 2. Let g(r) = 5*r**4 + 2*r**2 + 1. Let u(p) = 4*a(p) + 5*g(p). Suppose u(f) = 0. Calculate f.
-1, 1, 3
Let y = -3 - -5. Solve 2*k**5 - k**5 + 2*k**2 + k**5 - 1 - 3*k**5 - k - k**4 + y*k**3 = 0.
-1, 1
Let m(d) be the third derivative of 0 + 0*d**6 + 1/15*d**5 + 0*d - 1/3*d**3 - 1/105*d**7 + 0*d**4 + 2*d**2. Factor m(s).
-2*(s - 1)**2*(s + 1)**2
Let g(q) be the first derivative of -q**5/30 - q**4/3 - q**3 - 5*q**2/2 + 8. Let v(s) be the second derivative of g(s). Factor v(w).
-2*(w + 1)*(w + 3)
Let d be (-4)/58 + (-3776)/(-5133). Determine b, given that -d*b**2 + 2/3 + 0*b = 0.
-1, 1
Let p(u) be the third derivative of u**7/105 - u**6/20 - u**2. Factor p(s).
2*s**3*(s - 3)
Let o(u) = -4*u - 2. Let t be o(-7). Suppose 14 = -4*s + t. Factor -1 - 5/4*p**2 - 1/4*p**s - 2*p.
-(p + 1)*(p + 2)**2/4
Let s(z) = 14*z**2 + 33*z + 11. Let p(k) = 5*k**2 + 11*k + 4. Let f(b) = 17*p(b) - 6*s(b). Let o be f(11). Determine q so that 0*q + 0*q**o - 1/2*q**3 + 0 = 0.
0
Let k be -10*8/(-32)*2. Let -v**2 + v**3 + 1/2*v**k + 3/2*v**4 - 1/2 - 3/2*v = 0. Calculate v.
-1, 1
Let x(p) be the third derivative of p**6/20 + p**5/15 - 7*p**4/12 + 2*p**3/3 - 14*p**2. Solve x(t) = 0 for t.
-2, 1/3, 1
Let z be (0 + -1)*(1 + (6 - 7)). Factor 2/9*x + z - 2/9*x**3 - 2/9*x**2 + 2/9*x**4.
2*x*(x - 1)**2*(x + 1)/9
Let z(x) be the second derivative of -x**9/68040 - x**4/6 - 2*x. Let i(q) be the third derivative of z(q). What is r in i(r) = 0?
0
Suppose 7*v - 13 - 1 = 0. Find m such that 1/6*m**v + 8/3 - 4/3*m = 0.
4
Let z(v) be the second derivative of 0 + 1/12*v**4 + 0*v**5 + 0*v**2 + 2*v + 0*v**3 - 1/30*v**6. Factor z(m).
-m**2*(m - 1)*(m + 1)
Suppose 0 = -t + 3. Let x(h) be the second derivative of 2/3*h**t - h + 0*h**2 + 1/6*h**4 - 1/2*h**5 - 1/15*h**6 + 1/7*h**7 + 0. Let x(m) = 0. Calculate m.
-1, -2/3, 0, 1
Let v(m) = -5*m**2 + m - 2. Let g(x) = -4*x**2 + 2*x - 2. Let w(q) = 3*g(q) - 2*v(q). Solve w(h) = 0 for h.
1
Let f = 242/3 + -80. Let t(i) be the second derivative of f*i**3 + 2*i + i**2 + 0 + 1/8*i**4. Factor t(n).
(n + 2)*(3*n + 2)/2
Let h = 13 - 8. Let u(x) be the first derivative of 0*x + 1/2*x**2 + 3 + x**3 + 1/5*x**h + 3/4*x**4. Suppose u(s) = 0. What is s?
-1, 0
Suppose 5*d - 22 = -3*r, 4*r - r - 3*d = 6. Let q(a) be the first derivative of 1 - 2/5*a**5 - 4*a**3 - 2*a**4 - r*a**2 - 2*a. Factor q(z).
-2*(z + 1)**4
Suppose 108*r + 4*r**3 - 88*r - 4 - 16*r**2 - 4 = 0. Calculate r.
1, 2
Let l(g) be the third derivative of 0 - 2*g**2 + 0*g**4 - 1/120*g**6 + 0*g + 0*g**5 + 0*g**3. Determine k so that l(k) = 0.
0
Let k(t) be the first derivative of -2/21*t**3 - 6 + 0*t - 1/7*t**2. Factor k(j).
-2*j*(j + 1)/7
Let p(j) = -3*j**3 + 7*j**2 - 17*j. Let r(l) = -l**2 - l. Let x(b) = -p(b) + 5*r(b). Factor x(q).
