**2 + 5*m**2 + 25*m**4 = 0.
-2, 1/4, 2/3, 1
Let h(m) = -3*m**3 - 9*m**2 + 7*m + 5. Let y(j) = -6*j**2 + 8*j - 2 + 8 - 4*j**2 - 4*j**3. Let w(q) = -6*h(q) + 5*y(q). Factor w(g).
-2*g*(g - 1)**2
Let w be ((-20)/(-16))/(3/(-6)) - -3. Suppose 0 = -y - 7*t + 2*t - 2, -4*t - 16 = -4*y. Factor -w*p**y + 5/4*p**2 - 1/2*p + 0.
-p*(p - 2)*(2*p - 1)/4
Factor -11/7*u**3 + 0 + u**4 + 5/7*u**2 + 0*u - 1/7*u**5.
-u**2*(u - 5)*(u - 1)**2/7
Factor 9 + 11 - 48*p - 11 + 36*p**2 + 7.
4*(3*p - 2)**2
Let u(k) = -6*k**3 - 4*k**2 + 36*k - 30. Let r(x) = 14*x**3 + 9*x**2 - 73*x + 60. Let d(h) = -2*r(h) - 5*u(h). Let d(t) = 0. What is t?
-5, 1, 3
Factor 8/7 + 12/7*a**2 + 18/7*a + 2/7*a**3.
2*(a + 1)**2*(a + 4)/7
Let y(a) be the third derivative of -a**6/120 - 4*a**5/15 - 17*a**4/8 - 6*a**3 + 204*a**2. Factor y(c).
-(c + 1)*(c + 3)*(c + 12)
Let r(y) be the third derivative of -y**9/3024 + y**7/504 - 11*y**4/24 - 5*y**2. Let l(a) be the second derivative of r(a). Factor l(d).
-5*d**2*(d - 1)*(d + 1)
Let y(f) be the second derivative of -f**4/72 - 5*f**3/18 - 25*f**2/12 - 7*f + 2. Solve y(i) = 0 for i.
-5
Let b = -537 + 539. Let r(o) be the first derivative of -9/14*o**b + 9 + 0*o + 1/7*o**3. Determine t, given that r(t) = 0.
0, 3
Let q(o) = -o**3 - o**2 - 3. Let f(k) = -1 - k**3 - 9*k**2 + 18*k**2 - 8*k**2. Let h(d) = 6*f(d) - 2*q(d). Factor h(n).
-4*n**2*(n - 2)
Let x = -239 + 265. Suppose 16*r = x*r. Factor 0*f - 4/3*f**5 + 4*f**3 + 0 - 8/3*f**2 + r*f**4.
-4*f**2*(f - 1)**2*(f + 2)/3
Let o(v) = 91*v + 642. Let s be o(-7). Let k(n) = n**2 - 8*n + 7. Let d be k(7). Factor -1/4*m**3 - 1/4*m**4 + 0 + d*m + 1/4*m**s + 1/4*m**2.
m**2*(m - 1)**2*(m + 1)/4
Let j = 3558 + -7115/2. Factor j*u + 0 - 1/4*u**2.
-u*(u - 2)/4
Let o(f) be the third derivative of f**6/720 - f**5/180 - f**4/18 - 54*f**2. Factor o(n).
n*(n - 4)*(n + 2)/6
Let v(a) = a**3 - 8*a**2 - 5*a. Let k(j) = -4*j**2 - 2*j. Let h be 21/12 - 2 - 42/(-8). Let b(o) = h*k(o) - 2*v(o). Factor b(n).
-2*n**2*(n + 2)
Let t(l) be the second derivative of -l**6/1440 - l**5/120 + 5*l**4/96 + 17*l**3/6 + 15*l. Let g(c) be the second derivative of t(c). Let g(y) = 0. Calculate y.
-5, 1
Suppose 3*a + 3 = -0. Let g(q) = q**3. Let b(c) = -c**3 - 20*c**2 + 16*c. Let i(p) = a*b(p) - 5*g(p). Factor i(z).
-4*z*(z - 4)*(z - 1)
Solve 0*b + 1/3*b**3 + 14/3*b**2 + 0 = 0.
-14, 0
Let a(g) be the first derivative of -25*g**4/4 - 505*g**3/3 - 1300*g**2 - 500*g - 440. Factor a(q).
-5*(q + 10)**2*(5*q + 1)
Let r(g) be the first derivative of -g**6/6 - 13*g**5/5 - 12*g**4 - 12*g**3 - 88. What is w in r(w) = 0?
-6, -1, 0
Let o be (-4)/14 - ((-760)/14 + 1). Let h be (51 - o) + (0 - -4 - -1). Suppose -75/2*x**h + 100*x**4 + 0 - 125/2*x**5 - 2*x**2 + 2*x = 0. Calculate x.
-1/5, 0, 2/5, 1
Let b = -1574 - -1577. Suppose -3/5*w + 3/5 + 3/5*w**b - 3/5*w**2 = 0. Calculate w.
