(16*g + 11)**3
Let m(l) be the third derivative of 0 + 1/36*l**4 + 0*l + 0*l**3 + 13*l**2 - 1/180*l**5. Factor m(n).
-n*(n - 2)/3
Solve 0 - 6/13*m**4 + 24/13*m + 18/13*m**3 + 46/13*m**2 - 2/13*m**5 = 0.
-4, -1, 0, 3
Let j(a) = 3*a**5 - 39*a**4 + 14*a**3 + 39*a**2 - 17. Let n(u) = u**5 - 13*u**4 + 5*u**3 + 13*u**2 - 6. Let m(y) = -6*j(y) + 17*n(y). What is l in m(l) = 0?
-1, 0, 1, 13
Let y(g) be the second derivative of -g**6/285 + 17*g**5/190 - 34*g**4/57 + 100*g**3/57 - 48*g**2/19 - 70*g. Suppose y(p) = 0. What is p?
1, 2, 12
Let u(r) = -2*r**3 - 4*r**2 + 82*r - 511. Let c(g) = g**3 + g**2 - 42*g + 255. Let l(w) = -7*c(w) - 3*u(w). Factor l(j).
-(j - 6)**2*(j + 7)
Suppose -t + 4*o + 2 = -20, -4*o - 14 = 3*t. What is m in 4*m**4 - 2*m**2 - t*m**2 - 3*m**2 + 4*m**5 + 4*m - m**2 - 8*m**3 + 4 = 0?
-1, 1
Factor 2*y - 11/2*y**3 - 12*y**2 + 16 - 1/2*y**4.
-(y - 1)*(y + 2)**2*(y + 8)/2
Suppose 0 = 5*l - 12 - 3. Let i(o) be the third derivative of 2/5*o**5 + 2/15*o**6 + 1/3*o**l + 1/2*o**4 + 0*o + o**2 + 0. Solve i(x) = 0 for x.
-1/2
Let u be (-3 - 7)*((-25)/10)/5. Let h(b) be the second derivative of 1/10*b**3 - 1/50*b**6 + 0 - 3/100*b**u + 6*b + 0*b**2 + 1/20*b**4. Factor h(g).
-3*g*(g - 1)*(g + 1)**2/5
Let y(u) be the first derivative of -1/420*u**6 - u**2 + 0*u**3 + 1 + 0*u + 2/105*u**5 - 1/21*u**4. Let h(n) be the second derivative of y(n). Factor h(d).
-2*d*(d - 2)**2/7
Let w(h) be the second derivative of -25/12*h**4 + 1/4*h**5 + 0 - 10*h**2 - 18*h + 20/3*h**3. Factor w(o).
5*(o - 2)**2*(o - 1)
Suppose 2/3*b**2 + 1/3*b + 0 = 0. What is b?
-1/2, 0
Suppose -5*w + 10*w - 5*a - 25 = 0, -23 = -3*w + 5*a. Let k = w + -2. Let d(f) = -2*f**2 - 4*f + 2. Let i(x) = 1. Let p(o) = k*d(o) + 4*i(o). Factor p(h).
2*(h + 1)**2
Find c, given that 32/9 - 8/3*c**2 + 62/9*c**3 - 56/9*c - 8/9*c**4 - 2/3*c**5 = 0.
-4, -1, 2/3, 1, 2
Let -28/3*p + 0 - 8/3*p**3 + 38/3*p**2 - 2/3*p**4 = 0. Calculate p.
-7, 0, 1, 2
Let m be ((-12)/10)/(16/(-40)). Find o such that -2*o**3 - 18*o**m - 2*o**2 - 4*o**2 + 10*o**2 = 0.
0, 1/5
Let g be 2 + -1 + -1 + 2. Factor 10*x - 4*x**3 + 1 - 4*x**g - 6*x + 3.
-4*(x - 1)*(x + 1)**2
Suppose 14 = 2*w + w + t, 3*t - 6 = 3*w. Suppose 4*g = 2*m + w*m + 20, 5*m - 20 = -4*g. Factor 5*l**5 + l**g - 2*l**3 + 0*l**5 + 4*l**4.
2*l**3*(l + 1)*(3*l - 1)
Let z(k) = -20*k**2 - 32*k - 12. Let p(q) = q**2 - q + 1. Let y be 0*(-1)/(-4) - -4. Let g(t) = y*p(t) + z(t). Factor g(n).
-4*(n + 2)*(4*n + 1)
Let p = -36 - -39. Find b such that b**4 + 15*b**2 + 5*b + p*b**3 - 16*b**4 - 7*b - b = 0.
-1, 0, 1/5, 1
Let b(a) be the second derivative of 169*a**5/35 - 130*a**4/7 + 72*a**3/7 - 16*a**2/7 + 287*a. Factor b(m).
