26/3*w**2 + 56*w - 1/3*w**4 - 147 - 8/3*w**3 = 0. What is w?
-7, 3
Let k(s) = -s**3 - 6*s**2 - 15*s - 246. Let z be k(-8). Factor 2/9 + 2/9*m**z - 4/9*m.
2*(m - 1)**2/9
Let o(g) = -g**3 - 8*g**2 + 7*g - 18. Let w be o(-9). Suppose w = -9*u + 27 + 27. Factor 9*i**2 - 6*i - u*i**3 + 3/2*i**4 + 3/2.
3*(i - 1)**4/2
Let z = -18 - -20. Factor -6*i**2 + 2*i**z + 23*i + 10*i - 9*i.
-4*i*(i - 6)
Let f(s) = -21*s**2 - 36*s. Let c(h) = -3*h**2 - h. Let y(o) = -6*c(o) + f(o). Factor y(d).
-3*d*(d + 10)
Suppose 2*p = -4*v, v = -3*v - 8. Factor 4 - 12*g**3 - 6*g - 18*g + p*g + 28*g**2.
-4*(g - 1)**2*(3*g - 1)
Let k(w) = 16*w**3 + 448*w**2 - 864*w + 480. Let n(c) = c**3 + c + 2. Let y(p) = -k(p) + 20*n(p). Factor y(b).
4*(b - 110)*(b - 1)**2
Find g, given that 10*g**3 - 40*g**4 + 12*g + 10*g**4 + 11*g**4 + 11*g**4 + 9*g**4 - 23*g**2 = 0.
-12, 0, 1
Let s(m) be the third derivative of m**5/660 + 3*m**4/22 + 35*m**3/66 + 211*m**2. Find n such that s(n) = 0.
-35, -1
Find k, given that 844*k - 829*k + 16*k**4 + 21 - k**5 - 16*k**2 - 21 - 14*k**3 = 0.
-1, 0, 1, 15
Let f = -328 - -332. Factor -2/5*l**3 + 0 - 4/5*l**2 + 0*l + 2/5*l**f.
2*l**2*(l - 2)*(l + 1)/5
Let f(h) be the second derivative of 0 + 1/5*h**2 - 1/30*h**4 - 1/30*h**3 + 8*h + 1/100*h**5. Solve f(w) = 0 for w.
-1, 1, 2
Let b(h) be the first derivative of -h**6/2 + 9*h**5/5 + 3*h**4/2 - 6*h**3 - 3*h**2/2 + 9*h - 99. Determine x so that b(x) = 0.
-1, 1, 3
Let y = 4 + -5. Let u be (1/y)/((-13)/26). Suppose -1 - 6*g + u - 1 - 2*g**2 = 0. Calculate g.
-3, 0
Let y(x) = -11*x**3 - 20*x**2 + 6*x + 39. Let l(p) = -16*p**3 - 30*p**2 + 8*p + 58. Let v(g) = 7*l(g) - 10*y(g). Solve v(c) = 0 for c.
-4, -2, 1
Let b be 3*(-7)/21 + 1. Let u(x) be the third derivative of b*x**4 + 4*x**2 + 0*x**3 - 1/105*x**7 - 1/60*x**6 + 0 + 0*x + 1/15*x**5. Factor u(n).
-2*n**2*(n - 1)*(n + 2)
Let r = -24929 + 24932. Factor -9/8*j + 5/8 + 1/8*j**r + 3/8*j**2.
(j - 1)**2*(j + 5)/8
Let v(f) be the second derivative of f**6/240 - f**5/40 - 4*f**3/3 - 5*f. Let m(n) be the second derivative of v(n). Factor m(t).
3*t*(t - 2)/2
Let g(i) = -2*i**3 - i**2 - i - 2. Let h(b) = 5*b**4 - 200*b**3 + 1440*b**2 - 6890*b + 11945. Let j(u) = 30*g(u) - h(u). Find v such that j(v) = 0.
7
Let z(j) = 17*j**4 - 11*j**3 - 8*j**2 - 2. Let n(a) = 44*a**4 - 17*a**2 - 3 - 44*a**4 - 2 + 35*a**4 - 23*a**3. Let y(g) = 2*n(g) - 5*z(g). Factor y(v).
-3*v**2*(v - 1)*(5*v + 2)
Let x(o) be the third derivative of 5*o**8/336 - o**7/14 + o**6/12 + o**5/6 - 5*o**4/8 + 5*o**3/6 + 109*o**2. Factor x(c).
5*(c - 1)**4*(c + 1)
Let a(h) be the third derivative of -h**6/960 - h**5/40 + 9*h**4/64 - 7*h**3/24 - 27*h**2 - 2*h. Solve a(i) = 0.
