q)/(1/3). Solve 2/3*k**2 + r - 8/3*k = 0 for k.
1, 3
Suppose 2*y - 3*j - 6 = -4*j, 4*y - 12 = -j. Suppose k + y*u + 3 - 9 = 0, 4*u = -k + 7. Factor 9/4*t**4 - 1 + 1/2*t**k - 6*t - 27/4*t**2.
(t - 2)*(t + 1)**2*(9*t + 2)/4
Let h(a) = 21*a**3 - 25*a**2 - 616*a + 1308. Let t(v) = -340*v**3 + 400*v**2 + 9855*v - 20930. Let r(g) = -65*h(g) - 4*t(g). Factor r(u).
-5*(u - 13)*(u - 2)*(u + 10)
Determine b, given that 362*b + 12*b**3 + 20*b**3 + 864 - 32*b**3 + 3*b**3 + 114*b**2 + 241*b = 0.
-32, -3
Let n be (33 - 23)/70 + ((-60)/(-14))/3. Find s such that -19/7*s**3 + 0 + n*s**2 - 3/7*s**5 - 2/7*s + 13/7*s**4 = 0.
0, 1/3, 1, 2
Factor -1640 - 4925/3*a - 5/3*a**2.
-5*(a + 1)*(a + 984)/3
Let y(h) be the second derivative of -52/45*h**3 - 1/225*h**6 - 2/15*h**5 - 17/15*h**2 + 110*h - 3/5*h**4 + 0. Factor y(b).
-2*(b + 1)**3*(b + 17)/15
Factor 540*s + 102*s**2 + 1/9*s**4 - 648 + 53/9*s**3.
(s - 1)*(s + 18)**3/9
Let s(p) be the first derivative of p**5/180 + 7*p**4/108 + 76*p - 106. Let b(f) be the first derivative of s(f). What is h in b(h) = 0?
-7, 0
Factor -1416 + 1416*x**2 + 605*x**3 + 586*x**3 - 1194*x**3 + 3*x.
-3*(x - 472)*(x - 1)*(x + 1)
Let h(n) be the first derivative of 0*n + 63*n**4 + 320*n**3 - 82 + 16/5*n**5 - 128*n**2. Find a, given that h(a) = 0.
-8, 0, 1/4
Let d(h) be the second derivative of 5*h**7/42 - h**6 - h**5/4 + 5*h**4/2 - 4695*h. Solve d(k) = 0.
-1, 0, 1, 6
Let q = 641 + -721. Let c be 3/(-9)*1*1800/q. Find d such that -c*d - 39/8*d**3 + 15/8*d**5 + 3/2 + 93/8*d**2 - 21/8*d**4 = 0.
-2, 2/5, 1
Let a be 1248/4095 - 4/210. Factor 0 + 8/7*k**2 + 8/7*k + a*k**3.
2*k*(k + 2)**2/7
Factor -3857*h - 2*h**2 + 2*h**2 - 5*h**2 + 492*h.
-5*h*(h + 673)
Let x be ((-6)/2 - 2)/((-14)/(-70)). Let c be -3 - x/((-75)/(-18)). Factor 30/7*m**2 + 0 + 3/7*m**5 + 36/7*m**c + 9/7*m + 18/7*m**4.
3*m*(m + 1)**3*(m + 3)/7
Let q(j) be the second derivative of -j**5/20 - j**4/3 + 5*j**3/2 + 9*j**2 - 151*j. Determine p so that q(p) = 0.
-6, -1, 3
Let z(n) be the second derivative of n**6/1620 - 13*n**5/180 - 32*n**3/3 - 129*n. Let x(r) be the second derivative of z(r). Let x(m) = 0. Calculate m.
0, 39
Let b(j) be the second derivative of -4*j**7/105 - 53*j**6/225 + 149*j**5/75 - 39*j**4/10 + 134*j**3/45 - 16*j**2/15 + 262*j. Let b(z) = 0. What is z?
-8, 1/4, 1/3, 1, 2
Let x(n) be the third derivative of n**8/560 + 18*n**7/175 + 57*n**6/40 - 361*n**5/50 - 5*n**2 + 673. Factor x(r).
3*r**2*(r - 2)*(r + 19)**2/5
Solve 0 + 244/5*a**3 - 162/5*a**2 + 4*a = 0 for a.
0, 10/61, 1/2
Let q(y) be the third derivative of -y**7/840 - y**6/20 - 7*y**5/12 - 436*y**2 + 4. Factor q(o).
-o**2*(o + 10)*(o + 14)/4
Let k(l) be the second derivative of -l**6/45 + 13*l**5/15 - 8*l**4 + 291*l. Suppose k(b) = 0. Calculate b.
