 s(b) = 0. What is b?
-1, 0
Let h = 8 + -23/3. Suppose h*d + 1/6*d**2 + 1/6 = 0. What is d?
-1
Suppose m = -2*m + 9. Factor 0*y**3 - 6*y**3 + y**m + 3*y**3.
-2*y**3
Let n(c) = c**3 - 2*c - 1. Let d(q) = -q + 5. Let m be d(3). Let o be n(m). What is v in o + 7 - 2 + 14*v**2 - 32*v = 0?
2/7, 2
Let l(j) be the first derivative of 162/7*j + 6/7*j**4 + 36/7*j**3 + 108/7*j**2 + 2/35*j**5 + 6. Factor l(r).
2*(r + 3)**4/7
Let o(k) be the first derivative of 9*k**4 - 64*k**3/3 - 8*k**2 - 6. Factor o(r).
4*r*(r - 2)*(9*r + 2)
Let j be 29/9 - (-1 - (-66)/54). Factor 0 + 1/5*h**2 - 1/5*h**5 - 1/5*h**4 + 0*h + 1/5*h**j.
-h**2*(h - 1)*(h + 1)**2/5
Let a(t) be the third derivative of 1/840*t**8 + 1/150*t**6 - 2*t**2 - 1/15*t**3 + 1/175*t**7 + 0*t - 1/20*t**4 + 0 - 1/75*t**5. Factor a(b).
2*(b - 1)*(b + 1)**4/5
Let q(c) be the second derivative of -1/135*c**6 + 4*c + 0*c**2 - 1/18*c**4 - 1/27*c**3 + 0 - 1/30*c**5. Factor q(z).
-2*z*(z + 1)**3/9
Suppose 8 = 2*b + 2. Let p(h) be the second derivative of 0*h**b - 2*h + 0*h**6 + 0*h**5 + 0*h**4 - 1/63*h**7 + 0 + 0*h**2. Determine g so that p(g) = 0.
0
Let h = -1094 + 1097. What is d in 2/3*d + 2/9*d**h + 2/3*d**2 + 2/9 = 0?
-1
Let k(i) be the third derivative of i**7/10080 + i**6/1440 - i**4/24 + 2*i**2. Let l(w) be the second derivative of k(w). Determine p so that l(p) = 0.
-2, 0
Suppose -2*v - 5*t + 30 = -v, 0 = -3*v + 3*t. Factor -2/9*h**3 + 0 - 2/9*h**2 + 2/9*h**v + 0*h + 2/9*h**4.
2*h**2*(h - 1)*(h + 1)**2/9
Let f(j) be the second derivative of -j**9/1008 + j**7/140 - j**5/40 - j**3 + 6*j. Let o(x) be the second derivative of f(x). Determine r so that o(r) = 0.
-1, 0, 1
Let f(c) be the first derivative of 1/4*c**4 + 0*c - 1/2*c**2 + 0*c**3 + 1. Factor f(m).
m*(m - 1)*(m + 1)
Let -2/7*j - 2/7*j**2 + 12/7 = 0. What is j?
-3, 2
Let n(c) = -c**5 - c**4 - c**3 + c + 1. Let u(y) = 2*y**5 - 10*y**4 + 2*y**3 + 2*y + 2. Let k(a) = 2*n(a) - u(a). Determine h, given that k(h) = 0.
0, 1
Let j(s) be the third derivative of -s**9/68040 + s**7/11340 - s**4/8 + s**2. Let g(o) be the second derivative of j(o). Find x such that g(x) = 0.
-1, 0, 1
Let i = -371/10280 - 10/257. Let d = i - -49/120. Factor -d*b - 1/3*b**2 + 0.
-b*(b + 1)/3
Suppose 3 = 3*g - 6. Factor -2*v - 18*v**2 - 8*v**g - 14*v**3 + v**4 + 2 - 9*v**4.
-2*(v + 1)**3*(4*v - 1)
Let r(n) be the first derivative of -17*n**3 + 4*n + 2 + 49/4*n**4 - 12/5*n**5 + 0*n**2. Solve r(v) = 0 for v.
-1/4, 1/3, 2
Let d(j) be the first derivative of 2 - 1/6*j**3 + 1/2*j + 0*j**2. Factor d(t).
-(t - 1)*(t + 1)/2
Factor 2*q**4 - 4*q**3 - 5*q**2 + 2*q**4 - 7*q**2 + 20*q - 8.
4*(q - 1)**3*(q + 2)
Let z(a) be the second derivative of -a**7/1050 - a**6/900 + a**3/6 + a. Let t(o) be the second derivative of z(o). What is p in t(p) = 0?
