3)*(4*x - 1)**2
Let u = 643/14280 + -2/595. Let a(t) be the second derivative of -2*t - u*t**4 + 0 + 0*t**2 - 1/12*t**3. Factor a(f).
-f*(f + 1)/2
Let w(y) be the second derivative of 7*y**5/130 + 5*y**4/13 + 12*y**3/13 + 8*y**2/13 - 4*y - 19. Solve w(z) = 0.
-2, -2/7
Find d such that 0 - 6/11*d**2 - 10/11*d**3 - 2/11*d**4 + 18/11*d = 0.
-3, 0, 1
Let m(l) be the first derivative of -8/15*l**5 - 3 + 0*l + 1/3*l**6 + 4/9*l**3 + 0*l**2 - 1/6*l**4. Determine y, given that m(y) = 0.
-2/3, 0, 1
Let j(t) be the second derivative of t**4/32 + t**3/4 - 63*t**2/16 + 2*t - 10. Factor j(n).
3*(n - 3)*(n + 7)/8
Let -72/7*x + 4/7*x**3 + 0 + 4*x**2 = 0. Calculate x.
-9, 0, 2
Let j(k) = -23 - 5*k + 9 - 18. Let d be j(-7). Factor 2/3*h + 1/3*h**2 - 1/3*h**d + 0.
-h*(h - 2)*(h + 1)/3
Let -12/7 + 12/7*f - 3/7*f**2 = 0. Calculate f.
2
Suppose 15 - 20 = -5*p. Let a be (18 - 14)*((2 - 2) + p). Find j, given that 2*j**3 + 10/9*j**2 - 2*j - 14/9*j**a + 4/9 = 0.
-1, 2/7, 1
Let t(o) be the first derivative of 26 + 19/9*o**3 - 4/3*o - o**5 + 2/3*o**2 - 1/3*o**4. Determine f so that t(f) = 0.
-1, -2/3, 2/5, 1
Let o(u) = -2*u**3 - 35*u**2 + 101*u - 100. Let d(b) = 5*b**3 + 103*b**2 - 304*b + 300. Let y(p) = 3*d(p) + 8*o(p). Factor y(g).
-(g - 25)*(g - 2)**2
Let n(q) be the first derivative of -3*q**4/4 + 11*q**3/2 - 3*q**2 - 15*q/2 + 191. Factor n(d).
-3*(d - 5)*(d - 1)*(2*d + 1)/2
Suppose 0 = -5*f + 7*d - 5*d + 749, 0 = 2*f - 5*d - 308. Let n = 746/5 - f. What is t in 0 + n*t**2 - 3/5*t = 0?
0, 3
Let -4*y**2 - 23*y + 59*y + 16 - 36*y = 0. What is y?
-2, 2
Let f(o) be the second derivative of 0 - 5/24*o**4 + 5/2*o**2 + 5/12*o**3 + 27*o. Factor f(z).
-5*(z - 2)*(z + 1)/2
Let i(h) be the first derivative of -1/4*h**4 - 1/20*h**5 + 5/6*h**3 - h**2 - 3*h - 3 + 1/30*h**6. Let k(y) be the first derivative of i(y). Factor k(g).
(g - 1)**3*(g + 2)
Let n = -33 + 35. Solve -q**2 - 7*q**n + 2 - 5*q + 11*q**2 = 0.
2/3, 1
Suppose 5*y - 50 = 30. Let p be 2/(-3) + y/6. Factor 1 - 6*d**2 + d + d + 2*d**2 + 5*d**p.
(d + 1)**2
Let o(c) = -5*c**4 - 14*c**3 + 25*c**2 - 9*c - 3. Let j = 1 - -5. Let v(x) = x**4 - x**2 - x - 1. Let z(y) = j*v(y) - 2*o(y). Factor z(f).
4*f*(f - 1)*(f + 3)*(4*f - 1)
Let p(f) be the second derivative of -1/16*f**4 + 0*f**2 + 11*f + 1/40*f**5 + 1/24*f**3 + 0. Factor p(s).
s*(s - 1)*(2*s - 1)/4
Suppose 99/4*o - 19/4*o**2 + 1/4*o**3 - 81/4 = 0. What is o?
1, 9
Let p(y) be the third derivative of 1/1155*y**7 + 12*y**2 + 0*y + 0*y**3 + 0 + 0*y**4 + 1/220*y**6 + 0*y**5. Factor p(a).
2*a**3*(a + 3)/11
Determine l, given that 33/7*l**3 - 3/7*l**5 + 0*l**4 - 54/7*l**2 + 0 + 24/7*l = 0.
-4, 0, 1, 2
Let q(y) be the first derivative of -4*y**5/5 + y**4 - y**3/3 + 102. Factor q(m).
