
-(c + 6)*(7*c - 2)/5
Let x be (96/120)/((-2)/(-5)). Factor -11 - 3636*l**x + 2 - 10*l + 3635*l**2.
-(l + 1)*(l + 9)
Let a(p) = -2*p**3 - 10*p**2 + 3*p + 9. Let r(i) = -36*i + 4 + 104*i - 32*i - 5*i**2 - 34*i - i**3. Let z(x) = -4*a(x) + 9*r(x). Determine s so that z(s) = 0.
-6, 0, 1
Let a(i) be the first derivative of i**6/24 - i**5/12 - 5*i**4/24 + 5*i**3/6 - 15*i**2/2 + 18. Let t(o) be the second derivative of a(o). Factor t(x).
5*(x - 1)**2*(x + 1)
Determine u, given that 0*u + 0 - 3/5*u**4 + 18/5*u**2 + 3*u**3 = 0.
-1, 0, 6
Let p(i) be the second derivative of -i**8/2240 - i**7/210 - i**6/48 - i**5/20 + 9*i**4/4 - 24*i. Let v(t) be the third derivative of p(t). Factor v(m).
-3*(m + 1)**2*(m + 2)
Factor -8/9*z - 2/9*z**2 + 40/3.
-2*(z - 6)*(z + 10)/9
Let o(m) = 28*m**3 + 30*m**3 - 57*m**3. Let q(j) = 4*j**5 + 16*j**4 + 25*j**3 + 8*j**2. Let w(y) = 5*o(y) - q(y). Find d such that w(d) = 0.
-2, -1, 0
Suppose 219 = 4*w + 5*a + 5, 4 = -2*a. Suppose w - 48 = 2*k. Factor 49/4*h**k - 1 + 7*h - 7*h**3 - 45/4*h**2.
(h - 1)*(h + 1)*(7*h - 2)**2/4
Let o(v) be the second derivative of -5*v + 0*v**3 - 1/240*v**5 + 0 - 1/96*v**4 - 5/2*v**2. Let x(c) be the first derivative of o(c). Factor x(d).
-d*(d + 1)/4
Let a be 1/2 - (9879/(-74))/89. Factor 9*o + 9/2*o**4 + 18*o**a + 15*o**3 + 3/2.
3*(o + 1)**3*(3*o + 1)/2
Let a(o) = -3*o**4 + 4*o**3 - 9*o**2 + 3*o. Let l(s) = s**4 - s**2 + s. Let v(n) = -a(n) - 5*l(n). What is t in v(t) = 0?
-4, 0, 1
Let f = -4707 - -4708. Factor -1/3*t**2 - 2/3*t + f.
-(t - 1)*(t + 3)/3
Let c = 13 - 13. Suppose -58*w + 177 = w. Factor c - 13/4*z**2 - 3/4*z - z**w.
-z*(z + 3)*(4*z + 1)/4
Let x = 62349/2 - 31173. Factor -9/4*a**2 + 3/4*a**3 + 0 + x*a.
3*a*(a - 2)*(a - 1)/4
Determine i so that -219*i**2 + 102*i**2 + 116*i**2 + 12*i = 0.
0, 12
Let i(l) be the first derivative of 4/45*l**3 - 2/25*l**5 - 1/5*l**2 + 1/15*l**4 + 12 + 2/15*l + 1/45*l**6. Factor i(q).
2*(q - 1)**4*(q + 1)/15
Determine f so that -1/2*f - f**2 + 1 + 1/2*f**3 = 0.
-1, 1, 2
Let 8 - 4/3*p**5 + 32/3*p**3 - 28/3*p + 0*p**4 - 8*p**2 = 0. What is p?
-3, -1, 1, 2
Let j = 22 + -26. Let h(n) = -8*n**5 + 4*n**4 + 4*n. Let i(a) = 7*a**5 - 3*a**4 - a**3 - 3*a. Let d(b) = j*i(b) - 3*h(b). Factor d(k).
-4*k**3*(k - 1)*(k + 1)
Let y(c) be the third derivative of -c**8/30240 + c**6/270 - 3*c**5/10 - 7*c**2. Let a(g) be the third derivative of y(g). Factor a(o).
-2*(o - 2)*(o + 2)/3
Suppose -6*g + 8*g = 24. Let p be 32/g + (-6)/9. Factor 6*a - 4*a**p + a**2 + a**2 + 5*a**2.
3*a*(a + 2)
Let j be 2 + 15/(-10)*4/3. Let f(t) be the first derivative of 1/2*t**2 + 1/3*t**3 - 1 + j*t. Factor f(a).
a*(a + 1)
Let u be (-1875)/(-300) + 1*-4. Factor u*p**2 + 1/4*p**3 + 27/4 + 27/4*p.
(p + 3)**3/4
Let c(g) be the second derivative of 1/6*g**4 + 4*g**2 + g - 4/3*g**3 + 0. Suppose c(v) = 0. What is v?