-14, 1
Let -3*k**5 - 560*k**2 - 56*k**4 - 276*k**3 - 2*k**5 - 400*k + 2*k**5 - k**5 = 0. What is k?
-5, -2, 0
Let a = -1367/6 + 228. Let x(l) be the second derivative of -1/15*l**6 - l + 0*l**2 + a*l**4 + 1/3*l**3 + 0 - 1/10*l**5. Factor x(g).
-2*g*(g - 1)*(g + 1)**2
Factor -2/15*b**2 - 6/5 - 4/5*b.
-2*(b + 3)**2/15
Let f(t) be the third derivative of t**6/3 - 41*t**5/12 + 25*t**4/24 + 43*t**2 + 7. Factor f(b).
5*b*(b - 5)*(8*b - 1)
Suppose -98*w + 0*w + 39 - 273 - 42*w**2 + 18 - 3*w**3 - 73*w = 0. Calculate w.
-8, -3
Let s(x) be the first derivative of x**8/420 - x**7/140 + x**5/60 + 5*x**3/3 - 10. Let i(w) be the third derivative of s(w). Factor i(h).
2*h*(h - 1)**2*(2*h + 1)
Suppose 1/6*d**2 + 0 + 31/2*d = 0. Calculate d.
-93, 0
Factor -135/2*x**4 + 0*x + 243/2*x**5 + 0 - 6*x**2 - 48*x**3.
3*x**2*(x - 1)*(9*x + 2)**2/2
Let i(x) be the first derivative of x**3/15 - x**2/5 - 3*x/5 - 187. What is q in i(q) = 0?
-1, 3
Let f(y) be the third derivative of 0*y + 0 - 1/300*y**6 + 1/150*y**5 + 0*y**3 + 0*y**4 - 14*y**2. Find q such that f(q) = 0.
0, 1
Let q be (-144)/(-8)*(1 + 9/6). Let -75*i**3 + q*i - 15*i**2 - 8 + 3*i - 4 = 0. Calculate i.
-1, 2/5
Let p(u) = u. Let k(c) be the second derivative of 35*c**4/6 - 41*c**3/6 + 2*c**2 - c. Let z(a) = -2*k(a) - 6*p(a). Factor z(b).
-4*(5*b - 2)*(7*b - 1)
Let n = -1704/55 + 585/11. Factor -18*p**3 - 12/5 - 12*p - n*p**2 - 27/5*p**4.
-3*(p + 1)**2*(3*p + 2)**2/5
Let f(w) be the second derivative of 100/7*w**2 + 1/42*w**4 - 20*w + 20/21*w**3 + 0. Factor f(a).
2*(a + 10)**2/7
Find o, given that 17/3*o + 14/3*o**4 - 14/3*o**3 - 8/3*o**2 - o**5 - 2 = 0.
-1, 2/3, 1, 3
Factor -53 + 4*s**2 + 129*s + 127*s - 17 - 84*s**2 - 401*s - 5*s**3.
-5*(s + 1)**2*(s + 14)
Let a(o) be the second derivative of -o**6/240 - o**5/40 - o**4/16 - 10*o**3/3 + 2*o. Let z(x) be the second derivative of a(x). Suppose z(h) = 0. What is h?
-1
Let h = 9/22 - -1/11. Let o be (44/20 - 3)/(32/(-20)). Solve 0*q**4 + q**3 - h + o*q**2 - 3/4*q - 1/4*q**5 = 0 for q.
-1, 1, 2
Let j be 30/(-5) - ((-96)/9 + (4 - 0)). Factor -1/3*v**4 + v**2 + j + 5/3*v - 1/3*v**3.
-(v - 2)*(v + 1)**3/3
Suppose 5*x - 67 = -42. Let o(d) be the third derivative of 1/2*d**4 + 0*d**3 + 0*d + 4/15*d**x + 1/30*d**6 + 3*d**2 + 0. Find m such that o(m) = 0.
-3, -1, 0
Let k(x) be the second derivative of x**6/120 - x**5/40 - 5*x**4/48 + x**3/4 - 2*x + 252. Find w, given that k(w) = 0.
-2, 0, 1, 3
Let y be 9 - (5 - (3 - 2)). Suppose -f = 2*i - 6, 17 = -2*f + 5*f + y*i. Factor h**4 - 8*h**f + 3*h**4 - 2*h**5 + 4*h**2 + 2*h.
-2*h*(h - 1)*(h + 1)**3
Solve 2*h**2 + 0*h + 0 - 2/5*h**3 = 0 for h.
0, 5
Let p be 17/26 - 78/507. Factor -p*x**3 + 0 - 3/2*x + 1/2*x**4 - 5/2*x**2.
x*(x - 3)*(x + 1)**2/2
Solve -3*u**3 + 10*u**4 + 0*u**5 - 2*u**5 + 6*u**2 - 13*u**3 + 2*u**2 = 0 for u.
