e of u**6/105 + 9*u**5/140 + 11*u**4/84 - 2*u**2/7 + 23*u - 10. Let d(v) be the first derivative of t(v). Factor d(g).
(g + 1)*(g + 2)**2*(2*g - 1)/7
Let x(g) = -2*g**3 + 125*g**2 + 60*g + 194. Let c be x(63). Suppose -8/3*f**2 + 4/3 + 2/3*f**c + 2/3*f - 4/3*f**3 + 4/3*f**4 = 0. Calculate f.
-2, -1, 1
Suppose 0 = -49*q - 26 + 173. What is w in -2/5*w**q + 2/5*w + 0 + 0*w**2 = 0?
-1, 0, 1
Let q(d) be the first derivative of -7*d**6/3 - 66*d**5/5 - 23*d**4 - 8*d**3 + 8*d**2 - 74. Suppose q(n) = 0. What is n?
-2, -1, 0, 2/7
Let d(s) = 7*s**2 + s - 2. Let b be d(3). Suppose o - 66 = -b. Solve -4/3 + 2/3*l**2 + 2*l - o*l**3 + 2/3*l**4 = 0 for l.
-1, 1, 2
Let t = -2156 + 2158. Find l, given that -4/3 - 1/3*l**t - 4/3*l = 0.
-2
Factor -t**4 + 4676*t**3 - 25*t - 8 - 18*t**2 - 9*t**2 - 4687*t**3.
-(t + 1)**3*(t + 8)
Let d(y) be the third derivative of -y**5/12 + 5*y**4/24 + 222*y**2. Suppose d(v) = 0. What is v?
0, 1
Let x(f) be the third derivative of 1/156*f**4 + 0*f**6 - 1/2184*f**8 + f**2 + 0*f**3 - 1/195*f**5 + 0*f + 0 + 2/1365*f**7. Determine q, given that x(q) = 0.
-1, 0, 1
Let z(r) be the third derivative of r**8/2560 + r**7/560 - r**6/480 + 3*r**4/4 + 2*r**2. Let x(g) be the second derivative of z(g). Find w such that x(w) = 0.
-2, 0, 2/7
Let w(f) be the first derivative of -7 + 35/3*f**3 - 80*f - 5/4*f**4 - 20*f**2. Find x, given that w(x) = 0.
-1, 4
Let a(j) = -j**3 - 428*j**2 + 15403*j - 10078. Let p(x) = -x**3 - x + 1. Let c(o) = -5*a(o) + 20*p(o). Factor c(u).
-5*(u - 71)**2*(3*u - 2)
Let j be (3*(-7)/(-21))/(2/8). Let u(l) = l**2 - 15*l + 56. Let m be u(7). Factor 3/5*b**3 + 3/5*b**2 - 3/5*b + m - 3/5*b**j.
-3*b*(b - 1)**2*(b + 1)/5
Factor -n**2 - n - 1/3*n**3 - 1/3.
-(n + 1)**3/3
Suppose -5*o - 25 = 0, 18*b - 13*b + 5*o + 25 = 0. Factor 1/9*p**2 + b + 2/3*p.
p*(p + 6)/9
Let d(y) = -y - 6. Let t be d(-6). Factor -4 + o**4 + 5*o + 2 - o**3 - 3*o**2 + t.
(o - 1)**3*(o + 2)
Let d(n) = n**2 + n. Let l(h) = -5*h**3 - 206 + 200 + 34*h**2 - 154 + 4*h. Let t(s) = 4*d(s) - l(s). Factor t(q).
5*(q - 4)**2*(q + 2)
Let y be 1230/7488 + (-5)/((-455)/(-14)). Let m(a) be the third derivative of 1/120*a**5 + 1/480*a**6 - 1/12*a**3 + 0 - 11*a**2 + 0*a - y*a**4. Factor m(v).
(v - 1)*(v + 1)*(v + 2)/4
Let l(d) = -2*d - 2. Let v be (16/(-20))/((-2)/(-5)). Let a be l(v). Find u, given that 2 - u**a + 3*u - u - 3 = 0.
1
Let z(i) = i**2 - 2*i - 3. Let f be z(-2). Determine b, given that 5*b**3 - f*b**2 + 5*b**2 - 5*b**2 = 0.
0, 1
Suppose 30/7*f - 24/7 - 33/7*f**3 + 3/7*f**5 + 3*f**2 + 3/7*f**4 = 0. What is f?
-4, -1, 1, 2
Let v(k) be the second derivative of k**6/10 - 51*k**5/20 - 37*k**4/4 - 19*k**3/2 + 173*k. Factor v(g).
