 + 7*j(m). Factor a(o).
(o - 1)*(o + 1)
Let b(p) be the third derivative of p**8/1680 - 23*p**7/1050 + 143*p**6/600 - 121*p**5/300 - 6*p**2 + 8. Factor b(r).
r**2*(r - 11)**2*(r - 1)/5
Suppose -3 - 1 = -2*m. Let z(t) be the first derivative of 0*t**3 + 0*t**m + 1/30*t**6 + 1/20*t**4 + 0*t + 1 - 2/25*t**5. Let z(n) = 0. What is n?
0, 1
Let i(l) = 2*l**2 - 9*l - 2. Let u be i(5). Factor -5*y + 25*y**2 - 29*y**3 + 14 - 14 - y**u.
-5*y*(2*y - 1)*(3*y - 1)
Let r(g) = -7*g**2 + 4*g + 8. Suppose -4*c - c - 15 = 0. Let h(z) = 20*z**2 - 12*z - 24. Let m(w) = c*h(w) - 8*r(w). Factor m(i).
-4*(i - 2)*(i + 1)
Let h(f) be the first derivative of 2048*f**3/27 + 64*f**2/3 + 2*f - 209. Factor h(k).
2*(32*k + 3)**2/9
Let i(n) be the third derivative of n**8/24 - 106*n**7/315 - 391*n**6/270 - 266*n**5/135 - 145*n**4/108 - 14*n**3/27 - 2*n**2 + 1. Let i(z) = 0. Calculate z.
-1, -1/3, -2/7, 7
Suppose 44*z = -195*z + 4780. Factor -8/7 - 68/7*u - z*u**2.
-4*(5*u + 1)*(7*u + 2)/7
Factor -2/7*i**4 + 0 + 162/7*i - 198/7*i**2 + 38/7*i**3.
-2*i*(i - 9)**2*(i - 1)/7
Let a(h) = -6*h - 77. Let f be a(-14). Let y be (26/(-91) + 114/7)/f. Factor 120/7*g**4 - y*g + 44/7*g**3 - 100/7*g**5 - 48/7*g**2 + 0.
-4*g*(g - 1)**2*(5*g + 2)**2/7
Let y = 96178/3 + -32058. Factor -44/3*s + 0 - y*s**2.
-4*s*(s + 11)/3
Let w(m) be the third derivative of 0*m**3 - 28*m**2 + 0 + 2*m - 2/3*m**4 - 1/6*m**6 + 4/5*m**5. Factor w(a).
-4*a*(a - 2)*(5*a - 2)
Let f be (-2 - -5) + ((-27)/11 - 0/(-3)). Factor 8/11*b - 2/11*b**2 - f.
-2*(b - 3)*(b - 1)/11
Let d(c) = c**3 - 10*c**2 + 3*c + 19. Let a be d(9). Let s be (2 - 1)*(-20)/a. Determine i so that 6/7*i - s - 2/7*i**2 = 0.
1, 2
Let a(k) be the second derivative of k**7/42 - 2*k**6/15 + k**5/5 + k**4/6 - 5*k**3/6 + k**2 - 29*k. Factor a(v).
(v - 2)*(v - 1)**3*(v + 1)
Let l(z) be the third derivative of 1/40*z**5 - 1/4*z**3 - 17*z - 2*z**2 - 1/160*z**6 + 0 + 1/32*z**4. Suppose l(p) = 0. Calculate p.
-1, 1, 2
Let k = -583 - -585. Let s(o) be the third derivative of 0 - 1/160*o**6 + 0*o**3 + 1/30*o**5 + 0*o + 9*o**k - 1/24*o**4. Factor s(f).
-f*(f - 2)*(3*f - 2)/4
Let s(t) be the second derivative of -2*t**3/3 + 3*t**2 + 21*t. Let b be s(1). Factor 2/7*j + 0 + 0*j**b - 2/7*j**3.
-2*j*(j - 1)*(j + 1)/7
Let b(w) be the second derivative of w**7/84 - w**6/10 - 9*w**5/40 + 7*w**4/12 + 84*w. Factor b(l).
l**2*(l - 7)*(l - 1)*(l + 2)/2
Let f(g) be the first derivative of g**6/42 + 22*g**5/35 + 19*g**4/7 - 920*g**3/21 - 1600*g**2/7 + 16000*g/7 - 113. Solve f(w) = 0.
-10, 4
Let o(z) be the third derivative of 1/24*z**4 + 1/120*z**6 + 0 + 0*z**3 + 0*z - 1/30*z**5 - 44*z**2. Factor o(j).
j*(j - 1)**2
Let k(a) be the first derivative of -a**6/3 + 12*a**5/5 - 2*a**4 - 4*a**3 + 5*a**2 + 89. Let k(p) = 0. Calculate p.
