 What is r?
-1, 0, 1
Let o = -80 - -397/5. Let k = 11/10 + o. Factor -1/2*l**5 - 4 + 2*l + 5*l**2 - k*l**3 - 2*l**4.
-(l - 1)**2*(l + 2)**3/2
Factor q**4 - 16*q + 3*q**2 + 6*q + 9*q - 2 - 2*q**4 + q**3.
-(q - 2)*(q - 1)*(q + 1)**2
Let b(n) be the second derivative of -n**8/1680 - n**7/210 - n**6/120 + n**5/30 + n**4/6 + n**3/3 - 4*n. Let d(h) be the second derivative of b(h). Factor d(v).
-(v - 1)*(v + 1)*(v + 2)**2
Let o(q) be the second derivative of 1/63*q**7 + 0 + 1/15*q**5 - 1/3*q**3 - 1/3*q**2 + 6*q + 1/15*q**6 - 1/9*q**4. Factor o(w).
2*(w - 1)*(w + 1)**4/3
Find r, given that -23/2*r - 5/2*r**2 + 5 = 0.
-5, 2/5
Let b(q) = 9*q**5 - q**4 - 3*q**3 - 7*q**2 + 2*q - 8. Let w(z) = z**5 - z**2 - 1. Let g(u) = 5*b(u) - 40*w(u). Solve g(v) = 0 for v.
-1, 0, 1, 2
Let h(o) be the second derivative of -3*o**5/20 + o**4/4 + 2*o**3 - 6*o**2 - 24*o. Factor h(k).
-3*(k - 2)*(k - 1)*(k + 2)
Determine l, given that -4 - 7*l**2 + 22*l - 143/2*l**3 - 14*l**4 + 49/2*l**5 = 0.
-1, 2/7, 2
Suppose -95 = -4*x + 69. Let c = -25 + x. Suppose -11 + m**2 + 3 + 6*m**2 + 3*m**2 + c*m = 0. Calculate m.
-2, 2/5
Let b(v) be the second derivative of -1/36*v**4 + 1/18*v**3 + 1/90*v**6 + v + 0 - 1/60*v**5 + 0*v**2. Solve b(f) = 0.
-1, 0, 1
Let t = 950/357 + 2/357. Find l such that 16/3 - 2/3*l**5 + 8/3*l - 2/3*l**3 - 20/3*l**2 + t*l**4 = 0.
-1, 2
Let h be 1/((-4)/(-8)) - -3. Factor -4*s**5 + s**h - s**4 + 4*s**4.
-3*s**4*(s - 1)
Let m be (26/8)/((-92)/(-16)). Let x = 163/207 - m. Factor -x*a**2 + 2/9*a**3 + 2/9 - 2/9*a.
2*(a - 1)**2*(a + 1)/9
Let n(a) = -a**3 - 3*a**2 - 4*a - 5. Let l be n(-3). Factor -56*d**2 + 24*d**3 + 7*d**4 + 9*d + 35*d - l*d**5 - 3*d**4 - 12 + 3*d**5.
-4*(d - 1)**4*(d + 3)
Let m(o) be the first derivative of o**6/15 - 8*o**5/25 + 3*o**4/5 - 8*o**3/15 + o**2/5 - 14. Factor m(f).
2*f*(f - 1)**4/5
Suppose 17*t - 10 = 12*t. Let d be (-1)/(t + (-115)/45). Find o, given that 12/5*o**3 + d*o**2 + 0 + o**4 + 2/5*o = 0.
-1, -2/5, 0
Let p be (-4)/(-14) - (-66)/14. Let c(m) = m**3 - 6*m**2 + 3*m + 10. Let w be c(p). Factor 0*k + 2/11*k**2 + 2/11*k**3 + w.
2*k**2*(k + 1)/11
What is b in 729/4 + 27/4*b**2 + 1/4*b**3 + 243/4*b = 0?
-9
Let f(d) = -d**2 + 3*d + 1. Let p be f(2). Let n(u) be the second derivative of 1/20*u**4 + 0 + 1/10*u**2 + 2*u + 2/15*u**p. Factor n(w).
(w + 1)*(3*w + 1)/5
Suppose -2*g + 3*g + 5*t + 9 = 0, 12 = -4*t. Let y = 8 - g. Factor -y*h**2 + 0 - 1 + 3*h**2.
(h - 1)*(h + 1)
Let t be 3/(-6)*2 + 6. Suppose 2*f = t*f - 9. Solve 2/3 + 2*g**2 + 2/3*g**f + 2*g = 0.
-1
Let l(x) be the first derivative of x**6/3 - 4*x**5/15 - x**4/2 + 4*x**3/9 - 43. Find k such that l(k) = 0.
-1, 0, 2/3, 1
Let t = 28 - 26. Factor 1/5*u - 1/5*u**t + 2/5.
