at m(q) = 0.
-5, 0
Let x(g) be the second derivative of -2/105*g**6 + 0 + 2*g + 0*g**2 + 2/35*g**5 + 0*g**3 - 1/21*g**4. Factor x(m).
-4*m**2*(m - 1)**2/7
Factor 3*r + 6 + 1/3*r**2.
(r + 3)*(r + 6)/3
Let l(m) = -3*m**2 - 1094*m - 100461. Let z(d) = -3*d**2 - 1092*d - 100458. Let v(u) = -3*l(u) + 2*z(u). Factor v(w).
3*(w + 183)**2
Factor 20 + 24*c**3 - 34*c + 15*c**3 - 41*c**3 + 20*c**2 - 4.
-2*(c - 8)*(c - 1)**2
Let j(w) = w**3 - 5*w**2 + 3*w + 10. Let h be j(4). Factor -160*n**4 - h*n**3 + 15*n**3 + 157*n**4.
-3*n**3*(n - 3)
Let t(k) = -4*k + 8. Let o be t(-6). Factor -16*c**4 + 2*c**2 - 18*c**4 + 8*c - 8*c**3 + o*c**4.
-2*c*(c - 1)*(c + 1)*(c + 4)
Let i be -4*(-100)/320*(-36)/(-10). Let y(x) be the first derivative of -6*x + i*x**2 + 5 - x**3. Factor y(h).
-3*(h - 2)*(h - 1)
Let f(q) = -q - 1. Let o(w) = w**2 - 5*w - 14. Let m(u) = 18*f(u) - 2*o(u). What is v in m(v) = 0?
-5, 1
Suppose 0 = 17*p - 13*p + 232. Let q = p + 61. Let 8/7*t**q + 0*t - 2/7*t**5 + 0 + 8/7*t**2 - 2/7*t**4 = 0. What is t?
-2, -1, 0, 2
Determine y so that -36*y + 1/4*y**2 + 1296 = 0.
72
Let j = -54 - -55. Let f be (-16 - -17)*0/j. Factor 0 - 2/19*s**2 + 2/19*s**5 + f*s - 2/19*s**3 + 2/19*s**4.
2*s**2*(s - 1)*(s + 1)**2/19
Let d(p) = -8*p**4 + 14 + 8*p**5 - 4*p**3 - 4*p - 6 - 8. Let r(z) = -z**5 + z**4 + z**2 + z. Let o(s) = d(s) + 4*r(s). Factor o(c).
4*c**2*(c - 1)**2*(c + 1)
Let b(h) be the second derivative of -h**8/30240 + h**7/5670 + h**6/3240 - h**5/270 + 9*h**4/4 + 9*h. Let f(p) be the third derivative of b(p). Factor f(y).
-2*(y - 2)*(y - 1)*(y + 1)/9
Let a be (-84)/(-24) + 1/2. Factor 10*r**2 + 6*r**3 - 3*r**3 - 5*r**a + 2*r**3.
-5*r**2*(r - 2)*(r + 1)
Suppose 4*z + 156 = -2*m, -z - z = -3*m - 218. Let c = m - -223/3. Solve -2/3*p + c + 1/3*p**2 = 0 for p.
1
Let u(x) be the first derivative of 4*x**5/25 - x**4 + 8*x**3/5 + 8*x**2/5 - 32*x/5 + 165. Factor u(g).
4*(g - 2)**3*(g + 1)/5
Suppose -3*k + r + 5 = 0, -23*k + 21*k + 5*r - 1 = 0. Suppose 1 + 3/4*g - 1/4*g**k = 0. Calculate g.
-1, 4
Factor 720/7*q**2 - 20/7*q**4 - 40/7*q**3 + 2/7*q**5 - 6912/7 + 0*q.
2*(q - 6)**3*(q + 4)**2/7
Let v = 13003 - 117025/9. Solve 2/9*s**2 + v + 4/9*s = 0.
-1
Let n be (61 - (-4 - 2)) + -6. Let u = -61 + n. Find a such that -1/3*a**3 + 1/3*a + u*a**2 + 0 = 0.
-1, 0, 1
Determine w, given that 186*w**2 + 0*w**5 + 54*w**4 - 180*w**3 + 3*w**5 - 18*w**2 - 6*w**5 = 0.
0, 2, 14
Let d(h) = 20*h**2 - 158*h - 13. Let n be d(8). Factor 0*s - 4/5*s**2 - 2/5*s**n + 0.
-2*s**2*(s + 2)/5
Let m(n) be the second derivative of 0 + 3/5*n**3 + 23*n - 1/20*n**4 + 0*n**2. Solve m(b) = 0.
0, 6
Let y(g) = 2*g**2 + 6*g + 12. Let k be y(-5). Factor 19 - 2*z - 5 + 2*z**2 - 14*z - k.
