 + 3552*y/5 - 2979. Let u(i) = 0. Calculate i.
-296, -4
Let a = 268 + -155. Let x = a - 104. Factor 9*l**2 - x + 9*l + 13*l + l**3 - 4*l**2 - 19*l.
(l - 1)*(l + 3)**2
Let 52*v**5 - 41160*v - 24804*v**3 - 1268*v**4 - 104*v**5 - 11328*v - 140940*v**2 + 32*v**5 = 0. Calculate v.
-27, -9, -2/5, 0
Let o = 99 - 60. Suppose -84*l**2 - 153*l**4 + 3*l**2 - 219*l**3 - o*l**5 + 9*l**5 + 33*l + 18 + 0*l**5 = 0. Calculate l.
-3, -1, -1/2, 2/5
Let k = -25138/3 + 8380. Let a(n) be the first derivative of 2/5*n**5 - 3/2*n**4 - 23 - k*n**3 + 0*n + 3*n**2. What is m in a(m) = 0?
-1, 0, 1, 3
Let b(q) be the first derivative of 3*q**6 + 2922*q**5/5 - 2471*q**4/2 - 3586*q**3/3 + 1802*q**2 - 656*q - 8934. Let b(c) = 0. What is c?
-164, -1, 1/3, 2
Let f(z) be the first derivative of 2*z**3/3 + 67*z**2 + 504*z - 619. What is q in f(q) = 0?
-63, -4
Let f be ((9 + 513/(-54))*-4)/(6/22). Let 8/3 + f*r**2 - 16*r = 0. What is r?
2/11, 2
Solve 480 + 32*y - 2/3*y**2 = 0.
-12, 60
Factor 1/7*s**2 + 0 + 1/7*s.
s*(s + 1)/7
Factor 254*v - 2/7*v**2 - 1776/7.
-2*(v - 888)*(v - 1)/7
Let l(a) be the second derivative of 0*a**3 - 49*a + 0 - 5/12*a**4 + 5/2*a**2. Factor l(o).
-5*(o - 1)*(o + 1)
Let u = -302 - -422. Let o be 1 + 0 - (-60)/u. Suppose -3*g + o*g**2 + 3/2 = 0. What is g?
1
Let t(u) be the third derivative of 114*u**2 + 8/3*u**3 - 1/6*u**4 + 0*u + 0 + 1/240*u**5. Factor t(y).
(y - 8)**2/4
Let i(l) be the first derivative of l**6/240 + l**5/4 + 25*l**4/4 + 73*l**3/3 + 28. Let s(z) be the third derivative of i(z). Solve s(w) = 0 for w.
-10
Let h = -80855 - -485131/6. Find m such that -8*m + 96 + h*m**2 = 0.
24
Suppose -83 = 7*f - 1098. Let p be (58/f)/((-3)/(-10)). Find t, given that 4/9*t**2 + 16/9*t + p = 0.
-3, -1
Let s = 338 - 372. Let u be s/(-24) + 13/(546/35). Let 3/8*i**2 + 15/8 - u*i = 0. What is i?
1, 5
Let u(x) be the second derivative of -x**7/147 - x**6/35 + 3*x**5/14 - 17*x**4/42 + 2*x**3/7 + 1141*x - 2. Factor u(n).
-2*n*(n - 1)**3*(n + 6)/7
Let t(d) = 2*d + 7. Let u be t(6). Let p(v) = 9*v - 7. Let x be p(1). Determine f, given that -10*f**2 - 3*f + u*f**x - 9*f**3 + 0*f + 3*f**4 = 0.
0, 1
Let f(r) = -15*r**3 + 137*r**2 - 264*r + 121. Let h(s) = 7*s**3 - 69*s**2 + 132*s - 61. Let p(x) = 3*f(x) + 7*h(x). Factor p(t).
4*(t - 16)*(t - 1)**2
Let z be 27/2 - -33*23/(-253). Factor -12*w - z*w**2 - 3/2.
-3*(w + 1)*(7*w + 1)/2
Let t be 144/(-32)*((-10)/15)/((-3)/(-2)). Let u(w) be the third derivative of 3/20*w**3 + 0*w + 1/600*w**5 + 8*w**t + 0 + 1/40*w**4. What is x in u(x) = 0?
-3
Let s(b) be the first derivative of 2*b**3/3 + 404*b**2 + 81608*b + 2504. Find h such that s(h) = 0.
-202
Suppose 4*r + 2 = -u, -24*u + 3*r = -23*u - 5. Suppose 0 = u*c - 142 + 136. Let 1/2*t**2 - 3/2*t**c + 1/2*t**4 - 1 + 3/2*t = 0. Calculate t.
