20 = 0, -5*h - 5*j + 4 = -j. Factor 4*y**h + y**4 + 95*y**5 - 94*y**5.
y**4*(y + 5)
Let f(v) be the third derivative of -9*v**2 + 0*v**3 - 5/1008*v**8 + 0*v + 7/180*v**5 - 1/90*v**7 + 1/120*v**6 + 1/36*v**4 + 0. Suppose f(k) = 0. What is k?
-1, -2/5, 0, 1
Let p(y) be the third derivative of -y**5/48 + 683*y**4/96 + 137*y**3/12 - 14*y**2 - 21*y. Suppose p(u) = 0. What is u?
-2/5, 137
Let z(y) be the first derivative of y**6/3 + 2*y**5 + 9*y**4/2 + 14*y**3/3 + 2*y**2 + 48. Factor z(h).
2*h*(h + 1)**3*(h + 2)
Let o(n) be the second derivative of 2*n**6/15 - 40*n**5 + 5000*n**4 - 1000000*n**3/3 + 12500000*n**2 + 48*n - 1. Suppose o(g) = 0. What is g?
50
Let l(x) be the second derivative of x**7/210 + x**6/120 - x**5/60 - x**4/24 - 13*x**2 + 2*x. Let p(m) be the first derivative of l(m). Let p(i) = 0. What is i?
-1, 0, 1
Let r(u) = -4*u**2 + 1. Let b(j) = -19*j**2 - 11. Let k(y) = 4*b(y) - 20*r(y). Find m such that k(m) = 0.
-4, 4
Let s(j) be the second derivative of 0 + 5/12*j**4 + 19*j - 10/3*j**3 + 10*j**2. Let s(n) = 0. What is n?
2
Suppose -g - 10 = h, -2*h - 2*h - 42 = 5*g. Let f be 4/(-14)*h + 0. Determine d, given that 4/7 + d**2 + f*d = 0.
-2, -2/7
Let r(n) be the second derivative of n**5/15 + 31*n**4/9 + 78*n - 2. Factor r(g).
4*g**2*(g + 31)/3
Suppose -3/5*m**5 + 66/5*m**2 + 96/5*m - 24/5*m**4 - 39/5*m**3 - 96/5 = 0. Calculate m.
-4, -2, 1
What is x in 3/5*x - 6/5*x**3 - 1/5*x**4 - 1/5 + 3/5*x**5 + 2/5*x**2 = 0?
-1, 1/3, 1
Let w(x) be the third derivative of x**7/3360 + x**6/192 + 3*x**5/80 - 13*x**4/24 + 2*x**2. Let v(u) be the second derivative of w(u). Factor v(j).
3*(j + 2)*(j + 3)/4
Solve 36/5 + 22/5*j + 2/5*j**2 = 0 for j.
-9, -2
Let d(f) be the first derivative of 18 + 0*f + 2*f**3 - 1/4*f**4 - 9/2*f**2. Factor d(t).
-t*(t - 3)**2
Factor -18*p - 4 - 7 + 4*p**2 - 9 + 2*p.
4*(p - 5)*(p + 1)
Suppose 5*p = -12*t + 13*t + 18, 5*p = -3*t + 26. Determine h, given that -2/3*h**4 + 0 - 4/3*h**2 - t*h**3 + 0*h = 0.
-2, -1, 0
Factor 4*t**4 - 35*t + 21*t**2 + t**4 + 10 + 39*t**2 - 25*t**3 - 15*t**2.
5*(t - 2)*(t - 1)**3
Factor 1/5*p**2 + 0 + 32/5*p.
p*(p + 32)/5
Suppose 196 = -8*x - 180. Let y = 237/5 + x. Suppose -2/5*f**2 + y + 2/5*f - 2/5*f**3 = 0. What is f?
-1, 1
Let s = 23184 + -23182. Factor 22/7*r**s + 12/7*r + 0 + 8/7*r**3 - 2/7*r**4.
-2*r*(r - 6)*(r + 1)**2/7
Let -3*k**4 + 3*k**2 - 3/2*k**5 + 0 + 3/2*k + 0*k**3 = 0. Calculate k.
-1, 0, 1
Let b be (-2)/48*3 + (-130)/(-16). Let x be b*(-2)/28 - 74/(-105). Factor -2/5*h**3 + 2/3*h**2 - x*h - 2/15.
-2*(h - 1)**2*(3*h + 1)/15
Let j = 11 - 1. Suppose -2*t + 4*t - j = 0. Find m such that -t + 8*m - 3*m**2 + 3*m**2 + 1 - 4*m**2 = 0.
