 5)*(o - 2)**2/5
Let g(b) be the second derivative of -b**4/12 - b**2/2 - 14*b. Let x(u) = -15*u**2 - 15*u - 10. Let j(y) = -20*g(y) + x(y). Find c, given that j(c) = 0.
1, 2
Let c(o) be the first derivative of 2*o**3/15 - 22*o**2/5 + 42*o/5 + 128. Factor c(i).
2*(i - 21)*(i - 1)/5
Let 38/13*a**3 - 68/13*a**2 + 16/13*a**4 + 8/13*a - 10/13*a**5 + 16/13 = 0. What is a?
-2, -2/5, 1, 2
Let h(x) = -8*x**2 - 41*x - 3. Let l be h(-5). Let w(m) be the second derivative of 0*m**l - 1/12*m**3 + 0 + 1/24*m**4 - 3*m. Find o, given that w(o) = 0.
0, 1
Let v(o) = -11*o**4 + 11*o**3 + 67*o**2. Let t(n) = 16*n**4 - 16*n**3 - 101*n**2. Let y(p) = 5*t(p) + 7*v(p). Factor y(c).
3*c**2*(c - 4)*(c + 3)
Let b = -4 + 1. Let l(a) = 14*a - 85. Let u be l(6). Let n(h) = -1. Let g(o) = 12*o**3 - 16*o**2 - 20*o + 11. Let w(i) = b*n(i) + u*g(i). Factor w(v).
-4*(v - 2)*(v + 1)*(3*v - 1)
Let d(c) = -2*c + 11. Let u(q) = q - 6. Let r(o) = -4*d(o) - 9*u(o). Let s be r(0). Factor -4*x - 3*x**2 - s + 16 + x.
-3*(x - 1)*(x + 2)
Let j be (-88)/(-308) + (-33)/(-105). Let y(z) be the second derivative of 3/4*z**4 + 8*z + 1/10*z**6 + 0 - 6*z**2 + j*z**5 - 2*z**3. Factor y(f).
3*(f - 1)*(f + 1)*(f + 2)**2
Let c(o) be the first derivative of -o**7/70 + 3*o**6/50 - 9*o**5/100 + o**4/20 - 9*o - 8. Let t(x) be the first derivative of c(x). Solve t(p) = 0.
0, 1
Find z such that 0 - 21/5*z**2 - 1/5*z**4 + 18/5*z + 8/5*z**3 = 0.
0, 2, 3
Suppose -5*i = -4*y - 6 + 4, 3*y = -5*i + 16. Factor j**i + 2 - 12*j + 14 + 4*j.
(j - 4)**2
Let s be (0*(-13)/52)/1. Determine i so that s*i - 1/2*i**2 + 1/2 = 0.
-1, 1
Let l(m) be the second derivative of 35/24*m**4 + 0 + 1715/12*m**2 - 1/24*m**5 - 245/12*m**3 - 10*m. Suppose l(n) = 0. What is n?
7
Let x be (-1)/4 - (-58)/104. Let b = x - 2/91. Let 0 + 0*w + 4/7*w**3 - 2/7*w**4 - b*w**2 = 0. What is w?
0, 1
Let v(z) be the third derivative of -z**7/126 + z**6/90 + z**4/12 + 9*z**2. Let k(p) be the second derivative of v(p). Factor k(i).
-4*i*(5*i - 2)
Factor 10/3*t**2 + 14/3 - 23/3*t - 1/3*t**3.
-(t - 7)*(t - 2)*(t - 1)/3
Let m(b) = b**3 - 89*b**2 + 173*b + 90. Let t be m(87). Factor 2/7*u**2 + 0 + 4/7*u**t + 0*u.
2*u**2*(2*u + 1)/7
Suppose 0 = -2*c - h - 3, 0 = -3*c + h + 1 + 2. Factor 0*f**4 - 2/9*f**5 + 0*f + 2/9*f**3 + 0*f**2 + c.
-2*f**3*(f - 1)*(f + 1)/9
Suppose 3*o - 5*m - 1306 = 0, 0 = 2*m - 3*m - 5. Let -24*s + 427 - o - 4*s**2 = 0. Calculate s.
-6, 0
Factor 56/3*k - 320/9 - 4/9*k**3 + 52/3*k**2.
-4*(k - 40)*(k - 1)*(k + 2)/9
Determine k, given that 5/3*k**2 - 1/3*k**4 - 1/3*k**3 - k + 0 = 0.
-3, 0, 1
Let 2/3*m**2 - 64/3*m - 22 = 0. What is m?
-1, 33
Let h be ((-320)/(-24))/4 - 40/18. Determine p, given that -h*p**3 - 4/9*p**2 + 5/9*p + 2/9*p**4 + 5/9*p**5 + 2/9 = 0.
