**4 + l**t + 0 - 1/3*l**3 + 3/20*l**5 + 0*l. Factor v(h).
(h + 1)*(9*h - 2)
Let s(t) be the third derivative of -t**6/240 + t**4/16 - t**3/6 - 15*t**2. Factor s(d).
-(d - 1)**2*(d + 2)/2
Suppose -22 = -i - 2*v, -4*i + 57 = 4*v - 47. Let z be -4 - i/(-9) - -1. Solve -1/3*q**3 + 0 - z*q**2 + 0*q = 0.
-1, 0
Let a(v) = -33*v + 102. Let s be a(3). Let i be (0 - (-1)/(-1))*0. Determine x, given that 0 + 2/9*x**4 + 0*x + 0*x**s + i*x**2 - 2/9*x**5 = 0.
0, 1
Let l(q) be the third derivative of -q**7/210 + q**6/120 + q**5/60 - q**4/24 - 3*q**2. Factor l(u).
-u*(u - 1)**2*(u + 1)
Let w(y) be the third derivative of y**7/105 + y**6/6 + 4*y**5/5 - 5*y**4/6 - 25*y**3/3 + 2*y**2. Suppose w(k) = 0. What is k?
-5, -1, 1
Let w(x) be the third derivative of 2/9*x**3 + 1/36*x**4 - x**2 + 0*x + 0 - 1/90*x**5. Factor w(z).
-2*(z - 2)*(z + 1)/3
What is u in 3/5*u**2 + 54/5*u + 243/5 = 0?
-9
Let b(m) = 10*m**2 + 19*m + 9. Let r(v) = v**2 + v + 1. Suppose 3*x - 5*x - 4*p - 16 = 0, -5*x - 35 = 5*p. Let g(z) = x*r(z) + b(z). Find c such that g(c) = 0.
-3, -1/4
Let g(d) be the first derivative of d**4 - 4*d**3 + 4*d**2 - 9. Find t such that g(t) = 0.
0, 1, 2
Let r = 19 + -5. Let 0*a - r*a**4 - 6*a**3 + 16*a**4 + 0*a + 4*a**2 = 0. What is a?
0, 1, 2
Let b(k) be the first derivative of -7/10*k**5 + 3*k - 1/3*k**4 + 1 + 2*k**2 + 7/3*k**3. Let i(s) be the first derivative of b(s). Factor i(r).
-2*(r - 1)*(r + 1)*(7*r + 2)
Let g(k) = -k**5 + k**3 - 1. Let x(r) = 7*r**5 - 2*r**4 - 8*r**3 + 2*r**2 + r + 8. Let n(m) = 24*g(m) + 3*x(m). Factor n(v).
-3*v*(v - 1)*(v + 1)**3
Let 5/4*w**4 - 13/4*w**3 - 1/2 + 1/4*w + 9/4*w**2 = 0. Calculate w.
-2/5, 1
Let q = -12 - -11. Let p be -3 - (0 - 2) - q. Suppose p + 1/4*g**2 - 1/4*g = 0. What is g?
0, 1
Let z(v) be the first derivative of 4*v**3/3 + 10*v**2 + 24*v + 63. Factor z(m).
4*(m + 2)*(m + 3)
Let x(a) be the second derivative of 3*a**5/20 - a**3/2 + 8*a. Solve x(w) = 0 for w.
-1, 0, 1
Factor 2 + 1682*b**3 + 398*b - 1592*b**2 - 322*b**2 - 10 - 158*b.
2*(b - 1)*(29*b - 2)**2
Let u(q) = -q**3 + 3*q**2 - 3*q. Let y be -7 - (-3 + 3) - -1. Let f(g) = 2*g**3 - 5*g**2 + 5*g. Let p(j) = y*f(j) - 10*u(j). Factor p(b).
-2*b**3
Let k(z) be the second derivative of -z**5/4 - 25*z**4/12 - 10*z**3/3 - 34*z. Factor k(r).
-5*r*(r + 1)*(r + 4)
Suppose 4*g - 6 = 6. Let l be (-57)/(-38)*(g - 1). Factor 0 + l*m**2 - 3/2*m**3 - 3/2*m.
-3*m*(m - 1)**2/2
Find s such that 9 + 1 - 15*s + 0*s**2 + 15*s**2 - 10*s**2 = 0.
1, 2
Suppose -144/11 + 4*j**2 + 120/11*j - 2*j**3 + 2/11*j**4 = 0. What is j?
-2, 1, 6
Let n(c) = c**2 - c + 1. Let a(h) = -3*h**3 - 4*h**2 + 12*h - 2. Let v(y) = -y - 1. Let m(g) = a(g) + 4*v(g). Let z(f) = -m(f) - 5*n(f). Factor z(w).
