o**5/180 + o**4/48 + o**3/36 + 6*o**2. Suppose k(m) = 0. What is m?
-1, 1
Let k(n) = n**4 - n**2 - n. Let o(s) = -3*s**4 + 2*s**3 + s**2 + 5*s. Let c(f) = 10*k(f) + 2*o(f). Factor c(b).
4*b**2*(b - 1)*(b + 2)
Let w = -110 - -112. Find p such that 1/2*p**4 + 0 - p - 5*p**w + 7/4*p**5 - 21/4*p**3 = 0.
-1, -2/7, 0, 2
Let p(b) be the third derivative of -b**5/15 + 2*b**4/3 - 2*b**3 - 22*b**2. Solve p(n) = 0.
1, 3
Let a(k) be the first derivative of 5*k**3/3 - 6*k**2 + 4*k + 5. Factor a(u).
(u - 2)*(5*u - 2)
Let g = -7 - -11. Let q(x) be the second derivative of 0*x**2 - 1/6*x**4 + 1/21*x**7 + g*x + 3/10*x**5 + 0*x**3 - 1/5*x**6 + 0. Factor q(b).
2*b**2*(b - 1)**3
Factor 10 + 5/2*r**2 + 10*r.
5*(r + 2)**2/2
Let c be 186/14 - 2/7. Let x(f) be the second derivative of 9*f**5/20 + 17*f**3/6 + f. Let z(y) = 4*y**3 + 8*y. Let u(i) = c*z(i) - 6*x(i). Factor u(h).
-2*h*(h - 1)*(h + 1)
Factor 11*o**2 - 22*o**2 + 9*o**2 + 12*o.
-2*o*(o - 6)
Let j(p) be the second derivative of 0 - 5*p + 1/12*p**4 + 1/30*p**5 + 1/180*p**6 + 1/9*p**3 + 1/12*p**2. Factor j(n).
(n + 1)**4/6
Let k = 0 - -4. Suppose 4*g = -5*w + 2*w + 26, -4*g + 5*w + 10 = 0. Find h such that h**2 + 8*h**g - 15*h**2 + 2*h - h**k - 12*h**3 + 15*h**4 + 2*h = 0.
-2, -1, 0, 1/4, 1
Let y(f) = f**3 - 3*f**2 - 2*f - 1. Let b be y(4). Let p be 2/(-3 + b)*0. Let 0*n + 6/5*n**4 + p + 2/5*n**2 - 8/5*n**3 = 0. Calculate n.
0, 1/3, 1
Let p(r) be the second derivative of 2/5*r**6 + 0*r**2 + 5/4*r**4 - 6/5*r**5 + 9*r + 0 - 1/2*r**3. Factor p(l).
3*l*(l - 1)*(2*l - 1)**2
Factor -8/3*g - 1/3*g**2 - 16/3.
-(g + 4)**2/3
Factor 4/5*s**2 + 2/5*s + 2/5*s**3 + 0.
2*s*(s + 1)**2/5
Suppose 0 = 4*m + 4*k - 28, -2*m - k = -6*m + 8. Let f(y) be the first derivative of -2/3*y**m + 2 + 2*y + 0*y**2. Factor f(p).
-2*(p - 1)*(p + 1)
Let d(v) be the third derivative of -4/735*v**7 + 2/21*v**3 + 0*v + 0 - v**2 + 1/105*v**5 + 3/28*v**4 - 3/140*v**6. Solve d(g) = 0 for g.
-2, -1, -1/4, 1
Factor 9*m**2 + 3 - 18*m**2 + 3*m**4 + 3*m**2.
3*(m - 1)**2*(m + 1)**2
Factor 8*l**4 - 4*l**5 - 10 + 4*l - 8*l**2 + 10.
-4*l*(l - 1)**3*(l + 1)
Let s = 714 + -709. Determine j so that 0 + 0*j**2 + 3/2*j**s + 3/2*j**3 + 3*j**4 + 0*j = 0.
-1, 0
Let q be (5/(20/4))/(7/4). Determine n so that q - 2/7*n - 2/7*n**2 = 0.
-2, 1
Let f(u) = u**3 + 4*u**2 - 3*u - 5. Let i be f(-4). Suppose i*p - 2*x - 42 = 2*p, 0 = p + 3*x - 5. Factor 3*d**4 + 2*d**3 + p - 4*d**4 - 2*d - 7.
-(d - 1)**3*(d + 1)
Let u be (-1)/2*(-10 + 6). Find b such that 24*b**5 - 11*b**5 + b**3 + u*b**4 - 12*b**5 = 0.
-1, 0
Let i(a) = -2*a**2 + 10*a - 8. Let h(o) = o - 1. Let q be ((-2)/(-4))/((-8)/16). Let t(y) = q*i(y) + 8*h(y). Find v, given that t(v) = 0.
0, 1
Find k, given that -4/7*k**2 - 16/7 + 16/7*k = 0.
