/4*z**2 - 30. Let a(t) = 0. What is t?
-2/11, 0, 1
Factor -356*g**2 - 45118016/3 + 1/3*g**3 + 126736*g.
(g - 356)**3/3
Let z(t) be the second derivative of -t**9/7056 + 3*t**8/3920 - t**6/210 + 145*t**3/6 - 65*t + 1. Let p(w) be the second derivative of z(w). Factor p(g).
-3*g**2*(g - 2)**2*(g + 1)/7
Determine o so that 543*o + 1/4*o**2 + 294849 = 0.
-1086
Suppose -o = -14*k + 193, -2 = -o + 4*k - 55. Factor -1/12*w + 0 + 1/12*w**4 - 1/12*w**2 + 1/12*w**o.
w*(w - 1)*(w + 1)**2/12
Let u be ((-16)/6)/(56/(-42)). Factor -18 + 40*j**u - 18 - 4*j**3 + 36.
-4*j**2*(j - 10)
Let m be ((-4)/162)/(610/(-183)). Let l(y) be the third derivative of 0*y + 0 + 4/27*y**3 - m*y**5 - 1/54*y**4 + 23*y**2. Factor l(z).
-4*(z - 1)*(z + 2)/9
Suppose -8*r + 829 = -539. Suppose r + 487 = s. Solve -329*i - 323*i - 3*i**2 + 9 + s*i = 0 for i.
-1, 3
Let i(y) be the third derivative of 5/6*y**5 + 0 - 5/336*y**8 + 1/3*y**6 + 203*y**2 + 0*y - 115/24*y**4 + 25/3*y**3 - 2/21*y**7. Let i(c) = 0. Calculate c.
-5, -2, 1
Let d = -271763/5 + 54355. Factor -d + 22/5*y - 2/5*y**3 - 8/5*y**2.
-2*(y - 1)**2*(y + 6)/5
Let a(j) = 2 + 0 + 24*j - 25*j. Let g be a(0). Solve -79*k**g - 59*k**2 - 27 + 2*k**5 + 90*k**3 - 27*k**4 + k**5 + 99*k = 0 for k.
1, 3
Suppose -8*d + 56 = -d. Let o(n) = n**3 - 7*n**2 - 9*n + 12. Let f be o(d). Factor 5*p**2 + 63*p + 11*p**2 + 19*p**2 - 9*p**f + 3*p**5 - 18*p**3 + 27 - 5*p**2.
3*(p - 3)**2*(p + 1)**3
Let n be 250 + -241 - (-1 - (0 + -7)). Suppose -2/3*f**n + 2 - 2*f**2 + 2/3*f = 0. Calculate f.
-3, -1, 1
Let k(j) be the first derivative of -j**3/15 + 159*j**2/5 - 25281*j/5 + 3340. Factor k(m).
-(m - 159)**2/5
Let y(l) be the first derivative of -l**4/4 - 2*l**3 + 15*l**2/2 - 17*l - 28. Let s(c) be the first derivative of y(c). Factor s(r).
-3*(r - 1)*(r + 5)
Factor -800*t - 2413*t + 6233*t + 115 + 270*t**2 + 725 - 33*t**3 - 2*t**3.
-5*(t - 14)*(t + 6)*(7*t + 2)
Let m(d) = 15*d**3 - 585*d**2 - 2910*d - 110. Let o(a) = -a**3 + 42*a**2 + 208*a + 8. Let u(c) = 4*m(c) + 55*o(c). Factor u(v).
5*v*(v - 10)*(v + 4)
Let h(x) be the first derivative of 0*x - 75 + 1/5*x**4 + 0*x**2 - 12/5*x**3. What is m in h(m) = 0?
0, 9
Suppose 0 = -5*u, -4*o + u = 4*u - 84. Let q = -19 + o. Factor 18*y**2 + 0*y**2 - 8*y**q - 5*y**2.
5*y**2
Let s = 2194622/7 + -313517. Suppose 36/7*b**3 - 36/7*b - 108/7 + s*b**4 + 15*b**2 = 0. Calculate b.
-6, -1, 1
Let b = 87 - -52. Let i = b + -136. Suppose 2/3*f**2 + 2/5*f**i - 8/15 - 8/15*f = 0. Calculate f.
-2, -2/3, 1
Factor 588*i - 400*i**2 - 580*i**2 + 1288*i**2 + 4*i**3 - 900.
4*(i - 1)*(i + 3)*(i + 75)
Let h be (33 - 1)*6/36*3. Let y be (-175)/6*h/(2464/(-99)). What is b in -15/2*b + 3/4*b**2 + y = 0?
