be the first derivative of 3*f**2 - 7 - 8*f - 1/3*f**b. Suppose p(a) = 0. Calculate a.
2, 4
Let t = 329 - 1643/5. Let n be 7 + 9/((-18)/14). Solve 0 + 6/5*q**3 + n*q**2 - 8/5*q + t*q**4 = 0.
-2, 0, 1
Let v be 70/(-630) + (-1783)/(-9). Let y be 130/v - (-65)/(-585). What is u in 2/11*u + y - 2/11*u**3 - 6/11*u**2 = 0?
-3, -1, 1
Let j(x) be the third derivative of 0 - 2*x**2 - 35*x + 1/36*x**6 - 5/18*x**3 + 0*x**4 + 1/9*x**5 - 5/504*x**8 - 1/42*x**7. Find t such that j(t) = 0.
-1, 1/2, 1
Let r(a) be the first derivative of 231*a**5/5 - 117*a**4 + 4*a**3 - 11853. Find i such that r(i) = 0.
0, 2/77, 2
Let w be (-14)/21*3 - 3601/(-1108). What is k in 0 - 3*k**2 + 2*k - 9/2*k**3 - w*k**4 = 0?
-2, 0, 2/5
Factor 0 - 544/3*v**2 + 2*v.
-2*v*(272*v - 3)/3
Factor -49/4 - 1/4*y**3 + 97/4*y - 47/4*y**2.
-(y - 1)**2*(y + 49)/4
Suppose 5*m - 5 = -5*b, 3*b - 8 + 5 = 2*m. Let j be (-1 + (m - -4))*20/165. Find u, given that 14/11*u + j - 18/11*u**2 = 0.
-2/9, 1
Let k be (-26)/(-20) - (9 - (-153)/(-18)). Let h(g) be the first derivative of -k*g - 2/5*g**3 - g**2 - 16. Factor h(c).
-2*(c + 1)*(3*c + 2)/5
Let i(y) be the first derivative of y**6/3 - 38*y**5/5 - 82*y**4 - 896*y**3/3 - 512*y**2 - 416*y - 7949. Solve i(g) = 0 for g.
-2, -1, 26
Solve 74*f**3 - 39*f**4 + 65*f**2 - 9*f**4 + 16*f**4 - 33*f**2 - 2*f**5 - 72*f = 0.
-18, -1, 0, 1, 2
Let a(n) be the first derivative of 17/15*n**3 - 71/20*n**2 + 18/5*n - 165 + 1/40*n**4. Factor a(d).
(d - 1)**2*(d + 36)/10
Let b = 2/3209 - 10103/763742. Let n = 485/714 + b. Factor 0 + 8/3*l**3 + 0*l - 2*l**2 - n*l**4.
-2*l**2*(l - 3)*(l - 1)/3
Let x be ((-2)/(-4))/((-1)/(-114)*3). Let -36*u + 82*u + 65*u**2 - x*u - 60 - 32*u = 0. What is u?
-12/13, 1
Let o(n) be the third derivative of -1/8*n**6 + 0*n**3 + 0*n + 5/6*n**4 + 0 + 5/336*n**8 - 1/21*n**7 + 1/3*n**5 + 108*n**2. Solve o(q) = 0.
-1, 0, 2
Solve 3*o**2 - 346*o - 6*o**2 + 285*o + 7785 - 7861 = 0 for o.
-19, -4/3
What is d in -1/5*d**2 + 239/5 - 238/5*d = 0?
-239, 1
Let h(b) be the second derivative of -b**6/24 + 49*b**5/30 + 145*b**4/24 + 7*b**3 - 241*b**2/2 - 66*b. Let z(w) be the first derivative of h(w). Solve z(j) = 0.
-1, -2/5, 21
Let d be 84/36*(-600)/(-350). Let k(c) be the second derivative of 0 + 1/15*c**6 + 0*c**2 + 1/30*c**5 + 0*c**4 - 1/36*c**7 - d*c + 0*c**3. Factor k(w).
-w**3*(w - 2)*(7*w + 2)/6
Let r(g) be the third derivative of -5/4*g**4 + 0*g - 1/60*g**5 + 91 - 75/2*g**3 + 2*g**2. Suppose r(o) = 0. Calculate o.
-15
Let b = -1/560 + 7843/1680. Determine c, given that 0*c**3 + 2/3*c**4 - 4*c - b*c**2 + 0 = 0.
-2, -1, 0, 3
Let g(r) = 12*r**2 + 916*r - 2920. Let j(o) = -38*o**2 - 2737*o + 8761. Let c(k) = 13*g(k) + 4*j(k). Factor c(f).
4*(f - 3)*(f + 243)
Suppose -h - k = -30, -3*h = 4402*k - 4401*k - 60. Factor -1/3*t**3 + h*t + 23/3 + 7*t**2.
