= 0 for b.
-1, -1/4, 1
Let j(z) be the second derivative of -22*z**5/25 + 6*z**4/5 - z**3/5 - 2*z**2/5 + z - 8. Factor j(u).
-2*(2*u - 1)**2*(11*u + 2)/5
Let o(i) be the second derivative of i**6/72 + i**5/8 + 5*i**4/12 + 2*i**3/3 - 14*i. Let m(b) be the second derivative of o(b). Factor m(q).
5*(q + 1)*(q + 2)
Find w such that 16/7*w**4 + 0 + 44/7*w + 32*w**2 + 28*w**3 = 0.
-11, -1, -1/4, 0
Let k(x) be the third derivative of -31*x**2 + 0*x - 1/15*x**5 - 1/3*x**4 + 16/3*x**3 + 0. Solve k(l) = 0 for l.
-4, 2
Let m(j) = -7*j**4 - 3*j**3 + 8*j**2 - 3*j - 4. Let y(s) = -48*s**4 - 20*s**3 + 56*s**2 - 20*s - 28. Let g(b) = -20*m(b) + 3*y(b). Solve g(h) = 0 for h.
-1, 1
Let w(t) be the first derivative of t**4/10 + 32*t**3/5 + 768*t**2/5 + 8192*t/5 - 55. Suppose w(i) = 0. Calculate i.
-16
Let l(s) be the first derivative of -s**5/2 + 25*s**4/8 - 5*s**3/6 - 105*s**2/4 + 45*s - 15. Find i, given that l(i) = 0.
-2, 1, 3
Factor 27/4 + 9/4*p**2 - 1/4*p**3 - 27/4*p.
-(p - 3)**3/4
Let k(c) = -c**2 + c - 1. Let z be (-12)/3*(-3 + 2) - 10. Let j(n) = -8*n**2 + 16*n - 14. Let i(o) = z*k(o) + j(o). Find q, given that i(q) = 0.
1, 4
Let z(y) be the third derivative of -y**6/90 - y**5/30 + y**4/18 + y**3/3 + 663*y**2. Find c such that z(c) = 0.
-3/2, -1, 1
Let u(o) = 3*o - 9. Let m be u(7). Let n = m - 9. Factor 16*l**4 - 19*l**3 - 4*l**2 - l**n + 12*l**2 - 4*l**5.
-4*l**2*(l - 2)*(l - 1)**2
Let q(t) be the second derivative of -4*t**6/75 - 13*t**5/25 + 7*t**4/15 + 2*t - 602. What is v in q(v) = 0?
-7, 0, 1/2
Let y = 154/27 - -80/27. Let p be (-10)/(-9)*348/145. Find v such that -y*v**2 - 2/3*v**4 - p - 8*v - 4*v**3 = 0.
-2, -1
Suppose 1108*b**2 - 4*b**4 + 7*b**4 + 3120*b + 2350 + 120*b**3 + 354 + b**4 = 0. Calculate b.
-13, -2
Let r = 284 - 284. Let w(l) be the third derivative of 0 + r*l**4 - 1/420*l**6 - 6*l**2 + 0*l + 0*l**3 - 1/105*l**5. Factor w(t).
-2*t**2*(t + 2)/7
Let q(b) = -b**3 - 21*b**2 - 36*b + 42. Let y be q(-19). Let a(g) be the first derivative of 4/9*g - 1/9*g**2 - 2/27*g**3 - y. Factor a(x).
-2*(x - 1)*(x + 2)/9
Suppose -10*h = 226 - 356. Let p(j) be the second derivative of 0*j**2 + 1/24*j**3 + 0*j**4 - 1/40*j**5 + 1/168*j**7 + 0 + h*j + 0*j**6. Factor p(r).
r*(r - 1)**2*(r + 1)**2/4
Let f = 131 - 128. Factor -42*i**f - 8 + i**4 + 4*i**2 + 30*i**3 + 3*i**4 + 12*i.
4*(i - 2)*(i - 1)**2*(i + 1)
Let a(k) be the first derivative of -2/51*k**3 + 26/17*k**2 - 338/17*k + 36. Factor a(c).
-2*(c - 13)**2/17
Factor 12*x**3 - 6*x**4 - 2*x**4 + 21*x**2 + 27*x - 64*x + 5*x**4 + 7*x.
-3*x*(x - 5)*(x - 1)*(x + 2)
Factor 56*z**2 - 32*z + 19*z - 21*z - 11*z**3 - z**4 - 3*z - 23*z.
-z*(z - 2)**2*(z + 15)
Factor -22*h**2 - 60*h - 3*h**4 + 33*h**3 + 20*h**2 - 22*h**2.
