l**2 - 2*l + 9. Let v(u) = -1. Let z(r) = -2*h(r) - 18*v(r). Let z(m) = 0. Calculate m.
-2, 0
Let n(h) be the third derivative of -h**6/1800 + h**5/600 + h**3/2 + 2*h**2. Let p(a) be the first derivative of n(a). Solve p(x) = 0.
0, 1
Let 18/7*b**2 - 2*b + 2/7*b**4 - 10/7*b**3 + 4/7 = 0. Calculate b.
1, 2
Let r = 119 - 116. Let 0 - 3/2*j**r + 9/2*j**2 - 3*j = 0. Calculate j.
0, 1, 2
Let h(y) be the first derivative of y**3/6 - y**2/2 + y/2 + 2. Factor h(t).
(t - 1)**2/2
Let d(o) be the second derivative of 0*o**3 + 2*o + 1/6*o**4 + 0 + 1/15*o**6 - 1/5*o**5 + 0*o**2. Factor d(j).
2*j**2*(j - 1)**2
Suppose 57/2*t**3 - 39/2*t**2 + 6 - 21/2*t**5 + 27/2*t**4 - 18*t = 0. What is t?
-1, 2/7, 1, 2
Suppose 2*c = -4 - 0. Let b be (c/3)/((-10)/75). Suppose 0 - g**4 - 1/2*g**b - 1/2*g**3 + 0*g**2 + 0*g = 0. Calculate g.
-1, 0
Let d(t) be the third derivative of -t**10/907200 + t**8/60480 - t**6/4320 + t**5/15 + 2*t**2. Let z(f) be the third derivative of d(f). Factor z(s).
-(s - 1)**2*(s + 1)**2/6
Let i = -2 - -2. Suppose w + 4*y = -15 - i, 2*y = 4*w - 30. Solve -2/3 + 2/3*c**w + 20/3*c**3 - 10/3*c**4 + 10/3*c - 20/3*c**2 = 0 for c.
1
Let f = -33 + 46. Suppose v - 15 = -f. Factor 1/2*i + 0 + i**v + 1/2*i**3.
i*(i + 1)**2/2
Let q = -255/4 - -64. Determine w, given that -q - 1/4*w**2 - 1/2*w = 0.
-1
Determine o, given that -4/3*o**2 + 0 + 2*o**3 + 0*o = 0.
0, 2/3
Let u(w) = -7*w**5 - 4*w**4 + 5*w**3 + 9*w**2 - 3*w - 5. Let v(p) = 3*p**5 + 2*p**4 - 2*p**3 - 4*p**2 + p + 2. Let d(r) = 2*u(r) + 5*v(r). Factor d(x).
x*(x - 1)*(x + 1)**3
Let a(i) = i - 4. Let s be a(6). Let l(r) be the first derivative of -2 - 2*r - s*r**2 - 2/3*r**3. Find j such that l(j) = 0.
-1
Let d(z) be the second derivative of 1/10*z**6 + 0*z**2 - 6*z + 0*z**4 + 0*z**3 + 0*z**5 + 1/14*z**7 + 0. Suppose d(h) = 0. Calculate h.
-1, 0
Let q(t) = -t**3 + 4*t**2 + 4*t + 3. Let k be q(4). Suppose 2*n = -2*z - 7 + k, z = -3*n + 8. Let -z - v**2 + 3*v + 4 - v = 0. Calculate v.
1
Let q(n) be the third derivative of n**5/120 - 5*n**4/144 - n**3/18 + 2*n**2 - 10*n. Factor q(m).
(m - 2)*(3*m + 1)/6
Solve -4/5*d**2 - 8/5*d + 0 = 0 for d.
-2, 0
Let n(b) = b**3 + 6*b**2 + 4*b - 3. Let g be n(-5). Let h = -43/3 - -15. Find i, given that 2/3*i - h*i**g + 0 = 0.
0, 1
Let f be 26/(-5) + (-3 - -9). Solve 0*p**3 + 22/5*p**2 - 8/5*p**4 + f - 18/5*p = 0.
-2, 1/2, 1
Let q be (9/1242)/(2/(-8)). Let j = q - -148/345. Factor 2/5*m - j*m**5 - 4/5*m**4 + 0 + 4/5*m**2 + 0*m**3.
-2*m*(m - 1)*(m + 1)**3/5
Let b(i) be the first derivative of 1/4*i**2 - 1/4*i**4 + 7 + 0*i**3 + 0*i**5 + 1/12*i**6 + 0*i. Determine w, given that b(w) = 0.
-1, 0, 1
Let o(x) be the second derivative of -1/30*x**3 - 1/5*x**2 - 3*x + 1/60*x**4 + 0. Factor o(a).
(a - 2)*(a + 1)/5
Let h(y) be the first derivative of y**7/1050 - y**6/300 + y**4/60 - y**3/30 + y**2 - 3. Let p(c) be the second derivative of h(c). Factor p(s).
