67*s**2. Suppose j(m) = 0. Calculate m.
-1, -2/21, 0, 2
Let h(c) be the second derivative of -c**4/28 + 122*c**3/7 - 22326*c**2/7 - 8*c - 19. Suppose h(p) = 0. Calculate p.
122
Let c(w) be the first derivative of -25*w**4/4 + 335*w**3 - 5100*w**2 + 2000*w + 304. What is s in c(s) = 0?
1/5, 20
Let z(g) be the second derivative of -g**4/84 - 9*g**3/7 - 729*g**2/14 - 56*g. Factor z(u).
-(u + 27)**2/7
Let l(y) be the first derivative of y**6/21 - 4*y**5/35 + 4*y**3/21 - y**2/7 + 79. Factor l(p).
2*p*(p - 1)**3*(p + 1)/7
Suppose -14*w = -6 - 36. Suppose w*p + 1/2*p**2 + 9/2 = 0. What is p?
-3
Let a(v) be the third derivative of 1/1260*v**6 + 5/6*v**3 + 0*v**5 + 0 + 12*v**2 + 0*v + 0*v**4. Let p(l) be the first derivative of a(l). Factor p(g).
2*g**2/7
Let h be 4/10*315/42. Let u(j) be the first derivative of -2 + 0*j + 7/8*j**4 - 1/2*j**2 + 5/6*j**h. Factor u(q).
q*(q + 1)*(7*q - 2)/2
Let f(s) = 12*s**2 + 5*s + 4. Let h be f(-1). Suppose -5 = -3*w + p - 2, -w = 3*p - h. Factor 0 + 8/5*r**3 + 2/5*r - 2*r**w.
2*r*(r - 1)*(4*r - 1)/5
Let p(f) be the second derivative of -f**8/3360 + f**7/420 - f**6/180 - f**4/2 - 12*f. Let t(l) be the third derivative of p(l). Find b such that t(b) = 0.
0, 1, 2
Let r(a) be the third derivative of -a**7/70 - 27*a**6/40 - 237*a**5/20 - 737*a**4/8 - 363*a**3 - 444*a**2. Solve r(c) = 0 for c.
-11, -3, -2
Let q(d) = -3*d + 28. Let m be q(8). Factor 8*y - m*y**2 + 26 - 16 - 14.
-4*(y - 1)**2
Let t(w) be the third derivative of -w**5/90 - w**4/18 + 114*w**2. Solve t(h) = 0 for h.
-2, 0
Let x(b) be the third derivative of b**6/120 - 3*b**5/20 + 18*b**3 - 19*b**2 + 3. Solve x(i) = 0.
-3, 6
Factor 0 + 1/6*x**5 - 5/6*x**2 + 5/6*x**4 - 2/3*x + 1/2*x**3.
x*(x - 1)*(x + 1)**2*(x + 4)/6
Suppose -21*y - 5 = 2*c - 20*y, -3*y = c + 15. Determine x, given that 4/9*x**2 + 2/9*x**4 + 0 + c*x - 2/3*x**3 = 0.
0, 1, 2
Let c(b) = -231*b - 460. Let g be c(-2). Solve -4/3*z**5 - 24*z**3 - 32/3*z - 80/3*z**g - 28/3*z**4 + 0 = 0.
-2, -1, 0
Let g = 38 - 26. Suppose 15 = 9*u - g. Factor 0 + 1/4*c - 1/2*c**2 + 1/4*c**u.
c*(c - 1)**2/4
Suppose 4*s = -0*s - k + 3, s = -k + 3. Let i(x) be the first derivative of 2 + s*x**2 + 1/10*x**4 + 0*x - 2/5*x**3. Suppose i(v) = 0. Calculate v.
0, 3
Let o(w) = -3*w - 27. Suppose 0 = 4*v - 2*u + 30, -v + 3*u - 7*u - 30 = 0. Let a be o(v). Let 0*k**2 + 2/13*k**a + 0 + 0*k + 2/13*k**4 = 0. Calculate k.
-1, 0
Let l = -3 - -6. Factor 9*g**3 - 14*g**3 + 3*g - 6*g**2 + 8*g**l.
3*g*(g - 1)**2
Let q = -840 + 50401/60. Let d(v) be the third derivative of 6*v**2 + 0*v + 0 - 1/6*v**3 + q*v**5 + 0*v**4. Factor d(y).
(y - 1)*(y + 1)
Solve -28/3*l**2 - 32/3*l**3 + 0*l - 4/3*l**4 + 0 = 0 for l.
-7, -1, 0
Let -15/2 - 1/4*h**3 - 7*h**2 + 59/4*h = 0. Calculate h.
