 0.
2*a**2*(a + 2)/5
Let p be (-4)/(-3)*(-24)/(-16). Determine v, given that 5*v - 17*v**p + 21*v**2 - 11*v - 10*v = 0.
0, 4
Let d(s) = 155*s**3 + 440*s**2 - 110*s - 440. Let x(a) = 7*a**3 + 20*a**2 - 5*a - 20. Let q(f) = 2*d(f) - 45*x(f). Factor q(o).
-5*(o - 1)*(o + 1)*(o + 4)
Let z be (130/(-4))/(1*(-4)/8). Suppose -2*d - d**2 - z*d**4 + 2*d**3 + 66*d**4 + 0*d**2 = 0. Calculate d.
-2, -1, 0, 1
Let o = -303 - -309. Let p(q) be the third derivative of -1/24*q**4 - 6*q**2 + 0*q + 0 + 3/40*q**5 + 1/84*q**7 + 0*q**3 - 1/20*q**o. Factor p(g).
g*(g - 1)**2*(5*g - 2)/2
Let 514*b - 7710*b**2 + 32*b**2 + 1394*b**2 - 3698*b**3 - 5175*b**2 - 6 + 537*b**2 = 0. What is b?
-3, 1/43
Suppose -54 - 21*t + 3/8*t**3 - 3/8*t**2 = 0. What is t?
-4, 9
Let t(c) be the second derivative of c**6/15 - 2*c**5/5 - c**4/3 + 4*c**3 + 9*c**2 + 18*c. Factor t(o).
2*(o - 3)**2*(o + 1)**2
Let h be (-2 + -2)*(7 + -15)/80. Factor 1/5*u**5 - 3/5*u**3 + u**2 + 0 - 1/5*u**4 - h*u.
u*(u - 1)**3*(u + 2)/5
Let w(z) be the second derivative of -5*z**7/42 + 7*z**5/4 - 5*z**4/2 - 97*z. What is h in w(h) = 0?
-3, 0, 1, 2
Let u be (-2)/12 - 2/(-12). Let k be (4 + u)/(9/(-6)*-12). What is w in -k*w**2 - 2/3*w - 4/9 = 0?
-2, -1
Let c(w) be the second derivative of 0 + 11/100*w**6 - 3/200*w**5 - 7/5*w**3 + 1/60*w**7 + 9/5*w**2 - 149/120*w**4 + 3*w. Suppose c(p) = 0. Calculate p.
-3, -1, 2/7, 2
Suppose 10*y = 7*y - 2*x - 10, 0 = 3*x + 15. Factor y - 1/5*u**3 - 1/5*u**5 + 2/5*u**4 + 0*u + 0*u**2.
-u**3*(u - 1)**2/5
Solve -211*o**2 + 6 + 208*o**2 + 21*o - 24*o = 0.
-2, 1
Let l = 41856 - 41854. Factor 17/10*p**4 + 0 + 21/10*p**3 + 11/10*p**l + 1/5*p + 1/2*p**5.
p*(p + 1)**3*(5*p + 2)/10
Let q be 1/(7 + (-5 - (-69)/9) + -8). Solve -1/5*j**2 + q*j - 2/5 = 0 for j.
1, 2
Let p(w) be the second derivative of 0*w**2 + 0 + 2/3*w**3 + 8*w + 17/15*w**6 + 11/6*w**4 + 5/21*w**7 + 21/10*w**5. Factor p(b).
2*b*(b + 1)**3*(5*b + 2)
Let y be -1 + 5 - (32 + -31). Let v(u) be the second derivative of -1/42*u**4 + 0 + 0*u**2 + 2/21*u**3 + y*u - 1/70*u**5. Factor v(g).
-2*g*(g - 1)*(g + 2)/7
Factor -115*m**2 - m + 45*m**3 - 92*m + 60*m**3 - 12*m + 110 + 5*m**4.
5*(m - 1)**2*(m + 1)*(m + 22)
Let a(f) be the second derivative of f**4/16 + 47*f**3/2 + 6627*f**2/2 + 197*f. Factor a(p).
3*(p + 94)**2/4
Factor 4*h**3 + 4*h**2 + 11*h + 3*h**3 + 6 + 5*h**3 - 2*h**3 - 11*h**3.
-(h - 6)*(h + 1)**2
Let n(i) = 2*i**2 + 100*i + 342. Let p(b) = -2*b**2 - 103*b - 341. Let t(u) = 5*n(u) + 6*p(u). Factor t(a).
-2*(a + 3)*(a + 56)
Let u(p) be the first derivative of p**5/20 - 7*p**4/32 - p**3/4 + p**2 + 9. Let b(f) be the second derivative of u(f). Determine j, given that b(j) = 0.
-1/4, 2
Let q(c) be the second derivative of -c**4/18 - 7*c**3/9 - 18*c - 1. What is j in q(j) = 0?
