 2*o**4 - 61*o**3 - 180*o - o**4 - 14*o**3 - 303*o**2 = 0.
-2, -1, 0, 18
Let k(v) be the second derivative of 0*v**2 + 0 + 0*v**3 + 32*v + 1/135*v**6 - 2/27*v**4 + 0*v**5. Let k(i) = 0. What is i?
-2, 0, 2
Let t(n) = -17*n + 36. Let b(i) = -7*i + 79. Let x be b(11). Let u be t(x). Solve -1/3*c + 1/3*c**3 + 0 + 0*c**u = 0 for c.
-1, 0, 1
Suppose 0 = 4*q - 56. Suppose 4*a - 3*h = -6*h + q, -2*h = -2*a. What is m in 9*m**2 + 2*m**3 + 0*m**3 - 2 - 7*m**2 - 4*m + a*m = 0?
-1, 1
Let t(u) be the second derivative of u**4/8 + 6*u**3 + 69*u**2/4 + 43*u + 2. Suppose t(j) = 0. What is j?
-23, -1
Suppose i + 5*u = 15, i - 6 = 3*i - 2*u. Let c = -754 + 756. Factor -1/4*n**c + 0 + i*n.
-n**2/4
Factor -30/11*n**2 - 26/11 - 54/11*n - 2/11*n**3.
-2*(n + 1)**2*(n + 13)/11
Let g be 17 - 14 - (1 - 2). Factor 6*w**4 + w**2 - 3*w**g + 0*w**5 + 0*w**2 + 3*w**3 + w**5.
w**2*(w + 1)**3
Factor -2/3*m**2 + 0 - 8*m + 2/3*m**3.
2*m*(m - 4)*(m + 3)/3
Let w = -162 - -623. Let f = w + -4141/9. Factor -2/9*h**2 + f*h - 2/3.
-2*(h - 3)*(h - 1)/9
Suppose -26*a - 15*a = -246. Let l(f) be the first derivative of -1/6*f**a + 2/5*f**5 + 7/2*f**2 - 2*f + 1/2*f**4 - 8/3*f**3 - 6. Factor l(v).
-(v - 1)**4*(v + 2)
Let y(s) = s**3 - 5*s**2 + s - 1. Let v = 14 + -9. Let k be y(v). Solve 8*b**2 - 8*b**3 + b**4 - 2*b**k - 6*b**4 + 3*b**4 - 4 + 4*b + 4*b**5 = 0.
-1, 1
Suppose 2*y - 18*y = -80. Let s(u) = -u**3 + 5*u**2 + 3*u - 13. Let i be s(y). What is f in -i*f**2 + 0 - 4/5*f = 0?
-2/5, 0
Let u(j) be the third derivative of j**7/210 + j**6/6 + 13*j**5/10 - 55*j**4/6 + 121*j**3/6 - 170*j**2 - 1. Determine q so that u(q) = 0.
-11, 1
Let p be 9*1*3/9. Suppose 4*a - p*a = 0. Factor 0*x + 2/15*x**4 + 0*x**3 + a*x**2 + 0.
2*x**4/15
Find n, given that -25/6*n**3 - 5*n**2 - 5/6*n**4 + 0*n + 0 = 0.
-3, -2, 0
Let v(z) = z**2 - 20*z - 2. Let i(b) = -6*b**2 + 103*b + 11. Let t(q) = 2*i(q) + 11*v(q). Suppose t(y) = 0. What is y?
-14, 0
Let y be 32/60*((-45)/30)/(-1). Factor -4/5 - y*t - 1/5*t**2.
-(t + 2)**2/5
Suppose 0 = -k + 3*k - 4. Suppose 1 = k*q + x, 4*q - 3*x + 0*x = 17. Factor -4*p**q + 6*p**2 + 9*p + p**2.
3*p*(p + 3)
Let j = 54 - 51. Factor -3*q**j + 20*q**2 + 16*q**2 + 133*q - 27*q**3 - 25*q**4 - 141*q.
-q*(q + 2)*(5*q - 2)**2
Let t(s) be the first derivative of -s**3/3 - 9*s**2/2 + 93. Let t(w) = 0. Calculate w.
-9, 0
Let o be -1*(-8 + 1 + 2). Find v such that -o*v**4 - 12*v + v**2 + 14*v**2 + 22*v = 0.
-1, 0, 2
Let y(b) be the second derivative of b**4/6 + b**3 - 18*b**2 + 5*b. Factor y(h).
2*(h - 3)*(h + 6)
Let o(r) be the third derivative of -r**7/350 - r**6/40 - 2*r**5/25 - r**4/10 - 234*r**2. Determine t so that o(t) = 0.
