 = 0. What is w?
-1, 0
Let j(p) = -35*p**3 + 36*p**2 + 10*p + 11. Let d(h) = 7*h**3 - 7*h**2 - 2*h - 2. Let n(y) = -11*d(y) - 2*j(y). Find c such that n(c) = 0.
-2/7, 0, 1
Suppose 4 + 6 = -5*s. Let v be (-36)/(-77) + s/11. Find l, given that 0*l - v*l**2 + 2/7 = 0.
-1, 1
Let n(h) be the third derivative of -h**6/60 - h**5/10 - h**4/4 - h**3/3 + 7*h**2. Determine x so that n(x) = 0.
-1
Let p(l) be the second derivative of -l**6/15 - 2*l**5/5 - 4*l. Determine u so that p(u) = 0.
-4, 0
Let i(n) be the second derivative of n**5/80 + n**4/48 - n**3/24 - n**2/8 + 19*n. Let i(m) = 0. What is m?
-1, 1
Let o(t) = -t**2 + t - 1. Let w(l) = 7*l**2 + 28*l + 27. Let x(j) = 2*o(j) + w(j). Factor x(r).
5*(r + 1)*(r + 5)
Let k(j) = j**4 - j**3 - 24*j**2 + 16*j. Let b(r) = -10*r**4 + 10*r**3 + 215*r**2 - 145*r. Let t(q) = 4*b(q) + 35*k(q). Solve t(a) = 0.
-2, 0, 1, 2
Let h be 512/24*3/2. Let s be 8/(-20) + h/30. Factor s*r**2 + 1/3*r**5 + 4/3*r**3 - 4/3*r**4 + 2/3 - 5/3*r.
(r - 2)*(r - 1)**3*(r + 1)/3
Let t(s) be the second derivative of -4*s**2 + 0 - 4/3*s**3 - 1/6*s**4 + 3*s. Determine r so that t(r) = 0.
-2
Let m(k) be the third derivative of 0*k**4 - 1/735*k**7 - 1/21*k**3 + 2*k**2 + 0*k + 1/105*k**5 + 0 + 0*k**6. Solve m(x) = 0 for x.
-1, 1
Suppose 5 - 36 = -3*r + 5*j, 3*r - 11 = j. Determine x so that -x**4 + 4*x**r - x**3 - 4*x**2 = 0.
-1, 0
Let v(h) be the second derivative of h**7/840 + h**6/60 + 3*h**5/40 - 5*h**4/6 + 5*h. Let d(q) be the third derivative of v(q). Find z such that d(z) = 0.
-3, -1
Let g(c) be the third derivative of -1/75*c**5 - 1/60*c**6 + 2/15*c**3 + 1/12*c**4 + 0 + 0*c + 2*c**2. Let g(h) = 0. What is h?
-1, -2/5, 1
Solve 2/7*a**3 - 4/7*a**2 - 2/7*a + 4/7 = 0 for a.
-1, 1, 2
Let c(i) = i**3 - 3*i**2 - 3*i - 4. Let s be c(5). Suppose 0 = -2*r + f + 3, r + 4*f + 7 = s. Factor -3*m**2 - m**4 + 3*m**3 + m + 3*m**4 - 3*m**r.
-m*(m - 1)**3
Let d = -29 + -7. Let b = d - -254/7. Solve 0 + 2/7*m + 2/7*m**2 - 2/7*m**4 - b*m**3 = 0.
-1, 0, 1
Let a(u) be the first derivative of -8/21*u**3 + 0*u**2 + 0*u - 2/21*u**6 + 3/7*u**4 + 1 + 0*u**5. Factor a(m).
-4*m**2*(m - 1)**2*(m + 2)/7
Let n = -4 - -7. Suppose 4 = n*w - w. Factor 0*i**2 + 2*i**2 + i**2 - w*i**2 - 2*i.
i*(i - 2)
Let f be 4 - (0 - 0) - -1. Solve 0*z**4 + 0*z**4 + 0*z**4 + z**3 - z**f = 0 for z.
-1, 0, 1
Determine w so that 9*w**3 + 0*w**5 - 2*w**4 + 3*w**5 - 7*w**4 - 3*w**2 = 0.
0, 1
Let v(i) be the second derivative of -i**6/180 - i**5/10 - 3*i**4/4 - 3*i**3 - 27*i**2/4 - 5*i. Factor v(h).
-(h + 3)**4/6
Let k be -2 + (2 - -3) - (4 - 1). Suppose 4/5*b**2 - 2/5*b**4 + k + 0*b + 2/5*b**3 = 0. What is b?
-1, 0, 2
Let z = -21/5 + 68/15. Solve 1/3*x**2 + z*x - 1/3 - 1/3*x**3 = 0 for x.