0, 8, 18
Let j = -516 + 1564/3. Let s be (-92)/(-12) - (4 - (-35)/(-5)). Solve -2/3*f**2 - s - j*f = 0.
-4
Let 3*d**2 - 554*d**4 + 25*d**3 + 559*d**4 + 7*d**2 - 120 - 100*d = 0. What is d?
-3, -2, 2
Let d(p) be the second derivative of -2/7*p**7 + 0 - 34*p + 0*p**2 - 4*p**4 - 3/5*p**5 + 4/3*p**6 + 8/3*p**3. Solve d(v) = 0 for v.
-1, 0, 1/3, 2
Let d = -5191/1170 + 427/90. Find q such that 0 - d*q**3 - 14/13*q**4 + 0*q + 0*q**2 = 0.
-2/7, 0
Let j be ((0 - 0) + 15)*4*(-26)/(-52). Factor 20*s - 5/2*s**3 + j - 25/2*s**2.
-5*(s - 2)*(s + 1)*(s + 6)/2
Factor -2/21*a**2 - 22/7*a + 380/21.
-2*(a - 5)*(a + 38)/21
Let u(k) be the third derivative of 2048/51*k**3 - 1/1020*k**6 - 17*k**2 + 0*k + 0 - 96/17*k**4 + 11/85*k**5. Factor u(m).
-2*(m - 32)**2*(m - 2)/17
Let x(o) = -2*o**4 + 54*o**3 + 5*o**2 - 200*o - 2. Let j(m) = m**4 - 4*m**3 - m**2 + 2. Let h(l) = 2*j(l) + 2*x(l). Factor h(n).
-2*n*(n - 50)*(n - 2)*(n + 2)
Let g = 110822 + -110820. Suppose 4*c + 3*s - 19 = 0, -3*c + 5 + 11 = 4*s. Factor -16/3*n**g + 2/3*n + 80/3*n**c + 4*n**3 + 50/3*n**5 + 0.
2*n*(n + 1)**2*(5*n - 1)**2/3
Let s = 9339/28 + -1857/7. Factor -49/4*i**3 - 36*i + 5 + s*i**2.
-(i - 5)*(7*i - 2)**2/4
Let t(x) be the third derivative of x**5/60 + 5*x**4/4 - 71*x**3/2 - 107*x**2. Let h be t(-36). Factor -2*v**2 + 1/3*v - 1/3*v**h + 2.
-(v - 1)*(v + 1)*(v + 6)/3
Suppose -47*n + 41*n = -18. Suppose -2*g + 1 = -3*p, -p - 10 - 2 = -3*g. Factor 12/7*m + 1/7*m**n + 3/7*m**4 - 4/7 - 11/7*m**2 - 1/7*m**g.
-(m - 2)*(m - 1)**3*(m + 2)/7
Let v(s) be the second derivative of s**7/28 - s**6/8 - 63*s**5/80 - 19*s**4/16 - 5*s**3/8 + 711*s - 1. Let v(r) = 0. What is r?
-1, -1/2, 0, 5
Let d(x) = x**2 + x + 2. Let q be 3 - (3 - (-4)/16*-4). Let t(m) = -m**2 - m - 1. Let z(g) = q*d(g) + 2*t(g). Factor z(y).
-y*(y + 1)
Let g be (-18976)/(-112) - 17 - 1. What is i in 968/7 - g*i**3 + 50/7*i**4 + 4664/7*i + 5178/7*i**2 = 0?
-2/5, 11
Let m be 1/(78/27)*(850/75 - 10). Factor -148/13*g + 50/13 - m*g**2.
-2*(g + 25)*(3*g - 1)/13
Let n(b) be the third derivative of -b**7/630 - b**6/30 - 3*b**5/10 - 5*b**4/12 + b**3/2 - 16*b**2. Let t(o) be the second derivative of n(o). Factor t(y).
-4*(y + 3)**2
Let n be 25/30*6/210. Let i(y) be the second derivative of -4/21*y**3 + n*y**4 + 3/7*y**2 + 6*y + 0. Factor i(a).
2*(a - 3)*(a - 1)/7
Suppose -4*b + 2 = -3*s, -21*s + 20*s = -b. Suppose 0 = -3*a + 3*m + 4 + 8, -2*m - 23 = -5*a. Factor 2*q**b + 25*q**4 + 2*q**a + 9*q**3 - 19*q**4 - 3*q**3.
2*q**2*(q + 1)**3
Suppose -91/2 - 1/2*w**2 + 46*w = 0. What is w?
1, 91
Let x be (-24)/(-21) - (-264)/14. Suppose 100*c = 110*c - x. Factor -1/4*k**c + 0 - 3/2*k.
-k*(k + 6)/4
Let a(n) be the third derivative of 0 + 1/54*n**4 - 8/27*n**3 + 1/540*n**6 + 1/54*n**5 + 0*n - 75*n**2. Determine r so that a(r) = 0.
