ve 0 + 2/9*l**3 - 2/9*l + g*l**4 - 2/9*l**2 = 0.
-1, 0, 1
Factor 2/19*o**3 - 2/19*o**5 + 0 + 2/19*o**4 + 0*o - 2/19*o**2.
-2*o**2*(o - 1)**2*(o + 1)/19
Let k(x) be the first derivative of -x**7/210 + x**6/60 - x**5/60 + 3*x**2/2 - 1. Let i(y) be the second derivative of k(y). Factor i(a).
-a**2*(a - 1)**2
Let w(y) be the third derivative of -y**6/540 + y**4/9 + y**3/6 - 6*y**2. Let i(a) be the first derivative of w(a). Determine s, given that i(s) = 0.
-2, 2
Let h be ((-2)/(-1))/(1/1). Let f(q) = h + 16*q**2 + 0 - 1 + 5*q. Let v(a) = 64*a**2 + 21*a + 4. Let o(z) = -22*f(z) + 6*v(z). What is w in o(w) = 0?
-1/4
Let i be (-7)/5*24/(-84). Let -4/5*o - 8/5*o**3 + 0 + i*o**4 + 2*o**2 = 0. What is o?
0, 1, 2
Let g(q) be the first derivative of q**6/660 - q**5/165 - q**4/132 + 2*q**3/33 + q**2 + 4. Let x(u) be the second derivative of g(u). Factor x(j).
2*(j - 2)*(j - 1)*(j + 1)/11
Let j(q) = q**2 + q + 2. Let n be j(0). Factor 0*f + 1/2*f**n - 1/2.
(f - 1)*(f + 1)/2
Let o(w) = -6*w**4 + 24*w**3 - 45*w**2 + 24*w + 3. Let b(a) = 3*a**4 - 12*a**3 + 22*a**2 - 12*a - 1. Let v(p) = -9*b(p) - 4*o(p). Factor v(u).
-3*(u - 1)**4
Let b = -46 - -50. Let l(k) be the second derivative of -1/2*k**2 + 2/3*k**3 - 17/48*k**b + 1/16*k**5 + 0 + k. Determine r, given that l(r) = 0.
2/5, 1, 2
Let h be 30/24 - (-1 - 0 - -2). Let s = -17/28 + 6/7. Solve 0*p + s*p**4 + 0 + 0*p**3 - h*p**2 = 0.
-1, 0, 1
Let t(d) = d**3 - d**2 + 1. Let w(h) = -4*h**3 + 3*h**2 + 3*h - 5. Let m(f) = -6*t(f) - 2*w(f). Factor m(a).
2*(a - 1)**2*(a + 2)
Let q(l) be the second derivative of -4*l**6/45 + l**5/30 + 9*l. Suppose q(y) = 0. Calculate y.
0, 1/4
Let n(c) = -c**2 - 3*c**3 + 2*c**2 - c + c**2. Let w(o) = o**3. Let l(x) = x**2 + 4*x + 3. Let v be l(-2). Let u(z) = v*n(z) - 2*w(z). Factor u(p).
p*(p - 1)**2
Let s(q) be the first derivative of -q**6/39 - 2*q**5/65 + q**4/13 + 4*q**3/39 - q**2/13 - 2*q/13 + 6. Factor s(x).
-2*(x - 1)**2*(x + 1)**3/13
Let m(t) be the first derivative of -2*t**3/15 - 6*t**2/5 - 18*t/5 + 50. Let m(o) = 0. Calculate o.
-3
Let n(t) = -t**3 + 3*t**2 + 4*t - 4. Let x be n(3). Suppose -4*u + 2*u = -x. What is m in 3*m**2 + 3/2 - 3*m**3 - 3/2*m**5 - 9/2*m**u + 9/2*m = 0?
-1, 1
Let s(n) = 3*n - 2. Let a be s(2). Let b(v) be the first derivative of 1/3*v**6 - 1 - 4/3*v**3 + 6/5*v**5 + v**a - 2*v - 3*v**2. Factor b(t).
2*(t - 1)*(t + 1)**4
Let m = 39 - 35. Let w(y) be the second derivative of -1/30*y**m + 0 - 2*y - 1/15*y**3 + 0*y**2. Suppose w(z) = 0. Calculate z.
-1, 0
Let j(l) be the third derivative of 1/330*l**6 - 6*l**2 - 1/1155*l**7 + 1/33*l**3 + 0*l - 1/66*l**4 + 0*l**5 + 0. Factor j(t).
-2*(t - 1)**3*(t + 1)/11
Let q(z) be the second derivative of -3*z**5/50 - z**4/30 + z**3/5 + z**2/5 + 11*z. Determine j, given that q(j) = 0.