2*(z - 9)*(z + 1)
Let o = 562 + -1558. Let r = o - -10970/11. Suppose 2/11 + r*f + 18/11*f**3 + 30/11*f**2 = 0. Calculate f.
-1, -1/3
Let y(x) be the third derivative of -x**6/30 + 11*x**5/15 - 7*x**4/6 - 98*x**3 + 163*x**2. Factor y(j).
-4*(j - 7)**2*(j + 3)
What is m in -408/7*m**4 - 48*m**5 + 6/7*m - 45/7*m**3 + 0 + 33/7*m**2 = 0?
-1, -1/4, 0, 2/7
Let u = 436 - 3049/7. Factor 0 + 1/7*z**2 + 1/7*z**5 + u*z**4 + 0*z + 3/7*z**3.
z**2*(z + 1)**3/7
Determine z, given that 0*z**4 + 7*z**3 - 28250*z**2 + 28262*z**2 + z**4 = 0.
-4, -3, 0
Let a = 37 - 32. What is p in 3*p + 188 + 10*p - 84*p**a + 7*p + 256*p**4 - 256*p**3 - 196 + 72*p**2 = 0?
-2/7, 1/3, 1
Let a(f) be the third derivative of -f**7/525 - f**6/75 - f**5/30 - f**4/30 + 2*f**2 + 4*f. Factor a(r).
-2*r*(r + 1)**2*(r + 2)/5
Let w = 0 - 0. Let v = -24382/3 + 8128. Factor v*d - 2/3*d**3 + 1/3*d**4 - 1/3*d**2 + w.
d*(d - 2)*(d - 1)*(d + 1)/3
Let s be -1 + 7/(56/48). Let t(n) be the second derivative of -1/15*n**s + 0*n**2 + 0*n**3 + 6*n + 1/45*n**6 + 0 + 1/18*n**4. Solve t(o) = 0 for o.
0, 1
Let d(m) be the second derivative of m**6/1440 + m**5/60 + m**4/6 + 10*m**3/3 - 20*m. Let q(a) be the second derivative of d(a). Factor q(h).
(h + 4)**2/4
Suppose 0 = 10*n - 15*n + 10. Suppose -38 = -2*y + 2*l, 5*l = n*y - 6*y + 49. Suppose 132*s**2 - 19*s - 144*s**3 - 12*s + 4 - y*s + 7*s = 0. What is s?
1/4, 1/3
Let t(k) = 3*k**3 - 3*k**2 - 3*k + 5. Let j be t(1). Suppose 1/2 - m + 1/2*m**j = 0. What is m?
1
Let x(s) be the second derivative of -41*s + 0*s**3 + 1/5*s**5 + 5/3*s**4 + 0*s**2 + 0. Solve x(j) = 0.
-5, 0
Let p(z) be the third derivative of -z**8/70560 + z**6/2520 - z**5/12 - 8*z**2. Let g(y) be the third derivative of p(y). Factor g(x).
-2*(x - 1)*(x + 1)/7
Let v = 450 + -448. Find o such that 3/8*o**3 + 0 + 0*o - 3/4*o**4 + 3/8*o**5 + 0*o**v = 0.
0, 1
Let u(g) = -g**3 - 20*g**2 - 19*g + 3. Let p be u(-19). Solve -53*o**2 + 4*o**4 + 8*o**3 + 22*o**p + 4*o**4 - 30*o + 8 + 37*o**2 = 0 for o.
-4, -1, 1/4, 1
Let s be ((-10)/36)/(700/(-84)). Let t(w) be the third derivative of 0*w**5 + 0*w**3 + 0 + 0*w + 7*w**2 + 1/6*w**4 - s*w**6. Factor t(c).
-4*c*(c - 1)*(c + 1)
Let w(m) = -66*m**4 - 183*m**3 - 27*m**2 - 27*m. Let j(z) = -5*z**4 - 14*z**3 - 2*z**2 - 2*z. Let v(i) = 27*j(i) - 2*w(i). Let v(r) = 0. Calculate r.
-4, 0
Suppose -5*g + 5*l = -30, g = 2*l - 5*l + 18. Factor g*f**4 + 12*f**2 - 6*f**3 - 22*f**2 + 11*f**2.
f**2*(3*f - 1)**2
Let o(x) be the third derivative of -19*x**5/5 - 77*x**4/8 - x**3/2 + 4*x**2 + 2. Factor o(l).
-3*(l + 1)*(76*l + 1)
Let q(m) be the second derivative of m**7/21420 + m**6/3060 - m**5/340 - 13*m**4/6 - 25*m. Let p(g) be the third derivative of q(g). Solve p(f) = 0 for f.
-3, 1
Determine d so that -56/9*d - 2/9*d**2 - 64/3 = 0.
