e second derivative of 43/3*m**3 - 6*m**2 - 185/16*m**4 + 303*m + 0 - 45/16*m**5. Factor w(y).
-(y + 3)*(15*y - 4)**2/4
Let m(j) be the second derivative of -j**7/84 + 7*j**6/60 + 31*j**5/40 - 7*j**4/24 - 5*j**3/2 + 1448*j. Let m(l) = 0. What is l?
-3, -1, 0, 1, 10
Let 126/11*q**2 - 2/11*q**3 + 450/11*q - 2/11*q**4 + 324/11 = 0. Calculate q.
-6, -3, -1, 9
Let w = -931109 - -6517783/7. Find i such that w*i**3 - 8/7*i + 6*i**2 - 8 + 2/7*i**4 = 0.
-7, -2, 1
Let s(m) = 3*m**2 + 658*m - 113565. Let g(l) = -4*l**2 - 654*l + 113564. Let a(f) = 4*g(f) + 5*s(f). Factor a(r).
-(r - 337)**2
Let v = 1974/437 - 4716/7429. What is h in -v*h + 28/17 - 12/17*h**4 + 32/17*h**2 + 20/17*h**3 - 2/17*h**5 = 0?
-7, -2, 1
Let n be (5 + 2)*14/(-4)*(-285)/2793. Factor -n*d**2 - 45/2*d - 20.
-5*(d + 1)*(d + 8)/2
Let h be (7308/(-3915))/(4 + 9/((-54)/28)). Factor 2/5*j**3 + 0 + 24/5*j + h*j**2.
2*j*(j + 3)*(j + 4)/5
Factor -15576*w - 710*w**2 + 953*w**2 + 88683 - 2*w**3 + 8785 + w**3.
-(w - 118)**2*(w - 7)
Let o = 5020/39 + -1500/13. Factor 1/6*a**2 - o*a + 800/3.
(a - 40)**2/6
Determine x, given that 4/5*x**4 - 1762/5*x**3 + 38896*x**2 + 0 - 19360*x = 0.
0, 1/2, 220
Let p(j) be the first derivative of 2*j**3/15 + 61*j**2/10 - 96*j/5 + 1615. Factor p(v).
(v + 32)*(2*v - 3)/5
Let d(t) = -5*t**3 - 9*t**2 + 6*t + 12. Let i be d(-2). Let v(j) = j**3 + 2*j**2 - j. Let c be v(-2). Find p such that -p**c + 3*p**2 - 8*p - i - 6*p**2 = 0.
-1
Let r(y) = -11*y**2 + 4*y**2 - 4*y + y**2 + 5*y**2 + 5*y. Let z(f) = -f**3 + 5*f**2 - 4*f. Let x(i) = -2*r(i) + 2*z(i). Find c, given that x(c) = 0.
0, 1, 5
Find g, given that -1/6*g**2 + 7/3*g + 5/2 = 0.
-1, 15
Suppose -50*v + 5600 = 91*v - 41*v. Factor 44*d - v - 64/7*d**2 + 4/7*d**3.
4*(d - 7)**2*(d - 2)/7
Suppose -1/3*w**2 - 290163 + 622*w = 0. What is w?
933
Let d be (60/50)/((-3)/40). Let i = d - -20. Let -i - 2*t**2 - 4*t**3 - 23*t + 3*t**3 + 30*t = 0. Calculate t.
-4, 1
Let l(c) be the first derivative of c**6/2 + 66*c**5/5 + 120*c**4 + 384*c**3 + 814. Factor l(x).
3*x**2*(x + 6)*(x + 8)**2
Let k(j) be the second derivative of j**7/70 + 19*j**6/150 - 17*j**5/100 - 199*j**4/60 - 23*j**3/15 + 12*j**2 + 2*j - 428. Let k(p) = 0. Calculate p.
-5, -4, -1, 2/3, 3
Let g(m) be the third derivative of -5*m**7/24 + m**6/12 + 13*m**5/60 - m**4/6 + 565*m**2 + 1. Find l, given that g(l) = 0.
-4/7, 0, 2/5
Let l(q) be the first derivative of -q**6/14 - 18*q**5/35 - 3*q**4/4 + 6*q**3/7 + 12*q**2/7 - 1938. Suppose l(f) = 0. Calculate f.
-4, -2, -1, 0, 1
Let n = 174 + -171. Let 56/3 - 2/3*y**5 + 58/3*y**n + 2/3*y**4 + 160/3*y + 158/3*y**2 = 0. Calculate y.
-2, -1, 7
Let p(t) be the third derivative of t**5/5 + 25*t**4/6 + 104*t**3/3 - 1317*t**2. Solve p(z) = 0.
