*d - 65, 4*d - 22 = 3*d + 3*l. Let z be d/2 - 7/(-14). Suppose o**3 - 7*o**3 + z*o - 10*o**3 - 3*o**4 + 18*o**2 - 7*o**4 - 8 = 0. What is o?
-2, -1, 2/5, 1
Let k(u) = -u**4 - u**3 + u**2 - 5*u + 5. Let d(w) = -w**3 + w**2 - w + 1. Let o(l) = 10*d(l) - 2*k(l). Factor o(g).
2*g**2*(g - 2)**2
Let n(g) be the second derivative of -g**8/3360 + g**7/2520 - g**4/4 + g. Let w(y) be the third derivative of n(y). Suppose w(x) = 0. Calculate x.
0, 1/2
Let r(n) be the second derivative of -n**7/12600 + n**6/1800 - n**5/600 + n**4/6 - 5*n. Let g(d) be the third derivative of r(d). Factor g(s).
-(s - 1)**2/5
Determine m, given that 1/4*m**5 - 1/2*m**3 + 0*m**2 + 0*m**4 + 1/4*m + 0 = 0.
-1, 0, 1
Let b(z) = -12*z**2 - 9*z - 5. Let f(s) = s + 1. Let y(h) = -h - 8. Let n be y(-9). Let w(u) = n*b(u) + 5*f(u). Factor w(l).
-4*l*(3*l + 1)
Factor -3/2*q**2 - 3/2 + 3*q.
-3*(q - 1)**2/2
Let s be -1*(1/3 + 14/(-6)). Let z(o) be the second derivative of 0 + 0*o**2 + 1/60*o**4 + s*o + 0*o**3. Factor z(w).
w**2/5
Let v = 129 + -129. Suppose 1/5*b**4 + 2/5*b**2 - 3/5*b**3 + 0 + v*b = 0. What is b?
0, 1, 2
Let 3*y + 3*y - y**2 - 5*y = 0. Calculate y.
0, 1
Let y(l) be the second derivative of 1/40*l**6 + 0 + 0*l**3 + 0*l**5 + 3/8*l**2 - 1/8*l**4 - 10*l. Suppose y(q) = 0. What is q?
-1, 1
Let z(g) = 8*g**3 - 12*g**2 - 8*g + 10. Let d(p) = -p - 8. Let l be d(-9). Let j(y) = y**3 + y + 1. Let o(t) = l*z(t) - 10*j(t). Factor o(v).
-2*v*(v + 3)**2
Suppose 2*u - 12 = -c, c + 3*c = -5*u + 36. Factor -16/7*h**c + 2*h**3 + 0 + 6/7*h**5 - 4/7*h**2 + 0*h.
2*h**2*(h - 1)**2*(3*h - 2)/7
Factor -2/17*m**2 - 2/17 - 4/17*m.
-2*(m + 1)**2/17
Let j be 76/(-12) - 4/(-6). Let q = j + 37/6. Factor 0 + q*o**2 + 0*o.
o**2/2
Let c(n) = -6*n**3 - 17*n**2 - 11*n + 5. Let k(u) = 3*u**3 + 8*u**2 + 5*u - 2. Let t(i) = -2*c(i) - 5*k(i). Let t(a) = 0. What is a?
-1, 0
Let z(f) = f - 4. Let j be z(9). Let k(w) be the second derivative of -1/9*w**4 - 1/3*w**2 + w + 5/18*w**3 + 1/60*w**j + 0. Suppose k(p) = 0. Calculate p.
1, 2
Let t(s) be the third derivative of -s**8/112 + s**7/35 - s**6/40 + 3*s**2. Factor t(p).
-3*p**3*(p - 1)**2
Let w(r) = r**2 + 3*r. Let c be w(-3). Factor 1/5*k**4 + 0 + 0*k**2 + 0*k**3 + 1/5*k**5 + c*k.
k**4*(k + 1)/5
Let l be (2 - -1) + -3 - (-10 + 5). Determine g so that 5/6*g**3 + 1/3*g - 7/6*g**l - 3/2*g**2 + 3/2*g**4 + 0 = 0.
-1, 0, 2/7, 1
Let d(w) be the second derivative of w**9/60480 - w**4/4 + w. Let p(o) be the third derivative of d(o). Factor p(l).
l**4/4
Let h(x) be the first derivative of 0*x - 1 - 1/24*x**6 + 0*x**5 + 0*x**3 - 1/8*x**2 + 1/8*x**4. Factor h(f).
-f*(f - 1)**2*(f + 1)**2/4
Let n = 1261/20 + -63. Let a(l) be the second derivative of -3/40*l**5 + 1/8*l**4 + 0*l**2 - n*l**6 + 1/4*l**3 - 3*l + 0. Determine j, given that a(j) = 0.
