= 0?
1, 4
Let l(o) be the third derivative of o**7/105 + o**6/24 + 11*o**5/160 + 5*o**4/96 + o**3/48 - 164*o**2. Find d such that l(d) = 0.
-1, -1/4
Let h = 80018/17507 - -2/2501. Factor -h - 16/7*t - 2/7*t**2.
-2*(t + 4)**2/7
Let w(f) be the first derivative of 4*f**3/3 - 84*f**2 + 1764*f - 26. Factor w(d).
4*(d - 21)**2
Let s(w) be the third derivative of 2*w**7/735 + w**6/210 - w**5/35 - 5*w**4/42 - 4*w**3/21 + 12*w**2 - 4. Solve s(h) = 0 for h.
-1, 2
Let p be 496/16 + -17 - 136/10. Factor -p*r**3 + 6/5 - 6/5*r**2 + 2/5*r.
-2*(r - 1)*(r + 1)*(r + 3)/5
Let l be (-3)/(-3 - 72/16). Find c such that -l*c + 2/5*c**3 + 0 - 1/5*c**4 + 1/5*c**2 = 0.
-1, 0, 1, 2
Let y(w) be the second derivative of -w**4/4 - 6*w**3 - 48*w**2 - 10*w - 1. Factor y(s).
-3*(s + 4)*(s + 8)
Factor -2/9*f**3 + 0 - 4/3*f - 14/9*f**2.
-2*f*(f + 1)*(f + 6)/9
Let z be 41/116 + (8/(-32))/1. Let d = z - -223/87. Factor d + 4/3*q**2 + 4*q.
4*(q + 1)*(q + 2)/3
Let a be (42/(-280))/((-7)/4 + 1). Let b(k) be the second derivative of 0 + 0*k**2 - 7/6*k**4 - 3*k - a*k**5 + 2/3*k**3 + 7/15*k**6. What is s in b(s) = 0?
-1, 0, 2/7, 1
Let y = -224 + 1793/8. Let i(d) be the third derivative of -1/20*d**5 - 1/120*d**6 + 0 - y*d**4 - 1/6*d**3 - 4*d**2 + 0*d. Suppose i(b) = 0. Calculate b.
-1
Suppose 3*j = 5*k + 36, 0 = -3*j - 0*j + 3*k + 30. Let n = 51 + -48. Suppose -j*t + 0*t**2 - n*t**2 - 5*t - 12 = 0. Calculate t.
-2
Suppose -n - 2*n = -6*n. Let b(o) be the third derivative of -1/8*o**4 + 0*o**3 - 5*o**2 - 1/20*o**5 + 0*o + n. Solve b(z) = 0 for z.
-1, 0
Let l be (560/(-4200))/((-29)/86 + (-1)/(-3)). What is t in -21/5*t**3 + 318/5*t**2 - 49/5*t**4 - l*t + 24/5 = 0?
-3, 2/7, 2
Let c(g) = g**2 + 1. Let a(z) = 2*z**4 + 4*z**3 - 2*z**2 - 22. Let f(o) = -a(o) - 4*c(o). Let h(q) be the first derivative of f(q). Factor h(b).
-4*b*(b + 1)*(2*b + 1)
Let f(l) be the second derivative of l**7/84 - l**6/20 - l**5/10 + l**4/2 - 3*l + 34. Let f(r) = 0. Calculate r.
-2, 0, 2, 3
Let j(d) be the third derivative of -55/24*d**4 + 28*d**2 + 0*d - 1/3*d**5 + 5/2*d**3 + 0. Factor j(t).
-5*(t + 3)*(4*t - 1)
Let o(h) be the first derivative of -5/12*h**4 + 4 + 10/3*h**3 - 3*h - 15/2*h**2. Let f(v) be the first derivative of o(v). Factor f(q).
-5*(q - 3)*(q - 1)
Let b be 2 - (-14)/(-4) - (-54)/4. Factor 0*d + 0*d**4 - b*d**3 - 4*d**4 - 4*d - 12*d**2.
-4*d*(d + 1)**3
Let m = -3177/17 - -187. Factor 2/17 + 0*a + 0*a**3 - 4/17*a**2 + m*a**4.
2*(a - 1)**2*(a + 1)**2/17
Let v be ((-12)/110)/(8/(-60)). Let h = -3/44 + v. Determine g, given that -h*g + 1/2 + 1/4*g**2 = 0.
1, 2
Let r(h) be the second derivative of h**6/40 - 3*h**5/20 + h**4/4 - 7*h**2/2 - 10*h. Let t(a) be the first derivative of r(a). Suppose t(n) = 0. Calculate n.
