2/9*l**f + 10/9*l - 10/9*l**4 + 20/9*l**3 = 0. Calculate l.
1
Factor -8/3*i - 2/3*i**2 - 2.
-2*(i + 1)*(i + 3)/3
Let d(b) be the first derivative of 0*b - 1/30*b**5 - b**2 - 1/3*b**4 - 4/3*b**3 - 1. Let q(h) be the second derivative of d(h). Factor q(z).
-2*(z + 2)**2
Let m(o) be the second derivative of -o**7/63 + 4*o**6/45 - o**5/5 + 2*o**4/9 - o**3/9 - 3*o. Factor m(n).
-2*n*(n - 1)**4/3
Let j(t) = -35*t**3 + 90*t + 70. Let a(b) = 5*b**3 - 13*b - 10. Let k(r) = -15*a(r) - 2*j(r). Suppose k(l) = 0. Calculate l.
-1, 2
Let t(d) be the third derivative of -d**6/480 - d**5/160 + d**3/48 + 2*d**2. Factor t(r).
-(r + 1)**2*(2*r - 1)/8
Let i be -4*(0 - 4 - 0). Let w = i - 110/7. Factor 2/7*m - 2/7*m**3 + w - 2/7*m**2.
-2*(m - 1)*(m + 1)**2/7
Let l(z) be the first derivative of z**7/70 - z**6/40 - 5*z**2/2 - 5. Let n(u) be the second derivative of l(u). Let n(b) = 0. Calculate b.
0, 1
Let l = -3 - 7. Let j(s) = s**2 + 9*s - 10. Let c be j(l). Determine m, given that 0 + c*m + 2/5*m**2 - 2/5*m**3 = 0.
0, 1
Suppose 0 = 3*z - z + 12. Let t(a) = -7*a**2 - 3*a + 4. Let r(j) = -7*j**2 - 4*j + 3. Let x(c) = z*r(c) + 5*t(c). What is v in x(v) = 0?
-1, -2/7
Let y(q) be the second derivative of 14/9*q**3 + 7/6*q**5 + 2/3*q**2 + 5/18*q**6 + 23/12*q**4 + 0 + q. Factor y(l).
(l + 1)**2*(5*l + 2)**2/3
Let s be (52/(-28) - 1) + 4. Suppose 48/7*x**2 + 6*x**3 + s*x - 14*x**4 + 0 = 0. What is x?
-2/7, 0, 1
Factor 0 + 1/3*a**2 - 7/3*a - 1/3*a**4 + 7/3*a**3.
-a*(a - 7)*(a - 1)*(a + 1)/3
Let s(n) be the third derivative of -2*n**7/525 + 17*n**6/600 - 4*n**5/75 + n**4/40 - 25*n**2. Factor s(j).
-j*(j - 3)*(j - 1)*(4*j - 1)/5
Let z(p) = 5*p**2 - 4*p - 8. Let n = -3 - -7. Let a(f) = 14*f**2 - 11*f - 23. Let m(q) = n*a(q) - 11*z(q). Factor m(x).
(x - 2)*(x + 2)
Let y(m) be the second derivative of m**5/60 - m**4/18 + m**3/18 - 11*m. Find w such that y(w) = 0.
0, 1
Let n(x) be the first derivative of 5*x**6/3 + 2*x**5/5 - 8*x**4/5 + 8*x**3/15 + 1. Find f, given that n(f) = 0.
-1, 0, 2/5
Let q(w) be the third derivative of w**6/660 + w**5/330 - w**4/132 - w**3/33 + 3*w**2. Factor q(h).
2*(h - 1)*(h + 1)**2/11
Let i(o) be the first derivative of -17*o**3/3 - 25*o**2/2 - 54*o - 3. Let h(q) = 6*q**2 + 8*q + 18. Let j(b) = 11*h(b) + 4*i(b). Find g such that j(g) = 0.
-3
Let m(g) be the second derivative of g**6/15 - 3*g**5/5 + 3*g**4/2 + 18*g. Factor m(i).
2*i**2*(i - 3)**2
Let k(w) = 2*w**4 + 4*w**3 + 4*w**2 - 2*w - 2. Let j(m) = 6*m**4 + 12*m**3 + 13*m**2 - 7*m - 7. Let b = -2 - 0. Let z(y) = b*j(y) + 7*k(y). Solve z(d) = 0.
-1, 0
Let w be ((-40)/(-240))/((-2)/(-3)). Let -w*v**4 + 2*v**3 + 1/2*v**2 - 1/4 - v - v**5 = 0. Calculate v.
-1, -1/4, 1
Let o = 2 + -2. Let p(y) be the third derivative of -1/180*y**5 + 0*y - 2*y**2 + 0 + 1/18*y**3 + o*y**4. Factor p(s).
