of d**6/960 - 23*d**5/48 + 19*d**4/8 - 57*d**2 + 2*d + 21. Find q such that t(q) = 0.
0, 2, 228
Factor -40 - 5578*j**2 - 1461*j**2 + 7900*j + 1272*j**3 + 4613*j**3 - 980*j**4 - 3218*j**2 - 1533*j**2.
-5*(j - 2)**3*(196*j - 1)
Let o(c) be the first derivative of c**6/180 - 13*c**5/150 - 2*c**4/5 - 266*c**3/3 + 178. Let l(q) be the third derivative of o(q). What is p in l(p) = 0?
-4/5, 6
Factor 94/19*j**2 + 2/19*j**3 - 96/19*j + 0.
2*j*(j - 1)*(j + 48)/19
Let d(m) = 4*m**3 + 2*m**2 + 2. Let i(x) = -21*x**3 - 10*x**2 - 11. Let z be ((-2)/6 - 2) + 11/33. Let k(y) = z*i(y) - 11*d(y). Suppose k(n) = 0. What is n?
-1, 0
Suppose 2*q + 6 - 14 = 0. Let v = -225 - -879. Solve 654 - v - 2*s**2 + q*s - 2*s**3 = 0 for s.
-2, 0, 1
Let n(a) = 17*a - 35. Let d be n(-5). Let i = -116 - d. Factor -9*x**2 - 9*x**2 + 24 + 12*x - 3*x**3 + 103*x**i - 100*x**4.
3*(x - 2)**2*(x + 1)*(x + 2)
Let p(i) = -i - 1. Let g be p(-3). Determine o, given that -o**4 - 173*o**2 + 181*o**2 - 3*o**4 + g*o**4 + 4*o - 6 - 4*o**3 = 0.
-3, -1, 1
Suppose 5*p - 16 - 9 = -5*t, -t - 2*p + 6 = 0. Suppose t*s = -202 + 214. Solve 3/4*q**s + 3/4*q**2 + 0 + 1/4*q**4 + 1/4*q = 0 for q.
-1, 0
Factor -1057*x - 810*x**3 + 25*x - 4*x**5 - 147*x**4 + 2*x**5 + x**5 - 1572*x**2 - 2*x**5.
-3*x*(x + 2)**3*(x + 43)
Let x(d) be the second derivative of -d**5/10 + 13*d**4/6 - 10*d**3/3 - 24*d**2 - 37*d + 1. Factor x(b).
-2*(b - 12)*(b - 2)*(b + 1)
Let s(x) be the second derivative of -x**5/100 + 1031*x**4/60 - 1988*x. Find q, given that s(q) = 0.
0, 1031
Factor 0 + 2/11*f**2 + 1002/11*f.
2*f*(f + 501)/11
Let w(h) be the third derivative of 1/28*h**4 + 0*h - 88*h**2 + 1/210*h**5 - 10/21*h**3 + 0. Find b, given that w(b) = 0.
-5, 2
Factor 1/3*f**5 + 0*f**2 + 17*f**4 + 0 - 52/3*f**3 + 0*f.
f**3*(f - 1)*(f + 52)/3
Let c = -313/6 - -167/3. Determine d so that -c*d**2 - 2/3 - 8/3*d - 3/2*d**3 = 0.
-1, -2/3
Let g = -128433 + 385303/3. Factor -4/3*c + 0*c**2 + 2/3*c**4 + g*c**3 - 2/3.
2*(c - 1)*(c + 1)**3/3
Let q(l) = -2*l + 38. Let d be q(16). Let b = -4 + d. Suppose 4*a**b + 2275*a**4 - a**3 + 0*a**5 - 2279*a**4 + a**5 = 0. Calculate a.
-1, 0, 1, 4
Let w(c) = c**3 - 8*c**2 + 12*c + 2. Suppose 0*j = -j + 6. Let q be w(j). Factor 20*i**4 - 35*i**4 + 21*i**4 + q*i**5 - 8*i**3.
2*i**3*(i - 1)*(i + 4)
Let r(f) be the first derivative of -f**3 + 0*f - 1/90*f**5 + f**2 + 1 + 1/6*f**4. Let b(y) be the second derivative of r(y). Factor b(x).
-2*(x - 3)**2/3
Factor 0*g**3 + 4*g**3 - 92*g**2 + 444*g + 1678069 - 1677529.
4*(g - 15)*(g - 9)*(g + 1)
Factor 196 + 86 - 22 + 62*n + 2*n**2.
2*(n + 5)*(n + 26)
Let t(m) be the first derivative of m**5/25 - 161*m**4/20 - 163*m**3/15 + 161*m**2/10 + 162*m/5 - 9238. Factor t(q).
