736880028*y - 104821185145. Let f(o) = -3*q(o) + 24*v(o). Factor f(z).
3*(z + 569)**4
Suppose 4*d + l = 13, -d + 1055 - 1043 = 2*l. Factor -4/5*a**4 + 0*a + 0*a**3 + 16/5*a**d + 0.
-4*a**2*(a - 2)*(a + 2)/5
Let u = -439 - -442. Suppose -t + 5 - u = 0. What is c in 8/7*c + 43/7*c**4 - c**3 + 4/7 - 3*c**5 - 27/7*c**t = 0?
-2/3, -2/7, 1
Let w be (-189 + 189)/(-5 + 2). Let k(n) be the first derivative of 0*n**2 + 2/3*n**6 + 7*n**4 - 32/5*n**5 + w*n**3 + 0*n - 15. Factor k(g).
4*g**3*(g - 7)*(g - 1)
Suppose 3*n + 5 + 4 = -2*w, 3*n = 5*w + 12. Let p be (10/(-40))/(n/12). Find m, given that -65*m - 21*m**3 - 15 + 9*m**p - 65*m**2 - 3*m**3 = 0.
-3, -1, -1/3
Let y(r) = -r**5 + 26*r**4 - 52*r**3 - 1755*r**2 + 1782*r. Let v(i) = -i**3 - i**2 + 2*i. Let j(p) = 5*v(p) + y(p). Factor j(c).
-c*(c - 16)**2*(c - 1)*(c + 7)
Let v be (4/(-2))/((-34)/(-85)). Let z be 2*(v - (-582)/114). Factor 0 + z*d**3 + 2/19*d**4 + 0*d + 0*d**2.
2*d**3*(d + 2)/19
Let n be (-111)/(-4130) - 46/(-644). Let p = n - -6/59. Factor -p*f**3 + 1/5*f**2 + 0 - 1/5*f**4 + 1/5*f.
-f*(f - 1)*(f + 1)**2/5
Let w(f) be the first derivative of -4/15*f**3 - 2/25*f**5 + 0*f + 0*f**2 + 3/10*f**4 - 113. Factor w(n).
-2*n**2*(n - 2)*(n - 1)/5
Suppose -2*q**2 - 9/5*q**3 + 0*q + 7/5*q**4 + 0 = 0. Calculate q.
-5/7, 0, 2
Let z(o) be the first derivative of -o**3 + 1332*o**2 - 591408*o + 1695. Let z(q) = 0. Calculate q.
444
Let k(z) be the third derivative of z**8/432 - 2353*z**7/1890 + 12362*z**6/45 - 154056*z**5/5 + 1624448*z**4 - 921984*z**3 + 266*z**2 - z - 1. Factor k(o).
(o - 84)**4*(7*o - 1)/9
Let n(w) be the third derivative of w**9/52920 + w**8/5880 + w**7/2205 - 41*w**4/24 + 60*w**2. Let q(y) be the second derivative of n(y). Factor q(b).
2*b**2*(b + 2)**2/7
Let k(i) be the third derivative of -i**5/480 + 31*i**4/48 - 121*i**3/16 + 84*i**2 + 2*i - 7. Factor k(v).
-(v - 121)*(v - 3)/8
Let g = 10445 - 10443. Let m(h) be the third derivative of 1/30*h**6 - 4/3*h**3 + 0*h + 0 + 7*h**g + 2/15*h**5 - 1/6*h**4. Suppose m(v) = 0. What is v?
-2, -1, 1
Suppose -3*i - 91 = -4*j - j, 0 = -4*j + i + 77. Factor -8*r**2 - 35 - 40*r + 23*r**2 - j*r**2.
-5*(r + 1)*(r + 7)
Solve 26/5*n**4 - 256*n - 1/5*n**5 - 69/5*n**3 + 0 - 1376/5*n**2 = 0.
-5, -1, 0, 16
Let m = -130 + 138. Suppose 27*q - m = 23*q. Let 0 - 1/4*o**3 + 0*o**q + 1/4*o = 0. What is o?
-1, 0, 1
What is r in -3/8*r**2 + 207/4 + 201/8*r = 0?
-2, 69
Let v = -537/8 + 549/8. Let i be ((-3)/54)/((-1)/(-12)*-4). Suppose -i*d**2 - v - d = 0. What is d?
-3
Suppose 45*j - 18*j - 810 = 0. Suppose 58 = 22*i - j. Factor 2/7*o**i + 0 + 10/7*o**2 - 8/7*o**3 - 4/7*o.
2*o*(o - 2)*(o - 1)**2/7
Suppose -20 + 176/5*c**2 - 82*c - 18/5*c**3 = 0. What is c?