2
Let d = 14 + -19. Let y be 18/(-45) + (-2)/d. Factor 0 + y*x + 1/2*x**2.
x**2/2
Suppose 1 - 3*o - 9*o**4 + 3 - 2 - 25*o**3 - 21*o**2 = 0. What is o?
-1, 2/9
Let n be -2 - 2 - (-20)/(-4). Let z(i) = -3*i**3 + 2*i**2 - 7*i + 4. Let j(r) = 6*r**3 - 3*r**2 + 15*r - 9. Let h(m) = n*z(m) - 4*j(m). Factor h(t).
3*t*(t - 1)**2
Let m(l) be the first derivative of l**8/6720 + l**7/3360 - l**6/480 - l**5/96 - l**4/48 - 2*l**3 - 6. Let h(d) be the third derivative of m(d). Factor h(t).
(t - 2)*(t + 1)**3/4
Let t be (17 + -18)/((-2)/4). Let m be (-4)/6*(-8)/24. Factor 0 + m*d - 2/9*d**t.
-2*d*(d - 1)/9
Find l, given that 0*l**4 + 2*l**3 + 0*l + 4/3*l**2 + 0 - 2/3*l**5 = 0.
-1, 0, 2
Factor -81*j**2 - 3*j**4 + 75*j**2 - 15*j**3 + 15*j + 9*j**4.
3*j*(j - 1)*(j + 1)*(2*j - 5)
Let i(l) = l**2 + l - 18. Let s be i(4). Find w, given that 0 - 2/3*w - 1/3*w**s = 0.
-2, 0
Let j = 38 + -75/2. Factor -d + j + 1/2*d**2.
(d - 1)**2/2
Let u(t) = -t**3 + 5*t**2 + 4. Let r(p) = -p**3 + 4*p**2 + 3. Let m(k) = 4*r(k) - 3*u(k). Factor m(d).
-d**2*(d - 1)
Let o(n) be the third derivative of n**6/720 - n**5/180 + n**4/144 - 2*n**2. Find s such that o(s) = 0.
0, 1
Suppose 2*z = -u - 7 + 20, 0 = 2*z + 3*u - 23. Solve 9*j**3 - 3*j**4 + 5*j**4 - 2*j + j**2 - 3*j**5 - 3*j**4 - z*j**3 = 0 for j.
-1, 0, 2/3, 1
Suppose 2*q - 2 = 4. Solve 3*u**q + u**3 - 3*u**3 - u**2 + 3*u**2 = 0.
-2, 0
Let c(r) be the first derivative of -r**5 - 15*r**4/4 - 5*r**3 - 5*r**2/2 + 10. Factor c(b).
-5*b*(b + 1)**3
Let g = -186 + 188. Factor -1/5 + 2/5*a - 1/5*a**g.
-(a - 1)**2/5
Let g(v) be the first derivative of v**7/420 - v**6/180 - v**5/15 + v**4/3 - 8*v**3/3 - 5. Let y(z) be the third derivative of g(z). Let y(s) = 0. What is s?
-2, 1, 2
Solve 1/3 + 4/3*w - 4/3*w**4 + w**2 - 4/3*w**3 = 0 for w.
-1, -1/2, 1
Factor -2/15*s**2 + 0 + 2/15*s.
-2*s*(s - 1)/15
Let l(m) be the third derivative of m**8/70560 + m**7/2940 + m**6/280 + 2*m**5/15 + 6*m**2. Let z(a) be the third derivative of l(a). Factor z(r).
2*(r + 3)**2/7
Let m be -3 - (-3 - (0 + 34)). Let k = -32 + m. Find s such that 2/5*s**k - 2/5*s + 0 + 2/5*s**3 - 2/5*s**4 = 0.
-1, 0, 1
Let 5*o**4 - o**4 - 16*o + 32*o - 12*o**3 = 0. Calculate o.
-1, 0, 2
Let n(z) be the first derivative of 3/4*z**4 + 0*z + 6 + z**3 + 1/2*z**2 + 1/5*z**5. Determine f so that n(f) = 0.
-1, 0
Let 11*s - 3 - 3 + 16*s + 4*s**2 + 29*s**2 = 0. Calculate s.
-1, 2/11
Factor 5*o**3 + 0*o + 5/4*o**2 + 0 - 25/4*o**4.
-5*o**2*(o - 1)*(5*o + 1)/4
Suppose 6*f - 5*f = 3. Let -3*b - 3*b - 2*b**4 - f*b**3 + 3 - b**4 + 9*b**3 = 0. What is b?
-1, 1
Let u be -3 + (-5 - -4) + -2. Let d be (-2 - u)/2*1. Factor 14/11*g**4 + 0 + 2*g**d + 4/11*g + 32/11*g**3.
2*g*(g + 1)**2*(7*g + 2)/11
Suppose 3*d = -5*b + 37, -d - 21 = -9*b + 4*b. Solve -d - 8*v**3 + 0*v**3 - 6*v**2 + 4 + 2*v = 0.
