552*y**3/5 - 171396*y**2/5 - 10356. Factor i(r).
-2*r*(r - 414)**2/5
Let g(r) be the first derivative of r**4/8 + 4297*r**3/2 + 55392627*r**2/4 + 79340706073*r/2 + 8439. Factor g(n).
(n + 4297)**3/2
Factor -2/9*w**4 - 4/3*w**3 + 0 + 4/3*w + 2/9*w**2.
-2*w*(w - 1)*(w + 1)*(w + 6)/9
Let i be (-1)/6 + ((-2775)/(-18) - 9). Let -387*n - 11*n**3 + i*n**2 - 15*n**3 - 588*n - 1125 + 21*n**3 = 0. Calculate n.
-1, 15
Let k(r) be the first derivative of r**7/3360 + r**6/96 + 19*r**5/240 + r**4/4 + 128*r**3/3 + 99. Let m(y) be the third derivative of k(y). Factor m(d).
(d + 1)*(d + 2)*(d + 12)/4
Let v(d) be the second derivative of d**6/15 + 57*d**5/10 - 84*d**4 + 1040*d**3/3 + 9297*d. Factor v(c).
2*c*(c - 4)**2*(c + 65)
Let u be (2/(-10))/1 - (-15 + (-45168)/(-3060)). Let g(j) be the first derivative of 10 + 0*j + 0*j**2 + u*j**3. Factor g(h).
2*h**2/17
Let v(a) = -a - 3. Let r be v(-5). Let d = -945136 - -945136. Factor d*q - 2/17*q**r + 0.
-2*q**2/17
Let k be -4 + (-13)/(26/(-12)). Let w be ((-24)/4)/(6/(-6)). Let g(c) = -c**2 + 1. Let j(t) = -4*t**3 + 5*t**2 - 3. Let l(o) = k*j(o) + w*g(o). Factor l(m).
-4*m**2*(2*m - 1)
Let n(h) = h**2 + 12*h + 25. Let o be n(-2). Solve 10 - 3*k**o + 8*k**5 - 20*k**2 + 16*k - 10*k**3 + 9*k**4 + k**4 - 11*k = 0.
-2, -1, 1
Solve -368 + 5*y**3 + 800*y - 837 - 30 - 389 + 184 - 130*y**2 = 0 for y.
4, 18
Let u(x) = x**3 - 6*x**2 + 9*x + 14. Let j be u(5). Suppose j*w + 1 = 69. Factor -5/4*k**w + 1/4 + 3/4*k**3 + 1/4*k.
(k - 1)**2*(3*k + 1)/4
Let q(k) be the first derivative of 0*k - 1/10*k**5 - 1/36*k**6 + 0*k**2 - 1/8*k**4 - 97 - 1/18*k**3. Factor q(g).
-g**2*(g + 1)**3/6
Let x be ((-24)/162)/(17/612*-6). Factor -4/9*k**3 - 8/3*k**2 + 0 + 2/9*k**5 + x*k**4 + 2*k.
2*k*(k - 1)**2*(k + 3)**2/9
Let q(t) be the second derivative of -23*t**6/30 + 91*t**5/10 + 13*t**4/4 - 91*t**3/3 - 8*t**2 - 2898*t. Find j, given that q(j) = 0.
-1, -2/23, 1, 8
Let i(b) be the first derivative of b**4/24 + b**3/6 - 74*b + 61. Let o(f) be the first derivative of i(f). Factor o(w).
w*(w + 2)/2
Let q(k) = -k**2 + 1. Let z(m) = 8*m**2 - 395*m + 123*m - 1808 + 6428. Let g(f) = 4*q(f) + z(f). Suppose g(h) = 0. What is h?
34
Let w(a) = 16*a**2 - 1068*a + 428. Let i(n) = 15*n**2 - 1063*n + 427. Let r(y) = 4*i(y) - 5*w(y). Determine c, given that r(c) = 0.
2/5, 54
Let q(m) = 7*m**2 - 105*m + 3. Let i be q(15). Factor -3*v**2 + 8 + i + 1.
-3*(v - 2)*(v + 2)
Find l, given that 3090*l**3 - 6336*l - 453*l**4 - 521*l**4 - 13944*l - 588*l**4 + 1307*l**4 + 4940*l**2 + 5*l**5 = 0.
-3, 0, 2, 26
Let q be -11 + 5 - (-621)/45*(-22)/(-33). Determine j, given that q*j**2 + 121/5 + 88/5*j = 0.
-11/4
Let x(q) = -3*q**3 - q**2 + 4*q + 4. Suppose 0 = -0*m - 3*m - 42. Let l(a) = 10*a**3 + 2*a**2 - 11*a - 10. Let z(y) = m*x(y) - 4*l(y). Factor z(f).
