0 for o.
0, 2
Suppose 43*a - 40*a - 3 = 0. Factor a + 18*d + 2 - 3*d**2 - 3.
-3*d*(d - 6)
Let r be (-11)/(-19 - 3) + 0/2. Let l(q) = q + 4. Let c be l(0). Factor 0 + 1/2*y**5 + 0*y**2 + r*y + 0*y**c - y**3.
y*(y - 1)**2*(y + 1)**2/2
Let g be 117*((-448)/(-147) - 3) - 5. Factor -2/7 - 2/7*d**2 - g*d.
-2*(d + 1)**2/7
Let t(x) be the second derivative of 0*x**2 + 0*x**4 + 0*x**3 + 8*x + 0 + 1/4*x**5. What is g in t(g) = 0?
0
Let c = 4730 + -4730. Suppose c - 1/5*t**4 + 1/5*t**2 - 1/5*t + 1/5*t**3 = 0. What is t?
-1, 0, 1
What is x in 3/5*x**3 - 21/5*x - 12/5 - 6/5*x**2 = 0?
-1, 4
Factor 2/7*k**4 - 10/7*k**2 + 0 + 12/7*k - 4/7*k**3.
2*k*(k - 3)*(k - 1)*(k + 2)/7
Suppose -24 = 3*y - 3. Let t be (0 - -2) + y - -5. Solve -5/2*v**2 + t + v - 1/2*v**4 + 2*v**3 = 0.
0, 1, 2
Let x(v) be the first derivative of v**7/945 + v**6/135 + v**5/90 - v**4/27 - 4*v**3/27 - 4*v**2 - 8. Let q(l) be the second derivative of x(l). Factor q(d).
2*(d - 1)*(d + 1)*(d + 2)**2/9
Factor -2/7*s**2 - 6/7*s - 4/7.
-2*(s + 1)*(s + 2)/7
Let r be 300/135 - (2 - 48/27). Let q(y) be the third derivative of -9/8*y**3 - 2*y**r + 0 - 3/16*y**4 - 1/80*y**5 + 0*y. Factor q(s).
-3*(s + 3)**2/4
Let j(g) be the third derivative of 0*g - 3/80*g**6 + 0 + 0*g**3 - 1/8*g**5 + 1/140*g**7 - 1/8*g**4 + 1/224*g**8 + 10*g**2. Factor j(p).
3*p*(p - 2)*(p + 1)**3/2
Let m(a) = -6*a - 8. Let l be m(-2). Solve 40*f**2 - 4 - 4 + 13 - 10*f**l - 10*f**3 + 5*f**5 - 35*f + 5 = 0.
-2, 1
Suppose -b = -13 + 11. Factor -6 - 1 - 2*s + 10 - 2*s**b + 1.
-2*(s - 1)*(s + 2)
Let n(r) = 2*r**2 + 139*r + 335. Let a be n(-67). Factor -2/7*d**5 - 2/7*d**4 + a + 2/7*d**3 + 0*d + 2/7*d**2.
-2*d**2*(d - 1)*(d + 1)**2/7
Let b(c) = -88 + c**2 - 91 + c + 178. Let m(v) = -16*v**5 - 40*v**4 + 87*v**3 - 40*v**2 - v + 5. Let q(z) = 10*b(z) + 2*m(z). Let q(a) = 0. Calculate a.
-4, 0, 1/4, 1
Suppose 0*v + 214 + 578 = 88*v. Suppose 3/2*q**4 + 6*q**3 + v*q**2 + 3/2 + 6*q = 0. What is q?
-1
Let f(p) = p**5 + p**3 - 2*p**2 + p. Let q(c) = -2*c**5 - c**4 + 5*c**3 + 6*c**2 - 9*c. Let a(n) = -3*f(n) - 3*q(n). Factor a(d).
3*d*(d - 2)*(d - 1)*(d + 2)**2
Solve 48/5*u**2 + 24/5*u**3 + 4/5*u**4 + 32/5*u + 0 = 0 for u.
-2, 0
Suppose -2*l + 4*a = -8, 0 = 4*a + 5 - 1. Solve 4*b - 4*b**5 + 5 + 35 + 40*b**l - 67*b - 16*b**4 + 32*b**3 - 29*b = 0.
-5, -2, 1
Let u(b) be the third derivative of 0 + 0*b**3 + 0*b + 1/30*b**6 + 0*b**5 - 1/6*b**4 - 24*b**2. Suppose u(s) = 0. Calculate s.
-1, 0, 1
Let m(i) be the second derivative of -i**5/20 + 13*i**4/12 - 8*i**3 + 18*i**2 + 57*i. Factor m(l).
-(l - 6)**2*(l - 1)
Factor -20 - 3*m**2 - 4*m**2 + 6*m**2 + 8*m**2 + 65*m - 22*m**2.
