derivative of -1/90*i**5 - 1/9*i**4 - 4/9*i**3 + s*i**2 + 0*i + 0. Factor j(v).
-2*(v + 2)**2/3
Find v, given that -2 + 12*v**2 + 2 - 13*v**3 + 10*v**3 = 0.
0, 4
Let b(q) be the second derivative of q**6/15 + q**5/10 - q**4/2 - 5*q**3/3 - 2*q**2 + 8*q. Factor b(g).
2*(g - 2)*(g + 1)**3
Suppose -v + 4 = 3*v + 3*a, -5*v + 36 = -4*a. Let b(x) be the second derivative of x**2 + 1/2*x**3 + 1/12*x**v + 0 + x. Let b(z) = 0. What is z?
-2, -1
Let i be 2/(-3) - 48/(-72). Let h(t) be the first derivative of i*t - 2/3*t**3 + 2*t**2 + 2. Factor h(n).
-2*n*(n - 2)
Suppose -2*a - 1 = -0*a - o, 4 = 5*a + 4*o. Factor a - 2/3*s**2 + 0*s.
-2*s**2/3
Let m = 57/11 - 103/22. Factor 3/2*r + 0 + m*r**2.
r*(r + 3)/2
Let n(t) be the first derivative of -t**4/28 - 2*t**3/7 - 9*t**2/14 - 34. Factor n(b).
-b*(b + 3)**2/7
Let m = 3 - 1. Suppose -5*h + 17 = 2. Factor -5/2*a - 1/2*a**h - 2*a**m - 1.
-(a + 1)**2*(a + 2)/2
Let f(h) be the third derivative of 1/45*h**3 - 5*h**2 + 1/450*h**5 + 0*h + 0 + 1/90*h**4. Factor f(k).
2*(k + 1)**2/15
Suppose 5*d - m - 31 = -2*m, 0 = -3*d - 5*m + 23. Let a(v) be the second derivative of 0 + 0*v**5 - 1/120*v**d + 1/48*v**4 + 0*v**3 - 3*v + 0*v**2. Factor a(t).
-t**2*(t - 1)*(t + 1)/4
Let j be 3/(-2*3/(-8)). Factor -a**2 + a + a - j*a + 3*a.
-a*(a - 1)
Factor -64*x**4 - 60*x**2 + 44*x**3 + 49*x**3 - 39*x**3 - 1 + 13*x + 58*x**3.
-(x - 1)*(4*x - 1)**3
Let h(k) be the second derivative of k**4 + 10*k**3/3 - 4*k**2 + 10*k. Factor h(r).
4*(r + 2)*(3*r - 1)
Suppose -3*i = 3*p - 23 + 11, -5*p + 14 = 2*i. Let h**4 + 5/2*h + 7/2*h**3 + 1/2 + 9/2*h**i = 0. What is h?
-1, -1/2
Suppose k - x + 1 = 0, x - 7 = k - 2*x. Suppose -4*u = -0*n - 2*n - k, 2*n + u - 8 = 0. Solve -w**2 - 1/3*w**n + 4/3 + 0*w = 0.
-2, 1
Let c(l) be the third derivative of l**6/40 + l**5/20 + 9*l**2. Factor c(p).
3*p**2*(p + 1)
Let n(b) = -5*b**2 - 5*b - 12. Let w(z) = 9*z**2 + 11*z + 23. Let x(k) = 7*n(k) + 4*w(k). Factor x(q).
(q + 1)*(q + 8)
Let h(m) be the second derivative of -14*m**7/15 + 154*m**6/75 + 17*m**5/25 - 73*m**4/15 + 64*m**3/15 - 8*m**2/5 - 9*m. Suppose h(f) = 0. What is f?
-1, 2/7, 1
Let c be (1 + 3/(-1))*1. Let v = c - -2. Let v*x**2 + 2*x**4 + x**3 - x**3 - 2*x**2 = 0. Calculate x.
-1, 0, 1
Let r(m) be the first derivative of -m**3/7 + 3*m**2/14 + 6*m/7 - 8. Factor r(q).
-3*(q - 2)*(q + 1)/7
Suppose 20 = z + 4*z. Let l(s) be the third derivative of -1/270*s**5 + 0 - 4/27*s**3 + s**2 + 1/27*s**z + 0*s. Let l(c) = 0. Calculate c.
2
Let g be 36 - (-1 - (-1 - -2)). Factor -1 + 5 + g*n**3 + 18*n + 2*n**4 - 20*n**3 + 28*n**2 + 2*n**4.
2*(n + 1)**2*(n + 2)*(2*n + 1)
Suppose -12 = -2*d - 2*d. Factor c**2 + 2 + 5*c**2 + 3*c**3 + 6*c - c**d.
