ppose -61 + 55 = -3*c. Factor -c*x + 29*x + 195*x - 3*x**2 - 219.
-3*(x - 73)*(x - 1)
Let -2658*t + 378*t**4 + 499 + 226 - 4713*t**2 - 1356*t**3 + 297*t**4 - 701 = 0. Calculate t.
-1, 2/225, 4
Let v(j) = j. Let y(x) = -2*x**3 - 12*x**2 - 20*x - 8. Suppose i - 7 = 3*g, 17*g - 14*g = -i + 1. Let k(w) = i*v(w) + 2*y(w). Factor k(t).
-4*(t + 1)**2*(t + 4)
Let i be (-35104)/(-14080) + 10/(-8)*2. Let d = i - -113/440. Factor -7/8*p**2 + 1/8*p**5 + 9/8*p**3 + 0 + d*p - 5/8*p**4.
p*(p - 2)*(p - 1)**3/8
Let i(v) be the third derivative of 0*v - 3*v**3 - 121*v**2 + 0 + 1/6*v**5 - 1/120*v**6 - 7/24*v**4. Factor i(l).
-(l - 9)*(l - 2)*(l + 1)
Let h = -82912 + 82912. Factor 0*y + 0 + 2/9*y**4 + 2/9*y**5 + 0*y**2 + h*y**3.
2*y**4*(y + 1)/9
Factor 5885*l + l**3 + l**3 - 15478 - 185*l**2 - 7*l**3 - 12094 - 8123.
-5*(l - 11)**2*(l + 59)
Let b(m) be the first derivative of -2*m**6/15 - 4*m**5/25 + 6*m**4/5 - 8*m**3/15 - 2*m**2 + 12*m/5 - 1720. Suppose b(c) = 0. Calculate c.
-3, -1, 1
Let b(c) be the third derivative of 0 + c**2 + 10/27*c**3 + 1/270*c**5 - 33*c - 11/108*c**4. Factor b(a).
2*(a - 10)*(a - 1)/9
Let v(m) = 2398*m - 43161. Let c be v(18). Suppose -9/8 + 3*r - 9/4*r**2 + 0*r**c + 3/8*r**4 = 0. Calculate r.
-3, 1
Let b(u) be the second derivative of u**7/42 + 104*u**6/15 + 10383*u**5/20 - 11501*u**4/3 - 28090*u**3/3 + 2352*u. Factor b(i).
i*(i - 5)*(i + 1)*(i + 106)**2
Let j(h) be the first derivative of -h**6/9 + 4*h**5/5 + 13*h**4/6 - 292*h**3/9 + 96*h**2 - 320*h/3 - 7138. What is y in j(y) = 0?
-5, 1, 2, 4
Let s be -26*(3 - (-1)/(3/(-33))). Solve 4*v**3 - 166*v + 76*v**2 + s + 769 - 209 + 614*v = 0.
-8, -3
Let j be (-3 - 14/6)*(-15)/10. Suppose 0 = -n - 3*w + j, -n = -7*w + 3*w - 22. Solve 12*m + 3*m**3 + n*m**2 + 0*m**3 + 9*m**4 - 38*m**2 = 0.
-2, 0, 2/3, 1
Let v be (-2 + 32)*(50 + -48). What is m in 258 + 38*m**2 + 768*m + 30 - 36*m**3 + 10*m**4 - v*m**3 + 4*m**2 + 38*m**2 = 0?
-2, -2/5, 6
What is b in 0 + 0*b - 1595*b**3 + 5/4*b**5 - 1600*b**2 - 395*b**4 = 0?
-2, 0, 320
Let m = -19 + 19. Suppose 3*l + 5*d - 21 = 8, 3*d - 9 = l. Factor m + 4/13*b**2 - 6/13*b + 2/13*b**l.
2*b*(b - 1)*(b + 3)/13
Let p(n) be the third derivative of -29*n**2 + 0 + 1/36*n**4 + 0*n + 0*n**3 + 1/900*n**6 - 1/75*n**5. Solve p(q) = 0 for q.
0, 1, 5
Let w = 384 + -381. Let r(n) = -n**3 - 2*n + 1. Let v(m) = -m**4 - 4*m**3 + 9*m**2 - 19*m + 5. Let d(x) = w*v(x) - 15*r(x). Factor d(k).
-3*k*(k - 3)*(k - 1)*(k + 3)
Suppose 8*j + 7 - 71 = -21*j - 3*j. Let 2/19*a**5 - 8/19*a + 4/19*a**4 + 0 - 6/19*a**3 - 16/19*a**j = 0. What is a?
-2, -1, 0, 2
Let a = -99 + 101. Determine o, given that -8*o + 7*o**2 + 5*o**2 - 17*o**2 + 7*o**a = 0.