-1, 0, 1/4
Let a(p) = 2*p**2 + 4*p. Let w(b) = -5*b**2 - 8*b. Let f = 30 + -15. Let t = f + -24. Let y(x) = t*a(x) - 4*w(x). Factor y(r).
2*r*(r - 2)
Let v be (9 + -8)*3/1. Let j(c) be the first derivative of -1/2*c**2 + 1/2*c - 1 + 1/6*c**v. Solve j(l) = 0.
1
Let d(w) be the first derivative of w**4/32 - w**3/12 - w**2/16 + w/4 + 18. Factor d(r).
(r - 2)*(r - 1)*(r + 1)/8
Suppose 0*h = h - 6. Suppose 14 = 4*u - 3*a, -3*u + 5*u + h = -5*a. Factor 2*z + 2*z**2 - 2*z**2 + u*z**2.
2*z*(z + 1)
Let y(v) = -2*v**4 - 2*v**3 - 5. Let d be 3/3*(-1 - 4). Let q(l) = l**4 + l**3 + 2. Let g(i) = d*q(i) - 2*y(i). Solve g(x) = 0 for x.
-1, 0
Suppose 4*u - 29 + 5 = 0. Let c be 5/u - (-2)/(-12). Suppose 2/3*a**3 + 0 + c*a**4 - 2/3*a**2 - 2/3*a = 0. What is a?
-1, 0, 1
What is n in -3 - 2*n**2 + 3*n - 2*n**3 + 8 - n**5 + 3*n**4 - 6 = 0?
-1, 1
Let k(v) be the second derivative of -2*v**6/15 - 11*v**5/5 - 15*v**4 - 54*v**3 - 108*v**2 - 27*v. Suppose k(j) = 0. Calculate j.
-3, -2
Let d = -796/21 + 38. Let t(a) be the first derivative of d*a**3 + 0*a + 1/7*a**2 - 2. Factor t(s).
2*s*(s + 1)/7
Let x = 321 - 321. Let x*t + 1/3*t**2 + 1/3*t**3 + 0 = 0. Calculate t.
-1, 0
Let m(g) = -3*g - 1. Let q be m(-1). Let x(k) = k**2 + 3. Let t be x(-3). Factor 14*f + 4*f + 3*f**3 - 6*f + t*f**q.
3*f*(f + 2)**2
Let g(x) be the first derivative of x**6/15 + 2*x**5/25 - x**4/5 - 4*x**3/15 + x**2/5 + 2*x/5 - 21. Factor g(t).
2*(t - 1)**2*(t + 1)**3/5
Let y(c) be the first derivative of 0*c**3 + 2 - 3/4*c**4 + 0*c**2 + 0*c - 6/5*c**5 - 1/2*c**6. What is q in y(q) = 0?
-1, 0
Let t(a) = 49*a**4 - 77*a**3 + 34*a**2 - 4*a + 2. Let g(j) be the first derivative of -j**3/3 - j + 2. Let n(m) = 2*g(m) + t(m). Suppose n(u) = 0. Calculate u.
0, 2/7, 1
Let h(z) = -8*z**5 - 6*z**4 + 10*z**2 - 6*z. Suppose -2*v = -0*v + 10. Let s(r) = -8*r**5 - 7*r**4 + 9*r**2 - 5*r. Let x(i) = v*h(i) + 6*s(i). Factor x(o).
-4*o**2*(o + 1)**2*(2*o - 1)
Let c be 1 + 4*(-3)/(-2). Let s = 9 + -6. Let -2*k**5 + k**2 - 5*k**s + c*k**3 + k**2 - k**4 - k**4 = 0. Calculate k.
-1, 0, 1
Suppose 0 = 4*z + 26*y - 27*y - 4, 5*z - 20 = 5*y. Find g such that z + 0*g - 2/7*g**2 = 0.
0
Let f be ((-14)/(-98))/((-1)/(-21) - 0). Factor 0 - 21/2*t**2 - 3*t - 12*t**f - 9/2*t**4.
-3*t*(t + 1)**2*(3*t + 2)/2
Suppose -33*b + 30*b = -6. Let t be 1 + -1 - (-2)/4. Factor -1/4 - 1/4*l**b + t*l.
-(l - 1)**2/4
Let u = 479/21 - 176/7. Let s = u + 3. Find a such that s*a**5 - 4/3*a**2 - 4/3*a**3 + 2/3*a**4 + 2/3*a + 2/3 = 0.
-1, 1
Let s(k) be the third derivative of 0 + 1/6*k**4 + 0*k - 4/3*k**3 - 6*k**2 + 1/15*k**5. Let s(g) = 0. What is g?
-2, 1
Let i(p) be the third derivative of -p**5/105 + 2*p**4/21 - 8*p**3/21 + 4*p**2. Let i(m) = 0. What is m?
2
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