/9*x**w.
-(x - 1)*(x + 5)**2/9
Suppose 208*m + 19*m + 4*m**2 - 370*m - 481*m = 0. Calculate m.
0, 156
Let t(u) be the third derivative of 0 - 1/105*u**6 - 2/105*u**5 + 0*u**3 + 0*u**4 - 1/735*u**7 + 0*u - 89*u**2. Determine v so that t(v) = 0.
-2, 0
Let k be (-49)/(4 + -11) + -4. Factor 242*r + 9*r**k + 26*r**3 + 4*r**4 + 84*r**2 - 634*r + 13*r**3.
4*r*(r - 2)*(r + 7)**2
Suppose -8*d + 3*d - 65 = -5*p, -5 = -2*p - 5*d. Let s(n) = 3*n - 19. Let x be s(p). Suppose -13*k**4 - 20*k**3 - 25*k**2 - x*k + 8*k**4 + k = 0. What is k?
-2, -1, 0
Let j(p) be the second derivative of 1 + p + 5/12*p**5 + 5/6*p**2 - 25/18*p**3 - 5/36*p**4. Factor j(c).
5*(c - 1)*(c + 1)*(5*c - 1)/3
Let h(o) be the first derivative of -4*o**3/3 - 1154*o**2 + 3011. Factor h(l).
-4*l*(l + 577)
Let p(j) be the first derivative of 3*j**7/350 + j**6/20 + 3*j**5/100 + 15*j**2 + j + 1. Let w(z) be the second derivative of p(z). Factor w(u).
3*u**2*(u + 3)*(3*u + 1)/5
Let g = -14443 - -72444/5. Let x = g - 45. Determine d, given that -4/5 + 7/5*d**4 + 27/5*d**2 - 26/5*d**3 - x*d = 0.
-2/7, 1, 2
Let i(v) = v**4 + v + 1. Let y(l) = -5*l**4 - 8*l**3 + 21*l**2 + 4*l - 24. Let z be 1 + -2 + -11 + 7. Let j(t) = z*y(t) - 20*i(t). Determine a so that j(a) = 0.
-10, -1, 1, 2
Let r(c) be the first derivative of -275*c**4/4 - 95*c**3 - 5*c**2 - 3135. Factor r(m).
-5*m*(m + 1)*(55*m + 2)
Let p(w) be the second derivative of w**6/15 - 29*w**5/10 - w**4/2 + 89*w**3/3 - 58*w**2 + 3785*w. Find i such that p(i) = 0.
-2, 1, 29
Let k(x) be the third derivative of x**5/330 + 5*x**4/12 - 56*x**3/33 - 9*x**2 - 8*x + 15. Factor k(i).
2*(i - 1)*(i + 56)/11
What is c in 12/7*c + 0 + 16/7*c**2 - 16/7*c**5 - 64/7*c**4 - 44/7*c**3 = 0?
-3, -1, -1/2, 0, 1/2
Let s(d) be the first derivative of -13*d**4/10 + 28*d**3/15 - d**2/5 - 2313. Factor s(t).
-2*t*(t - 1)*(13*t - 1)/5
Let g be (-2)/(252/639) - -5 - (-2988)/280. Determine z so that g*z**4 + 7*z**5 - 5*z**3 - 61/5*z**2 + 8/5 - 2*z = 0.
-1, -4/5, 2/7, 1
Let n(q) = 2*q**3 + 278*q**2 + 1047*q - 4401. Let y be n(-135). Factor -47/2*m**2 + y*m - 26 + 3/2*m**3.
(m - 13)*(m - 2)*(3*m - 2)/2
Let v(c) = 4*c**3 + 16*c**2 + 2*c - 5. Suppose 8*m = 6*m - 10. Let r(g) = -g**2 - g + 1. Let w(q) = m*r(q) - v(q). Let w(i) = 0. Calculate i.
-3, 0, 1/4
Let r(j) = -j**2 - 2*j. Let u(v) = -v**3 + v**2 + 8*v + 4. Let k(i) = -6*r(i) - 3*u(i). Factor k(x).
3*(x - 2)*(x + 1)*(x + 2)
Let k(c) be the third derivative of c**6/28 - 47*c**5/105 + 5*c**4/21 + 8*c**3/7 - 2232*c**2. Determine q so that k(q) = 0.
-2/5, 2/3, 6
Let l = 11351 + -11349. Let q(f) be the first derivative of -2/3*f**3 - 20 - 6*f**l - 16*f. Solve q(z) = 0 for z.
-4, -2
Factor 4/7*g**3 + 368 - 2916/7*g + 48*g**2.
4*(g - 7)*(g - 1)*(g + 92)/7
Let p be (-18)/(-15) + 18/(-15). Let l(g) be the second derivative of p - 1/12*g**3 - 8*g + 0*g**4 + 1/40*g**5 + 0*g**2. Find f, given that l(f) = 0.
