**5/5 + 6*v**3 + 16*v**2 + 15*v + 9897. Factor j(p).
-(p - 5)*(p + 1)**2*(p + 3)
Let y(m) be the second derivative of m**6/105 + 18*m**5/35 + 365*m**4/42 + 50*m**3/7 - 9000*m**2/7 + 6*m - 304. Solve y(o) = 0 for o.
-15, -10, 4
Let n(l) be the third derivative of -l**8/336 + l**7/70 + l**6/40 - 7*l**5/60 - l**4/4 + 423*l**2 + l. Factor n(w).
-w*(w - 3)*(w - 2)*(w + 1)**2
Let s = 2894/155 + -2336/155. Factor s*c**3 + 0*c + 2/5*c**4 + 0*c**2 + 0.
2*c**3*(c + 9)/5
Let y be 28/(-98) - 26/(-91). Find a such that y*a - 4/7*a**3 + 6/7*a**2 + 0 - 2/7*a**4 = 0.
-3, 0, 1
Let k(w) be the second derivative of w**5/4 + 5*w**4/3 - 35*w**3/2 - 16*w - 4. Let k(f) = 0. Calculate f.
-7, 0, 3
Let j(q) be the first derivative of 0*q**3 - 1/5*q**5 + 0*q**2 - 1/15*q**6 - 3*q + 12 + 0*q**4. Let a(f) be the first derivative of j(f). Solve a(k) = 0 for k.
-2, 0
Suppose 7*t - 47 = -8 - 4. Let o(k) be the third derivative of 1/105*k**7 - 1/4*k**4 - 5*k**2 + 0 + 0*k + 1/30*k**t + 1/20*k**6 - 2/3*k**3. Solve o(n) = 0.
-2, -1, 1
Factor -45/7*k**2 + 0 - 86/7*k - 1/7*k**3.
-k*(k + 2)*(k + 43)/7
Factor -48/11 - 56/11*h - 2/11*h**3 - 20/11*h**2.
-2*(h + 2)**2*(h + 6)/11
Let w be 56/(-6)*3630/(-77). Let x be w/(-132)*((-10)/4 + 1). Determine h so that -4 + 23*h**x + 24 + 55*h**2 - 15*h**4 - 5*h**3 - 60*h - 18*h**5 = 0.
-2, 1, 2
Let a be (-142)/(39760/(-420)) - (1 + (-19)/10). Factor a*b**4 + 12/5*b**2 - 18/5*b**3 - 3/5*b**5 + 0 - 3/5*b.
-3*b*(b - 1)**4/5
Let d(j) = j**3 - 7*j**2 - 2*j. Let m(c) = c**4 - 27*c**2 + 2*c. Let s(u) = -12*d(u) + 4*m(u). Suppose s(y) = 0. What is y?
-2, 0, 1, 4
Let v = 26353 + -184399/7. Let d be (-2)/4 - 44/(-8). Solve -114/7*s**4 - 18/7*s**d - 26*s**3 + 192/7*s + v + 50/7*s**2 = 0.
-3, -2/3, 1
Let s be ((-5)/(-4))/(-9 + (-4367)/(-484)). Suppose 32 = -39*v + s*v. Factor 7/2*d - 1/4*d**v - 49/4.
-(d - 7)**2/4
Let c(y) be the second derivative of y**6/40 + 3*y**5/8 - 17*y**4/4 + 51*y**3/4 - 135*y**2/8 + 53*y + 7. Determine s, given that c(s) = 0.
-15, 1, 3
Suppose -3*y + 43 = -116. Let h = y - 50. Factor 9*u**3 - u**2 - 2*u**2 + 6*u + 3*u**4 - 15*u**h.
3*u*(u - 2)*(u - 1)*(u + 1)
Let r(t) be the second derivative of -t**5/40 - 103*t**4/4 - 10609*t**3 - 2185454*t**2 + 114*t + 1. Factor r(i).
-(i + 206)**3/2
Let m(z) = -z**3 - 4*z**2 + 14*z + 15. Let u be (6/(-4))/(16/64). Let h be m(u). Solve -10*q**h + 6*q - 4*q + 4*q + 5*q**5 - q = 0.
-1, 0, 1
Let f = -1841/3 - -597. Let q = f - -574/15. Find h, given that -72/5*h + 16/5 - 24/5*h**4 + 18/5*h**5 + q*h**2 - 46/5*h**3 = 0.
-2, 2/3, 1
Factor 2/9*t**2 + 10515698/9 + 9172/9*t.
2*(t + 2293)**2/9
Let n(j) be the second derivative of j**5/30 - 7*j**4/12 - 13*j**2 + 31*j + 1. Let v(r) be the first derivative of n(r). What is t in v(t) = 0?
