c**3/3 + 6*c. Let j(k) be the second derivative of h(k). Factor j(m).
-2*m*(m - 2)*(m + 1)/5
Let p(v) be the first derivative of -21/16*v**2 - 11/8*v**3 - 3/8*v + 24 - 15/32*v**4. Suppose p(h) = 0. What is h?
-1, -1/5
Let d(g) = -8*g**3 - 32*g**2 - 45*g - 26. Let q(u) = -5*u**3 + 71 - 4*u**3 - 33*u**2 - 98 - 45*u. Let k(b) = 6*d(b) - 5*q(b). Find j, given that k(j) = 0.
-7, -1
Let k(n) be the first derivative of -n**6/72 + 19*n**5/96 + 25*n**4/96 - 8*n**3 - 10. Let u(c) be the third derivative of k(c). Factor u(g).
-5*(g - 5)*(4*g + 1)/4
Let y(l) = -11*l**4 + 2*l**3 - l**2 - 8*l + 6. Let p(a) = -9*a**4 + 2*a**3 - a**2 - 7*a + 5. Let v(n) = -6*p(n) + 5*y(n). Factor v(r).
-r*(r - 1)*(r + 1)*(r + 2)
Factor 0 - m + m**2 - 1/4*m**3.
-m*(m - 2)**2/4
Let u be 3 - (11 + -11 - 1). Find r, given that 2/7*r**2 + 0 + 0*r - 12/7*r**3 - 8/7*r**5 + 18/7*r**u = 0.
0, 1/4, 1
Let n(s) be the third derivative of -s**6/660 + 7*s**5/330 + 17*s**4/132 + 3*s**3/11 - 10*s**2. Determine l so that n(l) = 0.
-1, 9
Let -10/7*l - 2/7*l**5 + 12/7*l**3 + 4/7*l**4 - 16/7*l**2 + 12/7 = 0. What is l?
-2, -1, 1, 3
Let c(d) be the second derivative of d**4/96 + 49*d**3/12 + 2401*d**2/4 + d + 67. Find i such that c(i) = 0.
-98
Let a be 5/(-10)*-2 - (-4 + 1). Factor 28*k**a - 2*k**3 - 2*k**2 - 10*k**2 - 26*k**4.
2*k**2*(k - 3)*(k + 2)
Let b be ((-27 - -4) + 5)*(-4)/(-6). Let c be b/12*3/(-1). Factor 2/5*n + 0*n**c + 0 + 4/5*n**4 - 4/5*n**2 - 2/5*n**5.
-2*n*(n - 1)**3*(n + 1)/5
Suppose 67*s = 325*s - 516. Suppose 3/2 + 15/8*y**s + 3*y + 3/8*y**3 = 0. What is y?
-2, -1
Let b = 1010 - 51514/51. Let o = 326/255 + b. Find y, given that 2/5*y**2 + 0 + o*y = 0.
-3, 0
Solve 10/13*b**2 + 6/13*b + 2/13*b**3 + 0 - 2/13*b**4 = 0 for b.
-1, 0, 3
Let w(f) be the third derivative of -f**7/90 + 47*f**6/360 + 7*f**5/90 + 218*f**2. Factor w(t).
-t**2*(t - 7)*(7*t + 2)/3
Let b(p) be the second derivative of p**8/240 + p**7/168 - p**6/40 - p**5/24 + p**4/12 - 2*p**3 + 11*p. Let f(r) be the second derivative of b(r). Factor f(o).
(o - 1)*(o + 1)**2*(7*o - 2)
Let d be ((3 + -1)/(-1))/(-4 + 3). Let u(i) = i**3 + i**2 - 1. Let m(j) = 4*j**3 + 4*j**2 + 10*j - 12. Let n(x) = d*m(x) - 12*u(x). Suppose n(b) = 0. What is b?
-3, 1
Let r(a) = -5*a**3 - 25*a**2 + 15*a + 20. Let s(b) = -13*b**2 + 1 - 2*b**3 + 3 + 4 + 2 + 8*b. Let j(z) = 3*r(z) - 5*s(z). Factor j(m).
-5*(m - 1)*(m + 1)*(m + 2)
Let s(q) be the second derivative of 0 - 1/66*q**4 + 0*q**3 + 8*q + 0*q**2. Find k, given that s(k) = 0.
0
Find h such that 7*h**2 + 1043*h**3 - 1046*h**3 - 19*h**2 = 0.
-4, 0
Let w(p) be the third derivative of 0*p - 1/4*p**4 - 1/2*p**3 - 8*p**2 + 1/70*p**7 + 0 + 1/20*p**6 + 0*p**5. Factor w(z).
3*(z - 1)*(z + 1)**3
Factor -4/5*v**3 + 1/5*v**4 + 4/5*v**2 + 0 + 0*v.
v**2*(v - 2)**2/5
Factor 2*v**4 - 4*v**3 + 85*v**2 - 65*v**2 + 18*v**3.
