2). What is f in 0*f - 8/5*f**2 + w*f**3 - 2/15*f**5 + 2/15*f**4 + 0 = 0?
-3, 0, 2
Let u(n) be the second derivative of 1/54*n**4 - 11*n + 0*n**3 + 0 - 1/9*n**2. Determine f so that u(f) = 0.
-1, 1
Determine v, given that 318*v**4 - 108*v + 11*v**3 - 319*v**4 - 97 - 18*v**2 + 313 = 0.
-3, 2, 6
Suppose 2*j - 1 = 7. Let w be (-3 - -2)/((-2)/j). Let 10*o**3 - 47*o**2 + 65*o**w - 4*o + 2 - 2*o**3 + 16*o = 0. Calculate o.
-1, -1/4
Let x be -2*(-1 + (-175)/(-155)). Let q = 68/217 - x. Factor -1/7*v**2 + q*v - 3/7.
-(v - 3)*(v - 1)/7
Let z be 1*2*10/40*6. Let g(v) be the second derivative of 55/6*v**z - 55/12*v**4 - 5*v**2 + 0 + 3/2*v**6 - 15/4*v**5 - 7*v. Factor g(k).
5*(k - 2)*(k + 1)*(3*k - 1)**2
Determine i, given that 16/3 - 7*i**4 - 55/3*i**3 + 20*i + 0*i**2 = 0.
-2, -4/3, -2/7, 1
Factor 9/2*g + 6 - 1/6*g**3 - 5/3*g**2.
-(g - 3)*(g + 1)*(g + 12)/6
Let b(a) be the first derivative of -a**5/15 + 2*a**3/3 + 10*a**2 + 5. Let i(z) be the second derivative of b(z). Factor i(m).
-4*(m - 1)*(m + 1)
Suppose -4*w = -3*w - f - 5, -3*f - 17 = -4*w. Factor 295*p - 299*p + 4*p**2 + 4*p**3 + 0*p**w - 4.
4*(p - 1)*(p + 1)**2
Suppose -2*d + 632 + 0*d**2 - 632 + 4*d + 2*d**2 = 0. What is d?
-1, 0
Suppose -150 = 3*p - 156. Factor p*m**5 + 10*m**2 - 8*m**3 + 3*m**5 - 17*m**3 + 10*m**3.
5*m**2*(m - 1)**2*(m + 2)
Let k = -128 - -142. Suppose -14 - 42 = -k*w. Find x such that -8/5 + 8*x - 4/5*x**3 - 42/5*x**2 + 14/5*x**w = 0.
-2, 2/7, 1
Solve 1/2*m - 2 + 1/4*m**2 = 0.
-4, 2
Let h(b) = 35*b**3 - 55*b**2 - 15*b + 15. Let r(p) = 5*p**3 + 8*p**3 + 4*p + 21*p**2 - 7*p**2 - 22*p**3 - 4. Let l(i) = 4*h(i) + 15*r(i). Factor l(y).
5*y**2*(y - 2)
Let g = -202 + 214. Let y be (-2)/7 + 37/7. Factor 2*c**5 - 9*c**2 - 8*c**3 + c**2 + g*c + 12*c**4 - y*c**5 - 4 - c**5.
-4*(c - 1)**4*(c + 1)
Let f = 495 - 493. Let y(t) be the third derivative of -1/6*t**4 - 1/3*t**3 + 0*t + f*t**2 - 1/30*t**5 + 0. Suppose y(s) = 0. What is s?
-1
Let d(x) be the first derivative of -1/9*x**3 + 4 - 1/18*x**4 + 1/9*x + 0*x**2. Factor d(w).
-(w + 1)**2*(2*w - 1)/9
Factor 3/4*q - 3/4*q**2 + 0.
-3*q*(q - 1)/4
Let b = 35/192 - 1/64. Let z(y) be the third derivative of -b*y**4 - y**2 - 1/10*y**5 + 0*y**6 + 0*y**3 + 0*y + 1/105*y**7 + 0. Factor z(k).
2*k*(k - 2)*(k + 1)**2
Let n = -85 + 349/4. Let h be 8 - ((-5301)/36)/(-19). Determine u so that -h*u**5 - 3/2*u**4 + 0 + 0*u - n*u**3 + 0*u**2 = 0.
-3, 0
Let y(j) be the first derivative of -3*j**6/4 - 69*j**5/10 + 4*j**4 + 10*j**3 - 8*j**2 - 166. Solve y(q) = 0.
-8, -1, 0, 2/3
Determine r, given that -41*r**3 + 5*r**4 - 3*r**3 - 14*r**2 + 59*r**2 + 14*r**3 = 0.
0, 3
Let c(l) = -l**2 + 7*l + 10. Let v be c(8). Let -4*t + 20*t**3 + 38*t**2 - 15*t**v - 7*t**2 = 0. What is t?
