5 = 4*z - 0*z, 3*k - 18 = -3*z. Let 0*v**2 - 5*v**5 + 6*v**4 - 6*v**2 + 0*v**2 + 2*v**5 + z*v = 0. Calculate v.
-1, 0, 1
Let i = 35 + -20. Let m be 3/i - (-38)/10. Factor -2/9*l**2 + 0*l + 4/9*l**3 + 0 - 2/9*l**m.
-2*l**2*(l - 1)**2/9
Let y be ((-1)/(-1)*-7)/(-1). Find l such that -3*l**2 + 0*l + y*l**2 - 16*l = 0.
0, 4
Let r(s) = -2*s. Let i be r(-1). Factor -i*t**2 + 3*t**3 - 4*t**4 - 7*t**3 - t**5 - t**3.
-t**2*(t + 1)**2*(t + 2)
Let -33*g**3 + 550*g + 125 + 24*g**3 + 29*g**3 + 205*g**2 = 0. Calculate g.
-5, -1/4
Let p(h) = h**2 + 2*h. Let w be p(-3). Let t(x) be the second derivative of 1/6*x**w - 1/20*x**5 - 1/2*x**2 + 1/12*x**4 + 0 - 2*x. Solve t(u) = 0.
-1, 1
Let l(s) be the second derivative of 4/5*s**2 + 0*s**3 - 1/10*s**4 + 0 - 1/50*s**5 + s. Factor l(a).
-2*(a - 1)*(a + 2)**2/5
Let j(b) = -b + 4. Let u be j(2). Let 11*s**2 + 4*s + u + 0 - 8*s**3 + 5*s**2 - 14*s = 0. Calculate s.
1/2, 1
Let j(b) = 18*b**3 + 35*b**2 + 21*b - 1. Let t(i) = -i**2 - i - 1. Let d(m) = -2*j(m) + 10*t(m). Let d(o) = 0. Calculate o.
-1, -2/9
Let t = 272 - 270. Factor 0*k + 1/4*k**3 + 1/4*k**t + 0.
k**2*(k + 1)/4
Factor 2/15*k**3 + 2/5*k**2 - 2/3*k + 4/15 - 2/15*k**4.
-2*(k - 1)**3*(k + 2)/15
Let -6/19*g - 8/19*g**2 + 0 - 2/19*g**3 = 0. What is g?
-3, -1, 0
Let r be 9 - -15*7/(-12). Suppose 0 - r*z - 1/4*z**2 = 0. What is z?
-1, 0
Let q be -5 + -1 + 153/198*8. Factor -q*u**4 - 4/11 + 10/11*u**3 - 18/11*u**2 + 14/11*u.
-2*(u - 2)*(u - 1)**3/11
Let j(q) be the third derivative of 0*q + 0*q**4 - 1/120*q**6 + 0 + 1/180*q**5 + 0*q**3 + 2*q**2 + 1/315*q**7. Factor j(y).
y**2*(y - 1)*(2*y - 1)/3
Determine k, given that 10/3*k**3 + 5/3*k**4 + 5/3*k**2 + 0*k + 0 = 0.
-1, 0
Let w = -277 - -3049/11. Let 0 + 4/11*d**3 + 0*d**4 - w*d - 2/11*d**5 + 0*d**2 = 0. What is d?
-1, 0, 1
Suppose -i = 2*j - 6*j - 8, -j + 1 = -i. Let p(a) = -a**4 + 7*a**3 + a**2 + a - 4. Let m(o) = 6*o**3 - 3. Let s(q) = i*m(q) + 3*p(q). Factor s(g).
-3*g*(g - 1)*(g + 1)**2
Let n(f) be the first derivative of 5*f**4/4 - 10*f**3/3 - 5*f**2/2 + 10*f - 5. Factor n(j).
5*(j - 2)*(j - 1)*(j + 1)
Let y(q) be the second derivative of q**6/25 - 4*q**5/25 + 7*q**4/30 - 2*q**3/15 + 6*q. Find s, given that y(s) = 0.
0, 2/3, 1
Let q(n) be the first derivative of -2*n**5/35 + 3*n**4/7 - 26*n**3/21 + 12*n**2/7 - 8*n/7 + 7. Factor q(w).
-2*(w - 2)**2*(w - 1)**2/7
Let p = 8 + -29. Let o = p - -21. Let o - 1/2*q**2 - 1/2*q = 0. Calculate q.
-1, 0
Let h(q) be the third derivative of 4*q**7/525 + 19*q**6/900 - 2*q**5/75 - q**4/45 - 6*q**2. Suppose h(c) = 0. Calculate c.
-2, -1/4, 0, 2/3
Let w = 12 + 0. Let j be ((-1)/(-4))/(1/w). Factor -2*r + 4/3 + 2/3*r**j + 0*r**2.