5
Let p(a) = 3*a**4 - 43*a**3 - 608*a**2 - 1232*a + 1940. Let b(g) = g**4 + g**3 + g**2 + 11*g + 1. Let w(j) = -4*b(j) + p(j). Factor w(q).
-(q - 1)*(q + 4)*(q + 22)**2
Let i(l) be the first derivative of -8*l**5/55 + 21*l**4/22 - 74*l**3/33 + 24*l**2/11 - 8*l/11 - 978. Determine o so that i(o) = 0.
1/4, 1, 2
Suppose -8*u - 210 = -22*u. Factor 108 + u*a**3 + 34*a + 33*a**2 + 52*a + 17*a**3 - 29*a**3 + 22*a.
3*(a + 2)*(a + 3)*(a + 6)
Let i(b) be the third derivative of b**8/840 + 38*b**7/525 + 33*b**6/25 + 108*b**5/25 + 1218*b**2. Determine d, given that i(d) = 0.
-18, -2, 0
Let l = 1026 - 955. Suppose -33 - l*c - 2*c**3 + 83 + c + 22*c**2 = 0. What is c?
1, 5
Suppose -237*n + 1072 = 31*n. Let i(x) be the second derivative of -1/108*x**n + 1/18*x**3 + 0 - 1/90*x**5 + 0*x**2 - 5*x. Factor i(y).
-y*(y - 1)*(2*y + 3)/9
Let g(v) be the second derivative of v**6/160 - v**5/40 - 66*v**2 + v - 1. Let p(m) be the first derivative of g(m). Factor p(k).
3*k**2*(k - 2)/4
Let j(i) be the second derivative of -i**4/18 - 4*i**3/3 + 64*i**2/3 + 416*i. Solve j(p) = 0.
-16, 4
Let b(y) = -5*y**4 + 985*y**3 + 4735*y**2 + 2335*y - 8350. Let x(c) = 3*c**4 - 657*c**3 - 3156*c**2 - 1562*c + 5567. Let f(r) = -13*b(r) - 20*x(r). Factor f(w).
5*(w - 1)*(w + 3)**2*(w + 62)
Let w be ((-1)/3)/(35/(-126)). Let h = 14471 + -14469. Determine k so that -k + w - 1/5*k**h = 0.
-6, 1
Let y(l) be the third derivative of 3*l + 1/90*l**5 + 6*l**2 + 0 - 2/3*l**3 - 1/360*l**6 + 11/72*l**4. Factor y(p).
-(p - 4)*(p - 1)*(p + 3)/3
Let p(u) = -40*u**2 - 12745*u + 605540. Let q(z) = -3*z**2 - 910*z + 43253. Let w(i) = -4*p(i) + 55*q(i). What is x in w(x) = 0?
93
Let d be -12*204/(-42) + -2. Let s = d + -56. Suppose -s - 6/7*i**2 + 6/7*i + 2/7*i**3 = 0. Calculate i.
1
Let t be (192/(-3))/(-8)*14/4. Solve t*w**2 + 5*w**3 - 12*w**2 - 1 - 55*w + 31 + 4*w**2 = 0 for w.
-6, 1
Suppose 8*d = 5*d - p + 17, -8 = -4*p. Solve 16*f**4 - 10*f**3 - 165*f + 57*f - 14*f**3 + 4*f**d - 144*f**2 = 0.
-3, -1, 0, 3
Let q(h) = -h**3 + 2*h + 7*h**2 + h - 200 + 0*h**2 + 192 - h**2. Let u(i) = 2*i**2 - i - 1. Let f(p) = -q(p) + 4*u(p). Factor f(v).
(v - 1)**2*(v + 4)
Let b(h) be the first derivative of -h**3/3 - 7*h**2 - 33*h + 1635. Solve b(y) = 0.
-11, -3
Let y = -30497 - -426961/14. Let t(b) be the first derivative of 2/7*b**3 + 0*b - y*b**4 - 8 - 1/7*b**2 + 2/35*b**5. Suppose t(o) = 0. Calculate o.
0, 1
Let x be 222/(-4)*-4*(-1)/(-2). Determine c, given that 178*c**3 + 40*c - 109*c**4 + 35*c**5 - x*c**4 - 230*c**2 + 197*c**3 = 0.
0, 2/7, 1, 4
Let t(l) = -2*l**2 + l - 1. Let i(k) be the second derivative of k**4/2 - 65*k**3/3 + 1025*k**2 - 44*k. Let z(w) = 2*i(w) + 4*t(w). What is q in z(q) = 0?
32
Let a be 69*(-3)/(-15) - (-10 - -23). Factor -1/5*y**4 - 8/5*y + 2/5*y**3 + 0 + a*y**2.