-(t - 23)*(t + 1)**2/3
Let q(b) be the first derivative of -b**7/42 + b**5/4 - 5*b**4/12 - 17*b**2 + 43. Let s(j) be the second derivative of q(j). Factor s(v).
-5*v*(v - 1)**2*(v + 2)
Suppose 0 = 11*d - 80 - 30. Let t = d - -16. Factor 180 - t*o**2 - 180*o - 29*o**2 + 60*o - o**3 - 4*o**3.
-5*(o - 1)*(o + 6)**2
Let l(s) be the first derivative of s - 1 + 1/6*s**2 - 1/3*s**3 - 1/12*s**4. Factor l(y).
-(y - 1)*(y + 1)*(y + 3)/3
Let u(k) = 3*k**3 - 343*k**2 - 563*k - 294. Let x(g) = -g**3 + 116*g**2 + 187*g + 98. Let r(l) = 4*u(l) + 11*x(l). What is n in r(n) = 0?
-1, 98
Let a(w) be the third derivative of w**5/120 - 11*w**4/24 + 7*w**3/4 + 414*w**2 + 1. What is f in a(f) = 0?
1, 21
Suppose -k = -h - 522, 56*k + 5*h - 540 = 55*k. Let l = k + -523. Let -1/2*s**4 + 5/2*s**3 - 4*s**l + 0 + 2*s = 0. Calculate s.
0, 1, 2
Let f be 4/10 + 53/5. Let m(c) = c**3 - 4*c**2 + 8*c - 8. Let p be m(3). Determine a so that 0*a**3 - 3*a**4 - 36*a - 12 - p*a**3 - f*a**3 - 39*a**2 = 0.
-2, -1
Let -39 + 105*f - 45*f**3 + 306 - 171*f**2 + 489 - 3*f**4 + 126 = 0. What is f?
-7, -3, 2
Let g(d) = d + 22. Let x be g(-12). Find o, given that o**5 - x*o**4 - o**3 + 10*o**4 = 0.
-1, 0, 1
Let v(a) be the third derivative of -25*a**8/112 + 2*a**7 - 33*a**6/20 - 86*a**5/5 - 125*a**4/8 - 6*a**3 - 2*a**2 - 339*a. Solve v(i) = 0 for i.
-1, -1/5, 3, 4
Suppose 256 = 946*x - 18820 - 145528. Factor 24*b + 0 + 336*b**3 + 147/2*b**4 + x*b**2.
3*b*(b + 4)*(7*b + 2)**2/2
Let p(c) be the third derivative of 0*c**3 - 1/2352*c**8 - 1/210*c**5 + 1/735*c**7 + 0*c - 9*c**2 + 0*c**6 + 1/168*c**4 + 0. What is l in p(l) = 0?
-1, 0, 1
Let z = 126726 - 126723. Factor -m**4 + 0 + 0*m - 7/2*m**z + 2*m**2.
-m**2*(m + 4)*(2*m - 1)/2
Let r(w) be the first derivative of w**4 - 50*w**3/3 - 14*w**2 + 26*w + 1446. Factor r(i).
2*(i - 13)*(i + 1)*(2*i - 1)
Suppose 5*l - 35 = o, -6*l - 3*o = -5*l + 9. Suppose 7*p = -5*p - l*p. Factor -9/4*n + p + 3/4*n**2.
3*n*(n - 3)/4
Let d be ((-138)/88 - -3) + (-12)/66. Suppose -3*z + x + 7 = 2*z, z - 5*x + 13 = 0. Factor 5/2 + d*p**z - 15/4*p.
5*(p - 2)*(p - 1)/4
Let c(j) = -81*j - 10907. Let b be c(-135). Let s(v) be the second derivative of -b*v**2 - 6*v**3 - 1/3*v**4 + 12*v + 0. Factor s(t).
-4*(t + 2)*(t + 7)
Let w(k) be the first derivative of -k**7/140 - k**6/20 - k**5/40 + 3*k**4/8 + 50*k**2 + 49. Let l(g) be the second derivative of w(g). What is v in l(v) = 0?
-3, -2, 0, 1
Let z(k) be the second derivative of k**4/18 + 112*k**3/9 + 309*k**2 - 8*k - 128. Let z(f) = 0. What is f?
-103, -9
Let r be (54/45)/(4/(-50)). Let w be 16/(-24) + (-22)/r. Factor w*h + 0 - 14/5*h**3 - 2*h**2.
-2*h*(h + 1)*(7*h - 2)/5
Solve 856*q - 274776 - 2/3*q**2 = 0 for q.
642
Let x(r) be the third derivative of -2*r**5/45 - 1937*r**4/36 - 484*r**3/9 + r**2 + 13. Find l such that x(l) = 0.