-13/3, -4
Let q be -1*(-3 + -3) - 1. Suppose 0 = -5*d - a + 14, 4*a + 3 = -q*d + 29. Let -2*z + 0 - 1/2*z**d = 0. What is z?
-4, 0
Let a(s) be the second derivative of -5*s**7/14 - 904*s**6/3 - 1201*s**5 - 1000*s**4 - 7724*s. Determine d so that a(d) = 0.
-600, -2, -2/3, 0
Let n(o) be the second derivative of -o**5/10 + 5*o**4/2 + 19*o**3/3 - 33*o**2 + 220*o. Let q(s) = s**3 - s. Let x(c) = -n(c) + q(c). Factor x(l).
3*(l - 11)*(l - 1)*(l + 2)
Let y(b) = -158079247*b**2 - 87192*b - 20. Let m(r) = 632316987*r**2 + 348747*r + 78. Let d(s) = 4*m(s) + 15*y(s). Factor d(w).
3*(7259*w + 2)**2
Let v(l) be the first derivative of -l**6/1320 - l**5/220 + l**4/66 + 59*l**2 + 54. Let h(m) be the second derivative of v(m). Factor h(j).
-j*(j - 1)*(j + 4)/11
Let v = 185326/121611 - 2/17373. Let x be (-2)/(-4) + (-14)/((-392)/114). Suppose 0 + 6/7*c**4 + v*c + 104/21*c**2 + x*c**3 = 0. What is c?
-4, -2/3, 0
Let b = -152 + 457/3. Let w(j) be the second derivative of -1/9*j**3 + 8*j + 0*j**2 + 0 + b*j**4. Suppose w(k) = 0. What is k?
0, 1/6
Let n be (-1324)/140 + 9 + 21/35. Let k(z) be the first derivative of -8 + 1/14*z**4 + 2/21*z**3 - n*z**2 - 2/35*z**5 + 0*z. Let k(t) = 0. Calculate t.
-1, 0, 1
Let p(l) = -10*l - 41. Let s be p(-4). Let o(r) = -32*r - 30. Let f be o(s). Suppose 1/6*k**f + 0 + 2/3*k = 0. Calculate k.
-4, 0
Let i be (-8)/84 - (-12354)/1827. Factor -i*d - 22/3 + 2/3*d**2.
2*(d - 11)*(d + 1)/3
Let c(v) = -v**2 + 51*v + 110. Let x be c(53). Let s(w) be the first derivative of 6*w + 10*w**2 + 8*w**3 + 18 + 2/5*w**5 + 3*w**x. Factor s(o).
2*(o + 1)**3*(o + 3)
Let 49/5 + 17/2*i**2 - 2/5*i**3 - 413/10*i = 0. Calculate i.
1/4, 7, 14
Let r(p) be the third derivative of p**6/270 - 26*p**5/15 - 53*p**4/2 - 160*p**3 + 1981*p**2. Factor r(a).
4*(a - 240)*(a + 3)**2/9
Let o(z) = -5*z**4 + 46*z**3 - 57*z**2 - 320*z + 536. Let s(r) = -27*r**4 + 231*r**3 - 282*r**2 - 1599*r + 2679. Let t(u) = -21*o(u) + 4*s(u). Factor t(i).
-3*(i - 2)**2*(i + 3)*(i + 15)
Let t(a) = -a**2 + 19*a - 16. Let n be t(18). Suppose 0 = -71*l + 89*l - 162. Let -l*u**3 + 3/4*u**n + 9*u - 15/4*u**4 + 3 = 0. What is u?
-2, -1, -2/5, 1
Let v(q) be the second derivative of -q**4/54 + 65*q**3/27 - 238*q**2/3 + 83*q - 18. Factor v(f).
-2*(f - 51)*(f - 14)/9
Let c(r) be the third derivative of -r**6/120 + 303*r**5/20 + r**4/24 - 303*r**3/2 + 22*r**2 + 71. What is q in c(q) = 0?
-1, 1, 909
Suppose -51*r + 54*r - 183 = 0. Suppose 17 = 26*u - r. Let -128/7*a + 20/7*a**u - 24/7*a**2 + 128/7 + 4/7*a**4 = 0. What is a?
-4, 1, 2
Let w(u) be the second derivative of 35*u + 0 - 8/15*u**4 + 1/25*u**5 - 11*u**2 + 2/3*u**3. Let j(h) be the first derivative of w(h). Factor j(l).
4*(l - 5)*(3*l - 1)/5
Let k = 527607/13 - 40585. Find r such that 6/13*r + 8/13*r**4 + 0 - 8/13*r**2 - k*r**5 - 4/13*r**3 = 0.