-(s - 1)*(s + 1)/3
Let b(y) be the third derivative of -4/21*y**3 + 0 - 2*y**2 - 1/210*y**5 + 0*y + 1/21*y**4. Find n, given that b(n) = 0.
2
Let z be (-4)/14*(-28)/96. Let o(a) be the second derivative of 0 - a + 0*a**2 + 3/40*a**5 + 1/24*a**4 - 1/12*a**6 - z*a**3 + 1/42*a**7. What is j in o(j) = 0?
-1/2, 0, 1
Let j be 27/9 - 514/(-14). Let d = 40 - j. Let -d*f**2 + 0 + 4/7*f = 0. Calculate f.
0, 2
Let l be (-3 + (-52)/(-24))/((-30)/24). Find n such that -8/3 - 8/3*n - l*n**2 = 0.
-2
Let k = -6 - -6. Let a(b) be the third derivative of -1/15*b**3 - 1/30*b**4 + 3*b**2 + 0*b + k - 1/150*b**5. Factor a(q).
-2*(q + 1)**2/5
Suppose 0 = -4*k - c + 14, 2*c + 10 - 5 = 3*k. Determine z, given that 0 - 9/2*z**k + 0*z + z**2 = 0.
0, 2/9
Let n(k) = 4 + 5*k**2 - 1 - 2*k**3 + 3*k**3. Let m be n(-5). Let -1 - m + 5*q**2 - 8*q + 0*q = 0. What is q?
-2/5, 2
Let b be -5*(1 + 1)/(-2). Let o(c) be the second derivative of 2*c + 0*c**2 - 1/40*c**b + 1/60*c**6 - 1/24*c**4 + 0 + 1/12*c**3. Solve o(f) = 0.
-1, 0, 1
Let k(l) be the first derivative of 2*l**3 - 3/2*l**4 + 0*l + 2/5*l**5 - l**2 + 2. Find q, given that k(q) = 0.
0, 1
Let r(v) = -5*v - 2. Let i be r(10). Let h be i/(-12) - 2/6. Factor -1/4*y**5 + 0*y**3 + 0*y + 0 + 1/4*y**h + 0*y**2.
-y**4*(y - 1)/4
Let j(g) be the second derivative of -1/6*g**2 + 0 + 1/18*g**3 + 1/36*g**4 - 1/60*g**5 + 3*g. Factor j(k).
-(k - 1)**2*(k + 1)/3
What is t in -2/5*t**2 + 0*t + 0 - 4/5*t**3 - 2/5*t**4 = 0?
-1, 0
Let y be (1 - -1)/((-5)/(-10)). Suppose -25 = -y*g - g. Suppose 4/9 + 4/9*o**4 + 20/9*o**3 - 10/9*o - 8/9*o**2 - 10/9*o**g = 0. Calculate o.
-1, 2/5, 1
Let b(z) = z**3 + z**2 - z - 1. Let j be b(-1). Let n = j - -2. Factor -2*a**2 + 2/3*a**3 - 2/3 + n*a.
2*(a - 1)**3/3
Let b(g) be the third derivative of 5*g**8/28 + 13*g**7/42 - g**5/12 + 44*g**2 + 2. Suppose b(u) = 0. What is u?
-1, -1/3, 0, 1/4
Suppose -2*h + 10 - 2 = 0. Determine r, given that -47*r + 0*r**3 + 8*r**2 + 51*r + h*r**3 = 0.
-1, 0
Let p be 6 + (1 - 2)*2. Let x be 1/2 + p/(-8). Determine w, given that -1/3*w**3 - 2/3*w**2 + x - 1/3*w = 0.
-1, 0
Let y = 15 - 13. Let s(x) be the second derivative of 2*x + 0 - 1/20*x**5 + 0*x**y + 1/6*x**4 - 1/6*x**3. Suppose s(i) = 0. What is i?
0, 1
Let d(m) be the second derivative of -m**8/2800 + m**7/2100 + m**6/600 - m**5/300 - 2*m**3/3 + m. Let z(l) be the second derivative of d(l). Factor z(r).
-r*(r - 1)*(r + 1)*(3*r - 2)/5
Let a be (-143)/(-165) - 2/10*1. Factor 0 + 1/3*w + a*w**2 + 1/3*w**3.
w*(w + 1)**2/3
Factor -3*m**4 - 5*m**2 + 4*m**5 - 12*m**3 - 15*m**2 + 7*m**4 - 8*m.
4*m*(m - 2)*(m + 1)**3
Let c(l) = 10*l + 60. Let i be c(-6). Let p(w) be the second derivative of -3/20*w**5 - 2*w + i - 1/4*w**4 + 1/2*w**3 + 3/2*w**2. Suppose p(a) = 0. What is a?