-1, 0, 1
Let s = 2849 - 199429/70. Let u(o) be the second derivative of -34*o + 0 + 0*o**3 + s*o**7 + 0*o**2 + 9/100*o**5 + 3/50*o**6 + 1/20*o**4. Factor u(m).
3*m**2*(m + 1)**3/5
Let t = -420 - -444. Let z be -2 - (225/250)/((-1)/t). Solve -56/5*l**2 + z*l**3 + 0 + 8/5*l = 0.
0, 2/7
Suppose 8*w - 17 - 7 = 0. Let q be (6128/(-24))/(w/((-18)/4)). Determine r, given that -383 + q - 10*r**2 + 4*r = 0.
0, 2/5
Let t(n) = -12*n + 45. Let w be t(3). Find i, given that 8*i - 7*i + 9*i**2 - 3*i**4 - i**2 - w*i + i**4 + 2*i**3 = 0.
-2, 0, 1, 2
Factor 332/7*s + 2/7*s**2 - 1710/7.
2*(s - 5)*(s + 171)/7
Let a be (-545 - -521)*(-3)/18. What is k in 1/6*k - 1/6*k**3 - 1/3 - 1/6*k**a + 1/2*k**2 = 0?
-2, -1, 1
Let q = 114 + -114. Suppose q = 58*d + 17*d - 150. Factor -2/3*s**d - 200/3 - 40/3*s.
-2*(s + 10)**2/3
Let m(j) be the third derivative of 0*j + 0*j**3 + 0*j**4 + 1/105*j**7 + 2*j**2 + 1/168*j**8 - 1/30*j**5 - 1/60*j**6 + 20. Factor m(l).
2*l**2*(l - 1)*(l + 1)**2
Suppose 0 = -18*j - 15*j + 63 + 3. Let y(h) be the second derivative of 0 - 7*h - 1/4*h**j + 1/48*h**4 - 1/24*h**3. Factor y(d).
(d - 2)*(d + 1)/4
Let d be (-1 - (-40)/25) + -2 - (-3965)/975. Factor -d*s**4 - 8*s**3 - 1/3*s**5 - 32/3*s**2 - 16/3*s + 0.
-s*(s + 2)**4/3
Let v be (-2 - 3)/(((-4)/(84/9))/1). Find t, given that -145/3*t**3 + 5/3*t**2 - v*t**4 + 50/3*t**5 - 10/3 + 55/3*t = 0.
-1, 1/5, 1/2, 2
Find t, given that -13/2*t**3 - t**4 + 5/2 - 15/2*t**2 + 1/2*t = 0.
-5, -1, 1/2
Let m be 2/(10/(-5) - -3). Determine h so that -4*h - 43*h**m - 38*h**2 + 77*h**2 = 0.
-1, 0
Let z(g) be the first derivative of 4*g - 2/39*g**3 - 11/13*g**2 + 98. Suppose z(r) = 0. Calculate r.
-13, 2
Let g(f) be the third derivative of f**6/240 - 139*f**5/60 + 277*f**4/48 + 2*f**2 + 187*f. Factor g(c).
c*(c - 277)*(c - 1)/2
Let s(c) be the first derivative of -3*c**5/5 + 51*c**4/4 - 102*c**3 + 378*c**2 - 648*c - 1958. Solve s(d) = 0 for d.
2, 3, 6
Let f be (-10)/(-15) + (-39)/9 - -20*39/65. Determine q so that 4*q**3 + 20*q + 1/3*q**4 + f + 46/3*q**2 = 0.
-5, -1
Factor -349 + 349 - 68*l**2 - 24*l - 16*l**3 - 148*l**4 + 176*l**4.
4*l*(l - 2)*(l + 1)*(7*l + 3)
Let r(s) = 13*s**2 + 26*s - 38. Let d be r(9). Let t = 1265 - d. Factor -t*p - 96 - 2/3*p**2.
-2*(p + 12)**2/3
Let w(t) be the first derivative of -t**6/69 - 38*t**5/115 - 117*t**4/46 - 442*t**3/69 + 118*t**2/23 + 480*t/23 - 5571. Suppose w(p) = 0. What is p?
-8, -6, -5, -1, 1
Factor 4*i**3 - 4/3*i**4 + 68/3*i + 20*i**2 + 8.
-4*(i - 6)*(i + 1)**3/3
Suppose 12*i - 29018 = -1250. Factor -2317*k + 18*k**2 + i*k - 6*k**2 + 3*k**3 - 12.
3*(k - 1)*(k + 1)*(k + 4)
Let m(n) be the second derivative of -63/80*n**5 - n**3 + 1/56*n**7 + 1/8*n**6 - 49*n + 1 + 23/16*n**4 + 0*n**2. Determine p, given that m(p) = 0.