0, 7
Let g(z) = -20*z**4 + 130*z**3 + 1894*z**2 - 4238*z + 2360. Let q(m) = -7*m**4 + 43*m**3 + 631*m**2 - 1413*m + 791. Let u(i) = -5*g(i) + 14*q(i). Factor u(o).
2*(o - 33)*(o - 1)**2*(o + 11)
Let m be (-62)/899 + (-5700)/(-85173). Let t = 2945/3916 + m. Find f such that 3/8*f - 3/8*f**2 + t = 0.
-1, 2
Let 163*r**3 - 200*r - 325*r**3 + 728*r - 58*r**2 - 1440 + 164*r**3 = 0. Calculate r.
5, 12
Let n be 10 + (-84)/(-35)*630/(-189). Find a such that -5/3 + 7/3*a**n - 2/3*a = 0.
-5/7, 1
Determine z so that 4/3*z**5 + 160*z + 0 + 140/3*z**4 + 632/3*z**3 + 976/3*z**2 = 0.
-30, -2, -1, 0
Let i(o) be the third derivative of o**5/420 + 131*o**4/168 + 1301*o**2. Factor i(c).
c*(c + 131)/7
Let w be ((1 - -129)/(-13) - -11)/(4 - -2). Factor -75/2*o + 0 - 31/6*o**3 + 85/2*o**2 + w*o**4.
o*(o - 15)**2*(o - 1)/6
Let d(t) be the third derivative of 19*t**6/180 - 17*t**5/45 - 2*t**4/9 - 456*t**2. Suppose d(u) = 0. Calculate u.
-4/19, 0, 2
Let o(p) = 7*p**4 + 101*p**3 + 614*p**2 + 882*p - 1599. Let s(i) = 2*i**4 + i**3 - i**2 + 2*i + 1. Let j(b) = -o(b) + s(b). Factor j(l).
-5*(l - 1)*(l + 5)*(l + 8)**2
Let y be 6 + 88/6 - 2/(-6). Find x, given that -y*x - 12 - 56*x + 63*x**2 - 24*x - 49*x + 30*x = 0.
-2/21, 2
Let r(m) be the second derivative of m**4/4 - m**3 + 3*m**2/2 - 5*m + 3. Suppose -f + 2 - 3 = 0. Let d(j) = -j + 1. Let a(z) = f*r(z) + 3*d(z). Factor a(t).
-3*t*(t - 1)
Let m(i) be the second derivative of -i**6/15 - 29*i**5/2 + 293*i**4/6 - 49*i**3 + 10*i - 20. Let m(f) = 0. Calculate f.
-147, 0, 1
Suppose -67*b - 190 = -72*b. Factor -20 - 24*a**2 - 40*a - b*a**3 + 33*a**3 - a**2.
-5*(a + 1)*(a + 2)**2
Let p(x) be the third derivative of -x**5/225 + 31*x**4/20 - 46*x**3/5 - 1330*x**2 - 2*x. Factor p(g).
-2*(g - 138)*(2*g - 3)/15
Let -14*c**2 + 5/3*c**3 + 32 - 224/3*c = 0. What is c?
-4, 2/5, 12
Let h = 377661/409006 - 9/31462. Factor -16/13 - h*z - 2/13*z**2.
-2*(z + 2)*(z + 4)/13
Let b(r) be the third derivative of -1/9*r**4 - 1/90*r**7 - 1/9*r**3 + 0*r + 0 + 26*r**2 + 31/720*r**6 + 1/120*r**5. Determine i, given that b(i) = 0.
-1/2, -2/7, 1, 2
Let o(x) = x**2 + 5*x - 5. Let t(w) = -15*w**2 - 80*w + 112. Let f(n) = -21*o(n) - 3*t(n). Factor f(h).
3*(h + 7)*(8*h - 11)
Let t(n) be the first derivative of -n**3/9 - 25*n**2/6 + 18*n + 166. Suppose t(i) = 0. What is i?
-27, 2
Let h(k) be the first derivative of -5*k**3/3 - 1530*k**2 + 3826. Factor h(y).
-5*y*(y + 612)
Factor 9/8*c**2 + 0 - 17/8*c.
c*(9*c - 17)/8
Let p be (-154)/5698 - 149/(-37). Factor 5*h**2 + 1/2*h**3 + 0 - 1/2*h**4 + p*h.
-h*(h - 4)*(h + 1)*(h + 2)/2
Let j(a) be the second derivative of 7*a**5/40 + 277*a**4/12 + 625*a**3/12 + 39*a**2/2 - 518*a. Determine h, given that j(h) = 0.