-y*(y - 2)**2*(y + 2)/5
Let u(g) = -g**2 + 440*g - 431. Let m(x) = 2*x**2 - 878*x + 862. Let i(b) = -4*m(b) - 7*u(b). Factor i(w).
-(w - 431)*(w - 1)
Suppose -2*a = 2*d, 3*d + 2*a + 2*a = -3. Factor 3*c**d + 9 - 5 + 3*c**2 - 3*c - 7.
3*(c - 1)*(c + 1)**2
Suppose -k = -0 - 1. Suppose 2*q + b - 4 = 0, -b - 9 + k = -q. Let 28*l + q - l**2 - 28*l = 0. What is l?
-2, 2
Let a(y) be the first derivative of -y**6/48 - y**5/8 - 3*y**4/16 + y**3/12 + 7*y**2/16 + 3*y/8 - 1550. What is c in a(c) = 0?
-3, -1, 1
Factor -337 - 1/2*q**2 - 675/2*q.
-(q + 1)*(q + 674)/2
Let x = 580 - 576. Suppose -5*a**3 - 2 + 25*a + 5*a**4 - x - 15*a**2 + 2 - 7 + 1 = 0. What is a?
-2, 1
Let k(z) = -z**3 + 15*z**2 - 33*z + 93. Let d be (21/35)/(21/455). Let c be k(d). Let -3/8*r**c - 9/4 + 21/8*r = 0. What is r?
1, 6
Let v = -804 + 809. Suppose -22 = -h + 5*j, -10*h = -13*h - v*j - 14. Solve 4/3 - 2*m + 2/3*m**h = 0 for m.
1, 2
Let b(s) be the first derivative of -s**5/15 + 29*s**4/2 - 1080*s**3 + 25200*s**2 + 432000*s + 7764. Factor b(c).
-(c - 60)**3*(c + 6)/3
Let j be ((-8)/(-2))/(-2) + (1 - -49). Let y = j - 44. Suppose 104*l - 4*l**y - 4*l**5 - 104*l = 0. What is l?
-1, 0
Let f(g) be the third derivative of -g**8/448 - 3*g**7/140 + 3*g**6/10 - 37*g**5/40 + 33*g**4/32 + 1250*g**2. Solve f(r) = 0.
-11, 0, 1, 3
Let x be ((96/6 - 12)*(-2)/12)/(-17). Let z(c) be the first derivative of x*c**3 + 0*c + 10 - 2/85*c**5 - 1/17*c**2 + 1/34*c**4. Suppose z(q) = 0. Calculate q.
-1, 0, 1
Let o(g) be the second derivative of g**4/54 + 22*g**3/3 + 392*g**2/9 - 1512*g. Factor o(y).
2*(y + 2)*(y + 196)/9
Suppose 2587 = 4*z + 5*b, 4*z - 5*b = -z + 3245. Find c such that z*c + 32*c**2 + 29*c**3 - 567 + 19*c**3 - 3*c**4 - 302*c**2 = 0.
3, 7
Let l(y) be the third derivative of y**8/336 + 29*y**7/210 + 79*y**6/40 + 247*y**5/60 - 845*y**4/12 - y**2 - 8*y - 8. Factor l(a).
a*(a - 2)*(a + 5)*(a + 13)**2
Determine r so that -1/5*r**3 + 47/5*r**2 + 97/5*r + 49/5 = 0.
-1, 49
Let h(j) be the third derivative of 0*j + 0 + 1/540*j**6 - 28*j**2 - 2/135*j**5 - 14/27*j**3 - 19/108*j**4. Factor h(d).
2*(d - 7)*(d + 1)*(d + 2)/9
Let m(y) = 23*y**3 + 3328*y**2 + 4643*y + 1314. Let b(z) = z**3 + 5*z - 2. Let i(w) = 3*b(w) - m(w). Suppose i(k) = 0. What is k?
-165, -1, -2/5
Let i = 5/308 + -73/9240. Let q(w) be the second derivative of 1/2*w**2 + 1/6*w**3 - 1/16*w**4 + 0 - 1/40*w**5 + i*w**6 + 8*w. Determine y so that q(y) = 0.
-1, 2
Let q(l) be the second derivative of -l**4/3 - 80*l**3/3 + 168*l**2 - 151*l + 1. Solve q(p) = 0.
-42, 2
Let 400*f + 2/5*f**3 + 3936/5 + 262/5*f**2 = 0. What is f?
-123, -4
Suppose 19*b - 20*b - 2*z + 4 = 0, -3*z + 6 = 0. Let c(r) be the first derivative of 11 + 1/2*r**4 + b*r**5 + 0*r**3 + 0*r - 1/3*r**6 + 0*r**2. Factor c(f).
-2*f**3*(f - 1)*(f + 1)
Let u = -