-1, 1
Let d(r) = 7*r**3 - 171*r**2 + 339*r - 181. Let u(k) = -19*k**3 + 512*k**2 - 1018*k + 542. Let j(w) = -17*d(w) - 6*u(w). Determine o so that j(o) = 0.
-35, 1
Let r(g) be the third derivative of -5*g**8/21 + 20*g**7/7 - 41*g**6/24 - 113*g**5/12 + 95*g**4/8 - 35*g**3/6 + 2*g**2 + 64*g. Determine j so that r(j) = 0.
-1, 1/4, 1, 7
Let k(b) = -b**2 + 4*b + 6. Let m be k(4). Let h be (-3 - -3)*6/m. Factor h + 1/7*l**2 - 2/7*l.
l*(l - 2)/7
Let z(a) be the third derivative of -a**6/1800 + a**5/60 - 5*a**4/24 - 19*a**3/6 - 2*a**2. Let f(u) be the first derivative of z(u). Factor f(g).
-(g - 5)**2/5
Let y = 12496/3 + -4162. Factor 4/3 - 4/3*t**2 + y*t**3 - 10/3*t.
2*(t - 1)*(t + 1)*(5*t - 2)/3
Let a(y) = 2*y - 6. Let u be a(4). Suppose -3*s = -t - 3, -u = -2*t + 4. Factor -1 + 7*d**s + 1 - 3*d**4 - 4*d**2.
-3*d**2*(d - 1)*(d + 1)
Suppose q + 2*n - 5*n = -11, 4*q + 2*n - 26 = 0. Suppose -10 = -3*o - o + 2*t, q*t - 4 = -4*o. Factor -1/3*f**o + 1/6*f + 1/6*f**3 + 0.
f*(f - 1)**2/6
Suppose -26*g + 34*g - 40 = 0. Let h(a) be the first derivative of -9 - 1/6*a**2 + 1/3*a**3 + 1/15*a**g + 0*a - 1/4*a**4. Factor h(n).
n*(n - 1)**3/3
Suppose 4*t - 176 = 72. Let w = -60 + t. Factor 0 + 1/3*d + 1/3*d**3 + 2/3*d**w.
d*(d + 1)**2/3
Let p(v) = -44*v**2 - 18*v - 6. Suppose -4*q + 2 + 14 = 0. Let g(t) = 6*t**2 + 0 - q*t**2 - 1 - 3*t**2. Let x(c) = 4*g(c) - p(c). Let x(h) = 0. What is h?
-1/4, -1/5
Let x be (-13 + -9 + 20)*(-2 - 2/(-2)). Factor 2/13*s**x - 4/13*s + 2/13.
2*(s - 1)**2/13
Factor -11/3*a**2 - 7 + 1/3*a**3 + 31/3*a.
(a - 7)*(a - 3)*(a - 1)/3
Let c be (3 + -2)/(2/10). Suppose 3*b = 8*d - 3*d + 22, 0 = -c*b - 3*d + 14. Factor 4 - 3*z**4 - 6*z**2 - 7*z**b - 5*z**3 + 6*z - 9*z**3 + 4*z**4.
-2*(z + 1)**3*(3*z - 2)
Let b(q) = q**2 + 12*q + 40. Let u be b(-6). Factor 0*j + 1/2*j**u - j**3 + 1/2*j**2 + 0.
j**2*(j - 1)**2/2
Let t(x) be the first derivative of 5*x**3/3 + 80*x**2 + 330. Suppose t(p) = 0. What is p?
-32, 0
Solve -82/5*f**3 + 31/5 - 1/10*f**5 - 219/10*f + 143/5*f**2 + 18/5*f**4 = 0 for f.
1, 2, 31
Suppose 4*y - 8 - 52 = 0. Factor -18*r**4 + 13*r**3 - 28*r - 2*r**5 - 73*r**3 - 92*r**2 - 18 - 53*r + y*r.
-2*(r + 1)**3*(r + 3)**2
Let i(n) be the first derivative of 4*n**3/9 - 6*n**2 + 32*n/3 + 11. Factor i(k).
4*(k - 8)*(k - 1)/3
Suppose 80 = 11*c - 9*c. Let p be ((-8)/(-5) - 2)/(c/(-25)). Determine h so that p*h + 3/4*h**2 + 0 + 3/4*h**3 + 1/4*h**4 = 0.
-1, 0
Let p(n) = -18*n**2 + 116*n - 13. Let y(a) = -73*a**2 + 462*a - 51. Let l(o) = -26*p(o) + 6*y(o). Factor l(x).
2*(x - 8)*(15*x - 2)
Let v be (-1)/((-15)/6)*(-65)/(-52). Factor 1/2*z - 1/2*z**3 + v - 1/2*z**2.