-1, -1/3, 1
Let n(x) be the second derivative of 1/6*x**3 - 2*x + 0 + 0*x**2 - 1/4*x**5 + 1/3*x**4. Factor n(h).
-h*(h - 1)*(5*h + 1)
Let o be 4 - ((-48)/(-15))/1. Let a(i) be the first derivative of -o*i + 2 + 32/15*i**3 + i**2 + 9/10*i**4. What is n in a(n) = 0?
-1, 2/9
Let v(t) be the third derivative of t**6/80 + t**5/20 - 3*t**4/16 - 4*t**2. Determine g, given that v(g) = 0.
-3, 0, 1
Factor 95/3*m**3 - 5*m**4 + 15*m + 0 - 55*m**2.
-5*m*(m - 3)**2*(3*m - 1)/3
Find t, given that -7*t**2 + 7*t**3 - 23*t**3 + 5*t**3 + 10*t**3 = 0.
-7, 0
Factor -12 - 15*p + p - 4*p**2 - 2*p + 0*p.
-4*(p + 1)*(p + 3)
Let z(r) be the third derivative of -r**6/840 + r**5/84 - r**4/42 + 33*r**2. Factor z(i).
-i*(i - 4)*(i - 1)/7
Let x(s) be the first derivative of s**4/4 + s**3 + s**2 - 10. Find l such that x(l) = 0.
-2, -1, 0
Let l be ((-1)/2)/(468/(-8)). Let u = 461/819 + l. Let -2/7 + u*q - 2/7*q**2 = 0. Calculate q.
1
Let v(j) = 22*j**2. Let h be v(-3). Let i be (-2)/(-9) - (-253)/h. What is x in 3/2*x**3 - i*x**4 - 3/2*x + 0 + 3/2*x**2 = 0?
-1, 0, 1
Let q(m) be the second derivative of 5*m**7/42 + 2*m**6/3 + 3*m**5/2 + 5*m**4/3 + 5*m**3/6 + 19*m. Suppose q(w) = 0. Calculate w.
-1, 0
Suppose d - 3 = -3*k, -5*k - 2 + 5 = d. Let q = 1 + 1. Factor -4*r**4 - 4*r**d - q*r**5 + 2*r**3 + 0*r**3.
-2*r**3*(r + 1)**2
Let s(t) be the second derivative of t**2 - 4/3*t**3 + 0 + 2/5*t**5 - 1/6*t**4 + 4*t. Factor s(x).
2*(x - 1)*(x + 1)*(4*x - 1)
Let h(g) be the first derivative of 3*g**4/10 + 14*g**3/15 + g**2 + 2*g/5 - 3. Factor h(y).
2*(y + 1)**2*(3*y + 1)/5
What is l in 729/2 + 27/2*l**2 + 1/2*l**3 + 243/2*l = 0?
-9
Let v be 1 - (12/(-3) - -2). Factor -c**v - 3*c**2 + 2*c**3 + 2*c**2.
c**2*(c - 1)
Let h(r) be the first derivative of -r**6/540 - r**5/180 - 2*r**3/3 - 3. Let z(g) be the third derivative of h(g). Factor z(i).
-2*i*(i + 1)/3
Determine m so that 0 - 3/4*m**2 + 1/4*m**3 + 1/2*m = 0.
0, 1, 2
Let r = 0 - -6. Let t be ((-3)/(-2))/(r/8). Let x**4 + 4*x + x**t + 3*x**3 + 2*x**2 - 3*x = 0. Calculate x.
-1, 0
Let k(r) = -r + 8. Let q be k(6). Suppose -h + 6 = -3*c, -4 + 14 = -4*h - 5*c. What is g in -6/5*g**3 + h + 0*g - 4/5*g**q = 0?
-2/3, 0
Factor 5/3 - 4/3*z - 1/3*z**2.
-(z - 1)*(z + 5)/3
Let c(b) = 6*b**3 - 16*b - 6. Let h(n) = -n**2 - 1. Let m(o) = -2*c(o) - 4*h(o). Factor m(z).
-4*(z - 2)*(z + 1)*(3*z + 2)
Suppose 69*u = 18*u. Factor 2/9*q + u + 8/9*q**2.
2*q*(4*q + 1)/9
Let y(f) = -75*f**3 + 135*f**2 - 66*f + 12. Let v(n) = -n. Let p(l) = -6*v(l) - y(l). Find a, given that p(a) = 0.
2/5, 1
Let r = -5 + 5. Suppose v - 2 = -r*v. Factor -4 + 0*b**3 + 4*b**3 - 4*b + 6 - v*b**4.