1
Suppose -3*q + 3*n = -6, -n - 167 = 4*q - 165. Let j(d) be the second derivative of -1/4*d**4 + 6*d + 0*d**5 + 1/30*d**6 + 0*d**2 + q - 1/3*d**3. Factor j(h).
h*(h - 2)*(h + 1)**2
Let z(t) = -t**2 + t + 2. Let c be z(0). Find a, given that -15 + 39*a**c + 6*a - 15*a**4 + 288*a**3 - 3*a**5 - 9 - 291*a**3 = 0.
-4, -2, -1, 1
Let p(k) be the third derivative of -k**5/330 + k**4/132 + 4*k**3/11 + 12*k**2 - 7. Solve p(x) = 0.
-3, 4
Let n = 39 + -41. Let y(z) = -26*z**4 + 15*z**3 - 11*z**2 + 11. Let b(s) = -5*s**4 + 0*s**4 + 3*s**3 - 2*s**2 + 0 + 2. Let u(l) = n*y(l) + 11*b(l). Factor u(i).
-3*i**3*(i - 1)
Factor -2*r**3 + 9*r + 19*r - 9*r**2 + r**3 + 13*r - 19*r.
-r*(r - 2)*(r + 11)
Let a(i) be the third derivative of i**6/24 + i**5/12 - 15*i**4/8 - 15*i**3/2 + 94*i**2. Suppose a(x) = 0. Calculate x.
-3, -1, 3
Let t = -48 + 13. Let b be (6/(-5))/(14/t). Factor -2/11*w**b + 4/11 + 0*w**2 + 6/11*w.
-2*(w - 2)*(w + 1)**2/11
Let h = 330 - 190. Let n be (-2)/(-20) - (-46)/h. Factor 0 - n*x + 3/7*x**3 + 0*x**2.
3*x*(x - 1)*(x + 1)/7
Let s = 58 - 61. Let b = -3 - s. Let -3/2*m**2 + b + 1/2*m**4 + m + 0*m**3 = 0. Calculate m.
-2, 0, 1
Let m(h) be the third derivative of 7/960*h**6 - 1/12*h**3 + 13/192*h**4 + 0*h + 7*h**2 + 0 - 1/1680*h**7 - 1/32*h**5. Let m(f) = 0. What is f?
1, 4
Let m(y) be the first derivative of 1/84*y**4 + 1/105*y**5 - 2*y**2 + 1/420*y**6 + 0*y - 5 + 0*y**3. Let s(u) be the second derivative of m(u). Factor s(n).
2*n*(n + 1)**2/7
Suppose 3*z - 15 = 5*s + 21, -s = 0. Factor -20*v**2 + 5*v**4 + 59*v**2 + z*v**3 + 3*v**3 - 29*v**2.
5*v**2*(v + 1)*(v + 2)
Find v such that -99*v**5 + 80*v**3 + 48*v**5 - 75*v**4 + 46*v**5 = 0.
-16, 0, 1
Let 2*u + 2/15*u**4 - 14/15*u**2 - 2/5*u**3 + 12/5 = 0. What is u?
-2, -1, 3
Let o(t) = -923*t**3 + 1950*t**2 - 60*t - 109. Let n(q) = 185*q**3 - 390*q**2 + 12*q + 22. Let j(w) = 11*n(w) + 2*o(w). Factor j(s).
3*(s - 2)*(7*s - 2)*(9*s + 2)
Let j(p) = -2*p**2 + 4*p - 6. Let k(u) = u**3 - 8*u**2 - 10*u + 12. Let y be k(9). Let z(m) = m**2 - 3*m + 5. Let c(h) = y*j(h) + 4*z(h). Factor c(r).
-2*(r - 1)*(r + 1)
Let y(d) be the second derivative of -d**6/360 + 2*d**5/105 - d**4/42 + 29*d**3/6 - 17*d. Let l(o) be the second derivative of y(o). Find b such that l(b) = 0.
2/7, 2
Let j = -4787 - -4789. Suppose 47/2*g + 29/2*g**2 + 5 + j*g**3 = 0. What is g?
-5, -2, -1/4
Let c(s) be the second derivative of s**5/60 + s**4/6 + 2*s**3/3 - 5*s**2/2 + 2*s. Let q(w) be the first derivative of c(w). Suppose q(b) = 0. Calculate b.
-2
Let h(i) be the second derivative of 0 - 2*i - 1/18*i**4 + 2/3*i**2 - 1/9*i**3. Let h(q) = 0. Calculate q.
-2, 1
Let s(i) be the second derivative of -i**5/10 - 5*i**4/6 - i**3 + 21*i**2/2 + 10*i. Let k(w) be the first derivative of s(w). Factor k(c).
-2*(c + 3)*(3*c + 1)
Factor -4*a - 2/7*a**2 + 30/7.