-30, 1
Let i(z) be the first derivative of z**6/18 + z**5/15 - 7*z**4/12 - 13*z**3/9 - z**2 - 111. Find p such that i(p) = 0.
-2, -1, 0, 3
Suppose 0*k - 90 = 5*k. Let w = 25 + k. Suppose -4*l - 3*l**2 + 3*l + 3*l + w*l = 0. What is l?
0, 3
Let j = 164 - 653/4. Let c = 2/57 + 49/228. Let c*l**3 + 3/4*l + 1/4 + j*l**2 = 0. What is l?
-1
Let s(m) be the second derivative of -m**6/30 - m**5/15 + 5*m**4/6 - 2*m**3 + 12*m**2 - 31*m. Let r(k) be the first derivative of s(k). What is g in r(g) = 0?
-3, 1
Let k(n) = -7*n**2 + 32*n + 8. Let t(s) = 57*s**2 - 255*s - 66. Let l(w) = -33*k(w) - 4*t(w). Factor l(a).
3*a*(a - 12)
Let d(k) be the second derivative of -k**7/126 - 2*k**6/45 - k**5/20 + k**4/9 + 2*k**3/9 + 15*k - 13. Determine h, given that d(h) = 0.
-2, -1, 0, 1
Factor 10*a**3 - 16*a**4 + 11*a**4 - 10*a + 5 + 0*a.
-5*(a - 1)**3*(a + 1)
Let x(u) be the second derivative of 5*u - 1/8*u**3 + 0*u**2 + 0 + 1/4*u**4. Determine r so that x(r) = 0.
0, 1/4
Let i = 402/1205 + 16/241. Solve -2/5*b - 4/5 + i*b**2 = 0 for b.
-1, 2
Find f such that 67/7*f**4 - 2/7*f**5 + 289/7 - 542/7*f**3 - 356/7*f**2 + 544/7*f = 0.
-1, -1/2, 1, 17
Let y be 77/(-66)*(-5 + (-670)/(-140)). Factor -9/4*f - y*f**2 + 0.
-f*(f + 9)/4
Factor 0 - 2*r**3 + 2/3*r**4 - 2/3*r**2 + 2*r.
2*r*(r - 3)*(r - 1)*(r + 1)/3
Let m be 250/(-11)*9/(2 - 5). Let b = m - 68. Factor 2/11*n**2 - 2/11*n**4 + b*n**3 + 0*n - 2/11*n**5 + 0.
-2*n**2*(n - 1)*(n + 1)**2/11
Let r(d) = -d**2 + 6*d - 4. Let b(v) = -5*v**2 + 31*v - 20. Let z(o) = -2*b(o) + 11*r(o). Factor z(n).
-(n - 2)**2
Suppose 0 = 47*q - 54*q + 21. Let f(p) be the second derivative of -1/27*p**3 + 0*p**4 + 0 + q*p + 1/90*p**5 + 0*p**2. Factor f(v).
2*v*(v - 1)*(v + 1)/9
Let x = 12 + -9. Let k(s) = -s**2 + 2*s**2 - 7*s + 5 - s. Let r(v) = 9*v - 6. Let q(l) = x*k(l) + 2*r(l). Factor q(m).
3*(m - 1)**2
Let x be 10/180*4/1. Factor -22/9*y + 14/9*y**2 + 10/9 - x*y**3.
-2*(y - 5)*(y - 1)**2/9
Let d be ((-5)/140*-6)/(10/(-8)). Let h = 59/140 + d. Factor -1/4*x**3 + 0 + 0*x - h*x**2 + 1/2*x**4.
x**2*(x - 1)*(2*x + 1)/4
Factor 2/7*o**3 + 30/7*o - 2*o**2 - 18/7.
2*(o - 3)**2*(o - 1)/7
Suppose 3*z + z + 40 = 0. Let h(s) = -3*s**2 - 4*s + 2*s**2 + 3*s**2 - 4. Let m(l) = -3*l**2 + 8*l + 8. Let t(q) = z*h(q) - 6*m(q). Solve t(b) = 0.
-2
Let f be (-8)/(-28) + 303/189. Let u = 137/63 - f. Factor -1/7*v**2 - 1/7 + u*v.
-(v - 1)**2/7
Let t be (-2)/(-7) - (-63)/(-49). Let w(g) = g**2. Let r(v) = 2*v**2 + v + 2. Let u(b) = t*r(b) + 3*w(b). Suppose u(q) = 0. What is q?
-1, 2
Let r = 22 - 20. Let 120*p - 80 + 7*p**3 - 2*p**3 - 2*p**r - 43*p**2 = 0. What is p?
1, 4
Let q be ((-54)/(-210))/((-66)/(-110)). Factor 6/7*r + q*r**2 + 3/7.