-2*(b - 1)**3*(b + 1)
Let u(w) be the second derivative of -w**8/480 - w**7/140 + w**6/30 + w**5/15 - w**4/6 - w. Let m(v) be the third derivative of u(v). Factor m(l).
-2*(l - 1)*(l + 2)*(7*l + 2)
Let d(t) be the first derivative of -196*t**5/25 + 126*t**4/5 - 436*t**3/15 + 72*t**2/5 - 16*t/5 - 2. Solve d(n) = 0 for n.
2/7, 1
Let a(y) be the first derivative of -y**7/1960 + 3*y**5/280 + y**4/28 + 5*y**3/3 + 2. Let p(x) be the third derivative of a(x). Solve p(j) = 0 for j.
-1, 2
Let 7*z**4 + 40*z**3 + 10*z**2 - 2*z**2 + 43*z**4 = 0. Calculate z.
-2/5, 0
Let o(s) = 2 + 4*s + 2*s - s**2 + 0*s**2. Let n be o(6). Solve -4*q + q**n + 0*q**2 + 3*q = 0.
0, 1
Let s(v) be the second derivative of 4*v**4 + 14*v**3/3 + 2*v**2 + 6*v. Factor s(q).
4*(3*q + 1)*(4*q + 1)
Let c(d) be the third derivative of d**8/448 + d**7/70 + d**6/32 + d**5/40 + d**2. Find k such that c(k) = 0.
-2, -1, 0
Factor 10*m**4 - 5*m**5 + 7*m - 10*m**2 - 2*m + 0*m**5 + 0*m.
-5*m*(m - 1)**3*(m + 1)
Let i(v) be the first derivative of -7*v**4/6 - 116*v**3/9 - 128*v**2/3 - 64*v/3 - 9. Factor i(n).
-2*(n + 4)**2*(7*n + 2)/3
Let s(f) be the second derivative of 0 - 1/189*f**7 - 1/135*f**6 + 1/54*f**4 + 1/90*f**5 + 0*f**2 - 5*f + 0*f**3. Factor s(c).
-2*c**2*(c - 1)*(c + 1)**2/9
Suppose -2*d**4 - 7*d**3 + d**3 + 0*d**3 = 0. Calculate d.
-3, 0
Suppose 4*t = -5*x + 27, -x + 13 = -2*t + 16. Factor 0*k**2 + 0 + 1/4*k**4 + 1/4*k**t + 0*k.
k**3*(k + 1)/4
Let o(w) be the first derivative of w**7/105 - w**6/15 + w**5/6 - w**4/6 - w**2 + 4. Let i(u) be the second derivative of o(u). Factor i(d).
2*d*(d - 2)*(d - 1)**2
Let x = 61/114 - -5/38. Factor x*a**3 - 2/3*a + 0*a**2 - 1/3 + 1/3*a**4.
(a - 1)*(a + 1)**3/3
Let x(b) be the third derivative of 1/420*b**6 - 6*b**2 + 0*b - 1/42*b**4 + 0 + 1/210*b**5 + 0*b**3. What is p in x(p) = 0?
-2, 0, 1
Let l(x) be the first derivative of -2*x**5/35 + 15*x**4/14 - 50*x**3/7 + 125*x**2/7 - 1. Solve l(r) = 0.
0, 5
Let h be (27/(-6))/((-15)/18). Suppose 18/5*a + h + 3/5*a**2 = 0. What is a?
-3
Let c be (-2)/(37/3*-2). Let t = 65/111 + c. Determine s so that 0*s**2 + 1/3*s**3 - s - t = 0.
-1, 2
Let n(g) be the third derivative of g**5/120 - g**4/32 + g**3/24 + 4*g**2. Find m, given that n(m) = 0.
1/2, 1
Let b(j) = 10*j**3 - 3*j**2 + 3*j - 10. Let d be (-5 - 0)*2/5. Let c(l) = 0*l**2 + 1 + 0*l**2 - l**3. Let k(y) = d*b(y) - 18*c(y). Solve k(q) = 0 for q.
1
Let y = -899/18 - -50. Let m(u) be the second derivative of -y*u**4 + 2/3*u**2 + 0 + 3*u - 1/9*u**3. What is z in m(z) = 0?
-2, 1
Let q = 61 + -58. Factor -2/5*z**q - 2/5*z**2 + 2/5 + 2/5*z.
-2*(z - 1)*(z + 1)**2/5
Suppose -j + 10 = -2*z, -5*z = 21 - 1. Let s(x) be the first derivative of 1/2*x - j - 1/3*x**3 - 1/4*x**2. Factor s(n).
-(n + 1)*(2*n - 1)/2
Let j be (0 - 4) + 0 - -4. Let q(n) be the first derivative of 1/14*n**4 + j*n + 0*n**3 - 1/7*n**2