2*(r - 1)**2*(r + 2)/3
Suppose -x - 3 + 13 = 2*y, -2*y + 14 = 3*x. Let p(o) be the second derivative of 0*o**2 + 3/4*o**y + 3/20*o**5 + o**3 + 0 - 4*o. Determine i so that p(i) = 0.
-2, -1, 0
Let h(z) be the third derivative of -z**8/3192 + z**7/1995 + z**6/1140 - z**5/570 - z**2 - 43. Factor h(k).
-2*k**2*(k - 1)**2*(k + 1)/19
Factor 2 - 2*j**2 - 7*j**3 - j**3 + 6*j**3 + 2*j.
-2*(j - 1)*(j + 1)**2
Let f be (-10)/10*(-2)/1. Let c = 19 - 16. Let 2/3*o**c + 0*o + 1/3*o**4 + 0 + 1/3*o**f = 0. Calculate o.
-1, 0
Let p(l) be the third derivative of l**6/180 - l**5/15 + l**4/3 - 8*l**3/9 - 8*l**2. Determine c so that p(c) = 0.
2
Let l(a) be the second derivative of -1/20*a**5 - 1/2*a**3 + 1/2*a**2 + 1/4*a**4 + 0 - 2*a. Solve l(m) = 0 for m.
1
Let o(p) = -p**3 + 6*p**2 + p - 4. Let m be o(6). What is w in m*w**2 - w**2 + 0*w**2 - 4*w**2 + 9*w = 0?
0, 3
Let o(r) be the first derivative of -1/15*r**3 - 3 + 1/150*r**6 - 1/60*r**4 - 4*r + 0*r**2 + 1/50*r**5. Let n(m) be the first derivative of o(m). Factor n(c).
c*(c - 1)*(c + 1)*(c + 2)/5
Suppose 7*q = 3*q - 12. Let h be (-8)/10 - (-5 - q). Let h*w**3 - 2/5*w**2 + 2/5*w**5 - 6/5*w**4 + 0 + 0*w = 0. What is w?
0, 1
Let t(j) = j - 1. Let d be t(7). Let g be 5/30 - (-1)/d. Solve -g*w**2 - 2/3*w + 2/3*w**3 + 1/3 = 0.
-1, 1/2, 1
Let z be (4*(-7)/56)/(2/(-12)). Let 2*m**5 + 4/7 + 100/7*m**z + 60/7*m**4 + 30/7*m + 80/7*m**2 = 0. What is m?
-1, -2/7
Let b(o) be the second derivative of o**5/170 + 7*o**4/102 + 8*o**3/51 - 16*o**2/17 - 6*o. Factor b(t).
2*(t - 1)*(t + 4)**2/17
Let s(n) be the third derivative of 0*n - 1/3*n**3 - 1/6*n**4 + 0 + n**2 - 1/30*n**5. Factor s(b).
-2*(b + 1)**2
Let l(a) be the first derivative of -1/3*a**3 + 7/4*a**4 - 5*a + 0*a**2 + 3. Let q(d) = -4*d**3 + 2. Let z(h) = -2*l(h) - 5*q(h). Suppose z(u) = 0. What is u?
-1/3, 0
Suppose 0 = -2*i - 2*i. Suppose i = -2*j - 4*b + 12, j - 2*b = -j - 6. Let -2/3*p**3 + 2/9*p**2 + j*p + 0 - 2/9*p**5 + 2/3*p**4 = 0. Calculate p.
0, 1
Let p(u) be the second derivative of -u - 1/10*u**5 + 0*u**2 + 1/8*u**4 + 1/3*u**3 + 1/40*u**6 + 0. Let l(q) be the second derivative of p(q). Factor l(m).
3*(m - 1)*(3*m - 1)
Find b such that 0*b**2 + 2*b**5 + 7*b**3 + 3*b**3 - 4*b**2 - 26*b**4 + 18*b**4 = 0.
0, 1, 2
Let d(q) be the first derivative of 4*q**3/3 - 16*q - 9. Determine b so that d(b) = 0.
-2, 2
Let y(n) be the third derivative of 0*n**3 + n**2 - 1/120*n**6 + 0*n + 1/240*n**5 + 0 + 1/280*n**7 + 0*n**4. Suppose y(r) = 0. Calculate r.
0, 1/3, 1
Suppose -n - 4 = -2*n. Factor -3*p**5 + 4*p**n + 2*p**3 - 4*p**4 - 4*p**4 + 5*p**4.
-p**3*(p - 1)*(3*p + 2)
Factor -3/4*u**3 - 3/4*u**2 + 3/2*u**4 + 0 + 0*u.
3*u**2*(u - 1)*(2*u + 1)/4
Let t = -41/3 + 14. Factor 2/3 + t*i - 1/3*i**2.
-(i - 2)*(i + 1)/3
Suppose 3*z = 4*x - 1 + 10, 9 = 3*z. Factor x - 1/4*v**3 + 1/2*v + 1/4*v**2.
