 9*p**2 - 3*p - 5. Let x(r) = -s(r) - 3*t(r). Factor x(v).
2*(v - 2)**2*(v + 1)
Let q(u) be the second derivative of -u**9/5040 + u**7/420 - u**5/40 + 7*u**4/12 - 5*u. Let j(w) be the third derivative of q(w). Factor j(g).
-3*(g - 1)**2*(g + 1)**2
What is t in -4/7*t**3 + 0*t**2 + 2/7*t**5 + 0 + 2/7*t + 0*t**4 = 0?
-1, 0, 1
Let b(i) be the first derivative of -4*i**3/5 - 9*i**2/10 + 3*i/5 + 18. Determine p, given that b(p) = 0.
-1, 1/4
Let g(z) be the third derivative of z**7/280 - z**5/80 - 12*z**2. Factor g(h).
3*h**2*(h - 1)*(h + 1)/4
Let t(l) be the second derivative of l**6/20 + 9*l**5/20 + 11*l**4/8 + 3*l**3/2 + 8*l. Factor t(w).
3*w*(w + 1)*(w + 2)*(w + 3)/2
Let w(a) be the second derivative of -2/3*a**3 + 0 + 3*a - a**2 + 1/2*a**4. Factor w(d).
2*(d - 1)*(3*d + 1)
Let f(x) be the first derivative of -x**7/105 + x**6/75 + x**5/50 - x**4/30 - 7*x - 1. Let s(c) be the first derivative of f(c). Find g such that s(g) = 0.
-1, 0, 1
Let t(w) be the first derivative of -w**7/42 + w**6/15 - w**5/20 + 8*w - 5. Let p(q) be the first derivative of t(q). Factor p(n).
-n**3*(n - 1)**2
Let c(h) be the first derivative of -h**3/3 + 39*h**2/10 + 8*h/5 - 10. Factor c(u).
-(u - 8)*(5*u + 1)/5
Let z be 497/245 + (-6)/14. Find r, given that 2/5*r**3 + z*r + 8/5*r**2 + 0 = 0.
-2, 0
Let a = -5 + 7. Determine c so that 32*c - 30*c**3 + 8 + 9*c**a - 41*c**3 + 21*c**3 + c**2 = 0.
-2/5, 1
Let n(k) be the first derivative of -2/7*k - 1 + 1/14*k**4 + 2/21*k**3 - 1/7*k**2. Suppose n(o) = 0. Calculate o.
-1, 1
Let q(h) be the third derivative of -3*h**7/245 - h**6/70 - h**5/210 - 7*h**2. Factor q(c).
-2*c**2*(3*c + 1)**2/7
Factor 2/15*g**3 + 8/15 + 2/3*g**2 + 16/15*g.
2*(g + 1)*(g + 2)**2/15
Let z(t) be the third derivative of t**7/1680 - t**6/960 - 34*t**2. Factor z(o).
o**3*(o - 1)/8
Let j(p) be the second derivative of p**5/25 - p**4/5 + 2*p**3/5 - 2*p**2/5 + 16*p. Solve j(d) = 0.
1
Let f(m) be the second derivative of 0*m**2 + 0 - 1/2*m**3 - 2*m + 1/4*m**4. Find g, given that f(g) = 0.
0, 1
Let b(c) be the third derivative of c**9/211680 + c**8/17640 + c**7/4410 + 2*c**5/15 - 2*c**2. Let t(o) be the third derivative of b(o). What is w in t(w) = 0?
-2, 0
Let q = 111/5 - 21. Factor 0*y + 0*y**2 + q*y**4 + 0 - 3/5*y**3 - 3/5*y**5.
-3*y**3*(y - 1)**2/5
Suppose -4 = -4*i + 2*i. Let o(g) = -g**2 - 8*g - 8. Let d be o(-6). Solve -m**3 + 4*m - 2*m**i - d*m + m**4 = 0.
-1, 0, 2
Suppose 0 = -3*a + 4*q - 6, 0*a + 4*a - 5 = q. Let h be (-4)/(-3) + a/3. Factor 0 + 4/3*t - 2/3*t**h.
-2*t*(t - 2)/3
Let v(g) be the second derivative of g**5/70 - g**3/21 + 12*g. What is y in v(y) = 0?
-1, 0, 1
Suppose -2*k + 3*i = -17, -34*k + 11 = -32*k - i. Solve -4/7*l**k - 2/7*l**3 + 0*l**2 - 2/7*l**5 + 0 + 0*l = 0.
-1, 0
Suppose -2*v = -5*v + 6. Suppose 5*i + 12 = -4*k, v*k - 5*i + i - 20 = 0. Factor -14*o**4 + 2*o**2 - 2*o**2 + 10*o**3 + 4*o**k.
