 y be 31/15 + (-35)/((-700)/(-40)). Let l(m) be the second derivative of -1/15*m**3 + 0*m**2 - 4/75*m**6 + 0 + 14*m - y*m**4 + 7/50*m**5. Solve l(c) = 0.
-1/4, 0, 1
Factor 342*z + 995 + 2823 - 5*z**3 + 195*z**2 + 518 - 2637*z + 2889.
-5*(z - 17)**2*(z - 5)
Let c = -1741 + 1753. Suppose -3*r + 7 = 2*i, 4*r - 27 = 3*i - c. Find m, given that -4/11*m**4 + 16/11*m**2 + 4/11*m**r + 4/11 - 2/11*m**5 + 14/11*m = 0.
-1, 2
Let t(h) = -3*h**4 + 12*h**3 - 3*h**2 + 4*h - 2. Let u(p) = -2 + 3 + p**3 + 2*p + 3 - 5. Let v(c) = t(c) - 2*u(c). Factor v(g).
-g**2*(g - 3)*(3*g - 1)
Suppose 3*r + 6 = 0, 5*r = 2*w + 24 - 38. Suppose -w*n + 5 = -q - 8, 5*q = 2*n - 33. Determine h so that 1/9*h**n + 2*h**2 + 7/9*h**3 + 20/9*h + 8/9 = 0.
-2, -1
Let j be (3 - 4)/1 + (3 - -1). Suppose -5 = -2*l - j*p + 4*p, -7 = -l - p. What is o in -16*o**l - 339*o**3 + 367*o**3 - 16*o**5 - 3*o**2 - 5*o**2 = 0?
-2, 0, 1/2
Let b(f) = -2*f**2 + 19*f - 21. Let x be b(8). Suppose -48 - 11 = -2*u + 3*m, -4*u + 113 = -5*m. Determine h so that x*h**3 + 26 - 15*h**2 - 48 + u = 0.
0, 5
Let z(r) be the first derivative of 15*r**4/4 + 1285*r**3/3 + 1670*r**2 + 1660*r - 153. Solve z(a) = 0.
-83, -2, -2/3
Let u(o) be the second derivative of -5*o**5/8 + 215*o**4/24 + 1210*o**3/3 + 475*o**2 - 5*o - 18. Solve u(b) = 0.
-10, -2/5, 19
Let o(w) be the third derivative of w**7/5880 + 37*w**6/1680 - 13*w**4/24 + 40*w**2. Let j(m) be the second derivative of o(m). Factor j(r).
3*r*(r + 37)/7
Factor -2/7*b**4 + 18176/21*b**2 + 2/21*b**5 + 237568/21 - 36864/7*b - 1088/21*b**3.
2*(b - 8)**4*(b + 29)/21
Suppose -321 = -75*g - 96. Let i(t) be the first derivative of 5/12*t**6 + 9/2*t**5 + 0*t**g + 0*t**2 + 3 + 5*t**4 + 0*t. Factor i(k).
5*k**3*(k + 1)*(k + 8)/2
Let a(h) be the first derivative of 10*h**6/3 - 47*h**5 + 245*h**4 - 1660*h**3/3 + 400*h**2 + 320*h - 676. Determine w so that a(w) = 0.
-1/4, 2, 4
Let z = 98 + -96. Let p(s) = -s**2 + 23*s - 86. Let x be p(5). Let 0*m + 0*m**z + 1/4*m**x + 0 + 1/2*m**3 = 0. Calculate m.
-2, 0
Let v be 1/4 + (-270)/(-72). Factor -4*p**2 + v - 47*p + 39*p - 4.
-4*p*(p + 2)
Factor -2/19*w + 2/19*w**3 + 4/19 - 4/19*w**2.
2*(w - 2)*(w - 1)*(w + 1)/19
Let r(v) = -v**2 + 1144*v + 31620. Let d be r(-27). Factor -40/3*f + 2/3*f**d + 4/3*f**2 + 16.
2*(f - 2)**2*(f + 6)/3
Let n(a) be the first derivative of a**4/114 - 8*a**3/57 + 7*a**2/19 + 13*a + 8. Let h(s) be the first derivative of n(s). Factor h(y).
2*(y - 7)*(y - 1)/19
Suppose -653 - 3109 = -6*k. Let k*q + 219*q**3 + 3645 + 135*q**2 - 224*q**3 - 1842*q = 0. Calculate q.
9
Let p(j) = 330*j + 34. Let a be p(1). Determine c so that 47*c**2 + 50*c**2 + 73*c**3 - 26 - 359*c**4 + 11*c + 8*c**2 + a*c**4 = 0.
-13, -1, 2/5
Suppose -7*j - 520 = -1024. Suppose r - j = -23*r. Factor 0*w**2 - 4/3*w**r + 0*w + 14/3*w**4 + 0.