-484, -1/4
Let c(z) = 6*z**3 - 2*z**2 + 3*z - 2. Let m be c(1). Factor -m*a**4 - 20*a + 1 + 8*a**2 - 4*a**4 - 5*a**5 - 2*a**3 + a**5 + 26*a.
-(a - 1)*(a + 1)**3*(4*a + 1)
Let x = 101 + -98. Factor 5*q**4 + x*q**3 + 237*q**2 + 6*q**3 - 327*q**2 + 26*q**3.
5*q**2*(q - 2)*(q + 9)
Let q be (4674/776 - 2) + -7 + 3. Let v = 43411/1940 + q. Find o such that -32/5 + v*o + 8/5*o**3 + 62/5*o**2 = 0.
-4, 1/4
Suppose 175 = 18*p + 31. Factor -27 + 0*w + 2*w + 18 - p*w + 3*w**2 + 0*w.
3*(w - 3)*(w + 1)
Suppose 56*z - 60*z - 152 = 0. Let p be z/5 + (-84 - -94). Factor 12/5 - p*u + 3/5*u**2.
3*(u - 2)**2/5
Let g(j) = -3*j**2 + 5*j + 4. Let h be g(2). Suppose -8 - 16*y**2 - 10*y + 2*y**2 - 3*y**h + 2*y**2 + 13*y**2 = 0. What is y?
-4, -1
Let r(o) = 7*o**3 + 88*o**2 + 117*o - 42. Let g be r(-11). Factor -s - s**g - 2/7*s**3 - 2/7.
-(s + 1)*(s + 2)*(2*s + 1)/7
Suppose -3*t - 142 = 4*a - 156, 17*t + 3*a - 40 = 0. Determine h, given that -38/3*h**t - 64/3 - 100/3*h - 2/3*h**3 = 0.
-16, -2, -1
Factor -842/17*t - 1676/17 - 2/17*t**2.
-2*(t + 2)*(t + 419)/17
Let c = -268539 - -3491043/13. Factor 14/13*w**3 + 102/13*w - c + 80/13*w**2.
2*(w + 3)**2*(7*w - 2)/13
What is q in 0 + 960/7*q + 3/7*q**4 + 138*q**3 + 1923/7*q**2 = 0?
-320, -1, 0
Suppose -4*m - 20 = -2*h, 1184*h - 1183*h + 4*m = -14. Let v(a) be the third derivative of 0 - 1/120*a**5 + 0*a**4 + 0*a**3 + 3*a**h + 0*a. Factor v(d).
-d**2/2
Let l(f) be the second derivative of -1521*f**6/25 + 1287*f**5/25 - 69*f**4/10 - 44*f**3/15 - 4*f**2/15 - 2360*f. Find b such that l(b) = 0.
-2/39, 1/3
Let h be (28/(-21))/(840/(-450))*(0 - -4). Factor h*a + 12/7 + 3/7*a**2.
(a + 6)*(3*a + 2)/7
Suppose 92 - 12 = 4*a. Suppose -7*u = -a + 6. Solve 4*p**u - 2*p**2 - p**3 + 445 - 445 = 0.
0, 2
Suppose -19/11*d**2 + 12/11 - 1/11*d**5 - 3/11*d**3 + 7/11*d**4 + 4/11*d = 0. Calculate d.
-1, 1, 2, 6
Let y = -5 - 48. Let v = y - -55. Factor 9*t - 10*t**2 - 8*t**v - 8*t + 4 + 13*t.
-2*(t - 1)*(9*t + 2)
Let c = 59 - 466. Let y = 413 + c. Factor -10/11*x**4 + 56/11*x**3 - y*x**2 + 0 - 36/11*x.
-2*x*(x - 3)**2*(5*x + 2)/11
Let 8433/7*i**2 - 1569/7*i**3 + 3*i**4 - 3726/7 - 10503/7*i = 0. What is i?
-2/7, 3, 69
Find l, given that -17/5*l + 0 - 69/5*l**2 - 4/5*l**4 - 72/5*l**3 = 0.
-17, -1/2, 0
Let w(n) be the first derivative of -n**5/5 - n**4/4 + 5*n**3 - 23*n**2/2 + 10*n + 601. Factor w(m).
-(m - 2)*(m - 1)**2*(m + 5)
Factor -22*c**3 + 699*c - 16*c**4 + 14*c**4 + 243*c**2 + 43*c**2 + 439 - 69*c - 115.
-2*(c - 9)*(c + 1)**2*(c + 18)
Let x be (-2280)/(-9072) + (-12)/56. Let z(u) be the second derivative of 0*u**2 - x*u**3 - 9*u + 0 - 2/27*u**4. Suppose z(n) = 0. Calcula