-2/9, 5
Let h(i) be the first derivative of 11*i**3/3 - 12*i**2 + 183. Let f(r) = 17*r**2 - 36*r. Let b(g) = 5*f(g) - 8*h(g). What is m in b(m) = 0?
0, 4
Suppose 2*t = 4*l - 14, -4*l + t + 6 + 5 = 0. Factor 0 - 1/3*f**3 - l*f + 5/3*f**2.
-f*(f - 3)*(f - 2)/3
Let z be 2 - ((-34)/(-187) + (-2)/11). Factor -2*p**2 + 3*p**5 + p**4 - 5*p + 1 - 2*p**3 + 3*p - z*p**5 + 3*p.
(p - 1)**2*(p + 1)**3
Let n be 339/(-612) - (-6)/(5 + 1). Let a = n - 10/51. Let 0 + a*p**3 - 1/2*p**2 + 1/4*p = 0. Calculate p.
0, 1
Factor -25/3*b**2 + 11875/6*b - 31250 - 5/6*b**3.
-5*(b - 25)**2*(b + 60)/6
Let o(a) be the third derivative of 2*a**7/105 - a**6/5 - 19*a**5/15 + 4*a**4 + a**2 + 10818. Factor o(g).
4*g*(g - 8)*(g - 1)*(g + 3)
Let a(i) = -3*i**2 + 3047*i + 2062. Let q(v) = v**2 - 3044*v - 2064. Let m(d) = -7*a(d) - 6*q(d). Solve m(j) = 0 for j.
-2/3, 205
Let m(k) be the first derivative of 1/9*k**2 - 1/18*k**4 + 0*k**3 + 0*k + 6. Factor m(z).
-2*z*(z - 1)*(z + 1)/9
What is t in 598*t**2 - 1504*t - 4*t**4 - 104*t**3 - 14311 + 122*t**2 + 15335 = 0?
-32, 2
What is z in -4/9*z**4 + 2/3 - 1/9*z**5 + 14/9*z**2 + 0*z**3 + 17/9*z = 0?
-3, -1, 2
Determine i, given that 3316/3*i**2 - 1904/3 + 640*i - 8/3*i**4 + 308*i**3 = 0.
-2, 1/2, 119
Let v be ((-6)/42)/(33/(-77)). Let f(t) be the second derivative of 0*t**2 + 2*t**3 + 6*t - v*t**4 + 0. Factor f(y).
-4*y*(y - 3)
Let x(u) be the third derivative of -3*u**7/35 + 23*u**6/15 - 154*u**5/15 + 88*u**4/3 - 64*u**3/3 + 2*u**2 - 136*u. Suppose x(f) = 0. What is f?
2/9, 2, 4
Let b(k) be the third derivative of -k**6/72 - 7*k**5/8 - 25*k**4/6 - 3*k**3 - 315*k**2. Let y(m) be the first derivative of b(m). Factor y(g).
-5*(g + 1)*(g + 20)
Find a such that 510809*a + 2035*a**4 + 7245*a**2 - 4862*a**3 + 135*a**5 - 510319*a + 13517*a**3 = 0.
-7, -1, -2/27, 0
Let b be (-843)/165 + (-8 - 2). Let j = -87/11 - b. Let 8/5*i**4 + 6/5*i + j + 2/5*i**5 - 8/5*i**3 - 44/5*i**2 = 0. What is i?
-3, -1, 1, 2
Let d be 20/(-16)*(-6)/(-15)*-122. Factor -21*q**3 - 17 + 101*q**2 + 29 - d*q + 56*q**4 - 35*q**3 - 52*q**4.
(q - 12)*(q - 1)*(2*q - 1)**2
Let a(b) be the third derivative of -b**6/960 + 83*b**5/240 - 491*b**4/192 + 163*b**3/24 + 1886*b**2. Factor a(y).
-(y - 163)*(y - 2)*(y - 1)/8
Suppose 5*q = -4*j - 74, -5*q + 0*j + j = 94. Let g be ((-6)/(-18))/(-1)*q. Factor -5*f**2 - 2*f**2 - 4*f - f**2 + 6*f**2 + g.
-2*(f - 1)*(f + 3)
Let k = 58 - 55. Suppose 35*w**4 - 95*w**2 + 20 - 60*w + 23*w**3 + 40*w**2 + 59*w**k - 22*w**3 = 0. What is w?
-2, -1, 2/7, 1
Let k = -778 - -62243/80. Let r(z) be the second derivative of 0 - 1/8*z**3 + k*z**5 + 3/4*z**2 - 10*z - 1/8*z**4. Solve r(d) = 0 for d.
-1, 1, 2
Factor -285*a**3 + 184*a**3 + 2*a**4 + 107*a**3 - 36*a**2.