2*v**2*(v + 2)*(v + 5)
Let o(k) be the second derivative of -21*k - 1/150*k**6 - 11/100*k**5 - 7/12*k**4 - 5/6*k**3 + 0*k**2 + 0. Find z, given that o(z) = 0.
-5, -1, 0
Let c(k) be the third derivative of 3*k**8/112 - k**7/7 - 3*k**6/10 + 7*k**5/10 + 9*k**4/8 - 2*k**3 - 32*k**2. Suppose c(m) = 0. Calculate m.
-1, 1/3, 1, 4
Let h(p) = 16*p**3 - 26*p**2 + 12*p - 18. Let y(r) = r**3 - r**2 + r - 1. Let s(t) = 2*h(t) - 36*y(t). Factor s(i).
-4*i*(i + 1)*(i + 3)
Suppose 31*k - 33*k = 60. Let c be 6/k - (-8)/10. Find s such that 0 + 3/5*s**5 - 3/5*s**3 - 3/5*s**2 + 0*s + c*s**4 = 0.
-1, 0, 1
Suppose 93*n = 90*n + 60. Let g = 64/3 - n. Factor 0 + g*p - 3*p**3 - 4*p**2 + 7/3*p**4.
p*(p - 2)*(p + 1)*(7*p - 2)/3
Suppose -21*q = -7*q - 42. Determine z, given that -4/3*z**2 + 2/3*z + 2/3*z**q + 0 = 0.
0, 1
Factor -320/3 - 2/3*m**2 - 88/3*m.
-2*(m + 4)*(m + 40)/3
Suppose 4*x - 24*x = -11*x. Let z(w) be the first derivative of -3/10*w**5 + 1/2*w**3 + x*w - 15/8*w**4 + 1 + 3/4*w**6 + 3/2*w**2. Find b such that z(b) = 0.
-1, -2/3, 0, 1
Suppose -8*h + 44 = 220. Let t be h/(-6) + 0 + (-3)/(-9). Solve 1/6*i**3 + 0*i**2 + 0 + 0*i - 1/6*i**t = 0.
0, 1
Let l(g) be the third derivative of -g**7/42 + g**6/12 + 5*g**5/4 - 15*g**4/2 + 501*g**2. Factor l(f).
-5*f*(f - 3)**2*(f + 4)
Let s(x) be the first derivative of -3*x**5/5 + 3*x**4 + 18*x**3 + 30*x**2 + 21*x - 81. Factor s(m).
-3*(m - 7)*(m + 1)**3
Let b(v) be the third derivative of -1/150*v**6 + 0 + 1/840*v**8 + 0*v**3 + 8*v**2 + 1/60*v**4 + 0*v**7 + 0*v + 0*v**5. Factor b(x).
2*x*(x - 1)**2*(x + 1)**2/5
Let n(r) be the second derivative of r**4/24 + 2*r**3/3 - 5*r**2 - 11*r. Factor n(q).
(q - 2)*(q + 10)/2
Factor 0 - 13/5*k**3 + 12*k**4 - 1/5*k - 2*k**2 - 36/5*k**5.
-k*(k - 1)**2*(6*k + 1)**2/5
Let s(c) be the third derivative of -3*c**2 + 4/15*c**3 + 0 + 1/150*c**5 + 1/15*c**4 + 0*c. Factor s(t).
2*(t + 2)**2/5
Let m(f) be the second derivative of -f**7/105 + 4*f**6/25 - 53*f**5/50 + 53*f**4/15 - 32*f**3/5 + 32*f**2/5 - 173*f. Suppose m(l) = 0. What is l?
1, 2, 4
Let p(t) = t - 5 + 2*t + 0*t - t. Let v be p(4). Suppose -3*y**3 - 2*y + 5*y + v*y + 9*y**2 - 3*y**5 + 0*y - 9*y**4 = 0. Calculate y.
-2, -1, 0, 1
Factor -48*y - 51*y**3 + 66*y**2 + 9*y**4 - 87*y + 111*y.
3*y*(y - 4)*(y - 1)*(3*y - 2)
Let i(y) be the third derivative of y**10/50400 + y**9/8960 + y**8/13440 - 7*y**5/20 - 18*y**2. Let j(p) be the third derivative of i(p). Factor j(n).
3*n**2*(n + 2)*(4*n + 1)/4
Let c = 5728 - 5728. Solve c*w**2 - 1/3*w**4 + 0 + w**3 - 4/3*w = 0.
-1, 0, 2
Let l(q) be the first derivative of -20 + 28/19*q**2 - 2/19*q - 392/57*q**3. Factor l(p).
-2*(14*p - 1)**2/19
Let b(s) be the second derivative of -s**4/54 + 46*s**3/9 - 529*s**2 + 321*s. Factor b(y).
