20 + q**6/840 - q**5/210 + q**4/4 + 8*q. Let i(h) be the third derivative of p(h). Factor i(x).
-2*(x - 2)*(x - 1)/7
Factor -9/7*t**3 - 4/7*t**4 + 0 + 9/7*t**2 + 0*t.
-t**2*(t + 3)*(4*t - 3)/7
Let t(n) be the second derivative of -n**7/105 + n**6/25 + 3*n**5/25 - n**4/3 - 7*n**3/5 - 9*n**2/5 - 65*n + 3. Factor t(i).
-2*(i - 3)**2*(i + 1)**3/5
Factor -116*y + 25*y**3 - 161*y**3 - 455*y**2 + 15*y**4 + y - 189*y**3.
5*y*(y - 23)*(y + 1)*(3*y + 1)
Let r(j) = 3*j + 11. Let p be r(-3). Let v be (-81)/21 - (2 - p - 4). Factor 2/7*z + v*z**2 + 0.
z*(z + 2)/7
Let h(a) be the first derivative of 3*a**5/10 - 9*a**4/4 + 9*a**3/2 + 22. Let h(j) = 0. What is j?
0, 3
Let h be (6/(-7))/(267/(-178)). Determine k, given that -h*k**3 + 0 - 2/7*k**2 - 2/7*k**4 + 0*k = 0.
-1, 0
Find j, given that 21*j**5 - 35*j**4 - 102*j**4 - 72*j - 132*j**2 - 46*j**4 - 87*j**3 + 720*j**3 - 267*j**3 = 0.
-2/7, 0, 1, 2, 6
Let h be (-3 - -13) + (-6)/((-12)/(-10)). Determine s, given that -h*s - 1/2*s**2 - 25/2 = 0.
-5
Let k(m) = -3*m**2 + 3855*m - 311016. Let b(l) = l**2 - 964*l + 77755. Let v(d) = -9*b(d) - 2*k(d). Suppose v(c) = 0. What is c?
161
Let u be ((-8)/7)/(((-126)/(-98))/(-3)). Suppose -u*p**3 - 5*p**2 + 16/3 - 1/3*p**4 + 8/3*p = 0. Calculate p.
-4, -1, 1
Let v(h) = 24*h**3 - 60*h**2 + 30*h + 6. Let i(m) = 25*m**3 - 59*m**2 + 29*m + 5. Let w(j) = 4*i(j) - 6*v(j). Factor w(a).
-4*(a - 2)*(a - 1)*(11*a + 2)
Let p(y) be the first derivative of -y**4/6 - 4*y**3/9 + 3*y**2 + 12*y - 386. Factor p(v).
-2*(v - 3)*(v + 2)*(v + 3)/3
Let b be (-30)/(-7) + 28/(-98). Find n such that -15*n**b + 1 + 5*n - 3*n**2 - 11*n - 1 + 24*n**3 = 0.
-2/5, 0, 1
Let t be (-6)/21 + (-27)/(-21). Let r be ((-60)/72)/(t/(-4)). Suppose -14/3*g**3 + 0 + r*g**2 + 4/3*g = 0. What is g?
-2/7, 0, 1
Factor -37/3*v**2 + 0 + 1/2*v.
-v*(74*v - 3)/6
Let u(d) = d**3 + 2 + 3*d - 8*d**2 + 2 - 12*d. Let j be u(9). Solve -2*a**3 + 14*a**2 - 2*a**4 - 16*a**2 + j*a**3 + 4*a**4 - 2*a**5 = 0 for a.
-1, 0, 1
Let w(z) be the second derivative of z**10/15120 - z**9/3780 + 5*z**4/4 - 15*z. Let c(k) be the third derivative of w(k). Factor c(m).
2*m**4*(m - 2)
Suppose -4*h + 8 + 2 = -m, 0 = -4*h - 3*m + 2. Let 25*i**4 + 2*i**3 + h*i**3 - 4*i**2 - 4*i - 21*i**4 = 0. Calculate i.
-1, 0, 1
Let d be (16/(-6))/((-652)/978). Find b, given that -d + 1/2*b**4 - 6*b + 3/2*b**3 - b**2 = 0.
-2, -1, 2
Solve -106/5*b**2 - 1197/5*b**3 + 24/5 + 148/5*b + 81*b**4 = 0.
-2/9, 2/5, 3
Find i such that -85*i + 5*i**2 - 79 + 79 = 0.
0, 17
Suppose 0 = 114*z - 103*z - 22. Let 0*t**4 + 0 - 4/7*t**z + 6/7*t**3 - 2/7*t**5 + 0*t = 0. Calculate t.
-2, 0, 1
Suppose 4*p = -p - 45. Let v be 12/p*4/(-16). Solve v*z - 1/3*z**2 + 1/3 - 1/3*z**3 = 0 for z.
