).
-2*q*(q - 2)*(q - 1)*(q + 4)/3
Let i = -120789 - -362368/3. Factor -i*y**2 - 2/3 - y.
-(y + 1)*(y + 2)/3
Let t(k) = -3*k**3 - 4400*k**2 + 6394800*k - 3112136004. Let u(r) = -4*r**3 - 4405*r**2 + 6394800*r - 3112136005. Let p(f) = 5*t(f) - 4*u(f). Factor p(a).
(a - 1460)**3
Let p be (-44)/(-2)*(-20)/(-22). Let m(n) be the first derivative of -11/2*n**2 - 5*n - 1/4*n**4 - 7/3*n**3 - p. Factor m(d).
-(d + 1)**2*(d + 5)
Let u be ((-42)/20)/7*(0 - 4). Let w = 2659 + -13283/5. What is g in 9/5*g**3 - 3/5*g**5 - 12/5*g + u*g**4 + 0 - w*g**2 = 0?
-1, 0, 2
Let z(g) be the second derivative of 0*g**2 + g + 0*g**3 + 0*g**5 - 1/231*g**7 - 2/33*g**4 + 1/55*g**6 + 7. Let z(q) = 0. Calculate q.
-1, 0, 2
Factor 0*w + 2/3*w**3 + 0 - 106/3*w**2.
2*w**2*(w - 53)/3
Let t = -735 - -1373. Suppose 4*q = -2*h - 8, h - 3*q = -4*q. Factor 623*l**4 - 4*l**3 - t*l**h + 20*l**2 + 5*l**5 + 4*l**3.
5*l**2*(l - 2)**2*(l + 1)
Let a(o) be the second derivative of 0*o**2 + 7/2*o**3 + 20*o + 0 - 1/12*o**4 - 1/120*o**5 + 1/360*o**6. Let c(m) be the second derivative of a(m). Factor c(r).
(r - 2)*(r + 1)
Let w be 84/144*(-2 - -6). Factor 13/3*l + 1/3*l**4 - w*l**2 - 2 - 1/3*l**3.
(l - 2)*(l - 1)**2*(l + 3)/3
Let o(z) be the third derivative of 0*z + 0*z**5 - 5/112*z**8 + 1/6*z**7 + 0*z**3 + 0*z**4 - 113*z**2 + 0 - 1/12*z**6. Factor o(j).
-5*j**3*(j - 2)*(3*j - 1)
Suppose 0 = 15*b - 83 - 277. Suppose -b*z + 19*z = 0. Factor 0*w + 0*w**2 + z - 4/3*w**3.
-4*w**3/3
Let r(w) be the first derivative of -w**6/540 - 11*w**5/180 - 2*w**3/3 - 19*w**2/2 - 127. Let c(v) be the third derivative of r(v). Factor c(q).
-2*q*(q + 11)/3
Suppose -33*u = -152*u - 19*u + 1380. Let q(h) be the first derivative of -u*h - 5/4*h**4 - 15*h**5 + 38 + 5/2*h**2 + 85/3*h**3. Let q(m) = 0. What is m?
-1, -2/5, 1/3, 1
Let w(b) be the first derivative of 7*b**4/18 - 2*b**3 - 3*b**2 + 85*b - 241. Let x(q) be the first derivative of w(q). What is m in x(m) = 0?
-3/7, 3
Let m(k) = k + 12. Let f be m(-10). Find l such that 80*l**3 + 40*l**f - 120 + 5*l**5 + 98 - 58 + 35*l**4 - 118*l + 38*l = 0.
-2, 1
Let h be 18/8*2/12. Suppose 4*j + 20 = -2*x, 9*x - 3*j - 183 = -147. Factor -3/4*c**x + h*c**3 + 3/8*c + 0.
3*c*(c - 1)**2/8
Let w(v) be the first derivative of 2*v**3/51 + 1242*v**2/17 + 771282*v/17 + 9750. Factor w(b).
2*(b + 621)**2/17
Let g = 504/937 + 7858/2811. Determine r, given that 4/3*r - 1/3*r**3 - 1/3*r**4 + g*r**2 - 8 = 0.
-3, -2, 2
Let x(u) = -6*u**3 + 80*u**2 + 4*u - 388. Let k be x(13). Determine s, given that 3/2*s**k + 0 + 63/2*s = 0.
-21, 0
Let u be 138/(-621) - 156/(-135). Let p(q) be the second derivative of -11/12*q**4 + 14/9*q**3 - 2/3*q**2 + 11*q - u*q**5 + 0 - 8/45*q**6. Factor p(r).
-(r + 2)**2*(4*r - 1)**2/3
Factor c**2 - 1467*c + 11160180 - 7231*c - 3590*c - 2652*c + 4*c**2.
