 1)**2/2
Let j be (-1 - 19) + 6/(-3). Let s be 4/(-10) - j/30. Find m such that 1/3*m**3 - 1/3*m**5 - s*m**2 + 1/3*m**4 + 0*m + 0 = 0.
-1, 0, 1
Let j(w) be the second derivative of w**7/168 - w**6/40 + 3*w**5/80 - w**4/48 + w**2/2 - 6*w. Let p(q) be the first derivative of j(q). Factor p(d).
d*(d - 1)**2*(5*d - 2)/4
Let q(f) be the second derivative of f**7/378 - f**5/180 - 30*f. Factor q(x).
x**3*(x - 1)*(x + 1)/9
Let j = -9 + 11. Find y such that 8*y**3 - j*y**3 - 2*y**3 + 2*y**4 = 0.
-2, 0
Factor 0 - 2/5*m**2 + 2/5*m**4 - 4/5*m**3 + 4/5*m.
2*m*(m - 2)*(m - 1)*(m + 1)/5
Let x be 6 - 266/49 - (-8)/(-14). Solve 0 - 3/2*o**3 - o**2 - 1/2*o**4 + x*o = 0 for o.
-2, -1, 0
Let w(v) be the third derivative of 0*v**3 + 0*v + v**2 - 1/30*v**5 - 1/12*v**4 + 0. Factor w(h).
-2*h*(h + 1)
Let n(w) be the third derivative of w**8/11200 - w**6/1200 + w**4/12 - 2*w**2. Let s(t) be the second derivative of n(t). Factor s(d).
3*d*(d - 1)*(d + 1)/5
What is h in -8*h - h**3 - 3*h**2 + 6*h**2 + 6*h = 0?
0, 1, 2
Let o(x) be the second derivative of 3/10*x**5 + 0 + 1/3*x**3 + 0*x**2 - 1/2*x**4 + 2*x - 1/15*x**6. Factor o(i).
-2*i*(i - 1)**3
Suppose -n = -25 + 3. What is a in n*a + 2*a**2 - a - 5*a + 32 = 0?
-4
Factor -1/4 - 1/2*d - 1/4*d**2.
-(d + 1)**2/4
Factor -19*u**4 + 11*u**2 - 12 + 22*u**4 - 2*u**2 + 12*u**3 - 12*u.
3*(u - 1)*(u + 1)*(u + 2)**2
Suppose 23 = 4*u + 7. Factor -23*d**3 - 57*d**3 + 2 - 16*d - 8*d**5 - 14*d**4 + 24*d**3 + 48*d**u + 44*d**2.
-2*(d - 1)**4*(4*d - 1)
Let a(b) = b + 19. Let k be a(-17). Let h(w) be the first derivative of 0*w**k + 0*w - 1/16*w**4 + 0*w**3 - 2 + 1/20*w**5. Find t such that h(t) = 0.
0, 1
Let y(q) be the third derivative of q**8/1008 + q**7/210 + q**6/360 - q**5/60 - q**4/36 - 6*q**2. What is k in y(k) = 0?
-2, -1, 0, 1
Let h(m) = m**3 + 16*m**2 + 19*m - 5. Let y be h(-15). Let l be 13/(y/(-6)) + 0. Solve -6/5*n**3 - 3/5 + 24/5*n**2 + 12/5*n**5 - 21/5*n**4 - l*n = 0.
-1, -1/4, 1
Let x(j) = 1 - 2*j + 0*j + 0. Let c be x(-1). Determine h so that 2*h**2 + 2*h**4 - h**3 - h**3 - 2*h**c = 0.
0, 1
Let k(j) be the second derivative of -j**6/165 + j**4/22 - 2*j**3/33 - 13*j. Factor k(w).
-2*w*(w - 1)**2*(w + 2)/11
Let i(h) be the third derivative of h**6/240 + h**5/40 + h**3 - 3*h**2. Let p(j) be the first derivative of i(j). Determine c so that p(c) = 0.
-2, 0
Let x(u) = -5*u**2 + 6*u - 5. Let y(w) = 4*w**2 - 5*w + 4. Let h be (-9)/12*(1 + -5). Let t(j) = h*x(j) + 4*y(j). Factor t(a).
(a - 1)**2
Let 0*r**4 - r**4 - r**2 - 2*r + 8*r**3 - 4*r**4 = 0. What is r?
-2/5, 0, 1
Let r = 10 - 7. Factor -t**r - 3*t**4 - 17*t**3 - 24*t + 53*t**2 - 89*t**2.
-3*t*(t + 2)**3
Let u(m) be the second derivative of m**5/30 - m**3/3 + 3*m**2/2 - m. Let d(y) be the first derivative of u(y). Factor d(n).