(w - 1)*(w + 1)*(3*w - 1)
Let k(q) = -6*q**3 + 6*q**2 - 8*q. Let u(h) = -4*h**3 + 4*h**2 - 5*h. Suppose 2*n + 8 = -2*w, 3*n + 3*w - 28 = 8*n. Let c(j) = n*k(j) + 8*u(j). Solve c(t) = 0.
0, 1
Suppose 50 = -3*s + 8*s. Factor s*q**4 - 2*q + 3*q**2 + q**3 + 0*q**3 + q**5 - 13*q**4.
q*(q - 2)*(q - 1)**2*(q + 1)
Suppose 4*y - 4*j - 24 = 0, -2*j - 4 = -3*y + 14. Factor 9*m - m + 4*m**2 - 8 - y*m**2.
-2*(m - 2)**2
Let m(h) be the first derivative of -3*h**3 + h**3 - 9*h + 3*h**3 + 3 + 3*h**2. Suppose m(b) = 0. Calculate b.
-3, 1
Factor 2*a**2 - 6*a**2 + 3*a - 1 + 2*a**2.
-(a - 1)*(2*a - 1)
Let j(k) = -k - 1. Let l be (2 - 3) + 8/(-2). Let z be j(l). Suppose 0*c**z + 3*c**4 - c**3 - c**5 - c**4 = 0. What is c?
0, 1
Factor -2*o**2 - 7/10*o**4 - 9/5*o**3 + 0 - 1/10*o**5 - 4/5*o.
-o*(o + 1)*(o + 2)**3/10
Let c(s) = -s**2 + 5*s + 3. Let j be c(5). Let o = 6 - j. Factor 2/5*v**o - 2/5*v**2 + 0 + 2/5*v**4 + 0*v - 2/5*v**5.
-2*v**2*(v - 1)**2*(v + 1)/5
Let c = 2/9 - -10/9. Find q, given that -2/3*q**4 - c*q**3 + 4/3*q + 2/3 + 0*q**2 = 0.
-1, 1
Let b be 4/(8/6) - 3. Factor b - 6/7*l**2 - 2*l**4 + 4/7*l - 24/7*l**3.
-2*l*(l + 1)**2*(7*l - 2)/7
Let r be (-4)/(-6)*(-138)/(-23). Let n(y) be the second derivative of 1/50*y**5 + 0 - 1/105*y**7 + 0*y**r + 0*y**6 + 0*y**3 + 0*y**2 + 2*y. Factor n(b).
-2*b**3*(b - 1)*(b + 1)/5
Let l(b) be the first derivative of b**3 - 19*b**2/2 - 14*b - 39. Factor l(n).
(n - 7)*(3*n + 2)
Suppose -f + 2*f + 2 = 2*q, 2*f - 5*q + 7 = 0. Factor 4/17*w**2 - 2/17*w**f + 2/17*w**3 + 0 + 0*w.
-2*w**2*(w - 2)*(w + 1)/17
Let g be (7 - -20) + (0 - 3). Let k be (-2)/6 - (-20)/g. Factor -1/2*c + 3/2*c**2 + 0 - 3/2*c**3 + k*c**4.
c*(c - 1)**3/2
Let f = 11/14 - -23/42. Factor -f*z + 1/3*z**2 + 4/3.
(z - 2)**2/3
Let a(o) be the third derivative of o**5/45 + o**4/72 + 2*o**2 + 23*o. What is q in a(q) = 0?
-1/4, 0
Let t(j) = -j**2 - j - 1. Let x(k) = 12*k**3 + 48*k**2 + 36*k - 12. Let n(f) = 4*t(f) + x(f). Suppose n(u) = 0. What is u?
-2, 1/3
Let v(c) = 6*c**4 - 9*c**3 + 9*c**2 - 6*c - 3. Let q(g) = 7*g**4 - 9*g**3 + 9*g**2 - 7*g - 4. Let x(w) = -3*q(w) + 4*v(w). Factor x(l).
3*l*(l - 1)**3
Let d(n) be the third derivative of n**8/168 - 4*n**7/105 + n**6/12 - n**5/15 - 2*n**2. Factor d(a).
2*a**2*(a - 2)*(a - 1)**2
Let h(t) = -4*t. Let g be h(-1). Let v be 6/4 + -3 + (-14)/(-4). Factor b**3 - b**5 - 3*b - b**2 + v*b + b + b**g.
-b**2*(b - 1)**2*(b + 1)
Let f(k) be the second derivative of 9*k**5/40 - 11*k**4/24 - 4*k**3/3 + k**2 - 14*k. Factor f(m).
(m - 2)*(m + 1)*(9*m - 2)/2
Let s(f) be the second derivative of f**6/135 + 8*f**5/15 + 16*f**4 + 256*f**3 + 2304*f**2 + 39*f. What is w in s(w) = 0?