-5*(m - 4)*(3*m - 1)
Suppose -2592 - 114*i**4 - 7776*i - 14/3*i**5 - 4464*i**2 - 1056*i**3 = 0. What is i?
-6, -3/7
Let p(r) be the third derivative of -r**9/45360 + r**7/7560 - 3*r**4/8 + r**2. Let c(k) be the second derivative of p(k). Find x such that c(x) = 0.
-1, 0, 1
Let y(a) be the second derivative of a**9/2016 - a**8/560 + a**7/560 + a**3/3 + 9*a. Let x(q) be the second derivative of y(q). Factor x(o).
3*o**3*(o - 1)**2/2
Let f(x) be the first derivative of 2*x**3/27 - 74*x**2/9 + 2738*x/9 - 94. What is y in f(y) = 0?
37
Factor 1/5*a**2 + 0 - 25*a.
a*(a - 125)/5
Suppose 7*i = 4*i - 42. Let q be 15/189 + (-2)/i. Factor 2/9*b + q*b**3 + 4/9*b**2 + 0.
2*b*(b + 1)**2/9
Let i(z) be the third derivative of -z**6/120 + 4*z**5/3 - 559*z**4/8 + 507*z**3 - 13*z**2 + 2. Factor i(j).
-(j - 39)**2*(j - 2)
Factor 115*j**2 + 25*j**3 - 167 - 50*j + 167.
5*j*(j + 5)*(5*j - 2)
Let g(j) be the second derivative of -j**4/4 - 227*j**3/2 - 16*j + 18. Factor g(h).
-3*h*(h + 227)
Let i(m) be the second derivative of 11/12*m**4 + 1/2*m**3 - 14*m + 0 - 3/10*m**5 - m**2. Factor i(t).
-(t - 2)*(2*t + 1)*(3*t - 1)
Let m(y) be the first derivative of 4*y + 6 + 6*y**3 + 7*y**2 + 5/2*y**4 + 2/5*y**5. Factor m(f).
2*(f + 1)**3*(f + 2)
Find s, given that 0*s**4 + 2/3*s**5 - 4/3*s**3 + 0 + 2/3*s + 0*s**2 = 0.
-1, 0, 1
Let u(c) = 62*c**3 - 186*c**2 + 216*c - 60. Let k(i) = i**4 + 125*i**3 - 373*i**2 + 432*i - 121. Let t(q) = 6*k(q) - 13*u(q). Find b, given that t(b) = 0.
1/3, 3
Let z(l) be the first derivative of -l**3/12 + 11*l**2/8 - 5*l/2 - 43. Factor z(y).
-(y - 10)*(y - 1)/4
Let y(c) be the second derivative of -c**6/15 + 7*c**5/10 - 5*c**4/3 + 67*c. Solve y(g) = 0.
0, 2, 5
Let a(z) = 2*z - 13. Let b be a(9). Let r(g) be the third derivative of -1/28*g**4 + 0 + 1/140*g**6 + 1/21*g**3 - 1/210*g**b + 0*g + 3*g**2. Factor r(x).
2*(x - 1)*(x + 1)*(3*x - 1)/7
Let h(w) be the second derivative of -26/3*w**3 + 6*w - 2/7*w**7 + 0 - 12*w**2 + 16/5*w**5 + 2/3*w**4 + 8/15*w**6. Determine q, given that h(q) = 0.
-1, -2/3, 1, 3
Factor 1/5*u**2 - 1/5*u**3 + 8*u - 112/5.
-(u - 4)**2*(u + 7)/5
Let k(d) be the second derivative of d**7/5880 + d**6/420 - d**5/56 + 25*d**4/12 + 30*d. Let f(q) be the third derivative of k(q). Factor f(a).
3*(a - 1)*(a + 5)/7
Suppose 11*u**2 + 0*u**4 - u**5 + u**4 + 1704*u**3 - 1695*u**3 + 4*u = 0. Calculate u.
-1, 0, 4
Let w be (-4)/14*(-14)/6. Let u = 13018 + -13015. Suppose 8/3*f + 8/3*f**u + w + 2/3*f**4 + 4*f**2 = 0. Calculate f.
-1
Let i be 1 - (2/(-7) + (-27)/(-21)). Factor i*u**3 + 2*u**4 + 6 + 3*u**3 - 4*u + u**3 - 8*u**2.
2*(u - 1)**2*(u + 1)*(u + 3)
Let l(g) be the first derivative of 34*g**3/3 + 28*g**2 - 24*g + 558. Let l(c) = 0. Calculate c.
-2, 6/17
Let c(j) = -3*j**2 - 3*j + 5. Let w be 2 - (2 + 0 + -2)/2. Let h(i) = -i**2 - i + 2. Let u(b) = w*c(b) - 5*h(b). Factor u(m).
