t f(w) be the third derivative of 1/21*w**4 - w**2 + 0 + 0*w**3 - 1/15*w**u + 0*w + 1/42*w**6. Let f(s) = 0. Calculate s.
0, 2/5, 1
Let j be ((-6)/((-144)/(-6)))/(5 - (-5845)/(-1160)). Factor 20/3 - j*g - 2/9*g**2.
-2*(g - 1)*(g + 30)/9
Let f(y) = -y**3 - 12*y**2 + 15*y - 17. Let d be f(-13). Let q = d - -48. Factor 714*h + 5*h**5 - 714*h - 10*h**2 + 10*h**4 - q*h**3.
5*h**2*(h - 1)*(h + 1)*(h + 2)
Suppose 3*j + 0*d - d - 6 = 0, -2*j - 3 = -3*d. Let z = 7121/915 + -1351/183. Factor 0*v + 12/5*v**2 - 2/5*v**4 - z*v**j + 0.
-2*v**2*(v - 2)*(v + 3)/5
Let o(x) be the second derivative of x**6/2520 + x**5/210 + x**4/56 - x**3/3 + 21*x**2/2 + 16*x. Let m(i) be the second derivative of o(i). Factor m(t).
(t + 1)*(t + 3)/7
Factor -3*s - 85/4 + 1/4*s**2.
(s - 17)*(s + 5)/4
Let b(o) = 14*o + o**2 - 18 - 8*o**5 + 2*o**3 - o**3 + 5*o**4 + 10. Let u(h) = -h**5 - h**3 - h**2 + h - 1. Let m(i) = -4*b(i) + 36*u(i). Factor m(d).
-4*(d + 1)**5
Let c(f) be the second derivative of 62 + 1/60*f**7 - 1/25*f**6 - 53/200*f**5 - 11/15*f**3 + f - 6/5*f**2 + 21/20*f**4. Find j such that c(j) = 0.
-3, -2/7, 1, 2
Let f(a) = 11*a - 325. Let l be f(30). Factor -l*z**2 - 237 + 160*z + 62 + 20.
-5*(z - 31)*(z - 1)
Factor 65*a + 1/4*a**3 - 39/4*a**2 + 75.
(a - 30)*(a - 10)*(a + 1)/4
Let x(v) be the third derivative of 0 - 1/1260*v**6 + 0*v + 1/210*v**5 + 27*v**2 + 29/6*v**3 + 1/28*v**4. Let i(q) be the first derivative of x(q). Factor i(a).
-2*(a - 3)*(a + 1)/7
Let p be ((-52)/(-104))/((-1)/(-4)). Factor 16/3 - 1/3*r**2 + p*r.
-(r - 8)*(r + 2)/3
Let c be ((-2)/(28/35))/((-215)/172). Factor -1/6*x**3 - 26244 - 1458*x - 27*x**c.
-(x + 54)**3/6
Let a be 8/(-10)*(-15)/6. Suppose l + 12 = 4*q, 4*q - 27 = 4*l - 3. Factor 3*f**2 + 3 + 5*f**4 + a - 13*f**q.
5*(f - 1)**2*(f + 1)**2
Let n be (-46)/207*(-34 + 24). Factor 22/9*h + 0 - 2/9*h**3 + n*h**2.
-2*h*(h - 11)*(h + 1)/9
Let a(j) be the first derivative of -j**4/54 - 10*j**3/27 - 25*j**2/9 - 75*j + 121. Let v(i) be the first derivative of a(i). Determine n, given that v(n) = 0.
-5
Let q(l) be the first derivative of 7/2*l**4 - 12/5*l**5 - 1/3*l**6 + 0*l + 103 + 0*l**2 + 0*l**3. Let q(k) = 0. What is k?
-7, 0, 1
Let -24*f + 1/2*f**2 + 47/2 = 0. What is f?
1, 47
Let g = -125 - 70. Let c = -192 - g. Factor -3/8*b**4 - 3/2 - 39/8*b**2 + 9/2*b + 9/4*b**c.
-3*(b - 2)**2*(b - 1)**2/8
Suppose 43*d - 34*d = -10764. Let l = d - -1198. Determine q so that -1/2*q**4 - q - 2*q**3 + 0 - 5/2*q**l = 0.
-2, -1, 0
Suppose -l = -941 + 2118. Let w = 1179 + l. What is s in 6/11*s**w + 2/11*s**3 + 2/11*s**5 + 0 - 6/11*s**4 - 4/11*s = 0?
-1, 0, 1, 2
Let d(a) be the third derivative of -a**6/120 + 2*a**5/3 - 37*a**4/6 + 24*a**3 - 1041*a**2. Factor d(n).