2*(c + 1)**3
Let s = 22 - 7. Let i = s - 13. Factor -5/4*n**i - 1/2*n + 1/4*n**5 + 0 - 3/4*n**3 + 1/4*n**4.
n*(n - 2)*(n + 1)**3/4
Suppose y = w + 1, -28 = -3*y - 0*w - 2*w. Let m = 11 - y. Let 1/3*p**m + 0*p + 0 + 2/3*p**3 + p**4 + 0*p**2 = 0. Calculate p.
-2, -1, 0
Let g(t) be the second derivative of 2*t**6/75 + 3*t**5/50 + t**4/30 - 24*t. Find u, given that g(u) = 0.
-1, -1/2, 0
Let j(k) = -3*k**2. Let z(y) = -5*y**2. Let p(f) = -5*j(f) + 2*z(f). Solve p(a) = 0 for a.
0
Factor -48/17*g**2 - 30/17*g + 32/17*g**3 - 4/17.
2*(g - 2)*(4*g + 1)**2/17
Let s be 2/(-8) + 598/2360. Let c = s - -2947/885. Find z such that -c*z**4 - 2*z**5 + 0 + 0*z - 2/3*z**3 + 2/3*z**2 = 0.
-1, 0, 1/3
Suppose -z = -2*p - 4, -2*z - 3*z + 20 = -p. Let h(k) be the third derivative of 0*k**4 + p - 1/525*k**7 + 0*k**6 + 2*k**2 + 0*k + 0*k**3 + 0*k**5. Factor h(t).
-2*t**4/5
Let p(u) = 63*u**4 + 171*u**3 + 118*u**2 - 8*u - 18. Let h(q) = 21*q**4 + 57*q**3 + 39*q**2 - 3*q - 6. Let m(r) = -17*h(r) + 6*p(r). Factor m(j).
3*(j + 1)**3*(7*j - 2)
Let l(g) = 10*g**2 + 5. Let c(n) = n**2 + 1. Let d(k) = 18*c(k) - 2*l(k). Let d(z) = 0. Calculate z.
-2, 2
Solve 0 + 2/9*k**3 + 8/9*k - 8/9*k**2 = 0 for k.
0, 2
Let h(u) be the first derivative of -u**3/3 - 2*u**2 - 3*u + 8. Factor h(w).
-(w + 1)*(w + 3)
Let b(o) be the second derivative of -o**4/42 - o**3/21 + 3*o. Factor b(i).
-2*i*(i + 1)/7
Let q(r) be the first derivative of 2*r**6/3 - 4*r**5/5 - 3*r**4 + 4*r**3/3 + 4*r**2 - 5. Factor q(w).
4*w*(w - 2)*(w - 1)*(w + 1)**2
Let v(k) be the second derivative of 3/2*k**3 + 0 + 3*k**2 + 1/4*k**4 - 2*k. What is f in v(f) = 0?
-2, -1
Let r(y) be the third derivative of -y**5/300 + y**4/24 - 2*y**3/15 + 2*y**2 + 1. What is b in r(b) = 0?
1, 4
Factor -h**2 - 3*h**3 - 3*h + 3 - 2*h**2 + 6*h + 0.
-3*(h - 1)*(h + 1)**2
Let z = -74 - -78. Let j(p) be the second derivative of 0*p**3 + 1/6*p**z + 0 - 2/3*p**6 - 2*p + 0*p**2 + 1/10*p**5 + 8/21*p**7. What is h in j(h) = 0?
-1/4, 0, 1/2, 1
Solve -4*x**2 - 4*x + 3*x**2 + 3*x**2 = 0.
0, 2
Let w be (3 - (-9)/(-3)) + 16/12. Let p(k) be the first derivative of 5 - 10/9*k**3 + 2/3*k - w*k**2. Find y, given that p(y) = 0.
-1, 1/5
Let s = 8 - 2. Factor -3 + s*l**4 + 2 - 2*l**3 - 18*l**2 + l + 17*l - 3.
2*(l - 1)**2*(l + 2)*(3*l - 1)
Suppose 4*v = 35 - 7. Let k(g) be the second derivative of -g - 2/15*g**6 + 0*g**2 + 0 + 0*g**5 - 1/21*g**v + 1/3*g**3 + 1/3*g**4. Factor k(w).
-2*w*(w - 1)*(w + 1)**3
Let c(o) be the first derivative of 2*o**5/25 - 2*o**4/5 + 4*o**3/5 - 4*o**2/5 + 2*o/5 - 5. Suppose c(t) = 0. Calculate t.
1
Let j(c) = 5*c**2 + 2*c - 3. Let g(m) be the first derivative of 14*m**3/3 + 3*m**2 - 8*m - 1. Let w(p) = 3*g(p) - 8*j(p). Factor w(a).
2*a*(a + 1)
Let -2/3*u - 4/3*u**2 + 2/3*u**3 + 4/3 = 0. Calculate u.
-1, 1, 2
Let o be -5 - 1/(4/(-28)). Let 1/2*s**4 - 1/2*s + 1 - 3/2*s**o + 1/2*s**3 = 0. What is s?