-1, 0, 1/5
Factor 5*h**3 - 15 + 202*h**2 - 29*h - 100*h - 91 + 24 + 4*h.
(h - 1)*(h + 41)*(5*h + 2)
Let q(n) be the second derivative of n**5/60 + n**4/12 + n - 5. Find v such that q(v) = 0.
-3, 0
Let y(s) be the third derivative of -s**5/20 - 3*s**4/8 - 119*s**2. Factor y(x).
-3*x*(x + 3)
Let n = 127/7 + -18. Suppose 4*h - g = 17, -2 = -2*h + g + 5. Factor 4/7*p**2 - 6/7*p**3 + 0 - n*p + 4/7*p**4 - 1/7*p**h.
-p*(p - 1)**4/7
Let 36/5*n - 16/5 + 52/5*n**2 = 0. Calculate n.
-1, 4/13
Let w = 2807512 - 5415690011/1929. Let h = 2/643 + w. Find c such that 4/3 + h*c**2 - 5/3*c = 0.
1, 4
Suppose -2464*j + 87*j**3 - 1105*j**2 - 15*j**3 - 193 - 1915*j**2 - 303 + 28*j**3 = 0. What is j?
-2/5, 31
Let z be ((-2)/18 - 0)/(6216/(-20979)). Factor -3/8*w + z*w**3 + 9/8 - 9/8*w**2.
3*(w - 3)*(w - 1)*(w + 1)/8
Let g = 23 - 20. Find m, given that -5*m**g + 3*m - 2 + 2 + 2*m = 0.
-1, 0, 1
Let r be (-30)/(-24)*(-18)/(-75). Let x(i) be the first derivative of 5 - 1/5*i + r*i**2 + 1/20*i**4 - 1/5*i**3. Factor x(h).
(h - 1)**3/5
Let a(z) = 7*z**3 - 67*z**2 + 72*z + 3. Let n(m) = -48*m**3 + 468*m**2 - 500*m - 20. Let o(j) = -20*a(j) - 3*n(j). Factor o(q).
4*q*(q - 15)*(q - 1)
Let m(l) be the second derivative of -l**7/273 - 8*l**6/195 - 5*l**5/26 - 19*l**4/39 - 28*l**3/39 - 8*l**2/13 - 195*l. Factor m(x).
-2*(x + 1)**2*(x + 2)**3/13
Let a(x) be the second derivative of x**7/105 - x**6/15 + 3*x**5/25 + x**4/15 - 7*x**3/15 + 3*x**2/5 - 17*x. Factor a(w).
2*(w - 3)*(w - 1)**3*(w + 1)/5
Let i be (-2)/(330/132*1*-4). Factor -1/5*v**2 - i*v + 1/5*v**4 + 0 + 1/5*v**3.
v*(v - 1)*(v + 1)**2/5
Let q = -83 + 99. Let 25*p - 48*p**2 - q*p - 36*p**3 + 28*p**4 + 7*p = 0. What is p?
-1, 0, 2/7, 2
Let b be 9 - -1*(2 + -8). Let f(l) be the second derivative of 1/11*l**2 - 1/33*l**b - 1/66*l**4 + 1/110*l**5 + 0 + 5*l. What is i in f(i) = 0?
-1, 1
Factor -8*x - 98*x**2 - 94*x**3 + 51 + 60*x + 42*x + 2*x**4 + 45.
2*(x - 48)*(x - 1)*(x + 1)**2
Factor 11*l**3 + 1/2*l - 23/2*l**2 + 0.
l*(l - 1)*(22*l - 1)/2
Let y = -7 + 9. Suppose -110 = -y*j + 34. Factor 0*b - 8*b**2 - 36*b - j + 56.
-4*(b + 4)*(2*b + 1)
Find a such that -9*a**3 - 15356*a**2 + 5*a - 3*a**4 + 15359*a**2 + 3*a**5 + a = 0.
-1, 0, 1, 2
Factor -4*k**2 + 23*k - 8*k**3 - 26*k + 4*k**4 + 11*k.
4*k*(k - 2)*(k - 1)*(k + 1)
Suppose -5*f = -13 - 22. Let x(d) be the second derivative of 0 + 4*d - 1/90*d**6 + 1/60*d**5 + 1/36*d**4 - 1/126*d**f + 0*d**2 + 0*d**3. Factor x(r).
-r**2*(r - 1)*(r + 1)**2/3
Let l(z) be the first derivative of 2*z**3/9 - 11*z**2/3 + 12*z - 19. Factor l(i).
2*(i - 9)*(i - 2)/3
Solve -3/5*k**3 + 24*k - 132/5 - 21/5*k**2 = 0.
-11, 2
Let t(q) = 7*q - 144. Let y be t(21). Let u(i) be the second derivative of -1/12*i**4 - 5*i + 0 + 1/6*i**y + i**2. What is h in u(h) = 0?