0, 1, 2
Let g(c) = -c**4 + 9*c**3 + 21*c**2 + 19*c + 8. Let s(q) = -3*q**4 + 18*q**3 + 42*q**2 + 38*q + 17. Let x(r) = -5*g(r) + 2*s(r). Factor x(t).
-(t + 1)**3*(t + 6)
Factor 18/7*x**2 + 32/7 - 2/7*x**3 - 48/7*x.
-2*(x - 4)**2*(x - 1)/7
Let o(m) be the second derivative of m**4/12 + 5*m**3/2 + 14*m**2 - 26*m. Let x be o(-13). What is f in 1/5*f**x - 2/5*f + 1/5 = 0?
1
Let b be (-376)/(-260) + (-2)/(-13). Let t be 17 - -1 - 492/30. Factor -t*q**2 + 0 + b*q + 2/5*q**3.
2*q*(q - 2)**2/5
Let y(f) = 5*f + 27. Let i be y(-5). What is j in -3*j**2 - 192 - 48*j + i*j**2 - 5*j**2 + 3*j**2 = 0?
-8
Suppose 3*c = -g + 2*c + 25, 0 = -g - 5*c + 5. Factor -32*w**2 - 20*w**3 + 4*w**2 - g*w - 4*w**4 + 18*w.
-4*w*(w + 1)**2*(w + 3)
Let u(b) be the third derivative of -b**4/12 - 29*b**3/6 - 9*b**2. Let g be u(-15). Factor -g - 4 + 7 + h**2 + 3*h.
(h + 1)*(h + 2)
Let n be (-576)/480 + 46/30. Solve -2/3*r**2 - n + 1/3*r**5 + r**4 + 2/3*r**3 - r = 0 for r.
-1, 1
Let j(h) be the first derivative of 0*h**2 + 29 + 0*h**3 - 1/45*h**6 + 4/75*h**5 + 0*h - 1/30*h**4. Factor j(d).
-2*d**3*(d - 1)**2/15
Let o(f) be the third derivative of 25*f**2 + 0*f**4 + 0*f**3 + 0*f + 0 - 1/600*f**6 + 1/100*f**5. What is w in o(w) = 0?
0, 3
Suppose -6*n = 21 - 57. Let x(s) be the second derivative of -1/105*s**n + 0*s**3 + 1/42*s**4 - 2*s + 1/147*s**7 - 1/70*s**5 + 0*s**2 + 0. Factor x(d).
2*d**2*(d - 1)**2*(d + 1)/7
Let k(h) be the first derivative of 2/3*h**3 + 4*h + 3*h**2 + 23. Factor k(a).
2*(a + 1)*(a + 2)
Let j = 14811 - 14807. Suppose 2/11*t**5 + 0 + 0*t**2 - 4/11*t**3 + 0*t**j + 2/11*t = 0. What is t?
-1, 0, 1
Let x = -1116/7 - -160. Let o = -717 - -5021/7. Factor x + o*w**2 - 6/7*w.
2*(w - 2)*(w - 1)/7
Suppose -3/4*b**2 - 15/4*b + 21/2 = 0. Calculate b.
-7, 2
Let y(d) be the second derivative of d**4/4 + 31*d**3/2 - 48*d**2 + 44*d. Factor y(p).
3*(p - 1)*(p + 32)
Let c(i) = i**5 - 18*i**4 - 131*i**3 - 300*i**2 - 192*i. Let j(v) = 6*v**5 - 89*v**4 - 655*v**3 - 1498*v**2 - 960*v. Let z(b) = 11*c(b) - 2*j(b). Factor z(x).
-x*(x + 1)*(x + 3)*(x + 8)**2
Let w(m) be the first derivative of -56 - 5/6*m**3 + 0*m - 1/4*m**4 - 1/2*m**2. Determine h so that w(h) = 0.
-2, -1/2, 0
Let z = 28 - 23. Suppose -5*b + 4*b + 3 = 0. What is a in -2*a**4 - b*a**3 - 1/2*a - 2*a**2 + 0 - 1/2*a**z = 0?
-1, 0
Let k(f) be the third derivative of -15*f**2 - 1/12*f**4 + 0 - 1/180*f**5 - 5/18*f**3 + 0*f. Factor k(c).
-(c + 1)*(c + 5)/3
What is s in -19/2*s - 1/2*s**2 + 0 = 0?
-19, 0
Suppose -50*t = -55*t - j + 4, t - 16 = -4*j. Factor t*i + 8/9 - 2/3*i**2 + 2/9*i**3.
2*(i - 2)**2*(i + 1)/9
Let g(b) = -14*b**4 + 2*b**3 + 10*b**2 + 34*b - 10. Let u(i) = -4*i**4 + 3*i**2 + 11*i - 3. Let v(j) = -6*g(j) + 20*u(j). Factor v(d).