2*(n - 1)*(n + 1)
Let f(s) be the first derivative of -s**5/10 - s**4/3 - s - 2. Let n(y) be the first derivative of f(y). Solve n(c) = 0 for c.
-2, 0
Let z(n) be the first derivative of -3*n**4/2 + 28*n**3/3 - 7*n**2 - 8*n - 29. Let z(t) = 0. Calculate t.
-1/3, 1, 4
Let a(t) be the third derivative of -1/3*t**3 - 4*t**2 - 1/8*t**4 + 0 + 0*t + 1/60*t**5 + 1/210*t**7 + 1/40*t**6. Factor a(l).
(l - 1)*(l + 1)**2*(l + 2)
Let z(i) be the first derivative of -i**6/45 + i**5/30 + i**4/18 - i**3/9 + 9*i - 2. Let h(l) be the first derivative of z(l). Factor h(v).
-2*v*(v - 1)**2*(v + 1)/3
Let z = 1 - -1. Suppose 6*v - 15 = v. Factor w**v - 1/2*w**4 + w**z - 1/2*w - 1/2 - 1/2*w**5.
-(w - 1)**2*(w + 1)**3/2
Let b be (-6)/12 - (-2)/(-4) - -3. Factor -2/3*i**b + 2/3 - 2/3*i**3 + 2/3*i.
-2*(i - 1)*(i + 1)**2/3
Let d(n) = -n**5 + n**4 - n**3 - n**2. Let s(r) = 6*r**5 + 18*r**4 - 72*r**3 + 90*r**2. Let f(l) = 9*d(l) + s(l). Let f(u) = 0. What is u?
0, 3
Let l(g) be the second derivative of -g**4/6 + 4*g**3/3 - 4*g**2 - 6*g. Factor l(m).
-2*(m - 2)**2
Let g(s) = -5*s**3 + 7*s**2 - 3*s. Let n(k) = k**3 - k**2 + k. Let a(d) = -g(d) - 3*n(d). Factor a(v).
2*v**2*(v - 2)
Factor 1/7*k**3 - 3/7*k**2 + 0 - 4/7*k.
k*(k - 4)*(k + 1)/7
Let n(o) = -o**2 + 4*o + 1. Let t(h) = 3*h**3 - h**2 + 1. Let a be t(1). Let i be n(a). Solve 0*y**5 + 0*y**i - 3*y**3 - y**5 + 3*y**4 + y**2 = 0 for y.
0, 1
Suppose 0 = 2*t - 0*t. Factor -o**2 - 3*o + t + 2 - 4.
-(o + 1)*(o + 2)
Let s(f) be the first derivative of -1 + f**3 + 1 + 3*f**4 + 6. Determine u, given that s(u) = 0.
-1/4, 0
Factor -6/17*s - 2/17*s**3 - 6/17*s**2 - 2/17.
-2*(s + 1)**3/17
Let 15*k**2 - 12*k - 5*k - 6 + 8*k = 0. Calculate k.
-2/5, 1
Let n(c) be the first derivative of 5/3*c**2 + 2/9*c**3 + 7 + 8/3*c. Solve n(r) = 0.
-4, -1
Let b(s) be the third derivative of -s**8/90720 - s**7/3780 - s**6/360 + s**5/60 - 2*s**2. Let m(g) be the third derivative of b(g). Factor m(q).
-2*(q + 3)**2/9
Let w = 18 - 16. Let -2 + 8*c**w - 12*c + 10 - 4*c**2 = 0. Calculate c.
1, 2
Let l = -4 + 5. Let k be (2 + -1)*l + 3. What is g in -g**5 + 2*g**2 - g**4 - 2*g**5 - 2*g**3 + k*g**5 - 1 + g = 0?
-1, 1
Let q(d) be the second derivative of -d**7/294 - 2*d**6/105 - d**5/28 - d**4/42 + 20*d. Let q(w) = 0. What is w?
-2, -1, 0
Suppose -4 = 3*l - 4*t + 16, 5*l + 4*t = 20. Let l + 4*i**2 + 25*i**5 - 27/2*i**3 + 2*i - 35/2*i**4 = 0. Calculate i.
-2/5, 0, 1/2, 1
Let l(s) be the second derivative of -s**5/70 - s**4/6 + 5*s**3/21 + 75*s**2/7 + 13*s - 1. What is b in l(b) = 0?
-5, 3
Let r(t) be the third derivative of -1/224*t**8 - 10*t**2 - 1/40*t**5 + 0*t + 0*t**3 + 1/140*t**7 + 0*t**4 + 1/80*t**6 + 0. Find l, given that r(l) = 0.
-1, 0, 1
Let c(m) be the third derivative of -m**6/60 + m**5/10 + 3*m**4/4 + 5*m**3/3 - 35*m**2. Factor c(y).