2*w**3*(7*w - 2)/3
Let p(n) be the second derivative of -5/12*n**4 + 1/20*n**5 + 0*n**3 + 0*n**2 + 2 + 2*n. Determine c, given that p(c) = 0.
0, 5
Determine c, given that -1/2*c**3 + 68 + 101*c + 65/2*c**2 = 0.
-2, -1, 68
Let u(z) be the first derivative of 0*z + 7/18*z**2 + 1/27*z**3 + 20. Factor u(o).
o*(o + 7)/9
Suppose 0*x - 4*w = 4*x - 324, -4*w = -2*x + 180. Suppose x = 24*c + 36. Factor 27/7 + 27/7*a - 3/7*a**c - 3/7*a**3.
-3*(a - 3)*(a + 1)*(a + 3)/7
Let s = 70 + -67. Suppose -7 = -2*p + 9. Solve 0*q**3 - 4*q**s - 3*q**3 - 1 + 4*q**5 + p*q - 5*q + q**2 = 0.
-1, 1/2, 1
Let x be 4/(-30) + ((-192)/45)/(-2). Factor 14*f**x - 9 - 5*f**2 - 104*f + 3*f**3 + 101*f.
3*(f - 1)*(f + 1)*(f + 3)
Let t(v) be the first derivative of -3*v**4/20 - 9*v**3/5 + 603*v**2/10 + 627*v/5 - 2787. Factor t(d).
-3*(d - 11)*(d + 1)*(d + 19)/5
Let w(g) be the first derivative of g**7/1400 - 13*g**6/300 + 23*g**5/200 + 5*g**4/4 + 149*g**3/3 - 53. Let r(m) be the third derivative of w(m). Factor r(i).
3*(i - 25)*(i - 2)*(i + 1)/5
Suppose 2601/5*z**2 + 0 + 1/5*z**4 + 102/5*z**3 + 0*z = 0. What is z?
-51, 0
Let w(l) be the third derivative of l**5/60 - l**4/6 + 3*l**3/2 + 12*l**2. Let k be w(3). Factor 5*f - 8*f - 2*f**2 - f - k*f.
-2*f*(f + 5)
Let o be (-8)/6*9/(-12). Suppose 5 = -q, -2*y - q = o + 4. Solve 8/3*m**2 + y - 2*m - 2/3*m**3 = 0.
0, 1, 3
Suppose 0 = x + n + 1, 0*x + 2*n = -3*x - 3. Let z be (x + -2)/(23 + -25). Find k such that 3/4 + 3*k**2 + 1/4*k**4 - 5/2*k - z*k**3 = 0.
1, 3
Let d(r) be the first derivative of 2*r**3/3 + r**2/2 + r + 12. Let m(b) = 12*b**2 - 12*b - 16. Let l(g) = 4*d(g) - m(g). Suppose l(j) = 0. What is j?
-1, 5
Let a = 62 + -42. Suppose -13*r + 45 = -a. Factor r*m**2 + 16*m - 20 - 12*m**2 + 6*m**2 + 5*m**2.
4*(m - 1)*(m + 5)
Factor -3 - 27*h + h**5 + 9 + 10 - 8*h**3 + 20*h**2 - 6*h**4 - 6 + 10*h**3.
(h - 5)*(h - 1)**3*(h + 2)
Let i be (110/(-1496))/((-12)/96). Factor 0*o + i*o**2 + 0 - 2/17*o**3.
-2*o**2*(o - 5)/17
Let k = 850885 - 850882. Factor 1/6*j**2 + 6 - 1/6*j**k + 4*j.
-(j - 6)*(j + 2)*(j + 3)/6
Let x be ((2/(-6))/1)/(34/(-153)). Solve 3/2*p**2 + 3/4*p - 3/4*p**3 - x = 0.
-1, 1, 2
Suppose -20 = -4*j + 4*a, -a + 12 = 5*j - 1. Let b be (-3661)/(-3138)*((-15)/(-4) - 3). Factor 5*o**2 - 9/4 - 51/8*o - b*o**j.
-(o - 3)**2*(7*o + 2)/8
Factor -32 + 2/7*s**2 + 48/7*s.
2*(s - 4)*(s + 28)/7
Let m be (38 + 4 + -14)*(-3)/(-4). Let h(o) be the third derivative of m*o**2 - 1/8*o**4 + 0*o + 0 + 0*o**3 - 1/20*o**5. Factor h(p).
-3*p*(p + 1)
Let x(z) be the first derivative of -3*z**8/560 + z**7/35 - z**6/30 - 83*z**3/3 - 7. Let f(j) be the third derivative of x(j). Factor f(d).
