tive of g(p). Factor a(v).
-v**2*(v - 2)*(v - 1)**2/3
Let n(a) be the second derivative of -4/13*a**2 + 44*a + 0 + 4/39*a**3 - 1/78*a**4. Let n(o) = 0. Calculate o.
2
Let t be 5 - 3 - -41 - 0/(-4). Factor -3*f**4 + 43 + 12*f**3 - t - 2*f**2 - 10*f**2.
-3*f**2*(f - 2)**2
Suppose 122 = 4*g - 298. Let y be -5 - (5 + g/(-10)). Factor 1/2*z**4 + 0*z + 0 - z**2 + y*z**3.
z**2*(z - 1)*(z + 2)/2
Let i be (-8)/(-3)*36/8. Let q = i - 12. Find j such that 5*j - 5*j + j**3 - j**2 + q*j**2 = 0.
0, 1
Let h = -8 - -10. What is o in -1 - 1 + 19*o**3 + 2*o**2 - 21*o**3 + h*o = 0?
-1, 1
Let t(w) be the second derivative of -2*w**5/45 - 2*w**4/27 - w**3/27 - 30*w. Let t(f) = 0. What is f?
-1/2, 0
Let o = 697/1220 - -7/244. Determine a, given that 0*a**2 - 3/5*a + 0 + o*a**3 = 0.
-1, 0, 1
Let d = 86 + -84. Solve 0*y + 2/5*y**3 - 11/5*y**4 + 0 + 0*y**d = 0.
0, 2/11
Let s(p) = p**3 - 9*p**2 + 2. Let h be s(9). Let r = 2 + h. Factor -2 - 22*n**3 - 4 + 31*n**3 + 3*n**r + 3*n**2 - 9*n.
3*(n - 1)*(n + 1)**2*(n + 2)
Let j = -6805 - -6807. Factor -4/3 + 2/3*p + 2/3*p**j.
2*(p - 1)*(p + 2)/3
Let q(p) be the third derivative of 0*p**5 + 0 - 1/36*p**4 + 2/3*p**3 + 4*p**2 + 1/540*p**6 + 0*p. Let x(c) be the first derivative of q(c). Factor x(t).
2*(t - 1)*(t + 1)/3
Suppose 3/4*i - 1/4*i**3 + i**2 - 9/2 = 0. Calculate i.
-2, 3
Let o(p) be the third derivative of p**7/630 - p**5/45 + 73*p**2. Factor o(y).
y**2*(y - 2)*(y + 2)/3
Let b be (28/(-24))/7*(-4 + (-10)/(-4)). Factor -b*z**3 + 0 - z**2 - z.
-z*(z + 2)**2/4
Let l be (-9)/12*(-9)/(-18) + 882/112. Solve 25/4 + 5/4*n**2 - l*n = 0 for n.
1, 5
Let i = -23811/8 + 2977. Find v, given that 3/8*v**2 + 9/8*v + i - 1/8*v**3 = 0.
-1, 5
Let i be ((-8)/((-112)/(-35)))/(5/(-12)). Factor -15/2*y**2 - 3*y + 0 - 3/2*y**4 - i*y**3.
-3*y*(y + 1)**2*(y + 2)/2
Let d be 11 + -12 - (-1)/(10/14). Let c be 3 - 6/24*(-104)/(-10). Factor -4/5 + d*j**2 - c*j.
2*(j - 2)*(j + 1)/5
Solve 238 - 48*q**2 - 52*q**3 + 4*q**5 - 16*q - 24*q**4 - 238 - 8*q**5 = 0 for q.
-2, -1, 0
Let d(q) = q**2 + q. Let z(h) = -2*h**4 + 2*h**3 + 5*h**2 - 3*h - 4. Let i = 13 + -15. Let r(v) = i*z(v) - 2*d(v). Factor r(k).
4*(k - 2)*(k - 1)*(k + 1)**2
Let s(h) be the third derivative of -h**7/42 + h**6/8 - h**5/12 - 5*h**4/8 + 5*h**3/3 + 153*h**2. Factor s(b).
-5*(b - 2)*(b - 1)**2*(b + 1)
Let i(d) be the third derivative of -d**5/10 - 2*d**3/3 - 11*d**2. Let v(b) = -5*b**2 - 3. Let l(y) = 4*i(y) - 5*v(y). Factor l(j).
(j - 1)*(j + 1)
Factor 13*h - 147*h**3 - h - 10*h**2 - 155*h**3 + 304*h**3.
2*h*(h - 3)*(h - 2)
Let r(g) be the third derivative of -g**7/315 - g**6/180 + g**5/18 - g**4/12 - 16*g**2 + 3*g. Let r(z) = 0. Calculate z.
-3, 0, 1
Factor -16*h**3 + 4*h**2 - 4*h**4 + 36*h + 13*h**4 - 5*h**4 - 12*h.