-1, 2
Factor -31/4*c**3 + 13/8*c**4 + 1/8*c**5 + 17/8 - 67/8*c + 49/4*c**2.
(c - 1)**4*(c + 17)/8
Let g(h) = h**2 - 14*h - 12. Let a be g(15). Factor q**4 - q**5 - 5*q + 4*q**2 + 2*q**4 + 2*q**4 + 6*q**2 - 10*q**a + 1.
-(q - 1)**5
Let b = 22685/277032 + 5/2328. Let m = 1/17 + b. Factor 0 + 0*s**2 + 0*s**4 - m*s**5 - 1/7*s + 2/7*s**3.
-s*(s - 1)**2*(s + 1)**2/7
Let t(p) = 92*p + 462. Let l be t(-5). Factor 0*o + 1/4 - 1/4*o**l.
-(o - 1)*(o + 1)/4
Let t = 7 - 0. Let n = -3 + t. What is s in 0*s**2 - n*s**3 + 7*s**3 - s**2 - 5*s**2 = 0?
0, 2
Let u be ((-12)/9)/((-2)/12). Let r = -4 + u. Suppose -2 - 20*x + 7*x**3 + 4*x**5 + 8*x**3 - 6 + 16*x**r + x**3 - 8*x**2 = 0. Calculate x.
-2, -1, 1
Let q = -32 + 36. Suppose 5*w = 4*c + 12, -11 = -2*c - q*w + 9. Suppose -3/2*b**4 - 9*b**c - 3/2 + 6*b + 6*b**3 = 0. Calculate b.
1
Let z = 6 + -3. Let w(b) be the second derivative of 0*b**2 + 2*b + 1/20*b**5 + 2/3*b**z - 1/3*b**4 + 0. Factor w(l).
l*(l - 2)**2
Let h(f) = f**2 - 2*f. Let o be h(3). Let i(v) be the first derivative of -1/12*v**o - 1/4*v**2 + 0*v - 4 + 1/16*v**4. Let i(z) = 0. What is z?
-1, 0, 2
Suppose -r = 2*r - 27. Suppose -6*n + r*n - 12 = 0. Find g, given that 3*g**4 + 0*g**4 - 6*g**4 + g**n = 0.
0
Suppose 0 = 16*u - 7*u - 27. Suppose -3/2*m**4 + 1/2 - 5*m**5 + 8*m**u + m**2 - 3*m = 0. Calculate m.
-1, 1/5, 1/2, 1
Let o(p) = p**4 - 60*p**3 + 184*p**2 + 4. Let j(h) = 60*h**3 - 185*h**2 - 5. Let n(l) = -4*j(l) - 5*o(l). Determine f, given that n(f) = 0.
0, 6
Let b = 603 - 603. Let -3/2*d + 2*d**3 - 1/2*d**5 - 1 + d**2 + b*d**4 = 0. Calculate d.
-1, 1, 2
Suppose -2*o + 2 = -2. Let s = 0 + o. Factor 0*l**2 - 4*l**4 - 4*l**3 + 6*l**3 + 4*l**2 - s*l.
-2*l*(l - 1)*(l + 1)*(2*l - 1)
Determine v so that 19 - 113/4*v**2 - 3/4*v**3 - 24*v + 5/2*v**4 = 0.
-2, 1/2, 19/5
Find r, given that 39*r**3 - 5*r**2 + 42*r**3 - 86*r**3 + 5*r + 5*r**4 = 0.
-1, 0, 1
Let k(q) be the first derivative of q**8/1050 + q**7/2100 - 11*q**3/3 + 10. Let i(r) be the third derivative of k(r). Factor i(x).
2*x**3*(4*x + 1)/5
Determine t, given that -395/2*t + 685/4*t**2 + 70 + 5/4*t**5 - 65/4*t**4 - 115/4*t**3 = 0.
-4, 1, 14
Let c be (7 - 6) + (-26)/(-8) - (-268)/(-1072). Determine h so that 16/7 - 6/7*h**5 - 8/7*h - 36/7*h**2 + 26/7*h**3 + 8/7*h**c = 0.
-2, -2/3, 1, 2
Let z = -664 + 39841/60. Let f(t) be the second derivative of 1/180*t**6 - z*t**5 + 0*t**2 - 7*t + 0*t**4 + 0*t**3 + 0. Let f(i) = 0. Calculate i.
0, 2
Let x(u) be the first derivative of 17 + 0*u - 5/4*u**4 - 5/2*u**2 - 10/3*u**3. Find i such that x(i) = 0.
-1, 0
Let h = 2 + 2. What is n in -9*n - 4*n**4 + h*n**5 + 8*n**2 + 13*n - 8*n**3 - 4 + 0 = 0?
-1, 1
Let p(q) be the first derivative of q**6/1260 - q**5/60 + 2*q**3/3 + 33*q**2/2 - 48. Let i(b) be the third de