-(u - 2)*(u + 1)/5
Let o(s) = -7*s**3 - 37*s**2 + 30*s - 12. Let p(t) = t**3 + 6*t**2 - 5*t + 2. Let z(i) = 6*o(i) + 39*p(i). What is f in z(f) = 0?
1, 2
Let r(o) = -o**4 - 2*o**3 + 7*o**2 + 4. Let y(x) = 6*x**4 + 9*x**3 - 36*x**2 - 21. Let z be (-1*1)/((-6)/126). Let q(k) = z*r(k) + 4*y(k). Factor q(c).
3*c**2*(c - 1)**2
Let y(h) = -h**5 + 6*h**4 - 2*h**3 - 8*h**2 + 3*h - 2. Let l(p) = p**5 - 7*p**4 + 3*p**3 + 9*p**2 - 4*p + 3. Let u(z) = -4*l(z) - 5*y(z). Factor u(w).
(w - 2)*(w - 1)**2*(w + 1)**2
Let o(l) be the first derivative of l**4/22 + 2*l**3/11 + 2*l**2/11 + 9. Solve o(s) = 0.
-2, -1, 0
Let o(l) = -8*l**3 + 9*l + 11. Let h(v) = -9*v**3 + 7*v + 9 + 5 - 2 + 2*v. Let b(m) = 5*h(m) - 6*o(m). Factor b(t).
3*(t - 2)*(t + 1)**2
Let h = 235 + -469/2. Find g such that 1/8*g**4 + 3/4*g**2 + 1/8 + h*g + 1/2*g**3 = 0.
-1
Let a be ((-30)/4)/((-6)/1). Let w(v) be the first derivative of -a*v**4 - 1 + v**3 + 0*v + v**2. Solve w(f) = 0.
-2/5, 0, 1
Let m(g) = g**3 + 10*g**2 + 6*g - 24. Let o be m(-9). Suppose 0*u - 12 = -3*u. Find b such that -2/3*b**5 + 2/3*b**2 + 0*b + 2/3*b**o - 2/3*b**u + 0 = 0.
-1, 0, 1
Let k(c) be the third derivative of c**7/280 - 7*c**6/360 + c**5/60 - c**3 + c**2. Let h(y) be the first derivative of k(y). What is r in h(r) = 0?
0, 1/3, 2
Suppose -j = j + 6, 3*j + 7 = -k. Find t such that -2/3*t**2 - 4/3 - k*t = 0.
-2, -1
Let k(s) be the second derivative of 0 + s + 1/36*s**4 + 0*s**2 - 1/18*s**3. Factor k(t).
t*(t - 1)/3
Suppose -2*q - 27 = -11*q. Factor -6/5*a**2 + 2/5*a**q - 2/5*a + 2/5*a**4 + 4/5.
2*(a - 1)**2*(a + 1)*(a + 2)/5
Let a be 0 + 0/((-8)/(-4))*1. Let o(g) be the third derivative of 0*g**3 + 1/120*g**5 + a*g + 0 - 2*g**2 - 1/48*g**4. Let o(s) = 0. Calculate s.
0, 1
Let f(s) be the first derivative of s**4/2 - 2*s**3 + 3*s**2 - 2*s - 5. What is n in f(n) = 0?
1
Let j(u) be the second derivative of 6*u + 0*u**3 + 0*u**2 + 0 - 1/2*u**4 + 3/20*u**5. Factor j(o).
3*o**2*(o - 2)
Determine n so that -3*n**2 + 2*n - 2*n + 4*n**4 - n**2 + 4*n - 4*n**3 = 0.
-1, 0, 1
Solve 24*i + 5*i**2 - 10*i - 9*i = 0 for i.
-1, 0
Let t(q) be the first derivative of q**6/2 + 12*q**5/5 + 3*q**4/4 - 10*q**3 - 6*q**2 + 24*q - 8. Find r, given that t(r) = 0.
-2, 1
Suppose 5 = -3*c + 4*c, -m = c - 9. Suppose m = -0*n + n. Let 1/2*v**n - 1/2*v**2 - 1/4*v**5 + 0*v**3 + 0 + 1/4*v = 0. Calculate v.
-1, 0, 1
Suppose 10 = -0*s + 5*s. Let 2*g**s + 0*g**2 - 3*g**2 + g**3 = 0. Calculate g.
0, 1
Let k be (-292)/(-20) - (-3 - -6). Let q = 12 - k. Factor -2/5*v**4 + 0*v + 0*v**2 - q*v**3 + 0.
-2*v**3*(v + 1)/5
Let q(d) be the first derivative of d**6/160 - d**5/80 - 2*d**2 - 2. Let t(u) be the second derivative of q(u). Factor t(y).
3*y**2*(y - 1)/4
Let m(x) be the third derivative of -x**7/105 - x**6/60 + x**5/30 + x**4/12 + 6*x**2. Suppose m(i) = 0. What is i?