-78, -1, -1/7
Let k(s) = 4*s + 9. Let f be k(-1). What is t in -46*t + 68*t**2 + 146*t**f + 216*t**3 + 100*t**4 - 162*t**5 + 14*t = 0?
-1, 0, 1/4, 8
Let m(o) be the third derivative of -2*o**7/525 - o**6/15 + 12*o**5/25 - 19*o**4/15 + 26*o**3/15 + 274*o**2. Factor m(i).
-4*(i - 1)**3*(i + 13)/5
Let g be 2/(-12) - (-78)/36. Factor 18*f**2 + 4*f - 50*f**2 + f + 13*f**g + 14*f**2 + 210.
-5*(f - 7)*(f + 6)
Let y be (4/18 - (-56)/(-90))*-5. Factor 3830*j - 3838*j - y + j**2 + 1 - 17*j**2.
-(4*j + 1)**2
Find t such that 20/3 + 14/9*t**2 - 82/9*t - 2/9*t**4 + 10/9*t**3 = 0.
-3, 1, 2, 5
Let w(a) = 8279*a + 96. Let c be w(0). Factor -72 - 44*i**2 + 8*i**3 - 1/2*i**4 + c*i.
-(i - 6)**2*(i - 2)**2/2
Suppose 4*j + 0*a + 2*a = 44, 5*j - 4*a = 81. Suppose j = 2*p - 13. Determine x, given that -16*x**2 + p*x**3 + 4*x**4 - 2*x + 4 + 8*x**2 - 2*x**5 - 9*x**3 = 0.
-1, 1, 2
Let k(t) be the third derivative of t**7/840 - 217*t**6/240 + 173*t**5/48 - 9*t**4/2 - t**2 + t + 3527. Factor k(h).
h*(h - 432)*(h - 1)**2/4
Let f(i) be the third derivative of -i**7/1155 + i**6/220 + 37*i**5/330 + i**4/4 - 24*i**3/11 - 3758*i**2. Find j such that f(j) = 0.
-3, 1, 8
Let l(m) be the third derivative of 5*m**8/1008 + 2*m**7/21 + 13*m**6/36 - m**5/3 - 15*m**4/8 - 26*m**2 + 3*m. Determine a so that l(a) = 0.
-9, -3, -1, 0, 1
Let o(i) be the second derivative of -2*i**3 + 5/6*i**4 + 128 - 1/10*i**5 + 0*i**2 + 2*i. Solve o(h) = 0.
0, 2, 3
Let l be 11745/405 - (-1977)/(-69). Factor -2/23*t**2 - l + 8/23*t.
-2*(t - 2)**2/23
Let l(i) be the third derivative of i**7/70 + 13*i**6/20 + 47*i**5/20 - 13*i**4/4 - 24*i**3 - 1356*i**2 - i. What is f in l(f) = 0?
-24, -2, -1, 1
Let q(p) = p**2 + 3*p - 57. Let c be q(18). Let y = c + 556. Solve -3*n + 2 - 876*n**2 + 0*n + y*n**2 = 0 for n.
1, 2
Let z(t) be the second derivative of -t**6/60 + 7*t**5/20 + 39*t**4/2 + 270*t**3 + 1728*t**2 - 2*t + 386. Factor z(h).
-(h - 32)*(h + 6)**3/2
Let y be (1*-1*4)/(-1). Let q be 15/(((-1)/7)/((-10)/175)). Suppose -q*o + 5*o**2 + o + 2 - y*o**2 + 2*o = 0. What is o?
1, 2
Let k(i) be the third derivative of -i**9/9072 - i**8/60480 + i**7/11340 - 31*i**4/12 + 2*i**2 + 36*i. Let v(s) be the second derivative of k(s). Factor v(p).
-p**2*(3*p - 1)*(5*p + 2)/9
Let a(r) be the second derivative of -r**4/72 + 199*r**3/36 - 49*r**2 - 2*r - 504. Let a(d) = 0. Calculate d.
3, 196
Let j(t) = -19*t**2 + 8*t - 28. Let x be j(5). Let r = x + 463. Factor r*y + 2/5*y**2 + 0 - 2/5*y**3.
-2*y**2*(y - 1)/5
Let i(j) be the third derivative of j**7/420 - 41*j**6/240 + 47*j**5/30 - 73*j**4/12 + 12*j**3 + 4670*j**2. Let i(q) = 0. Calculate q.
1, 2, 36
Determine w so that 65/3*w**2 + 10/3*w + 0 + 85/3*w**4 + 20/3*w**5 + 40*w**3 = 0.
-2, -1, -1/4, 0
Let c = 6 - -1. Suppose c = -6*s + 31. What is u in 12*u + 0*u**5 - 5*u**5 - 12*u