-1/2, 0
Let o = 11 - 9. Let m(w) be the first derivative of -2/3*w**3 + 4*w - 1 + w**o. Find i, given that m(i) = 0.
-1, 2
Suppose 2*r**3 - 16/5*r**2 - 2/5*r**4 + 8/5*r + 0 = 0. Calculate r.
0, 1, 2
Let r(o) = -2*o**2 + 3*o - 10. Let u(t) = t**2 + 2. Let h(j) = r(j) + 3*u(j). Factor h(x).
(x - 1)*(x + 4)
Let w(p) be the first derivative of 1 + 0*p**2 + 0*p + 0*p**4 - 1/6*p**6 + 0*p**3 + 0*p**5. Factor w(z).
-z**5
Let z = -2/1307 - -1407/65350. Let s(d) be the second derivative of -z*d**5 + 0*d**2 + d + 0*d**3 - 1/15*d**4 + 0. Determine u, given that s(u) = 0.
-2, 0
Suppose 3 = -3*q - 7*r + 4*r, 3*r = -4*q. Let l be (1/2)/(q/12). Factor -1/3*j**3 + 0*j + 2/3*j**4 + 0 - 1/3*j**5 + 0*j**l.
-j**3*(j - 1)**2/3
Find b such that 0*b**4 - 4/9*b**5 + 0*b**2 + 0 - 4/9*b + 8/9*b**3 = 0.
-1, 0, 1
Solve 1/2*c + 1/2*c**2 - 1 = 0 for c.
-2, 1
Let q(n) be the second derivative of 0 + 3/10*n**3 + 1/20*n**4 + 3/5*n**2 - 7*n. Solve q(k) = 0 for k.
-2, -1
Let d(o) be the third derivative of o**6/120 - o**5/60 + o**3/6 + o**2. Let u(a) = -2*a**4 + 6*a**3 - 4*a**2 + 6. Let t(x) = 6*d(x) - u(x). Factor t(h).
2*h**2*(h - 1)*(h + 1)
Let y(c) = c**3 + 3*c**2 + c. Let q be y(-2). Find u, given that 0*u - 3*u**3 + u**3 - 2*u - 4*u**q = 0.
-1, 0
Suppose -5*b = b - 24. Solve 5*u**2 - 4 - 2*u**2 - u**2 - 3*u**2 - b*u = 0 for u.
-2
Suppose -4*s = -5*a + 2, -4*s + a + 2*a + 2 = 0. Let p = 373/3 + -123. Find b such that p*b + 2/3*b**s + 2/3 = 0.
-1
Let v be 2*13/5 + -7 + 2. Solve -6/5*d - v - 9/5*d**2 - 4/5*d**3 = 0.
-1, -1/4
Factor 8/13 - 10/13*a + 2/13*a**2.
2*(a - 4)*(a - 1)/13
Let u be 9/12 - (-1 - (-52)/48). Factor 0 - 4/3*n - 2/3*n**4 + u*n**2 + 4/3*n**3.
-2*n*(n - 2)*(n - 1)*(n + 1)/3
Let t(q) be the second derivative of -q**7/14 - q**6/10 + 3*q**5/20 + q**4/4 - q - 2. Factor t(i).
-3*i**2*(i - 1)*(i + 1)**2
Let q(s) = -s**2 - 10*s + 11. Let x be q(-11). Determine l so that 0 + 8/5*l**3 + 2/5*l**2 + 6/5*l**4 + x*l = 0.
-1, -1/3, 0
Let t(x) be the first derivative of x**6/180 - x**5/60 - x**4/6 + x**3/3 + 2. Let o(v) be the third derivative of t(v). Factor o(s).
2*(s - 2)*(s + 1)
Suppose 0 = 2*a - 13 + 1. Solve 2 + 2*c**3 - a*c + 4*c + 4*c**2 - 6*c**2 = 0.
-1, 1
Let f = 18 + -15. Let s(w) be the first derivative of 2/27*w**3 + 0*w + 0*w**2 + f. Determine p so that s(p) = 0.
0
Let d(j) = 2*j**2 - 5*j + 6. Let m be d(4). Suppose -t = -4*v - m, 4*v + 4 + 12 = 0. Factor -4/7 + 22/7*z**t + 18/7*z.
2*(z + 1)*(11*z - 2)/7
Let x(s) be the first derivative of -s**6/288 + s**5/40 - s**4/24 - s**3/3 - 5. Let i(n) be the third derivative of x(n). Factor i(c).
-(c - 2)*(5*c - 2)/4
Let x(u) be the first derivative of -2*u**5/25 + u**4/2 + 4*u**3/5 + 46. Find f such that x(f) = 0.