-2*(y - 69)**2/9
Let c = -3/65 - -461/130. Let r = -17/6 + c. Factor -t + 0*t**2 + 1/3*t**3 + r.
(t - 1)**2*(t + 2)/3
Let c(i) be the second derivative of i**5/20 + 5*i**4/3 + 50*i**3/3 + 247*i. Factor c(d).
d*(d + 10)**2
Let n = -12 + 12. Let l be 2/(-21)*(-9 + -5 - 0). Find k such that 0 + n*k - l*k**2 - 2/3*k**3 = 0.
-2, 0
Let i(p) be the first derivative of -2 + 1/2*p**2 - 1/2*p - 1/6*p**3. Factor i(n).
-(n - 1)**2/2
Let d = -99 - -134. Let s be (-8)/14*(-6)/(60/d). Factor -1/2*q**3 + 0 - 1/2*q + q**s.
-q*(q - 1)**2/2
Let i = 6214/3 + -2071. Find b such that i*b**2 + 0 + b = 0.
-3, 0
Suppose 2*r = -3*a + 20, 5*r - 14 - 10 = -a. Factor 6*h**3 + 6*h**2 + 5*h**3 - 5*h**3 + 4*h**3 - a*h.
2*h*(h + 1)*(5*h - 2)
Let r(l) be the third derivative of 0*l - 3*l**2 - 1/84*l**6 + 4/105*l**5 + 1/735*l**7 - 1/21*l**4 + 0*l**3 + 0. Suppose r(g) = 0. What is g?
0, 1, 2
Let p = -10 - -10. Let s(m) be the first derivative of -1 + 3*m**3 - 12*m + p*m**2 - 3/4*m**4. Factor s(q).
-3*(q - 2)**2*(q + 1)
Determine w so that 1936*w + 1/3*w**3 - 44*w**2 - 85184/3 = 0.
44
Let f = -3580/7 + 512. Factor 0 + 4/7*b**2 + 0*b + 4/7*b**3 - f*b**4 - 4/7*b**5.
-4*b**2*(b - 1)*(b + 1)**2/7
Let o be (-16)/(-42) - 70/1470. Factor 8/3*v**2 + o*v**3 + 7*v + 6.
(v + 2)*(v + 3)**2/3
Suppose -h - 638*r + 642*r - 8 = 0, 4*h - 10 = 2*r. Factor 1/7*f**h + 6/7*f - 11/7*f**2 + 0 + 4/7*f**3.
f*(f - 1)**2*(f + 6)/7
Let b(c) be the first derivative of 0*c**2 - 1/33*c**6 - 5 + 0*c + 1/22*c**4 - 2/33*c**3 + 2/55*c**5. Factor b(o).
-2*o**2*(o - 1)**2*(o + 1)/11
Let m(o) be the first derivative of -o**4/20 + o**3/3 - 3*o**2/5 - 75. Factor m(b).
-b*(b - 3)*(b - 2)/5
Let v(y) be the third derivative of -y**8/252 - 2*y**7/105 + y**6/30 + 11*y**5/45 + y**4/3 + 61*y**2 - y. What is c in v(c) = 0?
-3, -1, 0, 2
Let h(t) = -12 + 4 - 5*t**2 - 3*t - 5*t + 2 + 3. Let i(x) = x**2 + x. Suppose y - 1 = -0*y. Let u(b) = y*h(b) + 2*i(b). Factor u(j).
-3*(j + 1)**2
Suppose -129*l + 0 + 6 = 6. Let l - d**2 - 1/2*d**3 + 0*d = 0. Calculate d.
-2, 0
Suppose 8*i - 144 = -4*i. Let z = i + -10. Factor 3/5*a**4 - 12/5*a + 9/5*a**3 + 0*a**z + 0.
3*a*(a - 1)*(a + 2)**2/5
Let a(c) = 4*c**2 + 7 + 0*c + 6*c - 3*c**2. Let d be a(-5). Suppose -8*r**3 + 0*r**3 + d*r**2 + 8*r**4 + r**3 - 3*r**5 = 0. What is r?
0, 2/3, 1
Solve -91*x - 40 + 17*x**3 - 5*x**5 - 11*x**2 + 18*x**3 + x + 15*x**4 - 24*x**2 = 0.
-1, 2, 4
Let n(q) be the third derivative of q**5/30 + 7*q**4/4 + 20*q**3/3 - q**2 - 15*q. Factor n(b).
2*(b + 1)*(b + 20)
Let r(q) be the third derivative of -q**6/540 - 4*q**5/135 + 11*q**4/27 - 16*q**3/9 - 204*q**2. Factor r(o).
-2*(o - 2)**2*(o + 12)/9
Suppose 9*v = 8*v + 2. Factor 4*o**v + 22*o + 0 +