3*q*(q - 2)**2
Suppose 3*r - 14 = -q + 6*r, 16 = -4*r. Find d such that d**4 + 17*d**5 - q*d**2 - 15*d**5 - 2*d**3 + d**4 = 0.
-1, 0, 1
Let v(f) be the first derivative of 8 + 1/6*f**4 + 0*f + 5/18*f**3 + 1/12*f**2. Factor v(m).
m*(m + 1)*(4*m + 1)/6
Let j be ((-9)/24)/((15/6)/(-5)). Determine d so that j*d**2 + 1/4*d + 0 - d**3 = 0.
-1/4, 0, 1
Let y = -26 - -26. Let l(j) be the third derivative of 0*j**6 - j**2 + y*j**4 + 0 + 0*j + 1/210*j**5 - 1/735*j**7 + 0*j**3. Factor l(w).
-2*w**2*(w - 1)*(w + 1)/7
What is j in -2/5*j**2 - 4/5*j + 0 + 6*j**3 + 14/5*j**5 - 38/5*j**4 = 0?
-2/7, 0, 1
Determine j so that -1/5*j**5 + 0*j - 3/5*j**4 - 1/5*j**2 + 0 - 3/5*j**3 = 0.
-1, 0
Let w(s) = 2*s**2 + 1. Let z be w(1). Factor 7*l**4 - l + 0*l - l**2 - l**4 - 5*l**4 + l**z.
l*(l - 1)*(l + 1)**2
Let f = 165/23 + -2389/115. Let l = 14 + f. What is z in 0 + 2/5*z**2 - l*z = 0?
0, 1
Suppose -2*r + 0 - 4 = -4*n, -20 = -5*n - 5*r. Solve -3*f**4 - 10*f**3 + 8*f**n + 11*f**4 - 4*f**2 - 2*f**5 = 0.
0, 1, 2
What is c in -2*c**2 - 6 + 9*c**2 - 10*c**2 + 3*c - 12*c = 0?
-2, -1
Let y(m) = -36*m**4 + 76*m**3 - 45*m**2 + 6*m + 10. Let z(s) = -9*s**2 + 12*s**3 + s + 2*s**3 + s**3 + 2 - 7*s**4. Let a(q) = 2*y(q) - 11*z(q). Factor a(o).
(o - 1)**3*(5*o + 2)
Let p be (-2)/28*21*(-4)/24. Determine x, given that -1/2*x**4 + 3/4*x + p - 3/4*x**3 + 1/4*x**2 = 0.
-1, -1/2, 1
Let z(b) be the third derivative of -b**8/840 + b**7/105 - b**6/36 + b**5/30 - b**3/3 - 5*b**2. Let d(o) be the first derivative of z(o). Factor d(f).
-2*f*(f - 2)*(f - 1)**2
Let x(n) be the third derivative of -1/12*n**3 - 1/96*n**4 - 2*n**2 + 0*n + 0 + 1/240*n**5. Suppose x(i) = 0. What is i?
-1, 2
Let h(f) be the first derivative of 1/10*f**6 - 1 + 3/20*f**4 + 0*f**2 + 0*f + 0*f**3 - 6/25*f**5. Suppose h(v) = 0. Calculate v.
0, 1
Let a(b) be the first derivative of -b**4/18 + 2*b**3/9 + 4*b**2/9 - 8*b/3 - 24. Find i, given that a(i) = 0.
-2, 2, 3
Let u(w) be the third derivative of -w**10/20160 + w**9/2520 - w**8/896 + w**7/840 + w**4/24 + 2*w**2. Let m(n) be the second derivative of u(n). Factor m(k).
-3*k**2*(k - 2)*(k - 1)**2/2
Suppose -4*d - d = v + 12, 0 = -4*v + 4*d + 24. Let q be 1 - (-6 - -3)/3. Factor -v*g**q - 2*g + 3*g + 2*g + 6*g**2.
3*g*(g + 1)
Let v be -2*(66/4)/(-3). Suppose -3*w + 3*r = -18, -3*r = 5*w - 3 - v. Factor 0 + 1/2*c**5 + 0*c**2 + 0*c**3 + 0*c + 0*c**w.
c**5/2
Find i such that 6*i**5 - 4/7*i - 26/7*i**4 + 0 - 38/7*i**3 + 26/7*i**2 = 0.
-1, 0, 2/7, 1/3, 1
Let g(d) be the second derivative of -5/36*d**4 + 0*d**2 + 0 - 3*d + 7/60*d**5 - 1/9*d**3. Factor g(i).
i*(i - 1)*(7*i + 2)/3
Let a(t) = 2*t**2. Let l be a(-1). Let g be ((-875)/280 - (-3)/(-8)) + 4. Determine z, given that 1/2 + 3/2*z + 3/2*z**l + g*z**3 = 0.
-1
Factor 0*o - 1/3*o**3 + 0 - 2/3*o**2.
