e of l(u). Factor r(j).
-j*(j - 1)/5
Let 0 - 2*j**3 + 0*j + 4/5*j**2 = 0. What is j?
0, 2/5
Let i = -8212 + 57486/7. Let -6/7*j**3 + 6/7*j**4 + 2/7*j**2 - i*j**5 + 0 + 0*j = 0. What is j?
0, 1
Let y be ((-4)/12)/(1/15). Let l be (y/35)/((-6)/(-4) + -2). Factor 6/7*o**2 + 6/7*o**3 + l*o + 0 + 2/7*o**4.
2*o*(o + 1)**3/7
Let a = -19796 - -39637/2. Let 20*k**3 + a*k**2 + 5/2*k + 0 = 0. What is k?
-1, -1/8, 0
Let d(t) be the third derivative of -t**5/60 + 3*t**3/2 - 169*t**2. Find i such that d(i) = 0.
-3, 3
Let m(n) be the first derivative of 35/3*n**3 - 3 - 25*n**2 + 15*n. Find f, given that m(f) = 0.
3/7, 1
Let a(b) be the third derivative of 1/12*b**5 + 7/24*b**4 + 1/2*b**3 + 0*b + 1/120*b**6 + 0 + 14*b**2. Determine v so that a(v) = 0.
-3, -1
Let d be (-29)/(-87) + (-5)/(-3). Let 4*p**3 + d*p**2 + 27 - 27 - p**4 - 5*p**3 = 0. Calculate p.
-2, 0, 1
Let k = 161 - 436. Let l = -275 - k. Factor 12/5*x**5 + 156/5*x**3 + 0*x - 16*x**4 + l - 72/5*x**2.
4*x**2*(x - 3)**2*(3*x - 2)/5
Let m(z) be the first derivative of -z**3 + 72*z**2 - 1728*z - 374. Factor m(d).
-3*(d - 24)**2
Factor -13*k**4 + 5*k**5 - 11*k**4 - 4*k**2 - 52*k**3 - 44*k**2 - 16*k - 9*k**5.
-4*k*(k + 1)**2*(k + 2)**2
Suppose -4*u = -6*u - 260. Let t = u - -652/5. Factor -2/5 - 6/5*z + t*z**2 + 6/5*z**3.
2*(z - 1)*(z + 1)*(3*z + 1)/5
Factor -7*f**2 + 60*f + 174 + 12*f**2 + 0*f**2 - 70 - f**2.
4*(f + 2)*(f + 13)
Suppose 5*l = -3*o - 25, -5*o - 23 = -2*l + l. Let h be (l/5)/(6/(-60)). Factor -2*u + 6 - h - 2*u**2 + 2*u.
-2*(u - 1)*(u + 1)
Suppose -9*m + 0 + 54 = 0. Let t(i) be the second derivative of -1/9*i**3 + 2/135*i**m - 1/54*i**4 - 3*i + 1/30*i**5 + 0 - 1/9*i**2. Let t(h) = 0. What is h?
-1, -1/2, 1
Suppose 4078*b = 4092*b - 70. Let d(j) be the second derivative of 2/55*j**b + 0*j**2 - 1/55*j**6 - 4*j + 0 + 0*j**3 - 1/66*j**4. Suppose d(u) = 0. What is u?
0, 1/3, 1
Factor 12*s**2 + 0*s**2 - 5*s**2 - 8*s**2 - 80*s - 18*s.
-s*(s + 98)
Suppose -20*f = -19*f - 4. Factor 3*t**5 + 31 - 4*t**4 - 31 + t**f - 18*t**3.
3*t**3*(t - 3)*(t + 2)
Let l(w) be the second derivative of 49*w**5/50 + 35*w**4/6 + 88*w**3/15 + 12*w**2/5 - 64*w - 2. Factor l(q).
2*(q + 3)*(7*q + 2)**2/5
Suppose -4*j + 16 = 4*i, i + 2*j = -178 + 183. Determine o so that -2/7*o**i + 22/7*o - 8/7*o**2 - 12/7 = 0.
-6, 1
Let t be 4 + (-3 - 0 - 8). Let s(g) = -2*g - 10. Let k be s(t). Factor 4*j + 0*j**2 + j**3 + k + 4*j**2 - 4.
j*(j + 2)**2
Let t(v) be the third derivative of v**7/1680 - v**6/2160 + 7*v**3/6 - 13*v**2. Let f(q) be the first derivative of t(q). Solve f(y) = 0.
0, 1/3
Let s(b) be the third derivative of -b**6/360 - 7*b**5/180 + b**4/72 + 7*b**3/18 + 8*b**2 - 4. Let s(g) = 0. Calculate g.