-1, 0, 1, 5
Let b(k) be the second derivative of k**5/30 + 23*k**4/2 + 1587*k**3 + 109503*k**2 + 207*k. Let b(c) = 0. What is c?
-69
Let v(d) = -2*d**3 - d - 1. Let n be v(-1). Let c be (5 + -2)/(231/22). Determine m, given that -8/7 - c*m**n - 8/7*m = 0.
-2
Let h(n) = -4 + 6*n**2 + 12*n**2 - 34*n**2 + n - 4 + 2*n**3. Let w be h(8). Factor w*x - 4/7*x**4 + 2/7*x**5 + 0*x**2 + 0 + 0*x**3.
2*x**4*(x - 2)/7
Let b(m) be the first derivative of -4*m**2 - 56 + 2*m - 10/3*m**3. Suppose b(g) = 0. Calculate g.
-1, 1/5
Let n be 3 - ((-198)/(-8))/((-3)/(-38)). Let s = n - -318. Factor -s*g**3 + 6*g - 9*g**2 + 12 - 3/2*g**4.
-3*(g - 1)*(g + 2)**3/2
Let u be ((-4)/(-30))/(((-3)/2505)/1). Let p = -111 - u. Let p*v + 0 + 1/3*v**4 - 1/3*v**3 - 1/3*v**2 = 0. What is v?
-1, 0, 1
Let m be (-11)/(-330)*-10 + (2 - 7/(-3)). Let -2*z**m + 0 + z - 5/2*z**2 - 11/2*z**3 = 0. What is z?
-2, -1, 0, 1/4
Let r(z) be the third derivative of -z**5/3 + z**4/3 + 14*z**3/3 + 4*z**2 - 13*z. Find h, given that r(h) = 0.
-1, 7/5
Let p be 80/256*(-1260)/(-175). Factor 3/2*s + p + 1/4*s**2.
(s + 3)**2/4
Let z(m) be the third derivative of m**8/1680 - m**7/630 - m**6/90 - 17*m**4/24 - 8*m**2. Let b(x) be the second derivative of z(x). Factor b(h).
4*h*(h - 2)*(h + 1)
Let r(b) be the second derivative of 2*b + 0 + 0*b**2 + 1/30*b**6 - 1/126*b**7 + 0*b**3 - 1/20*b**5 + 1/36*b**4. Factor r(q).
-q**2*(q - 1)**3/3
Let j(k) = -k**2 + k. Suppose 3*q + z = 0, 2*q - 2*z = q + 7. Let s(u) = -4*u**2 + 12*u. Let a(b) = q*s(b) - 6*j(b). Let a(w) = 0. What is w?
-3, 0
Suppose 12*z = -22*z + 35*z - 3. Solve 2/5*a + 0*a**2 + 0 - 2/5*a**z = 0 for a.
-1, 0, 1
Let y(u) = -3*u**2 - 14*u + 77. Let s(t) = 2*t**2 + 16*t - 78. Let h(o) = -2*s(o) - 3*y(o). Factor h(i).
5*(i - 3)*(i + 5)
Let m(l) be the second derivative of 3*l**5/70 - l**4/3 + 17*l**3/21 - 6*l**2/7 - 7*l + 6. What is w in m(w) = 0?
2/3, 1, 3
Let g(q) be the third derivative of -2*q**2 + 0*q**4 - q + 0 + 1/240*q**5 - 1/24*q**3. What is m in g(m) = 0?
-1, 1
Let q be (-5)/(4 + -19)*-115. Let h = 39 + q. Factor 0*r**3 + 2/3*r - 4/3*r**4 + 0 - h*r**5 + 4/3*r**2.
-2*r*(r - 1)*(r + 1)**3/3
Suppose -251 + 295 = 22*i. Factor -2*f**i + 4/7 + 10/7*f.
-2*(f - 1)*(7*f + 2)/7
Let j(f) be the third derivative of -f**5/36 - 5*f**4/24 - 11*f**2 - 1. Factor j(o).
-5*o*(o + 3)/3
Let y(u) be the third derivative of 3*u**6/32 - u**5/30 - 67*u**4/96 - 7*u**3/12 - 120*u**2. Let y(s) = 0. What is s?
-1, -2/9, 7/5
Let h(v) be the third derivative of -v**5/12 + 35*v**4/24 - 5*v**3 + 70*v**2. Factor h(i).
-5*(i - 6)*(i - 1)
Let n(w) be the first derivative of w**8/1512 - w**6/540 - 5*w**2 + 2. Let d(u) be the second derivative of n(u). Factor d(g).
