in -2*o**3 - 1/2*o**4 + 2*o + 2 - 3/2*o**r = 0?
-2, -1, 1
Let r(g) = -10*g**2 + 5*g + 15. Let t(n) = 20*n**2 - 10*n - 30. Let y(z) = 9*r(z) + 4*t(z). Determine l so that y(l) = 0.
-1, 3/2
Let k(b) be the second derivative of -2*b**7/3 + 34*b**6/5 - 119*b**5/5 + 121*b**4/3 - 36*b**3 + 16*b**2 - 39*b. Determine h so that k(h) = 0.
2/7, 1, 4
Let x = 1 - -2. Let a(b) = -b**2 + 4*b. Let j be a(x). Factor -15*o**2 + 3*o**j - 9 - 1 + 24*o - 2.
3*(o - 2)**2*(o - 1)
Let d(y) be the first derivative of -3/4*y - 1/4*y**3 + 6 + 3/4*y**2. Factor d(l).
-3*(l - 1)**2/4
Let x(s) = -11*s**3 + 30*s**2 - 53*s + 19. Let g(b) = b**3 + b. Let w be g(1). Let j(u) = 5*u**3 - 15*u**2 + 26*u - 10. Let z(l) = w*x(l) + 5*j(l). Factor z(y).
3*(y - 2)**2*(y - 1)
Suppose 2*j = 5*j - 12. What is l in 6 + 61*l**5 - 7*l**5 + 2*l**3 - 4 + 94*l**2 - 102*l**j - 56*l + 6 = 0?
-1, 2/9, 2/3, 1
Let s(f) be the second derivative of -f**4/24 + f**3/6 - f**2/4 + 2*f. Factor s(r).
-(r - 1)**2/2
Factor 0*c**2 + 0 + 0*c + 0*c**3 + 6/5*c**5 - 4/5*c**4.
2*c**4*(3*c - 2)/5
Let c(m) be the second derivative of -2*m**2 - 2/5*m**5 - 2*m**4 - 8*m + 0 - 3*m**3. Let c(o) = 0. Calculate o.
-2, -1/2
Let y(x) be the second derivative of x**5/30 - 5*x**4/18 + 8*x**3/9 - 4*x**2/3 - 10*x. Determine o, given that y(o) = 0.
1, 2
Let o(i) = 5*i**2 + 9*i - 9. Let a(k) = k**2 + 2*k - 2. Let c = -44 + 26. Let z(d) = c*a(d) + 4*o(d). Suppose z(j) = 0. Calculate j.
0
Let l(t) be the second derivative of 7*t**6/10 - 3*t**5/4 - 4*t**4 - 2*t**3 + 12*t. Factor l(a).
3*a*(a - 2)*(a + 1)*(7*a + 2)
Factor 15/2*h - 3/4*h**4 - 9/4 + 9/2*h**3 - 9*h**2.
-3*(h - 3)*(h - 1)**3/4
Let k(b) = 4*b + 4. Let q be k(-3). Let t(y) = -y**3 - 8*y**2 + 4. Let d be t(q). What is w in -d*w**2 - 4*w - 7*w**3 + 3*w**3 + 3*w**3 = 0?
-2, 0
Let h(r) be the second derivative of -r**7/126 - r**6/30 - r**5/20 - r**4/36 - 3*r. Factor h(n).
-n**2*(n + 1)**3/3
Let j(r) = -8*r**5 - 28*r**4 - 56*r**3 - 44*r**2 - 12*r. Let c(f) = 7*f**5 + 27*f**4 + 55*f**3 + 45*f**2 + 13*f. Let t(k) = -4*c(k) - 3*j(k). Factor t(x).
-4*x*(x + 1)**2*(x + 2)**2
Let k be ((-284)/12)/(3/(-9)). Let o = k - 211/3. Factor -2/3*w**2 - 2/9*w**3 - 2/9 - o*w.
-2*(w + 1)**3/9
Let p be -2*1*(0 + -2). Let s(b) = -1 + 1 - b + b**p. Let j(i) = -10*i**4 - 10*i**3 + 16*i**2 + 4*i. Let o(f) = -j(f) - 12*s(f). Factor o(y).
-2*y*(y - 2)**2*(y - 1)
Let w = -1557/5 - -307. Let h = 76/15 + w. Factor 4/3*v - h + 16/3*v**2.
2*(2*v + 1)*(4*v - 1)/3
Let z(h) be the third derivative of h**8/504 - h**6/90 + h**4/36 - 17*h**2. Factor z(c).
2*c*(c - 1)**2*(c + 1)**2/3
Let o(u) = -3*u. Let a be o(0). Let r(b) be the first derivative of 1 + 3/2*b**2 - b**3 + a*b. Determine j so that r(j) = 0.
