2 - 15. Let o(n) be the second derivative of f(n). Let o(c) = 0. What is c?
-1, 0, 1
Suppose -f + 2116*o + 32 = 2121*o, f + 10 = 2*o. Solve 0*v**4 + 0 + 6/7*v**3 - 3/7*v**5 - 3/7*v + 0*v**f = 0 for v.
-1, 0, 1
Let h(o) = 12*o**2 + 4*o + 648. Let g(k) = -2*k**2 - k - 129. Let z(l) = -16*g(l) - 3*h(l). Factor z(p).
-4*(p - 6)*(p + 5)
Let c(a) be the third derivative of -a**6/300 + 23*a**5/50 + 7*a**4/6 - 198*a**2. Suppose c(o) = 0. What is o?
-1, 0, 70
Suppose 2*r - 16*c + 18*c + 2 = 0, 2*c = r - 8. Let 2/7 - 6/7*t + 4/7*t**r = 0. Calculate t.
1/2, 1
Let g = -16165/36 + 4048/9. Solve -g + 7/8*d - 1/4*d**2 = 0.
3/2, 2
Let h(j) be the first derivative of -2*j**5/15 - 19*j**4/6 - 68*j**3/9 + 250. Suppose h(v) = 0. Calculate v.
-17, -2, 0
Suppose 132*a = 184*a. Factor 0 + s**3 + 1/3*s**2 + s**4 + 1/3*s**5 + a*s.
s**2*(s + 1)**3/3
Let d be (-35)/(-42)*18/50. Let g(b) be the second derivative of 0*b**2 + 7*b + 0 + d*b**3 - 1/20*b**4. Factor g(v).
-3*v*(v - 3)/5
Suppose 4*p + 4*q = 76 - 68, 2*p - 5*q - 4 = 0. Solve 26/5*v**p + 4*v - 24/5 - 3/5*v**4 - 1/5*v**3 = 0 for v.
-2, 2/3, 3
Let i = -6217 + 6220. Suppose 8/9 - 2/9*b**4 - 16/9*b + 4/9*b**i + 2/3*b**2 = 0. What is b?
-2, 1, 2
Let m = -19437/20 - -4863/5. Find q, given that 3/2 + m*q**3 + 15/4*q + 3*q**2 = 0.
-2, -1
Let s(q) be the first derivative of -12 - 1/90*q**6 + 0*q**2 - 1/15*q**5 - 1/3*q**3 + 1/2*q**4 + 0*q. Let v(x) be the third derivative of s(x). Factor v(l).
-4*(l - 1)*(l + 3)
Let h = 5/1241 - 313983/2482. Let o = h + 128. Suppose o - 9/4*g**3 + 3/4*g - 3*g**2 = 0. Calculate g.
-1, 2/3
Let o(t) be the first derivative of t**9/7560 + t**8/4200 - t**7/700 - t**6/180 - t**5/150 + 3*t**3 + 27. Let l(n) be the third derivative of o(n). Factor l(j).
2*j*(j - 2)*(j + 1)**3/5
Let o(n) be the third derivative of -n**5/510 + 53*n**4/102 - 2809*n**3/51 + 15*n**2. Factor o(y).
-2*(y - 53)**2/17
Let b = -950 - -954. Determine y, given that -2/7*y**2 + 4/7*y**3 - 2/7*y**b + 0*y + 0 = 0.
0, 1
Let w = 345 + -339. Let p(y) be the first derivative of 1/2*y**4 + 10/3*y**3 + 8*y**2 + 8*y + w. Determine c so that p(c) = 0.
-2, -1
Let t**3 - 7*t**2 + t**3 - 3*t**3 - 15*t - 15*t**2 + 6*t**2 = 0. Calculate t.
-15, -1, 0
Let s(m) = m**3 + 6*m**2 - 8*m - 5. Let l be s(-5). Suppose l*z - 23*z**2 + 125*z**3 + 6*z**2 - 8 - 133*z**2 = 0. Calculate z.
2/5
Factor 15 - 12*o**3 + 145*o + 54 + 20*o**2 + 7*o**3 + 31 + 20.
-5*(o - 8)*(o + 1)*(o + 3)
Solve -30/17 - 162/17*g**2 - 134/17*g - 8/17*g**5 - 2/17*g**3 + 48/17*g**4 = 0 for g.
-1, -1/2, 3, 5
Suppose -2*z + 70 = -4*z - 2*s, -4*z + 2*s = 134. Let g be ((-12096)/(-765))/12 + 4/z. Factor g*b - 2/5*b**2 + 0.
-2*b*(b - 3)/5
Let m(h) = -h**2 - 107*h + 446. Let o be m(4). Factor 11/3*p**3 + 0 - 2/3*p**4 - 10/3*p**o - 8/3*p.