(s - 1)**3*(s + 1)/5
Suppose 0 = -3*a + o + 8, -2*a + 7 = 5*o - 4*o. Let r = -1/40 + 17/40. Find p, given that 4/5*p**4 + 0 - 2/5*p**a - 4/5*p**2 + r*p = 0.
-1, 0, 1/2, 1
Let g = 4 - 1. Let w be (-1)/g + 63/108. Determine x so that 0 + 1/4*x**3 + 1/4*x**2 - w*x - 1/4*x**4 = 0.
-1, 0, 1
Let y(p) = p**2 + 5*p + 5. Let n(f) = f**2 + 4*f + 4. Let i(t) = -5*n(t) + 4*y(t). Factor i(s).
-s**2
Let b(s) be the first derivative of 0*s + 1/18*s**4 + 0*s**3 - 5 - 1/9*s**2. Determine x so that b(x) = 0.
-1, 0, 1
Let j be ((-6)/(-8))/(3/2)*8. What is a in -1/2*a**2 + 1/2*a**j + 1/2*a**3 + 0 - 1/2*a = 0?
-1, 0, 1
Let k(d) be the third derivative of d**7/735 + d**6/420 - d**5/70 - 5*d**4/84 - 2*d**3/21 - 2*d**2. Solve k(p) = 0.
-1, 2
Let k = -2/39 + 92/273. Suppose 8/7*g - k + 8/7*g**3 - 12/7*g**2 - 2/7*g**4 = 0. What is g?
1
Let s(a) = 14*a**3 + 11*a**2 - 9*a - 6. Let o(v) = 5*v**3 + 4*v**2 - 3*v - 2. Let h(g) = 11*o(g) - 4*s(g). Determine c, given that h(c) = 0.
-1, 2
Let p(h) = 3*h**5 - 13*h**4 - 16*h**3 - 5*h - 5. Let b(u) = u**5 - 7*u**4 - 8*u**3 - 3*u - 3. Let x(y) = -5*b(y) + 3*p(y). Let x(l) = 0. What is l?
-1, 0, 2
Let w be 7 - (-3 - -5) - (-1 - -4). Factor 0 + 0*t + 2/5*t**w.
2*t**2/5
Let o(v) be the third derivative of v**10/20160 + v**9/6720 + v**8/8960 + v**4/12 - 3*v**2. Let q(m) be the second derivative of o(m). Factor q(g).
3*g**3*(g + 1)*(2*g + 1)/4
Let a be (117/(-10))/((-18)/(-15)). Let q = 125/12 + a. Let -2/3*p**4 - q*p**3 + 2/3*p**2 + 2/3*p + 0 = 0. What is p?
-1, 0, 1
Find y, given that 15*y**2 + 0*y**2 + 5*y**4 + 9*y**3 - 20 + 11*y**3 - 20*y = 0.
-2, -1, 1
Let i(x) = 4*x**5 - 6*x**4 + 2*x**3 - 3*x**2 + 4*x + 4. Let f(v) = -v**5 + v**4 + v**2 - v - 1. Let r(s) = -5*f(s) - i(s). Factor r(a).
(a - 1)**2*(a + 1)**3
Let j(t) be the second derivative of 0 - 1/8*t**2 + 1/8*t**3 - 1/16*t**4 + 5*t + 1/80*t**5. Factor j(n).
(n - 1)**3/4
Let h(o) be the second derivative of 2*o - 2*o**3 + 0 + 2*o**4 - 4/5*o**5 + o**2. Factor h(k).
-2*(2*k - 1)**3
Let g be (-3 - 2) + ((-765)/(-27))/5. Let g*b**3 + 0 + 4/3*b + 2*b**2 = 0. What is b?
-2, -1, 0
Suppose -v + 2*g = 3*g - 2, 0 = -5*g. Factor 21/4*j**3 + 27*j - 6 - 45/2*j**v.
3*(j - 2)**2*(7*j - 2)/4
Factor -3/2*w + 3/2*w**2 - 1/2*w**3 + 1/2.
-(w - 1)**3/2
Let h(r) = -7*r**4 - 6*r**3 + 4*r**2 + 3. Let n(d) = -34*d**4 - 30*d**3 + 20*d**2 + 16. Let v(f) = -16*h(f) + 3*n(f). Suppose v(c) = 0. Calculate c.
-1, 0, 2/5
Let a(o) be the third derivative of -o**6/60 - o**5/6 - 4*o**2. Factor a(u).
-2*u**2*(u + 5)
Let p = -5 + 7. Suppose l = -p*l + 5*v + 9, 0 = 2*v. Factor 2*d**3 - d**2 - d**2 + 0*d**l.