0, 1
Let f(p) = -p**2 + 1. Let s be f(2). Let k be (15/(-2))/(s/6). What is y in -7*y**3 + k*y**3 - 2*y + 4*y - 10*y**2 = 0?
0, 1/4, 1
Let g(q) = -q**2 + 11*q - 4. Let s be 2 - 7/((-7)/(-12)). Let m(r) = -r - 1. Let p(c) = s*m(c) - 2*g(c). Factor p(v).
2*(v - 3)**2
Let t(d) = 11*d**2 + 11*d - 16. Let g(s) = -10*s**2 - 10*s + 15. Let m(f) = -6*g(f) - 5*t(f). Factor m(a).
5*(a - 1)*(a + 2)
What is o in -6/11*o**3 + 0 - 2/11*o**4 - 2/11*o - 6/11*o**2 = 0?
-1, 0
Let m be (102/(-40) - -3)*(-16 - -20). Factor -m*t**4 + 3/5*t**2 + 0*t + 0 - 6/5*t**3.
-3*t**2*(t + 1)*(3*t - 1)/5
What is r in 2*r**2 - 2/3*r**4 + 0*r**3 + 0 + 4/3*r = 0?
-1, 0, 2
Factor -3*k**2 + 4*k**2 - 5*k**3 - 60*k - 12*k**2 - 40 - 19*k**2.
-5*(k + 2)**3
Let q(p) be the first derivative of -p**6/2 + 24*p**5/5 - 33*p**4/2 + 28*p**3 - 51*p**2/2 + 12*p + 37. Factor q(f).
-3*(f - 4)*(f - 1)**4
Let f(d) be the third derivative of 5/1344*d**8 + 0*d**3 + 0 - d**2 + 1/420*d**7 - 1/120*d**5 - 1/96*d**6 + 0*d**4 + 0*d. Suppose f(l) = 0. Calculate l.
-1, -2/5, 0, 1
Find g such that 8/9*g**2 - 8/9 - 2/9*g + 2/9*g**3 = 0.
-4, -1, 1
Determine r so that 0*r + 2/9*r**2 + 2/9*r**3 + 0 - 2/9*r**5 - 2/9*r**4 = 0.
-1, 0, 1
Let f(p) be the second derivative of -4*p**7/105 + p**6/20 + p**5/30 - 3*p**2/2 + 7*p. Let w(n) be the first derivative of f(n). Factor w(u).
-2*u**2*(u - 1)*(4*u + 1)
Let r(u) be the third derivative of u**5/180 + u**4/24 + 3*u**2. Factor r(h).
h*(h + 3)/3
Let k be 987/490 - (-1 - -3). Let q(b) be the third derivative of 0 + 5/8*b**4 - 1/40*b**6 + b**3 - b**2 + 0*b - k*b**7 + 3/20*b**5. What is v in q(v) = 0?
-1, 2
Let u(o) be the third derivative of o**8/60480 - o**7/15120 + 2*o**5/15 + 9*o**2. Let j(z) be the third derivative of u(z). Factor j(n).
n*(n - 1)/3
Factor 4*r - r**2 - 6*r**3 + 3 + 3*r**2 - 3.
-2*r*(r - 1)*(3*r + 2)
Let i(q) be the first derivative of -q**6/3 + 8*q**5/5 - 3*q**4 + 8*q**3/3 - q**2 - 6. Factor i(k).
-2*k*(k - 1)**4
Let z(o) be the third derivative of 0*o + 0 + 0*o**3 + 1/8*o**4 - 1/20*o**5 - 5*o**2. Let z(k) = 0. Calculate k.
0, 1
Let z(u) be the second derivative of -3*u - 2/3*u**2 - 1/18*u**4 - 1/3*u**3 + 0. Let z(v) = 0. What is v?
-2, -1
Let c(l) be the second derivative of -1/78*l**4 - 2/39*l**3 + 0 + 0*l**2 + 3*l. Factor c(j).
-2*j*(j + 2)/13
Let y be (-42)/(-7)*2/4. Suppose -6*g = -g - 4*b, y*g = -5*b. Suppose -2/7*f**2 + 0 + g*f = 0. What is f?
0
Factor -5/4*d**2 - 5/2*d**3 + 15/4*d + 0.
-5*d*(d - 1)*(2*d + 3)/4
Let g(b) be the second derivative of -b**5/20 + b**4/12 + b**3/6 - b**2/2 - 6*b. Determine p so that g(p) = 0.
-1, 1
Let x be (4 - 2) + (0 - -1). Let y be x/2*4/6. Let -y - 2*t**2 + 1 = 0. Calculate t.
0
Suppose -24 = -9*z + 21. Let g(r) = r - 3. Let h be g(6). Factor -n + 4*n**2 - 3*n**2 - z*n**3 + 4*n**3 - h*n**2.
-n*(n + 1)**2
Let n(g) be the first derivative of -g**4 + 12*g**3 - 48*g**2 + 64*g - 6. Factor n(s).