-1, -2/5, 1
Factor 35*v**2 + 5/3*v**4 + 0*v + 0 - 110/3*v**3.
5*v**2*(v - 21)*(v - 1)/3
Let q = -223 + 223. Let c(v) be the second derivative of -4/7*v**3 + 1/147*v**7 + 1/21*v**4 + 8*v + 11/70*v**5 + q + 2/35*v**6 - 8/7*v**2. Factor c(a).
2*(a - 1)*(a + 1)*(a + 2)**3/7
Let -4*v**4 - 4510*v**2 + 8*v - 3*v**3 + 3*v**4 + 4516*v**2 = 0. Calculate v.
-4, -1, 0, 2
Let a(v) be the first derivative of -2 + 2/57*v**3 + 10/19*v**2 + 50/19*v. Let a(i) = 0. Calculate i.
-5
Let j(w) be the second derivative of -9*w**4/8 + 19*w**3/8 - 3*w**2/8 - 372*w. Factor j(o).
-3*(o - 1)*(18*o - 1)/4
Solve -18 + 73*d**2 - 138*d**2 - 6*d - 25 + 3 + 72*d**2 = 0 for d.
-2, 20/7
Let m = 32 - 88. Let o = m + 56. Solve -32/15*p**4 + o - 56/15*p**3 - 32/15*p**2 - 2/5*p = 0.
-3/4, -1/2, 0
Let z(l) = -13 + 3*l + 12 - 31 - 5*l. Let f be z(-18). Suppose 4/13*u**2 + 0 + 0*u**f - 6/13*u**3 + 2/13*u**5 + 0*u = 0. What is u?
-2, 0, 1
Let o be 39/(-3) + (-105)/(-6). Solve -3/2*q**4 - 1 - 15/2*q**2 - o*q - 11/2*q**3 = 0 for q.
-1, -2/3
Let z(r) be the first derivative of -13778*r**3/3 + 332*r**2 - 8*r + 248. Factor z(g).
-2*(83*g - 2)**2
Factor 128*h**2 - 138*h**2 + 3 + 1 - 18*h.
-2*(h + 2)*(5*h - 1)
Let l(g) = -5*g**2 - g + 3. Let b(n) be the third derivative of -1/4*n**4 + 8/3*n**3 - 7*n**2 + 0*n + 0 - 13/30*n**5. Let f(v) = -3*b(v) + 16*l(v). Factor f(i).
-2*i*(i - 1)
Factor -1/4*m**4 + 9/2*m**2 - 1/4*m**3 + 13*m + 10.
-(m - 5)*(m + 2)**3/4
Let d be ((0 - 3)/(-1))/(27/18). Solve -7*l**2 + d*l + 0*l**2 - 5*l**2 + 6*l = 0 for l.
0, 2/3
Let s be (-1282)/60 - (78/(-15) + 5). Let q = s - -43/2. Find f such that 7/6*f**4 + 1/6*f + 5/6*f**2 + 0 + 3/2*f**3 + q*f**5 = 0.
-1, -1/2, 0
Suppose m + m + 6 = 0, 0 = -5*g - 4*m - 2. Factor 18*a + 80 - 3*a**2 + 2*a**g + 22*a + 6*a**2.
5*(a + 4)**2
Let d(a) be the second derivative of -a**7/3780 + a**6/1080 - a**4/12 - 13*a. Let i(h) be the third derivative of d(h). Let i(v) = 0. What is v?
0, 1
Let w(d) = 6*d**3 + 9*d**2 + 3*d + 1. Let l be w(3). Let j = l - 1768/7. Factor 6/7*v - 9/7 + j*v**2.
3*(v - 1)*(v + 3)/7
Let u = 13016 - 143160/11. Find o, given that -2/11*o**3 + 0 - u*o + 18/11*o**2 = 0.
0, 1, 8
Let s(l) be the first derivative of -2*l**5/5 + 3*l**4/2 + 10*l**3 + 17*l**2 + 12*l + 58. Let s(t) = 0. What is t?
-1, 6
Suppose 7*k - 3*k + 828 = 0. Let u = k + 207. Determine a so that 1/7*a**3 + 1/7*a**5 + 2/7*a**4 + 0*a + u + 0*a**2 = 0.
-1, 0
Let s(m) be the second derivative of 0 + 2/3*m**3 - 6*m + 5/6*m**4 + 0*m**2. Factor s(w).
2*w*(5*w + 2)
Let d(a) = -4*a - 2. Let k(h) = -h**2 + 20*h + 11. Let c = -45 + 41. Let v(r) = c*k(r) - 22*d(r). Let v(p) = 0. What is p?
-2, 0
Let g = -98 - -102. Let j(f) be the second derivative of -4*f**3 + 6*f**2 + 4*f + 0 + 3/4*f**g. Factor j(p).