-3*d**2*(d - 2)*(3*d - 2)
Let b(j) = -j**2 - 51*j - 86. Let d(h) = -3*h**2 - 103*h - 173. Let u = 218 - 211. Let g(y) = u*b(y) - 4*d(y). Factor g(s).
5*(s + 2)*(s + 9)
Factor -864/5 + 456/5*t - 4/5*t**2 - 4/5*t**3.
-4*(t - 9)*(t - 2)*(t + 12)/5
Let m(l) be the third derivative of 0*l**5 + 42*l**2 + 0*l + 0*l**4 - 1/80*l**6 + 0 - 1/280*l**7 + 0*l**3. Solve m(h) = 0.
-2, 0
Let h = -7416 + 259561/35. Let y(m) be the second derivative of 19*m + h*m**5 + 1/21*m**4 - 2/21*m**3 - 2/7*m**2 + 0. Factor y(a).
4*(a - 1)*(a + 1)**2/7
Let c(s) be the first derivative of -s**6/36 - s**5/10 + s**4/72 + s**3/3 + s**2/3 - 91*s + 22. Let b(o) be the first derivative of c(o). Solve b(z) = 0 for z.
-2, -1, -2/5, 1
Let l(g) be the third derivative of g**7/630 - 7*g**6/180 + 2*g**5/5 - g**4/3 + 2*g**3/3 - 7*g**2 + g. Let s(a) be the second derivative of l(a). Factor s(r).
4*(r - 4)*(r - 3)
Let g(b) be the first derivative of 1/42*b**6 + 0*b**2 - 2/35*b**5 + 0*b**3 - 67 + 0*b + 0*b**4. Determine n, given that g(n) = 0.
0, 2
Let q be 0/2 + (-1044)/81 + 14. Let d(i) be the first derivative of 0*i + 5 - q*i**3 - 2/3*i**2 - 2/15*i**5 - 2/3*i**4. Factor d(h).
-2*h*(h + 1)**2*(h + 2)/3
What is f in 48/5*f**4 - 64/5*f + 6 - 42*f**2 - 68/5*f**3 = 0?
-1, -5/6, 1/4, 3
Let r(q) = q - 20. Let s be r(25). Suppose 45*n**s + 76*n**4 + 60*n + 40 - 55*n**3 - 584*n**2 + 374*n**2 + 44*n**4 = 0. What is n?
-2, -1/3, 2/3, 1
Determine r, given that -162 - 3/4*r**5 - 423/2*r**2 - 12*r**4 - 297*r - 291/4*r**3 = 0.
-6, -3, -2
Let t = -13964 + 13964. Let a(k) be the first derivative of -15 + 0*k**3 + 1/6*k**2 - 1/12*k**4 + t*k. Suppose a(d) = 0. Calculate d.
-1, 0, 1
Let l(c) = -5*c**3 - 1908*c**2 + 155452*c - 591576. Let j(t) = -3*t**3 - 954*t**2 + 77727*t - 295788. Let u(b) = 11*j(b) - 6*l(b). Factor u(k).
-3*(k - 157)**2*(k - 4)
Let s = -23 + -1. Let u be 2/(-7)*(s + -4). Factor 18 + 6*h + h**4 + 15 - 6*h**3 - 42 + u*h**2.
(h - 3)**2*(h - 1)*(h + 1)
Let c = 7686 - 3066. What is k in -c - 6*k**2 + 2*k**2 + 1256 + 232*k = 0?
29
Find o, given that -74*o + 10492*o**2 + 25*o**5 + 9347*o**2 - 390*o**4 - 18189*o**2 + 594*o + 715*o**3 = 0.
-1, -2/5, 0, 4, 13
What is a in -21*a**2 + 3*a**4 - 109*a - 6*a**4 + 24*a**2 + 66*a**2 + 6*a**3 - 71*a = 0?
-5, 0, 3, 4
Let x(m) be the third derivative of -m**6/30 + m**5 - 9*m**4/2 + 26*m**3/3 - 1537*m**2. Let x(u) = 0. What is u?
1, 13
Let k(r) = -r**3 - 8*r**2 + 6*r - 20. Let g be k(-9). Suppose 0 = 2*z - g - 3. Factor -4*s**2 + 50*s**3 - 12*s**4 + 4*s**z + 54*s**3 - 92*s**3.
4*s**2*(s - 1)**3
Let n(d) be the second derivative of 2*d**7/189 - 1112*d**6/135 + 855*d. Suppose n(a) = 0. What is a?
0, 556
Let g(x) be the second derivative of -x**6/20 - 21*x**5/5 - 221*x**4/2 - 676*x**3 + 1106*x - 1. Factor g(j).
-3*j*(j + 4)*(j + 26)**2/2
Let d = 399/18292