0, 4
Let 2755*h + 80*h**2 + 4*h**3 - 1024*h - 995*h - 912*h = 0. What is h?
-22, 0, 2
Let c(n) be the third derivative of 0*n + 1/25*n**5 - 1/25*n**6 - 1/50*n**7 - 98*n**2 + 0*n**3 + 1/112*n**8 + 0*n**4 + 0. Suppose c(p) = 0. What is p?
-1, 0, 2/5, 2
Let k = 5 + -50. Let l = -40 - k. Solve -2*v**3 + 2*v**l - 4*v**3 + 4*v**2 - 2*v**3 + 2*v**3 = 0 for v.
-2, 0, 1
Let t = -216 - -178. Let w be -40 - t - 9/(-2). Factor 15/2*n - w*n**2 + 10.
-5*(n - 4)*(n + 1)/2
Suppose 97 = 4*o - h, 0 = -o - h + 27 + 1. Determine y so that 14 + 2 - 2*y**2 - 30*y - o*y + 57*y - 4 = 0.
-2, 3
Let s(k) be the second derivative of 3*k**5/4 + 175*k**4/12 - 40*k**3/3 - 221*k**2/2 - 177*k. Let l(h) be the first derivative of s(h). Factor l(f).
5*(f + 8)*(9*f - 2)
Factor -53361*l - 54286*l**3 + 2*l**5 + 107184*l**2 - 3*l**5 - 3426*l**4 + 3890*l**4.
-l*(l - 231)**2*(l - 1)**2
Let f = 5783/3580 - 727/716. Let -18/5 - 33/5*d - f*d**3 - 18/5*d**2 = 0. Calculate d.
-3, -2, -1
Let m(a) be the first derivative of -a**6/72 - 19*a**5/24 - 15*a**4/4 + 157*a**3/3 + 50. Let p(f) be the third derivative of m(f). Factor p(o).
-5*(o + 1)*(o + 18)
Let c(h) = -4*h**2 + 11752*h - 8620112. Let b(q) = -8*q**2 + 23502*q - 17240220. Let a(t) = -4*b(t) + 7*c(t). Determine p, given that a(p) = 0.
1468
Suppose 9 = 3*h - x, 7*x - 10*x = 0. Factor -12 - 45*c**h - 3*c**4 - 36*c + 59*c**3 - 53*c**2 + 14*c**2 - 32*c**3.
-3*(c + 1)**2*(c + 2)**2
Solve 28182*d - 49/8*d**5 - 27829*d**3 + 4356 + 3269/4*d**4 + 37258*d**2 = 0 for d.
-2/7, 2, 66
Let d(c) be the third derivative of -c**7/840 - c**6/60 + 3*c**5/16 - 3*c**4/8 - 1476*c**2. Let d(n) = 0. What is n?
-12, 0, 1, 3
Let f(n) be the third derivative of n**7/1575 - n**6/180 - 41*n**5/450 + n**4/4 - 3445*n**2. Factor f(u).
2*u*(u - 9)*(u - 1)*(u + 5)/15
Suppose 192 + 1016/5*b + 46/5*b**3 + 352/5*b**2 + 2/5*b**4 = 0. What is b?
-10, -8, -3, -2
Let d(m) be the third derivative of -1/140*m**5 - 2*m - 6*m**2 + 0 - 3/7*m**3 + 5/56*m**4. Find z, given that d(z) = 0.
2, 3
Let d(r) = 3*r**3 + 995*r**2 - 1035*r + 517. Let n(o) = -7*o**3 - 1783*o**2 + 2069*o - 1035. Let u(a) = -5*d(a) - 3*n(a). Solve u(y) = 0.
-65, 2/3, 2
Let y = -8127 - -8130. Let l(h) be the first derivative of 1/2*h**4 + 4/3*h**y + 0*h - 3*h**2 + 24. Determine g so that l(g) = 0.
-3, 0, 1
Suppose -108 = -32*a + 23*a. Find j such that -j**2 + 0*j**4 - 12*j - a*j**4 + 19*j**2 + 14*j**3 + 16*j = 0.
-1/2, -1/3, 0, 2
Let k = -679 - -682. Solve -58*s**2 + 28*s + 84*s - 60 + 7*s - 645*s**k + 644*s**3 = 0.
-60, 1
Suppose 19266 = -2*c - a + 19294, 3*c = 2*a - 21. Let 9/7*g**c - 24/7*g**3 + 0 + 3/7*g**4 + 0*g + 12/7*g**2 = 0. Calculate g.
-2, 0, 2/3, 1
Let j(r) = 3*r**2 + r + 2. Let z(h) = 80*h**4 - 648*h**3 + 35*h**2 + 84*h - 28. Let m(d) = 6*j(d) + z(d). Factor m(v).
(v - 8)*(4*v - 1)**2*(5*v + 2)
Let u(g) = -g**3 + 149*g**2 - 241*g - 7791. Let y be u(147). Factor y - 2/5*d**2 - 14/5*d.
