-48 + 338/7. Factor -u*v**o - 2/7*v + 4/7*v**2 + 0.
-2*v*(v - 1)**2/7
Let a = -37610/43 - -188394/215. Factor 0*v**2 + 2/5*v**3 + 0 - a*v.
2*v*(v - 2)*(v + 2)/5
Let c(z) = -z**2 + 423*z - 43792. Let h be c(181). Solve 35/2*s**2 + 0 + h*s - 5/2*s**4 + 5*s**3 = 0 for s.
-1, 0, 4
Let k(x) = 15*x**2 - 5380*x - 1441845. Let g(v) = 19*v**2 - 5382*v - 1441845. Let h(w) = 5*g(w) - 6*k(w). Determine i, given that h(i) = 0.
-537
Let s(a) be the third derivative of -a**6/120 - 6*a**5/5 - 113*a**4/8 - 134*a**3/3 + 407*a**2 - 10*a. Factor s(p).
-(p + 1)*(p + 4)*(p + 67)
Let f(c) be the third derivative of -c**7/504 + c**6/36 - c**5/8 - c**4/12 + c**3 - 35*c**2. Let z(u) be the second derivative of f(u). Factor z(q).
-5*(q - 3)*(q - 1)
Let p(t) be the third derivative of 5*t**2 + 0*t**3 - 1/330*t**5 - 1/22*t**4 + 1 + 0*t. Factor p(f).
-2*f*(f + 6)/11
Let v be 6/(-4)*(-2)/12*8/7. Let 2*b - 2*b**3 - v*b**4 + 18/7*b**2 - 16/7 = 0. What is b?
-8, -1, 1
Let h(u) be the first derivative of -u**4/2 - 4*u**3 - 5*u**2 + 24*u - 853. Factor h(g).
-2*(g - 1)*(g + 3)*(g + 4)
Let t(j) = -j**3 + j**2 + j - 2. Let x(h) = 20*h**3 - 1045*h**2 + 53030*h + 30. Let s(m) = -15*t(m) - x(m). Factor s(n).
-5*n*(n - 103)**2
Let g(t) be the second derivative of 1/294*t**7 + 39/140*t**5 + 2/7*t**3 + 0 + 0*t**2 - 100*t + 37/84*t**4 + 1/14*t**6. Let g(l) = 0. Calculate l.
-12, -1, 0
Let v = 81 + -16. Let h be (2 - v/(-91)) + 4/14. Determine j so that 1/5*j**2 + 1/10*j**5 + 1/10 + 1/5*j**h - 3/10*j - 3/10*j**4 = 0.
-1, 1
Let z(a) = -a**3 - 2*a**2 - 8*a - 115. Let h be z(-5). Let j(w) be the second derivative of h + 25/3*w**2 + 4*w + 1/18*w**4 - 10/9*w**3. Factor j(f).
2*(f - 5)**2/3
Let z(g) be the second derivative of g + 14 + 7/24*g**4 - 1/40*g**5 + 0*g**3 + 0*g**2. Factor z(s).
-s**2*(s - 7)/2
Let d = 5538 - 5533. Let m(p) be the second derivative of -1/70*p**d + 1/3*p**3 + 0 - 13*p - 4/7*p**2 - 1/21*p**4. Factor m(b).
-2*(b - 1)**2*(b + 4)/7
Let z = 685 - 624. Factor 40*t**4 + 182*t**5 - 60*t**5 - 44*t**3 - 57*t**5 - z*t**5.
4*t**3*(t - 1)*(t + 11)
Suppose 30*d = 37*d - 427. Suppose 4*b = -53 + d. Find s such that -1/11*s**b + 0 + 1/11*s = 0.
0, 1
Let b(w) = w + 7. Let q be b(-3). Factor 4*o**q - 32*o**3 + 27*o**3 - 5*o**2 - 2*o**4 + o**5 - o**2.
o**2*(o - 2)*(o + 1)*(o + 3)
Determine q so that -400/7 + 2/7*q**3 + 30*q - 36/7*q**2 = 0.
5, 8
Determine j, given that -309/5*j - 954/5 + 3/5*j**2 = 0.
-3, 106
Factor 7014*r + 119*r**2 + 376*r**2 - 504*r**2 + 4680.
-3*(r - 780)*(3*r + 2)
Let f(t) = t - 5. Let i be f(7). Solve -26*b + 48*b - 22*b + 3*b**i - 3*b**3 = 0.
0, 1
Let c(q) be the third derivative of 0*q - 1/1008*q**8 - 1/630*q**7 + 1/12*q**4 + 0 + 47*q**2 + 13/180*q**5 + 7/360*q**6 + 0*q**3. Find d, given that c(d) = 0.