-24, -4
Let k(w) = -5*w**3 - 6*w - 6. Let i(o) = -4*o**3 + 14*o**2 - 1 - o - 14*o**2 + 3*o**3. Let g(a) = -6*i(a) + k(a). Factor g(j).
j**3
Let t(q) be the first derivative of 2*q**6 + 76*q**5/5 + 33*q**4 - 4*q**3 - 80*q**2 - 48*q + 9. Determine c, given that t(c) = 0.
-3, -2, -1/3, 1
Let n(u) be the second derivative of -2/35*u**6 - 1/21*u**4 + 0*u**3 + 2/147*u**7 + 0 + 3/35*u**5 + 9*u + 0*u**2. Find y, given that n(y) = 0.
0, 1
Let p(j) be the second derivative of 0 + 0*j**4 + 3*j + 0*j**3 + 1/150*j**5 + 5/2*j**2. Let s(u) be the first derivative of p(u). Factor s(w).
2*w**2/5
Factor -40 - 2/3*n**2 + 34/3*n.
-2*(n - 12)*(n - 5)/3
Let h(x) be the second derivative of 9*x**6/20 - 18*x**5/5 + 13*x**4/2 - 4*x**3 - 8*x - 5. Find d, given that h(d) = 0.
0, 2/3, 4
Let w(d) be the second derivative of -4/13*d**2 - d + 4/39*d**3 + 0 - 1/78*d**4. Factor w(x).
-2*(x - 2)**2/13
Let p(b) be the third derivative of b**6/420 + b**5/10 + 5*b**4/21 + 528*b**2. Factor p(n).
2*n*(n + 1)*(n + 20)/7
Let h(u) be the second derivative of -u**6/480 + u**5/8 - 25*u**4/8 - 2*u**3/3 + u + 26. Let a(y) be the second derivative of h(y). Factor a(t).
-3*(t - 10)**2/4
Suppose 5*c = 4*q + 184, -3*q - 23 = -c + 5. Factor -12*r**4 + 2*r**3 + 11*r**3 - 8*r**2 + 7*r**3 + c*r**4.
4*r**2*(r + 1)*(7*r - 2)
Let g(s) be the third derivative of -8*s**7/105 - s**6/6 + s**5/5 + 5*s**4/6 + 2*s**3/3 - 106*s**2. Suppose g(a) = 0. Calculate a.
-1, -1/4, 1
Let p be 128/12*1/(-4)*-6. Let k be 1 - 20/p - (-30)/72. Factor 0 + 1/6*q**5 - k*q**3 - 1/3*q**4 + 1/3*q**2 + 0*q.
q**2*(q - 2)*(q - 1)*(q + 1)/6
Factor -174*r + 10*r**2 + 0*r**2 + 74*r - 8*r**2 + 98.
2*(r - 49)*(r - 1)
Let n(v) be the first derivative of 14*v**6/15 - 2*v**5/5 - 7*v**4/3 + 4*v**3/3 + 7*v - 2. Let o(c) be the first derivative of n(c). Factor o(b).
4*b*(b - 1)*(b + 1)*(7*b - 2)
Let c(a) = -a**2 - 27*a + 18. Let l(j) = -j**2 - 28*j + 21. Let y(n) = -4*c(n) + 5*l(n). Suppose y(i) = 0. What is i?
-33, 1
Suppose 4*j = -4*h + 96, 8 = -0*h - 2*h. Factor 5*o**4 + 9*o**3 + 2*o + o**5 - 48*o**2 + 27*o**2 + j*o**2.
o*(o + 1)**3*(o + 2)
Let u(x) = x**3 - 13*x**2 - 13*x - 12. Let w be u(14). Let l = -3 + 5. Solve -4*r**w + r**3 + 8 - 2*r**3 - r**3 - 2*r**l = 0.
-2, 1
Let 319*n + 5*n**4 + 20 + 75*n**2 - 151*n - 148*n - 85*n - 35*n**3 = 0. Calculate n.
1, 4
Factor 266/11*r + 6 + 8/11*r**2.
2*(r + 33)*(4*r + 1)/11
Let q(u) be the third derivative of 0*u**3 + 1/102*u**4 + 0*u + 0 + 10*u**2 + 1/510*u**5. Find l, given that q(l) = 0.
-2, 0
Let o(x) = x**2 + 6*x + 8. Let s be o(-5). Suppose s*g + 3 = 4*g. Factor -26*q**3 + 2 - 13*q - 11*q**3 + 30*q**2 + 16*q**4 - 3*q**5 + 5*q**g.
-(q - 2)*(q - 1)**3*(3*q - 1)
Let q(y) = -y - 13. Let l(d) = -5*d + 20. Let w be l(7). Let h be q(w). Let -15/7*f + 3/7 + 12/7*f**h = 0. Calcula