-2*(y - 5)*(y + 1)**2
Let b(y) be the first derivative of -y**3 + 6*y**2 - 9*y + 7. Factor b(l).
-3*(l - 3)*(l - 1)
Let g = 121/56 + -15/8. Factor 0 + 0*x - 2/7*x**3 - g*x**2.
-2*x**2*(x + 1)/7
Find b, given that -b**3 - b**3 + 8*b**5 - 2*b**3 + 14*b**4 = 0.
-2, 0, 1/4
Let k be -3 + 3 - 3/2*-2. Factor 2/5*w**2 + 0 + 0*w - 2/5*w**k.
-2*w**2*(w - 1)/5
Let a(f) be the first derivative of 1/3*f**2 + 5/9*f**3 + 1/15*f**5 + 0*f + 1/3*f**4 + 3. Let a(i) = 0. Calculate i.
-2, -1, 0
Let d = -6 + 8. Let 2*j - 3*j**d - j - 9 - 10*j - 3*j = 0. Calculate j.
-3, -1
Let n = -11 + 13. Let -8*v**3 + 7*v**3 + 0*v**3 - 3*v - 3*v**2 - n + 1 = 0. What is v?
-1
Let v be (22/(-6) - (-2 + -1))*-2. Let l = -3 - -5. Factor v - l*g + 2/3*g**2.
2*(g - 2)*(g - 1)/3
Let k be 4/(-12) - (-14)/6. Suppose -w - k*w + 9 = 0. Factor -4/5*d**2 + 2/5*d + 2/5*d**w + 0.
2*d*(d - 1)**2/5
Let n(r) = r + 2. Let p be n(0). Factor 3*w**2 - 4*w**p + 0 - 2*w + 0.
-w*(w + 2)
Factor -28*s + 19*s**2 - 8 - 2*s**4 + 60*s**3 - 49*s**2 - 73*s**3.
-(s + 2)**3*(2*s + 1)
Let c be 1/1 + 17/(119/14). Solve 3/2*j**2 + 1/3*j**c + 2*j + 2/3 = 0.
-2, -1/2
Let v(g) be the third derivative of -g**6/80 - g**5/8 - 3*g**4/16 + 9*g**3/4 - 6*g**2. Factor v(s).
-3*(s - 1)*(s + 3)**2/2
Let q(j) = j**3 - j - 1. Let z(i) = i**3 + 15*i**2 - 24*i + 20. Let u(k) = -40*q(k) - 5*z(k). Factor u(x).
-5*(x + 3)*(3*x - 2)**2
Factor -912*f**2 - 55*f**4 + 311*f**4 - 20 + 154*f + 194*f - 112*f + 1088*f**3.
4*(f + 5)*(4*f - 1)**3
Let g(h) be the second derivative of 5*h**7/189 + 7*h**6/135 - h**5/30 - 7*h**4/54 - 2*h**3/27 - h. What is m in g(m) = 0?
-1, -2/5, 0, 1
Suppose 0 = 2*j + 1 - 5. Suppose -j*z = -3 - 1. Solve 2*w - 2*w - 2*w**4 - z*w**2 - 4*w**3 = 0 for w.
-1, 0
Let g = -11 + 9. Let u be g + ((-6)/(-9) - -2). Factor 4/3*n - u - 2/3*n**2.
-2*(n - 1)**2/3
Let f(u) = -u**3 - 14*u**2 + 15*u + 16. Let x be f(-15). Let y be 12/30*10/x. Factor -y - 1/4*t**2 - 1/2*t.
-(t + 1)**2/4
Factor -7 + 0 + 2 + 15*x**2 - 10*x**2.
5*(x - 1)*(x + 1)
Let r(g) be the third derivative of 0*g + 0*g**3 + 1/540*g**6 - 1/1512*g**8 + 0*g**4 + 1/945*g**7 - 3*g**2 - 1/270*g**5 + 0. Solve r(p) = 0.
-1, 0, 1
Let f(v) be the second derivative of -3*v**5/20 - v**4/4 - 7*v. Factor f(q).
-3*q**2*(q + 1)
Let i = 58 - 289/5. Let u(r) be the first derivative of -2 + 2/15*r**3 + 0*r + i*r**2. Find k such that u(k) = 0.
-1, 0
Suppose 5*c + 4*i - 14 = 0, -6*i + 8 = 4*c - 2*i. Let g be 2/c + 20/3. Suppose 7 - 9*q**2 - g*q**3 + 4*q**3 + 5 = 0. Calculate q.
-2, 1
Let s(y) be the first derivative of -y**3/3 - 3*y**2 - 3*y + 2. Let a be s(-5). Solve i**4 + i**3 + 4*i**2 - 5*i**2 - a*i**5 + i**5 = 0 for i.
-1, 0, 1
Let m = 57 - 81. Let b be