4*(m - 2)*(13*m - 2)**2/7
Let r(z) be the first derivative of 2*z**3/3 - 38*z**2 - 160*z + 735. Factor r(f).
2*(f - 40)*(f + 2)
Let y be ((-2)/(-9))/((-70)/(-3)). Let z(b) be the third derivative of 0*b + 3*b**2 + 1/30*b**5 - 1/60*b**6 + 0 + 1/12*b**4 + 0*b**3 - y*b**7. Factor z(f).
-2*f*(f - 1)*(f + 1)**2
Let u(t) be the third derivative of -t**6/40 - 7*t**5/20 + 5*t**4/4 + 8*t**3 - 4*t**2 + 4*t. Solve u(h) = 0 for h.
-8, -1, 2
Let i(u) be the second derivative of u**6/75 - u**5/50 - 2*u**4/15 + 4*u**3/15 + 47*u + 1. Factor i(w).
2*w*(w - 2)*(w - 1)*(w + 2)/5
Let o(r) be the first derivative of -4*r**5 + 3*r**4 + 20*r**3/3 - 6*r**2 - 94. Solve o(p) = 0.
-1, 0, 3/5, 1
Let 42*x - 3/2*x**2 - 81/2 = 0. What is x?
1, 27
Let k(b) be the third derivative of 0*b - 1/200*b**5 - 1/60*b**4 + 0 - 1/3*b**3 - 1/1800*b**6 + 2*b**2. Let x(q) be the first derivative of k(q). Factor x(a).
-(a + 1)*(a + 2)/5
Let k(g) be the first derivative of g**5/3 - g**4/12 - 11*g**3/3 - 43*g**2/6 - 16*g/3 - 83. Solve k(a) = 0.
-1, 16/5
Let t(g) = -31*g + 189. Let u be t(6). Find k, given that 6/7*k**u + 0 + 2/7*k**5 + 8/7*k**2 - 8/7*k**4 - 8/7*k = 0.
-1, 0, 1, 2
Let x = 2414 - 2411. Suppose -48/13*a - 16/13*a**x - 44/13*a**2 - 2/13*a**4 - 18/13 = 0. Calculate a.
-3, -1
Let x = 1793/141 - 159/47. Let 4*d**4 - 38/3*d**3 + x*d**2 - 4/3 + 2/3*d = 0. Calculate d.
-1/3, 1/2, 1, 2
Let l(k) = k**2 - 8*k - 38. Let c be l(15). Suppose 4*z = 83 - c. Factor 0*j**3 - 6/5*j**2 + 3/5*j**z + 3/5 + 0*j.
3*(j - 1)**2*(j + 1)**2/5
Suppose 23*y - 24 = 17*y. Suppose y*f = 19*f. Factor f - 2/11*m**2 - 2/11*m + 2/11*m**3 + 2/11*m**4.
2*m*(m - 1)*(m + 1)**2/11
Let j = 17345/3759 - 23/537. Find m, given that -10/7*m**2 - 8/7 + 2*m**3 - j*m = 0.
-1, -2/7, 2
Suppose -6345*b - 1813 - 172*b**2 - 85*b**2 - 10*b**3 + 7*b**3 - 16*b**2 - 4262 = 0. What is b?
-45, -1
Let i = 73615/3 - 24533. Factor 40/9*z + 4/9*z**4 + i*z**2 + 8/3*z**3 + 4/3.
4*(z + 1)**3*(z + 3)/9
Let h(g) be the second derivative of 0 - 1/2*g**2 + 6*g - 13/24*g**4 + 1/10*g**5 + 11/12*g**3. Factor h(c).
(c - 2)*(c - 1)*(4*c - 1)/2
Factor -70*o**4 + 36*o**4 + 38*o**4 + 56*o**2 - 36*o**3.
4*o**2*(o - 7)*(o - 2)
Let f(l) be the second derivative of 8/5*l**2 + 0 + 1/30*l**4 + 3*l + 2/5*l**3. Factor f(b).
2*(b + 2)*(b + 4)/5
Let v(g) be the second derivative of -g**5/2 + 146*g**4/3 - 4321*g**3/3 + 1682*g**2 - 193*g. Factor v(t).
-2*(t - 29)**2*(5*t - 2)
Let q be 14/(-4)*(1 + -3). Suppose 1 + q = 4*c. Let 0*g**2 + g**2 - 4*g**2 - g**3 + 6*g - c*g**3 = 0. What is g?
-2, 0, 1
Let p = -27 - -28. Let g be ((-21)/(-9) + -2)/p. Let 2*n + g*n**2 + 3 = 0. What is n?
-3
Let i(p) = -3*p**2 - 79*p + 28. Let o(h) = 4*h**2 + 80*h - 28. Let w(d) = 2*i(d) + 3*o(d). Factor w(l).
2*(l + 14)*(3*l - 1)
Factor -6292*h - 5592*h + 6856*h - h**3 - 119*h**2 - 328509 - 88*h**2 - 9255*h.