2*g**3*(g - 1)*(g + 1)/9
Let s = -9 - -11. Factor 6*d**2 - 33*d**s + 5*d**3 - 63*d**2 - 1080 + 540*d.
5*(d - 6)**3
Let b(y) be the first derivative of 2*y**6 + 212*y**5/5 + 225*y**4 - 108*y**3 - 652. Factor b(w).
4*w**2*(w + 9)**2*(3*w - 1)
Factor -1/8 + 9/4*h - 7*h**2.
-(4*h - 1)*(14*h - 1)/8
Let y(d) be the second derivative of -7*d**6/30 - 47*d**5/20 - 7*d**4/3 + 2*d**3 - 232*d. Find w such that y(w) = 0.
-6, -1, 0, 2/7
Let y(l) be the second derivative of 0*l**3 + 5/12*l**4 - 2*l + 0*l**2 + 0. Solve y(q) = 0.
0
Let i(v) be the first derivative of -2*v**3/33 - 3*v**2/11 + 20*v/11 + 82. Factor i(d).
-2*(d - 2)*(d + 5)/11
Find k such that 2*k**2 - 2*k**5 - 96 - 45*k**2 + 30*k**4 - 39*k**3 + 169*k - 53*k**2 + 35*k - k**5 = 0.
-2, 1, 2, 8
Let k = 66 + -98. Let n = 36 + k. Determine c so that -c**3 + 1/3*c**2 + c**n + 0 - 1/3*c**5 + 0*c = 0.
0, 1
Factor 54/17 + 2/17*v**2 - 24/17*v.
2*(v - 9)*(v - 3)/17
What is p in -83 + 22*p**2 - 10 - 135*p - 12 - 27 - 25*p**2 = 0?
-44, -1
Suppose 8*r**2 + 0*r + 1/4*r**4 + 0 + 33/4*r**3 = 0. Calculate r.
-32, -1, 0
Let k be -2*((-3)/(-6))/(77/(-220)). Factor -16/7*b**2 - 4/7 + k*b.
-4*(b - 1)*(4*b - 1)/7
Let z(d) be the first derivative of 4*d**3 - 10*d**2 + 9/5*d**4 + 0*d + 16 + 4/25*d**5. Factor z(n).
4*n*(n - 1)*(n + 5)**2/5
Let x(z) = -10*z**2 + 65*z + 365. Let f(j) = j**2 + j - 3. Let r(h) = -15*f(h) - x(h). Factor r(a).
-5*(a + 8)**2
Let g(k) be the first derivative of -4*k**3/3 + 14*k**2 - 24*k + 88. Factor g(a).
-4*(a - 6)*(a - 1)
Find a such that -137 + a**3 + 407 - 132 + 5*a**2 + 7*a - 135 = 0.
-3, -1
Factor -3/4*b**2 - 3/4*b**3 + 9/2*b + 0.
-3*b*(b - 2)*(b + 3)/4
Determine n so that 3/4*n**2 - 9/4*n - 3 = 0.
-1, 4
Let d(h) be the third derivative of -h**8/560 + h**6/120 - 2*h**3 + 21*h**2. Let o(m) be the first derivative of d(m). Solve o(x) = 0 for x.
-1, 0, 1
Let y(p) be the first derivative of 3*p**4/8 - 25*p**3/18 + 23*p**2/12 - 7*p/6 - 126. Determine v, given that y(v) = 0.
7/9, 1
Let s(a) be the third derivative of -a**7/525 + a**6/450 + a**5/150 - 9*a**3/2 + 38*a**2. Let i(w) be the first derivative of s(w). Solve i(c) = 0.
-1/2, 0, 1
Let y(m) = -14*m**4 + 31*m**3 - 51*m**2 - 10. Let s(f) = 34*f**4 - 78*f**3 + 128*f**2 + 24. Let v(z) = 5*s(z) + 12*y(z). Factor v(l).
2*l**2*(l - 7)*(l - 2)
Let b be (-5)/(-15)*(4 - 34). Let q be (-4)/(-75)*-6*25/b. Suppose 0 + 4/5*l**3 - q*l - 4/5*l**2 + 4/5*l**4 = 0. Calculate l.
-1, 0, 1
Let q**4 - 5 - 83*q - 86*q + 61 - 59*q**3 - 9984*q**2 + 10155*q**2 = 0. Calculate q.
1, 56
Let y(l) be the third derivative of -l**5/12 + 15*l**4/4 - 75*l**3/2 - 18*l**2 + 4*l. Suppose y(h) = 0. Calculate h.
3, 15
Let r(k) be the second derivative of 1/30*k**4 - 17*k + 0 - 4/3*k**2 - 28/45*k**3. Find b such that r(b) = 0.
-2/3, 10
Let u be (-111)/444 - (87/(-12