-12
Let f(z) = -4*z**3 + z**2 + 2*z - 3. Let w(d) = -7*d**3 + 2*d**2 + 4*d - 5. Let g(m) = 5*f(m) - 3*w(m). Solve g(h) = 0 for h.
-1, 0, 2
Let p(v) be the second derivative of 2*v**6/15 - 2*v**5/5 + v**4/3 + 4*v. Solve p(y) = 0 for y.
0, 1
Let k be -5 - -3*(4 + -3). Let c be 42/(-70)*5/k. Factor c*g**2 - 3/2*g + 3/2*g**3 + 0 - 3/2*g**4.
-3*g*(g - 1)**2*(g + 1)/2
Let g(o) = o**3 - 8*o**2 + 7*o + 2. Let z be g(7). Factor 0*s**2 + 2*s**z + 2*s**3 - s**2 + s**4.
s**2*(s + 1)**2
Let z(l) = 2*l. Let h be z(0). Let f(v) be the first derivative of h*v**2 - 2/21*v**3 + 2/7*v - 1. Suppose f(n) = 0. Calculate n.
-1, 1
Let g(m) be the second derivative of m**5/270 - m**3/27 + m**2 - m. Let i(u) be the first derivative of g(u). Let i(h) = 0. Calculate h.
-1, 1
Let w(s) be the third derivative of s**5/240 - s**4/32 - 8*s**2. Factor w(h).
h*(h - 3)/4
Let a(o) be the first derivative of -o**4/16 - 4*o**3/3 - 8*o**2 + 33. Factor a(p).
-p*(p + 8)**2/4
Let t(v) be the first derivative of 0*v**2 + 0*v**6 + 0*v**3 - v + 1/80*v**5 - 1/168*v**7 - 1 + 0*v**4. Let l(c) be the first derivative of t(c). Factor l(u).
-u**3*(u - 1)*(u + 1)/4
Let x = 49 - 195/4. Let b = -3/4 - -5/4. Determine m so that 1/4 - b*m + x*m**2 = 0.
1
Let c(g) be the third derivative of g**6/1080 + g**5/90 + g**4/18 + g**3/2 - g**2. Let s(m) be the first derivative of c(m). Factor s(r).
(r + 2)**2/3
Let u(g) be the first derivative of -g**5/40 + g**4/16 + g**3/8 - g**2/4 - g/2 - 16. Suppose u(f) = 0. Calculate f.
-1, 2
Let x = 26 + -24. Suppose 3*l = x*z - 12 - 7, l = 2*z - 9. Determine h, given that -1/2*h**3 + 1/2*h**z + 0 + 0*h = 0.
0, 1
Suppose 5*m - 19 = -10*g + 8*g, 1 = 3*m - 4*g. Factor 0*d + 1/7*d**5 + 3/7*d**4 + 0 + 1/7*d**2 + 3/7*d**m.
d**2*(d + 1)**3/7
Let t = -39 - -235/6. Let m(l) be the second derivative of 1/12*l**4 + t*l**3 - l + 0 + 0*l**2. Solve m(g) = 0.
-1, 0
Let s = -28 + 32. Let f(u) be the second derivative of -1/6*u**3 + 0 - 1/30*u**6 - 2*u - 3/20*u**5 + 0*u**2 - 1/4*u**s. Factor f(g).
-g*(g + 1)**3
Let m(b) = b**2 + 28*b + 27. Let s be m(-27). Determine p so that -14/3*p**2 + s - 4/3*p = 0.
-2/7, 0
Let g(h) be the first derivative of 3*h**5/20 + 9*h**4/8 + 9*h**3/4 + 3*h**2/2 + 37. Factor g(v).
3*v*(v + 1)**2*(v + 4)/4
Let q(z) be the second derivative of -z**5/180 + z**4/36 + z**3/54 - z**2/6 - 13*z. Determine i, given that q(i) = 0.
-1, 1, 3
Let l(k) be the first derivative of 1 - 9/5*k**5 - 7/4*k**4 + 0*k + 0*k**2 + 2/3*k**3. What is h in l(h) = 0?
-1, 0, 2/9
Let h(o) be the second derivative of -1/3*o**2 - 1/9*o**4 + 5/18*o**3 + 1/60*o**5 + 0 - 7*o. Suppose h(i) = 0. What is i?
1, 2
Let s be 3/(-2) + (-2)/(24/(-42)). Determine u so that 4/11*u**s - 2/11*u - 2/11*u**3 + 0 = 0.
0, 1
Let h = 4672/9 - 518. Factor -2/9*c**5 + 16/9*c + 0 - 4/3*c**3 - h*c**4 + 8/9*c**2.
-2*c*(c - 1)*(c + 2)**3/9
Let r = -118 + 125. Let t(w) be the first derivative of 5/2