-o**2*(o + 2)/3
Suppose 2*i - 2 = 2. Suppose -5*c = -3*u - i*u + 10, -8 = -3*u + c. Solve -3*m**2 - 4*m + m**2 - u + 1 = 0.
-1
Let x(z) = z**3 + 3*z**2 + 4*z + 4. Let o be x(-2). Let g(p) be the third derivative of -1/30*p**5 + 0*p + 1/12*p**4 - p**2 + o*p**3 + 0. Factor g(l).
-2*l*(l - 1)
Let o(n) be the first derivative of 5*n**4/4 + 3*n**3 + 12*n**2/5 + 4*n/5 + 11. Factor o(v).
(v + 1)*(5*v + 2)**2/5
Factor 0 + v + 3/8*v**4 + 7/4*v**3 + 5/2*v**2.
v*(v + 2)**2*(3*v + 2)/8
Let x(i) = -i**2 + 8*i + 9. Let o be x(9). Suppose o = 5*q - 0 - 15. Let 0*r**4 - 2*r**4 + q*r**2 + r + 3*r**4 + 3*r**3 = 0. Calculate r.
-1, 0
Let g(y) = -y**2 + 8*y + 2. Let o be g(6). Let c(f) = f**2 - 6*f + 2. Let a be c(6). What is h in -a + 2 + o*h**2 + 4*h = 0?
-2/7, 0
Let x(h) be the first derivative of -h**7/420 + h**6/160 + h**5/80 - h**4/48 + 3*h**2/2 - 3. Let p(v) be the second derivative of x(v). Factor p(b).
-b*(b - 2)*(b + 1)*(2*b - 1)/4
Let w be (-2)/(8/(-6)*6/12). Determine t so that -2/7*t - 2/7 + 2/7*t**2 + 2/7*t**w = 0.
-1, 1
Suppose 0 = -6*t + 3*t + 6. Factor -144*m**2 + m + 144*m**t - m**3.
-m*(m - 1)*(m + 1)
Factor -1/4*t**3 + 0*t**2 + 1/2 + 3/4*t.
-(t - 2)*(t + 1)**2/4
Let s = 25 + -15. Suppose 2*n - 6 = v, -2*n - 5*v = -4*n - s. Determine k so that -1/2*k**n + 4 + 2*k**4 + 2*k - 1/2*k**3 - 5*k**2 = 0.
-1, 2
Let w(l) = -l**3 - 14*l**2 - 12*l + 12. Let i be w(-13). Let n be i - (6/(-4))/1. Let 1/2*g**3 + 1/2*g**2 - 1/2*g - n = 0. Calculate g.
-1, 1
Let j be 1*(-2)/(2/(-5)). Let s = j - 4. Let y(r) = -r + 1. Let x(g) = g**2 + 3*g - 4. Let p(h) = s*x(h) + 4*y(h). Suppose p(v) = 0. Calculate v.
0, 1
Let c = -41 + 89. Factor 8*m + 2*m**4 + 3*m**4 - 12*m**2 - c*m**3 - 33*m**4.
-4*m*(m + 1)**2*(7*m - 2)
Let b(t) = t**3 - 12*t**2 + 12*t - 6. Let g be b(11). Find a such that 5*a - 1 - 8*a - 7*a + 2*a**3 - g - 2*a**2 = 0.
-1, 3
Let p(c) be the third derivative of -c**8/1512 - 2*c**7/315 - 7*c**6/270 - 8*c**5/135 - c**4/12 - 2*c**3/27 + 11*c**2. What is i in p(i) = 0?
-2, -1
Let z = 324 + -970/3. What is q in z*q + 1/3*q**2 + 1/3 = 0?
-1
Let p = 38 - 38. Find q such that p + 1/2*q + 1/2*q**2 = 0.
-1, 0
Solve -1/2*m + 0 + 0*m**2 - 1/2*m**5 + 0*m**4 + m**3 = 0.
-1, 0, 1
Let m(k) be the first derivative of 1 + 2/3*k**3 + 0*k**2 - 2*k. Factor m(r).
2*(r - 1)*(r + 1)
Let h be 4 + 0 - 1 - (-6)/(-2). Suppose 4*g = -0*g. Let g + 0*t**4 + 2/9*t**2 + h*t + 2/3*t**3 - 8/9*t**5 = 0. What is t?
-1/2, 0, 1
Let g = 35 - 35. Let t(l) be the third derivative of 0*l**6 + 0*l**4 + 0*l**3 - 1/105*l**7 + g*l**5 + 0 - 2*l**2 + 0*l + 1/168*l**8. Factor t(q).
2*q**4*(q - 1)
Let v(q) be the first derivative of -q**6/9 - 2*q**5/5 - q**4/3 + 30. Factor v(m).
-2*m**3*(m + 1)*(m + 2)/3
Let j(k) be the first