-7). Factor 0 + 0*r - 1/5*r**2 - 1/10*r**f.
-r**2*(r + 2)/10
Let b be -6*(-2)/4*(55 - -6). Let v be 244/b - (1 + -1). Determine d, given that -1/3*d**5 + v + 0*d + d**4 - 7/3*d**2 + 1/3*d**3 = 0.
-1, 1, 2
Let k(l) be the first derivative of l**6/16 + 3*l**5/8 + 3*l**4/8 + 2125. Factor k(j).
3*j**3*(j + 1)*(j + 4)/8
Suppose 548*p + 372*p - 40870 = 663 + 93707. Find m, given that -24*m**3 + 231/2*m**2 + 3/2*m**4 + 0 - p*m = 0.
0, 2, 7
Let f(g) = 74*g**2 + 69360*g - 120270282. Let d(i) = 16*i**2 + 13872*i - 24054057. Let y(m) = -14*d(m) + 3*f(m). What is w in y(w) = 0?
3468
Let l(n) be the second derivative of -n**5/50 - 16*n**4/15 + 4*n**3/15 + 128*n**2/5 + 168*n + 15. Factor l(q).
-2*(q - 2)*(q + 2)*(q + 32)/5
Let v be (-119)/(-7)*(-3)/(-3). Suppose -15 = -5*x, -v - 5 = -5*t + x. Solve -3*s**t + 8*s**3 - 10*s**3 + 5*s**3 = 0.
-1, 0, 1
Let d be ((-15120)/2520)/(4/(-8) + (-14)/32). Factor d*g**3 + 64/5*g**2 - 4/5*g**5 - 8/5*g**4 - 64/5*g - 128/5.
-4*(g - 2)**2*(g + 2)**3/5
Solve 1068/17*w**2 + 876/17*w**3 + 90/17 - 6/17*w**5 + 250/17*w**4 + 538/17*w = 0.
-1, -1/3, 45
Let l(n) be the third derivative of 0 - 7*n**2 + 5/33*n**4 + 0*n + 1/330*n**5 + 100/33*n**3. Find a, given that l(a) = 0.
-10
Suppose 4*g - 5*c + 5 = -10, -9 = 2*g - 3*c. Suppose 18*l - 57 - 15 = g. Let 2/7*u + 3/7*u**l + 0 - 3/7*u**2 - 2/7*u**3 = 0. What is u?
-1, 0, 2/3, 1
Let a(x) = -10*x**3 - 13*x**2 + x + 4. Suppose -b = 4*b + 180. Let i(v) = -v**3 - 1. Let z(u) = b*i(u) + 4*a(u). Factor z(t).
-4*(t - 1)*(t + 1)*(t + 13)
Factor 484/5*z - 984/5 + 4/5*z**2.
4*(z - 2)*(z + 123)/5
Let -2493/2*d**2 - 5184*d - 3/4*d**4 - 231/4*d**3 - 5832 = 0. Calculate d.
-36, -3, -2
Let z = -415537 - -415540. Let p be 72/91 - (-2)/7. Factor p*y**2 + 16/13*y - 32/13 + 2/13*y**z.
2*(y - 1)*(y + 4)**2/13
Let r(n) be the first derivative of 2*n**5/5 + 29*n**4/2 + 550*n**3/3 + 847*n**2 + 528. What is z in r(z) = 0?
-11, -7, 0
Let r(u) = u**2 - u. Let i be r(-1). Let l = 2543 + -2464. Factor -3*x**3 - 231*x**2 + 15*x + 83*x**2 + l*x**i + 81*x**2.
-3*x*(x - 5)*(x + 1)
Let n(p) be the first derivative of p**6/1080 - p**5/60 + 5*p**4/72 + 55*p**3/3 - 40. Let g(y) be the third derivative of n(y). Solve g(f) = 0 for f.
1, 5
Let g(o) = -31*o**2 + 60*o - 97. Suppose 3*t = 12*t + 63. Let b(s) = 14*s**2 - 30*s + 48. Let v(j) = t*b(j) - 3*g(j). Let v(p) = 0. Calculate p.
3
Suppose 76 + o**3 - 14*o**2 - 6*o**2 + 88*o + 103 - 35 + 37*o**2 = 0. Calculate o.
-9, -4
Determine n so that -96/7*n + 2/7*n**2 + 72 = 0.
6, 42
Let s(v) be the second derivative of v**5/60 - 44*v**4/9 + 173*v**3/18 + 175*v**2/3 + 329*v. Factor s(i).
(i - 175)*(i - 2)*(i + 1)/3
Let x be (0 - 1/(-4))/((-2)/(-32)). Find l, given that 3*l**3 + 465*l**4 - 10*l + 3*l**3 - 2*l**3 - 464*l**x - 3*l**2 + 8 = 0.
