+ 1)/5
Let z be ((-27)/(-18))/(-6*(-1)/1). Solve -3/4*w**2 + 0*w**3 + 1/2*w + 0 + z*w**4 = 0 for w.
-2, 0, 1
Let j(b) = b**3 + b**2 - b + 1. Let o(z) be the third derivative of -7*z**6/120 - 7*z**5/60 + z**4/3 - z**3 + 4*z**2. Let s(y) = -6*j(y) - o(y). Factor s(h).
h*(h - 1)*(h + 2)
Suppose 4*g + 8 = 5*f - 3, 5*f - 17 = -2*g. Let h be (3/(-30))/(g/(-4)). Factor 4/5*r**2 + h*r - 4/5 - 2/5*r**3.
-2*(r - 2)*(r - 1)*(r + 1)/5
Let z(x) be the second derivative of x**6/75 + 3*x**5/50 + x**4/15 - 4*x. Factor z(a).
2*a**2*(a + 1)*(a + 2)/5
Let d(k) be the third derivative of -k**7/5040 - k**6/1440 + k**5/120 + k**4/8 - 3*k**2. Let v(i) be the second derivative of d(i). Factor v(z).
-(z - 1)*(z + 2)/2
Let j = 464 + -2317/5. Suppose 9/5*t - 9/5*t**2 - 3/5 + j*t**3 = 0. What is t?
1
Let y = 256/3 + -85. Let b(g) be the second derivative of 0*g**2 + y*g**3 - 1/5*g**5 + 0 - 2*g + 1/6*g**4. Suppose b(q) = 0. What is q?
-1/2, 0, 1
Determine n, given that 0 - 4/9*n + 2/9*n**2 = 0.
0, 2
What is d in -4*d**2 + 27*d - 25*d + 2*d**2 + d**3 - d**2 = 0?
0, 1, 2
Let v = -97 + 142. Suppose 8*g - 13*g = -v. Factor 5/2*p**5 - 1 - 3/2*p + 4*p**2 + 11*p**3 + g*p**4.
(p + 1)**4*(5*p - 2)/2
Let b = 21 - 23. Let z be (b/(-15))/(1/5). Solve -2/3*y**3 - z*y + 4/3*y**2 + 0 = 0.
0, 1
Let y(z) be the first derivative of z**3/6 - 5*z**2/4 + 2*z + 25. Factor y(q).
(q - 4)*(q - 1)/2
Find m, given that -m**4 + 0*m**2 - m**3 + 0*m - 1/4*m**5 + 0 = 0.
-2, 0
Let o = 53/290 + 1/58. Let w(t) be the first derivative of -3/5*t - o*t**3 - 3 + 3/5*t**2. Factor w(j).
-3*(j - 1)**2/5
Let j be ((-30)/(-18))/5 - (-16)/(-54). Let w(l) be the second derivative of 0 + 0*l**4 - 1/90*l**5 + j*l**3 + 0*l**2 + l. Solve w(d) = 0.
-1, 0, 1
Let a be (-2)/(-4)*(21 - 17). Let -3*n**3 - 2*n**2 + 0*n**3 + n**3 - a*n**2 = 0. What is n?
-2, 0
Let b(d) be the second derivative of 1/8*d**4 + 0 - 3/40*d**5 + 0*d**2 + 0*d**3 + d. Find i such that b(i) = 0.
0, 1
Let n be 2/((-20)/(-22)) - (-4)/2. Determine j so that -3/5 - n*j - 15*j**3 - 12/5*j**5 - 48/5*j**4 - 57/5*j**2 = 0.
-1, -1/2
Let w(l) be the first derivative of -l**4 + 4*l**3 - 6*l**2 + 4*l - 4. Factor w(y).
-4*(y - 1)**3
Suppose 5*u - 2*d = d + 9, 11 = 3*u + d. Solve -w + 4 - 4*w + u*w**2 + 14*w + 2 = 0.
-2, -1
Let t(h) = -h**2 - 5*h + 4. Let w be t(-6). Let b(a) = -4*a**2 - 15*a - 27. Let u(m) = m**2 + 4*m + 7. Let s(i) = w*b(i) - 9*u(i). Factor s(p).
-(p + 3)**2
Let v(m) be the third derivative of m**6/720 - m**5/240 - m**3/2 - 4*m**2. Let g(i) be the first derivative of v(i). Factor g(u).
u*(u - 1)/2
Suppose d - 2 = -0. Factor 3*k**2 - 2*k**d + 8*k - 5*k**2.
-4*k*(k - 2)
Let r(y) be the third derivative of -y**11/166320 + y**9/30240 - y**5/12 + 4*y**2. Let v(m) be the third derivative of r(m). Factor v(x).
