+ 10*y + 4. Let u(x) = -6*i(x) - 11*r(x). Factor u(w).
(w - 1)*(w + 1)**3*(w + 2)
Let v = -26/5 - 163/10. Let t = -20 - v. Find b, given that 1/2*b**3 + 3/2*b - 1/2 - t*b**2 = 0.
1
Let l(n) be the third derivative of n**5/330 - n**4/132 + 14*n**2. Factor l(r).
2*r*(r - 1)/11
Let n(m) be the second derivative of -3*m**5/100 + 9*m**4/20 - 4*m**3/5 - 20*m. Solve n(p) = 0.
0, 1, 8
Let q(d) be the third derivative of -d**5/240 - d**4/12 - 2*d**3/3 - 27*d**2. Factor q(g).
-(g + 4)**2/4
Let s(z) be the second derivative of z**5/30 + z**4/3 + z**3 + 4*z**2/3 + z. What is b in s(b) = 0?
-4, -1
Let -6/7 + 30/7*z**4 - 15/7*z + 0*z**2 + 30/7*z**3 + 9/7*z**5 = 0. What is z?
-1, 2/3
Let b(z) = z**3 - 7*z**2 + 5*z + 1. Let j(g) = 4*g**3 - 35*g**2 + 25*g + 6. Let s(o) = 22*b(o) - 4*j(o). Let s(p) = 0. Calculate p.
1/3, 1
Let w = 24 - 59. Let i be ((-21)/w)/(6/4). Let 0*x**2 + i*x**4 + 0*x + 0 - 2/5*x**3 = 0. Calculate x.
0, 1
Let o = 12/43 + 1426/129. Solve -14*n**2 - 10/3*n**4 + 22/3*n - 4/3 + o*n**3 = 0.
2/5, 1
Suppose -5*l + i + 2 = 2*i, -3*l = 4*i - 8. Let f(p) be the second derivative of 0*p**2 - p + 0 + 1/12*p**4 + l*p**5 - 1/30*p**6 + 0*p**3. Factor f(n).
-n**2*(n - 1)*(n + 1)
Suppose 9 = 4*k - 19. Let f be (-6)/k*(-49)/35. Factor 6/5*x**2 + 2/5*x**4 + 0 + 2/5*x + f*x**3.
2*x*(x + 1)**3/5
Let q(x) = -x**3 + 8*x**2 + 9*x + 2. Let g be q(9). Solve 3*l - 6*l**g + 2*l**3 + 0*l + l = 0 for l.
0, 1, 2
Let p(w) = -5*w**2 + 3*w + 2. Let h(s) = -4*s**2 - 2. Let f(a) = -5*a**2 - 3. Let i(b) = -3*f(b) + 4*h(b). Let m(u) = 2*i(u) - p(u). Factor m(q).
3*q*(q - 1)
Let g(v) be the first derivative of v**5/120 + v**4/12 + v**3/3 - v**2/2 - 3. Let w(d) be the second derivative of g(d). Factor w(h).
(h + 2)**2/2
Let a = -12684/43 - -295. Let s = a + 40/129. Factor -s*i**2 + 0 - 1/3*i.
-i*(i + 1)/3
Determine v so that v**2 + 1/2*v - 1 - 1/2*v**3 = 0.
-1, 1, 2
Let y(h) be the first derivative of h**6/33 - 2*h**5/11 + 2*h**4/11 + 32*h**3/33 - 32*h**2/11 + 32*h/11 - 6. Suppose y(j) = 0. Calculate j.
-2, 1, 2
Suppose 0 = -4*p - 3*f, -3*f = -5*p - 2*f. Let h be 5/4 + (0 - 1). Suppose -h*o - 1/4*o**3 - 1/2*o**2 + p = 0. What is o?
-1, 0
Let o = -19 + 8. Let z = -7 - o. Find w, given that -w**z + 2*w**3 - w**2 - 5*w**2 + 5*w**2 = 0.
0, 1
Let i be 12/(-8) - (-14)/4. Suppose 0*x + i*x - 36 = 0. Solve -5 - 8*q - 4*q - x*q**2 + 3 = 0.
-1/3
Let v(k) = 4*k**2 - 2*k. Let y(p) = -p + 0 + p**2 + 0 + 0 + 1. Suppose 0 = -5*a + 2*w + 15, 0 = 2*w - 0 + 10. Let j(x) = a*v(x) - 2*y(x). Factor j(n).
2*(n - 1)*(n + 1)
Let m(q) = -4*q**2 - 14*q + 1. Let a(i) = 4*i**2 + 13*i - 1. Let u(g) = 4*a(g) + 3*m(g). Let s(f) = f**2 + 3*f. Let y(n) = -7*s(n) + 2*u(n). Factor y(d).