-7, -1, 1
Let i(v) be the third derivative of -v**8/1680 + v**7/315 + v**6/60 - 5*v**4/12 + 4*v**2. Let c(h) be the second derivative of i(h). Find o such that c(o) = 0.
-1, 0, 3
Suppose 261*s - 143*s = 142*s. Determine c, given that 3*c**3 + 0 + s*c - 2/3*c**2 - 7/3*c**4 = 0.
0, 2/7, 1
Let t = -46767/8 - -5846. Let -3/8*d**3 + 1/4*d**2 + 0*d + t*d**4 + 0 = 0. Calculate d.
0, 1, 2
Let f(r) = -r**2 + 3*r. Suppose -13 = -3*v + 3*u - 112, 3*v + 107 = 5*u. Let k = -34 - v. Let q(x) = x. Let t(y) = k*q(y) + f(y). Solve t(c) = 0 for c.
-2, 0
Let z(r) be the second derivative of r**5/3 + 7*r**4/9 - 16*r**3/9 - 8*r**2/3 + 39*r. Factor z(d).
4*(d - 1)*(d + 2)*(5*d + 2)/3
Let z(m) be the second derivative of -17*m + 0 + 0*m**2 + 1/60*m**4 + 1/15*m**3. Let z(s) = 0. Calculate s.
-2, 0
Let a(z) be the second derivative of 0 + 1/6*z**4 + 0*z**5 + 22*z - 1/45*z**6 + 2/9*z**3 + 0*z**2. Factor a(v).
-2*v*(v - 2)*(v + 1)**2/3
Let d(b) be the first derivative of 2*b**3/27 + 31*b**2/9 - 44*b/3 - 259. Factor d(x).
2*(x - 2)*(x + 33)/9
Let t(w) be the second derivative of w**7/14 - 14*w**6/15 - w**5 - 55*w. Solve t(j) = 0 for j.
-2/3, 0, 10
Factor 69 - 6*l**3 + 84 + 30*l**2 - 141 - 2*l**4 - 34*l.
-2*(l - 1)**3*(l + 6)
Let f(t) be the first derivative of -t**3/12 + 3*t**2/8 + 9*t/2 + 165. Factor f(v).
-(v - 6)*(v + 3)/4
Let k be (127 + -128)*62/(-10) - 5. Determine s so that 12/5*s**2 - 3/5*s**4 - k*s - 9/5 + 6/5*s**3 = 0.
-1, 1, 3
Let p(t) = -t**2 + 710*t + 25193. Let y(q) = -3*q**2 + 710*q + 25189. Let f(u) = 4*p(u) - 3*y(u). Factor f(a).
5*(a + 71)**2
Let k(u) be the third derivative of -32*u**5/15 + 4*u**4/9 - u**3/27 - 438*u**2. Solve k(c) = 0 for c.
1/24
Let r(b) be the third derivative of b**5/140 - 7*b**4/2 + 686*b**3 + 533*b**2. Factor r(f).
3*(f - 98)**2/7
Let g(t) = -27*t - 11. Let u be g(-2). Let a = 45 - u. Factor 0 - 1/4*h**3 + 0*h - 1/4*h**a.
-h**2*(h + 1)/4
Factor -3/5*w**2 + 54/5*w - 51/5.
-3*(w - 17)*(w - 1)/5
Let m(n) = -n**3 + 27*n - 52. Let d be m(3). Factor -6 - 2/3*t**4 - 8*t + 4/3*t**d + 8/3*t**3.
-2*(t - 3)**2*(t + 1)**2/3
Let f(g) be the second derivative of -15 + 3/10*g**4 - g + 8/5*g**3 + 16/5*g**2. Factor f(u).
2*(3*u + 4)**2/5
Let l(m) be the second derivative of -m**8/1344 - m**7/252 - m**6/144 - 29*m**4/12 - 12*m. Let h(q) be the third derivative of l(q). Factor h(v).
-5*v*(v + 1)**2
Let u(h) = -h**3 - h + 4. Let f(c) = -c + 18. Let a be f(18). Let w be u(a). Determine m so that -7 + w*m**2 - 7 + 2 - 4 = 0.
-2, 2
Let n(u) be the third derivative of -1/6*u**4 - 10*u + 0 + 3*u**2 - 5/6*u**3 + 1/60*u**5. Find a, given that n(a) = 0.
-1, 5
Let d(v) = v**3 - 57*v**2 - 247*v + 185. Let u be d(61). Determine b so that -9/8*b + 9/8*b**u - 3/8*b**3 + 3/8 = 0.
1
Let y = 113887/111 - 1026. Let x = 49/37 + y. Factor -x*s - 2/3*s**2 + 0.
-2*s*(s + 2)/3
Let j be 11 + (-9)/(-6)*-2. Factor -13 - j - 6*i - 2*i**2 + 21.
