h**2/5 + 1732*h. Factor l(m).
(m - 18)*(m + 1)*(m + 12)/5
Let j be (-1 - -3) + (5 - 3). Suppose -18 = -5*v + 4*r, 2*v + r + 2 = j. Factor 4*i**4 - 16*i**3 + 0*i**4 - v*i**2 + 19*i**2 - i**2.
4*i**2*(i - 2)**2
Let g = -2339 - -11703/5. Let v(y) be the first derivative of -1 + 0*y + 0*y**3 - 2*y**4 + g*y**5 + 0*y**2 - 1/3*y**6. Factor v(z).
-2*z**3*(z - 2)**2
Let h(o) be the first derivative of -o**4/42 - 62*o**3/21 - 961*o**2/7 - 12*o + 35. Let a(w) be the first derivative of h(w). Determine q, given that a(q) = 0.
-31
Let l be (-46)/(-12) + (-6175)/7410. Factor -75/4*g**2 - 45/4*g + 0 - 5/4*g**4 - 35/4*g**l.
-5*g*(g + 1)*(g + 3)**2/4
Let c(a) be the third derivative of a**6/540 - a**5/30 + 23*a**4/108 - 5*a**3/9 + a**2 - 87. Find q, given that c(q) = 0.
1, 3, 5
Let w(f) be the first derivative of -235 + 0*f**2 - 3/2*f**4 - 1/2*f**6 + 0*f + 0*f**3 - 9/5*f**5. Solve w(p) = 0.
-2, -1, 0
Let n(j) be the first derivative of -j**3/24 - 479*j**2/8 + 959*j/8 + 10461. Let n(h) = 0. Calculate h.
-959, 1
Suppose 5*k = -4*s + 202, -65 = -2*k - 4*s + 11. Let y = 44 - k. Factor -3*o**4 + 5*o**4 + 3*o**y + 3*o**3 + o**2 + 3*o**3.
2*o**2*(o + 1)*(o + 2)
Suppose -4/3*w**3 + 296/3*w**2 + 0 + 1580/3*w = 0. What is w?
-5, 0, 79
Let i(x) = -21*x**3 - 38076*x**2 + 30504*x - 6024. Let c(w) = -3*w**3 + 2*w**2 - 2*w - 4. Let s(b) = -18*c(b) - i(b). Find v, given that s(v) = 0.
-508, 2/5
Let q = 4357785/4 - 1089441. Factor -q*h - 9 - 3/4*h**2.
-3*(h + 3)*(h + 4)/4
Suppose 0 = 4*h + 2*p - 514, 551 = 3*h - p + 163. Factor 273 - 108*m - 116*m**2 - 136 - h.
-4*(m + 1)*(29*m - 2)
Factor -64*o + 4/3*o**3 - 336 + 164/3*o**2.
4*(o - 3)*(o + 2)*(o + 42)/3
Suppose 5*a - 15 = 5*j, j = 2*a + 2*a - 9. What is w in 24*w**2 - 20*w - 14*w**2 - 4*w**3 - 42*w**a + 200 = 0?
-5, 2
Factor -86*w - 12*w**2 - 12*w**2 + 181*w + 9*w**3 + 6 + 2*w**4 - 94*w + 6*w**2.
(w - 1)**2*(w + 6)*(2*w + 1)
Let g be 43/(-2) + 4/8. Let p be (135/12)/(2 + g/12). What is n in 2*n**5 + p + 3*n**3 - 45 + n**5 - 6*n**4 = 0?
0, 1
Let i(j) be the third derivative of j**6/1260 - j**4/21 + 37*j**3/6 - 2*j**2 - 25. Let s(h) be the first derivative of i(h). Let s(c) = 0. Calculate c.
-2, 2
Let o = 843238 + -843238. Factor -21/4*t**3 + 0*t + 3/8*t**4 + o*t**2 + 0.
3*t**3*(t - 14)/8
Let z(k) be the third derivative of 2*k**2 - 2/135*k**5 - 1/108*k**6 + 1/945*k**7 + 5/27*k**4 - 25*k + 0*k**3 + 0. Determine s, given that z(s) = 0.
-2, 0, 2, 5
Let m be 134/10 - (78 + 2925/(-45)). Solve -m*d**2 + 24/5*d - 72/5 = 0.
6
Let x(b) be the third derivative of -b**8/588 + 23*b**7/1470 - b**6/42 - 19*b**5/84 + 17*b**4/14 - 18*b**3/7 + 437*b**2. Suppose x(d) = 0. Calculate d.
-9/4, 1, 2, 3
Factor 2/9*a**3 - 32/9 - 10/9*a**2 - 44/9*a.