-3*h*(h - 10)*(h - 2)*(h + 1)
Find k, given that 108/7*k + 360/7*k**3 - 2*k**4 + 482/7*k**2 + 0 = 0.
-1, -2/7, 0, 27
Let p(t) be the third derivative of t**8/10080 - t**7/420 + t**6/40 + 2*t**5/15 + 10*t**2. Let d(j) be the third derivative of p(j). Solve d(h) = 0.
3
Let g(v) be the first derivative of 2*v**6/3 - 4*v**5/5 - 7*v**4/4 - 2*v**3/3 + 106. Solve g(c) = 0.
-1/2, 0, 2
Let h(z) be the first derivative of 5*z**4/4 - 35*z**2/2 - 30*z - 230. Determine p, given that h(p) = 0.
-2, -1, 3
Suppose -821 = 5*i - 4*z, -i = -4*z + 54 + 123. Let m = 485/3 + i. Suppose 2/3*u**2 + m*u + 0 = 0. What is u?
-1, 0
Determine o so that 0 - 1/7*o**2 - 6/7*o = 0.
-6, 0
Let t(a) be the third derivative of a**6/80 - 7*a**5/20 - 3*a**2 - 112. Solve t(k) = 0.
0, 14
Let o be 24/(-16)*(-120)/9. Let y = o - 20. Factor 0*s**2 - 2/3*s**4 + 0 + y*s + 2/3*s**3.
-2*s**3*(s - 1)/3
Let t = -2/967 + 1940/2901. Let -2/9*z**5 + t*z**3 + 0*z**4 + 4/9*z**2 + 0*z + 0 = 0. What is z?
-1, 0, 2
Solve -4 - 2/9*i**4 + 2/3*i**2 + 2*i**3 - 50/9*i = 0.
-1, 2, 9
Suppose 4 = s + 2. Suppose 8 = s*i - 0*i. Factor -36*n**3 + 1 + 34*n**2 + 10*n**i + 0 - 10 + 1.
2*(n - 2)*(n - 1)**2*(5*n + 2)
Determine n, given that 604*n**3 - 1206*n**3 + 115*n**2 - 20*n**5 - 20 - 95*n**4 + 55*n + 567*n**3 = 0.
-4, -1, 1/4, 1
Let o(y) be the third derivative of y**8/336 + y**7/210 - 3*y**6/40 + 11*y**5/60 - y**4/6 - y**2 - 36*y. Solve o(r) = 0.
-4, 0, 1
Let x(p) be the third derivative of -p**6/80 - 3*p**5/20 + p**4/4 + 6*p**3 + 2*p**2 + 3*p. Solve x(n) = 0.
-6, -2, 2
Let h(p) be the third derivative of -p**7/6300 - p**6/600 - p**5/150 - p**4/4 - 8*p**2. Let c(o) be the second derivative of h(o). Find g such that c(g) = 0.
-2, -1
Let z = -2/30253 - -121022/151265. Let -z*w**2 + 4/5 - 2/5*w**3 + 2/5*w = 0. What is w?
-2, -1, 1
Let j(y) = 32*y - 256. Let d be j(8). Factor -4/7*t**4 + 0*t**2 - 2/7*t**3 - 2/7*t**5 + 0*t + d.
-2*t**3*(t + 1)**2/7
Determine s, given that 6 + 17*s + 10 - 67*s - 174*s + 108*s**2 = 0.
2/27, 2
Let a(g) be the first derivative of g**3/15 - 53*g**2/5 + 2809*g/5 + 385. Factor a(r).
(r - 53)**2/5
Let j be 0/3 - (0/(-7) + -2). Let p(b) be the third derivative of 5*b**j + 0*b + 0 + 1/8*b**4 - 1/40*b**6 + b**3 - 1/10*b**5. Suppose p(h) = 0. What is h?
-2, -1, 1
Let o(s) be the third derivative of s**8/168 - s**6/30 + s**4/12 + 219*s**2 - 2. Determine u, given that o(u) = 0.
-1, 0, 1
Let m(b) = -3*b**2 - 87*b + 94. Let o(h) = 3*h**2 + 87*h - 95. Let z(q) = 5*m(q) + 4*o(q). Find d such that z(d) = 0.
-30, 1
Let b(d) = -2*d**2 - 26*d - 36. Suppose x + 0*x = 4. Suppose x*v + 1 = 3*v. Let l(r) = -r**2 + r. Let w(a) = v*b(a) - 2*l(a). Factor w(f).
4*(f + 3)**2
Let h be ((-60)/56)/(-5)*(-406)/(-4). Let v(q) be the first derivative of -33*q**3 - 45/2*q**2 - 6*q - 27/5*q**5 - h*q**4 + 3. Factor v(g).