-1, 1
Let v be 144/324*6/8. Factor -2/3*y**3 + 0 - y**2 - v*y.
-y*(y + 1)*(2*y + 1)/3
Suppose 2*u = 5*x - 32, -4*x + 9 = -3*u - 18. Factor -2*w**3 - x*w**4 + 3*w + 3*w**4 + 3*w**2 + 0*w - w**3.
-3*w*(w - 1)*(w + 1)**2
Let d = 930846 - 10230102/11. Let g = d + -836. Factor 4/11*b**3 + 2/11*b**4 + g - 6/11*b**2 - 8/11*b.
2*(b - 1)**2*(b + 2)**2/11
Factor -18*k**2 + 22*k**3 - 10*k**2 + 8*k - 10*k**3.
4*k*(k - 2)*(3*k - 1)
Let n(g) = g**3 + 21*g**2 - 20*g + 47. Let k be n(-22). Let 13/6*w**k - 1/6*w + 0 - 2*w**5 - 1/6*w**4 + 1/6*w**2 = 0. What is w?
-1, -1/3, 0, 1/4, 1
Let q(t) = 2*t**2 - t - 3. Let d(j) = -j**2 + j + 1. Let h(p) = 6*d(p) + 2*q(p). Determine c, given that h(c) = 0.
0, 2
Let a be 4 - (-3)/((-9)/6). Suppose 13 = 3*v + r - 3, -4*v + a*r = -8. Find d, given that 5*d**3 - 3*d + 5*d**4 + 12*d**2 - 2*d**3 - 17*d**v = 0.
-1, 0, 1/4, 1
Let s(v) be the third derivative of -v**6/240 + v**5/80 - v**3/3 + 3*v**2. Let b(r) be the first derivative of s(r). Factor b(i).
-3*i*(i - 1)/2
Let v(j) be the third derivative of -j**7/105 + 7*j**6/60 - 13*j**5/30 - j**4/4 + 6*j**3 + 2*j**2 + 11*j. Solve v(r) = 0.
-1, 2, 3
Factor 3/5*g**4 - 3/5*g**3 - 9/5*g**2 - 6/5 + 3*g.
3*(g - 1)**3*(g + 2)/5
Suppose 87*m - 98*m = -22. Find g such that 2/5*g**m + 0 + 2/5*g = 0.
-1, 0
Let s(p) = -11*p**5 - 17*p**4 - 17*p**3 + 3*p**2 - p - 5. Let f(k) = 5*k**5 + 9*k**4 + 9*k**3 - k**2 + 2. Let g(w) = 5*f(w) + 2*s(w). Factor g(l).
l*(l + 1)**2*(l + 2)*(3*l - 1)
Factor -36/5*y - 324/5 - 1/5*y**2.
-(y + 18)**2/5
Let s(f) be the first derivative of 0*f**3 - 1/3*f**2 - 1 + f + 1/18*f**4. Let h(w) be the first derivative of s(w). Factor h(d).
2*(d - 1)*(d + 1)/3
Let b be (-18)/(-8) - 28/(-16). Let a = 1 - 1. Suppose -14/9*u**3 + 4/9*u**2 + a + 8/9*u**b + 2/9*u = 0. Calculate u.
-1/4, 0, 1
Let u(q) be the third derivative of -5/12*q**4 + 2/3*q**3 - q**2 + 0 + 1/10*q**5 + 1/60*q**6 + 0*q - 1/105*q**7. Factor u(f).
-2*(f - 1)**3*(f + 2)
Let o(m) = -m**2 + 1 - 22*m - 1 + 2 + 20*m. Let w be o(0). Determine a so that -4/5 - 2/5*a**w - 6/5*a = 0.
-2, -1
Solve -3/5*b**2 + 12/5*b - 12/5 = 0 for b.
2
Let f(i) be the first derivative of i**6/6 - i**4 + 2*i**3/3 + 3*i**2/2 - 2*i + 1. Let f(k) = 0. What is k?
-2, -1, 1
Let b(l) be the second derivative of -5/21*l**3 + 0 - 2/21*l**4 - 2/7*l**2 + l - 1/70*l**5. Determine n so that b(n) = 0.
-2, -1
Let v(k) be the second derivative of k**9/9072 + k**8/1680 + k**7/840 + k**6/1080 - k**3/3 + 3*k. Let q(a) be the second derivative of v(a). Factor q(j).
j**2*(j + 1)**3/3
Let y(k) be the third derivative of -k**6/240 + k**5/24 + 4*k**2 + 6*k. Factor y(n).
-n**2*(n - 5)/2
Suppose 2*p - 9 = -0*p + 3*u, 0 = 4*p + 3*u - 27. Suppose -2*t - 8 = -p*t. Solve -r - r**3 + 2*r**t - 2*r + 2*r = 0.