2*(a - 8)*(a + 1)*(a + 2)/9
Let q(u) = -5*u**3 + 2*u**2 + 7*u. Let a(t) be the third derivative of t**6/12 - t**5/12 - 5*t**4/8 - 4*t**2 - 3. Let f(c) = 3*a(c) + 5*q(c). Factor f(y).
5*y*(y - 2)*(y + 1)
Let m(w) = 11*w**2 + 257*w + 3. Let o(n) = 96*n**2 + 2316*n + 26. Let g(q) = 52*m(q) - 6*o(q). Factor g(z).
-4*z*(z + 133)
Factor -8019 + 2890 + 234*n + 3963 + n**2 + 2534.
(n + 6)*(n + 228)
Let j(t) be the third derivative of -t**6/80 + 21*t**5/5 + t**4/4 - 168*t**3 + 40*t**2 - 2*t + 7. Suppose j(l) = 0. Calculate l.
-2, 2, 168
Let x(h) be the third derivative of h**5/100 + 811*h**4/20 + 657721*h**3/10 - 2279*h**2. Factor x(k).
3*(k + 811)**2/5
Suppose 12*f = 8 + 16. Let d = 0 - -4. Factor -6*b**2 - 2*b**d + 9*b**f + 12*b**3 + 5*b**4 + 6*b**2.
3*b**2*(b + 1)*(b + 3)
Let f(q) be the second derivative of -65*q**7/84 + 4*q**6/3 + 9*q**5/2 - 55*q**4/12 - 115*q**3/12 + 15*q**2/2 - 23*q - 54. Find g, given that f(g) = 0.
-1, 3/13, 1, 2
Let q(t) be the second derivative of -1/80*t**5 + 1 + 12*t - 1/6*t**3 + 1/12*t**4 + 0*t**2. Factor q(y).
-y*(y - 2)**2/4
Let z be 1*39/3 + 5. Let u = z - 14. Factor 7*q**2 + 8*q**2 + u*q**3 + q**3 - 10*q**3.
-5*q**2*(q - 3)
Determine o so that -16/5*o**4 + 512/5*o**3 - 32/5*o + 0 + 1/5*o**2 = 0.
-1/4, 0, 1/4, 32
Suppose 2*u + 111 = 123. Find t such that -16*t**2 + 24*t**2 + 5*t**3 - u*t + 10*t - t**3 = 0.
-1, 0
Let o be 8/6*(65 - 2322/36). Factor -5408/3 - o*y**2 + 208/3*y.
-2*(y - 52)**2/3
Suppose 17*x = -54 + 156. Determine t so that 0 - 3*t + x*t + 9 - 7 + t**2 = 0.
-2, -1
Let b(z) be the third derivative of -z**7/525 - z**6/150 + 37*z**5/50 - 9*z**4/5 - 2*z**2 - z + 134. Find j, given that b(j) = 0.
-12, 0, 1, 9
Let s(w) be the third derivative of -1/10*w**4 - 4/75*w**5 + 0*w + 0*w**3 - 2 + 42*w**2 - 1/150*w**6. Factor s(f).
-4*f*(f + 1)*(f + 3)/5
Suppose -3*y - 20 = -26. Factor 6*k**4 - 8*k**3 - 2*k**2 - 3*k**4 + 10*k + y*k - 5*k**4.
-2*k*(k - 1)*(k + 2)*(k + 3)
Suppose 2*l + 4*c = -2 - 6, 4 = -4*l - 4*c. Let v be 4 + (-1)/l + (-2)/(-4). Factor 5*g**v + 0*g**2 + 15*g**3 - g + 5*g**2 - 10 - 14*g.
5*(g - 1)*(g + 1)**2*(g + 2)
Let f = 222100 - 222004. What is j in -304*j + f + 18*j**4 - 2/3*j**5 + 1010/3*j**2 - 146*j**3 = 0?
1, 12
Let p(r) = -2*r**4 + 933*r**3 - 8*r**2 - 933*r. Let z(k) = -5*k**4 + 2333*k**3 - 19*k**2 - 2333*k. Let y(n) = -12*p(n) + 5*z(n). Determine v so that y(v) = 0.
-1, 0, 1, 469
Let o(r) be the third derivative of -r**5/240 + 19*r**4/48 + 10*r**3/3 - 2635*r**2 - 2. Solve o(g) = 0 for g.
-2, 40
Let a(x) = 11*x**3 + 28*x**2 - 271*x + 183. Let c(f) = -6*f**3 - 14*f**2 + 134*f - 86. Let q(w) = -4*a(w) - 7*c(w). Solve q(y) = 0.
-13, 1, 5
Factor 164187*t**2 + 1555200 + 1017993*t + 3*t**4 - 1293*t**3 - 55529*t + 988*t**3 + 61376*t - 1117*t**3.