-1, 0, 1
Factor -8*c - 3*c**2 + 0*c + 5*c + 0*c.
-3*c*(c + 1)
Let i be 3/7 + (12 - (-2070)/(-175)). Determine w so that -i*w**2 + 0 + 1/5*w = 0.
0, 1/3
Let j(b) = -b**3 + 6*b**2 + b - 6. Let s be j(6). Find u such that -2/7*u**2 + 4/7*u - 2/7*u**3 + s = 0.
-2, 0, 1
Let m(p) be the third derivative of -11/735*p**7 - 1/210*p**5 + p**2 + 0*p + 1/294*p**8 + 0*p**3 - 1/84*p**4 + 3/140*p**6 + 0. Factor m(g).
2*g*(g - 1)**3*(4*g + 1)/7
Factor -1/4*j**2 - 3/4 - j.
-(j + 1)*(j + 3)/4
Suppose 4*f - 5*n = -68, -n + 52 = -3*f + 3*n. Let s be (-3)/f - (-26)/24. Factor -s*q**3 + 2/3*q + 1/3*q**2 - q**4 + 0.
-q*(q + 1)**2*(3*q - 2)/3
Let c = 3/112 - -97/560. Factor -c*n**2 - 2/5*n - 1/5.
-(n + 1)**2/5
Solve 8/13*u**4 + 16/13 - 8/13*u + 2/13*u**3 - 20/13*u**2 + 2/13*u**5 = 0 for u.
-2, 1
Let w = 227 + -1811/8. Let j = w + -1/8. Factor 1/4*c**3 - j*c + 0 + 1/4*c**2.
c*(c - 1)*(c + 2)/4
Let c be 4 + -5 + (6 - (-6)/(-2)). Determine a so that -5/6*a**3 + 0 + 7/6*a**c - 1/3*a = 0.
0, 2/5, 1
Let a(i) be the first derivative of 5/12*i**3 + 3/4*i - i**2 + 8. Determine q so that a(q) = 0.
3/5, 1
Let w(f) be the second derivative of -f**4/8 - f**3/4 + 3*f**2/2 - 5*f. Factor w(r).
-3*(r - 1)*(r + 2)/2
Let q(p) = 10*p - 70. Let x be q(7). Factor x*k + 2/5 - 2/5*k**2.
-2*(k - 1)*(k + 1)/5
Let n be (4964/18)/(14/(-21)). Let c = -409 - n. Factor c*o**2 + 98/9*o**3 + 8/9 - 16/3*o.
2*(o + 1)*(7*o - 2)**2/9
Let z = -29 + 117/4. Let d(r) be the first derivative of -1/10*r**5 - 1/6*r**3 + 0*r**2 + 2 - z*r**4 + 0*r. Factor d(p).
-p**2*(p + 1)**2/2
Let w be 1 + -4 + 0 + 2. Let q(z) = -z**2 + 2*z + 5. Let h(j) = 5. Let y(o) = 11. Let u(r) = 9*h(r) - 4*y(r). Let c(a) = w*q(a) + 5*u(a). Factor c(t).
t*(t - 2)
Let f(a) be the third derivative of -a**6/120 + 2*a**5/15 + 5*a**4/12 - 7*a**3/6 - 3*a**2. Let b be f(9). Solve 7*w - 11*w - w**2 - b - w**2 = 0 for w.
-1
Let c(r) be the first derivative of 0*r**3 + 2*r - 2/5*r**5 + r**4 - 3 - 2*r**2. Factor c(g).
-2*(g - 1)**3*(g + 1)
Determine q, given that 3/8*q**2 + 0 + 0*q + 0*q**3 - 3/8*q**4 = 0.
-1, 0, 1
Factor -2*u**3 - 5*u**3 + 2*u**3.
-5*u**3
Let y(k) be the second derivative of -3*k**5/40 - k**4/4 - k**3/4 - 8*k. Factor y(l).
-3*l*(l + 1)**2/2
Factor 3 - 2*r + 1/3*r**2.
(r - 3)**2/3
Let j(k) be the first derivative of k**4/18 + k**3/3 + 2*k**2/3 - 4*k + 4. Let n(i) be the first derivative of j(i). Factor n(b).
2*(b + 1)*(b + 2)/3
Let i(y) be the second derivative of 0 + 5*y + 0*y**2 - 1/12*y**4 - 1/3*y**3 + 1/20*y**5. Suppose i(a) = 0. What is a?
-1, 0, 2
Let u(h) be the second derivative of -h**6/60 + h**5/30 + h**4/12 - h**3/3 - 3*h**2/2 - h. Let c(g) be the first derivative of u(g). Solve c(w) = 0.