-v*(v - 2)*(v + 1)/4
Find j, given that -4 + 6 + 4*j**2 - 4 - 2 = 0.
-1, 1
Solve 2/7*l**3 + 4/7*l**2 + 2/7*l + 0 = 0 for l.
-1, 0
Suppose 3*o - 7 = -3*y + 29, 4*y - 24 = 2*o. Let b be (-8)/(-16) + (-2)/y. Factor s + s**2 + b.
(2*s + 1)**2/4
Let u = 2 + 1. Suppose -q + 1 = -u. Let -594*x**3 + 61*x**4 + 471*x**2 + 271*x**q + 12 - 132*x - 89*x**4 = 0. What is x?
2/9, 1
Suppose 4*w = -g + 31, -g + 2 - 3 = 0. Suppose 8 + 2*j + w*j**2 - 12*j - 4*j**3 + 2*j**3 - 4 = 0. What is j?
1, 2
Factor 1/4*s**4 - 1/2*s**2 + 0 + 0*s + 1/4*s**3.
s**2*(s - 1)*(s + 2)/4
Let a(o) be the third derivative of 0*o + 0*o**3 + 1/30*o**6 - 2*o**2 + 1/105*o**7 + 1/30*o**5 + 0 + 0*o**4. Determine k so that a(k) = 0.
-1, 0
Let w(m) be the first derivative of m**3 - 12*m - 3. Factor w(p).
3*(p - 2)*(p + 2)
Let m(r) = -3*r**4 + 2*r**2 - 1. Let w(a) = 10*a**4 - 6*a**2 + 3. Let v(x) = 7*m(x) + 2*w(x). Suppose v(j) = 0. What is j?
-1, 1
Let f(c) be the third derivative of -1/12*c**3 + c**2 + 0*c + 1/60*c**5 + 0 + 0*c**4 + 0*c**6 - 1/420*c**7. Factor f(x).
-(x - 1)**2*(x + 1)**2/2
Let g be 21/(-6)*(-12)/7. Let o be 1/4 - (5 - g). Determine j, given that -o*j + 1/2 - 3/4*j**2 = 0.
-2, 1/3
Let y(l) be the second derivative of 7*l**5/20 - 5*l**4/8 - l**3 + 2*l**2 + 4*l. Let a(j) be the first derivative of y(j). Factor a(h).
3*(h - 1)*(7*h + 2)
Let c be 5 - (-2 + 6/2). Suppose -9 = -4*n + 7. Solve 2*q**2 - 6*q**n + q**2 - 2 + 4*q**3 - c*q**5 + 5*q**2 = 0 for q.
-1, 1/2, 1
Let t be 2 - 7*(-8)/(-280). Let 9/5*i**2 + 0 + 6/5*i**3 - 6/5*i - t*i**4 = 0. What is i?
-1, 0, 2/3, 1
Let d(k) be the second derivative of k**5/4 + 13*k**4/12 + 2*k**3/3 - 2*k**2 + 6*k. Solve d(x) = 0 for x.
-2, -1, 2/5
Let c(g) = -g**2 + 2*g. Let w be c(0). Factor 1/5*x - 1/5*x**3 + 0 + w*x**2.
-x*(x - 1)*(x + 1)/5
Let v(l) = -7*l**3 - 12*l**2 - 12*l - 1. Let b(a) = -8*a**3 - 12*a**2 - 12*a. Let x(t) = 3*b(t) - 4*v(t). Factor x(h).
4*(h + 1)**3
Let n(s) be the first derivative of s**5/4 + 25*s**4/8 + 40*s**3/3 + 20*s**2 + 41. Factor n(j).
5*j*(j + 2)*(j + 4)**2/4
Let h(p) be the second derivative of 6*p + 11/120*p**6 + 0*p**2 - 11/48*p**4 + 7/80*p**5 + 1/12*p**3 - 3/56*p**7 + 0. Suppose h(u) = 0. Calculate u.
-1, 0, 2/9, 1
Let k(t) be the first derivative of -t**4/7 - 11*t**3/21 - 5*t**2/14 + 2*t/7 - 24. Find x such that k(x) = 0.
-2, -1, 1/4
Suppose 4*q = 13 - 1. Let a(j) = 5 - q*j + 2*j**2 + 4*j + 6*j. Let v(l) = 6*l**2 + 22*l + 16. Let p(s) = -16*a(s) + 5*v(s). Factor p(w).
-2*w*(w + 1)
Let w be (-4 - 14/(-4))*-12. Let x be (-8)/3*w/(-12). Factor -14/3*h - 8/3*h**2 + x.
-2*(h + 2)*(4*h - 1)/3
Let c(b) be the second derivative of -b**6/720 - b**5/240 + b**4/24 + b**3/6 + 2*b. Let h(n) be the second derivative of c(n). Factor h(f).
-(f - 1)*(f + 2)/2
Let v(m) be the sec