- 6*u(n). Factor i(t).
-(t - 1)*(t + 1)*(7*t - 2)**2
Factor -48/5*m + 96/5*m**2 + 0 + 21/5*m**5 + 24*m**4 + 216/5*m**3.
3*m*(m + 2)**3*(7*m - 2)/5
Suppose -105 = -6*c + c. Determine y, given that -76*y**3 - 3*y + 19*y**3 + c*y**4 - 6 + 16*y**2 + 29*y**2 = 0.
-2/7, 1
Let z be (2/18)/(8/3). Let s(g) be the third derivative of 1/60*g**5 + 0*g**3 + 0 + 2*g**2 + z*g**4 + 0*g. Factor s(w).
w*(w + 1)
Let v(o) be the second derivative of o**5/4 - 5*o**4/6 + 5*o**3/6 + 2*o + 6. Find i, given that v(i) = 0.
0, 1
Suppose 31*t + 33 = 42*t. Let -2*z**2 + 2/3*z**t + 4/3*z + 0 = 0. What is z?
0, 1, 2
Let z(x) be the first derivative of x**3 + 5*x**2/2 - 2*x + 4. Solve z(q) = 0.
-2, 1/3
Let u(y) = 22*y**3 + 20*y**2 - 11*y - 3. Let b(j) = 43*j**3 + 41*j**2 - 23*j - 6. Let t(i) = -2*b(i) + 5*u(i). Factor t(z).
3*(z + 1)*(2*z - 1)*(4*z + 1)
Suppose -3/5*g**2 + 12/5*g + 0 = 0. Calculate g.
0, 4
Let q = -7 - -2. Let j be (q - -4)/((-2)/4). What is i in 3*i**2 + 0*i**3 + 2 + 3*i**5 - 8*i**4 + 4*i**3 + 3*i**j - 7*i = 0?
-1, 2/3, 1
Let t(g) = g**5 + g**4 + g**3 + g. Let n(s) = 6*s**5 + 7*s**4 + 11*s**3 + 2*s**2 + 4*s - 2. Let m(b) = -2*n(b) + 14*t(b). Solve m(v) = 0 for v.
-1, 1, 2
Let y = -350 + 353. Factor -4*p**y - 16*p**4 + 5*p**2 + 64/5*p**5 + 2*p + 1/5.
(p - 1)**2*(4*p + 1)**3/5
Let a(h) be the second derivative of h**7/2940 - h**6/1260 - h**3/6 - 7*h. Let u(w) be the second derivative of a(w). Suppose u(x) = 0. What is x?
0, 1
Solve -2*x**3 + 3*x + x + 18*x**2 - 20*x**2 + 2*x**4 - 2*x**3 = 0.
-1, 0, 1, 2
Let s be 125/455 - (-14)/91. Factor 9/7*t**3 + 3/7*t**4 + 0 + s*t + 9/7*t**2.
3*t*(t + 1)**3/7
Let r(s) be the second derivative of -3*s - 1/20*s**4 + 0*s**3 + 1/50*s**6 + 0*s**2 + 0*s**5 + 0. Factor r(u).
3*u**2*(u - 1)*(u + 1)/5
Let a(g) = g**5 - g**4 - 9*g**3 + 17*g**2 + 8*g + 8. Let b be 7 - (6/2 + -4). Let q(z) = -3*z**3 + 6*z**2 + 3*z + 3. Let c(f) = b*q(f) - 3*a(f). Factor c(o).
-3*o**2*(o - 1)**2*(o + 1)
Let k(u) = -2*u**3 - 2*u - 1. Let d be k(-1). What is f in -f**4 - d*f**3 + 10*f**2 + 0*f**4 - 12*f**2 = 0?
-2, -1, 0
Let y(l) = l**2 + 8*l + 7. Let z be y(-8). Suppose -2*n - 3*a = 5, -4*n + 5*a + 38 + z = 0. What is b in -3*b**2 - 2*b**4 + n*b**2 - b + 2*b - b**5 = 0?
-1, 0, 1
Let l be (-6)/(-21) + (-4)/14. Let j = l + 2. Factor 0*n**5 + n**4 - 2*n**2 + 5*n**4 - 4*n**4 + 2*n**5 - j*n**3.
2*n**2*(n - 1)*(n + 1)**2
Let a(i) be the third derivative of -i**5/30 + 4*i**3/3 + 18*i**2. Factor a(m).
-2*(m - 2)*(m + 2)
Let u(y) = 6*y**2 + y - 5. Let t(o) = -o**2 - o. Let s(j) = 35*t(j) + 5*u(j). Find g such that s(g) = 0.
-5, -1
Let x be ((-2)/4)/((-2)/(-76)). Let b = 22 + x. Determine f so that 1/5*f**2 - 1/5*f**4 + 0 - 1/5*f + 1/5*f**b = 0.