-(h + 69)**3
Let a be 3/((-180)/24) + (-34)/(-10). Let l(p) = -p**3 + 3*p**2 - 2. Let y be l(2). Find h, given that 4/7*h**4 + 40/7*h + 12/7 + 48/7*h**y + 24/7*h**a = 0.
-3, -1
Suppose 4*z = -0*z + 24. Suppose -l + 3*k = -0*k + z, 21 = 3*l + 4*k. Factor -l*g**3 + 4*g**2 - 4*g**2 + g**3 - 2*g**2.
-2*g**2*(g + 1)
Suppose 4*h - 8 = -3*f, -6 = -3*h - 34*f + 36*f. Let v be -2 - -4 - 2*1. Factor 1 - u**4 + v - 2 + h*u**2.
-(u - 1)**2*(u + 1)**2
Let d be (-3*2)/(2/6). Let a = -14 - d. Factor -7*t**2 - 1 + a*t + 1 + 9*t**2.
2*t*(t + 2)
Let x be (-104)/(-6)*66/44. Suppose -20 - v + x*v + v**2 - v**2 - 5*v**2 = 0. Calculate v.
1, 4
Let z(x) be the third derivative of 0*x + 0 - 1/6*x**3 + 0*x**5 - 3*x**2 + 0*x**4 - 1/1440*x**6. Let i(y) be the first derivative of z(y). Factor i(v).
-v**2/4
Let b(l) be the third derivative of 0*l - l**3 + 0 - 1/8*l**4 + 1/20*l**5 - 16*l**2. Let b(c) = 0. What is c?
-1, 2
Let a(z) be the second derivative of -z**4/3 - 70*z**3/3 + 72*z**2 + 24*z. Factor a(b).
-4*(b - 1)*(b + 36)
Let i = -5 + 9. Suppose -3*w - 11 = -i*s, -4*s + 5*w + 3 + 2 = 0. Determine o so that 3*o**4 - 15*o**2 + 9*o**3 + 4*o**5 + 2*o**s + 6*o - 9*o**5 = 0.
-2, 0, 1
Factor -8*x**4 + 3516*x**3 - 8*x**2 - 3524*x**3 + 6*x**4.
-2*x**2*(x + 2)**2
Let q(a) be the first derivative of a**5/50 - a**4/30 - 2*a**3/15 + 21*a + 19. Let c(h) be the first derivative of q(h). Solve c(x) = 0 for x.
-1, 0, 2
Let j(n) be the third derivative of n**8/168 - 2*n**7/35 + 11*n**6/60 - n**5/5 - 9*n**2 + 7. Solve j(q) = 0 for q.
0, 1, 2, 3
Let b(j) be the second derivative of j**6/72 - j**5/24 - 13*j**3/6 + 9*j. Let g(a) be the second derivative of b(a). Factor g(s).
5*s*(s - 1)
Let b be -6 + 9 + (-1 - 1). Solve b - 4*x + 4*x**3 + 4*x**2 + 5 + 2 - 12*x**2 = 0.
-1, 1, 2
Let j(p) = 1550*p + 10855. Let y be j(-7). What is l in -5/2 - 5/2*l**2 - y*l = 0?
-1
Find w, given that 694*w**3 - 328*w**2 - 35*w**4 + 360 - 1222*w**2 + 780*w - 249*w**3 = 0.
-2/7, 1, 6
Suppose -26*t**3 + 0 + 4230/7*t**2 + 2/7*t**4 - 4050/7*t = 0. What is t?
0, 1, 45
Let h = 370 - 368. Factor 0*n**4 + 0*n**3 + 0*n**h + 2/9*n**5 + 0*n + 0.
2*n**5/9
Let l be (4/(-5))/(5/((-75)/6)). Factor 3*c**3 + 12*c**l + 13 + 15*c + 9 - 16.
3*(c + 1)**2*(c + 2)
Let t(h) be the first derivative of h**5/5 - 7*h**4/4 + 16*h**3/3 - 6*h**2 - 75. Factor t(r).
r*(r - 3)*(r - 2)**2
Let r(k) be the first derivative of k**3/24 - k**2/2 - 6*k + 294. Solve r(h) = 0 for h.
-4, 12
Let g(h) be the third derivative of h**8/1680 - 29*h**7/2100 + 7*h**6/100 - 79*h**5/600 + 11*h**4/120 + 5*h**2 - 5. Let g(w) = 0. What is w?
0, 1/2, 1, 2, 11
Factor 3/7 + 33/7*z - 78/7*z**2.
-3*(2*z - 1)*(13*z + 1)/7
Factor -8*k**3 - k**4 + 226*k**2 - 491*k**2 + 245*k**2 - 16*k.
-k*(k + 2)**2*(k + 4)
Let p(w) be the 