7 - 5*a. Suppose u(n) = 0. Calculate n.
-1, 1
Factor -5*r**2 + 4*r - 12 + r**2 + 12*r.
-4*(r - 3)*(r - 1)
Let z(b) = 12*b**2 + 3*b - 6. Let d(m) = -25*m**2 - 6*m + 12. Let a(v) = -3*d(v) - 7*z(v). Determine h, given that a(h) = 0.
-1, 2/3
Let b be (4 - -3)*(-4)/(-14). Let r(o) be the first derivative of -2/11*o**3 + 1/11*o**2 + b + 0*o. Suppose r(l) = 0. Calculate l.
0, 1/3
Let q be 10 + (-48)/6 + 8/(-6). Find l such that -2/3*l**3 + 0 + 0*l + q*l**2 = 0.
0, 1
Let s be 637/(-98) + (7 - 0). Determine d, given that 0*d**2 - 1/4 + 1/4*d**4 - 1/2*d + s*d**3 = 0.
-1, 1
Let z(r) be the first derivative of -2*r**3/5 - 2*r**2 - 6*r/5 - 25. Solve z(d) = 0.
-3, -1/3
Let u = -23/17 + 1052/765. Let j(q) be the second derivative of -q - 2/9*q**3 + 1/15*q**5 + 0*q**4 + 0 + u*q**6 - 1/3*q**2. Factor j(w).
2*(w - 1)*(w + 1)**3/3
Let b(z) be the second derivative of -2*z**6/15 + 4*z**5/5 - z**4 - 8*z**3/3 + 8*z**2 - 10*z. Find w, given that b(w) = 0.
-1, 1, 2
Suppose 4/5 + 8/5*r + 1/5*r**3 + r**2 = 0. Calculate r.
-2, -1
Let b be 5 + 38/(-8) + 0. Let b*m**2 - 3/4*m + 1/2 = 0. Calculate m.
1, 2
Let b = 10 + -17. Let a = -3 - b. Factor -a*h**2 + 0*h**5 + 0*h**4 + 0*h - 2*h + 2*h**5 + 4*h**4.
2*h*(h - 1)*(h + 1)**3
Let m be 4/(-6)*((-6)/1)/18. Let y(a) be the third derivative of -4*a**2 + 7/360*a**6 - m*a**4 + 0 + 0*a + 2/9*a**3 + 1/36*a**5. Factor y(c).
(c - 1)*(c + 2)*(7*c - 2)/3
Let g(o) be the second derivative of -o**9/60480 + o**7/5040 - o**5/480 + o**4/3 + 4*o. Let y(w) be the third derivative of g(w). Suppose y(n) = 0. Calculate n.
-1, 1
Factor -2/11*f**2 + 4/11*f + 0.
-2*f*(f - 2)/11
Suppose -5 = -4*g + 3. Suppose -g*u + 13 - 1 = 2*x, 2*u = -x + 10. Find b such that 3/2*b - 1 + 0*b**x - 1/2*b**3 = 0.
-2, 1
Let t be (222/76 + -3)*2. Let j = 29/57 - t. Find r, given that 0 - j*r + 2/3*r**3 + 2/3*r**4 - 2/3*r**2 = 0.
-1, 0, 1
Let c(s) = -s**3 - 6*s**2 + s + 6. Suppose 3*h - 5*r = -0 + 2, h + 2*r + 14 = 0. Let y be c(h). Factor y*a + 0 + 2/3*a**2 - 3*a**3 + 7/3*a**4.
a**2*(a - 1)*(7*a - 2)/3
Factor 8/17 + 42/17*n**2 - 30/17*n - 26/17*n**3 + 6/17*n**4.
2*(n - 1)**3*(3*n - 4)/17
Let i be 2/8 + (-3)/((-60)/35). Let w(h) be the first derivative of -4 + 10/9*h**3 + 8/3*h**i - 8/3*h. Determine a so that w(a) = 0.
-2, 2/5
Let l(c) = c**3 + 3*c**2 + c + 6. Let b be l(-3). Factor -2*k + 2/3 + 2*k**2 - 2/3*k**b.
-2*(k - 1)**3/3
Suppose w + 5*m - 10 = 0, -6*w + 3*w + 6 = 3*m. Suppose w*p - 4*p = 0. What is i in -2/3*i**2 + p + 0*i = 0?
0
Let z(p) be the third derivative of -p**7/420 - p**6/240 + p**5/120 + p**4/48 - 27*p**2. Factor z(q).
-q*(q - 1)*(q + 1)**2/2
Let l = -967 - -967. Factor l - 5/4*j**2 + 1/4*j**4 + 1/4*j**3 + 3/4*j.
j*(j - 1)**2*(j + 3)/4
Let y(p) be the first derivative of -2*p**6/3 - 8*p**5/5 + 2*p**4 + 16*p**3/3 - 2*p**2 - 8*p - 7. Suppose y(r) = 0. What is r?