5*(c - 1494)**2
Let t(u) be the second derivative of -u**7/21 + u**6 - 5*u**5 + 157*u + 2. Determine x, given that t(x) = 0.
0, 5, 10
Let f(c) = -c**2 + 76*c - 865. Let t be f(14). Let g(m) be the first derivative of -t*m**2 + 9 - 1/3*m**3 - 9*m. Determine r, given that g(r) = 0.
-3
Find c such that 102*c**4 - 204*c**3 - 1074*c**2 + 1164*c**2 + 25*c - 15*c**5 + 2*c = 0.
-1/5, 0, 1, 3
Let n(y) = y**2 - 19*y + 20. Let m be n(18). Factor -80*i - 4*i**m - 16*i**2 + 40 + 44*i - 119*i.
-5*(i + 8)*(4*i - 1)
Let w(t) be the second derivative of 3*t**5/160 - 7*t**4/32 - t**3/2 - 1106*t. Factor w(g).
3*g*(g - 8)*(g + 1)/8
Let f(y) be the second derivative of -y**7/252 - 7*y**6/90 - 13*y**5/120 - 2180*y. Suppose f(c) = 0. What is c?
-13, -1, 0
Factor -2/15*q**5 - 15464/15*q**3 + 0 - 4416*q**2 - 67712/15*q + 24*q**4.
-2*q*(q - 92)**2*(q + 2)**2/15
Find w such that -6/5 + 122/5*w - 197/10*w**2 + 39/10*w**3 = 0.
2/39, 2, 3
Determine c so that -18*c**2 - 124*c**3 + 162 - 18*c + 378*c**3 + 0 - 120*c**3 - 132*c**3 = 0.
-3, 3, 9
Let d(w) be the second derivative of w**5/220 - 37*w**4/132 + 76*w + 16. Factor d(n).
n**2*(n - 37)/11
Suppose -3*t - 3*s = 0, -2*s - 3 - 3 = -t. Factor -2*b - 27*b**2 - 20*b + 31*b**t - 6*b.
4*b*(b - 7)
Let t(j) be the second derivative of -j**5/5 - 17*j**4/3 + 92*j**3 - j + 1807. Factor t(w).
-4*w*(w - 6)*(w + 23)
Let u(s) = 2*s**2 - 8*s + 8. Let m(z) = -42*z - 165. Let q be m(-4). Let t be u(q). What is y in 0 - 2*y - 2/3*y**t = 0?
-3, 0
Let c = 1259 - 1249. Suppose 13 - c = w. Factor -3/2*d**w + 0 + 3*d - 3/2*d**2.
-3*d*(d - 1)*(d + 2)/2
Let m(w) = 95*w**5 + 205*w**4 + 205*w**3 - 35*w**2 + 35. Let d(t) = 8*t**5 + 17*t**4 + 17*t**3 - 3*t**2 + 3. Let f(u) = 35*d(u) - 3*m(u). Factor f(x).
-5*x**3*(x + 2)**2
Let p(u) = -12*u**2 + 5560*u - 1943236. Let f(o) = -o**2 - 2*o. Let r(w) = -8*f(w) + p(w). Factor r(n).
-4*(n - 697)**2
Let r(l) be the second derivative of 7*l**6/10 - 153*l**5/20 + 91*l**4/4 - 57*l**3/2 + 15*l**2 - 1549*l. Factor r(s).
3*(s - 5)*(s - 1)**2*(7*s - 2)
Let b(w) be the second derivative of -w**6/90 - 13*w**5/6 - 4597*w**4/36 - 4030*w**3/3 - 5766*w**2 + 364*w - 1. Factor b(i).
-(i + 3)**2*(i + 62)**2/3
Suppose 48*v + 21 = 3*i + 47*v, -21 = 5*i + 3*v. Factor 7/3*w + 1/3*w**2 - 1/3*w**4 - 7/3*w**i + 0.
-w*(w - 1)*(w + 1)*(w + 7)/3
Let f be (0 + 0)/(135 - 132). Let 3/5*d**3 + 0 - 1/5*d**5 + 0*d**4 + f*d + 2/5*d**2 = 0. What is d?
-1, 0, 2
Let f(g) be the third derivative of -g**6/60 - 43*g**5/30 + 49*g**4/6 + 120*g**3 + 2*g**2 + 3752*g. Factor f(h).
-2*(h - 4)*(h + 2)*(h + 45)
Let n(s) be the second derivative of s**5/12 - 55*s**4/6 + 1210*s**3/3 - 16*s**2 + 3*s + 6. Let l(t) be the first derivative of n(t). Factor l(g).