3*g*(g - 19)*(g + 1)**2
Let c(k) be the second derivative of k**6/10 - 87*k**5/80 + 67*k**4/16 - 51*k**3/8 + 27*k**2/8 + 314*k. Determine a so that c(a) = 0.
1/4, 1, 3
Let r(q) be the second derivative of -q**6/150 + 3*q**5/50 - q**4/15 - q**3/5 + q**2/2 + 6*q + 3. Factor r(b).
-(b - 5)*(b - 1)**2*(b + 1)/5
Suppose -4*b = -n + 2*n - 15, n = 2*b - 15. Suppose 2*t + 4*s - 24 = 0, b*s - s = 20. Determine o, given that 0 + 2/11*o**3 - 4/11*o - 2/11*o**t = 0.
-1, 0, 2
Let l(g) be the second derivative of -14*g + 0 - 1/12*g**4 - 1/2*g**2 - 1/3*g**3. Find q, given that l(q) = 0.
-1
Suppose 3*u - 3*m = 0, -4*u - 3*m + 2*m = -10. Suppose 3*k + u*k - 15 = 0. Factor -1/4*h - 1/2 - 5*h**k + 23/4*h**2.
-(h - 1)*(4*h + 1)*(5*h - 2)/4
Let v(m) = -m**4 - 6*m**3 - 36*m**2 + 197*m - 3. Let b(a) = -a**4 - 14*a**3 - 70*a**2 + 395*a - 5. Let u(p) = -3*b(p) + 5*v(p). Let u(h) = 0. What is h?
-4, 0, 5
Let d(b) be the second derivative of 0*b**2 + 2/3*b**3 + 0 + 0*b**4 - 3/20*b**5 + 1/30*b**6 + 3*b. Suppose d(x) = 0. What is x?
-1, 0, 2
Let m = 1297/1028 + -3/257. Let r(o) be the first derivative of -2 + o + 5/8*o**4 - 3/2*o**3 - m*o**2 + 7/10*o**5. Find n such that r(n) = 0.
-1, 2/7, 1
Let i(f) be the second derivative of f**7/126 + f**6/9 + 19*f**5/30 + 17*f**4/9 + 19*f**3/6 + 3*f**2 - 100*f. Determine k so that i(k) = 0.
-3, -2, -1
Let m = 330 - 178. Let l = m - 150. Factor 4/13*t - 6/13 + 2/13*t**l.
2*(t - 1)*(t + 3)/13
Suppose 49 - 14 = -5*i. Let w(j) = j + 10. Let t be w(i). Factor 3*m**4 - 6*m**4 + 7*m**4 + 32*m**2 - 17*m + m - 20*m**t.
4*m*(m - 2)**2*(m - 1)
Let j(f) be the third derivative of 1/6*f**4 + 0*f - 13*f**2 + 0 + 0*f**3 - 2/105*f**7 + 1/15*f**5 - 1/30*f**6. Solve j(c) = 0 for c.
-1, 0, 1
Let f(q) be the third derivative of 0 + 0*q - 7/240*q**5 + 3/32*q**4 - 1/12*q**3 + q**2. Determine y, given that f(y) = 0.
2/7, 1
Let -392/5 + 84/5*s + 48/5*s**2 + 4/5*s**3 = 0. What is s?
-7, 2
Factor -2*b**4 + 10*b**3 + 6275*b**2 + 4*b - 6273*b**2 - 14*b.
-2*b*(b - 5)*(b - 1)*(b + 1)
Suppose -2*c = 3*r + 113, 46 = -c + r + r. Let h be 1 + 2 - ((-36)/c - -2). Factor -h*j**2 + 2/13*j**3 - 2/13*j + 4/13.
2*(j - 2)*(j - 1)*(j + 1)/13
Let x = 55 - 50. What is o in -x*o**2 + 15*o - 58*o - 15 + 23*o = 0?
-3, -1
Let x(q) be the first derivative of -3/8*q**2 + 0*q - 3/16*q**4 + 1/2*q**3 - 10. Let x(o) = 0. What is o?
0, 1
Let p(v) be the first derivative of v**4/2 + 26*v**3/3 - 51. Factor p(r).
2*r**2*(r + 13)
Let o(t) = -20*t + 36. Let k(x) = -x**2 - 19*x + 37. Let z(w) = 4*k(w) - 5*o(w). Suppose z(q) = 0. What is q?
2, 4
Suppose -48*n + 30 = -38*n. Let h(m) be the first derivative of -3 + 1/3*m**n + 0*m + 1/2*m**2. Factor h(v).
v*(v + 1)
Let v(u) be the first derivative of 0*u + 2/3*u**3 + 1/6*u**4 + 1/60*u**5 + 1 + 2*u**2. Let i(c) be the second derivative of v(c). Let i(f) = 0. What is f?