-2*d*(d + 7)/5
Factor -24367500*c + 86*c**3 - 11574562500 - 17100*c**2 + 98*c**3 - 188*c**3.
-4*(c + 1425)**3
Let s be (18/(-12))/((9/4)/(-3)). Let 7*y**s - y**2 + 100 - 13*y**2 + 0*y**2 + 2*y**2 - 40*y = 0. What is y?
-10, 2
Let w(k) be the first derivative of k**3/9 - 3254*k**2/3 + 10588516*k/3 + 10178. Factor w(r).
(r - 3254)**2/3
Factor 369/4*z - z**3 - 291/4*z**2 - 37/2.
-(z - 1)*(z + 74)*(4*z - 1)/4
Solve 148*u - 127*u + u**3 - 50*u**2 + 28*u = 0.
0, 1, 49
Let g be (-4660)/932 - (-61)/9. Find d, given that -g*d + 0 + 4*d**2 = 0.
0, 4/9
Let y(k) be the third derivative of -1/280*k**6 + 0*k + 3/7*k**3 + 2*k**2 + 7 + 3/70*k**5 - 11/56*k**4. Find s, given that y(s) = 0.
1, 2, 3
Suppose 58/7*b**2 + 40/7*b + 15/7*b**3 + 0 - 4/7*b**4 - 1/7*b**5 = 0. Calculate b.
-5, -2, -1, 0, 4
Factor -3/4*g**3 - 324*g + 117/4*g**2 + 729.
-3*(g - 18)**2*(g - 3)/4
Suppose 3*r - 128 = 5*m, 0 = -4*m - r - 2*r - 97. Let c = 25 + m. Suppose 0 - 1/7*x**2 + c*x - 1/7*x**3 = 0. What is x?
-1, 0
Let i(s) = 251*s + 769. Let a be i(-3). Let r = 1 - -4. Determine g, given that 3*g**5 - a*g**2 - 2*g**3 - 2*g**3 + 12*g**2 + r*g**4 = 0.
-2, -2/3, 0, 1
Let s(g) be the first derivative of 3*g**5/20 - 99*g**4/4 - 3*g**3/4 + 591*g**2/4 + 198*g - 2462. Determine q, given that s(q) = 0.
-1, 2, 132
Factor -13*t**2 - 4*t**2 - 7699 + 13*t**2 - 228497 - 1944*t.
-4*(t + 243)**2
Suppose -477*f = -472*f - 10. Factor 9*g**3 - 9*g**3 + 1275 - 110*g**f + 5*g**3 + 480*g + 165.
5*(g - 12)**2*(g + 2)
Let s = 1510 - 1497. Suppose -7*r + 15 = -4*r - 3*a, r - 5*a - s = 0. Suppose -8/5 - 2/5*n**r + 0*n + 6/5*n**2 = 0. Calculate n.
-1, 2
Let c(w) be the second derivative of 1/20*w**5 + 0*w**2 - 2*w**3 + 111*w + 11/12*w**4 + 0. Factor c(x).
x*(x - 1)*(x + 12)
Let l(j) be the third derivative of 2*j**7/105 + j**6/10 - 2*j**5/3 + j**2 + 9*j + 2. Factor l(v).
4*v**2*(v - 2)*(v + 5)
Let a be ((-1404)/240)/(-9*3/(-2952)). Let n = 640 + a. Suppose 1/5 - 2/5*k - 1/5*k**4 + 0*k**2 + n*k**3 = 0. What is k?
-1, 1
Let w(r) = -367*r**5 + 9211*r**4 - 3316*r**3 + 296*r**2. Let a(y) = -1100*y**5 + 27632*y**4 - 9947*y**3 + 889*y**2. Let i(t) = 4*a(t) - 11*w(t). Factor i(h).
-3*h**2*(h - 25)*(11*h - 2)**2
Let s be 9/(-21) - (-14160)/4130. Suppose -33/7*u**4 - 3/7 + 6*u**s - 36/7*u**5 + 36/7*u**2 - 6/7*u = 0. What is u?
-1, -1/4, 1/3, 1
Let p(o) be the first derivative of -1/3*o**3 + 7/10*o**5 - 137 - 5/4*o**4 - 1/12*o**6 + 11/4*o**2 - 5/2*o. Factor p(l).
-(l - 5)*(l - 1)**3*(l + 1)/2
Solve -1012 + 335 - 868 + 3*a**2 + 336 - 351 + 18*a = 0 for a.
-26, 20
Let 31107*u**4 - u**2 - 44*u**5 + 128*u**3 - 31017*u**4 - 5*u**2 = 0. Calculate u.
-1, 0, 1/22, 3
Let z be (-5 + -1)*44/(-11). Factor 5*f**4 - f