-(z - 1)*(z + 1)**2/2
Let d(p) = 5*p**4 + 6*p**3 - 22*p + 7. Let t(s) = -2*s**4 - 3*s**3 + 10*s - 3. Let g(f) = 6*d(f) + 14*t(f). Find q, given that g(q) = 0.
-1, 0, 2
Let l = 2/135 - -376/135. Factor -4/5 - 18/5*n - l*n**2.
-2*(n + 1)*(7*n + 2)/5
Suppose -4*v + 2*v + 4*z - 6 = 0, -v + 7 = 3*z. Let f be (-7 - (-5 - 0))/((-1)/v). Factor -2/3*t**f + 2/3 - 1/3*t**3 + 1/3*t.
-(t - 1)*(t + 1)*(t + 2)/3
Suppose -875 = 66*l - 1139. Suppose 2/9*w**3 + 0 - 2/9*w**2 + 2/9*w**l - 2/9*w = 0. What is w?
-1, 0, 1
Let g(h) = 5*h - 17. Let m be (2/(16/(-12)))/(6/(-16)). Let o be g(m). Factor 1/3*w**4 + 0 - 1/3*w**o - 1/3*w**2 + 1/3*w.
w*(w - 1)**2*(w + 1)/3
Suppose -129*i + 45 = 5*o - 133*i, 4*o - 3*i = 35. Let x(v) be the first derivative of 0*v**3 + 0*v**5 + 3/2*v**4 - 3/2*v**2 - o - 1/2*v**6 + 0*v. Factor x(c).
-3*c*(c - 1)**2*(c + 1)**2
Suppose 3*g = 2*g + 24. Let m be (-8)/g - (-7)/3. Solve 0*p**2 + 2*p**3 + 0*p - 3*p**2 - p**m + 2*p = 0.
0, 1
Let a = -15151 - -15154. Suppose -5*t + 5*t**a - 5/3 + 5/3*t**2 = 0. What is t?
-1, -1/3, 1
Let 16*x**2 - 4*x**5 + 32*x + 94*x**3 - 24*x**3 - 94*x**3 - 20*x**4 = 0. What is x?
-2, 0, 1
Let y = 1401/524 + 10/131. Let h = -17/12 + y. Factor -h*c - 2/3 - 2/3*c**2.
-2*(c + 1)**2/3
Let w(a) = -3*a**3 - 5*a**2 - 7*a + 5. Let i(j) = -8 + 3*j**3 + 11*j - 68*j**2 + 133*j**2 + 2*j**3 - 57*j**2. Let g(m) = -5*i(m) - 8*w(m). Factor g(c).
-c*(c - 1)*(c + 1)
Let m(j) be the first derivative of 0*j**2 - 58 + 0*j**3 + 0*j - 1/10*j**4 + 2/5*j**5. Factor m(v).
2*v**3*(5*v - 1)/5
Let q(y) be the second derivative of -1/90*y**4 + 2/15*y**2 - 1/15*y**3 + 1/50*y**5 + 0 - 1/225*y**6 - 6*y. Let q(d) = 0. Calculate d.
-1, 1, 2
Let s(z) = -z - 1. Let v be s(-5). Suppose v = 5*u + 3*w, -w = -3*w - 4. Solve 29*o**4 - 2 - 4*o**3 - o**5 + 3*o**5 - 31*o**4 + 4*o**2 + u*o = 0.
-1, 1
Let j(g) be the second derivative of -g**4/48 - 5*g**3/12 - 25*g**2/8 + 64*g - 2. Factor j(a).
-(a + 5)**2/4
Determine u, given that 150*u**3 + 22801/2 + 11099*u**2 - 22650*u + 1/2*u**4 = 0.
-151, 1
Let 4 - 4*u**2 + 4*u**3 + 188*u - 200*u + 8*u**3 = 0. What is u?
-1, 1/3, 1
Let u(o) = -2*o**3 - 2*o**2 + 3*o + 3. Let z be u(-2). Find f, given that -f**3 + 5*f**4 + 10*f**5 + z*f - 14*f**3 - f**2 - 4*f**2 = 0.
-1, 0, 1/2, 1
Let a(j) be the third derivative of j**6/4 + j**5/24 - 5*j**4/8 - 84*j**2. Factor a(g).
5*g*(3*g - 2)*(4*g + 3)/2
Let b = -33/52 - -515/156. Let -8/3 + 22/3*r**2 + 4*r**3 - 6*r**4 - b*r = 0. What is r?
-2/3, 1
Let y(b) be the second derivative of 14*b - 1/33*b**3 - 1/110*b**5 + 0 + 1/33*b**4 + 0*b**2. Let y(w) = 0. Calculate w.
0, 1
Let x(m) be the first derivative of -2*m**6/195 + m**5/130 + m**4/78 + 26*m + 18. Let v(g) be the first derivative of x(g). Factor v(q).
-2*q**2*(q - 1)*(2*q + 1)/13
Suppose 83*k = -406 + 406. Solve k + j*