 ((-3)/6)/(1/(-10)). Let d = 454 + -457. Let z(s) = b*q(s) + d*f(s). Solve z(t) = 0.
0, 1
Let r = 1499/3 + -499. Let g(l) be the third derivative of 0 - 1/4*l**4 + 0*l + 0*l**5 - 4*l**2 + 1/60*l**6 - r*l**3. Determine y so that g(y) = 0.
-1, 2
Let d(v) be the second derivative of -v**9/18900 + v**7/1575 - v**5/150 - v**4/6 + 16*v. Let l(k) be the third derivative of d(k). Let l(s) = 0. Calculate s.
-1, 1
Let j(n) be the first derivative of -n**3/3 - 6*n**2 + 17*n - 11. Let r be j(-13). Determine k so that 8*k**r + 8*k**2 - 14*k**4 - 2*k**4 - 4*k + 4*k**3 = 0.
-1, 0, 1/2, 1
Let o be -1*(-3 - -2)*2. Suppose -2*x - o = -6. Solve -8*d - 2*d + 2*d - 4 + 12 + x*d**2 = 0.
2
Let s(t) be the second derivative of -t**4/4 + t**3 + 45*t**2/2 - 52*t - 1. Determine j, given that s(j) = 0.
-3, 5
Let a(b) = -58*b**2 - 33*b + 19. Let d(f) = -115*f**2 - 65*f + 35. Let m(x) = -5*a(x) + 2*d(x). Find h such that m(h) = 0.
-1, 5/12
What is t in 93*t - 246*t**2 - 21*t + 243*t**2 = 0?
0, 24
Let x(s) be the third derivative of -15*s**8/112 - 3*s**7/2 - 95*s**6/24 - 17*s**5/12 + 55*s**4/6 + 50*s**3/3 + 213*s**2. Let x(c) = 0. Calculate c.
-5, -1, -2/3, 2/3
Let z(g) be the first derivative of -3*g**4/16 - g**3/2 + 9*g**2/8 - 39. Solve z(p) = 0.
-3, 0, 1
Let s(k) be the first derivative of -7 - 1/30*k**3 + 1/150*k**6 - 4*k + 0*k**2 - 1/60*k**4 + 1/100*k**5. Let q(y) be the first derivative of s(y). Factor q(l).
l*(l - 1)*(l + 1)**2/5
Let f = -79/44 + 28/11. Let q = -69 + 71. Suppose -f*u**q + 0 - 1/2*u**3 + 0*u = 0. What is u?
-3/2, 0
Let z(r) = r**2 - 12*r + 11. Let o be z(13). Suppose -18*m + 6*m = -o. Factor -8/3 + 2/3*k**3 + 16/3*k - 10/3*k**m.
2*(k - 2)**2*(k - 1)/3
Determine r so that 16/3*r**4 - 2/3*r**5 + 0*r + 0 - 14*r**3 + 12*r**2 = 0.
0, 2, 3
Factor -79/3*r**2 + 107/6*r + 17*r**3 - 1/6*r**5 - 23/6*r**4 - 9/2.
-(r - 1)**4*(r + 27)/6
Let r be (1*(-4 - -6))/1. Let v(a) be the second derivative of 0 - 2/3*a**r - 5/18*a**3 - 1/36*a**4 + 6*a. Factor v(c).
-(c + 1)*(c + 4)/3
Let g(q) be the third derivative of q**6/1020 + q**5/102 + q**4/102 - 8*q**3/51 + 242*q**2. What is z in g(z) = 0?
-4, -2, 1
Let i be ((-10)/6 - -1) + 313/(-3). Let l be -2 + (-2)/(-3) + i/(-63). Factor -2/3 - l*y**2 + y.
-(y - 2)*(y - 1)/3
Factor 130/3 + 25*o + 5/3*o**2.
5*(o + 2)*(o + 13)/3
Let k be (-36)/8*8/(-18). Find p, given that 8/3*p + 0 - 8*p**2 + 4/3*p**4 + 6*p**3 - k*p**5 = 0.
-2, 0, 2/3, 1
Let z(r) be the second derivative of -2*r**7/35 + 4*r**6/15 - 3*r**5/25 - 4*r**4/5 + 8*r**3/15 - r - 55. Find k, given that z(k) = 0.
-1, 0, 1/3, 2
Let l(p) be the third derivative of -1/12*p**4 - 1/60*p**6 + 0*p**3 + 0 + 0*p + 1/15*p**5 - 23*p**2. Solve l(k) = 0.
0, 1
Let y(x) be the first derivative of 2*x**3/15 + 11*x**2/5 + 36*x/5 - 112. Let y(o) = 0. What is o?