(d - 2)*(d + 1)
Let o be (-2 - 0) + -16 + 21. Determine p so that -4*p**3 - 6*p + o*p**5 - 9*p**2 + 7*p**3 + 12*p**4 - 3*p**4 = 0.
-2, -1, 0, 1
Suppose -6*g - 6 = 5*j - 2*g, -5*j + g + 14 = 0. Suppose -t - 2 = -3. Determine s, given that 2*s**3 - j*s + s**4 - 3*s**2 + 3*s**2 - t = 0.
-1, 1
Let q(n) be the third derivative of -n**9/15120 + n**8/630 - 4*n**7/315 + n**5/15 - 6*n**2. Let m(i) be the third derivative of q(i). Factor m(t).
-4*t*(t - 4)**2
Let q = 1/24 - -11/24. Let a(g) be the second derivative of 2/5*g**6 - g**3 + 4/21*g**7 - 1/10*g**5 - g - q*g**2 - 11/12*g**4 + 0. Factor a(y).
(y - 1)*(y + 1)*(2*y + 1)**3
Factor -4*q**4 - 4*q**4 + 10*q**3 - 8*q**3 + 8*q**2 - 2*q.
-2*q*(q - 1)*(q + 1)*(4*q - 1)
Let k(b) be the first derivative of -b**5/15 + b**3/9 + 2. Factor k(y).
-y**2*(y - 1)*(y + 1)/3
Suppose 4*c = 6*c + 2*c. Let n(z) be the first derivative of 0*z - 1/5*z**5 + c*z**2 - 2 + 1/3*z**3 + 0*z**4. Factor n(i).
-i**2*(i - 1)*(i + 1)
Factor -1/2*p**5 + 0 + 0*p - 1/2*p**4 + 1/2*p**3 + 1/2*p**2.
-p**2*(p - 1)*(p + 1)**2/2
Suppose 5*r + 2*y = 33, 5*r + 4 = 5*y + 9. Suppose -4 = n - r*n. What is a in -a - 1/4*a**2 - n = 0?
-2
Let x = 1 - -3. Let z be 10*(7/(-2) - -4). Factor z*s**4 - 3*s**x + 0*s**4 - s**5.
-s**4*(s - 2)
Let s be -3 + (0 - -1)/(2/10). Solve 20/3*p**s - 2*p**3 + 4/3 - 6*p = 0.
1/3, 1, 2
Let w(l) be the first derivative of 7*l**5/10 + 9*l**4/8 + l**3/3 + 4. Factor w(g).
g**2*(g + 1)*(7*g + 2)/2
Let t be (-3 + 5)/(2/2). Let c be 4 + (-17 - 3)/5. Suppose c*w + 0 + w**3 - 1/2*w**5 + 0*w**t + 1/2*w**4 = 0. What is w?
-1, 0, 2
Let s(u) be the second derivative of 2*u + 0*u**2 + 5/6*u**4 - 2/3*u**3 + 0. Suppose s(b) = 0. Calculate b.
0, 2/5
Let u(y) be the third derivative of -1/15*y**5 - 1/168*y**8 + 3*y**2 + 2/105*y**7 + 0*y + 0 + 0*y**3 + 1/12*y**4 + 0*y**6. Let u(k) = 0. What is k?
-1, 0, 1
Suppose -5*d - 9 - 36 = 0. Let l = d - -9. Suppose l + 2/7*w**3 - 2/7*w**5 - 2/7*w**4 + 2/7*w**2 + 0*w = 0. What is w?
-1, 0, 1
Let r(s) be the third derivative of -s**6/120 - s**5/60 - s**2 + 10*s. Factor r(u).
-u**2*(u + 1)
Let m(n) = n**2. Let g(j) = -18*j**2 - 27*j - 6. Let u(y) = -g(y) - 6*m(y). Find b, given that u(b) = 0.
-2, -1/4
Let a(y) be the first derivative of y**9/4536 - y**8/1260 + y**7/1260 + y**3 - 3. Let d(w) be the third derivative of a(w). Factor d(s).
2*s**3*(s - 1)**2/3
Let x(t) be the third derivative of t**6/480 + t**5/80 + t**4/48 + 16*t**2. Let x(l) = 0. What is l?
-2, -1, 0
Let v = 3 - 1. Let f = 5 - v. Determine a so that 0*a**2 + 0*a + 2/5*a**5 + 2/5*a**f + 0 - 4/5*a**4 = 0.
0, 1
Let z(s) be the first derivative of s**7/420 - s**5/120 + 3*s**2/2 - 2. Let m(i) be the second derivative of z(i). Factor m(y).
y**2*(y - 1)*(y + 1)/2
Determine b so that -4/5 - 4*b + 7/5*b**5 - 19/5*b**2 + 13/5*b**3 + 23/5*b**4 = 0.