-1, 0, 6
Let w(k) = -k**2 - 1. Let u(n) = -4*n**2 + 4*n - 2. Let t be 8/(-7) - (-6)/42. Let a(o) = t*u(o) + 5*w(o). Factor a(l).
-(l + 1)*(l + 3)
Let i(u) = u**5 - 3*u**4 + 13*u**3 - 12*u**2 + u + 3. Let a(n) = -2*n**5 + 5*n**4 - 26*n**3 + 24*n**2 - n - 7. Let x(h) = 6*a(h) + 14*i(h). Factor x(g).
2*g*(g - 2)**2*(g - 1)**2
Find z, given that 46/5*z**2 - 8*z + 8/5 - 14/5*z**3 = 0.
2/7, 1, 2
Let h(k) be the first derivative of -k**6/2 + 18*k**5/5 - 9*k**4 + 8*k**3 + 10. Suppose h(g) = 0. What is g?
0, 2
Let c be -4 + (-96)/(-27) + 20/18. Factor 0 - 4/3*k + 2/3*k**2 + 4/3*k**3 - c*k**4.
-2*k*(k - 2)*(k - 1)*(k + 1)/3
Let b(k) be the third derivative of -k**7/1260 - k**6/45 - 4*k**5/15 - 16*k**4/9 - 64*k**3/9 - 13*k**2. What is l in b(l) = 0?
-4
Let g(u) be the first derivative of 0*u**2 + 0*u - 4/3*u**3 + 3*u**4 + 2 - 9/5*u**5. Let g(i) = 0. Calculate i.
0, 2/3
Solve 81/4*u**5 - 26*u**3 - 78*u**2 + 36*u + 207/4*u**4 - 4 = 0 for u.
-2, 2/9, 1
Let w = -3 - -8. Let l(b) = 10*b**2 + 12*b + 7. Let v(r) = -11*r**2 - 13*r - 8. Let h(o) = w*v(o) + 6*l(o). Factor h(k).
(k + 1)*(5*k + 2)
Let h(u) be the second derivative of -u**8/16800 - u**7/2100 - u**6/600 - u**5/300 + 5*u**4/12 - 5*u. Let n(f) be the third derivative of h(f). Factor n(l).
-2*(l + 1)**3/5
Let s(m) be the second derivative of m**7/21 - m**6/15 - m**5/10 + m**4/6 + 4*m. Factor s(j).
2*j**2*(j - 1)**2*(j + 1)
Let s(g) = -g**3 - 13*g**2 - 5*g + 7. Let k(m) = 4*m**2 + 2*m - 2. Let w(r) = 14*k(r) + 4*s(r). Determine q, given that w(q) = 0.
-1, 0, 2
Let g be 3/15 + -3 + 99/30. Factor -g - 7/4*i**2 - 9/4*i.
-(i + 1)*(7*i + 2)/4
Let j be (-76)/(-120)*-3 - (-2 + 0). Let g(n) be the first derivative of -3/10*n**2 + 6/25*n**5 - 2 - 2/5*n**3 + 0*n**4 + 0*n + j*n**6. Solve g(q) = 0.
-1, 0, 1
Determine a, given that -a**2 + 0 + 2*a**3 - 3/2*a**5 - 1/2*a + a**4 = 0.
-1, -1/3, 0, 1
Let u be 4/(2/(8/2)). Let l be (-1)/4 + 2/u. Solve l - 2*q - 1 + 0*q - q**2 = 0 for q.
-1
Let f(o) be the second derivative of o**7/630 + 2*o**6/45 + 8*o**5/15 - o**4/12 - 7*o. Let b(z) be the third derivative of f(z). Factor b(n).
4*(n + 4)**2
Let o(z) be the third derivative of z**6/300 - z**5/75 - z**4/20 + z**2. Solve o(i) = 0 for i.
-1, 0, 3
Let r(z) = z**4 - 4*z**3 - z**2 + 2*z. Let g(v) = -v**4 + 5*v**3 + 2*v**2 - 3*v. Let p(o) = -2*g(o) - 3*r(o). Solve p(l) = 0 for l.
0, 1
Let s(i) be the second derivative of i**4/3 + 6*i**3 + 16*i**2 - 2*i. Factor s(c).
4*(c + 1)*(c + 8)
Let w(m) be the third derivative of m**8/672 - m**7/420 - m**6/240 + m**5/120 + 4*m**2. Determine l, given that w(l) = 0.
-1, 0, 1
Let q = 254 + -1264/5. Determine d, given that q*d + 9/5 + 1/5*d**2 = 0.
-3
Let y(b) = -b**3 - 8*b**2 + 10*b + 10. Let h be y(-9). Let j(g) be the first derivative of -2/3*g**3 + 0*g - h + g*