-2*i*(i + 3)
Let p(c) be the first derivative of 0*c - 1/6*c**3 + 0*c**2 - 16. Factor p(d).
-d**2/2
Let a = 1024 - 1020. Factor 0 - 3/7*h**3 + 1/7*h**a + 1/7*h**5 + 2/7*h - 1/7*h**2.
h*(h - 1)**2*(h + 1)*(h + 2)/7
Suppose 15 - 4 = i. Suppose 9*k - i*k + 6 = 0. Find o, given that -4*o**2 + 2*o**3 + 16 - 4*o**3 + 4*o**k + 0*o**2 - 8*o = 0.
-2, 2
Let z(m) = m**3 + 44*m**2 - 53*m - 357. Let x be z(-45). Solve 27/2 + 1/6*q**2 + x*q = 0.
-9
Let h(c) be the third derivative of -c**6/240 + 7*c**5/120 - 11*c**4/48 + 5*c**3/12 + 261*c**2 + 2. Let h(n) = 0. What is n?
1, 5
Let p(q) be the first derivative of -1/2*q**4 + 0*q**2 + 0*q + 2*q**3 - 8. Find n, given that p(n) = 0.
0, 3
Let s(h) be the third derivative of h**5/30 + 37*h**4/12 + 12*h**3 - 35*h**2. Determine a, given that s(a) = 0.
-36, -1
Let w(h) be the first derivative of -4*h**5/5 + 8*h**4 - 32*h**3 + 64*h**2 - 64*h + 62. Factor w(c).
-4*(c - 2)**4
Factor 4*a**4 + 280*a**2 + 3*a**3 - 288*a**2 + a**3.
4*a**2*(a - 1)*(a + 2)
Let v(i) be the third derivative of 0 + 5/2*i**4 - 5/3*i**5 - 4/3*i**3 + 0*i + i**2. Suppose v(b) = 0. What is b?
1/5, 2/5
Suppose 4*z + 5*w + 3 = 0, -2*w = z - 5 + 8. Factor 1/8 - 9/8*p**5 + 15/4*p**2 - 23/4*p**z - 9/8*p + 33/8*p**4.
-(p - 1)**3*(3*p - 1)**2/8
Let s(f) = -f**2 - 12*f - 3. Let t be s(-11). Let i = 13 - t. Suppose -25*o**4 - 35*o**2 - 6*o - 4*o - 5*o**i - 45*o**3 - 20 + 20 = 0. Calculate o.
-2, -1, 0
Let h(l) be the first derivative of -l**3/3 - l**2/2 - 79. Factor h(x).
-x*(x + 1)
Let l(s) = s**2 + 4 - s**3 - 2 - 1. Let z(g) = g**3 + 3 - 4*g**2 - 3*g**3 + 9*g**2 + g. Let q(k) = 3*l(k) - z(k). Determine m so that q(m) = 0.
-1, 0
Let m be (675/(-50))/(126/(-48)). Factor 0 - 4/7*p**3 + m*p + 0*p**2.
-4*p*(p - 3)*(p + 3)/7
Let h(b) = 4*b**3 - b**2 + 2*b - 2. Let g be h(1). Determine v so that -13*v**2 - 14*v**5 + 3*v**2 + 5*v**4 + 2*v**3 - 12*v**g + 5 + 19*v**5 + 5*v = 0.
-1, 1
Let n(k) = k**3 - 48*k**2 + 92*k + 2. Let z be n(2). Factor 0*p - 5 + 5/4*p**z.
5*(p - 2)*(p + 2)/4
Let p be 0/(-11 + 19 + -7). Let g(n) be the second derivative of -1/3*n**3 - 10*n + p*n**4 + 0 + 0*n**2 + 1/10*n**5. Find c, given that g(c) = 0.
-1, 0, 1
Factor 2*a - 2/3*a**2 + 36.
-2*(a - 9)*(a + 6)/3
Factor 32/11*b**2 - 2/11*b**3 + 36/11 + 70/11*b.
-2*(b - 18)*(b + 1)**2/11
Let w = -5 - -14. Let u be (2 + w/(-6))*6. Let -2*c**2 - 3*c**3 + 0*c**3 + c**u = 0. What is c?
-1, 0
Factor -147*k**2 + 230*k + 26*k**2 - 94*k**2 + 45*k**3 - 78 - 20*k**2 + 38.
5*(k - 4)*(k - 1)*(9*k - 2)
Let o(n) be the third derivative of -1/69*n**3 + 1/690*n**5 + 0*n**4 + 0 + 0*n + 9*n**2. Factor o(j).
2*(j - 1)*(j + 1)/23
Let u be 11/4 + (-32)/(-128). Let t(p) be the first derivative