-4, -2, 1
Let q = 64419 - 322077/5. Factor 2*h**2 - q + 6/5*h + 2/5*h**3.
2*(h - 1)*(h + 3)**2/5
Let c(h) = h**4 + 2*h**3 - 285*h**2 - 278*h. Let d(v) = 2*v**4 - v**3 - v. Let l(n) = c(n) + 2*d(n). Let l(y) = 0. What is y?
-7, -1, 0, 8
Let w(j) be the third derivative of -6*j**2 + 0 - 5*j**3 + 1/40*j**6 - 19/40*j**5 - 5*j + 49/16*j**4. Factor w(t).
3*(t - 5)*(t - 4)*(2*t - 1)/2
Let d(m) be the first derivative of m**5 + 175*m**4/4 - 560*m**3/3 + 190*m**2 + 2649. Factor d(o).
5*o*(o - 2)*(o - 1)*(o + 38)
Let w = 5 - 5. Let d(g) = -5*g**3 + 390*g**2 - 11*g + 862. Let b be d(78). Factor -4/3*p**2 + p**b + w + 0*p**3 + 1/3*p**5 + 0*p.
p**2*(p - 1)*(p + 2)**2/3
Let l be (1/10)/(18/(-1308)). Let i = l + 23/3. Factor 0*s + 1/5*s**3 - i*s**2 + 0.
s**2*(s - 2)/5
Let f(o) be the second derivative of -49/40*o**6 - 4*o**4 + 12*o - 2*o**3 + 0 - 77/20*o**5 + 9*o**2. Let w(c) be the first derivative of f(c). Factor w(a).
-3*(a + 1)*(7*a + 2)**2
Suppose -27 + 59 = -8*h. Let f be (2/(-33))/(h*14/168). Factor f*l**2 + 162/11 - 36/11*l.
2*(l - 9)**2/11
Suppose -3*j + 12 = -0*j. Suppose k + h = -j, -3*h - 20 = -k + 2*h. Factor -16/5*m**3 + 16/5*m**2 + k*m + 4/5*m**4 + 0.
4*m**2*(m - 2)**2/5
Find l, given that -75/2 + 197/2*l - 67/2*l**2 - l**4 - 53/2*l**3 = 0.
-25, -3, 1/2, 1
Solve -4 - 4/3*d**3 + 4/3*d + 4*d**2 = 0.
-1, 1, 3
Let z(d) be the third derivative of -1/60*d**6 + 0*d**4 - 117*d**2 - 1/15*d**5 + 0 + 0*d**3 + 0*d + 2/105*d**7 + 1/168*d**8. Factor z(g).
2*g**2*(g - 1)*(g + 1)*(g + 2)
Let m(l) be the first derivative of -l**4/4 + l**3/3 + l - 60. Let k(z) = -20*z**3 + 5*z**2 + 15*z - 4. Let x(r) = -k(r) + 2*m(r). Factor x(w).
3*(w + 1)*(2*w - 1)*(3*w - 2)
Let o = 583 - 574. Factor o*u**2 + 1 - 1 + 1825*u**4 + 9*u - 2*u**3 - 1826*u**4 + u**3.
-u*(u - 3)*(u + 1)*(u + 3)
Let c(n) be the third derivative of -n**8/756 + 124*n**7/945 + 32*n**6/135 - 62*n**5/135 - 7*n**4/6 + 21*n**2 - 2*n - 6. Let c(v) = 0. Calculate v.
-1, 0, 1, 63
Let r(z) be the third derivative of z**5/60 + 1277*z**4/12 + 1630729*z**3/6 + 3*z**2 - 19*z + 7. Factor r(w).
(w + 1277)**2
Let b(n) be the first derivative of -5*n**4/4 - 3660*n**3 - 4018680*n**2 - 1961115840*n - 1910. Factor b(u).
-5*(u + 732)**3
Let k be (6/8*-289)/((-216)/(-192)). Let m = k + 387/2. Let 2/3 - 2*w + m*w**2 = 0. What is w?
2/5, 2
Let p(v) be the first derivative of 7*v**4/24 + 29*v**3/18 - v**2/6 - 4*v - 808. Determine l, given that p(l) = 0.
-4, -1, 6/7
Find f such that 149/8*f + 37/4 + 1/8*f**3 + 19/2*f**2 = 0.
-74, -1
Let d(n) be the second derivative of n**5/180 + 5*n**4/72 - 8*n**2 + 178*n. Let w(c) be the first derivative of d(c). Factor w(l).
l*(l + 5)/3
Let t(l) be the first derivative of -8*l**2 + 2*l**5 + 26 + 0*l - 28*l**3 - 9/2*l**4. Factor t(z).
