3*s**4 + 10*s + 0*s**3. Suppose q(a) = 0. Calculate a.
0, 2/3, 2
Let x be (27/12)/(-9)*-12. Let y = -18 + 20. Factor 10*z**3 + 2*z**2 + 5*z**3 + 4*z**4 + y*z**2 - 7*z**x.
4*z**2*(z + 1)**2
Suppose -2*g = 3*g + 120. Let z = g - -29. Determine j, given that -4*j**4 - 4*j + 9*j + 2*j**z + 4*j**2 - 7*j = 0.
-1, 0, 1
Let 195*w + 3/5*w**3 - 3042/5 - 96/5*w**2 = 0. Calculate w.
6, 13
Let p(x) = 492*x + 15376. Let c(y) = -y**2 - 493*y - 15376. Let s(w) = 4*c(w) + 3*p(w). Factor s(q).
-4*(q + 62)**2
Let j(t) be the second derivative of t**5/20 + 31*t**4/12 + 187*t**3/6 - 867*t**2/2 + 6*t + 1. Factor j(v).
(v - 3)*(v + 17)**2
Let t be ((-36)/(-495))/(4/(-1080)*-9) + -2. Factor 6/11*o + 0 + t*o**2.
2*o*(o + 3)/11
Let w(v) be the second derivative of -3*v**5/20 - 291*v**4/4 - 28227*v**3/2 - 2738019*v**2/2 + 373*v. Factor w(x).
-3*(x + 97)**3
Let x(a) be the first derivative of a**6/10 - 9*a**5/25 - 3*a**4/20 + 11*a**3/5 - 18*a**2/5 + 12*a/5 + 62. Factor x(y).
3*(y - 2)*(y - 1)**3*(y + 2)/5
Suppose -50 + 20 = -5*r. Let i(h) = h**2 - 1. Let q(l) = l**3 - 10*l**2 + 3*l + 6. Let m(d) = r*i(d) + q(d). Factor m(y).
y*(y - 3)*(y - 1)
Let x = -27322/5 + 5486. Find u such that x*u + 54/5 + 72/5*u**2 + 16/5*u**3 = 0.
-3/2
Let g(l) = -l**3 - 7*l**2 - 7*l - 2. Let n be g(-6). Let i(h) be the second derivative of 0 + 1/36*h**n + h + 0*h**2 + 1/9*h**3. Solve i(u) = 0.
-2, 0
Let x(m) be the third derivative of -8/105*m**7 + 11/30*m**6 - 3/5*m**5 + 0*m + 1/6*m**4 + 0 + 2/3*m**3 + 22*m**2. Factor x(p).
-4*(p - 1)**3*(4*p + 1)
Factor -4/3*g**3 - 7/6*g**2 + 0 - 1/2*g**4 - 1/3*g.
-g*(g + 1)**2*(3*g + 2)/6
Let d(s) be the second derivative of 15*s**4/4 - 5*s**3/3 + 3*s - 7. Find g, given that d(g) = 0.
0, 2/9
Let i be (11 + 1)*(-5 - 77/(-14)). Let d be i*(-4)/(-24)*3. Factor 0 + 0*p - 2/3*p**2 - 1/3*p**d.
-p**2*(p + 2)/3
Let l(o) be the third derivative of 0*o - 31/35*o**7 + 6*o**4 - 5/48*o**8 - 4/15*o**5 + 18*o**2 - 7/3*o**6 - 16/3*o**3 + 0. Solve l(q) = 0 for q.
-2, 2/7, 2/5
Let n = 809074/11 + -73311. Let d = n + -241. Find s such that -2/11*s + 0 + d*s**3 + 0*s**2 = 0.
-1, 0, 1
Let c(o) be the first derivative of 4/3*o**3 - 2*o - 2/5*o**5 + 1/3*o**6 + o**2 - o**4 + 6. Determine b, given that c(b) = 0.
-1, 1
Let n(a) = 2*a**2 - 5*a - 9. Let z be n(4). Factor -j + 16*j - 5*j**z - 10*j.
-5*j*(j - 1)*(j + 1)
Suppose -15 = 20*i - 21*i. Let w be i/(-7 - -2)*-1. Factor -2*m**2 + m**2 + 2*m**4 - m**5 + m**w + 2*m**2 - 3*m**2.
-m**2*(m - 2)*(m - 1)*(m + 1)
Let h(d) be the third derivative of d**8/336 + 13*d**7/210 + 21*d**6/40 + 139*d**5/60 + 17*d**4/3 + 8*d**3 + 674*d**2. Suppose h(z) = 0. What is z?
-4, -3, -1
Let w(n) be the second derivative of -3*n**6/10 - 11*n**5/20 - n**4/4 + n**2/2 - 5*n. Let p(r) be the first derivative of w(r). Let p(q) = 0. Calculate q.