-1, 0, 1
Let h(v) be the second derivative of v**7/2772 + 7*v**6/3960 + v**5/330 - v**4/6 + 5*v. Let z(s) be the third derivative of h(s). Factor z(j).
2*(j + 1)*(5*j + 2)/11
Factor -2*z**3 - 3*z**3 + z**3 - 2*z**5 - 6*z**4.
-2*z**3*(z + 1)*(z + 2)
Suppose 6*d - 96 = -84. Find r such that -180/7*r - 450/7*r**4 + 375/7*r**5 + 426/7*r**d - 195/7*r**3 + 24/7 = 0.
-1, 2/5, 1
Let d(y) be the first derivative of -y**6/30 - y**5/20 + y - 3. Let n(l) be the first derivative of d(l). Factor n(x).
-x**3*(x + 1)
Suppose w = 4*w - 12. Let g(d) be the third derivative of 0*d - 1/30*d**5 + 0 - d**2 + 0*d**w + 1/3*d**3. Factor g(l).
-2*(l - 1)*(l + 1)
Let h(l) be the third derivative of 0 - 1/20*l**5 - 2*l**2 + 1/24*l**4 + 1/70*l**7 + 0*l**3 + 0*l - 1/120*l**6. Factor h(m).
m*(m - 1)*(m + 1)*(3*m - 1)
Let p(q) = -q**3 - 5*q**2 + 5*q - 6. Let x be p(-6). Factor x + 0*w - 1/2*w**2 - 2*w**4 - 2*w**3.
-w**2*(2*w + 1)**2/2
Let b(v) be the first derivative of -v**4/2 + 2*v**3 - 3. Factor b(r).
-2*r**2*(r - 3)
Factor -3*u**2 + u**2 + u + u.
-2*u*(u - 1)
Let o(w) be the third derivative of 4/3*w**3 - w**2 + 0 - 1/12*w**6 + 0*w - 7/30*w**5 + 2/3*w**4. Factor o(m).
-2*(m - 1)*(m + 2)*(5*m + 2)
Let d(o) = o**3 + 6*o**2 - 3*o - 6. Let z be d(-6). Let z*l + 3 - 2 + l**2 - 10*l = 0. What is l?
-1
Let r(q) = -20*q**2 - 14. Let y(x) = -7*x**2 - 5. Let z(c) = -6*r(c) + 17*y(c). Factor z(v).
(v - 1)*(v + 1)
Let w(v) = 3*v + 35. Let d be w(-11). Let s(g) be the third derivative of -2*g**d + 0*g - 1/120*g**5 + 0 - 1/48*g**4 + 0*g**3. Solve s(q) = 0.
-1, 0
Let y(u) be the third derivative of -u**8/224 - u**7/70 + u**5/20 + u**4/16 + 5*u**2. Suppose y(x) = 0. Calculate x.
-1, 0, 1
Let j(q) be the third derivative of -7*q**7/120 - 7*q**6/120 + q**5/5 - q**4/6 + 2*q**3/3 - 2*q**2. Let w(d) be the first derivative of j(d). Factor w(t).
-(t + 1)*(7*t - 2)**2
Suppose 0*c + 6 = 3*c. Suppose 0*n - 4*n = -16. Factor -3*h**3 + n*h**4 - c*h**2 + h + h**2 - h**3.
h*(h - 1)*(2*h - 1)*(2*h + 1)
Find a such that a + 11*a**2 - 7*a**2 + 3*a = 0.
-1, 0
Let h(s) be the third derivative of -s**6/360 + s**5/45 - 5*s**4/72 + s**3/9 - 7*s**2. Solve h(a) = 0.
1, 2
Factor 3*u**4 - u**4 + 2*u**2 - 5*u**2 - u**2 + 2.
2*(u - 1)**2*(u + 1)**2
Let l(s) be the first derivative of -s**8/840 + s**7/105 - s**6/60 - s**5/15 + s**4/3 - s**3 + 1. Let y(p) be the third derivative of l(p). Factor y(v).
-2*(v - 2)**2*(v - 1)*(v + 1)
Let h(x) = 164*x**2 - 240*x + 80. Let y(v) = 33*v**2 - 48*v + 16. Let q(a) = 3*h(a) - 16*y(a). Factor q(u).
-4*(3*u - 2)**2
Let x be ((-2)/(-24))/(2/(-460)). Let b = x - -349/18. Factor 0 - 2/9*j - 2/9*j**2 + 2/9*j**3 + b*j**4.
2*j*(j - 1)*(j + 1)**2/9
Let n(k) be the third derivative of k**5/180 + k**4/3 + 8*k**3 + 2*k**2 + 5. Factor n(l).