(q - 162)*(q - 1)*(q + 1)**2/5
Let c = -59 + 61. Factor -71*u**3 + 2*u**5 - c*u**4 + 129*u**3 - 70*u**3.
2*u**3*(u - 3)*(u + 2)
Let g(h) = 69*h**4 + 447*h**3 + 444*h**2 - 6. Let r(k) = 58*k**4 + 446*k**3 + 443*k**2 - 5. Let w(p) = 5*g(p) - 6*r(p). What is v in w(v) = 0?
-146, -1, 0
Suppose 8*o = 12*o. Suppose v - 12 = -5*w, 3*w + o*v = v + 12. Suppose 0 + 5 - w*b**2 - 2 = 0. Calculate b.
-1, 1
Suppose 0 = -5*v + 30, -8*q + 13*v = -11*q - 8*v + 132. What is g in 242/3 + 2/3*g**q + 44/3*g = 0?
-11
Let d(i) = -i**4 - 13*i**2 + 2*i + 1. Let s(b) = 10*b**4 - 2045*b**3 + 210185*b**2 - 208090*b - 5. Let f(u) = 5*d(u) + s(u). Factor f(m).
5*m*(m - 204)**2*(m - 1)
Let p(b) be the first derivative of 2*b**5/45 + 7*b**4/18 - 1508. Factor p(i).
2*i**3*(i + 7)/9
Let b(q) = q**2 + 13*q + 15. Let h be b(-12). Let x(a) be the first derivative of -h*a - a + 4*a**3 + 2*a + 2*a**2 + 6 - a**4 - 10*a. What is f in x(f) = 0?
-1, 1, 3
Let q(l) be the second derivative of l**7/1680 + 7*l**6/480 + 3*l**5/20 + 187*l**4/12 + 130*l - 1. Let s(m) be the third derivative of q(m). Factor s(b).
3*(b + 3)*(b + 4)/2
Let x be 24775/2250 + (-5 - 6). Let m(u) be the third derivative of 1/9*u**3 + 0*u + 1/180*u**6 + 15*u**2 - 1/36*u**4 + 0 - x*u**5. Let m(c) = 0. What is c?
-1, 1
Let q(f) be the first derivative of -f**4/10 - 64*f**3/15 - 1751. Factor q(j).
-2*j**2*(j + 32)/5
Let j(l) be the first derivative of -1/22*l**4 + 0*l**5 - 158 + 1/33*l**6 + 0*l**2 + 0*l**3 + 0*l. Factor j(u).
2*u**3*(u - 1)*(u + 1)/11
Let j be (-1188)/(-55) + (-2)/(-5). Let g = j + -20. Suppose -532 + 532 - g*a**2 + 2*a = 0. Calculate a.
0, 1
Let m(v) = 3372*v - 23559. Let d be m(7). Factor 450*j + 3/2*j**3 + d*j**2 + 1500.
3*(j + 10)**3/2
Let j be 1168/28032 + 3/(-72). Factor -8/7*b**2 + 0*b + 4/7*b**3 + j.
4*b**2*(b - 2)/7
Let m be -3 + ((-7920)/418 + 19 - (-355)/114). Find v, given that m*v**2 + 0 - 7/6*v = 0.
0, 7
Let s(h) be the second derivative of 1/6*h**2 - 1/4*h**4 + 0 + 0*h**3 + 108*h. Factor s(a).
-(3*a - 1)*(3*a + 1)/3
Let n(x) = x**3 - 32*x**2 - 3*x + 209. Let d be n(32). Factor -d*k + 3*k**2 - k**2 + 2*k**2 + 2500 + 0*k**2 - 87*k.
4*(k - 25)**2
Let a(w) be the first derivative of -12*w + 1/5*w**3 - 12/5*w**2 + 27. Factor a(r).
3*(r - 10)*(r + 2)/5
Let p(d) be the first derivative of -5*d**6/3 - 6*d**5/5 + 157*d**4/2 + 162*d**3 + 28*d**2 - 120*d + 5874. Suppose p(w) = 0. What is w?
-5, -1, 2/5, 6
Let b = 62527/3 - 20841. Factor 2/3*z + b - 2/3*z**2.
-2*(z - 2)*(z + 1)/3
Let z(d) = d**3 + 8*d**2 + 3*d - 28. Let w(l) = -14*l**3 - 122*l**2 - 47*l + 447. Let k(m) = 2*w(m) + 33*z(m). Factor k(i).
5*(i - 1)*(i + 2)*(i + 3)
Let l(a) be the first derivative of -a**6/18 - 16*a**5/5 - 87*a**4/2 + 1400*a**3/9 + 625*a**2/2 - 700. Let l(h) = 0. What is h?
-25, -1, 0, 3
Let t(j) be the first derivative of -16/11*j - 2/33*j**3 - 6/11*j**2 + 156. Factor t(x).