-1, 1
Let s(j) be the first derivative of j**6/1440 - j**5/480 - 2*j**3/3 - 3. Let k(h) be the third derivative of s(h). Factor k(r).
r*(r - 1)/4
Let m(n) be the first derivative of 2/9*n + 6 + 2/9*n**2 + 2/27*n**3. Find t, given that m(t) = 0.
-1
Factor 0 + 1/4*z**3 + 4*z - 2*z**2.
z*(z - 4)**2/4
Let p(s) be the first derivative of -s**5/15 - s**4/4 - s**3/3 + s**2/2 - 3. Let b(o) be the second derivative of p(o). What is t in b(t) = 0?
-1, -1/2
Let j(f) = 3*f + 1. Let t be j(-1). Let l be 9/2 + t/4. What is s in -l - 2*s - 6*s - 7*s**3 + 10*s**2 + 9*s**2 = 0?
-2/7, 1, 2
Suppose q = -q + 42. Suppose 0 = 3*l - 5*l + 5*v + 21, -3*l + 4*v = -q. Factor 6*i + i**3 + 6*i**2 + i**3 - 1 + l.
2*(i + 1)**3
Let m be 4/16*(-10)/(-5). Let -2 - m*g**2 + 2*g = 0. What is g?
2
Factor -2/7*l**2 + 0*l + 4/7*l**4 + 0 + 2/7*l**3.
2*l**2*(l + 1)*(2*l - 1)/7
Suppose o + 0 = 4. Let z be o/3 - (-3)/(-9). Factor -3*a**2 + z - 1 - 2*a.
-a*(3*a + 2)
Suppose 0 = -2*k + 4. Let g be k*(-1 + (-36)/(-2)). Factor -2*m**5 - 2*m**5 + 1 - 15*m**4 + 14*m**3 - g*m**3 - 10*m**2.
-(m + 1)**4*(4*m - 1)
Suppose -5 + 3 = -p. Let -3*r**p + 0*r - 3*r + 0*r = 0. What is r?
-1, 0
Let f(j) = j**3 + 12*j**2 + 14*j - 60. Let b be f(-10). Factor b + 1/6*o**3 + o**2 + 3/2*o.
o*(o + 3)**2/6
Let u be ((-738)/15)/(7/(-10)). Let t = u - 70. Factor 4/7*f**2 + t*f + 0 + 2/7*f**3.
2*f*(f + 1)**2/7
Let n(o) be the first derivative of 6*o**2 + 3/5*o**5 + 4 + 3*o + 3*o**4 + 6*o**3. Find z, given that n(z) = 0.
-1
Let b be ((-4)/18)/((-70)/105). What is t in -1/3*t**5 + 0*t**2 + 2/3*t**4 + 0*t + 0 - b*t**3 = 0?
0, 1
Suppose -7*x = -24 + 3. Suppose x*u + 8 = 7*u. Solve -10/3*i**3 + 2/3 + 10/3*i - 8/3*i**4 + 2*i**u = 0.
-1, -1/4, 1
Suppose -4*w + 20 = 0, -4*x + w + 11 = -0*w. Let g = 6 - x. Determine z so that -3*z**2 + z**4 - 2*z**4 - g*z**3 - z**3 - z = 0.
-1, 0
Let w(m) = 6*m**2 + 5*m - 4. Let z be w(3). Let -8 - 112*g - 119*g**4 - z*g**5 + 16*g**5 + 184*g**2 + 24 + 80*g**3 = 0. What is g?
-2, 2/7, 1
Let s(h) = -9*h**3 - 24*h**2 - 57*h + 24. Let v(q) = -q**3 - 3*q**2 - 7*q + 3. Let r(l) = -4*s(l) + 33*v(l). Factor r(m).
3*(m - 1)**2*(m + 1)
Let 0 - 2/3*m**4 + 8/5*m + 2/5*m**5 + 2/3*m**2 - 2*m**3 = 0. Calculate m.
-4/3, -1, 0, 1, 3
Let k(j) = 5*j**5 - 14*j**4 - 31*j**3 - 43*j**2 - 25*j - 1. Let t(d) = 3*d**5 - 7*d**4 - 15*d**3 - 21*d**2 - 12*d. Let u(r) = -4*k(r) + 7*t(r). Factor u(b).
(b + 1)**3*(b + 2)**2
Let n = 240 + -238. Let -2/7*a**4 + 12/7*a**3 + 0 - 24/7*a**n + 16/7*a = 0. What is a?
0, 2
Let n(i) be the third derivative of 0 + 4/3*i**3 + 0*i**5 - 1/30*i**6 - 7*i**2 + 1/2*i**4 + 0*i. Factor n(l).
-4*(l - 2)*(l + 1)**2
Let x be (-8)/6*(-63)/2. Let g be 2/7 - (-114)/x. Let 2/5*z**2 + 4/5*z -