-3*(g + 1)**3*(9*g + 2)
Suppose -10 - 6 = -2*m. Factor 16 + 5*z**3 + 5*z**3 + 4*z + m - 6*z**3 - 16*z**2.
4*(z - 3)*(z - 2)*(z + 1)
Factor 61/5*l**2 + 1/5*l**3 - 25*l + 63/5.
(l - 1)**2*(l + 63)/5
Find v, given that 18*v - 2*v**2 - 30*v - v**2 + 36 = 0.
-6, 2
Suppose 0*q**2 + 19/5*q - 1/5*q**3 - 6 = 0. Calculate q.
-5, 2, 3
Let x(i) = i**2 + 8*i + 2. Let o be x(-8). Factor -3 - 27*a**2 - 13 + 56*a**o + 20*a - 33*a**2.
-4*(a - 4)*(a - 1)
Suppose 0 = -6*l - l. Let p(n) be the second derivative of -1/80*n**5 - 1/12*n**3 + 5*n - 1/16*n**4 + 0 + l*n**2. Factor p(i).
-i*(i + 1)*(i + 2)/4
Let j(f) = 3*f**3 - 33*f**2 - 105*f - 75. Let b(u) = -u**3. Let l(p) = 6*b(p) + j(p). Factor l(s).
-3*(s + 1)*(s + 5)**2
Let p(a) = -a**3 + a**2 + a. Let c(r) = -r**4 + 4*r**3 - 2*r**2 - 4*r + 2. Let i(t) = c(t) + p(t). Factor i(l).
-(l - 2)*(l - 1)**2*(l + 1)
Let 396/7 - 21*a**3 + 2760/7*a + 681*a**2 = 0. What is a?
-2/7, 33
Suppose 3*y**3 - 33*y + 0*y**3 + 18438 - 12*y**2 - 18456 = 0. What is y?
-1, 6
Factor -51840*u**4 + 3170*u**2 + 20880*u**3 + 33424*u**5 + 0 + 140*u + 2 - 5776*u**5.
2*(u - 1)**2*(24*u + 1)**3
Let w(q) = -q**5 - 3*q**4 + 2*q**3 + 9*q**2. Suppose -18 + 3 = 3*n, -2*n = 2*u + 6. Let t(c) = c**5 + c**4 + c**2. Let h(i) = u*w(i) - 10*t(i). Factor h(a).
-4*a**2*(a + 1)**2*(3*a - 2)
Let l(u) be the second derivative of 0 + 2*u**2 + 20*u + 11/12*u**4 - 1/2*u**5 + 8/3*u**3. Factor l(d).
-(d - 2)*(2*d + 1)*(5*d + 2)
Factor -1191*m**4 - 2*m**2 - 38*m**2 - 24*m**3 + 1189*m**4.
-2*m**2*(m + 2)*(m + 10)
Solve 2/5*z**4 - 72/5 - 48/5*z + 12/5*z**3 + 2*z**2 = 0 for z.
-3, -2, 2
Let q(v) be the third derivative of -v**7/3780 + 7*v**6/1620 - 4*v**5/135 + v**4/9 - 16*v**3/3 + 22*v**2. Let c(k) be the first derivative of q(k). Factor c(o).
-2*(o - 3)*(o - 2)**2/9
Let z = 1182 + -591. Let q = -2946/5 + z. Find w, given that -3/5*w**3 + q*w - 6/5*w**2 + 0 = 0.
-3, 0, 1
Let c be 14*2/4 - 2*(-20)/(-8). Factor -1/5*l - 1/10*l**4 - 1/2*l**c - 2/5*l**3 + 0.
-l*(l + 1)**2*(l + 2)/10
Let r(h) be the second derivative of 1/48*h**4 + 1/12*h**3 - 1/80*h**5 + 0*h**2 + 0 - 6*h. Factor r(y).
-y*(y - 2)*(y + 1)/4
Let i = -46 + 60. Factor -12*l**3 + 8*l + i - 6 - 8*l**2 + 4*l.
-4*(l - 1)*(l + 1)*(3*l + 2)
Let 7/2*t + 3 - 7/2*t**3 - 1/2*t**4 - 5/2*t**2 = 0. Calculate t.
-6, -1, 1
Let h(g) be the second derivative of -g**7/1260 + g**6/360 - g**4/6 - 9*g. Let k(f) be the third derivative of h(f). Factor k(y).
-2*y*(y - 1)
Let o(b) be the second derivative of b**4/18 - 8*b**3/9 + 7*b**2/3 + 10*b + 12. Factor o(z).
2*(z - 7)*(z - 1)/3
Suppose -17*s + 22*s = -410. Let o = s + 83. Find k such that o - 2/3*k - 1/3*k**2 = 0.
-3, 1
Let x be (-20)/(-32) + 36/(-96). Let a(f) be the second derivative of 0*f