-7, 0
Suppose 2*t = 5*u + 17, 2*u = t + 6*u + 11. Let d be (1/(t/4))/((-48)/(-36)). Find m such that -8 + 4*m**2 + 2*m**d - 4*m - 1/4*m**5 - 1/2*m**4 = 0.
-2, 2
Let p = 357546/11 + -32504. Factor 18/11 - 12/11*i + p*i**2.
2*(i - 3)**2/11
Let l be -30 + 41 + 86/(-8). Let n(y) be the second derivative of -l*y**2 - 3*y + 7/48*y**4 + 0 + 5/24*y**3. Factor n(f).
(f + 1)*(7*f - 2)/4
Let f be (552/(-161))/(2/(-133)). Let x = 228 - f. Factor x + 1/3*s - 1/3*s**2.
-s*(s - 1)/3
Let t = 5/12 - -1/12. Let w = -716 - -720. Determine h, given that -h + 0 - 1/2*h**2 + t*h**w + h**3 = 0.
-2, -1, 0, 1
Let i = 118 - 176. Let p = i + 61. Factor -1/8*g + 1/8*g**p + 0 + 0*g**2.
g*(g - 1)*(g + 1)/8
Suppose 4*h + 56 = 12*h. Let p(u) be the third derivative of 1/15*u**6 - 2/105*u**7 + 0*u + h*u**2 + 1/5*u**5 + 8/3*u**3 - 4/3*u**4 + 0. Factor p(d).
-4*(d - 2)*(d - 1)**2*(d + 2)
Let s = -517/1239 + -2/177. Let q = s + 53/91. Determine n so that -2/13*n**3 + 4/13*n**2 + q*n - 4/13 = 0.
-1, 1, 2
Let y be (27/15)/((-3)/(-15)). Suppose -4*s + 29 = y. Factor -s*g**3 + 6*g - 7 + 5 + 3*g**3 + 6.
-2*(g - 2)*(g + 1)**2
Suppose -21/5*a**2 - 14*a - 48/5 + 1/5*a**3 = 0. What is a?
-2, -1, 24
Let o be (48/18)/(6/9). Let z(n) be the third derivative of 0*n - 1/120*n**o + 0*n**3 + 1/300*n**5 + 6*n**2 + 0. Factor z(c).
c*(c - 1)/5
Let j(l) be the first derivative of l**3/27 + 5*l**2/9 + 133. Factor j(h).
h*(h + 10)/9
Let z be (-6)/16 - (-979)/264. Find f such that 2/3 - z*f + 6*f**3 + 2*f**2 = 0.
-1, 1/3
Let b be 30/4*54/(-45). Let c be (3/b)/(2/(-36)). Factor 2*n**2 - 88*n - 7*n**3 + c*n**4 + 10*n**2 + 91*n + 22*n**3.
3*n*(n + 1)**2*(2*n + 1)
Let j be 52/10 - (-3)/(-4)*(-572)/(-2145). Find h, given that -4*h + 2*h**3 + 1/2*h**4 - 4*h**2 + 8 - 1/4*h**j = 0.
-2, 2
Let w(s) = 6*s**3 - s. Let v be w(1). Solve -v*x**2 - 11 + 3 - 7 + 20*x = 0 for x.
1, 3
Let y(u) = u**5 + 5*u**4 + 2*u**3 - 20*u**2 - 28*u - 9. Let r(m) = -m**4 - m + 1. Let l(c) = -4*r(c) + 4*y(c). Factor l(d).
4*(d - 2)*(d + 1)**3*(d + 5)
Suppose -5*a = 3*t - 12 - 2, -3*a + 3*t + 18 = 0. Factor -a + 4*u + 7 - u**2 - 1 + 3*u**2.
2*(u + 1)**2
Let f = 168 - 118. Let j be f/(-10)*4/(-15). Factor 8/3*p**2 - 4/3*p + 0 - j*p**3.
-4*p*(p - 1)**2/3
Let z(c) be the first derivative of 3*c**5/5 - 6*c**4 + 21*c**3 - 27*c**2 + 133. Factor z(j).
3*j*(j - 3)**2*(j - 2)
Let z(l) be the third derivative of l**7/630 - l**5/60 + l**4/36 - 2*l**2 - 1. Let z(y) = 0. Calculate y.
-2, 0, 1
Let y be (3/63)/(-10*(-5)/900). Let k(s) = -s**2 - 5*s + 8. Let o be k(-6). Let 6/7*p + 2/7*p**3 + 2/7 + y*p**o = 0. What is p?
-1
Let m(d) = -7*d + 50. Let c be m(6). Let y be 12/(3 - (-3 - c)). Factor 4/7 + 2/7*o - y*o**2.