0, 1, 2
Let x(d) be the first derivative of 4/11*d**4 - 6/55*d**5 - 8/33*d**3 - 23 + 0*d + 0*d**2. What is p in x(p) = 0?
0, 2/3, 2
Let p be (-24)/(-3) + (9 - 12). Let s(w) be the third derivative of 0 - 1/30*w**p + 1/4*w**4 + 0*w - 2/3*w**3 - 2*w**2. Suppose s(u) = 0. What is u?
1, 2
Let h = 1524 - 1521. Let j(z) be the first derivative of 3*z - 2*z**2 + 1/3*z**h - 7. Determine v, given that j(v) = 0.
1, 3
Let s(q) be the second derivative of -3/8*q**4 + 0*q**2 + 16*q - 7/60*q**6 + 0 + 0*q**3 - 1/84*q**7 - 3/8*q**5. Determine p, given that s(p) = 0.
-3, -1, 0
Let c(k) = -7*k + 15*k**3 - 14*k - 3 + 12*k - 6*k**3 - 9*k**2. Let w(f) = -f**3. Let r(i) = -5*i + 2. Let b be r(-2). Let p(v) = b*w(v) + c(v). Factor p(u).
-3*(u + 1)**3
Let x = -42 - -48. Let h(l) = l**2 - 3*l - 7. Let j be h(5). Factor y - j*y**2 - 4*y + 0*y - x + 6*y**2.
3*(y - 2)*(y + 1)
Let z(a) be the first derivative of a**3/3 - 5*a**2/2 + 4*a + 20. Factor z(l).
(l - 4)*(l - 1)
Factor -1859/2*w**2 + 1953*w - 31*w**3 - 3969/4 - 1/4*w**4.
-(w - 1)**2*(w + 63)**2/4
Let z = 255 - 237. Suppose -4 = -3*t + 2*t. Determine r so that -r**4 + t*r - z*r**2 + 12*r**3 - 3 + 8*r - 2*r**4 = 0.
1
Let l be (-27)/(-54) + (-2 - -2). Suppose -l*i**2 - 3/4*i**4 + 0 + 7/4*i**3 + 0*i = 0. Calculate i.
0, 1/3, 2
Suppose 1/2*f + 1/2*f**3 + 0 + f**2 = 0. Calculate f.
-1, 0
Let g = -81 - -86. Suppose -g*z + 9 = -2*z. Suppose 1/2*t + 1 - t**2 - 1/2*t**z = 0. Calculate t.
-2, -1, 1
Let a be ((-188)/(-20) + -9)*(-10)/(-12). Solve a*p**2 + 0*p**3 + 0*p - 1/3*p**4 + 0 = 0 for p.
-1, 0, 1
Let z be (-1)/1*1*-3. Let a = z - 3. What is k in 2*k - k**2 + 0*k**4 - k**4 - 2*k**3 + 2*k**4 + a*k**4 = 0?
-1, 0, 1, 2
Let 2/9*k**5 - 182/9*k - 172/9*k**3 + 46/9 + 38/9*k**4 + 268/9*k**2 = 0. Calculate k.
-23, 1
Let s(t) be the third derivative of t**6/280 + 27*t**5/35 - 193*t**2 + t. Determine b so that s(b) = 0.
-108, 0
Let y(t) be the third derivative of -t**8/224 + t**7/56 + t**6/40 - 19*t**5/80 + t**4/2 - t**3/2 + 10*t**2 + 6*t. Let y(g) = 0. What is g?
-2, 1/2, 1, 2
Let y(a) be the third derivative of a**5/390 - 5*a**4/156 - 391*a**2. Factor y(s).
2*s*(s - 5)/13
Let g(y) be the first derivative of 1/2*y**2 - 1/2*y**4 + 0*y**5 + 0*y + 20 + 0*y**3 + 1/6*y**6. Factor g(v).
v*(v - 1)**2*(v + 1)**2
Let u(y) be the third derivative of y**6/180 + y**5/9 + 11*y**4/12 + 4*y**3 - 369*y**2. Factor u(s).
2*(s + 3)**2*(s + 4)/3
Suppose r - 1 = 2, 0 = -5*o - 4*r + 27. Let d be 407/20 + 58/(-580). Let d + 27/2*h**2 - 3*h**o - 27*h + 1/4*h**4 = 0. Calculate h.
3
Let v(b) be the first derivative of 5/12*b**4 - 1/9*b**3 + 11 - 2/3*b + 1/5*b**5 - 5/6*b**2. Suppose v(q) = 0. Calculate q.
-1, -2/3, 1
Factor 72 - 378*f**4 - 10*f**2 + 11*f - f**5 + 378*f**4 - 71*f + 15*f**3.
-(f - 2)**3*(f + 3)**2
Let 3/