-4, -2, 1
Solve 8*t**3 - 6286*t - 236*t**2 - 112 + 3121*t + 3505*t = 0.
1/2, 1, 28
Let s(i) be the second derivative of i**5/180 + 7*i**4/72 - 4*i**3/9 + 58*i**2 - 2*i - 16. Let t(r) be the first derivative of s(r). Factor t(a).
(a - 1)*(a + 8)/3
Let i(a) be the first derivative of a**5/15 - 17*a**4/4 + 464*a**3/9 - 154*a**2 - 480*a + 934. Factor i(h).
(h - 40)*(h - 6)**2*(h + 1)/3
Let i(h) = -2*h + 27. Let q be i(5). Suppose 3*r + r = 4*x - 4, -5*x = -r - q. Factor -6/7*l**x + 12/7*l**3 - 6/7 - 6/7*l - 6/7*l**5 + 12/7*l**2.
-6*(l - 1)**2*(l + 1)**3/7
Let f(x) be the second derivative of 1/12*x**4 - 17/6*x**3 + 0*x**2 + 0 + 0*x**5 - 1/720*x**6 - 12*x. Let l(v) be the second derivative of f(v). Solve l(w) = 0.
-2, 2
Suppose -25*p - 50 = -35*p. Suppose -2*o = -4*o + 5*s - 1, -p*s + 5 = 0. Factor -3/7 + 9/7*h**o + 6/7*h.
3*(h + 1)*(3*h - 1)/7
Factor 1219*j**2 - 1223*j**2 + 138 - 891*j + 2750 + 119*j - 664*j.
-4*(j - 2)*(j + 361)
Let r be (5/3 - 1)/((-324)/(-5346)). Let w be 31/r + (-24)/(-132). Determine u, given that -5/2*u**w + 1/2*u**4 - 7/2*u**2 + 3 + 5/2*u = 0.
-1, 1, 6
Let g be ((-42)/(9198/(-73)))/((-14)/(-48)). Factor g*j + 3/7 + 5/7*j**2.
(j + 1)*(5*j + 3)/7
Let h(x) be the second derivative of x**5/40 + 41*x**4/72 + x**3/2 - 26*x**2/3 - 1208*x. Determine z so that h(z) = 0.
-13, -2, 4/3
Let m be 160/1008*((-87)/(-15) + -4)/3. Let v(d) be the first derivative of -m*d**3 - 6 - 2/7*d**2 + 0*d. Determine n so that v(n) = 0.
-2, 0
Let g(c) be the third derivative of c**5/240 - 185*c**4/16 + 102675*c**3/8 - 960*c**2. Factor g(q).
(q - 555)**2/4
Let x(l) = -5*l**2 + 109*l + 23. Let k be x(22). Let g be -6 + k + (112/(-128) - -6). Factor g + 1/2*p**5 - 15/8*p**4 - 5/4*p**2 + 5/2*p**3 + 0*p.
(p - 1)**4*(4*p + 1)/8
Factor -1/5*u**5 + 278/5*u + 831/5*u**3 + 833/5*u**2 + 55*u**4 + 0.
-u*(u - 278)*(u + 1)**3/5
Determine k so that -3/2*k**4 + 0 - 3/4*k**5 + 6*k**2 + 0*k + 3*k**3 = 0.
-2, 0, 2
Suppose 28 = -5*a + 3, 5*s - 2*a - 70 = 0. Suppose 8*i - 4*v + 4 = 4*i, 2*v = 4*i - 4. Factor 6*f - i*f**2 - s + 12.
-3*f*(f - 2)
Solve -7/8*w**2 + 67/8*w + 15/4 = 0.
-3/7, 10
Let d(h) be the second derivative of -1 - 21/40*h**5 - 3/40*h**6 - 13/12*h**4 - 3/8*h**2 - 76*h - 11/12*h**3. Solve d(x) = 0.
-3, -1, -1/3
Let c(h) be the third derivative of h**6/210 + 8*h**5/35 - 27*h**4/14 + 637*h**2. Factor c(t).
4*t*(t - 3)*(t + 27)/7
Let x be 8 + (-348)/42 - (0 - (-161)/(-49)). Factor -125/2 - 7*b**x + 1/2*b**4 + 30*b**2 - 25*b.
(b - 5)**3*(b + 1)/2
Let j = -693 + 701. Let d(p) = p**2 - 2*p. Let r be d(2). Factor 8*k - 2*k**4 - j + r*k**4 + 2*k**3 + 6 - 12*k**2 + 6*k**3.
-2*(k - 1)**4
Let t be (-2)/(-7 - -9) + (-3)/(-1). Factor -a**2 - 213*a + 399*a - 220*a + 0*a**t - 289.
-(