2 + 10*q. Let r be k(-7). Factor 2*w**4 - w**4 - r*w**2 - 2 + 2 + w**3.
w**2*(w - 1)*(w + 2)
Let n(s) be the second derivative of -s**4/6 + s**2 + 37*s. Suppose n(m) = 0. Calculate m.
-1, 1
Let b(d) = -4*d**3 - 6*d**2 + 6*d - 2. Let m(q) = -q**3. Let t(l) = -2*b(l) + 12*m(l). Suppose t(u) = 0. Calculate u.
1
Let l(q) be the third derivative of -q**7/210 - q**6/24 - q**5/10 + q**4/6 + 4*q**3/3 + 23*q**2. Solve l(z) = 0 for z.
-2, 1
Find n, given that 1/5*n**3 + 0 - 1/5*n**4 + 1/5*n**2 - 1/5*n = 0.
-1, 0, 1
Let p(s) = s**3 + 28*s**2 - 300*s + 998. Let m(i) = 6*i**3 + 139*i**2 - 1500*i + 4989. Let d(b) = -4*m(b) + 22*p(b). Factor d(r).
-2*(r - 10)**3
What is u in 6/7*u - 2/7*u**3 - 4/7 + 0*u**2 = 0?
-2, 1
Let o be (-4)/24 - 4*(-3)/18. Factor -1/2 - o*v**2 - v.
-(v + 1)**2/2
Let g = -35 - -35. Suppose 0 = -2*a + 6*a - 12. Let g*v + 0 + 2/7*v**2 - 2/7*v**a = 0. Calculate v.
0, 1
Let m be (0 + -2)/(10/(-4)). Let n = -1 + 7/5. Factor 2/5*t**3 + m*t**2 + n*t + 0.
2*t*(t + 1)**2/5
Determine k, given that 12/5 - 12/5*k**3 - 3/5*k**4 - 9/5*k**2 + 12/5*k = 0.
-2, -1, 1
Let b(q) be the second derivative of q**6/10 + 23*q**5/80 + 3*q**4/16 - q**3/8 - q**2/8 - 10*q. Let b(w) = 0. What is w?
-1, -1/4, 1/3
Let h = 2794/3 - 947. Let u = -15 - h. Suppose u*o**3 + 0*o**2 - 2/3*o + 0 = 0. What is o?
-1, 0, 1
Determine p, given that -p**3 + 5*p**2 + p**3 - 10*p - 9 + p**3 + 13*p = 0.
-3, 1
Let y = -6 - -8. Factor 0*s**4 - s**3 + 2*s**3 + s**4 - s**y - s**5.
-s**2*(s - 1)**2*(s + 1)
Let c(n) = -n - 1. Let q(p) = 2*p + p**2 + 1 - 4*p**2 + 3*p**2 + p**2. Let s(t) = -2*c(t) - q(t). Factor s(h).
-(h - 1)*(h + 1)
Find c, given that 1/3*c**3 + 4/3 + c**4 - 1/3*c**5 - 7/3*c**2 + 0*c = 0.
-1, 1, 2
Let l = 481/1407 + -4/469. Factor 8/3*m - 16/3 - l*m**2.
-(m - 4)**2/3
Suppose 2*h + u - 22 = -19, 4*h - 5*u - 13 = 0. Let b be ((-1)/(-3))/((-4)/(-18)). Let -b + 0*f + 3/2*f**h = 0. What is f?
-1, 1
Let x(i) = -4*i - 5. Let q be x(-5). Suppose 5*a + 0*a = q. Factor 0*u + 1/2*u**a - 1/2*u**2 + 0.
u**2*(u - 1)/2
Suppose 5*s - m = 28, 5*m = 4*s + 2*m - 18. Factor -3 + c**3 + s*c**3 - 3*c**4 + 6*c**3 - 18*c**2 + 12*c - c**3.
-3*(c - 1)**4
Let c(u) be the second derivative of -u**7/105 + u**6/75 + 23*u. Factor c(z).
-2*z**4*(z - 1)/5
Determine q, given that -1/8*q**4 - 1/4*q**3 + 0*q**2 + 0*q + 0 = 0.
-2, 0
Let a(h) be the second derivative of -h**5/30 - 2*h**4/9 - 4*h**3/9 - 11*h. Find o such that a(o) = 0.
-2, 0
Let a(v) be the third derivative of 3/350*v**7 + 1/100*v**6 + 0 - 1/10*v**3 - 3/40*v**4 + 0*v + 1/560*v**8 + 5*v**2 - 1/50*v**5. Let a(f) = 0. Calculate f.
-1, 1
Let b = 221/660 - 3/44. Let q(y) be the third derivative of -2*y**2 + 1/600*y**6 + 0*y + 0 - 1/50*y**5 + 1/10*y**4 - b*y**3. Solve q(d) = 0.