-2, -1, 1
Let v(q) be the second derivative of 1/3*q**3 + 0*q**2 + 0 - 1/12*q**4 + 3*q. Factor v(b).
-b*(b - 2)
Let h(s) = s + 1. Let i(n) = -2*n**2 + n. Let w be i(1). Let k be h(w). Factor -2/3 + k*p + 2/3*p**2.
2*(p - 1)*(p + 1)/3
Suppose -3*h + 4*h - 7 = 0. Let p be (-3)/(-2)*8/6. Determine d so that -d**4 - 20*d - 6 - 9*d**p - h*d**3 - 9*d**2 - 2 = 0.
-2, -1
Let q(c) be the second derivative of -c**7/1050 + c**5/300 - 7*c**2/2 - 8*c. Let j(k) be the first derivative of q(k). What is p in j(p) = 0?
-1, 0, 1
Suppose 1/3*z**2 - 5/3 - 4/3*z = 0. Calculate z.
-1, 5
Suppose 10/3*z**2 + 5/3*z**3 + 5/3*z + 0 = 0. What is z?
-1, 0
Let w(p) be the first derivative of 1/3*p**6 + 0*p**2 - 2/5*p**5 + 2/3*p**3 + 3 + 0*p - 1/2*p**4. Factor w(i).
2*i**2*(i - 1)**2*(i + 1)
Suppose -6 = -3*x + 9. Suppose -x*o = -5*q, 2 - 6 = -2*o. Factor 0*m**q + 2/3*m**3 + 0*m + 0.
2*m**3/3
Let m(o) = 7*o**2 - 4. Let x(y) = -44 + 76*y**2 - 80*y + 80*y. Let n(k) = -32*m(k) + 3*x(k). Solve n(t) = 0.
-1, 1
Factor -5*z**3 - 2*z**4 + 13*z**3 + 2*z**5 - 12*z**3.
2*z**3*(z - 2)*(z + 1)
Let z(f) = f**2 - 1. Let h be z(2). Let u be (-47)/(-141) - ((-10)/(-6))/(-5). Factor -1/3*k**4 + 0*k**2 + 0*k - u*k**h + 0.
-k**3*(k + 2)/3
Let k(i) be the first derivative of i**6/12 + i**5/20 - 7*i**4/16 - 7*i**3/12 + i**2/8 + i/2 + 14. Factor k(u).
(u - 2)*(u + 1)**3*(2*u - 1)/4
Let h(q) be the second derivative of q**4/6 + 5*q**3/3 + 6*q**2 - 2*q. Let h(j) = 0. Calculate j.
-3, -2
Let x be (1/2)/(2/60). Let q be ((-18)/x)/(21/(-20)). Factor -q*j**4 - 4/7*j**2 + 0 + 2/7*j - 2*j**3.
-2*j*(j + 1)**2*(4*j - 1)/7
Let z(o) be the third derivative of -1/735*o**7 + 0 + 0*o**5 + o**2 + 0*o + 1/21*o**3 + 1/210*o**6 - 1/42*o**4. Solve z(x) = 0 for x.
-1, 1
Let i(g) be the third derivative of g**9/7560 + g**8/2100 + g**7/2100 + 2*g**3/3 + g**2. Let z(y) be the first derivative of i(y). Solve z(k) = 0 for k.
-1, 0
Let t(a) = a**2 + 10*a + 11. Let j be t(-9). Solve d**2 + 0*d**2 + 0*d**j = 0 for d.
0
Suppose 3*a - 2*a = 8. Factor -4 + 2*g + 9*g**3 + 0*g - 7*g**3 - a*g.
2*(g - 2)*(g + 1)**2
Let v = -1 + -4. Let c = v + 5. Let -1/2*l**3 + 1/2*l**5 - 1/2*l**2 + 0*l + 1/2*l**4 + c = 0. Calculate l.
-1, 0, 1
Find h, given that 2*h**3 - 4/3*h**2 + 0*h + 0 - 2/3*h**4 = 0.
0, 1, 2
Let w = -4 - -11. Suppose 0 = -2*j + o + 8, -5*j - o + 6 = -w. Factor -1/5*u**5 - 6/5*u**j + 4/5*u**2 + 0 + 4/5*u**4 - 1/5*u.
-u*(u - 1)**4/5
Let q(m) = -m**4 + 3*m**2 + m**2 - 3 + 3*m**4 + 6*m**3 + 0. Let w(h) = 2*h**4 + 6*h**3 + 4*h**2 - 2. Let n(l) = 4*q(l) - 6*w(l). Factor n(g).
-4*g**2*(g + 1)*(g + 2)
Let x(a) = a**3 - 6*a**2 - 4*a - 9. Let m be x(7). Suppose 2*z - 5*z + m = 0. Suppose -50/3*i**3 + 10*i**z + 40/3*i*