-p*(p - 4)*(p - 2)*(2*p + 1)/3
Let s(r) = -5*r**4 - 6*r**3 + 11*r**2 + 3*r - 3. Let m(q) = -q**4 + q**2 + q - 1. Let j(f) = 3*m(f) - s(f). Find u, given that j(u) = 0.
-4, 0, 1
Let p(l) be the first derivative of -8/11*l + 11 - 5/11*l**2 - 2/33*l**3. Factor p(f).
-2*(f + 1)*(f + 4)/11
Let q be (1 - 3) + (-1 - -2). Let w(u) = u**3. Let c(o) be the third derivative of 7*o**5/30 - o**4/4 + 2*o**2 + 38*o. Let f(i) = q*c(i) + 4*w(i). Factor f(j).
2*j*(j - 3)*(2*j - 1)
Let m(i) be the third derivative of 0*i + 0 + 0*i**3 - 1/120*i**4 - 1/300*i**5 - 33*i**2. What is a in m(a) = 0?
-1, 0
Factor -20*r + 209 - 5*r**3 - 20*r**2 - 209.
-5*r*(r + 2)**2
Let d(z) = z**3 + z**2 + z - 1. Let s(m) = -53*m**2 - 166 + 3*m**3 - 1059*m + 766*m - 2*m**3 - 81. Let y(p) = 4*d(p) - s(p). Factor y(q).
3*(q + 1)*(q + 9)**2
Let w(d) be the third derivative of 0*d - 1/90*d**5 + 1/504*d**8 + 0 + 0*d**3 + 1/315*d**7 + 0*d**4 - 43*d**2 - 1/180*d**6. Determine y so that w(y) = 0.
-1, 0, 1
Let y(m) = -m**2 - m - 2. Let p(b) = 2435*b**2 + 235*b + 35. Let i(w) = p(w) + 15*y(w). Factor i(z).
5*(22*z + 1)**2
Let w(o) be the second derivative of 9*o**7/70 - 53*o**6/50 + 9*o**5/4 + 9*o**4/20 - 12*o + 1. Let w(k) = 0. Calculate k.
-1/9, 0, 3
Suppose 0 = -2*u - 2, 0*d + 3*d + 1 = -4*u. Let c be 2/6*(-2 + d) - -1. Factor -4/3*i - 2/3 - c*i**2.
-2*(i + 1)**2/3
Let o be (-4)/(-16)*-3 - 237/(-315). Let h(s) be the third derivative of -1/105*s**5 + 1/84*s**4 + 0 + 6*s**2 + 0*s**3 + o*s**6 + 0*s. Let h(f) = 0. What is f?
0, 1
Suppose -3*m + 4*a = -17, -4*a = -5*m - 0*a + 23. Factor -4*u**2 + 5*u**2 + 5*u**3 - u**m + 7*u**2.
4*u**2*(u + 2)
Factor -15*x**3 + 0*x**3 + 5*x**5 - 100*x**2 + 90*x**2.
5*x**2*(x - 2)*(x + 1)**2
Let m be 130/10 + (16 - 27). Factor -1/3*l - 1/3*l**3 + m - 4/3*l**2.
-(l - 1)*(l + 2)*(l + 3)/3
Let u(k) be the first derivative of k**5/60 - k**4/12 + k**3/6 + 13*k**2/2 - 6. Let n(b) be the second derivative of u(b). Factor n(a).
(a - 1)**2
Let c(r) be the first derivative of -8 + 5/4*r**4 - 5/3*r**3 - 5/2*r**2 + 5*r. Factor c(k).
5*(k - 1)**2*(k + 1)
Let d(b) = b**3 + b**2 - b - 17. Let h be d(0). Let o = h + 19. Factor 25*i**2 + 4*i - 10*i**3 - 10 + o*i - 11*i.
-5*(i - 2)*(i - 1)*(2*i + 1)
Let b(i) = 4*i**2 - 63*i + 59. Let p(a) = -a**2 + 21*a - 20. Let n(z) = 2*b(z) + 7*p(z). Factor n(g).
(g - 1)*(g + 22)
Let c = 106 - 111. Let h be c*(-8)/(-20)*(-2 + 1). Determine i, given that -4/3*i**3 - 20/3*i - 16/3*i**h - 8/3 = 0.
-2, -1
Let f(r) be the second derivative of r**7/15 + 44*r**6/75 - 9*r**5/50 - 59*r**4/15 + 52*r**3/15 + 24*r**2/5 - 50*r. Let f(i) = 0. Calculate i.
-6, -2, -2/7, 1
Factor 112/5 - 26/5*k**3 - 184/5*k + 108/5*k**2 + 2/5*k**4.
2*(k - 7)*(k - 2)**3/5
Let n = -67 + 114. Factor -n*v**2 - 11 - 18*v - 43*v**2 - 5 + 88*v**2.