-2*x**3*(x - 1)*(x + 1)
Let r(l) = -l - 7. Let z be r(-11). Let b(k) be the second derivative of 3*k + 2/21*k**3 + 0 - 1/6*k**z - 9/70*k**5 + 0*k**2. Factor b(h).
-2*h*(h + 1)*(9*h - 2)/7
Suppose 4*s = 16, -3*j + j + 16 = 3*s. Let -r**3 - 8*r**2 - 2*r**j + 2*r**2 - 3*r**3 - 4*r = 0. Calculate r.
-1, 0
Let f(d) be the third derivative of -d**6/96 + 7*d**5/240 + d**4/12 - d**3/6 + 5*d**2. Factor f(x).
-(x - 2)*(x + 1)*(5*x - 2)/4
Let q(y) = -7*y**5 - 5*y**4 + 8*y**3 + 13*y**2 + y. Let k(f) = -8*f**5 - 5*f**4 + 9*f**3 + 14*f**2 + 2*f. Let n(v) = 5*k(v) - 6*q(v). Factor n(w).
w*(w - 1)*(w + 2)**2*(2*w - 1)
Suppose y + 33 = 11. Let r(h) = 2*h**5 - h**4 + 3*h + 3. Let i(k) = -7*k**5 + 4*k**4 - 11*k - 11. Let w(c) = y*r(c) - 6*i(c). Suppose w(f) = 0. Calculate f.
-1, 0
Let g(f) be the first derivative of 0*f + 0*f**4 + 2/3*f**3 + 0*f**2 - 2/5*f**5 + 2. Solve g(c) = 0 for c.
-1, 0, 1
Let p be 12/15 - 42/(-10). Determine n so that 0 - 25/4*n**p + n**2 + 4*n**3 + 0*n + 5/4*n**4 = 0.
-2/5, 0, 1
Suppose 3*u - 3 = 0, -u - 2 = 5*f - 18. Suppose f*a - 4 - 5 = 0. Factor -m - 4*m**2 - 1 + a*m**2 - m**5 + 2*m**3 + 3*m**2 - m**4.
-(m - 1)**2*(m + 1)**3
Let w(x) = -7*x**4 - 5*x**3 - 4*x**2. Let f(m) = -m**4 - m**3 - m**2. Let k(g) = 6*f(g) - w(g). Find r, given that k(r) = 0.
-1, 0, 2
Let k(l) be the third derivative of -4*l**5/15 + 3*l**4/2 - 4*l**3/3 - 3*l**2. Factor k(o).
-4*(o - 2)*(4*o - 1)
Let z(i) be the first derivative of 3*i**5/20 - i**4/2 + i**3/2 - i + 4. Let v(x) be the first derivative of z(x). Factor v(g).
3*g*(g - 1)**2
Let d = 1568/8503 + -2/773. Factor d*w + 0 + 8/11*w**2 + 12/11*w**3 + 8/11*w**4 + 2/11*w**5.
2*w*(w + 1)**4/11
Let z(i) be the second derivative of -1/9*i**3 - 1/63*i**7 - 1/5*i**5 + 0 - 2*i - 2/9*i**4 - 4/45*i**6 + 0*i**2. Factor z(o).
-2*o*(o + 1)**4/3
Determine q, given that 88/3*q + 6*q**5 - 188/3*q**2 + 194/3*q**3 - 16/3 - 32*q**4 = 0.
2/3, 1, 2
Let i(f) be the first derivative of f**4/36 - f**3/9 + f**2/6 + 4*f + 4. Let j(n) be the first derivative of i(n). Factor j(c).
(c - 1)**2/3
Let n(a) be the first derivative of 1/25*a**5 + 2/5*a**3 + 1/5*a**4 + 1/5*a + 4 + 2/5*a**2. Factor n(t).
(t + 1)**4/5
Let b(i) be the third derivative of i**9/40320 - 17*i**8/60480 + i**7/1080 + i**6/540 - i**5/15 - 4*i**2. Let n(r) be the third derivative of b(r). Factor n(l).
(l - 2)**2*(9*l + 2)/6
Suppose -3*t + 2 + 4 = 0. Suppose -a - t*a = -6. Factor 4/3*b - 56/3*b**3 + 0 + 2/3*b**a.
-2*b*(4*b + 1)*(7*b - 2)/3
Factor 2*o - 4*o**2 - 7*o**2 + 10*o**2.
-o*(o - 2)
Let n(a) be the second derivative of a**4/12 + a**3/6 - a. Factor n(z).
z*(z + 1)
Let a(o) be the first derivative of 6*o**5/35 + o**4/2 + 2*o**3/7 - 3*o**2/7 - 4*o/7 + 7. What is b in a(b) = 0?