4*d*(d - 2)**2*(d + 1)
Let a(t) be the first derivative of -6*t**2 - 4/3*t**3 - 3 - 8*t. Factor a(j).
-4*(j + 1)*(j + 2)
Let s(r) be the first derivative of r**4 + 52*r**3/3 + 96*r**2 + 144*r + 170. Determine h, given that s(h) = 0.
-6, -1
Let c(k) = 45*k**3 + 780*k**2 - 547*k - 7. Let w(u) = 15*u**3 + 260*u**2 - 182*u - 2. Let m(s) = -2*c(s) + 7*w(s). Factor m(r).
5*r*(r + 18)*(3*r - 2)
Suppose -3/2*x**5 + 15*x**4 - 48*x**3 + 0*x + 0 + 48*x**2 = 0. What is x?
0, 2, 4
Let g be 22/(-77) + (-976)/(-3367). Let u = 1457/3367 - g. Factor 3/7 + u*m**2 + 6/7*m.
3*(m + 1)**2/7
Let a(y) be the second derivative of y**5/5 - 4*y**4/3 + 10*y**3/3 - 4*y**2 - 12*y - 3. Determine f so that a(f) = 0.
1, 2
Let w(s) be the first derivative of 0*s - 12 - 6/7*s**2 - 4/21*s**3. Factor w(m).
-4*m*(m + 3)/7
Factor 1/2*t + 0 + 1/4*t**3 + 3/4*t**2.
t*(t + 1)*(t + 2)/4
Let f(t) be the second derivative of 7*t**5/5 + 17*t**4/3 + 4*t**3/3 - 16*t**2 - 113*t. Factor f(s).
4*(s + 1)*(s + 2)*(7*s - 4)
Let a(t) be the first derivative of -t**4/16 - t**3/4 + 104. Let a(k) = 0. Calculate k.
-3, 0
Let a = -3773/24 + 1263/8. Suppose 0 + a*j**2 + 7/3*j**3 + 5/3*j**4 + 0*j = 0. What is j?
-1, -2/5, 0
Let o(w) = w**3 + w. Let m(j) = 17 - 6*j - j**3 - j**2 + 15 - 28. Let a(v) = m(v) + 2*o(v). What is f in a(f) = 0?
-2, 1, 2
Suppose 0 = -l, 3*m - 9 - 3 = 5*l. Let x(y) be the first derivative of -1/2*y**4 - 4/3*y**3 + y**2 - 1 + m*y. Let x(u) = 0. Calculate u.
-2, -1, 1
Suppose 4*k = 41 - 29. Factor -3*l**k + 224 - 3*l**2 + 6*l - 224.
-3*l*(l - 1)*(l + 2)
Let q(a) be the third derivative of 961*a**6/60 - 713*a**5/30 - 58*a**4/3 - 16*a**3/3 + 3*a**2 + 10*a. Suppose q(i) = 0. Calculate i.
-4/31, 1
Let s(r) = -r**2 + 1. Let p be s(2). Let u be 6 - 3*(p - -4). Factor 14*b**3 - 8*b - 4*b**3 - 24*b**2 + 4*b**u.
2*b*(b - 2)*(7*b + 2)
Suppose -2/5*u**4 + 2/5*u**2 + 0 + 0*u - 2/5*u**3 + 2/5*u**5 = 0. Calculate u.
-1, 0, 1
Let k = 401 - 399. Let n(g) be the third derivative of 0*g**5 + 1/14*g**3 - 1/140*g**6 + 0*g + g**k + 1/28*g**4 + 0 - 1/490*g**7. Suppose n(v) = 0. What is v?
-1, 1
Let f be ((-11)/33)/((-1)/(-21)). Let h = -5 - f. Suppose -4*v**h - 2 + 13 - 10*v + 1 + 2*v = 0. Calculate v.
-3, 1
Let l(u) be the first derivative of 1/2*u**4 + 4*u**2 - 20 + 10/3*u**3 + 0*u. Find t such that l(t) = 0.
-4, -1, 0
Let y(t) be the second derivative of -2/15*t**5 + 4/3*t**3 - t + 0 + 5/6*t**4 + 3*t**2 - 1/6*t**6. Let x(s) be the first derivative of y(s). Factor x(w).
-4*(w - 1)*(w + 1)*(5*w + 2)
Let u(h) = 6*h - 9. Let r be u(2). Find w, given that -11 + 44 + 24*w**2 - 60*w + 4*w**r - 1 = 0.
-8, 1
Let n(w) be the first derivative of -w**6/240 + w**5/60 - w**4/48 + 3*w**2 + 7. Let q(d) be the second derivative of n(d). Suppose q(o) = 0. What is o?
0, 1
Suppose 0 = k - 7*k + 18. Suppose