-2/3, -1/4, 0
Let i(u) be the second derivative of 4/35*u**5 - 2/21*u**3 - 2/49*u**7 + 1/42*u**4 + 0*u**2 + 19*u + 0 - 1/105*u**6. Let i(k) = 0. Calculate k.
-1, -2/3, 0, 1/2, 1
Let h(n) = 11*n**4 - 4*n**3 - 20*n**2 + 34*n. Let i(u) = 10*u**4 - 5*u**3 - 20*u**2 + 35*u. Let x(r) = -5*h(r) + 6*i(r). Solve x(m) = 0 for m.
-2, 0, 2
Let v(f) = -f**3 + 26*f**2 - 32*f - 14. Let x be v(25). Let g = x - -189. Let 2/3*q**2 + g + 0*q = 0. Calculate q.
0
Let u(m) be the first derivative of 1/3*m**2 + 4/9*m**3 + 0*m - 20 + 1/6*m**4. Find v such that u(v) = 0.
-1, 0
Let a(i) be the third derivative of 5*i**8/84 + 67*i**7/105 + 43*i**6/20 + 3*i**5/2 - 9*i**4/4 - 267*i**2. Solve a(r) = 0 for r.
-3, -1, 0, 3/10
Let h(d) be the second derivative of d**6/72 + 5*d**5/24 + 5*d**4/4 - 19*d**3/6 + 22*d. Let t(c) be the second derivative of h(c). Factor t(r).
5*(r + 2)*(r + 3)
Let w(d) be the second derivative of -d**4/108 + 47*d**3/54 - 788*d. What is f in w(f) = 0?
0, 47
Let i(q) be the third derivative of -21*q**2 + 0 + 0*q**4 + 0*q + 0*q**3 + 1/105*q**7 - 2/15*q**5 + 0*q**6. Solve i(n) = 0.
-2, 0, 2
Suppose 158/15*d**3 + 46/3*d**2 + 4/15*d**4 + 76/15*d + 0 = 0. What is d?
-38, -1, -1/2, 0
Factor 63/2*v**4 + 0*v - 363/2*v**2 + 3/2*v**5 + 0 + 297/2*v**3.
3*v**2*(v - 1)*(v + 11)**2/2
Suppose 10*a + 15 = 15*a. Suppose 5*q + j - 5 = 0, -2*q = -a*j + 15 - 0. Factor -2/7*c**2 + q + 2/7*c.
-2*c*(c - 1)/7
Let x(m) be the first derivative of -m**5/80 + 14*m - 8. Let w(i) be the first derivative of x(i). Suppose w(p) = 0. Calculate p.
0
Let g(a) = -2*a**3 - 16*a**2 + 4*a - 18. Let m(l) = -l**2 - 1. Let s = -144 + 142. Let f(x) = s*g(x) + 36*m(x). Factor f(r).
4*r*(r - 2)*(r + 1)
Let d be 7/(-14)*3/(-1 + -5). Factor 1/4*v**5 - 1/4*v**3 + 0 - 1/4*v**4 + 0*v + d*v**2.
v**2*(v - 1)**2*(v + 1)/4
Let x = 2 - 2. Suppose -8*r + 3*r = 3*o - 22, x = -2*r + 3*o - 8. Suppose 3*d + r*d - 3*d**3 - 2*d = 0. What is d?
-1, 0, 1
Let t(a) be the first derivative of 0*a - 12 - 2/3*a**3 + 3*a**2. Factor t(p).
-2*p*(p - 3)
Let i(k) be the second derivative of -k**6/15 - k**5/10 + k**4/2 + k**3/3 - 2*k**2 - 84*k. Factor i(g).
-2*(g - 1)**2*(g + 1)*(g + 2)
Let g(o) be the second derivative of o**6/15 - 11*o**5/10 - o**4/6 + 11*o**3/3 + 189*o. Solve g(k) = 0 for k.
-1, 0, 1, 11
Factor 32/9*r - 32/9 + 0*r**2 + 2/9*r**4 - 8/9*r**3.
2*(r - 2)**3*(r + 2)/9
Let m be ((-10)/40)/((-2)/16). Let b(y) be the third derivative of 0*y + 0 + 7/20*y**5 + 4*y**m + 1/4*y**4 - 1/10*y**6 + 0*y**3. Solve b(i) = 0 for i.
-1/4, 0, 2
Let h(u) = -u**3 + u**2 + 2. Let a(n) be the first derivative of -n**4 + n**3 + n**2/2 + 7*n - 13. Let i(b) = 4*a(b) - 14*h(b). Find m, given that i(m) = 0.