-2*(a - 1)*(a + 15)/7
Let 2/7*k**3 + 50/7*k**2 + 176/7*k + 24 = 0. What is k?
-21, -2
Let h(m) = 15*m**2 - m. Let p be h(1). Suppose -4*r = -x - p, -2*r + 0*r + 18 = 5*x. Solve -6 - 4*z + 23 - 4*z**x + 7 = 0 for z.
-3, 2
Let d(o) be the first derivative of o**6 - 4*o**5 - 4*o**4 + 111. What is n in d(n) = 0?
-2/3, 0, 4
What is k in -49 + 5*k**2 - 67 - 178 + 230*k + 59 = 0?
-47, 1
Let p(w) = -w**3 - 13*w**2 - 115*w - 511. Let z be p(-7). Factor z + 0*v - 30/7*v**3 + 12/7*v**2 - 6*v**4.
-6*v**2*(v + 1)*(7*v - 2)/7
Let r(w) = -3*w - 57. Let u be r(-20). Suppose -3*z - 2*c = 2, 4*c + 18 = u*z + c. Factor -1/7*p - 1/7*p**z + 2/7.
-(p - 1)*(p + 2)/7
Let r be (-10)/2 - (-10 - -3). Determine n so that -r*n**3 - 5 - 3 + 3 - 14*n - 10*n**2 - 1 = 0.
-3, -1
Suppose y = -y + 8. Let q(i) = -5*i**3 - 25*i**2 + 4*i + 4. Let w(g) = 5*g**3 + 25*g**2 - 5*g - 5. Let d(c) = y*w(c) + 5*q(c). Determine n so that d(n) = 0.
-5, 0
Let m be 96/(-168)*(-14)/4. Let z(i) be the third derivative of 0 - 1/90*i**5 + 0*i + 1/18*i**4 - m*i**2 - 1/9*i**3. Solve z(v) = 0.
1
Let w = 95 - 91. Let n be ((-3)/w - 21/(-28))/(-1). Find h such that 9/5*h**3 + n + 3/5*h**2 + 0*h = 0.
-1/3, 0
Let w(u) be the first derivative of u**5/5 - 8*u - 4. Let r(c) be the first derivative of w(c). Factor r(z).
4*z**3
Factor -1/4*o**3 - 16 + 15/4*o**2 - 12*o.
-(o - 8)**2*(o + 1)/4
Let x = -93 - -347. Let t = x + -507/2. Factor 0*a - t*a**4 + 1/3*a**3 + 0*a**2 + 1/6*a**5 + 0.
a**3*(a - 2)*(a - 1)/6
Let b(a) = -283*a + 10193. Let x be b(36). Determine m, given that 40/9*m**2 + 16/3*m - 16/9 - m**4 - 40/9*m**3 + 7/9*m**x = 0.
-2, -1, 2/7, 2
Factor -24/11*d**2 - 48/11 - 70/11*d - 2/11*d**3.
-2*(d + 1)*(d + 3)*(d + 8)/11
Factor 119*g + 35*g**2 + 0*g**3 + 5*g**3 + 63*g - 132*g.
5*g*(g + 2)*(g + 5)
Let k(n) be the third derivative of -n**7/4200 - n**6/900 - n**5/600 + 2*n**3/3 - 6*n**2. Let c(a) be the first derivative of k(a). Factor c(p).
-p*(p + 1)**2/5
Let -11/2*s**3 + 0 - s + 17/4*s**2 + 9/4*s**4 = 0. Calculate s.
0, 4/9, 1
Let i(w) be the second derivative of 0 - 19*w + 1/20*w**5 + 0*w**2 - 1/12*w**4 - 1/3*w**3. Factor i(n).
n*(n - 2)*(n + 1)
Let v(g) be the third derivative of g**5/100 + 49*g**4/20 + 2401*g**3/10 - 14*g**2. Find b, given that v(b) = 0.
-49
Let d(k) = 10*k**3 - 10*k**2 - 45*k - 25. Let n(l) = -l**3 - l**2. Let p(v) = -d(v) - 5*n(v). Factor p(i).
-5*(i - 5)*(i + 1)**2
Suppose -67 = -5*x + 413. Let m = x - 72. Suppose -16/5*n + 0 - 50*n**4 - 60*n**3 - m*n**2 = 0. Calculate n.
-2/5, 0
Let p be (-646)/(-255) - (-4)/6. Let t(h) be the first derivative of -1/5*h**4 - 9 + 22/5*h**2 + 8/5*h + p*h**3 - 16/25*h**5. Let t(i) = 0. What is i?
-1, -1/4, 2
Let g(i) = -2*i**2 - 6*i + 13. Let n be g(-4). Suppose -z = n*z + z. Find y, given that 2/7*y**3 + 2/7*y + z - 