2*a**2*(a - 3)*(a + 6)
Suppose -w = -0 - 5. Suppose 0*p + p = w. Factor l**3 - 3*l**2 + l**5 + 2*l**2 + l**4 - 2*l**p + 0*l**2.
-l**2*(l - 1)**2*(l + 1)
Let p = 31 + -31. Suppose 2*t - 39 = -2*t + v, 2*t + 4*v - 24 = p. Factor -5*l**3 - 20*l - 24*l - 20*l**2 + 19*l - t.
-5*(l + 1)**2*(l + 2)
Let a(y) be the second derivative of 0*y**3 - 1/5*y**5 - 1 + 8*y - 25/3*y**4 + 0*y**2. Factor a(l).
-4*l**2*(l + 25)
Suppose 3*b + 5*j = -21, -27 = 4*b - 2*b - j. Let h be 0/((3 + b)/3 + 2). Factor o**3 + h*o**3 - 14*o + 7*o + 6.
(o - 2)*(o - 1)*(o + 3)
Let q(t) be the third derivative of t**5/15 + 59*t**4/6 - 124*t**3 - 2084*t**2. Let q(r) = 0. Calculate r.
-62, 3
Let w(c) be the first derivative of c**4/20 - 8*c**3/3 - 83*c**2/10 - 42*c/5 + 1567. Let w(q) = 0. Calculate q.
-1, 42
Let p = -371 - -390. Suppose 0*f - 2*f = -p*f. Factor f - 6*j + 3/4*j**2.
3*j*(j - 8)/4
Let z(q) be the third derivative of 29/240*q**5 - 7/960*q**6 + 0*q - 3/8*q**3 + 16*q**2 + 47/192*q**4 + 0. Suppose z(o) = 0. What is o?
-1, 2/7, 9
Let c(j) = 12*j**2 - 6*j. Let o(k) = -k. Suppose -92 = 14*g - 18*g. Let p = -27 + g. Let n(l) = p*o(l) + c(l). Determine d so that n(d) = 0.
0, 1/6
Let s(v) be the second derivative of -v**6/195 - v**5/130 + 7*v**4/13 + 3*v - 230. Factor s(o).
-2*o**2*(o - 6)*(o + 7)/13
Let p(o) be the first derivative of 2*o**3/3 + o**2 - 130. Factor p(m).
2*m*(m + 1)
Suppose 2607*f - 2606*f = -4*u + 39, -3*f = -4*u + 27. Factor -18*t + 15*t**2 - 36 - 17/6*t**f + 1/6*t**4.
(t - 6)**3*(t + 1)/6
Let d(j) be the first derivative of 20/13*j + 2/39*j**3 + 7/13*j**2 - 122. Factor d(h).
2*(h + 2)*(h + 5)/13
Let a(y) = -11 - 4*y - 5*y**2 + y - 19 - 2*y. Let i(g) = 1. Let n(l) = a(l) + 30*i(l). Suppose n(v) = 0. Calculate v.
-1, 0
Let b(w) be the third derivative of -w**5/60 - 73*w**4/3 - 42632*w**3/3 - 1670*w**2. Suppose b(u) = 0. What is u?
-292
Let n(g) be the first derivative of -g**6/18 - 82*g**5/15 - 40*g**4/3 + 2*g**3/9 + 161*g**2/6 + 80*g/3 - 201. What is w in n(w) = 0?
-80, -1, 1
Let i(h) be the first derivative of 0*h**3 - 17 - 1/39*h**6 - 49/26*h**4 + 0*h**2 + 28/65*h**5 + 0*h. Factor i(j).
-2*j**3*(j - 7)**2/13
Let y be (-904)/(-14238)*(-180)/(-80). Factor -85184/7 - 132/7*c**2 + y*c**3 + 5808/7*c.
(c - 44)**3/7
Solve -166*p**3 + 327*p + 49*p - 10708*p**4 + 72*p**2 + 128 + 10718*p**4 = 0.
-1, -2/5, 2, 16
Let s(y) = 14*y + 240. Suppose 0 = -4*o - 8, o + 41 - 5 = -2*c. Let r be s(c). Factor 3/10*l**3 + 1/10*l**4 + 0 - 1/10*l**r - 3/10*l.
l*(l - 1)*(l + 1)*(l + 3)/10
Let n = -35118 - -35122. Factor -4/5*c**n + 16/5*c**2 + 0 + 0*c - 12/5*c**3.
-4*c**2*(c - 1)*(c + 4)/5
Let 5*x**2 + 392200 - 54364*x + 1049645 + 27052*x + 32682*x = 0. Calculate x.
-537
Let s = -1544 + 1544. Let b(r) be the second derivative of -3/28*r**5 + 0 + 1/70*r**6 + 0*r**3 + 14*r + s*r**2 + 1/7*r**4. Let b(p) = 0. Calculat