(l + 12)**2/3
Suppose 0 = 4*b - 0*y + 2*y - 16, 0 = 2*y. Let a(h) be the first derivative of -2/5*h**5 + 2 + 4*h**2 + 2*h**b - 4*h**3 - 2*h. Factor a(d).
-2*(d - 1)**4
Let m = -3373/9 - -375. Factor 2/9*x**4 + 4/9 + m*x**3 - 2/9*x - 2/3*x**2.
2*(x - 1)**2*(x + 1)*(x + 2)/9
Let w(q) be the first derivative of 1/4*q - 1/8*q**2 - 2 + 1/16*q**4 - 1/12*q**3. Factor w(f).
(f - 1)**2*(f + 1)/4
Let p = -97 - -293/3. Find q, given that 4/3*q + 2/3*q**2 + p = 0.
-1
Factor -18/5*q - 3/5*q**2 - 27/5.
-3*(q + 3)**2/5
Let w(a) = a**2 + a - 4. Let y be w(3). Suppose -y = 3*g - 5*g. Factor -2*v**4 + 0*v + 3*v**3 + v + 3*v**2 + 3*v**g.
v*(v + 1)**3
Suppose 2 = -8*d + 9*d. Let p(j) be the first derivative of 0*j - 1/9*j**d + 2/27*j**3 - 2. Suppose p(y) = 0. Calculate y.
0, 1
Factor -3/4*g**2 + 5/4*g - 5/4*g**3 + 1 - 1/4*g**4.
-(g - 1)*(g + 1)**2*(g + 4)/4
Factor -16/9*h**2 + 0 - 10/9*h**3 - 2/9*h**4 - 8/9*h.
-2*h*(h + 1)*(h + 2)**2/9
Let p(i) be the second derivative of -i**7/399 - i**6/285 + i**5/190 + i**4/114 + 16*i. Find n such that p(n) = 0.
-1, 0, 1
Let r(n) be the second derivative of n**6/195 - 7*n**4/78 - 2*n**3/13 + 16*n. Factor r(k).
2*k*(k - 3)*(k + 1)*(k + 2)/13
Suppose 0*s + 5*s - 25 = 0. Suppose 2*n = 3*n - 2*p - 16, 2*n - 17 = p. Factor 2*u**3 + 3*u**4 + n*u**5 - u**4 - 4*u**s + 2*u**4.
2*u**3*(u + 1)**2
Let g be (-2)/(-2) - (1 + -3). Let y(a) = -a + 10. Let r be y(8). Determine l, given that -2/5 - 14/5*l**r - 6/5*l**g - 2*l = 0.
-1, -1/3
Let h(n) be the second derivative of -n**7/105 - 2*n**6/75 + n**4/15 + n**3/15 + n. What is a in h(a) = 0?
-1, 0, 1
Let n be (-1)/(2/(-15))*18/90. Factor -9/2*q**2 - 3/2*q**3 - 9/2*q - n.
-3*(q + 1)**3/2
Factor 2*c - c**5 + 11*c**3 + 3*c**2 - 7*c**3 - 5*c**3 - 3*c**4.
-c*(c - 1)*(c + 1)**2*(c + 2)
Let r = -20/37 - -319/111. Factor -3*w**2 + r*w + 2/3.
-(w - 1)*(9*w + 2)/3
Let z(s) be the second derivative of s**5/50 - s**4/10 + 2*s**3/15 + 7*s. Factor z(d).
2*d*(d - 2)*(d - 1)/5
Let j(k) be the third derivative of k**6/150 + k**5/75 - k**4/30 - 2*k**3/15 + 2*k**2. Suppose j(p) = 0. What is p?
-1, 1
Factor -5*c**4 - 88*c**3 - 60*c + 190*c**3 - 82*c**3 - 45 + 10*c**2.
-5*(c - 3)**2*(c + 1)**2
Let t(o) be the second derivative of 2*o**4/3 + 26*o**3/9 + 4*o**2/3 - 27*o. Factor t(j).
4*(j + 2)*(6*j + 1)/3
Suppose -f - 4*k + 4 = 3*f, 0 = -3*f - 4*k. Factor 6*q**3 - 4*q**3 + 6*q**2 + 4 - 6*q - 4*q - 2*q**4 + 0*q**f.
-2*(q - 1)**3*(q + 2)
Let b = 47 - 73. Let z = 28 + b. Let 0*n + 0 - 1/6*n**z = 0. Calculate n.
0
Let z(d) be the first derivative of 2*d**5/25 - d**4/10 - 2. Factor z(q).
2*q**3*(q - 1)/5
Let n = 461 + -461. Solve 6/11*w**3 - 4/11*w + 2/11*w**2 + n = 0 for w.
-1, 0, 2/3
Let h(q) be the third derivative of 1/30*q**5 + 0*q**3 + 0 - 1/12*q**4 + 3*q**2 + 0*q. Suppose h(x) = 0. What is x?
0,