2*(f - 2)*(f + 1)*(f + 4)
Let l be (-64)/(-18) + 4/(-18). Let u = -6840 + 6844. Suppose 2*q**2 - 8/3*q - 2/3*q**5 + 0 - 2*q**u + l*q**3 = 0. Calculate q.
-4, -1, 0, 1
Let c(i) be the third derivative of i**7/175 - 11*i**6/600 + i**5/60 - 604*i**2 - 2*i. Factor c(u).
u**2*(u - 1)*(6*u - 5)/5
Suppose 4*g = -2*w - 2 + 12, 5*g + 4 = 3*w. Factor -15*c**3 + 19*c**2 + 3*c**4 - w*c + c**5 - 3*c - 2*c**2.
c*(c - 1)**3*(c + 6)
Let a(b) be the third derivative of b**6/160 - 303*b**5/10 + 61206*b**4 - 65939264*b**3 + 146*b**2 + 2. Factor a(h).
3*(h - 808)**3/4
Let h be 10/(-6)*(-198)/110. Find a such that -14*a**h + 4*a**2 + 8*a**3 + 2*a**2 - 4*a**2 - 2*a**5 + 6*a**4 = 0.
0, 1
Factor 0 + 1/2*w**2 + 3/4*w**3 + 0*w.
w**2*(3*w + 2)/4
Let w = -2701/18 + 1688/9. Let y(u) be the first derivative of 2*u + w*u**3 - 15*u**2 + 10. Factor y(n).
(15*n - 2)**2/2
Let y(n) = n**2 - 6*n + 20. Let c be y(10). Let d = 67 - c. Suppose 13*p**2 - d*p**2 - 9*p - 3*p**2 = 0. What is p?
0, 3
Let x be (-295944)/960 + 2/(-16). Let f = x + 309. Factor -3/5*o**3 + 36/5 - f*o**2 + 24/5*o.
-3*(o - 3)*(o + 2)**2/5
Let w = -45 + 57. Determine t so that -16*t**2 + 5*t - 15*t**3 + 10*t**4 + w*t**2 + 4*t**2 = 0.
-1/2, 0, 1
Let w be 25/325 - 459/(-117). Let t(a) be the first derivative of -16/5*a**2 + 2/5*a**w - 6/25*a**5 + 22/15*a**3 + 8/5*a - 14. Suppose t(k) = 0. What is k?
-2, 1/3, 1, 2
Let d(n) be the second derivative of -1/10*n**5 + 221*n - 3/2*n**2 - 7/6*n**3 - 23/48*n**4 - 1/120*n**6 + 0. Solve d(b) = 0.
-3, -2, -1
Factor -16*a**3 + 11*a**3 - 6134*a**2 + 184*a + 6112*a**2 - 7*a**3 - 30.
-2*(a - 3)*(a + 5)*(6*a - 1)
Let n(i) be the second derivative of i**7/63 - i**6/9 - 2*i**5/5 + 16*i**4/9 + 32*i**3/9 - 16*i**2 + 1737*i. Determine h so that n(h) = 0.
-2, 1, 2, 6
Let v(n) be the first derivative of -n**8/112 - n**7/35 + 3*n**6/40 + 9*n**2/2 - 2*n + 69. Let k(b) be the second derivative of v(b). Let k(p) = 0. Calculate p.
-3, 0, 1
Factor -1/2*n**2 - 123 + 125/2*n.
-(n - 123)*(n - 2)/2
Suppose 27*g + 5250 = 17*g. Let t = 3685/7 + g. Determine f so that -4/7*f**2 - t*f + 10/7*f**3 + 4/7 = 0.
-1, 2/5, 1
Let o(b) be the third derivative of 0*b + 1000/9*b**3 - b**2 + 47 - 1/1440*b**6 + 1/12*b**5 - 25/6*b**4. Factor o(d).
-(d - 20)**3/12
Suppose 675/7*g + 15000/7 + 3/7*g**3 - 18*g**2 = 0. Calculate g.
-8, 25
Let q = 1149 + -1061. Suppose -h = -23*h + q. Factor 2/5*a**h - 2/5*a**3 - 6/5*a**2 + 2*a - 4/5.
2*(a - 1)**3*(a + 2)/5
Let o = 82411 + -247231/3. Find a, given that o - 2/3*a**2 + 2/3*a**3 - 2/3*a = 0.
-1, 1
Find f, given that 17/2*f**3 + 0 + 0*f - 1/2*f**4 - 15*f**2 = 0.
0, 2, 15
Let b(f) = -2*f + 1. Let u be b(-1). Let t = -1638 + 2045. Factor -t*h**u - 1 - 4*h**4 + 411*h**3 + 1.