-2, -1, 1
Suppose -3*k = 3*c + k + 6, -2*k = c. Let f be -4*((-22)/c + -4). Factor f*w**2 + 0 + 1/3*w.
w*(4*w + 1)/3
Let i = -74 - -74. Let p(g) be the third derivative of -1/840*g**8 - 1/300*g**6 + 0*g + i*g**5 + 0 + 0*g**3 - 2/525*g**7 - 3*g**2 + 0*g**4. Solve p(z) = 0.
-1, 0
Let v(t) be the second derivative of t**6/120 + t**5/60 - t**4/24 - t**3/6 - 3*t**2 + t. Let d(n) be the first derivative of v(n). Factor d(i).
(i - 1)*(i + 1)**2
Let v(s) be the first derivative of s**5/210 + s**4/84 + 3*s**2/2 + 5. Let x(n) be the second derivative of v(n). Suppose x(m) = 0. Calculate m.
-1, 0
Suppose 5*s - 6*s = -2. Find x such that -x**2 - s*x**2 + 4*x**2 = 0.
0
Factor -11/2*j + 5/2*j**2 + 1/6*j**3 + 17/6.
(j - 1)**2*(j + 17)/6
Let j(v) = v**3 + 6*v**2 + 6*v + 4. Let t(m) = -2*m**3 - 13*m**2 - 13*m - 9. Let w(y) = 7*j(y) + 3*t(y). Factor w(z).
(z + 1)**3
Let q be 1 - -2 - 0/(2 + 0). Let a(m) be the second derivative of 1/150*m**6 - m + 0 + 0*m**2 - 1/100*m**5 - 1/60*m**4 + 1/30*m**q. Factor a(z).
z*(z - 1)**2*(z + 1)/5
Suppose 5*s - 4*l - 16 = 0, -s + 2*l = -2*s - 8. Let w - 3*w**5 + s*w + 1 + w**4 - 2*w**2 + 2*w**3 + 4*w**5 - 4*w**3 = 0. What is w?
-1, 1
Suppose i**4 - 3*i**3 - 9*i**4 + 5*i**3 = 0. What is i?
0, 1/4
Let i(j) be the third derivative of j**6/240 - j**5/15 + j**4/3 - 3*j**2. Factor i(x).
x*(x - 4)**2/2
Factor -2/7*j**2 + 0 - 2/7*j.
-2*j*(j + 1)/7
Let n(l) = 2*l**2 - 4*l - 2. Let j = 2 + -6. Let q(f) = -2*f**2 + 5*f + 2. Let m(i) = j*q(i) - 5*n(i). Factor m(b).
-2*(b - 1)*(b + 1)
Let m(r) be the second derivative of r**7/294 - r**5/140 - r. Solve m(a) = 0 for a.
-1, 0, 1
Let g be -3*(-2)/(-1)*-1. Let z = g - 4. Factor -4*l**2 + l**4 + 3*l**3 + 2*l**2 + l + 5*l**z.
l*(l + 1)**3
Let b be 2220/(-50) + (-4)/10. Let c = b - -45. Factor -2/5*q**2 - c + 3/5*q.
-(q - 1)*(2*q - 1)/5
Factor 2/3*c - 1/6*c**2 - 1/2.
-(c - 3)*(c - 1)/6
Let x(o) be the first derivative of -o**7/420 - o**6/80 - o**5/40 - o**4/48 + o**2/2 + 3. Let k(b) be the second derivative of x(b). Factor k(s).
-s*(s + 1)**3/2
Let a(p) = -p**3 - 17*p**2 + 36*p - 38. Let y be a(-19). Factor 1/5*r**3 + y + 0*r + 1/5*r**2.
r**2*(r + 1)/5
Let c(l) be the second derivative of l**4/4 + l**3 + 3*l**2/2 + 43*l. Let c(z) = 0. Calculate z.
-1
Let z(j) = -2*j**4 + j**2 - j - 5. Let r(w) = -2*w**4 + 2*w**2 - 4. Let f(o) = 5*r(o) - 4*z(o). Factor f(v).
-2*v*(v - 2)*(v + 1)**2
Factor -2/3*v**4 - 2/3*v**2 + 0*v + 4/3*v**3 + 0.
-2*v**2*(v - 1)**2/3
Let x = 6 + -4. Factor -b**x + 5*b - b + 2*b**2 - 2*b.
b*(b + 2)
Suppose 2 = 2*x - 3*r, -2*x + 5*r + 8 = -2. Let u(b) = b**3 + 4*b**2 - 5*b + 3. Let g be u(x). Solve 6 + n**4 - 3*n**3 - n + g*n**2 - 6 = 0 for n.
0, 1
Let s be 6/(-2) - (-2951)/1521. Let z = 2/39 - s. Factor 4/9*l + 0 + 2/3*l**3 - z*l**2.