-4*(s - 4)**2*(s - 1)
Suppose -16*t = 12*t. Let t*h + 0 - 5/8*h**3 + 1/4*h**2 - 7/8*h**4 = 0. What is h?
-1, 0, 2/7
Suppose -66*q + 30*q = 0. Factor q*f + 0 - 8/7*f**5 - 2/7*f**3 + 0*f**2 + 8/7*f**4.
-2*f**3*(2*f - 1)**2/7
Let m be -6 + 9 - (0 + (-177)/(-60)). Let t(c) be the third derivative of -m*c**6 - 1/4*c**4 - c**2 + 0 - 2/3*c**3 + 0*c + 4/15*c**5. Factor t(z).
-2*(z - 2)*(z - 1)*(3*z + 1)
Let y be ((-1)/3)/(9/(-36)). Factor -2/3*x**5 + y*x**2 - 2/3*x**4 + 4/3*x**3 - 2/3*x - 2/3.
-2*(x - 1)**2*(x + 1)**3/3
Factor -4*c**3 + 4*c**2 + 9*c**3 - 9*c**3.
-4*c**2*(c - 1)
Factor -2/9*c**4 - 32/9 + 16/9*c**2 + 0*c + 0*c**3.
-2*(c - 2)**2*(c + 2)**2/9
Let l(n) be the first derivative of 2*n**4/5 - 2*n**3/5 + 23. Solve l(k) = 0 for k.
0, 3/4
Let w(u) be the third derivative of u**6/600 - u**5/300 - u**4/60 + 12*u**2. Factor w(d).
d*(d - 2)*(d + 1)/5
Solve 4*u + 0*u - u**3 + 4 - 4*u - 3*u**2 = 0 for u.
-2, 1
Let z = 98 + -96. Solve 6/5*j - 27/5*j**z - 3*j**4 + 36/5*j**3 + 0 = 0.
0, 2/5, 1
Suppose 2*b = 5*c + 17, b + 27 = 5*b - 3*c. Factor 30 + 14*v**3 - 26 + 3*v**4 - 9*v**4 - 6*v**2 - b*v.
-2*(v - 1)**3*(3*v + 2)
Let l be (-54)/648*(1 - 4). Solve l*b**2 + 0 + 1/4*b = 0 for b.
-1, 0
Find b, given that -2*b + 3*b**3 - 6*b**2 - 3*b**2 - 7*b**3 = 0.
-2, -1/4, 0
Let f(u) be the second derivative of 0*u**2 + 0 + 3/5*u**5 + 0*u**3 + 0*u**6 - u - 2/21*u**7 - 2/3*u**4. Let f(y) = 0. What is y?
-2, 0, 1
Suppose -14/5*p**5 - 8*p**3 - 8/5*p**2 + 0*p - 46/5*p**4 + 0 = 0. Calculate p.
-2, -1, -2/7, 0
Let y(i) = -3*i**2 - 4*i - 4. Let p(l) = 4*l**2 + 5*l + 4. Suppose 6 = 2*d + a, -2*d = 5*a - 0 + 2. Let q(k) = d*p(k) + 5*y(k). Let q(j) = 0. Calculate j.
-2, 2
Let n(t) be the first derivative of 2/65*t**5 - 2/13*t**2 + 10/39*t**3 + 0*t - 2 - 2/13*t**4. Determine x, given that n(x) = 0.
0, 1, 2
Let f(v) = 4*v**4 - 8*v**3 - 36*v**2 - 42*v - 16. Let u(w) = -17*w**4 + 32*w**3 + 144*w**2 + 169*w + 65. Let b(o) = 9*f(o) + 2*u(o). Factor b(m).
2*(m - 7)*(m + 1)**3
Let d(c) be the third derivative of -c**8/1176 + 2*c**7/245 - c**6/35 + 4*c**5/105 - 11*c**2 - 4. Factor d(n).
-2*n**2*(n - 2)**3/7
Let p(n) be the first derivative of -1/84*n**4 - n**2 + 2 - 1/70*n**5 + 0*n + 2/21*n**3. Let w(t) be the second derivative of p(t). Let w(u) = 0. Calculate u.
-1, 2/3
Solve u**2 + 2*u**4 + u - 6*u**5 + 5*u**5 + 0*u**5 - 3*u**2 = 0.
-1, 0, 1
Suppose -i + 0 = -3. Let f = -3 + i. Factor f*h**2 + h**3 + 2 - 5*h + h**4 - 4 - 3*h**2.
(h - 2)*(h + 1)**3
Let j(z) = -z**3 - z**2 + 2*z + 4. Let a be j(0). Let v be 3 - (-6)/(a + -1). Determine d so that -2/5*d**v + 6/5*d + 4/5*d**2 - 4/5*d**3 - 6/5*d**4 + 2/5 = 0.
-1, 1
Let u(k) be the first deri