-1, 0, 1
Let p(i) = -i**2 + 0 + 15*i**3 - 3*i + 3 - 8*i**2 + 6*i**2. Let f(r) = 16*r**3 - 3*r**2 - 4*r + 4. Let y(c) = -3*f(c) + 4*p(c). Solve y(o) = 0 for o.
0, 1/4
Let r = 164161/108 - 1520. Let a(t) be the third derivative of 1/27*t**3 - r*t**4 - 1/270*t**5 + 0 + 0*t + 1/540*t**6 - t**2. Factor a(l).
2*(l - 1)**2*(l + 1)/9
Suppose 8/3*g + 0 + 1/3*g**2 = 0. What is g?
-8, 0
Let g(z) = 2*z - 1. Let f be g(2). Suppose f*l = l. Determine y so that 0*y - 1/3*y**5 + 0*y**3 + 0 + l*y**2 - 1/3*y**4 = 0.
-1, 0
Let y(k) be the first derivative of 1/39*k**6 - 1/13*k**4 + 2/65*k**5 + 0*k**3 - 7 + 0*k**2 + 0*k. Suppose y(q) = 0. Calculate q.
-2, 0, 1
Let d(b) be the first derivative of 3*b**5/20 + b**4/4 + 3*b**2/2 - 2. Let w(q) be the second derivative of d(q). Factor w(z).
3*z*(3*z + 2)
Let a(w) = -8*w**3 + 15*w**2 - 9*w + 9. Let j(q) = -4*q**3 + 8*q**2 - 4*q + 4. Let m(v) = 4*a(v) - 9*j(v). Determine k, given that m(k) = 0.
0, 3
Let k(x) be the second derivative of -3/20*x**5 + 1/30*x**6 + 1/21*x**7 - 5*x + 1/6*x**3 + 0*x**2 - 1/12*x**4 + 0. Factor k(j).
j*(j - 1)*(j + 1)**2*(2*j - 1)
Suppose 0*g - 5*u = -5*g, -4*g + 5*u = 0. Determine s, given that 2/9*s**4 - 2/9*s - 2/9*s**2 + 2/9*s**3 + g = 0.
-1, 0, 1
Suppose -2*m + 31 = 3. What is f in -2 - 1 + 22*f - m*f + 4 + 16*f**2 = 0?
-1/4
Factor 0*t + 0 + 2/5*t**2.
2*t**2/5
Let z(r) be the first derivative of -1/24*r**6 + 1/12*r**3 - 1/20*r**5 - 1 + 0*r + 3/16*r**4 - 1/4*r**2. Let z(h) = 0. Calculate h.
-2, -1, 0, 1
Let d(f) be the second derivative of -f**5/20 - 7*f**4/12 - 7*f**3/6 - 3*f**2/2 + f. Let r be d(-6). Factor -g**3 + 4*g + 7*g**2 - 7*g**4 - g**r - 2*g.
-g*(g - 1)*(g + 1)*(7*g + 2)
Let y(q) = 4*q**4 - q**3 - 25*q**2 + 52*q - 27. Let h(i) = -4*i**4 + 24*i**2 - 52*i + 28. Let t(b) = -3*h(b) - 4*y(b). Factor t(r).
-4*(r - 2)*(r - 1)**2*(r + 3)
Let x(c) = 3*c + 5. Let z be x(-1). Let k be ((0 + 0)/(-1))/(-1). Factor 5/2*h**2 + z*h**3 + k + 1/2*h**4 + h.
h*(h + 1)**2*(h + 2)/2
Let u(k) = 5*k**3 - 5*k**2 - k. Let z(f) = 24*f**3 - 24*f**2 - 6*f. Let n(v) = -14*u(v) + 3*z(v). Suppose n(w) = 0. Calculate w.
-1, 0, 2
Let b(q) be the second derivative of 7/10*q**6 + 0*q**2 + 3*q - 1/3*q**4 + 0*q**3 + 0 + 2/5*q**5. Determine c so that b(c) = 0.
-2/3, 0, 2/7
Suppose 2*x - x - 3*f + 2 = 0, 4*x - 22 = -3*f. Factor 7*h**3 - 3*h**5 - 3*h**4 + 3*h**4 - x*h**3.
-3*h**3*(h - 1)*(h + 1)
Let x(b) = -20*b**3 - 65*b**2 - 44*b - 3. Let z(j) = j**3 + j**2 + 1. Let n(m) = 4*x(m) - 20*z(m). Suppose n(s) = 0. Calculate s.
-2, -2/5
Let m(s) be the second derivative of 7*s**4/3 + 38*s**3/3 - 12*s**2 + 23*s. Suppose m(c) = 0. Calculate c.
-3, 2/7
Let p(d) = 38*d**2 + 13*d + 7. Let l(n) = -25*n**2 - 9*n - 5. Let r = -23 - -30. Let w(g) = r*l(g) + 