-1, 1
Let z(a) be the first derivative of -a**4/16 + a**3/12 + a**2/8 - a/4 + 11. Let z(i) = 0. What is i?
-1, 1
Factor -1/4*i**2 - 1/2 - 3/4*i.
-(i + 1)*(i + 2)/4
Let h(n) be the third derivative of -n**6/180 - n**5/10 - 3*n**4/4 - 3*n**3 + 6*n**2. Factor h(t).
-2*(t + 3)**3/3
Let c(j) be the third derivative of j**6/60 - 7*j**5/150 - 2*j**4/15 + 4*j**3/15 + 8*j**2. Factor c(l).
2*(l - 2)*(l + 1)*(5*l - 2)/5
Let x(j) be the first derivative of -j**8/840 + j**7/210 - j**5/30 + j**4/12 - 4*j**3/3 - 6. Let p(a) be the third derivative of x(a). What is w in p(w) = 0?
-1, 1
Let l(b) be the third derivative of -b**9/37800 + b**7/6300 - b**4/24 + 3*b**2. Let z(o) be the second derivative of l(o). Factor z(p).
-2*p**2*(p - 1)*(p + 1)/5
Let s = 11 + -7. Factor -6*c - 11*c**2 - 1 - 6*c**5 + 14*c**5 - 2*c**4 + 14*c**s - 2*c**3.
(c - 1)*(c + 1)*(2*c + 1)**3
Let t(s) = 11*s - 27*s**2 + 5 + 6*s**2 + 8*s**3 + s. Let x(l) = 7*l**3 - 20*l**2 + 12*l + 6. Let f(d) = 2*t(d) - 3*x(d). Factor f(o).
-(o - 2)**2*(5*o + 2)
Suppose 3/2*i**4 - 21/2*i**2 + 9 - 15/2*i + 15/2*i**3 = 0. Calculate i.
-6, -1, 1
Let j(t) be the first derivative of -12*t**5/5 + 4*t**4 + 4*t**3/3 - 4*t**2 + 5. Suppose j(a) = 0. What is a?
-2/3, 0, 1
Let t(w) be the third derivative of -w**7/42 + w**6/8 + w**5/3 + 5*w**2 - 5*w. Factor t(c).
-5*c**2*(c - 4)*(c + 1)
Let w(n) = -n**2 + n. Let t(s) = 2*s. Let u(v) = t(v) + 2*w(v). Factor u(j).
-2*j*(j - 2)
Let v(t) be the second derivative of -t**6/5 - t**5/5 + 7*t**4/6 - 2*t**3/3 + 12*t. Factor v(q).
-2*q*(q - 1)*(q + 2)*(3*q - 1)
Let b(k) be the second derivative of k**6/150 - k**5/100 - k**4/60 + k**3/30 + 11*k. Factor b(g).
g*(g - 1)**2*(g + 1)/5
Determine l so that -3*l**3 - 33*l**2 - 9*l + 24*l**2 + 21*l**2 = 0.
0, 1, 3
Let l(d) = 2*d**2 - 14*d - 2. Let s be l(6). Let j = s + 14. Factor j - 1/4*i**2 + 1/4*i.
-i*(i - 1)/4
Let d(z) be the third derivative of z**8/13440 + z**7/1680 + z**6/480 + z**5/240 - z**4/24 - z**2. Let u(r) be the second derivative of d(r). Factor u(s).
(s + 1)**3/2
Suppose -40*y + 3 = -77. Factor -k + 1/2*k**y - 2 + 1/4*k**3.
(k - 2)*(k + 2)**2/4
Let b = 7 + -5. Suppose -b*r + 8 = 6*n - n, 2*n = 0. Factor -3*h - 3*h**3 - 5*h - 12*h**2 - r*h.
-3*h*(h + 2)**2
Let w(s) = -s + 2. Suppose 0 = -3*p + 6*p - 12, -5*p + 20 = 2*u. Let q be w(u). Suppose 0*r + 0 + 1/2*r**4 - r**3 + 1/2*r**q = 0. Calculate r.
0, 1
Determine c so that -20*c**4 + 7*c**3 + 8*c + 24*c**4 - c**3 - 2*c**5 - 16*c**2 = 0.
-2, 0, 1, 2
Let c be 5/3*(-6)/(-15). Factor c - 4/3*z + 2/3*z**2.
2*(z - 1)**2/3
Suppose -2/9*h**2 - 8/9*h - 2/3 = 0. Calculate h.
-3, -1
Suppose -3 - 6*i**4 + 0*i**2 - 26*i**3 + 7 + 8*i**5 + 2*i**2 + 18*i = 0. What is i?
-1, -1/4, 1, 2
Let h = -46 + 48. Factor 0 + 6*s**2 + 9/2*s**3 + h*s.
s*(3*s + 2)**2/2
Let n(h) be th