-1, 1
Let w be 0 + 0 + -1 + 5. Let q be w/6 - (-196)/12. Let -q*d - 7*d + 14*d**3 + 18*d**2 - 37 + 29 = 0. What is d?
-2, -2/7, 1
Let t(g) be the third derivative of 0 + 1/10*g**5 - 17*g**2 - 1/4*g**4 - 1/60*g**6 + 0*g + 1/3*g**3. Suppose t(b) = 0. Calculate b.
1
Let x(g) be the third derivative of 15/2*g**5 + 80/3*g**3 + 29/24*g**6 + 10*g**2 + 20*g**4 + 0*g + 1/14*g**7 + 0. Factor x(o).
5*(o + 1)*(o + 4)**2*(3*o + 2)
Let s(c) = 2*c**2 - 168*c - 2357. Let n(d) = -3*d**2 + 336*d + 4713. Let g(v) = -5*n(v) - 9*s(v). Factor g(q).
-3*(q + 28)**2
Determine c so that -8*c**3 - 128*c**4 + 45*c**2 - 133*c**4 + 260*c**4 - 19*c - 17*c = 0.
-12, 0, 1, 3
Suppose -26*x + 47 + 21 = -10. Find v, given that -13/8*v - 1/8*v**x - 3/4 - v**2 = 0.
-6, -1
Suppose -4*t - 4 = -5*t. Find k such that -1 + 6 + 4*k - 8 - 4*k**2 + 7 - t*k**3 = 0.
-1, 1
Let s(d) be the first derivative of 4/35*d**5 + 0*d - 22 + 0*d**2 + 1/21*d**6 - 4/21*d**3 - 1/14*d**4. What is b in s(b) = 0?
-2, -1, 0, 1
Suppose -9*g + 4*g - 3*v = -13, -v + 11 = 5*g. Solve 4/9 - 2/3*t - 2/9*t**g - 2/9*t**4 + 2/3*t**3 = 0.
-1, 1, 2
Let r(s) = 0 + 8 + s**2 + 3 - 10*s + s. Let i be r(8). Factor -5*x - 7*x + 2*x - 98*x**i + 2*x + 56*x**2.
-2*x*(7*x - 2)**2
Suppose 20 = 4*t + 2*s, 3*s + 2*s - 30 = -5*t. Factor -15*f**2 - 5*f - t*f + 14*f**2.
-f*(f + 9)
Suppose -k = -5*k - i + 241, i = -k + 64. Let n = k - 59. Determine l so that 2/11*l**5 + 0*l**2 + 0 + n*l**4 - 2/11*l**3 + 0*l = 0.
-1, 0, 1
Determine q, given that 0 + 0*q + 100/3*q**3 + 142/3*q**4 + 8/3*q**5 - 34/3*q**2 = 0.
-17, -1, 0, 1/4
Let m(c) = -c**3 + 3*c + 3. Let o be m(-2). Let b(i) be the third derivative of 0*i + 1/30*i**5 + 0 - 1/3*i**4 + i**3 - o*i**2. Solve b(y) = 0 for y.
1, 3
Let z be (29/(-812))/((-8)/96). Let -6/7 - z*s**2 - 9/7*s = 0. What is s?
-2, -1
Let y(m) be the first derivative of -m**8/336 + 4*m**7/315 - 7*m**6/360 + m**5/90 + 8*m**2 - 4. Let j(f) be the second derivative of y(f). Factor j(z).
-z**2*(z - 1)**2*(3*z - 2)/3
Let 192/7*r + 8/7*r**3 - 134/7*r**2 - 72/7 + 6/7*r**4 = 0. Calculate r.
-6, 2/3, 1, 3
Let -4*d**2 - 47*d - 100 + 4*d**2 - 4 + 4*d**2 + 3*d = 0. What is d?
-2, 13
Let f(c) be the first derivative of -c**3/15 - 3*c**2/5 - 8*c/5 - 54. Factor f(q).
-(q + 2)*(q + 4)/5
Let b(a) be the third derivative of -a**7/1400 - a**6/300 + a**5/200 + a**4/20 + 14*a**3/3 + 37*a**2. Let o(u) be the first derivative of b(u). Factor o(c).
-3*(c - 1)*(c + 1)*(c + 2)/5
Let z(v) = 32*v**4 + 56*v**3 + 80*v**2 - 12*v - 100. Let f(o) = -o**4 - o**3 - o**2 + 1. Let n(b) = 28*f(b) + z(b). Factor n(h).
4*(h - 1)*(h + 2)*(h + 3)**2
Let b(q) = -q**3 - 43*q**2 + 12*q + 521. Let p be b(-43). Solve 0 - 6/11*g**3 - 4/11*g + 10/11*g**2 - 2/11*g**4 + 2/11*g**p = 0 for g.