-2, -1, 0
Let j be (-159)/(-51) + (-172)/1462. Factor 0 + 63/5*g**4 - 14/5*g**2 + 13/10*g**j + 2/5*g + 81/10*g**5.
g*(g + 1)**2*(9*g - 2)**2/10
Find z, given that 0*z + z**2 + 0 - 1/5*z**3 = 0.
0, 5
Suppose -262 - 30 = -2*f. Let w = f - 144. Let 4/5*j**3 - 4/5 + 4/5*j**4 + 14/5*j - 16/5*j**w - 2/5*j**5 = 0. Calculate j.
-2, 1
Suppose -3*t = -6*t + 42. Let -27 + t*h - 4*h**2 + h**2 + 4*h = 0. What is h?
3
Let z be 4*(-4)/24*-3. Suppose 5 - 21 = -4*y - 4*m, -15 = -z*y + 5*m. Factor -5*d + 3*d**2 + 3*d - y*d**2 + 4 + 0*d.
-2*(d - 1)*(d + 2)
Let b be (-1)/(((-4)/(-6))/((-8)/6)). Find f, given that 8*f**2 + 185*f - 177*f + 12*f**b = 0.
-2/5, 0
Suppose 5 + 55 = 6*g. Determine c, given that 9*c - g*c - 2*c**3 + 3*c**3 = 0.
-1, 0, 1
Let r(s) be the second derivative of s**4/42 - 5*s**3/21 + 6*s**2/7 - 2*s + 17. Suppose r(m) = 0. What is m?
2, 3
Let o(f) be the second derivative of 1/66*f**4 + 10/33*f**3 + 0*f**2 - 4 - 4*f. Suppose o(h) = 0. Calculate h.
-10, 0
Let l be (13 - 10) + 18/(-2). Let r be l - -6 - (-9)/5. Suppose -6/5 + 3/5*o**4 + r*o + 3/5*o**2 - 9/5*o**3 = 0. Calculate o.
-1, 1, 2
Let z be (2/28)/(198/(-63) - -6). Let f(x) be the third derivative of -z*x**6 + x**3 + 0 + 1/5*x**5 + 0*x - 5/8*x**4 + 10*x**2. Factor f(c).
-3*(c - 2)*(c - 1)**2
Let i = -60 + 76. Solve 4 + i*j**3 + 14*j**2 - 19*j + 4*j**4 + 9*j**2 + 35*j + j**2 = 0 for j.
-1
Suppose 0 = 5*o - 107 - 58. Factor -36*d**2 - 75*d**5 + 10*d**4 + o*d**3 - 7*d**4 + 87*d**4 - 12*d.
-3*d*(d - 1)**2*(5*d + 2)**2
Let k be (-2)/(-5) + 544/40. Let j be (-24)/(-14) - (-4)/k. Factor 12 + 4 - 16 + j*r + r**2 - r**3.
-r*(r - 2)*(r + 1)
Suppose 5*t + p = 2*p - 36, -2*t - p = 13. Let y(u) = -u**2 - 2*u - 2. Let d = -4 + 2. Let x(o) = 2*o**2 + 7*o + 7. Let n(i) = d*x(i) + t*y(i). Solve n(a) = 0.
0
Let s(l) be the third derivative of -l**6/420 - 110*l**2. Solve s(c) = 0 for c.
0
Let f(a) = a**4 - a**3 + a. Let n(r) = -7*r**3 - 13*r**2 - 11*r - 4. Let g(p) = 3*f(p) - 3*n(p). Find i such that g(i) = 0.
-2, -1
Suppose -14*g + 96 = -2*g. Find z such that 8 + g*z + z - 4*z + 4*z**2 + 7*z = 0.
-2, -1
Suppose 706 = 157*i + 78. Factor 0 - i*r + 4/5*r**2.
4*r*(r - 5)/5
Let j be (76/57 - 84/81)/((-2)/(-24)). Factor -j + 112/9*b - 50/9*b**2 + 2/3*b**3.
2*(b - 4)**2*(3*b - 1)/9
Solve -9801/5 + 8*a**3 - 598/5*a**2 - 1/5*a**4 + 792*a = 0.
9, 11
Let h = 111 - 112. Let s(v) = -6*v**3 + 9*v**2 + 18*v. Let n(r) = r**3 + r**2 - r. Let q(m) = h*s(m) - 3*n(m). Find x, given that q(x) = 0.
-1, 0, 5
Let a = -853/9 - -1715/18. Let q be (3/4)/((-18)/(-12)). Factor -q*f**2 + a + 0*f.
-(f - 1)*(f + 1)/2
Determine w so that -106/11*w + 2/11*w**4 - 210/11*w**2 + 0 - 102/11*w**3 = 0.
-1, 0, 53
Let y = 18 - 14. Find u such that 0 - 12/5*u - 3*u**3 + 36/5*u**y - 36/5*u**2 + 27/5*u**5 = 0.