4*h*(h - 3)*(h - 2)*(h + 1)
Let i(q) be the second derivative of 13*q**7/840 - q**6/180 - 13*q**5/120 + q**4/12 - 35*q**3/6 + 41*q. Let r(s) be the second derivative of i(s). Factor r(j).
(j - 1)*(j + 1)*(13*j - 2)
Let i be 48*(18 + (-646)/36). Suppose -2/3*z**2 - i - 10/3*z = 0. What is z?
-4, -1
Suppose 6*y + 2*y = 2*y + 18. Suppose -4 = -3*p + z, 0*p + 5*p + 5*z - 20 = 0. Determine w so that -w**y - 1/2*w + 0 - 3/2*w**p = 0.
-1, -1/2, 0
Suppose -365 = -32*i - 301. Solve 2/3*l**i + 2/3*l**3 - 2/3*l - 2/3*l**4 + 0 = 0.
-1, 0, 1
Let j = 25923/2 - 12961. Factor 0 - j*w**2 - 1/2*w.
-w*(w + 1)/2
Let b be ((-4)/2)/(((-96)/(-2814))/8). Let q = 5165/11 + b. Find m such that -q*m**4 - 8/11*m**2 + 0*m + 16/11*m**3 + 0 = 0.
0, 2/3, 2
Let g(y) = -y**2 + 11*y - 20. Let u be g(10). Let o be u*(0 - 2)/4. Let 4*b**3 + b**5 - 11*b**5 - 12*b**4 - 6*b**o = 0. What is b?
-1, 0, 1/4
Determine r so that 20*r**2 - 30*r**3 + 35*r**3 - 95*r**2 = 0.
0, 15
Let j(a) be the first derivative of -a**4 + 8*a**3 + 25. What is b in j(b) = 0?
0, 6
Let m(p) be the first derivative of p**3 - 15*p**2 - 72*p + 163. Find v, given that m(v) = 0.
-2, 12
Let c(v) be the third derivative of v**7/1890 + v**6/360 + v**5/180 + v**4/216 - 41*v**2. Find w such that c(w) = 0.
-1, 0
Let l = -65829/4 - -16458. Factor 3/4*z**2 - 3/2 + l*z.
3*(z - 1)*(z + 2)/4
Suppose -4*q + 16 = -5*b, 3*b = 4*q + 6*b - 48. Factor q*t**3 - 2*t - 9*t**4 + t + t + 3*t**5 - 3*t**2.
3*t**2*(t - 1)**3
Let a(j) = j**4 - 16*j**3 + 20*j**2 - 11*j + 3. Let y(l) = 16*l**3 - 20*l**2 + 12*l - 4. Let w(h) = -4*a(h) - 3*y(h). Factor w(v).
-4*v*(v - 2)*(v - 1)**2
Factor 496*x**5 - 497*x**5 + 2 - 9*x + 17*x**2 - 14*x**3 - x**2 + 6*x**4.
-(x - 2)*(x - 1)**4
Let o(d) be the first derivative of -8*d - 2 + 4/5*d**2 - 1/10*d**4 - 1/25*d**5 + 4/15*d**3 + 1/75*d**6. Let t(m) be the first derivative of o(m). Factor t(j).
2*(j - 2)**2*(j + 1)**2/5
Let y(w) = -590*w + 2362. Let m be y(4). Let -3 - 1/2*z**3 - 3*z**m - 11/2*z = 0. Calculate z.
-3, -2, -1
Let y(h) be the second derivative of h**5/4 + 235*h**4/4 + 11045*h**3/2 + 519115*h**2/2 - 888*h. Solve y(k) = 0.
-47
Suppose 4*y**2 - 16*y - 5*y**2 + 1550 - 1614 = 0. Calculate y.
-8
Let k(y) be the first derivative of 2*y**3/21 - 4*y**2/7 - 10*y/7 + 61. Suppose k(m) = 0. Calculate m.
-1, 5
Let w(u) be the first derivative of -4*u**3/3 + 14*u**2 - 24*u + 15. Factor w(c).
-4*(c - 6)*(c - 1)
Factor 86/7*f**3 + 0 + 10/7*f**4 + 0*f - 36/7*f**2.
2*f**2*(f + 9)*(5*f - 2)/7
Let t = -10169/18 - -565. Let p(c) be the first derivative of -8 - 1/6*c - t*c**3 + 1/6*c**2. Find y, given that p(y) = 0.
1
Let f(n) be the third derivative of n**7/140 - n**6/16 - 7*n**5/40 + 5*n**4/16 + 3*n**3/2 - 96*n**2. Factor f(v).