2
Suppose 2/9*y**5 - 64/3*y**2 + 104/9*y**3 - 8/3*y**4 + 0 + 128/9*y = 0. Calculate y.
0, 2, 4
Let h be (1*(-18)/15)/((-972)/1440). Factor 2/9*j**2 + h*j + 32/9.
2*(j + 4)**2/9
Let d(x) be the second derivative of -x**6/40 + 3*x**5/16 + 3*x**4/16 - 17*x**3/8 + 15*x**2/4 + 3*x + 66. Let d(z) = 0. Calculate z.
-2, 1, 5
Let i(l) = -4*l**4 - 32*l**3 + 4*l**2 + 16*l - 8. Let s(u) = -u**3 - u - 1. Let f(q) = i(q) - 8*s(q). Factor f(z).
-4*z*(z - 1)*(z + 1)*(z + 6)
Suppose -556*q = -581*q + 50. Solve -4/3*u + 0 + 1/3*u**4 - q*u**3 + 3*u**2 = 0 for u.
0, 1, 4
Let g(o) = -o**3 - o**2 + 6*o + 4. Let s be g(-3). Factor 2*m + 8*m**2 + m**3 - 2*m**4 - s*m**3 + 0*m**4 - 5*m.
-m*(m - 1)*(m + 3)*(2*m - 1)
Suppose 0 = 5*w - 8*w + 15. Let a(y) = -y**3 + 4*y**2 + 3*y + 13. Let u be a(w). Factor -u + 0*z**2 - 3/2*z**3 + 9/2*z.
-3*(z - 1)**2*(z + 2)/2
Determine u so that 79*u**3 - 48*u**2 - 35*u**4 - 12*u - 5*u**5 - 142*u**3 - u**5 + 2*u**4 = 0.
-2, -1, -1/2, 0
Let o(w) = -20*w**4 - 340*w**3 - 1928*w**2 + 8432*w - 6152. Let l(m) = -7*m**4 - 113*m**3 - 642*m**2 + 2810*m - 2051. Let j(n) = 8*l(n) - 3*o(n). Factor j(b).
4*(b - 2)*(b - 1)*(b + 16)**2
Let i(z) = -4*z**4 - 4*z**3 - 2*z**2 + 12*z. Let l(x) = -13*x**4 - 11*x**3 - 7*x**2 + 38*x. Let r(t) = -7*i(t) + 2*l(t). What is d in r(d) = 0?
-2, 0, 1
Let y be (1 + 4/(-16))/(198/1056). Suppose -2/13*f**5 + 0*f + 4/13*f**y - 4/13*f**2 + 0 + 2/13*f**3 = 0. What is f?
-1, 0, 1, 2
Factor 21*s - 19*s + s - s**2.
-s*(s - 3)
Factor 164*a + 91*a + 26*a + 57*a - 11*a**2 + 10*a**2 - 28561.
-(a - 169)**2
Let z(o) be the second derivative of 0 + 12/5*o**2 + 3/10*o**4 + 6/5*o**3 - 9*o + 3/100*o**5. Let z(v) = 0. What is v?
-2
Let f(v) = 0 - 19 + 40 - 21*v**2. Suppose a - 5*a = -8. Let u(g) = -5*g**2 + 5. Let b(l) = a*f(l) - 9*u(l). Factor b(k).
3*(k - 1)*(k + 1)
Find f such that -6/7*f**2 + 130/7*f - 12 = 0.
2/3, 21
Let g(x) = -x**2 - 5*x. Let l(u) = 2*u**2 + 14*u - 1. Let s(r) = -11*g(r) - 4*l(r). Let a(o) = 16*o**2 - 4*o + 21. Let k(t) = 6*a(t) - 33*s(t). Factor k(v).
-3*(v - 2)*(v - 1)
Let i(l) be the third derivative of -1/48*l**6 - 1/60*l**5 + 0*l**3 - 21*l**2 + 0 + 0*l**4 + 0*l. Factor i(s).
-s**2*(5*s + 2)/2
Let r(k) be the second derivative of -3/14*k**5 + 7*k - 3/35*k**6 + 0 - 1/21*k**3 - 1/6*k**4 + 0*k**2. Suppose r(c) = 0. Calculate c.
-1, -1/3, 0
Let c(d) be the second derivative of -3/5*d**2 + 25*d + 1/50*d**5 + 0 - 1/30*d**4 - 1/3*d**3. Factor c(i).
2*(i - 3)*(i + 1)**2/5
Let i = 63 - 63. Suppose i = 7*p - 1 + 1. Suppose -2/3*w**3 + p*w + 4/3*w**4 + 0 - 2/3*w**5 + 0*w**2 = 0. What is w?
0, 1
Let i(a) be the second derivative of -10609*a**6/10 + 63963*a**5/5 - 43261*a**4 + 3312*a**3 - 96*a**2 - 248*a. Let i(l) = 0. Calculate l.