-2*(o - 1)*(3*o + 2)/7
Let q(y) be the second derivative of -22*y - 8/3*y**3 + 0 - 1/6*y**4 - 16*y**2. Find l such that q(l) = 0.
-4
Let f(b) be the third derivative of 0*b**3 + 0*b**4 + 1/135*b**5 - 6*b**2 + 0*b + 0 + 1/180*b**6. Determine u, given that f(u) = 0.
-2/3, 0
Suppose 12 = 3*z, z + 6 + 0 = 2*t. Solve 50*w**2 - 30*w**3 + 25*w**3 - 5 + t = 0.
0, 10
Let a(d) be the third derivative of -5*d**8/112 - 13*d**7/70 + 31*d**6/40 + d**5/4 - 13*d**4/4 + 4*d**3 + 2*d**2 + 75. Suppose a(t) = 0. Calculate t.
-4, -1, 2/5, 1
Let l(u) be the first derivative of -5*u**6/18 + 8*u**5/3 + 25*u**4/6 - 40*u**3/9 - 15*u**2/2 + 322. Determine v so that l(v) = 0.
-1, 0, 1, 9
Suppose 1/7*b**2 - 10/7*b + 25/7 = 0. What is b?
5
Let d(w) = -w**2 - 9*w - 18. Let x be d(-4). Suppose -11*h + 10*h = -x. Factor -1/5*s**h + 2/5 - 1/5*s.
-(s - 1)*(s + 2)/5
Let y(f) be the third derivative of f**10/37800 + f**9/15120 - f**8/2520 + 17*f**5/60 + 19*f**2. Let u(n) be the third derivative of y(n). Factor u(i).
4*i**2*(i - 1)*(i + 2)
Let b(w) be the second derivative of -11*w**4/18 - 14*w**3/3 + 8*w**2/3 - 2*w - 20. Suppose b(d) = 0. Calculate d.
-4, 2/11
Let u(o) = o**3 - 14*o**2 + 33*o + 3. Let r be u(3). Let f(c) be the third derivative of 0 - 1/60*c**5 - 1/6*c**r + 0*c + 1/12*c**4 - 10*c**2. Factor f(q).
-(q - 1)**2
Let p(i) be the second derivative of 5/12*i**4 + 0*i**2 + 0 + 1/2*i**5 + 22*i + 0*i**3 + 1/6*i**6. Factor p(v).
5*v**2*(v + 1)**2
Let f(q) = 20*q**3 + 72*q**2 - 128*q + 8. Let a(u) = 7*u**3 + 25*u**2 - 42*u + 3. Let o(t) = 8*a(t) - 3*f(t). Find x, given that o(x) = 0.
-6, 0, 2
Factor 6*i**2 - 2143 + 714 + 716 + 713 - i**3 - 5*i.
-i*(i - 5)*(i - 1)
Let p(r) = -8*r**3 + 10*r**2 - 16*r + 2. Let x(v) = 43*v**3 - 49*v**2 + 79*v - 11. Let i(c) = 22*p(c) + 4*x(c). Determine l so that i(l) = 0.
0, 3
Factor 2*o**4 - 56*o**2 - 59 + 4*o**5 - 60 - 44*o - 24*o**3 + 107 + 2*o**4.
4*(o - 3)*(o + 1)**4
Suppose 57 = l + 59. Let o be (-20)/6 + l + -1 + 7. Factor o*w**4 + 2/3*w**3 + 0*w**2 + 0*w + 0.
2*w**3*(w + 1)/3
Let p = 226 + -223. Let o(i) be the second derivative of -27/10*i**4 + 81/100*i**5 + 18/5*i**p + 0 - 12/5*i**2 - 4*i. Solve o(y) = 0.
2/3
Let w(v) be the third derivative of v**6/780 + 7*v**5/195 + 25*v**4/156 + 4*v**3/13 - 152*v**2. Factor w(b).
2*(b + 1)**2*(b + 12)/13
Let m = -543 + 545. Factor -5/2*q**5 + 0 - 5*q**4 + 0*q + 0*q**3 + 0*q**m.
-5*q**4*(q + 2)/2
Let u(q) be the third derivative of 1/135*q**5 + 2*q**2 + 8/27*q**3 + 2/27*q**4 + 0*q + 0. Let u(b) = 0. Calculate b.
-2
Let y be 28/(-6)*(-564)/658. Factor 16/3*o**2 + 44/3*o - y.
4*(o + 3)*(4*o - 1)/3
Suppose 0 = a - 3*v - 0 - 2, -v = 0. Factor -13*b**4 + 26*b**3 + 6*b - 8*b**2 - 18*b**a + 7*b**4.
-2*b*(b - 3)*(b - 1)*(3*b - 1)
Let o(h) be the second derivative of 1/10*h**5 + 5/6*h**4 + 7/3*h**3 + 3*h**2 + 0 