-(n - 36)*(n - 2)**2
Let w(s) be the second derivative of 0 - 4*s**2 - 1/105*s**5 - 7*s + 1/12*s**4 - 1/7*s**3. Let x(y) be the first derivative of w(y). Solve x(v) = 0 for v.
1/2, 3
Let t(u) be the first derivative of 2*u**6/15 - 16*u**5/25 - 79*u**4/5 - 776*u**3/15 - 48*u**2 + 2433. Determine c so that t(c) = 0.
-5, -2, -1, 0, 12
Let m(j) be the third derivative of j**5/15 - 35*j**4/6 - 76*j**3 + 1114*j**2. Factor m(o).
4*(o - 38)*(o + 3)
Let i be -3 - (-2685)/60 - 6/8. Factor 25*z - 16*z - i*z + 4*z**2 + 23 + 37.
4*(z - 5)*(z - 3)
Let y be (-2 - 1) + 4 + 1. Find s such that 2*s**4 + 4*s**5 - 20*s**3 + 32*s - 3*s**2 - s**y + 2*s**4 - 16 = 0.
-2, 1
Suppose 6*j - 4462 - 2462 = 0. Let u = j + -1153. Factor 2/3*b - u + 1/3*b**2.
(b - 1)*(b + 3)/3
Let t(g) = -g**2 + 17*g - 7. Let h be t(9). Factor 130*b - 205*b - h*b**2 - 240 - 5*b**3 + 10*b**2 - 125*b.
-5*(b + 3)*(b + 4)**2
Let w(z) be the first derivative of -16*z**5/5 - 640*z**4 + 4*z**3 + 958*z**2 - 640*z - 1098. Suppose w(o) = 0. What is o?
-160, -1, 1/2
Let r(h) be the second derivative of h**4/3 - 24*h**3 + 136*h**2 - 1525*h. Factor r(f).
4*(f - 34)*(f - 2)
Let p be (-244)/(-8) - (-24 - (-833)/34). Let z(l) be the first derivative of -p + l**3 + 7/4*l**4 + 0*l**2 + 1/6*l**6 + 0*l + l**5. Factor z(v).
v**2*(v + 1)**2*(v + 3)
Let d(w) be the third derivative of -14/3*w**4 - 2/525*w**7 + 80/3*w**3 + 0*w + 0 + 36*w**2 + 19/150*w**6 - 26/25*w**5. Determine v, given that d(v) = 0.
-2, 1, 10
Let s(j) be the first derivative of 5*j**6/6 - 2*j**5 - 70*j**4 + 1010*j**3/3 + 275*j**2/2 - 1000*j - 1087. Find u, given that s(u) = 0.
-8, -1, 1, 5
Let u(p) be the third derivative of 47*p**5/60 + 109*p**4/8 - 7*p**3/3 + 5*p**2 - 36. Find a, given that u(a) = 0.
-7, 2/47
Let j be (492/44 - 11) + (-2)/11. Let a(x) be the first derivative of 5/2*x**2 + 5/3*x**3 + 17 + j*x. Factor a(m).
5*m*(m + 1)
Factor -486 - r**2 + 1162*r - 2169*r + 1172*r.
-(r - 162)*(r - 3)
Let h(f) be the second derivative of -f**4/3 - 104*f**3/3 - 470*f**2 - 1096*f - 3. Determine v so that h(v) = 0.
-47, -5
Determine b so that 0*b**4 + 24*b**3 - 64006*b + 158179*b + 204798*b**2 + 111909*b + 2*b**4 - 1306*b**3 = 0.
-1, 0, 321
Let m be ((-6)/40)/((-198)/3696). Factor 62/5*n**2 - m - 8/5*n**3 - 8*n.
-2*(n - 7)*(n - 1)*(4*n + 1)/5
Let p be (-4)/(-30) + (-30532)/(-510). Determine l, given that -p*l**2 - 18*l - 63*l**2 - 6*l + 178*l**2 - 57*l**2 = 0.
-12, 0
Let j = 449 + -449. Let x be (j - (-48)/150)/(12/5070). Factor -208/5*i - x*i**2 - 16/5.
-4*(13*i + 2)**2/5
Let t(c) be the second derivative of c**5/5 + 7*c**4 - 56*c**3/3 - 264*c**2 + 72*c - 4. Factor t(h).
4*(h - 3)*(h + 2)*(h + 22)
Let z(p) = -9*p + 32. Let d be z(3). Let t(a) be the third derivative of 0*a**3 + 0 + 10*a**2 + 0*a + 1/8*a**4 + 1/20*a**d. Factor t(f).
3*f*(f + 1)
Let r(s) = 3 - 2 + 7*s + 1 - 8*s**2 + s**3. Let o be r(7). Factor -4*q**4 - 8*q**2 + 0*q**4 - 5*q**o + 5*q**2 - 12*q**3.