2/103, 4
Suppose -z + 1358 = 2*k - 4*k, 5*z + 4*k = 6720. Factor 264*u**4 - z*u**3 - 964*u**2 - 492*u**3 - 1480*u**4 - 208*u - 16 - 256*u**5.
-4*(u + 2)**2*(4*u + 1)**3
Let v be (-11236)/371 - (-4)/14. Let p = 92/3 + v. Let -p*q**2 + 8/3 + 0*q = 0. What is q?
-2, 2
Factor 0 + 0*l**4 + 3/7*l - 6/7*l**3 + 0*l**2 + 3/7*l**5.
3*l*(l - 1)**2*(l + 1)**2/7
Let f(q) be the third derivative of -q**6/660 + 3*q**5/110 - q**4/22 - 16*q**3/33 + 133*q**2 - 3. Factor f(p).
-2*(p - 8)*(p - 2)*(p + 1)/11
Let y(m) be the first derivative of m**4/12 - 11*m**3 + 1089*m**2/2 - 11979*m - 112. Find k such that y(k) = 0.
33
Let h be (-2)/18*0/175. Factor -16/7*v**2 + 8/7*v**4 + 16/7*v + h - 12/7*v**3 + 4/7*v**5.
4*v*(v - 1)**2*(v + 2)**2/7
Let f(z) = z**4 + z**2 - z - 3. Let l(b) = -b**5 - 3*b**4 + b**3 + 17*b**2 + 11*b - 3. Let p(r) = -4*f(r) + 4*l(r). Find v such that p(v) = 0.
-3, -2, -1, 0, 2
Factor 0 + 3/7*y**2 - 3/7*y.
3*y*(y - 1)/7
Factor 0 - 2/7*l**3 - 4232/7*l - 184/7*l**2.
-2*l*(l + 46)**2/7
Let p(n) be the third derivative of -1/210*n**7 + 0*n + 0 - 1/600*n**6 + 0*n**4 - 1/420*n**8 + 0*n**5 + 0*n**3 + 8*n**2. Factor p(q).
-q**3*(q + 1)*(4*q + 1)/5
Let v be 15002/5193 - (-1)/(-9)*-1. Let 2/5*g**4 + 0 - 4/5*g - 2/5*g**2 + 12*g**v - 56/5*g**5 = 0. Calculate g.
-1, -1/4, 0, 2/7, 1
Suppose 5*a + 19 + 6 = 0. Let y(u) = -u**3 - 6*u**2 - 5*u + 3. Let m be y(a). Factor -4*g + 2*g**2 - g + 4 - m*g + 2*g.
2*(g - 2)*(g - 1)
Let q(s) be the third derivative of -21*s**2 + 0 + 0*s + 0*s**4 + 4/35*s**7 + 0*s**3 + 1/112*s**8 + 9/10*s**5 + 21/40*s**6. Suppose q(o) = 0. Calculate o.
-3, -2, 0
Let x(p) be the second derivative of 0*p**2 + 7*p + 0 - 7/8*p**4 + 1/2*p**3. Let x(l) = 0. Calculate l.
0, 2/7
Let z(k) = -4 + 2*k - 7*k**4 + 5 + 1 + 4*k**2 + 5*k**4 - 2*k**3. Let a(r) = 10*r**4 + 11*r**3 - 21*r**2 - 11*r - 11. Let x(o) = -4*a(o) - 22*z(o). Factor x(n).
4*n**2*(n - 1)*(n + 1)
Let u be 3/(45/147) + (-7)/(-35). Let u + 31*v**3 + 0*v**4 + 25*v - 5*v**4 - 36*v**3 + 15*v**2 = 0. What is v?
-1, 2
Let q(f) be the first derivative of -f**6/15 + 14*f**5/25 + 21*f**4/10 - 18*f**3 - 216*f**2/5 + 648*f/5 + 142. Suppose q(r) = 0. What is r?
-3, 1, 6
Suppose -8/11 + 2/11*a**2 - 8/11*a + 2/11*a**3 = 0. Calculate a.
-2, -1, 2
Let j(n) be the first derivative of 28*n**3 + 8*n**2 + 316. Let j(u) = 0. Calculate u.
-4/21, 0
Let z = -602 - -606. Let r(o) be the second derivative of 1/9*o**3 + 4*o + 1/36*o**z + 0 + 0*o**2. Factor r(s).
s*(s + 2)/3
Let a be (-16)/6*(-36)/(-16). Let t be (-1)/(-6) - (a/(-4) - 2). Factor 0*g + 10/3*g**4 + 8/3*g**5 + t*g**3 + 0 + 0*g**2.
2*g**3*(g + 1)*(4*g + 1)/3
Let a = -78 - -80. Find y, given that 120/17*y**a + 18/17*y + 236/17*y**3 + 18/17*y**5 + 120/17