-2, -1, 0, 3
Factor -349690 - 2/5*t**2 + 748*t.
-2*(t - 935)**2/5
Let m(j) be the third derivative of -j**6/120 - 13*j**5/20 + 41*j**4/12 - 3521*j**2. Factor m(p).
-p*(p - 2)*(p + 41)
Let d = 11099 - 22197/2. Let f(p) be the second derivative of 5*p**2 - 3*p**3 + 0 + 1/10*p**5 + d*p**4 - 20*p. Let f(t) = 0. Calculate t.
-5, 1
Let i(l) be the third derivative of l**6/840 - l**5/70 - l**2 + 1. Determine m, given that i(m) = 0.
0, 6
Let n(l) = -l**3 + 15*l**2 - 50*l + 4. Let d be n(10). Let j(y) be the first derivative of -3/7*y**2 + 8/21*y**3 + 0*y + 11 - 1/14*y**d. Solve j(g) = 0 for g.
0, 1, 3
Factor 0*p**2 - 528/5 + 194/5*p - 2/5*p**3.
-2*(p - 8)*(p - 3)*(p + 11)/5
Let k(g) be the third derivative of g**6/120 - 4*g**5/3 - 2368*g**2. Factor k(t).
t**2*(t - 80)
Let s(b) = -8*b**4 - 8*b**3 - 6*b**2 + 36*b - 24. Let f(l) = -17*l**4 - 16*l**3 - 14*l**2 + 72*l - 52. Let q(u) = 6*f(u) - 13*s(u). Solve q(d) = 0 for d.
-3, 0, 2
Let k(q) be the second derivative of -3*q**5/20 - 13*q**4/4 + 34*q**3 + 1460*q. Factor k(s).
-3*s*(s - 4)*(s + 17)
Let z(p) be the second derivative of -p**3/2 - 11*p**2/2 + 12*p. Let c be z(-5). Find a, given that 7*a**3 - 35*a**4 + 44*a**c - a**3 = 0.
-2/3, 0
Let z(a) = -a**3 - 37*a**2 - 154*a + 192. Let g be z(-32). Factor g - f - 1/2*f**4 - 5/2*f**2 - 2*f**3.
-f*(f + 1)**2*(f + 2)/2
Let f be ((-50)/480)/((-3)/12). Let g(k) be the third derivative of f*k**5 + 5/2*k**3 + 0*k - 35/24*k**4 - 10*k**2 - 1/24*k**6 + 0. Factor g(o).
-5*(o - 3)*(o - 1)**2
Suppose -19 + 28 = -9*c. Let v be 3*c - (-63 + 58). Factor 49/4 - 7/2*p + 1/4*p**v.
(p - 7)**2/4
Let n(y) be the third derivative of -8/33*y**3 + 0 + 0*y - 41*y**2 + 1/1155*y**7 - 1/33*y**4 + 1/55*y**5 + 1/132*y**6. Let n(t) = 0. Calculate t.
-2, 1
Factor 40 + 5*r**2 + 1/3*r**3 + 74/3*r.
(r + 4)*(r + 5)*(r + 6)/3
Let y(i) = i**2 - i + 6. Let a(t) = 10*t**2 - 125*t + 465. Let z(w) = a(w) - 15*y(w). Solve z(q) = 0.
-25, 3
Let w(t) be the second derivative of -9*t**5/4 - 8815*t**4/4 - 17615*t**3/6 - 2935*t**2/2 + 9369*t. Determine n, given that w(n) = 0.
-587, -1/3
Factor 1263*x**2 + x**3 - 263*x**2 + 48985*x - 102010 + 0*x**3 + 4*x**3.
5*(x - 2)*(x + 101)**2
Let l(u) be the first derivative of 93 + 32/9*u**2 - 2/27*u**3 - 512/9*u. Factor l(q).
-2*(q - 16)**2/9
Suppose -41*c + 48*c + 8425 = 32*c. Let n(y) = 6*y + 3. Let v be n(7). Find r such that v*r - 5*r**2 + c - 337 = 0.
0, 9
Let 24/5*l**2 + 0*l + 0 + 6*l**3 + 3/5*l**4 - 3/5*l**5 = 0. Calculate l.
-2, -1, 0, 4
Let f(s) = s**2 + 155*s - 2366. Let d be f(14). Factor -26/3*n + d + 2/3*n**2.
2*n*(n - 13)/3
Let h = 52547/8 - 6568. Let m(s) be the first derivative of 189/4*s**2 - 15/2*s**3 + h*s**4 - 147/2*s + 5. Factor m(x).