-1, 0, 1, 3
Determine l, given that -20*l**3 - 165*l**3 - 869*l**2 + 779*l**2 - 5*l**5 - 100*l**4 = 0.
-18, -1, 0
Let i(o) be the first derivative of 5*o**4/2 - 451*o**3/6 - 107*o**2/4 + 182*o - 705. Factor i(f).
(f + 1)*(4*f - 91)*(5*f - 4)/2
Suppose -2/3*p**4 + 0 + 28/3*p + 32/3*p**3 - 58/3*p**2 = 0. Calculate p.
0, 1, 14
Let x(w) be the third derivative of w**5/270 - 25*w**4/27 + 11*w**3/3 + w**2 - 915. Suppose x(j) = 0. Calculate j.
1, 99
Let r(d) be the first derivative of -6*d - 1/18*d**3 + 3 - d**2. Factor r(l).
-(l + 6)**2/6
Let r = 427 - 426. Let y be r/(-3) + 28/12. Factor 1/6*u**y + 2/3*u - 5/6.
(u - 1)*(u + 5)/6
Let d(w) be the first derivative of w**6/1620 + w**5/270 - w**4/36 + 49*w**3/3 - 5. Let s(g) be the third derivative of d(g). Factor s(n).
2*(n - 1)*(n + 3)/9
Let c(d) be the second derivative of -d**9/9072 - d**8/5040 + d**7/1260 - 9*d**3 + d**2 + 14*d. Let f(w) be the second derivative of c(w). Factor f(t).
-t**3*(t - 1)*(t + 2)/3
Determine t so that 0 - 120/11*t - 2/11*t**4 + 98/11*t**2 + 24/11*t**3 = 0.
-4, 0, 1, 15
Let z(x) be the third derivative of -31*x**5/330 - 37*x**4/132 - 2*x**3/11 - 236*x**2 + 3*x. Determine p, given that z(p) = 0.
-1, -6/31
Let g(w) be the third derivative of w**6/840 - 13*w**5/420 + 3*w**4/14 + w**2 + 78*w + 2. Factor g(h).
h*(h - 9)*(h - 4)/7
Let u = 45 + -41. Solve 170*n**3 - 195*n**2 + 232*n**2 - 120*n - 185*n**u + 223*n**2 + 25*n**5 = 0.
-1, 0, 2/5, 2, 6
Let u(n) be the first derivative of 4*n**4/11 - 136*n**3/33 + 35*n**2/2 - 33*n - 769. Let u(b) = 0. What is b?
11/4, 3
Let n be (267/3471)/((-1)/(-26)). Factor -9/4*d + 3 - 3/4*d**n.
-3*(d - 1)*(d + 4)/4
Let u(i) = -31*i**3 + 117*i**2 + 434*i + 491. Let d(g) = -7*g**3 + 29*g**2 + 108*g + 123. Let r(j) = 26*d(j) - 6*u(j). Factor r(s).
4*(s + 3)**2*(s + 7)
Factor o**2 - 2*o**2 + 4776*o - 4772*o.
-o*(o - 4)
Let j = -20 - -6. Let y = 28 + j. Factor 3*b**5 - 36*b**4 + 16*b**4 + y*b**4.
3*b**4*(b - 2)
Factor 105 - 147*y**2 + 34*y + 295*y**2 + 85 - 147*y**2 - 22.
(y + 6)*(y + 28)
Let z = 36 + -30. Suppose 0 = -m + z*m - 20. Suppose m - 30*k**2 - 10*k**3 + 11 - 4*k - 6*k**4 + 9*k + 5*k**5 + 21*k**4 = 0. What is k?
-3, -1, 1
Let u be 2 + (81/90*10 - (5 - -1)). Find s such that 0 + 50/11*s - 118/11*s**3 + 42/11*s**4 - 4/11*s**u + 30/11*s**2 = 0.
-1/2, 0, 1, 5
Let o(b) be the third derivative of b**7/105 - b**5/10 + b**4/6 + 298*b**2. Find q, given that o(q) = 0.
-2, 0, 1
Let n be ((-2)/(-15))/(72/27). Let a(i) be the second derivative of 1/36*i**4 - n*i**5 + 1/6*i**3 + 1/90*i**6 + 0 - 1/3*i**2 - 3*i. Let a(y) = 0. What is y?
-1, 1, 2
Let u(o) = 2*o - 18. Let n be u(12). Factor n*w**5 + 95*w**3 + 65*w**4 + 8*w**5 - 725*w**2 + 3*w**5 - 12*w**5 - 320 + 880*w