2*l*(l - 1)*(3*l - 2)/9
Suppose -m - 3*u = 2*m - 6, u = -4*m - 1. Let x be (1 + -1)/(m - -2). Factor -2/3*z**4 + x*z + 2/3*z**3 + 0*z**2 + 0.
-2*z**3*(z - 1)/3
Factor 13*g - g**2 - 3*g**2 - g - 4 - 4*g**2.
-4*(g - 1)*(2*g - 1)
Let j(g) be the first derivative of -3 - 4*g**2 - 2/3*g**3 - 8*g. Solve j(a) = 0.
-2
Let z be -1*(1 + 1 + -2). Let o(h) be the third derivative of z*h + 0 + 0*h**4 + 1/6*h**3 + h**2 - 1/60*h**5. Suppose o(g) = 0. Calculate g.
-1, 1
Let b(z) be the first derivative of z**6/21 + 8*z**5/35 + 3*z**4/7 + 8*z**3/21 + z**2/7 - 6. Factor b(x).
2*x*(x + 1)**4/7
Let v(j) = j**4 - j**2 - 1. Let z(h) = -3*h**5 + 6*h**4 + 6*h**3 + 18*h**2 - 27*h - 18. Let f(y) = -18*v(y) + z(y). Factor f(b).
-3*b*(b - 1)**2*(b + 3)**2
Let v(o) be the third derivative of o**8/42 - o**7/15 - o**6/30 + 4*o**5/15 - o**4/6 - o**3/3 - 4*o**2 - 4*o. Let v(r) = 0. What is r?
-1, -1/4, 1
Let r be 4*(-4)/((-48)/9). Suppose -3*t + 5*q - 5 = 0, -2*t + 3*q + 10 - 13 = 0. Solve 0*b + 4/5*b**2 - 4/5*b**r + 1/5*b**4 + t = 0 for b.
0, 2
Suppose -2 = 5*z - 12. Suppose 0 + 0*u + 0*u**z + 2/3*u**3 = 0. Calculate u.
0
Let m(x) be the third derivative of -2*x**7/105 + x**6/60 + 7*x**5/240 + x**4/96 - 10*x**2. Factor m(i).
-i*(i - 1)*(4*i + 1)**2/4
Let b be (6/(-9))/(163*-1). Let h = 4409/1956 - b. Factor 33/4*r**4 - 23/2*r**3 + 15/2*r**2 - 9/4*r + 1/4 - h*r**5.
-(r - 1)**3*(3*r - 1)**2/4
Factor -8 - 5*f**4 + 4 + 5*f**3 + 5*f**2 + 4 - 5*f**5.
-5*f**2*(f - 1)*(f + 1)**2
Let c = 68 + -66. Suppose -2/9*k**c - 8/9 + 8/9*k = 0. Calculate k.
2
Let z = 27 + -24. Let r be -4 - 26*z/(-15). Factor -r*d**4 + 8/5*d**3 + 2/5*d**2 + 0 - 4/5*d.
-2*d*(d - 1)**2*(3*d + 2)/5
Let i(q) = -q**2 - 1. Let t(c) = 2*c**4 + 4*c**3 + 5*c**2 + 3. Let g(m) = 6*i(m) + 2*t(m). What is r in g(r) = 0?
-1, 0
Let t(q) be the second derivative of 1/5*q**3 + 3*q + 0*q**2 - 3/100*q**5 + 0 - 1/20*q**4. Find p, given that t(p) = 0.
-2, 0, 1
Suppose 2*h - 3*h = 2, -4*h = 5*a - 7. Let f = a + 1. Factor s**5 - s**f + 4*s**2 - 2*s**2 - 2*s**4 - s + s**4.
s*(s - 1)**3*(s + 1)
Let k(y) be the third derivative of y**8/504 + 2*y**7/105 + 13*y**6/180 + 2*y**5/15 + y**4/9 + 5*y**2. Factor k(g).
2*g*(g + 1)**2*(g + 2)**2/3
Let r(s) be the first derivative of 156*s**5/5 + 20*s**4 - 16*s**3/3 - 1. Solve r(o) = 0 for o.
-2/3, 0, 2/13
Let j be 91/(-441) - (-27)/63. Solve 0 - j*f**4 - 4/9*f**5 + 0*f + 2/9*f**2 + 4/9*f**3 = 0 for f.
-1, -1/2, 0, 1
Determine b, given that -4*b**2 + b**2 + 2*b**2 - 2*b**2 = 0.
0
Factor -4/11*p + 14/11*p**5 + 38/11*p**4 + 0 + 30/11*p**3 + 2/11*p**2.
2*p*(p + 1)**3*(7*p - 2)/11
Find j, given that 0*j**4 + j**2 + j**5 + 0*j**2 - j**4 - j**3 = 0.
-1, 0, 1
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