-9, -2
Let c(p) be the third derivative of 1/80*p**4 + 0*p**3 + 1/600*p**5 + 0 + 0*p + 12*p**2. Determine w, given that c(w) = 0.
-3, 0
Let u(p) be the first derivative of -5*p**3/3 - 10*p**2 + 105*p - 47. Factor u(q).
-5*(q - 3)*(q + 7)
Let b(i) be the third derivative of i**7/84 - i**6/16 - 2*i**2 + 76. Factor b(d).
5*d**3*(d - 3)/2
Let h = -34 - -34. Let v(d) be the third derivative of 3*d**2 - 1/72*d**4 + 1/180*d**5 + 0*d + 0 + h*d**3. Factor v(g).
g*(g - 1)/3
Let s(m) be the third derivative of m**6/200 - 6*m**5/25 + 18*m**4/5 - m**2 - 4. Factor s(t).
3*t*(t - 12)**2/5
Let q = -75/107 + 1081/321. Factor -4/3*g - q - 1/6*g**2.
-(g + 4)**2/6
Let u be -2 + 2*(12/(-3))/(-4). Let n(a) be the third derivative of -6*a**2 + u - 1/4*a**4 - 1/3*a**3 - 1/10*a**5 - 1/60*a**6 + 0*a. Factor n(k).
-2*(k + 1)**3
Let u(b) be the first derivative of -2*b**6/3 - 8*b**5/5 + 8*b**3/3 + 2*b**2 - 60. What is q in u(q) = 0?
-1, 0, 1
Let p(l) be the third derivative of -l**7/45 - 29*l**6/90 - 8*l**5/45 + 239*l**2. Find a, given that p(a) = 0.
-8, -2/7, 0
Let g(n) be the first derivative of -4*n**6/3 - 46*n**5/25 + 79*n**4/10 + 188*n**3/15 + 4*n**2/5 - 16*n/5 + 19. Determine i so that g(i) = 0.
-2, -1, -2/5, 1/4, 2
Let g(d) be the first derivative of d**5/60 + d**4/24 - 9*d**2/2 + 14. Let s(f) be the second derivative of g(f). Factor s(k).
k*(k + 1)
Let v = -17800 + 89021/5. Suppose -v*h**3 + 48/5*h**2 - 33/5*h + 6/5 = 0. Calculate h.
2/7, 1
Let q(w) be the first derivative of 1 + 0*w**2 + 4/9*w**3 + 0*w + 2/3*w**4 + 4/15*w**5. Factor q(a).
4*a**2*(a + 1)**2/3
Let s(w) = w**3 - 2*w**5 - 12*w + 11*w + 3*w**5. Let u(j) = -2*j**5 + 40*j**4 - 87*j**3 + 80*j**2 - 28*j. Let z(q) = -3*s(q) + u(q). Factor z(i).
-5*i*(i - 5)*(i - 1)**3
Let -3*c**4 - 2/5 - 43/5*c**3 - 43/5*c**2 - 17/5*c = 0. Calculate c.
-1, -2/3, -1/5
Suppose o - 24 = -3*o. Let u(y) = -4*y**2 - 2*y + 9. Let n(q) = -23*q**2 - 11*q + 53. Let z(f) = o*n(f) - 34*u(f). What is l in z(l) = 0?
-2, 3
Let h(z) be the second derivative of -z**7/3780 + z**6/1620 - 3*z**3 - 7*z. Let w(y) be the second derivative of h(y). Factor w(g).
-2*g**2*(g - 1)/9
Let c(s) be the second derivative of 0*s**4 + 0*s**3 + 1/120*s**6 - 1/20*s**5 + 15*s + 0 + 0*s**2. Suppose c(q) = 0. Calculate q.
0, 4
Let o(b) be the second derivative of -b - 1/3*b**4 - 1/20*b**5 + 0 + 0*b**2 + 0*b**3. Let t(s) = -6*s**3 - 24*s**2. Let g(i) = -34*o(i) + 6*t(i). Factor g(z).
-2*z**2*(z + 4)
Let s be (-12)/10*(-65)/117*3. Let w(d) be the third derivative of 0 - 25/12*d**4 + 0*d - 4/15*d**6 + d**s + d**3 + 28/15*d**5. Factor w(f).
-2*(f - 3)*(4*f - 1)**2
Let v(u) = -27*u**2 + 9*u - 3. Let h(b) = b**2. Let a(q) = 3*h(q) + v(q). Let k(y) = y**2 - y. Let d(o) = a(o) + 18*k(o). Find x, given that d(x) = 0.