3*(v - 6)*(v - 1)*(v + 1)**2/2
Let a(g) = -15*g**3 - 13*g**2 + 15*g. Let z(b) be the second derivative of -7*b**5/20 - b**4/2 + 7*b**3/6 + 36*b. Let k(d) = 6*a(d) - 13*z(d). Factor k(s).
s*(s - 1)*(s + 1)
Let i(y) be the first derivative of 1/50*y**6 + 0*y**4 - 3/100*y**5 + 3 - 4*y + 0*y**3 + 0*y**2. Let r(t) be the first derivative of i(t). Factor r(f).
3*f**3*(f - 1)/5
Let m be -8*(-10 - -8)/(3 + 5). Determine j, given that -32/7*j**3 + 0*j - 10/7*j**4 - 8/7*j**2 + m*j**5 + 0 = 0.
-1, -2/7, 0, 2
Let r(t) be the third derivative of 0 + 0*t + 7/24*t**6 + 0*t**3 + 2*t**2 - 5/12*t**5 + 5/24*t**4 - 1/14*t**7. Factor r(m).
-5*m*(m - 1)**2*(3*m - 1)
Let f(l) = l**4 - l**3 - l**2 + 1. Let c(u) = -8*u**4 - 62*u**3 - 41*u**2 + 12*u + 1. Let h(g) = c(g) - f(g). Solve h(t) = 0.
-6, -1, 0, 2/9
Let c(b) be the second derivative of -6*b - 5/4*b**5 - 10*b**2 + 65/12*b**4 + 0 - 10/3*b**3. Factor c(u).
-5*(u - 2)*(u - 1)*(5*u + 2)
Find w, given that 0 - 8/7*w - 2/7*w**2 = 0.
-4, 0
Let a(f) = 6*f**2 + 368*f - 8469. Let i(k) = -28*k**2 - 1840*k + 42344. Let j(u) = 24*a(u) + 5*i(u). Factor j(t).
4*(t - 46)**2
Let n(x) = -6*x**4 - 8*x**3 + 2*x**2 - 6. Let d(p) = -p**3 - p**2 + 1. Let t(s) = -6*d(s) - n(s). What is k in t(k) = 0?
-2, -1/3, 0
Let l be ((-9)/(-15))/(((-8)/(-10))/4). Factor -5*q**3 + 4*q**4 - 2*q**l + 3*q**3 + 0*q**3.
4*q**3*(q - 1)
Suppose a - 1 = -0. Let j(x) = x**3 - x**2. Let m(v) = -3*v**4 + 11*v**3 + 43*v**2 + 51*v + 18. Let f(h) = a*m(h) - 2*j(h). Find n such that f(n) = 0.
-1, 6
Let j(x) = -6*x**2 - x. Let s be j(-1). Let a = -3 - s. Find m such that -2*m - m**3 - m**a + 8*m**2 - 13*m + 9 = 0.
1, 3
Factor 46*b**3 + 2*b**5 - 48*b**3 + 5*b + 7*b**2 - 7*b**4 + 1 - 5*b**5 - b**2.
-(b - 1)*(b + 1)**3*(3*b + 1)
Let s(o) = -4*o**2 - 3*o + 10. Let h be s(4). Let y = -28 - h. Suppose 8 + 15*i**2 - 61*i**2 - 14*i + y*i**3 + 50*i**5 - 2*i + 110*i**4 = 0. Calculate i.
-1, 2/5
Let a(y) be the first derivative of 2*y**7/21 - 16*y**6/15 + 4*y**5 - 16*y**4/3 + 38*y - 33. Let g(c) be the first derivative of a(c). Factor g(o).
4*o**2*(o - 4)*(o - 2)**2
Let q(g) = 23*g - 44*g**3 + 19*g**3 + 27 - 25*g**2 + 26*g**3. Let l be q(24). Solve -25/4*f**l + 9/4*f - 1/4 - 15/4*f**2 = 0 for f.
-1, 1/5
Let q be 18*3/18*1 - (2 - 1). Factor 0 + 1/3*f**3 + 0*f + 1/3*f**q.
f**2*(f + 1)/3
Factor -536 + 15*u**2 + 20*u - 17*u**2 + 584.
-2*(u - 12)*(u + 2)
Factor 0 + 0*t**2 - 2/11*t**5 + 0*t**3 + 0*t + 6/11*t**4.
-2*t**4*(t - 3)/11
Factor 8 + 5/2*n**4 + 20*n**2 - 20*n - 1/4*n**5 - 10*n**3.
-(n - 2)**5/4
Let w be 21/18 + 81/(-6) + 15. Determine o, given that 16/9*o - 2/9*o**2 - 2/9*o**3 + w = 0.
-2, 3
Suppose 2*c - 2*y - 20 = 0, -529*c + 5*y = -527*c - 44. Suppose -2 + 7/3*p**c - 1/3*p**4 - 1/3*p**3 + 1/3*p = 0. What is p?
-3, -1, 1, 2
Let m(h) be the thi