3*(x - 7)**2*(x - 1)/2
Suppose m = 2*m - 4, 5*c - 3*m = 3268. Let x be ((-410)/c)/(10/(-4)). Factor -3/2*f - x*f**2 + 0.
-f*(f + 6)/4
Let s(h) = -h**3 + 2*h**2 + 2*h + 2. Let y be s(0). Factor 3*p + p + 7*p**2 + 1 - 11*p**y - p.
-(p - 1)*(4*p + 1)
Suppose -2*u = -2*g - 26, 3*g - 54 = -66. Suppose -u*o - 83 = -110. Find j, given that 0 - 4*j + 2*j**5 - 34/3*j**o - 38/3*j**2 - 2/3*j**4 = 0.
-1, -2/3, 0, 3
Suppose -3*r - 194 + 162 = 8*d - 3*d, 2*r + 28 = 0. Factor -1/3*b**3 + 0 + 0*b - b**d.
-b**2*(b + 3)/3
Let h(i) be the first derivative of -i**4/66 + 5*i**3/33 - 6*i**2/11 + 175*i - 44. Let v(n) be the first derivative of h(n). Factor v(o).
-2*(o - 3)*(o - 2)/11
Let a(h) be the third derivative of 2/75*h**5 - 2/5*h**3 - 20*h - 1/300*h**6 - 1/60*h**4 + 0 - h**2. Let a(m) = 0. Calculate m.
-1, 2, 3
Let i = 598631/5 - 119725. Suppose -3/5*j + 0 + 0*j**4 + i*j**3 + 0*j**2 - 3/5*j**5 = 0. Calculate j.
-1, 0, 1
Let v = 505 - 489. Let v*p**3 + 4*p + 5*p**3 - 94*p - 24*p**3 - p**2 - 50*p**2 = 0. What is p?
-15, -2, 0
Factor -780 + 778*q - 307*q**2 - 196*q**2 + 505*q**2.
2*(q - 1)*(q + 390)
Let z(h) be the first derivative of 2*h**3 + 0*h**2 - 1/4*h**4 + 7 + 1/10*h**6 - 3/5*h**5 - 15*h. Let y(p) be the first derivative of z(p). Factor y(i).
3*i*(i - 4)*(i - 1)*(i + 1)
Determine g so that 1/5*g**2 + 738/5 + 371/5*g = 0.
-369, -2
Let f(l) be the first derivative of 2*l**4/5 + 20*l**3/3 + 22*l**2/5 - 48*l/5 + 8153. Factor f(k).
4*(k + 1)*(k + 12)*(2*k - 1)/5
Let y = 296233/131748 + 50/32937. Solve 1/8*g**4 + 17/8*g + y - 17/8*g**3 - 19/8*g**2 = 0 for g.
-1, 1, 18
Suppose l + 3*g = 1054, -3*l - 20*g + 3162 = -18*g. Let t = l + -3158/3. Let t*z - 2*z**5 + 10/3*z**4 + 0 - 10/3*z**2 + 2/3*z**3 = 0. What is z?
-1, 0, 2/3, 1
Let f be (-16)/(-2) + -10 - 30. Let l be (f/(-96))/(5/9). Determine s so that -9/5 + 9/5*s**2 - l*s**3 + 3/5*s = 0.
-1, 1, 3
Factor 293559 - 130*k - 186*k - 291543 + 4*k**2.
4*(k - 72)*(k - 7)
Let q(s) be the third derivative of -s**5/20 + s**4/2 + s**3/2 + 7*s**2 + 6*s. Let p(x) = 2*x**2 - 10*x - 2. Let z(f) = -6*p(f) - 5*q(f). Factor z(m).
3*(m - 1)*(m + 1)
Let x(q) be the first derivative of 81*q**4/8 - 201*q**3/2 + 370*q**2 - 600*q - 2229. Suppose x(m) = 0. What is m?
20/9, 3
Let k = -6 - -10. Let m be 12/16*k - 0. Factor -5*j**3 - m*j + 5*j + 3*j.
-5*j*(j - 1)*(j + 1)
Let d(b) be the first derivative of -b**4/3 - 20*b**3/9 + 64*b**2/3 - 48*b + 4005. Factor d(z).
-4*(z - 2)**2*(z + 9)/3
Suppose -132 + 54*o - 10*o**2 + 133 - 249 + 12*o**2 = 0. Calculate o.
-31, 4
Let z(p) be the second derivative of p**5/20 - 47*p**4/3 + 2485*p**3/6 - 4263*p**2 + 2*p + 2858. What is x in z(x) = 0?
7, 174
Let d(g) be the third derivative of g**5/48 + 53*g**4/32 + 189*g**3/4 + 9462*g**2. Find v, given that d(v) = 0.
-21, -54/5
Let j(x) = x**4 - x