-8, 0, 1
Let q = -3415 + 3417. Let p = -58 + 98. Find w, given that p + 3*w + 41*w - 3422*w**q + 3426*w**2 = 0.
-10, -1
Suppose 5*h - 6*a - 168 = -2*a, 4*h = 3*a + 135. Let s = -34 + h. Factor -12*f + 4*f**4 + 0*f**2 + 5*f**2 + 12*f**3 - 8 - f**s.
4*(f - 1)*(f + 1)**2*(f + 2)
Let l = 40014 + -200068/5. Factor 3/5*m**4 + l*m + 0 - 1/5*m**2 - 4/5*m**3.
m*(m - 1)**2*(3*m + 2)/5
Solve -76 - 25*b**3 + 383/3*b - 27*b**2 + 1/3*b**4 = 0.
-3, 1, 76
Let w(t) be the third derivative of -t**6/120 - 61*t**5/30 - 589*t**4/24 - 78*t**3 + 30*t**2 - 4*t - 28. Factor w(g).
-(g + 1)*(g + 4)*(g + 117)
Find x, given that 1/4*x**2 - 19/4*x + 35/2 = 0.
5, 14
Let c = 158 - 108. Suppose 0 = 3*k - 59 + c. Let -5*t**4 + 14*t**3 - 39*t**2 - k*t**4 - 31*t**2 + 74*t**2 = 0. What is t?
-1/4, 0, 2
Let k be ((-4)/18 - 1500/(-594))*(-3783)/(-2522). Let 0 + 38/11*w**2 + 14/11*w**5 + 12/11*w - k*w**4 - 26/11*w**3 = 0. Calculate w.
-1, -2/7, 0, 1, 3
Let a be 20445/21 - (-128)/16. Let f = 983 - a. Factor 2/7*i**2 + 0 + f*i.
2*i*(i + 5)/7
Let j be 84/36 + 40*(-7)/(-168). Factor -21/5*n**j - 12/5*n**2 + 0 + 0*n + 33/5*n**3.
-3*n**2*(n - 1)*(7*n - 4)/5
Let p(d) = 19*d + 175. Let u be p(-9). Factor -51*i - 2*i**2 - 3*i**2 + 65*i**3 - 15*i**4 + 20*i**u - 14*i.
5*i*(i - 1)*(i + 1)*(i + 13)
Let m be (-3 - (-40)/15)/((-2)/72). Factor 123*u + 78*u + 21*u**2 + 3*u**3 + m*u**2 - 237*u.
3*u*(u - 1)*(u + 12)
Suppose 21*b - 7 = 35. Let w be 3 - -1 - (4 - 8). Solve -4*n**2 - 4*n**2 - 4*n**3 + w*n**b + 8*n**2 = 0.
0, 2
Let x(z) = 35*z**3 - 108*z**2 - 107*z + 62. Let n(u) = -12*u**3 + 36*u**2 + 36*u - 20. Let a(q) = -13*n(q) - 4*x(q). Solve a(o) = 0 for o.
-1, 1/4, 3
Find a, given that 0 + 9/2*a - 1/8*a**5 + 13/8*a**3 - 3/8*a**4 + 51/8*a**2 = 0.
-3, -1, 0, 4
Suppose 0 = -18*l + 16*l, z + 5*l - 1199 = 0. Let f = z - 5991/5. Find y, given that -8/5 + 4/5*y**2 - f*y = 0.
-1, 2
Let k(o) be the second derivative of 1/32*o**4 - 16 + 4*o + 39/16*o**3 - 15/2*o**2. Factor k(v).
3*(v - 1)*(v + 40)/8
Let s = -184 + -4898. Let v = -2694 - s. Let -3*x**3 + 2387*x**2 + 4*x**3 - v*x**2 = 0. What is x?
0, 1
Let v(u) be the first derivative of -3*u**5/5 - 219*u**4/4 - 1366*u**3 - 1728*u**2 + 7776*u + 779. Factor v(w).
-3*(w - 1)*(w + 2)*(w + 36)**2
Let g(u) = -2*u**3 - 2*u**2 + 15*u + 33. Let l be g(-3). Let c be (-270)/(-75)*30/l. Factor -1/2*j**2 + 4*j + c.
-(j - 9)*(j + 1)/2
Suppose 3*t - 306 = 9. Suppose -t*g - 46 = -128*g. Factor -24/7*k**g + 3*k - 6/7 + 9/7*k**3.
3*(k - 1)**2*(3*k - 2)/7
Let b(z) be the third derivative of -z**6/72 + z**5/6 + 5*z**4/2 + 46*z**3/3 - z**2. Let n(o) be the first derivative of b(o). Fac