-1, -2/3, 0, 1
Let u(g) be the third derivative of -5/18*g**3 + 2*g**2 + 0 - 5/72*g**4 + 1/36*g**5 + 0*g + 1/72*g**6. Factor u(p).
5*(p - 1)*(p + 1)**2/3
Find j, given that 158*j**2 - 121 - 608*j - j**3 - j**3 + 721 = 0.
2, 75
Factor 8*j**2 + 14*j - 6*j**4 - 32*j + 14*j**3 + 6*j**2 + 12*j.
-2*j*(j - 3)*(j + 1)*(3*j - 1)
Let b(d) be the first derivative of 5*d**4/2 - 4*d**3 - 12*d**2 - 28*d + 15. Let t(k) = -k**3 + 1. Let i(a) = b(a) + 12*t(a). Factor i(x).
-2*(x + 2)**3
Let t(u) be the second derivative of 0 - 1/3*u**4 + 28*u - 338*u**2 + 52/3*u**3. Factor t(j).
-4*(j - 13)**2
Let i(g) be the second derivative of 3/40*g**5 - 11*g + 0 + 1/8*g**4 + 0*g**2 - 1/2*g**3. Find x, given that i(x) = 0.
-2, 0, 1
Let b(n) be the third derivative of 36*n**2 + n**4 + 18*n**3 + 1/45*n**5 + 0 + 0*n. Solve b(z) = 0 for z.
-9
Let c(z) = 4*z**4 + 134*z**3 + 2440*z**2 + 2038*z - 4624. Let w(t) = 5*t**4 + 132*t**3 + 2438*t**2 + 2037*t - 4624. Let o(l) = -3*c(l) + 2*w(l). Factor o(q).
-2*(q - 1)*(q + 2)*(q + 34)**2
Let r(h) = h**3 - 8*h**2 - 17*h - 12. Let t(p) = -2*p**3 + 8*p**2 + 17*p + 13. Let b(v) = -3*r(v) - 2*t(v). Factor b(i).
(i + 1)*(i + 2)*(i + 5)
Let i(x) be the first derivative of -x**3/9 - 5*x**2/3 + 13*x + 397. Factor i(m).
-(m - 3)*(m + 13)/3
Let z(l) be the third derivative of l**11/374220 + l**10/226800 - l**9/272160 - 3*l**5/20 - 5*l**2. Let m(f) be the third derivative of z(f). Factor m(t).
2*t**3*(t + 1)*(4*t - 1)/9
Let o be 28/(12/3) - -2. Factor -12*f**2 - 12*f - o*f + 40 - 49.
-3*(f + 1)*(4*f + 3)
Let w(r) be the first derivative of -10 - 3*r**2 + 4*r + 0*r**3 + 1/2*r**4. Find l such that w(l) = 0.
-2, 1
Let h(s) be the third derivative of -s**5/60 - s**4/8 - s**3/3 - 89*s**2. Factor h(n).
-(n + 1)*(n + 2)
Let d be (-4)/(-2) - (3 - -11). Let l be 60/d*(-4)/5. Suppose -x + 0*x + 4*x - 12*x**2 + 5*x + l = 0. Calculate x.
-1/3, 1
Factor 185*o**3 + 195*o**3 + 3*o**5 - 383*o**3.
3*o**3*(o - 1)*(o + 1)
Suppose 2*b - 71*a + 20 = -67*a, -3*b = 4*a - 20. Factor 1/5*i**2 - 3/5*i**3 + 3/5*i**4 + 0*i + b - 1/5*i**5.
-i**2*(i - 1)**3/5
Let a(r) be the first derivative of r**6/72 + r**5/36 - 5*r**4/72 - 5*r**3/18 - 19*r**2/2 + 13. Let b(m) be the second derivative of a(m). Factor b(f).
5*(f - 1)*(f + 1)**2/3
What is o in 9/8*o**2 - 1/2 - 2*o = 0?
-2/9, 2
Let o = -8995 + 8995. Let t**2 + t**3 + o + 1/3*t**4 + 1/3*t = 0. What is t?
-1, 0
Let a be 4/(-10)*(-5)/3. Suppose 5*p - 52 = 7*s + 5, -3*p = 5*s + 21. Solve 4/9*b**2 + 2/9*b**5 - 2/3*b**4 - a*b + 2/9 + 4/9*b**p = 0 for b.
-1, 1
Factor -18/5*i - 2/5*i**2 + 18/5 + 2/5*i**3.
2*(i - 3)*(i - 1)*(i + 3)/5
Suppose 4 = -4*w + 6*w. Factor w*l**3 + 6*l - 2*l**3 - 4*l**3 - 2*l.
-4*l*(l - 1)*(l + 1)
Let o(p) = -10*p**3 + 10*p**2 - 8*p + 8. Let l(k) = -3 - k**2 + 9*k**3 - 2*k**2 - 6*k**3 + 3*k. Let s(d) = -16*l(d) - 5