4 + 0*o**a + 3/5*o**5 + 6/5*o**3 - 1/5*o + 0.
o*(o - 1)**3*(3*o + 1)/5
Let y(v) = -v**3 - 2*v**2 + 9*v - 6. Let o(p) = -2*p**3 - 7*p**2 + 27*p - 18. Let b(u) = 2*o(u) - 7*y(u). Determine g, given that b(g) = 0.
-2, 1
Factor -4*z - z**3 - 4*z**3 + 8*z**3 + 12*z**2 - 54 - 5*z.
3*(z - 2)*(z + 3)**2
Suppose -f = -3*i + 26, 2*f = -i - 0*f + 11. Let a be (i/(-6) + 1)*-10. Determine t, given that 0 + a*t**3 - 12 - 20*t**2 + 28*t - t**3 = 0.
1, 3
Let h(a) be the third derivative of 0*a**3 + 1/90*a**5 + 0*a - 1/54*a**4 + 1/180*a**6 - 1/135*a**7 + 0 + 1/504*a**8 - 17*a**2. Determine x, given that h(x) = 0.
-2/3, 0, 1
Let f(g) = -g**2 - 22*g - 4. Let m be f(-19). Suppose -4*i + m = 21. Solve -i*q**3 + 11*q + 2*q**2 - 11*q = 0 for q.
0, 1/4
Let i(d) be the second derivative of d**6/1980 - d**4/33 - 5*d**3/6 + 30*d. Let p(k) be the second derivative of i(k). Factor p(z).
2*(z - 2)*(z + 2)/11
Let h(n) be the third derivative of -19*n**2 - 1/15*n**5 + 0*n - 8/9*n**3 + 1/3*n**4 + 1/180*n**6 + 0. Factor h(m).
2*(m - 2)**3/3
Let r(o) be the third derivative of 0 - 5/156*o**4 + 0*o - 24*o**2 - 2/13*o**3 - 1/390*o**5. Factor r(n).
-2*(n + 2)*(n + 3)/13
Let l(q) be the third derivative of q**5/108 + 13*q**4/108 + 11*q**3/18 - 56*q**2. What is m in l(m) = 0?
-3, -11/5
Let a = 1523/99 + -168/11. Let h(k) be the first derivative of -3 + 0*k + 0*k**2 + a*k**3. Factor h(c).
c**2/3
Factor -16 - 3*t**4 - 20*t**3 + 5*t**3 - 3836*t - 71*t**2 - 17*t**3 + 3778*t.
-(t + 1)**2*(t + 8)*(3*t + 2)
Let q(u) be the first derivative of u**6/42 - 4*u**5/35 + 3*u**4/28 + 62. Factor q(c).
c**3*(c - 3)*(c - 1)/7
Let r(w) be the third derivative of -w**5/300 + 11*w**4/120 - 4*w**3/5 + 42*w**2. Find y such that r(y) = 0.
3, 8
Let a be (-2)/3*(-28)/8 - 1. Let z = 11/6 - a. Factor z*g**3 + 0*g + 0 + 1/2*g**2.
g**2*(g + 1)/2
Let n(c) = 7*c**4 - 33*c**3 + 30*c**2 - 4*c. Let q(m) = -8*m**4 + 33*m**3 - 30*m**2 + 5*m. Let b(t) = -5*n(t) - 4*q(t). Factor b(v).
-3*v**2*(v - 10)*(v - 1)
Let k(l) = -7*l**2 - 5*l**2 + 0*l + l + 21*l**2 - 10*l**2. Let d = 28 + 7. Let j(w) = 5*w**2 - 5*w. Let b(y) = d*k(y) + 6*j(y). Factor b(a).
-5*a*(a - 1)
Let a(i) be the first derivative of -12/5*i**3 + 23 - 4/5*i**4 - 4/5*i - 12/5*i**2. Solve a(g) = 0.
-1, -1/4
Let n be 8 + (2 - (3 - -2)). Let u be n/6 + 3/(-18). Factor -2*c**2 + 0 - 2*c**3 - 2/3*c - u*c**4.
-2*c*(c + 1)**3/3
Solve 742*u**2 + 17*u - 747*u**2 + 8*u + 189 + 61 = 0.
-5, 10
Let b(c) be the second derivative of -c**5/35 - 2*c**4/21 + 2*c**3/21 + 4*c**2/7 + 7*c. Solve b(z) = 0.
-2, -1, 1
Let z be ((-8)/6 + 1)/((-100)/1500). Find u, given that -4/5*u + 2/5*u**4 + 8/5 - 1/5*u**z + u**3 - 2*u**2 = 0.
-2, -1, 1, 2
Let v be 16 + -19 + 6/5*(-45)/(-18). Suppose v*z + 3/4*z**5 - 3/2*z**4 + 0 - 3/4*z**3 + 3/2*z**2 = 0. What is z?