2*z*(z - 4)*(z + 2)*(5*z + 1)
Let i be (-8448)/(-960) + 1/2*-16. Let -i*d**3 + 12/5*d + 1/5*d**4 + 9/5 - 2/5*d**2 = 0. Calculate d.
-1, 3
Factor -1568/9*q + 112/9*q**2 + 0 - 2/9*q**3.
-2*q*(q - 28)**2/9
Let y(w) be the first derivative of -28/5*w - 2/15*w**3 - 9/5*w**2 + 70. Factor y(u).
-2*(u + 2)*(u + 7)/5
Let v = -33 + 45. Let d be 10/(6/v - 6/(-4)). Suppose -2*o**2 + o**3 - 8*o**4 + 0*o**5 + 10*o**4 - o**d = 0. Calculate o.
-1, 0, 1, 2
Suppose 71*p = 54*p + 323. Suppose f + p*f - 40 = 0. Factor 2/3*t - 1/3*t**f + 0.
-t*(t - 2)/3
Factor -78/11 - 86/11*t**4 - 476/11*t**2 + 314/11*t + 324/11*t**3 + 2/11*t**5.
2*(t - 39)*(t - 1)**4/11
Let a(f) = -306*f**2 - 291*f + 33. Let n(y) = -76*y**2 - 73*y + 7. Let o(t) = 2*a(t) - 9*n(t). Solve o(d) = 0 for d.
-1, -1/24
Let u(y) be the third derivative of y**5/105 - 247*y**4/14 + 1476*y**3/7 + y**2 + 36*y - 1. Factor u(g).
4*(g - 738)*(g - 3)/7
Let z(a) = -12*a**2 + 14304*a + 14184. Let g(d) = -34*d**2 + 42912*d + 42583. Let n(l) = 4*g(l) - 11*z(l). Factor n(f).
-4*(f - 3577)*(f + 1)
Let p(j) = j**2 + 10*j - 7. Let x be p(-11). Suppose -s + x*s + s = 0. Solve s*b**3 - 2*b**3 + 3*b**2 - 5*b**3 + 10*b**3 = 0.
-1, 0
Let p(y) be the second derivative of 44*y + 1/27*y**4 + 1/60*y**5 - 1 + 0*y**2 + 0*y**3 - 1/270*y**6. Let p(x) = 0. Calculate x.
-1, 0, 4
Let r(v) be the third derivative of -v**6/72 + v**5/9 - 5*v**4/24 + 7814*v**2. Factor r(y).
-5*y*(y - 3)*(y - 1)/3
Let n(y) be the first derivative of 5*y**4/12 + 5*y**3/6 - 30*y**2 - 188*y - 57. Let r(b) be the first derivative of n(b). Factor r(d).
5*(d - 3)*(d + 4)
Let n = 521 + -294. Let s = n + -680/3. Find c, given that -s + 1/9*c**2 - 2/9*c = 0.
-1, 3
Let u = 183 + -181. Let h = 4 - 2. Factor -8 - 445*m + 6*m**h - u*m**2 + 449*m.
4*(m - 1)*(m + 2)
Let m(z) be the first derivative of 121*z**6/1260 - 11*z**5/210 + z**4/84 - 59*z**3/3 + 9. Let l(v) be the third derivative of m(v). Factor l(b).
2*(11*b - 1)**2/7
Let l(i) be the first derivative of -4*i**5/5 + 7*i**4 - 8*i**3 - 1103. Factor l(t).
-4*t**2*(t - 6)*(t - 1)
Determine r so that -5*r - 203*r**2 - 595 - 19801709*r**3 + 19801714*r**3 + 798*r**2 = 0.
-119, -1, 1
Let f(s) = 4*s**5 + 6*s**4 - 99*s**3 + 2*s**2 - 2*s + 4. Let x(a) = -a**5 + a**4 + a**3 + 2*a**2 - 2*a + 4. Let q(t) = -f(t) + x(t). Factor q(o).
-5*o**3*(o - 4)*(o + 5)
Let a be (-11)/(-22) - 9/(-6). Factor 177*o - 4 + 2*o**a + 40 + 2*o**2 - 153*o.
4*(o + 3)**2
Find a such that 3693*a**2 - 196*a**4 + 3220*a**3 + 2157*a**2 + 2288*a + 288 - 434*a**2 = 0.
-1, -2/7, 18
Let v = -1277 - -1312. Let j be (-6)/((-30)/v) - (-87)/(-15). Suppose 0 + j*b**4 - 4/5*b**2 + 0*b - 2*b**3 = 0. Calculate b.
-1/3, 0, 2
Let j be (-3)/18 + 222/36. Let y(c) = -c**3 + 9*c**2 - 16*c - 