5*(g - 22)**2
Let h(c) = 5*c**2 - 2*c - 9. Let k be h(-3). Let z = 106 - k. Factor -160*v + 20*v**4 + 0*v**4 - 30*v**3 - 2*v**5 + 160*v**2 - 50*v**3 + z.
-2*(v - 2)**5
Let s = 8 + -6. Let a(o) = 7*o - o**2 - 21*o + 1 + 35*o - 20*o. Let g(c) = c**3 - 3*c**2 - 3*c - 1. Let w(u) = s*a(u) - g(u). What is r in w(r) = 0?
-1, 3
Let w = -145673 + 145676. Factor -27/4 + 27/2*o + 7/4*o**4 + 9*o**2 - 19/2*o**w.
(o - 3)**2*(o + 1)*(7*o - 3)/4
Let -6624*k + 20138*k + 1860500 + 5*k**2 - 7414*k = 0. What is k?
-610
Let v be 5/1 - 1978/14. Let c = -126 - v. Suppose -4/7*y**3 + 16/7*y**2 + 12/7*y - c = 0. What is y?
-2, 3
Let k(h) be the second derivative of -h**4/18 - 13*h**3/9 - 10*h**2 - 841*h + 2. Solve k(q) = 0 for q.
-10, -3
Suppose -10894*m + 10890*m - 5 = -z, 3*m - 5*z = -59. Determine t, given that -3/2*t**m - 27/2*t + 0 = 0.
-9, 0
Let a(h) = -77*h**2 - 2660*h - 21902. Let l(r) = 152*r**2 + 5318*r + 43803. Let n(j) = -5*a(j) - 2*l(j). Factor n(m).
(9*m + 148)**2
Let g(v) be the second derivative of -v**7/63 + 7*v**6/45 - 13*v**5/30 - v**4/6 + 2*v**3 + 3*v - 60. Find q, given that g(q) = 0.
-1, 0, 2, 3
Let h(i) be the second derivative of -i**5/240 + i**4/48 + 65*i**3/36 + 14*i**2 + 2169*i - 1. Factor h(l).
-(l - 14)*(l + 3)*(l + 8)/12
Let d(l) = -4*l**5 - 104*l**4 - 60*l**3 - 40*l**2 + 20. Let x(h) = h**4 - h**3 + 2*h**2 - 1. Let s(r) = d(r) + 20*x(r). Factor s(w).
-4*w**3*(w + 1)*(w + 20)
Let n be ((-516)/24)/((-2)/4). Suppose 2*w**4 + 8*w - 14*w**2 + n*w - 12 - 25*w - 2*w**3 = 0. What is w?
-3, 1, 2
Let x(h) = h + 15. Let s(i) = -4*i**2 - 430*i - 870. Let y(q) = s(q) + 2*x(q). Factor y(f).
-4*(f + 2)*(f + 105)
Find u, given that 27/2*u**4 + 52767/2*u**2 + 5547 - 2355/2*u**3 - 61533/2*u = 0.
2/9, 1, 43
Let u be -14 - (-68)/17 - (-3 + 3 - 12). Find y, given that -1/2*y**3 + 15 - u*y**2 + 11/2*y = 0.
-5, -2, 3
Let z = 393/70 - 73/14. Let n(h) be the second derivative of 0 + 7*h - 1/25*h**5 + 1/5*h**4 - 2/5*h**3 + z*h**2. Factor n(a).
-4*(a - 1)**3/5
Let b(w) = 6*w - 2. Let q be b(2). Suppose -q*v + 26 = -4. Factor -v*r**2 + 13*r**2 + r**2 - 35 - 6*r**2 + 30*r.
5*(r - 1)*(r + 7)
Let p(k) be the third derivative of k**8/3360 + k**7/210 + k**6/72 - 5*k**4/8 + k**3/3 + 85*k**2. Let l(s) be the second derivative of p(s). Factor l(q).
2*q*(q + 1)*(q + 5)
Let 2/17*u**3 - 52/17*u**2 - 54/17*u + 0 = 0. What is u?
-1, 0, 27
Let v(a) = -a**2 + 96*a - 190. Let s(z) = -12*z**2 + 1152*z - 2281. Let w(t) = 2*s(t) - 25*v(t). Determine j so that w(j) = 0.
2, 94
Let j = 23233 - 23231. What is w in -7/6*w**j - 1/6*w**3 - 8/3*w - 2 = 0?
-3, -2
Let r = 591 - 586. Suppose -2*j = r*v - 19, 0*v + 4*j = v + 5. What is s in 5/2 + 1/2*s**2 - v*s = 0?
1, 5
Suppose 424/13*w - 46/13*w**3 + 2/13*w**4 + 24/13*w**2 + 