-m**2*(2*m - 1)**2
Let t be (-346)/60 + 6 - 8/(-48). Factor -t*j**5 + 12/5*j**3 + 0*j**4 + 0 - 16/5*j**2 + 6/5*j.
-2*j*(j - 1)**3*(j + 3)/5
What is i in i**3 + 2*i**4 - 3*i**3 + 2*i - i**4 - 50*i**2 + 49*i**2 + 0*i**4 = 0?
-1, 0, 1, 2
Let z be (-4 + 7)*4/6. Let p be 3 + (0 - (-9)/(-18)). Find b such that -5/2*b**z - 5/2*b + p*b**3 + 5/2 = 0.
-1, 1
Let u(h) = -h**2 - 9*h + 52. Let w be u(-13). Factor -3/7*p**2 - 9/7*p + w.
-3*p*(p + 3)/7
Let t(r) = -7*r**5 - 4*r**4 - 11*r**2 + 11. Let z(h) = 4*h**5 + 2*h**4 + 6*h**2 - 6. Let k(y) = -6*t(y) - 11*z(y). Determine a so that k(a) = 0.
0, 1
Let l(q) be the third derivative of -q**7/11340 - q**6/1080 - q**5/270 - 3*q**4/2 + 37*q**2. Let y(h) be the second derivative of l(h). Factor y(o).
-2*(o + 1)*(o + 2)/9
Let a(p) be the third derivative of -p**7/1680 - p**6/480 - p**5/480 - 117*p**2 - p. Factor a(x).
-x**2*(x + 1)**2/8
Let i(q) be the second derivative of q**8/336 - q**6/60 + q**4/24 - 11*q**2 + 10*q. Let f(u) be the first derivative of i(u). Factor f(g).
g*(g - 1)**2*(g + 1)**2
Let l(o) = -22*o - 48. Suppose 0 = x + 2*z + 3, 4*x = -0*z - 4*z + 8. Let a(q) = q**2 - 67*q - 143. Let d(m) = x*l(m) - 2*a(m). Find t, given that d(t) = 0.
-5
Let a(b) = -77*b + 1775. Let o be a(23). Let -1/10*l**5 - 1/5*l + 3/10*l**3 + 0 - 1/10*l**o + 1/10*l**2 = 0. Calculate l.
-2, -1, 0, 1
Factor 6*c**3 - 34299*c**2 + 34299*c**2 + 3*c**4.
3*c**3*(c + 2)
Let a be -5*4*((-9)/(-6) - -2). Let p = a + 214/3. Factor 0*m**3 + 0 - p*m**4 + 2/3*m**5 + 4/3*m**2 - 2/3*m.
2*m*(m - 1)**3*(m + 1)/3
Factor -204*v**3 - 5184 - 1/2*v**5 - 16*v**4 - 4104*v - 1296*v**2.
-(v + 6)**4*(v + 8)/2
Let a(q) be the third derivative of -q**6/360 - q**5/30 + q**4/72 + 5*q**3/3 - 633*q**2. Suppose a(m) = 0. What is m?
-5, -3, 2
Let b be (-17)/(-3) - (-2)/(2 - -4). Solve 59*f**3 - b*f**2 - 18*f**2 - 63*f**3 - 36*f = 0 for f.
-3, 0
Let t be (2 + -1 - 2) + 4. Factor -2*a**5 - 13*a**3 - 50*a**2 + 3*a**3 + 18*a**4 + 0*a**5 - 20*a**t.
-2*a**2*(a - 5)**2*(a + 1)
Let x be ((-228)/(-8) - 1) + 1/2. Suppose x*u = 26*u. Factor 2/3*v + u - 2/3*v**2.
-2*v*(v - 1)/3
Let b(i) = 4*i**3 - 77*i**2 + 127*i - 69. Let p(o) = 6*o**3 - 115*o**2 + 191*o - 103. Let k(r) = -7*b(r) + 5*p(r). What is u in k(u) = 0?
1, 16
Let i = -12 + 17. Suppose -10 = 4*l - i*u - 0, 2*l - 5*u = -10. Factor 3 + 3*a**3 + 2*a - 5*a**3 - 2*a**2 + l*a - 1.
-2*(a - 1)*(a + 1)**2
Determine o, given that 218/7*o**3 + 88/7*o**2 - 312/7*o + 10/7*o**5 - 64/7 - 108/7*o**4 = 0.
-1, -1/5, 2, 8
Let x(w) = -2*w. Let j be x(-1). Let 168*c**2 - 5*c**5 - 11*c**4 - 4*c**4 - 148*c**j = 0. Calculate c.
-2, 0, 1
Let c(u) be the third derivative of 0 + 1/10*u**5 + 0*u - 1/6*u**4 + 0*u**3 + 14*u**2 - 1/40*u**6 + 1/420*u**7. Factor c(n).
n*(n - 2)**3/2
Let a(y) be the third derivative of -y**7/420 - y**6/60 + y**4/3 - 4*y**3 - 22*y**2. Let g(s) be the first derivative of a(s). Factor g(v).