3*(r + 1)**2/7
Suppose -4*u = -34 + 10. Let k be 3/90*u + 2/(-10). Determine a so that 8/5*a**5 + 8/5*a + k + 74/5*a**3 + 48/5*a**2 + 42/5*a**4 = 0.
-2, -1, -1/4, 0
Suppose 0 = -5*l + y - 0*y, 0 = 3*y. Suppose -2*t + 0*j + 3*j - 3 = 0, -t - 3*j = -3. Solve -1/4*x**5 + t + l*x + 1/4*x**2 - 3/4*x**3 + 3/4*x**4 = 0.
0, 1
Let m(f) = 2*f + 24. Let g be m(-15). Let t be (-4)/(-7) - 15*g/(-378). Factor 0 - 2/3*x**2 + 2/3*x**4 - t*x + 1/3*x**5 + 0*x**3.
x*(x - 1)*(x + 1)**3/3
Let w(z) be the third derivative of -z**5/300 - 22*z**4/15 - 3872*z**3/15 + 209*z**2. Factor w(f).
-(f + 88)**2/5
Let b(d) be the second derivative of 2*d**6/9 + 8*d**5/15 - 19*d**4/9 + 4*d**3/3 + 17*d - 2. Determine m, given that b(m) = 0.
-3, 0, 2/5, 1
Let b(o) be the first derivative of 14*o**6/3 - 20*o**5 + 88*o**4/7 + 736*o**3/21 - 32*o**2 + 64*o/7 - 3. Solve b(q) = 0 for q.
-1, 2/7, 2
Let j(b) be the second derivative of -b**6/10 - 3*b**5/2 - 31*b**4/4 - 15*b**3 - 56*b + 2. Determine s so that j(s) = 0.
-5, -3, -2, 0
Find d such that -24 + 9*d + 3/2*d**2 = 0.
-8, 2
Suppose 0 = 4*n - 0*l + 5*l + 8, -2*l = -n + 11. Let -16*d - 14*d**3 - 4*d**4 + 0*d**4 - 10*d**n - 24*d**2 - 12*d**2 = 0. What is d?
-4, -1, 0
Suppose 14 = 3*u - 1. Let b = -9 - -15. Let -d + 10*d + u*d**3 + b - 8*d**3 = 0. Calculate d.
-1, 2
Let s(w) be the second derivative of 1/20*w**5 - 6*w**2 + 0 + 2/5*w**3 + 1/5*w**4 + 1/200*w**6 + 12*w. Let d(h) be the first derivative of s(h). Factor d(a).
3*(a + 1)*(a + 2)**2/5
Let v(b) be the first derivative of b**3/9 + b**2/6 - 4*b - 151. Let v(h) = 0. What is h?
-4, 3
Let w(s) = 13*s**2 + 97*s - 43. Let t = -22 + 27. Let b(n) = n**2 + n + 1. Let f(h) = t*b(h) - w(h). Suppose f(q) = 0. Calculate q.
-12, 1/2
Suppose -190*c + 168*c + c**2 + c**2 + 0*c**2 + 20 = 0. Calculate c.
1, 10
Let c(l) be the third derivative of -l**8/6720 - l**7/1680 + l**5/240 + l**4/96 - 7*l**3/6 + 38*l**2. Let x(h) be the first derivative of c(h). Factor x(i).
-(i - 1)*(i + 1)**3/4
Factor 6*v**3 + 0 + 0*v - 12*v**2 - 2/3*v**4.
-2*v**2*(v - 6)*(v - 3)/3
Let u(i) be the second derivative of -i**4/3 + 8*i**3 - 72*i**2 - i + 1. What is s in u(s) = 0?
6
Suppose 14*p - 5*p = -2*p. Let l(r) be the third derivative of 4*r**2 - 1/30*r**4 + 1/300*r**6 + 1/150*r**5 + 0*r + 0*r**3 + p. Solve l(a) = 0.
-2, 0, 1
Let u(l) be the second derivative of -l**4/21 - 44*l**3/21 - 242*l**2/7 - 63*l. Find m, given that u(m) = 0.
-11
Let q(r) be the third derivative of -r**6/1080 - r**5/72 - r**4/18 - 2*r**3/3 + 4*r**2. Let k(w) be the first derivative of q(w). Find v, given that k(v) = 0.
-4, -1
Let o(v) = -v. Let a be o(10). Let l be ((-4)/a - 2718/720)*-2. Factor -3/4*p**2 - l + 9/2*p.
-3*(p - 3)**2/4
Let s(a) be the third derivative of 0*a**3 + 1/5*a**5 + 4*a**2 + 0 + 0*a - 1/84*a**8 - 2/35*a**7 + 1/3*a**4 - 1/30*a**6. Solve s(n) = 0