-1, 0, 1, 2
Let o(g) be the first derivative of -3*g**4/4 - 41*g**3/3 + 59*g**2/2 - 15*g - 42. Factor o(y).
-(y - 1)*(y + 15)*(3*y - 1)
Let q be ((-1)/24)/(420/(-1440)). Find y such that -1/7*y**2 + q*y + 6/7 = 0.
-2, 3
Find c such that -142*c**2 + 24 + 189*c**3 - 59*c**4 + 2*c + 91*c**3 + 28*c**4 - 66*c - 67*c**4 = 0.
-3/7, 2/7, 1, 2
Suppose 223*r = 259*r. Factor r + 1/4*c - 5/8*c**2.
-c*(5*c - 2)/8
Suppose -1 + 7 = c - g, -c + 14 = -3*g. Find z, given that -2*z + 91 - 7*z**2 - 4*z**c - 16*z**3 - 91 - 7*z**4 = 0.
-1, -2/7, 0
Let m(u) be the first derivative of u**6/12 - 17*u**4/8 + 6*u**3 - 5*u**2 - 410. Factor m(b).
b*(b - 2)**2*(b - 1)*(b + 5)/2
Suppose f = 2*y, f = 5*y - 1100 + 1091. Solve 1/9*a**y + 0*a + 0*a**2 + 0 + 1/9*a**5 - 2/9*a**4 = 0 for a.
0, 1
Let s(k) be the first derivative of 16*k - 4/3*k**3 + 11 - k**4 + 8*k**2. Factor s(c).
-4*(c - 2)*(c + 1)*(c + 2)
Suppose 4/3*a**3 + 1/3*a**4 + 0 + a**2 + 0*a = 0. What is a?
-3, -1, 0
Let j(p) be the first derivative of -4/3*p**2 - 34 + 2/9*p**3 - 10/3*p. Factor j(d).
2*(d - 5)*(d + 1)/3
Let k(y) be the first derivative of -7 - 18/5*y**5 + 7*y**4 + 14*y + 1/3*y**6 + 4/3*y**3 - 15*y**2. Solve k(p) = 0 for p.
-1, 1, 7
Let y(j) be the first derivative of -3/40*j**4 + 0*j**2 - 2/15*j**3 + 0*j + 1/50*j**5 + 25. Factor y(z).
z**2*(z - 4)*(z + 1)/10
Let i(l) be the first derivative of 144*l**4 - 160*l**3 - 46*l**2 - 4*l + 443. Factor i(s).
4*(s - 1)*(12*s + 1)**2
Factor -24*v**3 - 44*v**5 + 12 - 2*v**4 - 5*v**2 + 9*v - 3*v**2 + 48*v**5 + 11*v - 2*v**4.
4*(v - 3)*(v - 1)*(v + 1)**3
Let j(t) be the second derivative of t**8/3360 - t**7/420 + t**6/180 - t**4/2 + 2*t. Let b(q) be the third derivative of j(q). Let b(f) = 0. What is f?
0, 1, 2
Find f such that 20*f**2 - 45*f**2 + 13*f**2 - 104 - 44*f + 16*f**2 = 0.
-2, 13
Factor 3 - 1/2*s**2 + 5/2*s.
-(s - 6)*(s + 1)/2
Let y(n) be the third derivative of n**8/3360 - n**6/120 + n**5/30 + n**4/24 - 2*n**2. Let d(z) be the second derivative of y(z). Factor d(f).
2*(f - 1)**2*(f + 2)
Determine i so that -416/5 + 176/5*i - 2/5*i**3 - 2*i**2 = 0.
-13, 4
Suppose -143 = 12327*g - 12340*g. Let q(u) be the third derivative of -1/140*u**6 + g*u**2 + 2/21*u**3 + 0 + 0*u + 1/84*u**4 - 2/105*u**5. Factor q(k).
-2*(k + 1)**2*(3*k - 2)/7
Let l(h) be the second derivative of h**7/12600 + h**6/3600 - h**4/12 + 7*h. Let m(a) be the third derivative of l(a). Determine q so that m(q) = 0.
-1, 0
Let n = 1 + 29. Let o be 27/(2/(8/n)). Factor -3/5*x**3 + 0*x + 0 - o*x**4 + 3/5*x**2.
-3*x**2*(2*x + 1)*(3*x - 1)/5
Let c = -133 - -136. Factor c*r**2 + 13*r**3 + 2*r**4 + r**2 + 0*r**4 - 19*r**3.
2*r**2*(r - 2)*(r - 1)
Let m(f) = -2*f**2 + 5*f - 3. Let q be m(1). Find l, given that 0 + q*l - 50/3*l**2 - 2/3*l**4 + 20/3*l**3 = 0.