-2*(v - 1)*(v + 2)**2
Let r = 47/735 + -3/98. Let o(p) be the second derivative of -2/15*p**3 + p + 0*p**2 + 0 + r*p**4. What is t in o(t) = 0?
0, 2
What is x in -21*x**2 + 14 - 33*x**3 - 27*x**5 + 15*x**4 - 2 + 66*x**4 + 24*x - 36*x**2 = 0?
-2/3, -1/3, 1, 2
Suppose 23/11*t - 10/11 - 13/11*t**2 = 0. What is t?
10/13, 1
Let k(t) be the second derivative of 1/12*t**3 + 0 + 1/40*t**5 + 1/12*t**4 + 0*t**2 - 11*t. Factor k(a).
a*(a + 1)**2/2
Suppose -z + 4*c = -72, -2*z - 4*c = -6*z + 288. Suppose 75*l = z*l. Solve -1/3*a**3 + 0 - 1/3*a**4 + 0*a**2 + l*a = 0.
-1, 0
Let j(u) be the first derivative of 28*u**5 + 67228*u + 13720/3*u**3 - 490*u**4 - 24010*u**2 + 58 - 2/3*u**6. Suppose j(y) = 0. Calculate y.
7
Let r = 2 + 1. Factor 0 + r*q - 1 - 6*q**2 + 3*q**5 + 3*q**4 + 4 + 0 - 6*q**3.
3*(q - 1)**2*(q + 1)**3
Let s = -18771/4 - -4693. Let -1/4*a + 0 + s*a**2 = 0. Calculate a.
0, 1
Let d(v) be the third derivative of v**8/2940 - 2*v**7/735 + 2*v**6/315 + 9*v**3/2 + 23*v**2. Let w(j) be the first derivative of d(j). Solve w(t) = 0 for t.
0, 2
Suppose -8*f = -9*f + 4. Determine l so that -f*l**4 + 12*l**4 - 12*l**4 = 0.
0
Suppose -3*b = -5*c + 11, -5*c - 15*b = -20*b - 5. Let n(x) be the second derivative of 0*x**2 + 0 + 1/3*x**3 + 3*x - 1/12*x**c. Suppose n(o) = 0. What is o?
0, 2
Suppose 0 + 2/5*n**2 + 18/5*n = 0. Calculate n.
-9, 0
Let h be 1 + 36/(-28) - 1474/(-14). Let b be 59/h - (104/(-120) + 1). Factor 3/7*c**2 + 0*c - b.
3*(c - 1)*(c + 1)/7
Factor -35*v**2 + 147/4*v + 0 - 1/2*v**4 + 31/4*v**3.
-v*(v - 7)**2*(2*v - 3)/4
Let d be (0*(-1)/(-3))/(5 + -7). Let b(z) be the third derivative of 0*z + 1/14*z**3 - 7*z**2 + d - 1/84*z**4 - 1/420*z**5. Factor b(p).
-(p - 1)*(p + 3)/7
Solve 5*s + 0 + 21*s**3 - 6*s**3 - 4*s**2 - 2 - 14*s**3 = 0.
1, 2
Let o(m) be the third derivative of m**6/720 - m**5/120 + m**4/72 + 26*m**2. Suppose o(j) = 0. Calculate j.
0, 1, 2
Let r be (-280)/(-56) - 0/2. Let l(d) be the third derivative of -1/3*d**3 - 1/6*d**4 + 0 + 0*d**r - 2*d**2 + 1/30*d**6 + 0*d + 1/105*d**7. Factor l(x).
2*(x - 1)*(x + 1)**3
Let g(l) = -l**5 + 6*l**4 + 3*l**3 - 3*l**2 + 3*l. Let b(i) = 4*i**5 - 25*i**4 - 11*i**3 + 11*i**2 - 11*i. Let n(w) = 6*b(w) + 22*g(w). Solve n(t) = 0.
0, 9
Let j be (-3 - (-10)/3)*-6 - -4. Solve -78*k**2 - 17*k**j - 2*k**4 + 5*k**2 - 3*k**4 - 40*k**3 - 80*k - 25 = 0 for k.
-5, -1
Factor 0 + 0*d + 0*d**2 + 14/9*d**3 + 2/9*d**5 + 16/9*d**4.
2*d**3*(d + 1)*(d + 7)/9
Suppose -5*r + 3*r - m + 7 = 0, 6 = r + 3*m. Suppose 4*a = -r + 11. Factor 3*d**2 - d**2 - 5*d**3 + 6*d**3 + 0*d**a.
d**2*(d + 2)
Let z(s) = -2*s**3 - 62*s**2 - 32*s + 62. Let y(i) = -i**3 - 21*i**2 - 11*i + 2