-2*o**2*(o - 1)*(7*o + 2)
Let o(b) be the second derivative of -5*b**7/42 - 37*b**6/30 - 26*b**5/5 - 34*b**4/3 - 40*b**3/3 - 8*b**2 - 25*b. Factor o(a).
-(a + 1)*(a + 2)**3*(5*a + 2)
Let 2*l**4 + 108*l**2 - 14*l**3 - 142*l - 74*l - 106 - 10*l**3 + 268 = 0. Calculate l.
3
Let b(k) = 7*k**2 + 15*k - 6. Let y(w) = -w**2 - w - 1. Let l(d) = -b(d) - 6*y(d). Let h be l(-10). Factor 0 + 0*j - 1/3*j**h + 1/3*j**3 + 1/3*j**4 - 1/3*j**5.
-j**2*(j - 1)**2*(j + 1)/3
Let a(p) = -6*p**3 + 11*p**2 + 18*p + 23. Let m = 1 + 10. Let z(n) = -2*n**3 + 4*n**2 + 6*n + 8. Let y(o) = m*z(o) - 4*a(o). Suppose y(r) = 0. Calculate r.
-1, 2
Let t(y) = -y**3 - 11*y**2 + y + 15. Let q be t(-11). Factor 6*h**2 - 3*h + 4*h - 3*h + 2*h**3 - 2*h**q - 4.
-2*(h - 2)*(h - 1)*(h + 1)**2
Let t(c) be the second derivative of c**6/20 + 3*c**5/10 + c**4/4 - c**3 - 9*c**2/4 - 6*c. Factor t(l).
3*(l - 1)*(l + 1)**2*(l + 3)/2
Let i be (-23)/(-40) - 4/20. Let m(d) be the third derivative of 0*d - 1/40*d**6 + 2*d**2 - d**3 + i*d**4 + 0 + 0*d**5. Solve m(f) = 0 for f.
-2, 1
Let q(r) be the third derivative of r**7/140 - r**6/80 - r**5/20 - 2*r**2. Factor q(i).
3*i**2*(i - 2)*(i + 1)/2
Let r(q) = 2*q**4 - 6*q**3 - 2*q**2 + 4*q + 2. Let w(j) = -2*j**4 + 7*j**3 + 2*j**2 - 4*j - 3. Let x(u) = -3*r(u) - 2*w(u). Factor x(m).
-2*m*(m - 2)*(m - 1)*(m + 1)
Let f be (-1)/2*5*4/(-20). Determine t so that 0 - 1/2*t - f*t**2 = 0.
-1, 0
Let x(g) be the third derivative of -g**7/525 + g**6/60 - g**5/25 - g**4/15 + 8*g**3/15 + 17*g**2. Factor x(p).
-2*(p - 2)**3*(p + 1)/5
Let y(m) be the third derivative of -m**8/13440 + m**7/3360 + m**5/15 + 2*m**2. Let g(l) be the third derivative of y(l). Factor g(q).
-3*q*(q - 1)/2
Let f(m) be the second derivative of -m**5/20 + 5*m**4/12 - m**3 - 43*m. Factor f(u).
-u*(u - 3)*(u - 2)
Let q(a) be the second derivative of 5*a**7/42 - 7*a**6/6 - a**5/2 + 35*a**4/6 + 5*a**3/6 - 35*a**2/2 - 2*a + 7. Solve q(b) = 0.
-1, 1, 7
Let k be 108/(-81) + (-20)/(-6). Solve 0 - 1/4*b**3 + 1/4*b**4 + 1/4*b - 1/4*b**k = 0 for b.
-1, 0, 1
Let u(o) be the first derivative of -3*o**4/20 + o**3/5 + 3*o**2/10 - 3*o/5 + 7. Factor u(w).
-3*(w - 1)**2*(w + 1)/5
Let g(j) be the first derivative of j**5/20 + j**4/12 - j**3/6 - j**2/2 + 2*j - 3. Let c(t) be the first derivative of g(t). Determine q, given that c(q) = 0.
-1, 1
Let a(j) be the second derivative of 0*j**2 + 0 + 0*j**3 + 1/24*j**4 - 1/40*j**5 - j. Find n, given that a(n) = 0.
0, 1
Suppose 5*x - 3*c - 10 = -c, 4*c + 20 = -x. Let w be 3/(2 - 8)*x. Determine p so that 0*p - 1/4*p**4 + 1/2*p**3 + w - 1/4*p**2 = 0.
0, 1
Suppose 0*n = 2*n + 24. Let i = 12 + n. Solve -3/4*h**3 - 1/2*h**2 + i*h + 0 + 3/4*h**5 + 1/2*h**4 = 0 for h.