-4*q**2*(q + 1)*(q + 2)
Let c(k) = -4*k**3 - k**2 - 4*k - 81. Let i be c(-16). Suppose -4*v**2 + 15936*v - v**2 - i*v = 0. What is v?
-35, 0
Let y(s) = -13*s - 13. Let g be y(-10). Factor -88*h - 28*h**3 - 235*h**3 - 4 - 178*h**3 - 408*h**2 - g*h**2.
-(h + 1)*(21*h + 2)**2
Determine m so that -6*m + 1/3*m**3 - m**2 + 0 = 0.
-3, 0, 6
Let g(u) = -u**3 - 19*u**2 - 4*u - 40. Let t be g(-19). Factor 5*v**2 + t - 69 - 18 - 24 + 70*v.
5*(v - 1)*(v + 15)
Let h(v) be the third derivative of v**5/20 + 45*v**4/8 + 247*v**3 + v**2 + 14*v - 6. Factor h(q).
3*(q + 19)*(q + 26)
Let x(o) be the first derivative of o**6/780 + 183*o**2/2 - 328. Let z(i) be the second derivative of x(i). Suppose z(p) = 0. What is p?
0
Let q(u) be the second derivative of u**6/240 + 139*u**5/160 + 23*u**4/16 + 70*u + 31. Factor q(j).
j**2*(j + 1)*(j + 138)/8
Let b(w) = w**2 - 5*w - 48. Let x be b(-5). Factor 61*h**x + 42*h + 29 - 64*h**2 - 101.
-3*(h - 12)*(h - 2)
Let x = 52622 + -52622. What is m in x + 4/5*m**2 + 6/5*m**4 - 16/5*m + 26/5*m**3 = 0?
-4, -1, 0, 2/3
Let q(j) = -3*j**5 - 10*j**4 - 7*j**3 + 71*j**2 + 9*j - 64. Let y(x) = -2*x**5 - 3*x**2 + x. Let h(k) = -2*q(k) + 2*y(k). What is p in h(p) = 0?
-8, -4, -1, 1, 2
Let k(v) be the first derivative of 10*v**3/3 + 187*v**2 + 148*v - 2659. Let k(z) = 0. Calculate z.
-37, -2/5
Let p(k) = -k**3 - 17*k**2 - 34*k - 58. Let y be p(-15). Let u be (12/3)/(y/(-2 - -3)). Factor 8/7*l**4 + 4/7*l**5 - 8/7*l**u + 0*l**3 + 0 - 4/7*l.
4*l*(l - 1)*(l + 1)**3/7
Suppose -j - 3*q - 4 = 0, 0 = 5*j + q - 1 - 21. Let c(f) be the second derivative of -16*f**3 + 0 - 6*f**4 + 5*f - 24*f**2 - 1/10*f**6 - 6/5*f**j. Factor c(p).
-3*(p + 2)**4
Let b(w) = -w**2 - 24*w + 114. Let x be b(-31). Let q = x + 103. Factor -8/5*d - 2/5*d**4 + q + 6/5*d**3 + 0*d**2.
-2*d*(d - 2)**2*(d + 1)/5
Let n be 23/(-92) + 6046/24. Let z = 263 - n. Factor z*a**2 - 10*a**3 + 1/3 - 23/6*a.
-(2*a - 1)**2*(15*a - 2)/6
Let s(r) = 113*r**2 - 48*r - 134*r**2 + 77*r**2. Let b(y) = y**3 + y**2. Let g(q) = -4*b(q) + s(q). Factor g(z).
-4*z*(z - 12)*(z - 1)
Let h(b) = -105*b**3 - 2 + 102*b**3 - 4 - 6*b**2 - 4*b + 17*b**2 + 0. Let p be h(3). Find o, given that -2*o + 1/3*o**2 + p = 0.
0, 6
Suppose 29 + 43 = 4*h. Suppose -143*w - h = -152*w. Factor 0*g + 2/5*g**4 - 2/5*g**5 + 0*g**3 + 0*g**w + 0.
-2*g**4*(g - 1)/5
Let o be -3*(1 - 77/21). Let p be 2/o - 11/(-308). Factor 1/7*g**2 + 0 + 1/7*g**3 - p*g.
g*(g - 1)*(g + 2)/7
Let z(w) = -2*w - 43. Let j(o) = 6*o + 130. Let m(k) = 4*j(k) + 11*z(k). Let t be m(-21). What is i in t*i**5 - 6*i**4 + 3*i**2 - 3*i**2 - 10*i**3 + i**4 = 0?
-1, 0, 2
Let v be