-1, 1, 2
Let n(k) = -53*k - 258. Let u be n(-6). Let c be (8/u)/(2/140). Solve 20/3*d**2 + 4 + c*d + 4/3*d**3 = 0 for d.
-3, -1
Suppose 7*v - 14 = -0*v. Suppose 0 = 2*b + v, -2*p + 0*p = -b - 5. Factor 1/7*m**p + 1/7*m**3 - 1/7*m - 1/7*m**4 + 0.
-m*(m - 1)**2*(m + 1)/7
Let x(d) be the second derivative of 0 + 0*d**2 + 5/3*d**3 - 3*d + 5/12*d**4. Factor x(t).
5*t*(t + 2)
Factor 22*w + 18*w - 2*w - 1805*w**2 - 168 + 1806*w**2.
(w - 4)*(w + 42)
Let o(w) be the third derivative of -12*w**3 + 1/120*w**6 + 5/2*w**4 + 105*w**2 - 7/30*w**5 + 0*w + 0. Let o(j) = 0. Calculate j.
2, 6
Let x(o) be the first derivative of o**6/120 - o**5/20 + 2*o**3/3 + 3*o**2 + 1. Let i(v) be the third derivative of x(v). Factor i(p).
3*p*(p - 2)
Let u(m) be the first derivative of -m**4/22 - 1402*m**3/33 - 11072*m**2 + 67584*m - 3732. Determine a, given that u(a) = 0.
-352, 3
Let v(k) be the first derivative of -8/5*k**2 + 2/15*k**3 + 1/10*k**4 - 24/5*k + 147. Solve v(b) = 0.
-2, 3
Let w(s) be the third derivative of -s**8/504 + 34*s**7/315 - 7*s**6/5 + 39*s**5/5 - 75*s**4/4 + 122*s**2 - 2*s. Factor w(x).
-2*x*(x - 25)*(x - 3)**3/3
Determine b so that 5/4*b**5 + 0 + 11/2*b**4 + 5*b**2 + b + 33/4*b**3 = 0.
-2, -1, -2/5, 0
Suppose 19*d = -4*d + 7*d - 14*d. Let i(j) be the first derivative of -20/3*j**3 + d*j**2 + 5/4*j**4 - 40 + 0*j. Solve i(p) = 0 for p.
0, 4
Let w(l) be the first derivative of -17/2*l**2 - 3 - 1/12*l**3 - 1/240*l**5 - 1/32*l**4 + 0*l. Let o(c) be the second derivative of w(c). Factor o(k).
-(k + 1)*(k + 2)/4
Let h(q) be the first derivative of q**6/180 - 17*q**5/30 - 35*q**4/12 + 14*q**3 - 142. Let s(a) be the third derivative of h(a). Factor s(b).
2*(b - 35)*(b + 1)
Let 5943 - 516*f**3 + 7727 + 22698*f**2 + 28*f**4 - 15033*f - 25*f**4 + 8005 - 28827*f = 0. Calculate f.
1, 85
Let h(o) be the first derivative of o**4/2 + 50*o**3/3 + 66*o**2 - 305. Solve h(q) = 0 for q.
-22, -3, 0
Let u(g) = 5*g + 7*g - 1 + 7*g - 2. Let f be u(13). Suppose f*k**2 + 8*k**3 - 4*k**5 - 244*k**2 - 4*k = 0. Calculate k.
-1, 0, 1
Factor 0*q - 296/7*q**2 + 0 - 594/7*q**3 - 300/7*q**4 - 2/7*q**5.
-2*q**2*(q + 1)**2*(q + 148)/7
Let k(y) = -6*y**2 + 52*y + 1. Let c be k(7). Let t = c - 71. Factor t - 5/4*f**2 - 35/4*f.
-5*f*(f + 7)/4
Let t = 339 - 337. Factor -33*z**t + 47*z**2 + 5*z**3 - 19*z**2.
5*z**2*(z - 1)
Let z(i) be the third derivative of -i**5/240 + 71*i**4/6 - 40328*i**3/3 + 8*i**2 - 4*i + 5. Solve z(b) = 0 for b.
568
Let x(i) be the first derivative of i**6/2 - 648*i**5/5 + 26553*i**4/2 - 662924*i**3 + 30817539*i**2/2 - 94685772*i - 2882. Factor x(p).
3*(p - 53)**4*(p - 4)
Determine r, given that 11/3*r + 1/6*r**2 - 23/6 = 0.
-23, 1
Solve 7*n**3 + 62/5 + 129/5*n**2 + 1/5*n**4 + 157/5*n = 0.