-1, 2/3
Let z(v) = 2*v**3 + v**2 - v - 1. Let k(g) = -20*g**3 + 21*g**2 + 117*g + 45. Let s(i) = -2*k(i) - 10*z(i). Factor s(b).
4*(b - 5)*(b + 2)*(5*b + 2)
Factor 16/7 + 4/7*b**2 + 20/7*b.
4*(b + 1)*(b + 4)/7
Determine f, given that -11*f**5 + 164*f**3 - 36*f - 8 + 123*f**5 - 13*f**2 - 276*f**4 + 57*f**2 = 0.
-2/7, -1/4, 1
Let l(g) be the first derivative of -g**4/16 - g**3/6 + g**2/2 + 2*g - 4. Find r, given that l(r) = 0.
-2, 2
Factor -6*c - 2*c**3 - 19*c - 12*c**2 - 16 + c.
-2*(c + 2)**3
Factor 4/11 + 6/11*o**2 + 14/11*o.
2*(o + 2)*(3*o + 1)/11
Determine q, given that 3/4*q**2 - 1 + 1/4*q**3 + 0*q = 0.
-2, 1
Let f(x) be the third derivative of -x**8/10080 - x**7/2520 - x**5/20 + 3*x**2. Let z(k) be the third derivative of f(k). Determine j so that z(j) = 0.
-1, 0
Let o = 901/2709 + 2/2709. Factor 1/6*b + o*b**3 + 0 + 1/2*b**2.
b*(b + 1)*(2*b + 1)/6
Factor 12/5*l - 18/5 - 2/5*l**2.
-2*(l - 3)**2/5
Let m = 250 - 248. Determine d so that 0*d - 2*d**3 - 2/3*d**5 + 2/3*d**2 + m*d**4 + 0 = 0.
0, 1
Let k be ((-1)/(2*-2))/(2/4). What is i in 0*i + 1/2*i**2 - k = 0?
-1, 1
Let m(f) be the third derivative of f**7/420 - f**6/20 + 9*f**5/20 - 9*f**4/4 + 27*f**3/4 - 2*f**2. Solve m(t) = 0.
3
Let s(k) = k**2 - 2*k + 1. Let d be s(3). Factor 2*n**2 - 4*n**2 + d + 4*n - 2*n.
-2*(n - 2)*(n + 1)
Let o(g) be the third derivative of g**8/168 + g**7/35 + g**6/20 + g**5/30 - 8*g**2. Factor o(u).
2*u**2*(u + 1)**3
Let p(q) be the second derivative of 3*q**5/4 - 25*q**4/12 + 5*q**3/3 + 8*q. Factor p(o).
5*o*(o - 1)*(3*o - 2)
Factor 2*l + 3/2*l**2 - 2/3 - 7/6*l**3.
-(l - 2)*(l + 1)*(7*l - 2)/6
Let k be ((-16)/(-42))/((-9)/(-21)). Let r be (2 + 51/(-27))*(6 + -4). Factor -r - k*q - 8/9*q**3 - 4/3*q**2 - 2/9*q**4.
-2*(q + 1)**4/9
Let u(k) = k**3 + k**2 + 1. Let a(b) = 3*b**5 + 9*b**4 - 6*b**3 - 18*b**2 - 6. Let i(d) = -a(d) - 6*u(d). Factor i(y).
-3*y**2*(y - 1)*(y + 2)**2
Let q(b) be the first derivative of -b**6/6 - 2*b**5/5 + b**4/2 + 4*b**3/3 - b**2/2 - 2*b - 13. Find g, given that q(g) = 0.
-2, -1, 1
Let b(w) be the second derivative of -w**4/36 - w**3/6 - w**2/3 + 10*w. Solve b(s) = 0.
-2, -1
Let b(l) be the first derivative of -2*l**5 + 15*l**4/4 + 5*l**3 - 5*l**2 - 17. Factor b(d).
-5*d*(d - 2)*(d + 1)*(2*d - 1)
Let w(m) be the second derivative of 0*m**2 + 2*m - 1/33*m**3 + 0 - 2/33*m**4. Determine j so that w(j) = 0.
-1/4, 0
Let u(l) = -3*l**2 - 3*l - 2. Let a be u(-2). Let g = a - -8. Find f such that g - 49/4*f**4 - f - 8*f**2 - 77/4*f**3 = 0.
-1, -2/7, 0
Suppose 0 = -2*o - 3*o + 2*p + 25, -2*o + p + 11 = 0. Factor 3*s**5 + 3*s - 3*s**4 - 2*s**3 + 3*s**2 - o*s - s**3.
3*s**2*(s - 1)**2*(s + 1)
Let t(y) be the third derivative of -1/24*y**3 - y**2 + 0*y - 1/240*y**5 + 0 - 1/48*y**4. Solve t(j) = 0.
-1
Let y 