-1, -1/2
Let s(d) be the first derivative of d**5/15 + d**4/6 - d**3/3 - 834. Factor s(y).
y**2*(y - 1)*(y + 3)/3
Determine p, given that 3 + 11/4*p - 1/4*p**2 = 0.
-1, 12
Let u(f) be the second derivative of f**7/70 + 17*f**6/50 + 297*f**5/100 + 243*f**4/20 + 108*f**3/5 + 293*f + 1. Find d such that u(d) = 0.
-8, -3, 0
Let p(v) be the third derivative of 3*v**2 - 1/390*v**5 + 1/2184*v**8 + 0*v**3 - 1/780*v**6 + 0*v**4 + 0 + 1/1365*v**7 + 0*v. Suppose p(l) = 0. Calculate l.
-1, 0, 1
Determine c, given that 379*c**4 + 400 + 9075*c**2 - 547*c**3 - 679*c**2 - 1603*c**4 + 3640*c + 162*c**5 + 789*c**3 = 0.
-2, -2/9, 5
Let o(s) = -5*s - 1. Let w be o(-1). Suppose -w*k + 3 = -5. Suppose r**2 - 2*r + k*r**2 - 7*r**2 + 2*r**2 = 0. Calculate r.
-1, 0
Find p, given that 36 - 54*p - 22/3*p**3 + 30*p**2 + 2/3*p**4 = 0.
2, 3
Let f(c) be the second derivative of -c**6/45 - 16*c**5/5 - 128*c**4 + 11*c + 8. Factor f(w).
-2*w**2*(w + 48)**2/3
Find s, given that -6/5 - 47/5*s + 8/5*s**2 = 0.
-1/8, 6
Suppose 125*g - 2*g**3 + 7*g**3 - 20*g**2 + 60 + 0*g**3 + 90*g**2 = 0. What is g?
-12, -1
Let h(n) = -n**3 - 3*n**2 - n + 2. Suppose 8 = 2*g + 14. Let f be h(g). Solve 0*c**2 - 1/5*c**f + 0*c**4 - 1/5*c + 2/5*c**3 + 0 = 0.
-1, 0, 1
Let j(p) be the second derivative of -p**6/30 - 19*p**5/5 - 361*p**4/2 - 13718*p**3/3 - 130321*p**2/2 - 112*p. Find z such that j(z) = 0.
-19
Suppose -15/2*k**3 - 3/2*k**4 + 63/2*k - 3/2*k**2 + 27 = 0. Calculate k.
-3, -1, 2
Let d(m) be the third derivative of -m**5/390 - m**4/13 + m**3/3 - 25*m**2 + 2. Suppose d(p) = 0. Calculate p.
-13, 1
Let x = -37 - -52. Let f = x + -10. Find w, given that 3*w**2 + 4*w**4 - 53*w**3 + 48*w - 18*w**4 + 75*w**f - 70*w**3 - w**4 + 12 = 0.
-1, -2/5, 1
Suppose 4*y - 16 = 16. Let o(b) = -4*b**3 - 16*b**2 - 8*b. Let g(q) = -q. Let r(t) = y*g(t) + o(t). Factor r(j).
-4*j*(j + 2)**2
Let f(h) be the first derivative of 0*h + 5/4*h**4 - 3/2*h**5 + 0*h**2 + 9 - 5/18*h**3. Solve f(c) = 0.
0, 1/3
Factor -26 + 2/5*b**2 - 16/5*b.
2*(b - 13)*(b + 5)/5
Let o(l) be the first derivative of 0*l**2 - 2/65*l**5 + 0*l**3 - 1/26*l**4 + 0*l + 19. Factor o(j).
-2*j**3*(j + 1)/13
Factor 2156*f + 999 - 4*f**5 + 640 + 2136*f**3 - 2179 - 3224*f**2 - 524*f**4.
-4*(f - 1)**4*(f + 135)
Let d(f) be the second derivative of f**5/25 - 2*f**4/3 - 22*f**3/15 + 190*f + 1. Factor d(k).
4*k*(k - 11)*(k + 1)/5
Let t = 319/364 + -23/182. Find u, given that -3/2*u**2 - 3/4*u**3 + 0 + t*u**4 + 0*u = 0.
-1, 0, 2
Find l, given that 4 + 120*l**2 + 132*l - 216*l + 126*l + 60*l**3 - 10*l**3 = 0.
-2, -1/5
Let t be 30/4 - (-4)/8. Suppose 5*k - 2 = -b, 0*k - t = -4*b + 3*k. Solve r - b*r - 4*r**2 - 7*r = 0 for r.
-2, 0
Let l be -2*(0 + -1)/1. Let o be 4*1*6