-2, 0, 1
Let j = -15 + 15. Factor 66*f**2 + 21*f**4 - 54*f**3 - 29*f - 3*f**5 + 5 + j*f**5 + 4 - 10*f.
-3*(f - 3)*(f - 1)**4
Find o, given that -50*o**2 + 17*o - 30*o**3 + 118*o**3 + 8*o**5 - 38*o**4 - 23*o**3 - 2 = 0.
1/4, 1/2, 1, 2
Let w(d) be the first derivative of 5*d**6/3 - 158*d**5/15 + 137*d**4/6 - 154*d**3/9 - 8*d**2/3 + 8*d + 87. What is o in w(o) = 0?
-1/3, 3/5, 1, 2
Let q(v) be the first derivative of -v**6/150 - v**5/75 + 11*v**2/2 + 15. Let c(z) be the second derivative of q(z). Find i, given that c(i) = 0.
-1, 0
Factor -4 + b**2 + 2567*b - 2 - 2566*b.
(b - 2)*(b + 3)
Find q such that -87/4*q**2 - 15/4*q**4 + 261/4*q**3 - 261/4*q + 51/2 = 0.
-1, 2/5, 1, 17
Let o = 51 + -46. Factor -10*s + s**2 + s**2 - 4*s**2 - o - 3*s**2.
-5*(s + 1)**2
Let o(u) be the third derivative of -u**7/70 - 11*u**6/40 + u**5/20 + 11*u**4/8 - 51*u**2 - 2*u. Factor o(g).
-3*g*(g - 1)*(g + 1)*(g + 11)
Let h(k) = -4*k**3 - 8*k**2 - 4*k + 8. Suppose -q - 8 = -3, 4*q + 15 = 5*s. Let v(g) = -g**3 - g**2 + 1. Let d(c) = s*h(c) + 8*v(c). Factor d(u).
-4*u*(u - 1)*(u + 1)
Let h(z) = -z**2 - 8*z + 35. Let p be h(3). Let t(y) be the second derivative of 0*y**p + 5/48*y**4 + 8*y + 0 + 0*y**3. Solve t(m) = 0 for m.
0
Let n be 2676/(-108) + 4/(-18). Let k(r) = -20*r**4 + 15*r**3 + 40*r**2 + 5*r - 25. Let f(m) = -m**4 + m**2 - 1. Let y(b) = n*f(b) + k(b). Factor y(p).
5*p*(p + 1)**3
Let u = 60013/21435 - -1/4287. Determine j, given that u*j**2 + 12/5 - 34/5*j = 0.
3/7, 2
Let q(s) be the first derivative of 3*s**5 - 365*s**4/4 + 760*s**3 - 360*s**2 - 121. Solve q(d) = 0 for d.
0, 1/3, 12
Let x(d) be the first derivative of -d**7/210 + d**6/90 + d**5/15 - 5*d**3/3 - 31. Let w(o) be the third derivative of x(o). What is l in w(l) = 0?
-1, 0, 2
Let u(f) be the second derivative of f**7/231 + 3*f**6/55 + 23*f**5/110 + 7*f**4/66 - 8*f**3/11 - 16*f**2/11 - 15*f. Find n, given that u(n) = 0.
-4, -1, 1
Suppose -4*a + 3 = -3*i, -11*i = -5*a - 14*i + 24. Factor -3/5*b + 3/5*b**a + 6/5 - 6/5*b**2.
3*(b - 2)*(b - 1)*(b + 1)/5
Let s(t) = -t**3 + 6*t**2 + 6*t + 7. Let a(g) = -g**2 + 7. Let p be a(0). Let d be s(p). Determine x so that 0*x + 2/11 + 2/11*x**4 - 4/11*x**2 + d*x**3 = 0.
-1, 1
Determine x, given that 2*x**3 - 5*x**3 + 4*x**3 + 0*x**3 - 78*x**2 + 2*x**3 = 0.
0, 26
Let p(n) be the third derivative of -n**7/280 - n**6/120 + n**5/8 - 3*n**4/8 - 7*n**3/2 - 9*n**2. Let r(t) be the first derivative of p(t). Solve r(f) = 0.
-3, 1
Let m be (14/(-3) + 5)/(2/150). Suppose 0 = 2*s - 5*f + m, -2*s + f - 6*f + 25 = 0. Let 1/2*y**3 + 0 + 0*y - 1/2*y**5 + s*y**4 + 0*y**2 = 0. Calculate y.
-1, 0, 1
Let m(y) = 5*y**2. Let g be (50/40)/((-1)/4). Let z(x) = x**3 + 5*x**2 - x + 1. Let k(n) = g*z(n) + 6*m(n). Suppose k(t) = 0. Calculate t.
-1, 1
Let q be -8 - 