-2, -1, -2/7, 1
Let w be (-4)/(-50)*(2 - -3). Let g = -93/5 - -99/5. Determine r, given that w*r**4 + 2/5*r + g*r**2 + 0 + 6/5*r**3 = 0.
-1, 0
Let g(p) be the first derivative of p**5/35 + p**4/28 - p**3/7 - p**2/14 + 2*p/7 - 1. Determine v, given that g(v) = 0.
-2, -1, 1
Let n(o) be the first derivative of o**3 + 3*o**2 - 4. Factor n(p).
3*p*(p + 2)
Let n be (1 + 1 + 1)/(405/18). Let 0*s - n*s**2 + 0 - 2/5*s**4 - 2/5*s**3 - 2/15*s**5 = 0. What is s?
-1, 0
Let h be (0 - -2) + 13 + -15. Let c(g) be the third derivative of 0*g + 1/480*g**6 + 0 - 4*g**2 + h*g**3 + 0*g**4 - 1/120*g**5. Suppose c(o) = 0. Calculate o.
0, 2
Let p(r) = 4*r**2 + 4*r - 6. Let x(m) = m**2 - 1. Let j = -19 + 9. Let t be (-4)/j - 14/10. Let b(c) = t*p(c) + 6*x(c). Factor b(a).
2*a*(a - 2)
Let n be (-4)/(5*-24) + 4/24. Solve 2/5*q**4 + 0*q**2 + 3/5*q**3 + 0 - n*q = 0 for q.
-1, 0, 1/2
Let j(f) be the second derivative of f + 0 - 5/12*f**3 + 1/2*f**2 + 1/12*f**4. Factor j(q).
(q - 2)*(2*q - 1)/2
Let j(c) be the first derivative of -c**6 + 9*c**5/5 + 3*c**4/4 - 3*c**3 + 3*c**2/2 - 4. Find p such that j(p) = 0.
-1, 0, 1/2, 1
Let u(g) be the second derivative of g**5/110 + g**4/33 - 10*g. Suppose u(t) = 0. What is t?
-2, 0
Let u = -3/7 - -41/63. Let c(r) be the first derivative of -2/27*r**3 - u*r**2 + 3 - 2/9*r. Factor c(t).
-2*(t + 1)**2/9
Suppose 30 = q + 3*q - h, 34 = 4*q - 3*h. Let u = q - 5. Factor -a**3 - a**3 + u*a**2 + 0*a**3.
-2*a**2*(a - 1)
Factor 0*n**4 + 0*n**2 + 0*n - 1/4*n**3 + 1/4*n**5 + 0.
n**3*(n - 1)*(n + 1)/4
Let q be (((-10)/(-7))/(10/70))/2. Let f(s) be the first derivative of 2/15*s**3 + 0*s**4 + 0*s**2 - 2/25*s**q - 3 + 0*s. Determine z, given that f(z) = 0.
-1, 0, 1
Let c(h) = -h**2 + 5*h. Let x(i) = -i**2 + 4*i + 1. Let z(y) = -4*c(y) + 6*x(y). Factor z(u).
-2*(u - 3)*(u + 1)
Let u(o) be the third derivative of -o**8/3360 + o**7/315 - o**6/90 - o**4/24 + 7*o**2. Let z(b) be the second derivative of u(b). Factor z(n).
-2*n*(n - 2)**2
Determine a so that -7*a - 10*a**2 + 9*a + 2*a**2 - 4*a**3 - 6*a = 0.
-1, 0
Let d(a) be the second derivative of -a**5/20 + a**4 - 8*a**3 - 4*a**2 + 2*a. Let s(y) be the first derivative of d(y). Let s(g) = 0. What is g?
4
Let y(k) be the first derivative of 4*k**3/3 - 2*k**2 - 1. Factor y(m).
4*m*(m - 1)
Let h(o) be the first derivative of 3*o**4/28 - o**3/7 - 3*o**2/14 + 3*o/7 + 31. Factor h(b).
3*(b - 1)**2*(b + 1)/7
Suppose 2 - 10 = -4*x. Factor -40*a**x - 2*a - 8*a**4 - 9*a**3 - 3*a**3 - 2*a**5 + 32*a**2.
-2*a*(a + 1)**4
Let c(y) be the third derivative of -y**7/840 - y**6/120 + y**5/120 + y**4/8 - 3*y**3/8 + 5*y**2. Solve c(w) = 0.
-3, 1
Let r(p) be the second derivative of 3/20*p**5 + 0*p**2 - 1/2*p**4 + 0 - 5*p + 1/2*p**3. Solve r(x) = 0 for x.
0, 1
Let r(v) 