-4*h**3*(h - 1)
Suppose 0 = 8*m + 98 - 402. Let y be (m/(-57))/(8/(-9)). Let 1/2*c**2 + 1/4*c**5 + 1/2*c**3 + 1/4 - 3/4*c**4 - y*c = 0. Calculate c.
-1, 1
Let s(f) be the third derivative of f**6/240 + 17*f**5/40 + 15*f**4 + 144*f**3 - f**2 + 601*f. Let s(o) = 0. What is o?
-24, -3
Solve 9/4*u + 1/8*u**2 - 18 = 0 for u.
-24, 6
Let f = -235 + 249. Suppose 130*g**2 + 562*g**3 + 24 - 334*g + 113*g**3 - f*g + 1040*g**2 = 0. What is g?
-2, 2/15
Let l(n) be the third derivative of n**6/180 - n**5/18 - 17*n**4/18 + 80*n**3/9 + 4*n**2 - 31. Factor l(c).
2*(c - 8)*(c - 2)*(c + 5)/3
Let f(u) be the first derivative of u**3/3 - 1631*u**2 + 2660161*u + 4878. What is o in f(o) = 0?
1631
Suppose -28*b + 135 = -b. Suppose -5 = 5*n + b*c, -3*n - 15 = 4*c - 9. Factor 0 + 4/7*w - 6/7*w**n + 2/7*w**3.
2*w*(w - 2)*(w - 1)/7
Let u be ((-624)/(-30))/(-8) + (-4)/10. Let g be (u/6)/((-4)/8). Determine y, given that g - 9*y + 7 + 3*y**2 + 15*y - 2*y**2 = 0.
-4, -2
Suppose -6485*b + 99 = -6452*b. Suppose 0 - 2*z - 7/3*z**4 - 17/3*z**b - 17/3*z**2 - 1/3*z**5 = 0. What is z?
-3, -2, -1, 0
Let s = 585 - 580. Let c = 6 + -2. Suppose -20*h**4 + 4*h**2 + 12*h**3 - 10*h - 2*h**5 - s + 22*h**c - 1 = 0. Calculate h.
-1, 1, 3
Let a be 18/(-60) + 300/375. Suppose -1/2*p**4 + a*p**3 + 0*p + 0*p**2 + 0 = 0. What is p?
0, 1
Let v(a) be the second derivative of a**8/26880 - a**7/2520 + a**6/720 + 7*a**4/12 - a**3/6 - a + 24. Let f(u) be the third derivative of v(u). Factor f(l).
l*(l - 2)**2/4
Let p(c) be the third derivative of -3630*c**3 + 0*c + 137*c**2 + 0 + 55/2*c**4 - 1/12*c**5. Factor p(s).
-5*(s - 66)**2
Let m = -386/711 - -155/237. Factor m*r**2 - 7/3 + 20/9*r.
(r - 1)*(r + 21)/9
Determine s, given that 5*s**2 - 982950 - 6620*s + 1183297 + 1119161 + 871712 = 0.
662
Let a(j) = -15*j**3 - 78*j**2 + 27*j - 138. Let h(d) = d**3 + 8*d**2 + d + 1. Let l(z) = -a(z) - 12*h(z). Factor l(x).
3*(x - 7)*(x - 2)*(x + 3)
Let j(y) be the third derivative of y**5/60 + y**4/4 - 9*y**3/2 - 51*y**2 - 4. Solve j(r) = 0.
-9, 3
Let x(r) be the third derivative of -r**7/42 - 277*r**6/180 - 337*r**5/60 + 2*r**4 + 70*r**3/9 + 4282*r**2. Find i such that x(i) = 0.
-35, -2, -1/3, 2/5
Let z be (176/132)/((-1444)/(-54)). Let d = 1769/722 + z. Factor -15/2*o**2 + 15/2*o**3 - 5/2*o**4 + 0 + d*o.
-5*o*(o - 1)**3/2
Let r be 3 + (-13 - (-5 - 10)). Let c(l) be the first derivative of -1/10*l**6 - 7/20*l**4 - 6 + 2/15*l**3 + 0*l + 0*l**2 + 8/25*l**r. Factor c(x).
-x**2*(x - 1)**2*(3*x - 2)/5
Let d(c) be the first derivative of -c**4/4 - 7*c**2/2 + 13*c + 10. Let y be d(0). Factor y - 16*i + 0 + 5 + 6*i**2 + 55*i - 15*i**3.
-3*(i - 2)*(i + 1)*(5*i + 3)
Let h(w) be the third derivative of -3*w**6/8 - 53*w**5/10 - 25*w**4/2 - 12*w**3 - 5*w**2 + 281. What 