3*(p - 2)*(3*p - 2)
Factor 10*h + 20*h**2 + 4*h**2 - 2*h**3 + 36 - h**3 - 67*h.
-3*(h - 4)*(h - 3)*(h - 1)
Let j be 8/3*18/12. Let a be (j/(-10))/(88/(-165)). Factor 3/4*n**3 + 3/4*n**2 - 3/4*n - a.
3*(n - 1)*(n + 1)**2/4
Suppose 4*p - 3 = 3*p. Let 528*l + 6115*l**p - 791*l**3 - 32 - 1177*l**2 - 1727*l**2 = 0. What is l?
2/11
Let g(b) be the second derivative of -b**4/6 - 172*b**3/3 - 7396*b**2 + 209*b. Factor g(h).
-2*(h + 86)**2
Let t(m) = m**2 + 2*m - 1. Let l be t(1). Suppose -l*j + 8 = -j. Factor x**3 - 13*x**5 + 17*x**5 + j*x**4 + 3*x**3.
4*x**3*(x + 1)**2
Let i(t) = t**4 + t**2 + t. Let m(p) = -25*p**4 - 50*p**3 - 85*p**2 + 280*p - 180. Let v(b) = 20*i(b) + m(b). Factor v(q).
-5*(q - 1)**2*(q + 6)**2
Let k(v) be the third derivative of v**5/60 - v**4/8 - 2*v**3/3 + 270*v**2. Find a such that k(a) = 0.
-1, 4
Let -z**2 + 0*z**2 - 2*z**2 + 48*z - 17*z**3 + 7*z**2 + 13*z**3 = 0. Calculate z.
-3, 0, 4
Let q(d) = -84*d - 588. Let v be q(-7). Factor 0 + 4/7*r**3 + 4/7*r**4 + v*r**2 + 0*r.
4*r**3*(r + 1)/7
What is j in 338 - 27*j - 52 - 18*j + 198 + 4*j**2 - 43*j = 0?
11
Let f = 3598 - 971459/270. Let a(d) be the third derivative of 1/1512*d**8 + 1/108*d**4 + 0*d**5 + 0*d + 0*d**7 + 0*d**3 + 9*d**2 - f*d**6 + 0. Factor a(m).
2*m*(m - 1)**2*(m + 1)**2/9
Let y(p) be the second derivative of p**5/200 - p**4/10 - 9*p**3/20 + 243*p**2/10 - 340*p. Factor y(f).
(f - 9)**2*(f + 6)/10
Let n(d) be the second derivative of 7*d**7/18 - 119*d**6/90 - 4*d**5/3 + 46*d**4/9 + 56*d**3/9 + 8*d**2/3 + 78*d. Let n(w) = 0. What is w?
-1, -2/7, 2
Let l = 5 - 2. Let p = -2 + l. Let q(h) = 10*h**4 + 2*h**3 - 4*h**2 - 8*h + 8. Let g(y) = y**4 - y + 1. Let b(t) = p*q(t) - 8*g(t). Suppose b(n) = 0. What is n?
-2, 0, 1
Let o(p) be the first derivative of 10 - 3*p**3 + 8*p + 14*p**2 - 4*p**2 + 8*p**2 + 7*p**3 - 4*p**4. Factor o(f).
-4*(f - 2)*(f + 1)*(4*f + 1)
Let l(t) be the second derivative of -t**4/12 - 5*t**3/6 + 4*t**2 - 3*t. Let v be l(-6). Factor 2*z**v + 5*z + 1 - 7*z - z**2.
(z - 1)**2
Let m = -792 - -796. Factor -p + 1/4 - p**3 + 1/4*p**m + 3/2*p**2.
(p - 1)**4/4
Suppose -7*k - 8 = -43. Let f(q) = -10*q**2 - 4*q + 8. Let n(y) = 8*y**2 + 4*y - 7. Let j(h) = k*f(h) + 6*n(h). Factor j(x).
-2*(x - 1)**2
Let p be -3*(-48)/(-126)*56/(-16). Let t(w) be the first derivative of 5*w**3 + 0*w**2 + 5/4*w**p - 2 - 20*w. Let t(s) = 0. Calculate s.
-2, 1
Let a(k) be the third derivative of 10*k**7/21 + 13*k**6/3 + 83*k**5/5 + 104*k**4/3 + 128*k**3/3 - 10*k**2 + 4*k. Factor a(l).
4*(l + 1)**2*(5*l + 8)**2
Let u(h) be the third derivative of h**5/15 - h**4 + 6*h**3 - 27*h**2 + 2*h. Suppose u(c) = 0. Calculate c.
3
Let v(t) be the second derivative of t**5/60 - 61*t**4/36 - 125*t**3/18 - 21*t**2/2 + 104*t. Suppose v(p) = 0. Calculate p.
-1, 6