2
Let t(z) be the third derivative of z**7/280 - z**3/6 + 2*z**2. Let r(u) be the first derivative of t(u). Find f, given that r(f) = 0.
0
Let z(n) be the second derivative of -3*n**5/20 - 3*n**4/4 - 3*n**3/2 - 3*n**2/2 + 5*n. Factor z(u).
-3*(u + 1)**3
Let o(p) be the third derivative of -p**9/60480 + p**8/26880 - p**4/8 - 3*p**2. Let v(u) be the second derivative of o(u). Solve v(m) = 0.
0, 1
Let j(b) be the first derivative of -4/7*b - 20/21*b**3 - 3/14*b**4 - 9/7*b**2 + 1. Find s such that j(s) = 0.
-2, -1, -1/3
Let l(a) be the third derivative of -a**7/42 - a**6/12 + 5*a**4/12 + 5*a**3/6 + 7*a**2. Let l(g) = 0. Calculate g.
-1, 1
Let l be (-12)/3 - (-114)/8. Let x = -10 + l. Factor -x - 1/4*v + 1/4*v**3 + 1/4*v**2.
(v - 1)*(v + 1)**2/4
Let b be 10/25 - 27/5. Let r(v) = v + 8*v**2 + 4*v + v + 4. Let x(c) = -7*c**2 - 6*c - 4. Let g(i) = b*r(i) - 6*x(i). Let g(d) = 0. What is d?
-2, -1
Let f(g) = -g**3 - 8*g**2 - 8*g - 7. Let t be f(-7). Factor -1/4*w**3 + 1/4*w**4 + 0*w - 1/2*w**2 + t.
w**2*(w - 2)*(w + 1)/4
Let i(t) = -t + 19. Let f be i(17). Factor 2/5 + 0*q + 0*q**3 + 2/5*q**4 - 4/5*q**f.
2*(q - 1)**2*(q + 1)**2/5
Let z be 18/(-63)*(-7)/1. What is j in 4*j + 1 - 5*j + 2*j**z + 3*j - j**2 = 0?
-1
Let g(o) = 3*o**3 - 4*o**2 - 2*o + 5*o**3 + 0*o**3 - 2*o**3. Let b(n) = n**3 - n**2. Let h(l) = -5*b(l) + g(l). Factor h(x).
x*(x - 1)*(x + 2)
Let b(q) = q**2 + q. Let u(r) = -r**4 + 3*r**3 - 6*r**2 - 4*r. Let s(k) = -12*b(k) - 3*u(k). Factor s(x).
3*x**2*(x - 2)*(x - 1)
Let v(g) be the second derivative of -5*g**4/108 - 7*g**3/54 - g**2/9 + 28*g. Find n, given that v(n) = 0.
-1, -2/5
Let t(h) be the second derivative of -h**4/6 - 2*h**3/33 - 5*h. Factor t(k).
-2*k*(11*k + 2)/11
Factor -4/5*k**3 - 32/5*k - 4*k**2 - 16/5.
-4*(k + 1)*(k + 2)**2/5
Let y(o) be the first derivative of 0*o**3 - 4 + 1/14*o**4 + 0*o + 0*o**2. Let y(r) = 0. Calculate r.
0
Determine q, given that 1/4*q - 1/8*q**2 + 3/8 = 0.
-1, 3
Suppose -28*c + 17*c + 44 = 0. Factor 0 + 0*y - c*y**3 + 2/3*y**2 + 6*y**4 - 8/3*y**5.
-2*y**2*(y - 1)**2*(4*y - 1)/3
Suppose -279 = -3*f - 4*s, s - 186 = -2*f - 2*s. Let o = f - 175/2. Factor 9/2*g - 1 - 3/2*g**4 + o*g**3 - 15/2*g**2.
-(g - 1)**3*(3*g - 2)/2
Let h(b) = -b + 5. Let c be h(0). Suppose -5*s + 16 = -2*u, -5*s + 31 = -c*u + 6. Let -1/2 + 7/4*o**3 - 4*o**s + 11/4*o = 0. Calculate o.
2/7, 1
Let v(u) be the third derivative of u**6/40 - u**5/20 - u**4/2 + 2*u**3 - 17*u**2. Factor v(b).
3*(b - 2)*(b - 1)*(b + 2)
Find o, given that -4/15 - 2/3*o + 2/5*o**2 = 0.
-1/3, 2
Let b(j) be the second derivative of j**7/1260 + j**6/120 + j**5/30 + j**4/3 + 2*j. Let o(v) be the third derivative of b(v). Let o(y) = 0. Calculate y.
-2, -1
Let v be 6 + -2 + 52/(-14). Suppose -2/7*b**2 + 0*b + 0 - v*b**3 = 0. What is b?