2*d**2*(d - 1)
Determine o, given that -6/5*o**2 + 8/5*o**3 - 8/5*o + 8/5 - 2/5*o**4 = 0.
-1, 1, 2
Let i(j) be the first derivative of 2*j**3/9 + 8*j**2/3 + 32*j/3 + 9. Let i(t) = 0. Calculate t.
-4
Let y(a) be the third derivative of 0 + 0*a - 32/3*a**3 - 4/3*a**4 - 1/15*a**5 - a**2. Factor y(l).
-4*(l + 4)**2
Factor 1/2*i**3 - 1/2*i + 1/4*i**2 + 0 - 1/4*i**4.
-i*(i - 2)*(i - 1)*(i + 1)/4
Factor 3/4*f**3 - 9/4*f + 0*f**2 - 3/2.
3*(f - 2)*(f + 1)**2/4
Factor 2*m**4 - 15*m - 2*m**2 - 12*m + 21*m + 6*m**3.
2*m*(m - 1)*(m + 1)*(m + 3)
Let n(k) = -k**3 + 4*k**2 - k. Let b(a) = -3*a**3 + 11*a**2 - 3*a. Let x be -1 + 5/(10/(-32)). Let t(c) = x*n(c) + 6*b(c). Solve t(w) = 0 for w.
-1, 0
Let q(r) be the first derivative of 1/24*r**4 - 1 - r + r**2 - 1/3*r**3. Let w(j) be the first derivative of q(j). What is f in w(f) = 0?
2
Suppose 31 = -5*h + 51. Let f(l) be the second derivative of 1/36*l**3 + 0 + 1/72*l**h + 0*l**2 + 2*l. Solve f(k) = 0 for k.
-1, 0
Let q(s) be the first derivative of 4*s**3/3 - 11. Factor q(t).
4*t**2
Let b be 1 - ((-4 - 1) + 4). What is r in -1/4*r + 0 + 1/4*r**b = 0?
0, 1
Let h(u) = -3*u**2 + 3*u. Suppose -4*m - 6 = 38. Let j(l) = -l**2 + l. Let d(i) = m*j(i) + 4*h(i). What is y in d(y) = 0?
0, 1
Let l(k) be the first derivative of -2*k**3/9 + 44*k**2/3 - 968*k/3 + 8. Factor l(f).
-2*(f - 22)**2/3
Let n(w) be the first derivative of 2/45*w**3 - 2 + 1/15*w**2 - 2/15*w - 1/30*w**4. Factor n(z).
-2*(z - 1)**2*(z + 1)/15
What is j in -4*j**3 + 5*j**3 - 3*j**2 - j - j**2 + 5*j = 0?
0, 2
Suppose -107*r**2 - 5*r**3 - 2*r + 17*r**3 + 7*r**4 + 110*r**2 = 0. Calculate r.
-1, 0, 2/7
Let r be 32/12*27/6. Let y be ((-15)/36)/(r/(-32)). Factor -4/9 + 2/3*s + y*s**2.
2*(s + 1)*(5*s - 2)/9
Let c(f) = -7*f**4 - f**3 + 2*f. Let q(r) = -r**4 + r**3 - r**2 + r. Let a(g) = -c(g) + 2*q(g). Factor a(s).
s**2*(s + 1)*(5*s - 2)
Let d(a) be the second derivative of 2*a + 1/105*a**7 + 1/15*a**4 + 2/5*a**2 + 0 - 4/75*a**6 + 2/25*a**5 - 1/3*a**3. Let d(g) = 0. Calculate g.
-1, 1, 2
Suppose -9 = -3*r - 0. Suppose r*s + 0*s = 6. Factor -s*u + 5*u + u**2 - 4*u.
u*(u - 1)
Let s(d) = -19*d**2 - 6 - 19*d**3 + 3 + 3. Let j(i) = -3*i**3 - 3*i**2. Let b(l) = 39*j(l) - 6*s(l). Suppose b(p) = 0. Calculate p.
-1, 0
Let d be -2 - 4*(3 - 4). Factor 0 + 2/3*l**3 - l**4 - 2/3*l + l**d.
-l*(l - 1)*(l + 1)*(3*l - 2)/3
Let b = 71 + -47. Factor 55*n - b + 170*n**2 + 6174*n**4 - 4263*n**3 + 53*n + 460*n**2.
3*(6*n + 1)*(7*n - 2)**3
Let h(n) = -n**4 - n**2 + n - 1. Let i(z) = 8*z**4 + 2*z**3 + 10*z**2 - 11*z + 9. Let y = -17 - -19. Let m(w) = y*i(w) + 18*h(w). Factor m(f).
-2*f*(f - 2)*(f - 1)*(f + 1)
Let u(q) be the first derivative of -3*q**5/70 - q**4/42 + 3*q**2 - 2. Let z(o) be the second derivative of u(o). Solve z(l) = 0 for