-2*(v + 1)*(v + 8)
Let o(z) be the second derivative of z**4/6 - 8*z**3/3 + 12*z**2 - 364*z. Factor o(f).
2*(f - 6)*(f - 2)
Let z be -2 - -14*1/2. Let u be 135/(-25) + z + (-2)/(-5). Solve 2/3*y**3 + u - 2/3*y**2 + 0*y = 0.
0, 1
Let p be 12042/2295 - (0 - (-4)/(-10)). Factor 18/17*i**4 + p*i + 112/17*i**2 + 64/17*i**3 + 2/17*i**5 + 32/17.
2*(i + 1)*(i + 2)**4/17
Let o be 6/(-2) - (-34 + 31). Let y(i) be the first derivative of 6 + 0*i**2 + 0*i**3 - 2/3*i**6 + o*i**5 + i**4 + 0*i. Factor y(n).
-4*n**3*(n - 1)*(n + 1)
Let y(p) = -5*p**2 - 13*p + 2. Let i(g) = 20*g**2 + 51*g - 9. Let c(j) = 2*i(j) + 9*y(j). Solve c(k) = 0.
-3, 0
Suppose 3*c + 10*c = 26. Factor -10*u**4 + 16 + 35*u**3 - 21*u**3 + 12*u**4 + 36*u**c + 40*u.
2*(u + 1)*(u + 2)**3
Let g be (1 + 1/(-2))*2864/(-8). Let m = g + 1973/11. Solve -2/11 + 2/11*k**2 - 4/11*k + m*k**3 = 0 for k.
-1, -1/2, 1
Let a be (-9)/6*(-10)/5. Factor -4*k - 12*k**2 - 4*k + 4*k**3 - 2*k**5 + 3*k**5 + a*k**5 + 12*k**4.
4*k*(k - 1)*(k + 1)**2*(k + 2)
Suppose 5*p - 2*s + 0 = 4, -23 = -4*p - 5*s. Let t(f) = 13*f**2 - 8*f - 3. Let k(j) = j**2 - 1. Let z(u) = p*t(u) - 22*k(u). Let z(n) = 0. What is n?
2
Let i(g) be the third derivative of -g**7/105 - g**6/10 + g**5/2 - 2*g**4/3 - 25*g**2. Solve i(l) = 0 for l.
-8, 0, 1
Let m(v) be the third derivative of 0*v + 1/3*v**6 - 25/3*v**4 - 35*v**2 + 125/6*v**3 + 1/42*v**7 + 1/2*v**5 + 0. Find f such that m(f) = 0.
-5, 1
Suppose 8*o + 4/5*o**2 - 44/5 = 0. Calculate o.
-11, 1
Let z(w) be the first derivative of 2*w**6 - 8*w**5 - 6*w**4 + 32*w**3 + 22*w**2 - 24*w + 270. Solve z(b) = 0 for b.
-1, 1/3, 2, 3
Let q(w) be the second derivative of -w**6/180 + w**5/15 - w**4/3 + 11*w**3/6 + 5*w. Let z(y) be the second derivative of q(y). Find o, given that z(o) = 0.
2
Let w(z) = -12*z**4 + 90*z**3 - 6*z**2 - 99*z. Let g(x) = -9*x**4 + 67*x**3 - 5*x**2 - 74*x. Let p(v) = 9*g(v) - 7*w(v). Factor p(t).
3*t*(t - 9)*(t - 1)*(t + 1)
Let w be 2/(-9) + (-6)/(-27). Let i be w*2/(6 - 4). Determine r, given that -1/3*r**3 + 2/3*r**4 - 1/3*r**5 + i*r**2 + 0 + 0*r = 0.
0, 1
Let f(q) be the second derivative of -q**7/441 - q**6/315 + q**5/30 + q**4/126 - 2*q**3/21 - 3*q - 8. Suppose f(v) = 0. Calculate v.
-3, -1, 0, 1, 2
Let i(h) = 2*h**3 + 9*h**2 - 18*h + 3. Let a be i(-6). Let v(w) be the second derivative of 0 - 12*w - 25/8*w**2 - 1/48*w**4 + 5/12*w**a. Factor v(x).
-(x - 5)**2/4
Factor y**4 - 20*y**4 + 6*y - 11*y**4 - 27*y**3 - 3*y**4 - 12*y**5 - 3*y - 3*y**2.
-3*y*(y + 1)**3*(4*y - 1)
Let m(i) be the second derivative of -3/20*i**5 + 3/4*i**4 + 2*i - 9/2*i**2 + 1/2*i**3 + 0. Solve m(z) = 0.
-1, 1, 3
Suppose 591*c - 579*c = 0. Suppose 0 - 2/5*b**3 + 2/5*b**2 + c*b - 4/5*b**4 = 0. What is b?
-1, 