0, 1
Suppose 6*b - 7*b = 5. Let m be 78/56 - b/(-20). Factor 10/7*s**2 - 2/7*s**3 - 16/7*s + m.
-2*(s - 2)**2*(s - 1)/7
Let g(z) be the third derivative of -z**8/3528 - z**7/245 - 2*z**6/315 + 25*z**2. Find o such that g(o) = 0.
-8, -1, 0
Let t(q) = q**4 - q**3 + q**2 + q. Let m(i) = 3*i**5 - 44*i**4 + 185*i**3 - 254*i**2 + 106*i. Let f(a) = -m(a) - 2*t(a). Factor f(y).
-3*y*(y - 6)**2*(y - 1)**2
Let s(i) be the second derivative of i**6/10 - 3*i**4/4 - i**3 + 3*i. Factor s(p).
3*p*(p - 2)*(p + 1)**2
Let x(b) be the third derivative of -b**7/1050 - b**6/300 + b**4/60 + b**3/30 + b**2. Determine j, given that x(j) = 0.
-1, 1
Let r be (-4 + 28/8)*0. What is a in r - 1/2*a**3 + 1/2*a**2 + a = 0?
-1, 0, 2
Let k(z) be the third derivative of -z**5/120 - z**4/16 - z**3/6 + 13*z**2. Determine o, given that k(o) = 0.
-2, -1
Let x(j) be the first derivative of 0*j - 4 + 1/4*j**2 - 1/8*j**4 + 1/6*j**3 - 1/10*j**5. Suppose x(o) = 0. Calculate o.
-1, 0, 1
Let p = 5 + -3. Let h = 4 - p. Find c such that 3*c**3 - c + 1 - c**h - 2*c**3 + 0 + 0*c**2 = 0.
-1, 1
Solve -24/5*i**2 - 12/5 - 6*i - 6/5*i**3 = 0.
-2, -1
Let f(c) be the first derivative of -c**8/5040 - c**7/1260 - c**6/1080 + c**3 + 3. Let s(u) be the third derivative of f(u). Find x, given that s(x) = 0.
-1, 0
Suppose x - 20 = 40. Factor 8 + x*g**3 + 70*g**2 - 52*g + 99*g**3 - 110*g**3.
(g + 2)*(7*g - 2)**2
Let t(z) = -z**2 - 14*z. Let v be t(-14). Factor v*m - 8/7*m**3 - 8/7*m**2 + 0 - 2/7*m**4.
-2*m**2*(m + 2)**2/7
Let j = 1 + 3. Find p such that 20*p**3 - 22*p**3 + 0*p + 12*p**2 + 4*p**j - 10*p**3 - 4*p = 0.
0, 1
Let t(i) = -i**3 + 30*i**2 - 29*i + 4. Let p be t(29). Factor 0 + o**p - 4/3*o**3 + 2/3*o - 1/3*o**2.
o*(o - 1)**2*(3*o + 2)/3
Let j be 11/(-21) - (7 + -5). Let o = j + 20/7. Factor 0*y - o + 1/3*y**2.
(y - 1)*(y + 1)/3
Suppose 0*d - 3*d = 4*n - 20, 3*n - 15 = 5*d. Let a(o) = o. Let r(h) = -h**2 - 7*h. Let l(u) = n*a(u) + r(u). Let l(v) = 0. What is v?
-2, 0
Let m(n) be the second derivative of -n**5/50 - n**4/10 - 2*n**3/15 - 3*n. Suppose m(y) = 0. What is y?
-2, -1, 0
Let d(o) be the first derivative of -2*o**5/65 - 3*o**4/26 + 4*o**2/13 - 29. Suppose d(a) = 0. What is a?
-2, 0, 1
Let c(y) be the first derivative of -y**6/21 + 12*y**5/35 + 15*y**4/14 + 16*y**3/21 + 29. Find l such that c(l) = 0.
-1, 0, 8
Suppose 0 = 3*b + 12, 0*t + 2*b + 6 = -t. Factor -5*g - t*g**2 + 8*g - g**2.
-3*g*(g - 1)
Let n(p) = -p + 1. Let r be n(0). Determine l so that -3/4*l - 7/4*l**2 + r = 0.
-1, 4/7
Factor -7*v**3 + 1 + 23*v**4 + 3*v**2 - 5*v + 6*v**2 - 21*v**4.
(v - 1)**3*(2*v - 1)
Suppose -2*q - 4*w = 4, -4*q + w + 0 + 19 = 0. Suppose q*n = 2*n. Determine b, given that -8/5*b**3 - 6/5*b**2 + n + 2/5*b = 0.
-1, 0, 1/4
Let h be ((-4)/14)/((-18)/126). Factor 0 + 2/11*b**3 + 2/11*b + 4/11*b