-2*(x + 2)*(x + 4)/11
Let z be 1*(-1)/(-2) - (1 + (-49)/98). Let r(u) be the third derivative of z*u - 1/120*u**6 - 28*u**2 + 0*u**3 - 1/6*u**5 + 0 - 25/24*u**4. Factor r(p).
-p*(p + 5)**2
Factor 657/2*o**3 - 72600*o + 0 - 35640*o**2 - 3/4*o**4.
-3*o*(o - 220)**2*(o + 2)/4
Factor 67/5*z - 1/5*z**3 + 14 - 4/5*z**2.
-(z - 7)*(z + 1)*(z + 10)/5
Let c(n) be the first derivative of -n**6/630 - 3*n**5/35 - 16*n**4/21 + 130*n**3/3 + 90. Let m(b) be the third derivative of c(b). Factor m(w).
-4*(w + 2)*(w + 16)/7
Determine l, given that -38*l**2 - 112/5 - 2/5*l**5 + 22/5*l**3 + 14/5*l**4 + 268/5*l = 0.
-4, 1, 2, 7
Suppose -4*f + o + 112 = 5*o, -5*f = -5*o - 140. Factor -17*c**2 + 24 + 17*c**2 + f*c + 4*c**2.
4*(c + 1)*(c + 6)
Factor -4/11*a - 81/11*a**2 + 324/11 + 1/11*a**3.
(a - 81)*(a - 2)*(a + 2)/11
Let g(i) be the first derivative of i**8/168 - i**7/210 - i**6/20 - i**5/60 + i**4/12 + 21*i**2/2 - 41. Let h(y) be the second derivative of g(y). Factor h(q).
q*(q - 2)*(q + 1)**2*(2*q - 1)
Let b = 389 + -386. Suppose b*h + 48 = 7*h - 5*i, 0 = 4*h + 6*i - 4. Solve 1/2*v**2 + h*v + 49/2 = 0.
-7
Let f(c) be the first derivative of -2*c**3/21 - 348*c**2/7 + 698*c/7 - 1036. Factor f(i).
-2*(i - 1)*(i + 349)/7
Suppose -3*z = 3*r + 6, 10 = -8*z + 9*z - 2*r. Factor 0*h**2 - h**2 + 4*h**z - 12 + 18*h - 10 - 26.
3*(h - 2)*(h + 8)
Suppose 0 = 6*w + 104 - 92. Let c be (-6 - (-1 + w)) + 112/36. Factor -4/9*f**3 + 16/9 + 0*f**2 - c*f**4 + 16/9*f.
-(f - 2)*(f + 2)**3/9
Let b(m) = m**3 - 40*m**2 - 4369*m + 730. Let o be b(89). Factor -o*c**2 + 202/11*c - 68/11 + 2/11*c**4 + 62/11*c**3.
2*(c - 1)**3*(c + 34)/11
Let m = -463 - -468. Suppose -m*t + 17*t = 24. Suppose -10/3 + 5/2*a**t + 25/2*a**4 - 65/3*a**3 + 10*a = 0. What is a?
-2/3, 2/5, 1
Let m be (22/4 - 2)*6. Let 8*v**4 - 23 + 8*v**2 - 5 - 23 - m*v + 32*v**3 - 7*v + 35 - 4*v**5 = 0. What is v?
-1, 1, 4
Let x be 16 - (-2496)/(-195)*10/36. Factor -x*v + 8/3 - 14/9*v**3 + 34/3*v**2.
-2*(v - 6)*(v - 1)*(7*v - 2)/9
Let a(g) be the second derivative of -1/42*g**7 + 0 + 0*g**2 + 1/2*g**3 - 2/15*g**6 + 38*g - 1/10*g**5 + 1/3*g**4. Determine l, given that a(l) = 0.
-3, -1, 0, 1
Let y be (-16)/30*20/(-160). Let a(q) be the third derivative of 0 + 2/3*q**4 - 6*q**2 + 0*q**3 - y*q**5 + 0*q. Find i, given that a(i) = 0.
0, 4
Find m such that 48/7 - 1/7*m**5 + 3*m**3 - 80/7*m + 13/7*m**2 - 1/7*m**4 = 0.
-4, -3, 1, 4
Let m(w) be the third derivative of w**5/60 + 5*w**4/12 + 4*w**3 - 1778*w**2. Factor m(q).
(q + 4)*(q + 6)
Let h(r) be the first derivative of -2*r**5/95 - 4*r**4/19 - 32*r**3/57 + 1145. Suppose h(s) = 0. Calculate s.
-4, 0
Let j(p) be the first derivative of 2*p**3/9 - 18*p**2 + 106*p/3 