-1, 0
Let q(l) be the first derivative of l**6/3 - 16*l**5/25 + l**4/10 + 4*l**3/15 - 17. Factor q(o).
2*o**2*(o - 1)**2*(5*o + 2)/5
Let p(v) be the second derivative of -11*v**6/50 + 3*v**5/50 + 2*v + 14. Let p(t) = 0. What is t?
0, 2/11
Let c(k) be the first derivative of -3/4*k**3 - 3/16*k**4 + 3/2*k + 3/8*k**2 - 5 + 3/20*k**5. Let c(m) = 0. What is m?
-1, 1, 2
Suppose -5*q = -q - 8. Factor -t**q + 2*t**3 - 2 + 3*t**2 + 0*t**3 + 0*t - 2*t.
2*(t - 1)*(t + 1)**2
Let r(v) be the second derivative of -v**6/720 + v**5/360 + 3*v**2/2 + 3*v. Let k(x) be the first derivative of r(x). Factor k(d).
-d**2*(d - 1)/6
Let d = 2011/1040 + -7/80. Factor d*f + 16/13 + 2/13*f**3 + 12/13*f**2.
2*(f + 2)**3/13
Let o(q) be the second derivative of 1/48*q**4 + 0 - 1/4*q**2 + 3*q + 1/24*q**3. What is u in o(u) = 0?
-2, 1
Let l(f) = 36*f**4 + 50*f**3 - 164*f**2 + 100*f - 11. Let x(t) = 7*t**4 + 10*t**3 - 33*t**2 + 20*t - 2. Let o(j) = 2*l(j) - 11*x(j). What is a in o(a) = 0?
-4, 0, 1
Let t(z) be the third derivative of 5*z**8/112 + 13*z**7/70 + 9*z**6/40 - z**5/20 - z**4/4 - 9*z**2. Factor t(p).
3*p*(p + 1)**3*(5*p - 2)
Let a(g) be the second derivative of -1/168*g**7 + 5*g + 1/60*g**6 - 1/24*g**4 + 0 + 0*g**2 + 1/24*g**3 + 0*g**5. Suppose a(x) = 0. Calculate x.
-1, 0, 1
Let t(m) = 3 - 5*m**2 - 2*m + 4*m**2 + 2*m**2. Let k be t(3). Let -13*f**2 + 2*f**4 + 2*f**4 - f**5 + 17*f**2 - k*f**3 - f = 0. Calculate f.
0, 1
Let c be (3 - 16/3)*-6. Let q be (-69)/(-63) - 6/c. Factor 1/3 + 3*j**2 - 7/3*j**3 - 5/3*j + q*j**4.
(j - 1)**3*(2*j - 1)/3
Let p(v) be the second derivative of -2*v**7/105 - 3*v**6/25 - 3*v**5/25 + 11*v**4/30 + 2*v**3/5 - 6*v. What is f in p(f) = 0?
-3, -2, -1/2, 0, 1
Let l be (3/(-10))/((-63)/(-28) - 3). Factor -l*u**5 + 2/5*u + 0*u**3 + 4/5*u**4 - 4/5*u**2 + 0.
-2*u*(u - 1)**3*(u + 1)/5
Let h(t) be the second derivative of t**5/80 - 6*t. Factor h(u).
u**3/4
Let r = 5 + -6. Let u(o) = o + 1. Let l(y) be the third derivative of -y**5/60 - y**4/6 - y**3/2 - y**2. Let j(p) = r*l(p) - 3*u(p). Factor j(c).
c*(c + 1)
Suppose 0*y = -y + 6. Let v be 2/1 + (-10)/y. Suppose -1/3*h**2 + 2/3*h - v = 0. Calculate h.
1
Let b(k) = 6*k + 98. Let l be b(-16). Factor 2/7*t**l - 4/7*t + 2/7.
2*(t - 1)**2/7
Let n(f) be the first derivative of 2 + 2/3*f**3 + 9/10*f**5 - 11/8*f**4 + 3/8*f**2 - 5/24*f**6 - 1/2*f. Factor n(h).
-(h - 1)**4*(5*h + 2)/4
Let b(i) be the second derivative of i**4/4 + i**3/8 - 7*i. Suppose b(r) = 0. What is r?
-1/4, 0
Let l = -17/115 - -8/23. Factor -l*m**3 + 0 - 1/5*m**2 + 1/5*m**5 + 0*m + 1/5*m**4.
m**2*(m - 1)*(m + 1)**2/5
Let j(g) be the second derivative of g**5/60 - g**3/18 + 12*g. Factor j(f).
f*(f - 1)*(f + 1)/3
Let o(b) be the first derivative of b**4 - 10*b**3/3 