3*(t - 240)**2*(t + 3)**2
Let h(z) be the first derivative of -3*z**3/4 + 1599*z**2/8 + 267*z/2 - 93. Suppose h(v) = 0. Calculate v.
-1/3, 178
Let c(b) be the second derivative of 0 - 12*b**2 - 1/10*b**5 + 157*b + 7/6*b**4 - 4/3*b**3. Find l, given that c(l) = 0.
-1, 2, 6
Let o(b) be the third derivative of b**5/90 + 805*b**4/144 + 67*b**3/12 - 2896*b**2. Factor o(h).
(h + 201)*(4*h + 1)/6
Suppose 400 + 86*c + 18*c**3 - 26*c**2 - 2*c**4 - 132*c + 78*c**2 - 314*c = 0. Calculate c.
-5, 2, 10
Suppose 0 = -8*b - 39*b - 46*b. Let s(d) be the second derivative of b - 15*d + 7/4*d**4 + 9/10*d**5 - 1/2*d**3 - 3*d**2. Solve s(h) = 0 for h.
-1, -2/3, 1/2
Let v(i) = -14*i**2 - 966*i - 1936. Let u(a) = 11*a**2 + 967*a + 1935. Let j(z) = -4*u(z) - 3*v(z). Solve j(r) = 0 for r.
-483, -2
Let m(x) be the second derivative of x**5/5 + 151*x**4/21 - 268*x**3/7 + 288*x**2/7 + 9*x - 77. Let m(t) = 0. What is t?
-24, 3/7, 2
Let q be (-11 - (-708)/60) + (57/10 - 5). Factor 3/4*j**4 + q*j + 0 - 3/2*j**3 - 3/4*j**2.
3*j*(j - 2)*(j - 1)*(j + 1)/4
Let r be 9/21*(-252)/(-540). Let y(i) be the second derivative of -7/3*i**4 - 23*i + 22/3*i**3 + r*i**5 - 10*i**2 + 0. Solve y(v) = 0 for v.
1, 5
Let h(l) = 3*l + 5. Let s(b) = 7*b + 10. Let d(o) = 11*h(o) - 6*s(o). Let k be d(-1). What is w in -4/3*w**5 - 8/3*w**k + 4/3*w**3 + 0 + 0*w + 8/3*w**2 = 0?
-2, -1, 0, 1
Let x = -296 + 300. Factor -20 + 5*j**4 - 11*j**2 + 24*j**3 + 27*j**2 - 24*j - 4*j**4 + 0*j**4 + 3*j**x.
4*(j - 1)*(j + 1)**2*(j + 5)
Let m = -29 - -31. Suppose -47*u + 119*u - 138 + 62 + 4*u**m = 0. Calculate u.
-19, 1
Suppose -29 = -6*u - 11. Suppose -2*z = -0*z - 2, 2*k - 13 = u*z. Find n such that 2*n**5 + 8*n**4 - 20*n**2 - 6 + 2*n**3 - k*n - 5*n**5 + 22 + 5*n**5 = 0.
-2, 1
Let x = -5 - -9. Let h = 140 - 128. Solve -8*q + 505 + x*q**4 + 4*q**5 - h*q**3 - 20*q**2 - 505 = 0.
-1, 0, 2
Suppose -11*i = 5*y - 15*i - 16, -i = -1. Factor 4*n**4 - 12*n**2 - 2*n**3 - 3*n**y - 7*n**3 - 3*n**4 - n**3.
-2*n**2*(n + 2)*(n + 3)
Let i(s) be the third derivative of s**5/150 - 19*s**4/15 + 73*s**3/5 + 22*s**2 + 1. Factor i(c).
2*(c - 73)*(c - 3)/5
Let n(y) be the first derivative of -y**6/360 + y**5/45 + y**4/72 - 2*y**3/9 + 47*y**2/2 + 108. Let z(b) be the second derivative of n(b). Factor z(d).
-(d - 4)*(d - 1)*(d + 1)/3
Let a(i) be the first derivative of 9*i**5/5 + 7*i**4/4 - 74*i**3/3 - 46*i**2 + 24*i + 3312. Find j such that a(j) = 0.
-2, 2/9, 3
Let z(v) be the third derivative of v**7/735 + v**6/420 - 43*v**5/210 - 85*v**4/84 - 2*v**3 + 3*v**2 + 179*v. Factor z(i).
2*(i - 7)*(i + 1)**2*(i + 6)/7
Suppose 4*n - 18 = 38. Suppose -n - 4 = -6*y. Factor -2*z**2 + 39 - 3 + 2*z**4 - 4*z**4 - 42*z + z**y + 9*z**3.
-2*(z - 3)**2*(z - 1)*(z + 2)
Let t(k) be the third derivative of k**8/10080 - 11*k**7/630 + 1