-2, 0, 1
Let b be (-54)/(-135) - 28/(-5). Let l be (48/4)/3 - 8/b. Find t, given that 4/3*t**3 + l - 2*t**2 - 8/3*t + 2/3*t**4 = 0.
-2, 1
Let u = 149/2 - 443/6. Let v = 2/15 - -1/5. Find s such that u*s + v*s**2 + 0 = 0.
-2, 0
Let z(h) be the first derivative of -11*h**6/180 - 13*h**5/120 - h**4/36 - 8*h - 10. Let m(a) be the first derivative of z(a). Let m(n) = 0. Calculate n.
-1, -2/11, 0
Let q(h) be the third derivative of -3*h**8/112 - 23*h**7/56 - 53*h**6/24 - 19*h**5/4 - 5*h**4 - 8*h**3/3 - 186*h**2. Find a, given that q(a) = 0.
-4, -2/3, -1/4
Factor -2/11*o**3 + 0 + 12/11*o + 10/11*o**2.
-2*o*(o - 6)*(o + 1)/11
Let m be 2 + 164/(-180) - 3/15. Let t = m + -5/9. Solve 0 + t*a**2 + 1/3*a = 0.
-1, 0
Let p(i) be the first derivative of i**8/2520 - 2*i**7/1575 - i**6/300 - 19*i**2/2 + 2. Let v(t) be the second derivative of p(t). Let v(f) = 0. Calculate f.
-1, 0, 3
Let c(q) be the third derivative of q**6/60 + q**5/5 + 28*q**2 + 2. Determine h, given that c(h) = 0.
-6, 0
Let f(z) be the third derivative of z**7/42 - z**6/3 + z**5/2 + 25*z**4/3 + 125*z**3/6 - 17*z**2 - 1. Factor f(b).
5*(b - 5)**2*(b + 1)**2
Let j(f) be the second derivative of 0*f**3 - 18*f - 1/24*f**4 + 0 + 1/4*f**2. Factor j(t).
-(t - 1)*(t + 1)/2
Find m, given that -2/5*m**4 - 2/15*m**5 + 4/15*m**3 + 0 + 16/15*m + 8/5*m**2 = 0.
-2, -1, 0, 2
Determine d so that -24/5*d**5 - 94/5*d**4 - 118/5*d**3 - 56/5*d**2 + 0 - 8/5*d = 0.
-2, -1, -2/3, -1/4, 0
Let y(q) = 29*q - 9 - 34 - 38*q. Let l be y(-5). Suppose -6/13*m**3 - 2/13*m - 8/13*m**l + 0 = 0. Calculate m.
-1, -1/3, 0
Let m(f) be the first derivative of -f**7/420 - f**6/20 - f**5/4 + 25*f**4/12 + 5*f**3/3 + 1. Let k(w) be the third derivative of m(w). Factor k(u).
-2*(u - 1)*(u + 5)**2
Suppose 2*b + 17 = -4*x - 3*b, 0 = 2*x - 2*b - 14. Suppose -4*v**5 - 2*v**4 + 2*v**2 + 12*v**4 - 18*v**3 + 12*v**x - 4*v + 2*v**5 = 0. What is v?
0, 1, 2
Let s be 268/16 + 2/8. Let o(u) = -u**2 + 17*u + 2. Let h be o(s). Factor -1/3*q + 0 + 1/3*q**h.
q*(q - 1)/3
Let w(y) = y**2 + y - 55. Let f be w(7). Let k be 0/43 + (-2)/(-1) + f. Factor 0 - 4/3*v**2 + 8/9*v - 5/9*v**4 - 2*v**k.
-v*(v + 2)**2*(5*v - 2)/9
Let y(u) be the third derivative of -u**6/40 - 3*u**5/20 - u**4/4 + 22*u**2 + 3*u. Let y(p) = 0. What is p?
-2, -1, 0
Suppose -7*j = -0*j - 238. Find m, given that -9*m**3 + 6*m**2 - m**2 - 5*m**4 - 15*m**5 - 2*m + j*m**3 - 8*m = 0.
-1, 0, 2/3, 1
Let q = -1196 - -287041/240. Let m(y) be the third derivative of 0*y - 1/96*y**4 - 7*y**2 + q*y**5 - 1/12*y**3 + 0. Factor m(u).
(u - 2)*(u + 1)/4
Let v(u) be the third derivative of u**7/210 - 3*u**5/10 - 4*u**4/3 - 5*u**3/2 - 3*u**2 - 10*u. Determine g so that v(g) = 0.
-3, -1, 5
Suppose 108 = -20*j + 2*j. Let a be j - -8*(5 - 4). Factor 0 + 2*r**3 + 6/5*r - 14/5*r**a - 2/5*r**4.
-2*r*(r - 3)*(r - 1)