-31, -2, -1
Suppose -b = 5*h - 3, -4*h = -b - 14286 + 14289. Determine k so that -16/3 + 14/3*k**4 - 14*k**2 - 52/3*k + 8/3*k**b = 0.
-1, -4/7, 2
Let w(c) be the second derivative of c**7/210 - 2*c**6/15 + 4*c**5/25 + 31*c**4/30 - 97*c**3/30 + 19*c**2/5 - 1099*c. Solve w(n) = 0 for n.
-2, 1, 19
Let u(k) = -3*k**3 - 324*k**2 - k - 104. Let t be u(-108). Let g(o) be the second derivative of 29*o + 1/7*o**2 + 0 - 5/28*o**t - 13/42*o**3. Factor g(s).
-(s + 1)*(15*s - 2)/7
Let p = 473 - 526. Let j be (-41)/(-3) + p/159. Solve -1/2*f**5 + 20*f**2 + 8/3 + 25/6*f**4 - 40/3*f - j*f**3 = 0 for f.
1/3, 2
Let z(m) be the second derivative of 2*m - 1/48*m**4 - 1/6*m**3 + 0*m**2 - 1. Factor z(a).
-a*(a + 4)/4
Let b(w) = -5*w**2 - 18*w - 16. Let i(u) be the first derivative of 8*u**3 + 45*u**2 + 80*u - 56. Let j(y) = -14*b(y) - 3*i(y). Factor j(z).
-2*(z + 1)*(z + 8)
Let a(g) = -946*g + 226. Let s be a(1). Let y be ((-3)/12)/(63/s). Factor 50/7*v + y*v**2 + 2/7*v**3 + 0.
2*v*(v + 5)**2/7
Let l(v) be the third derivative of v**8/168 + 61*v**7/105 + 59*v**6/60 - 61*v**5/30 - 5*v**4 + 1053*v**2. Determine q, given that l(q) = 0.
-60, -1, 0, 1
Let w(v) be the first derivative of -4*v**5/35 - 17*v**4/7 - 164*v**3/21 + 34*v**2/7 + 24*v - 2725. Find h, given that w(h) = 0.
-14, -3, -1, 1
Let c = -27514/5 - -55043/10. Solve -1/2*s - c*s**3 - 3/2*s**2 + 0 - 1/2*s**4 = 0 for s.
-1, 0
Suppose 159*h + 304*h = -78*h. Solve 7/3*l + 1/6*l**2 + h = 0.
-14, 0
Let s(b) be the second derivative of -b**5/90 + 17*b**4/54 - 14*b**3/27 - 32*b**2/9 + 6*b - 64. Factor s(q).
-2*(q - 16)*(q - 2)*(q + 1)/9
Let u = -12049 + 12078. Let h(q) be the first derivative of q**3 - 3/5*q**5 - 3/2*q**4 + 0*q + u + 3*q**2. Find f such that h(f) = 0.
-2, -1, 0, 1
Factor -7*j**2 - 127290*j + 10*j**2 + 126837*j.
3*j*(j - 151)
Let j(m) = 4*m**2 + 295*m - 297. Let o be j(1). Solve 2/5*i**o + 8/5 - 8/5*i = 0 for i.
2
Let p = 80 - 78. Solve 18 - 63 + 11*i**p + 24*i - 7*i**2 - 7*i**2 = 0.
3, 5
Let w(h) = -3*h**2 - 10*h - 1. Let b be w(-2). Suppose b*o = -3*o. Factor -16/7*m**2 + 0*m - 4/7*m**4 - 20/7*m**3 + o.
-4*m**2*(m + 1)*(m + 4)/7
Suppose 15 = -5*k, -19 + 11 = -5*v - 4*k. Suppose -v*d + 8 = 2*a, -5*a + 19 = -d - 1. Determine s so that -1/2*s**2 + 1/6*s**3 + d + 1/3*s = 0.
0, 1, 2
Let k(i) be the second derivative of -i**6/150 + 3*i**5/25 - 8*i**4/15 + 462*i. Factor k(c).
-c**2*(c - 8)*(c - 4)/5
Let t be ((-57)/6 + 3)*(-24 - 10 - -29). Suppose -22 + t*f + 3/4*f**2 = 0. What is f?
-44, 2/3
Suppose 32/7*n**2 + 104/7*n + 2/7*n**3 + 96/7 = 0. What is n?
-12, -2
Let g(a) be the first derivative of a**3/7 - 57*a**2/14 + 54*a/7 - 1040. What is b in g(b) = 0?
1, 18
Suppose 735 = 12*z + 675. Suppose 19*f - 4*t = 14*f + 17, -2*f - 13 = z*t. Suppose 