-2
Let v(g) be the third derivative of 5*g**2 + g**3 + 3/8*g**4 + 0 + 0*g + 0*g**5 - 1/40*g**6. Let v(w) = 0. What is w?
-1, 2
Let u(d) = 14*d**2 + 64*d + 216. Let v(f) = -4*f**3 - 2*f**2 + 1. Let n be v(1). Let w(b) = -9*b**2 - 43*b - 144. Let r(y) = n*u(y) - 8*w(y). Factor r(c).
2*(c + 6)**2
Suppose -c**2 - 6/5 + 17/5*c = 0. Calculate c.
2/5, 3
Let d(j) be the first derivative of -1/84*j**6 + 5/2*j**2 - 3/28*j**4 + 6 + 0*j + 2/35*j**5 + 2/21*j**3. Let a(k) be the second derivative of d(k). Factor a(l).
-2*(l - 1)**2*(5*l - 2)/7
Let g(c) = -c**3 - 7*c**2 + 9*c + 10. Let q be g(-8). Determine o so that 6*o**q - 25*o**2 + 15*o**2 - 3*o**3 + 10*o**2 = 0.
0, 2
Let v(h) be the second derivative of -1/36*h**4 + 0 + 0*h**5 - 7*h + 1/270*h**6 + 0*h**2 + 1/27*h**3. Factor v(c).
c*(c - 1)**2*(c + 2)/9
Let t = 140 - 94. Let -t*r - 1 - r**3 + 43*r + 0*r**2 + 3*r**2 + 2 = 0. What is r?
1
Let c be (105/20)/(6/8). Factor 20*y + 3*y**4 + c*y**3 - 6*y**4 - 38*y + 15*y**2 - y**5.
-y*(y - 2)*(y - 1)*(y + 3)**2
Let f(l) be the first derivative of -l**4/10 + 2*l**3/15 + 6*l**2/5 - 244. Factor f(k).
-2*k*(k - 3)*(k + 2)/5
Let y(v) be the second derivative of -4*v - 5/96*v**4 + 0 + 0*v**2 - 1/240*v**6 + 1/40*v**5 + 1/24*v**3. Determine p so that y(p) = 0.
0, 1, 2
Let q(x) be the second derivative of 7/3*x**3 + 0 + 10*x + 4*x**2 + 1/3*x**4 - 1/10*x**5. Let q(p) = 0. Calculate p.
-1, 4
Let w be 10/(-4) + (-301)/(-14). Let n = w - 19. Factor 0*o**2 - 1/5*o**5 + n + 2/5*o**3 + 0*o**4 - 1/5*o.
-o*(o - 1)**2*(o + 1)**2/5
Let g = -10303 - -10307. Factor 16/7*n**2 + 1/7*n**5 + 2/7 + 9/7*n + 6/7*n**g + 2*n**3.
(n + 1)**4*(n + 2)/7
Let u(h) be the first derivative of -h**5/10 + 17*h**4/8 - 40*h**3/3 + 16*h**2 + 31. Factor u(z).
-z*(z - 8)**2*(z - 1)/2
Let f(l) = -l**2 + l - 1. Let s be f(1). Let h be s/(-5) - (-28)/10. Suppose -5*r**3 - 18*r**2 + 0*r**3 + 2*r**h + 6*r**3 - 12 + 27*r = 0. Calculate r.
1, 4
Let k(l) be the second derivative of l**7/56 + 13*l**6/120 + l**5/8 - 5*l**4/24 - 13*l**3/24 - 3*l**2/8 + 377*l. Solve k(z) = 0 for z.
-3, -1, -1/3, 1
Suppose 2*z - 3*z = -5. Factor 3*u**3 - z*u**4 + 3*u**5 + 4*u**2 + 2*u**2 - u - 5*u**2 - u**5.
u*(u - 1)**3*(2*u + 1)
Let m(r) be the third derivative of r**5/330 - 59*r**4/132 + 58*r**3/33 - 55*r**2 - r. Solve m(c) = 0 for c.
1, 58
Suppose -10*l + 5*l + 510 = 0. Let o = -815/8 + l. Let -f**2 + 7/8*f**4 - 1/2*f**5 + 1/4*f**3 + o + 1/4*f = 0. Calculate f.
-1, -1/4, 1
Let g be (38/(-44)*10)/(9/(-14 - 4)). Solve -g*x**2 - 300/11*x**3 - 8/11*x + 8/11 = 0 for x.
-2/5, 1/6
Suppose -2*j = 2*o + 3*o - 16, 3*o - 6 = 0. Let h(d) be the third derivative of 0 + 0*d**j + 0*d**4 + 0*d + 1/240*d**5 + 2*d**2. Find x such that h(x) = 0.
0
Let h(p) be the third derivative of 