0, 5
Let b(l) = -120*l**3 + 230*l**2 + 2410*l + 4390. Let n(t) = 11*t**3 - 21*t**2 - 219*t - 399. Let p(u) = -6*b(u) - 65*n(u). What is i in p(i) = 0?
-3, 9
Let i(f) be the second derivative of 5*f**7/42 + 2*f**6/3 + f**5/2 - 5*f**4/3 - 5*f**3/2 + 19*f + 3. Find t such that i(t) = 0.
-3, -1, 0, 1
Suppose 4*c = 41*c. Let b(y) be the third derivative of 0 + 0*y - 12*y**2 + c*y**3 + 1/12*y**4 - 1/30*y**5. Factor b(h).
-2*h*(h - 1)
Let z = 12 - 5. Let m = 10 - z. Factor x**4 + 0 + x**3 + 0*x**3 + 2 - 2*x**4 + m*x**2 - 5*x.
-(x - 1)**3*(x + 2)
Find h, given that 2673*h + 2*h**2 - 56 - h**2 - 2618*h = 0.
-56, 1
Let m = 284/85 - 33/17. Let o(g) be the first derivative of m*g**2 + 2/3*g**3 + 1/10*g**4 + 6/5*g - 11. Let o(s) = 0. What is s?
-3, -1
Let p(g) be the second derivative of -14*g - 16/21*g**3 - 1/21*g**4 - 32/7*g**2 + 0. Factor p(j).
-4*(j + 4)**2/7
Let j(o) be the first derivative of 2*o**5/5 - 7*o**4/2 + 10*o**3/3 + 7*o**2 - 12*o + 75. Factor j(i).
2*(i - 6)*(i - 1)**2*(i + 1)
Let s(q) be the third derivative of q**8/6720 + q**7/420 + q**6/80 + q**5/60 - 6*q**2. Let u(j) be the third derivative of s(j). Let u(g) = 0. Calculate g.
-3, -1
Suppose 22/5*c - 2/5*c**2 - 4 = 0. Calculate c.
1, 10
Determine q, given that -16/7*q + 6/7*q**2 + 40/21 - 2/21*q**3 = 0.
2, 5
Let z(u) be the first derivative of -2*u**5/5 - 23*u**4/18 - 38*u**3/27 - 5*u**2/9 - 686. Determine j, given that z(j) = 0.
-1, -5/9, 0
Find n such that -11*n + 0*n**2 + 7*n**2 - 27 - 43 - 2*n**2 - 14*n = 0.
-2, 7
Let m(q) be the first derivative of q**6/18 - q**4/4 - 2*q**3/9 + 88. Solve m(u) = 0.
-1, 0, 2
Let o be (24 - 29)/(-2*1/(-44)). Let i be o/(-140) - (-4)/(-14). Factor 0 + 0*j + 1/2*j**5 + 3/2*j**3 - i*j**2 - 3/2*j**4.
j**2*(j - 1)**3/2
Factor 3*y**4 + 75*y**3 - 2*y**4 + 40*y**2 + 0*y**4 - 88*y**3.
y**2*(y - 8)*(y - 5)
Factor 0*a**2 + 1/8*a - 1/8*a**3 + 0.
-a*(a - 1)*(a + 1)/8
Let h(q) = -q**3 - 13*q**2 + q - 1. Let c be h(-13). Let s = c + 14. Find x, given that s*x**2 + x**2 + 2*x**3 - 3*x**3 + 2*x - 2*x**2 = 0.
-2, 0, 1
Let d(w) be the second derivative of -w**7/10080 + w**6/2880 - 25*w**4/12 - 28*w. Let f(l) be the third derivative of d(l). Suppose f(r) = 0. Calculate r.
0, 1
Factor 1/6*c**2 + 34/3*c + 578/3.
(c + 34)**2/6
Let h(b) be the second derivative of -1/30*b**5 - 2/3*b**3 - 7/18*b**4 + 0 - 25*b + 0*b**2. Let h(r) = 0. What is r?
-6, -1, 0
Let k(v) = 5*v**3 - 3*v + 6*v**3 + 2*v - 4*v**3. Let i be k(1). Factor 12 + 3*z**4 + 5*z + 0*z**4 + 13*z - 6*z - 9*z**2 - i*z**3.
3*(z - 2)**2*(z + 1)**2
Suppose -x - o - 4*o + 29 = 0, 3*x + 2*o = 22. Suppose -f + 3 = 2*z, x*f + 23 + 1 = 4*z. Factor -r**3 + 0*r - r**z - 2*r**2 + 4*r.
-2*r*(r - 1)*(r + 2)
Factor 10/3*m**2 + 4/3*m