-1, -2/3, 0, 1
Let n(o) be the first derivative of 2/9*o**3 + 0*o - 2/15*o**5 - 1/18*o**6 + 1/6*o**2 + 1 + 0*o**4. Suppose n(y) = 0. Calculate y.
-1, 0, 1
Let a be (-78)/36*12/(-39). Suppose 5/3*r**5 + 2/3 - 10/3*r**3 + a*r**4 + 5/3*r - 4/3*r**2 = 0. What is r?
-1, -2/5, 1
Suppose -i - 106 = -3*o, o - 5*i - 47 = -7. Let r be (2/(-5))/((-56)/o). Suppose 1/2*t**2 - 1/2*t**3 - 1/4*t**4 + 1/4*t**5 - r + 1/4*t = 0. Calculate t.
-1, 1
Determine w so that 14/9*w**4 + 22/3*w**3 + 14/9*w + 26/3*w**2 - 4/3 = 0.
-3, -1, 2/7
Let q = 39781/60 - 663. Let b(y) be the third derivative of -1/24*y**4 + q*y**5 - 1/6*y**3 + 1/120*y**6 + 3*y**2 + 0 + 0*y. Let b(z) = 0. Calculate z.
-1, 1
Factor 55/2*w + 25/2 + 5/2*w**3 + 35/2*w**2.
5*(w + 1)**2*(w + 5)/2
Solve 23*p**3 + 30*p**3 - 48*p**3 + 5*p**5 - 10*p**4 = 0.
0, 1
Let j(b) = b**2 - b - 6. Let a be j(-2). Find u such that a - u - 3/2*u**2 = 0.
-2/3, 0
Let s(h) = 2*h**2 - 3*h - 13. Let b(q) = -q**2 + q + 6. Let z(j) = 14*b(j) + 6*s(j). Factor z(m).
-2*(m - 1)*(m + 3)
Let b(l) be the third derivative of -l**5/120 - l**4/16 + 8*l**2. Determine p so that b(p) = 0.
-3, 0
Let 0*q - 12 + 16*q - 20 - 2*q**2 = 0. Calculate q.
4
Suppose -7*h = -5*h. Let w(o) be the first derivative of h*o - 2 + 0*o**2 + 1/20*o**5 + 1/12*o**3 - 1/8*o**4. What is r in w(r) = 0?
0, 1
Let m(f) be the second derivative of -f**6/255 - f**5/170 + f**4/102 + f**3/51 + 17*f. Determine j, given that m(j) = 0.
-1, 0, 1
What is r in -r**2 - 40*r**3 + 37*r**3 + 0*r + 2*r = 0?
-1, 0, 2/3
Let w be (-3)/(-9) - 208/(-24). Suppose -f - f = n + w, 0 = -5*f - 25. Find m such that 31/4*m**3 - n - 4*m - 5/4*m**2 + 9/4*m**5 + 33/4*m**4 = 0.
-2, -1, -1/3, 2/3
Let 52*b**2 + 194*b + 4*b**4 - 146*b + 24*b**3 + 16 + 0 = 0. Calculate b.
-2, -1
Let h(n) be the second derivative of 9*n**6/2 + 27*n**5/2 + 15*n**4 + 25*n**3/3 + 5*n**2/2 + 9*n. Factor h(u).
5*(u + 1)*(3*u + 1)**3
Let s = 0 + 3. Let k(i) be the first derivative of 2 + 2/15*i**s + 0*i + 0*i**2. Factor k(r).
2*r**2/5
Factor -3/2*v**2 + 0 - 3*v.
-3*v*(v + 2)/2
Let m be (-1)/(2*5/(-20)). Find r, given that -56/5*r**5 - 16/5*r - 254/5*r**4 - 136/5*r**m + 0 - 348/5*r**3 = 0.
-2, -2/7, -1/4, 0
Let k(z) be the third derivative of -z**7/15120 + z**6/4320 - z**4/6 - 5*z**2. Let i(l) be the second derivative of k(l). Factor i(x).
-x*(x - 1)/6
Let j(v) be the second derivative of -v**4/84 + v**3/7 - 9*v**2/14 - 2*v. What is q in j(q) = 0?
3
Find n, given that 0*n + 0*n**2 + 0 - 3/5*n**4 - 3/5*n**3 = 0.
-1, 0
Let j be (-2)/9 + 116/36. Factor 2*v**2 - 2 - j*v + 2*v**2 - 5*v**2.
-(v + 1)*(v + 2)
Let t(u) be the third derivative of 0*u**3 - 1/300*u**6 - u**2 - 1/525*u**7 + 0*u + 0*u**5 + 0 + 0*u