-m*(m + 1)
Let n be 18/(-27) - 34/(-6). Find h such that 0*h**5 + 2*h**2 - 7*h**2 + n*h**5 - 5*h**3 + 5*h**4 = 0.
-1, 0, 1
Factor 55*l**2 + 0 - 5/2*l**3 - 100*l.
-5*l*(l - 20)*(l - 2)/2
Let i(w) be the first derivative of 9*w**5/5 + 3*w**4/4 - 2*w**3 - 123. Determine u so that i(u) = 0.
-1, 0, 2/3
Factor -16/9 + 4/9*q**3 + 32/9*q - 20/9*q**2.
4*(q - 2)**2*(q - 1)/9
Let f be (16/120)/((1/4)/((-115)/(-368))). Suppose -f*r**2 + 7/3*r - 49/6 = 0. What is r?
7
Let s be (2/4)/((57/18)/19). Let 27*c + 15*c**s - 7*c + 80*c**2 - 8*c**4 - 35*c**5 - 72*c**4 = 0. What is c?
-2, -1, -2/7, 0, 1
Let h(a) be the first derivative of 0*a**2 + a**3 - 4 + 0*a**4 + 0*a**5 + 1/2100*a**7 - 1/450*a**6 + 0*a. Let z(c) be the third derivative of h(c). Factor z(o).
2*o**2*(o - 2)/5
Let d(n) be the first derivative of -n**4/40 + 48*n**3/5 - 5184*n**2/5 - 26. Solve d(l) = 0 for l.
0, 144
Let o(b) be the second derivative of -1/4*b**4 - b**3 - 3/2*b**2 + 12*b + 0. Find y such that o(y) = 0.
-1
Let o = -329 - -339. Suppose 0 = -m + 4*t, 0 = 2*t - 0*t - 2. Factor r**4 - o*r**5 + 8*r**5 + r**m.
-2*r**4*(r - 1)
Let i(s) be the third derivative of -s**6/210 + 22*s**5/105 - 38*s**4/21 + 48*s**3/7 + 190*s**2. Solve i(g) = 0 for g.
2, 18
Suppose 0 = -10*s - 10 - 0. Let h = s + 5. Factor 9/8*x**5 + 0 + 3*x**h + 2*x - 4*x**2 - x**3.
x*(x + 2)**2*(3*x - 2)**2/8
Let b = 14/363 - -3/968. Let m(a) be the second derivative of 0 + 0*a**2 + 1/24*a**3 - b*a**4 + 1/80*a**5 - 11*a. Solve m(p) = 0 for p.
0, 1
Let f(h) be the first derivative of -2*h**6/5 + 33*h**5/20 - 9*h**4/4 + h**3/2 + 3*h**2/2 - 12*h - 3. Let n(g) be the first derivative of f(g). Factor n(k).
-3*(k - 1)**3*(4*k + 1)
Factor -109*r**4 - 2401*r**2 + 1205*r**2 + 37*r**4 - 2*r**3 + 1200*r**2.
-2*r**2*(4*r + 1)*(9*r - 2)
Let z(r) be the first derivative of -r**4/8 - 5*r**3/3 - 19*r**2/4 + 15*r + 21. Factor z(u).
-(u - 1)*(u + 5)*(u + 6)/2
Let f(g) = 4*g**2 + 2*g - 24. Let k(q) = -9*q**2 - 5*q + 46. Let i(h) = 7*f(h) + 3*k(h). Factor i(u).
(u - 6)*(u + 5)
Factor -64/9 + 16/9*c - 1/9*c**2.
-(c - 8)**2/9
Factor -75*v + 82 - 246 + 84 + 5*v**2.
5*(v - 16)*(v + 1)
Let m(b) be the second derivative of b + 1/60*b**5 + 0*b**3 + 3/2*b**2 - 1/12*b**4 + 0. Let i(q) be the first derivative of m(q). Factor i(g).
g*(g - 2)
Let d(x) = -3. Let p(k) = 16. Let y(m) = -11*d(m) - 2*p(m). Let a(i) = 5*i**2 - 5*i + 5. Let q(l) = a(l) - 5*y(l). Suppose q(g) = 0. What is g?
0, 1
Let o(j) = -19*j**2 - j - 2. Let a be o(-1). Let d = 1 - a. Let d*q**4 - 1 + 3*q**5 - 6*q + 3*q**5 + 0 + 24*q**3 - 2 + 6*q**2 = 0. What is q?
-1, 1/2
Let y(i) be the second derivative of -i**5/150 + 3*i**4/20 - 14*i**3/15 - 18*i**2 - 2*i + 35. Let k(g) be the first derivative of y(g). Factor k(w).
-2*(w - 7)*(w - 2)/5
Let n(s) = s**3 + s**2