 - 1/84*v**4. Factor i(z).
-2*z*(z + 1)/7
Factor -8/3*j**3 + 6*j**2 - 4/3*j + 0.
-2*j*(j - 2)*(4*j - 1)/3
Let v(a) be the first derivative of 2*a**2 - 3 - 2/3*a**3 + 0*a. Factor v(g).
-2*g*(g - 2)
Let q be 482*2/240 + -4. Let j(t) be the second derivative of -2*t**2 + 1/3*t**3 - 1/8*t**5 + 1/4*t**4 + q*t**6 + 2*t + 0. Suppose j(b) = 0. Calculate b.
-1, 2
Factor -3/2*c - 39*c**4 + 21/2*c**5 + 3 + 51*c**3 - 24*c**2.
3*(c - 1)**4*(7*c + 2)/2
Let r be (-2 - -3)*(-22)/2. Let l = -7 - r. Factor -2*v**3 + 0*v**3 - v - v - l*v**2.
-2*v*(v + 1)**2
Let t(u) be the first derivative of 0*u**2 + 1/5*u**4 + 2/25*u**5 + 4 + 0*u**3 + 0*u. Factor t(s).
2*s**3*(s + 2)/5
Suppose -m = -6*m + 5. Let k = 5 - m. Determine j, given that -8/3 - 2/3*j**k - 26/3*j**2 + 8*j + 4*j**3 = 0.
1, 2
Let v(r) be the first derivative of 0*r + 2/5*r**5 + 7 + 2/3*r**3 + r**4 + 0*r**2. Solve v(t) = 0 for t.
-1, 0
Suppose -5*h + 23 = -12. Suppose -h*b + 2*b = 0. Find f such that b + 2/11*f**3 + 2/11*f - 4/11*f**2 = 0.
0, 1
Factor -8/13 + 10/13*x - 2/13*x**2.
-2*(x - 4)*(x - 1)/13
Let d(i) be the second derivative of i**4/66 - 2*i**3/33 - 3*i**2/11 + 9*i. What is c in d(c) = 0?
-1, 3
Let m(v) be the third derivative of 1/840*v**8 - 1/175*v**7 + v**2 - 1/150*v**5 + 0*v**3 + 0 + 1/100*v**6 + 0*v**4 + 0*v. Factor m(g).
2*g**2*(g - 1)**3/5
Let s(m) = 5*m**2 + m - 2. Let f(c) = 6*c**2 - 3. Let l(w) = -2*f(w) + 3*s(w). Factor l(i).
3*i*(i + 1)
Let v(u) be the third derivative of -u**7/840 + u**6/160 - u**5/120 + 19*u**2. Determine k so that v(k) = 0.
0, 1, 2
Factor -2*b**2 + 356*b**3 - 355*b**3 - 2*b**2.
b**2*(b - 4)
Let t(p) be the third derivative of p**8/112 - p**7/70 - 3*p**6/40 + p**5/20 + p**4/4 + 4*p**2. Suppose t(d) = 0. Calculate d.
-1, 0, 1, 2
Let p = 253/3 - 83. Find y such that -1/3 + 4/3*y**3 + 1/3*y**2 - p*y = 0.
-1, -1/4, 1
Suppose c + 3*i = -3 - 2, c - 2*i = 10. Suppose 3*p - 3*v + v = -c, 4*p - 33 = -5*v. Factor 0 - 1/2*h + 0*h**p + 0*h**4 - 1/2*h**5 + h**3.
-h*(h - 1)**2*(h + 1)**2/2
Let d(z) = 65*z**4 - 120*z**3 + 81*z**2 - 27*z + 9. Let b(p) = -33*p**4 + 60*p**3 - 40*p**2 + 13*p - 4. Let n(t) = -7*b(t) - 3*d(t). Factor n(f).
(2*f - 1)**2*(3*f - 1)**2
Let m(r) be the second derivative of 0 - 1/14*r**4 - 4*r + 1/21*r**3 - 2/35*r**5 + 0*r**2. Factor m(k).
-2*k*(k + 1)*(4*k - 1)/7
Let 0*x + 2/3*x**2 + 0 + 0*x**3 - 2*x**4 - 4/3*x**5 = 0. What is x?
-1, 0, 1/2
Suppose -z = 4*z, 0 = -i - 2*z + 3. Solve 3*b - 4*b**3 - 6*b**4 + 16*b**i - 12*b**2 + 3*b**3 = 0.
0, 1/2, 1
Let d = 6 + -3. Let x(b) = 2*b + 1 - b**d - 2*b - b + b**2. Let i(n) = -n**3 + 5*n**2 - 3*n + 3. Let z(k) = i(k) - 3*x(k). Suppose z(v) = 0. Calculate v.
-1, 0
Let m(z) be the third derivative of z**5/15 + z**4/2 + 4*z**3/3 + 10*z**2. Find b, given that m(b) = 0.
-2, -1
Let k(j) be the first derivative of -1/3*j**3 + 0*j**2 - 1 + 0*j. Factor k(b).
-b**2
Suppose 2 + 8 = 5*s. Let 8/7 + 2/7*u**s + 8/7*u = 0. Calculate u.
-2
Determine w so that -17 + 65 + 48*w**3 - 17*w**2 - 7*w**2 - 48*w + 3*w**5 - 2*w**4 - 19*w**4 = 0.
-1, 2
Let g(d) = d**3 - 13*d**2 + 13*d - 9. Let c be g(12). Let l = c - 1/3. Determine t so that t**3 - 4/3*t + 0 + 3*t**4 - l*t**2 = 0.
-2/3, 0, 1
Let a(x) be the first derivative of -1 - 44/9*x**3 + 157/18*x**4 + 9/5*x**6 - 33/5*x**5 + 4/3*x**2 - 2*x. Let w(i) be the first derivative of a(i). Factor w(z).
2*(z - 1)**2*(9*z - 2)**2/3
Let k(b) be the first derivative of 8/75*b**5 - 8/45*b**3 + 1/15*b**6 - 6 - 1/15*b**2 + 0*b - 1/15*b**4. Suppose k(w) = 0. Calculate w.
-1, -1/3, 0, 1
Let k(y) be the second derivative of -y**5/70 - 8*y. Determine g, given that k(g) = 0.
0
Let x(j) be the first derivative of -4 - 8*j - 4*j**2 - 2/3*j**3. Find i, given that x(i) = 0.
-2
Let o be 2/(-8) + (-18)/(-8). Suppose -10 = -6*c + 8. Suppose 1/2*g**c + 0 + 0*g + 0*g**o = 0. What is g?
0
Let g = 112 + -107. Factor 0 - 1/5*c**2 + 0*c + 3/5*c**3 + 0*c**4 - 4/5*c**g.
-c**2*(c + 1)*(2*c - 1)**2/5
Let h(s) be the first derivative of 1/2*s**2 + 1/20*s**5 + 3 + 0*s + 0*s**3 + 1/4*s**4. Let u(q) be the second derivative of h(q). Factor u(r).
3*r*(r + 2)
Let n(g) = g**2 - 39*g - 162. Let s(b) = -38*b - 162. Let m(v) = -2*n(v) + 3*s(v). Factor m(h).
-2*(h + 9)**2
Let c = 10 + -9. Let m(y) be the first derivative of -2/25*y**5 + 0*y + 2/15*y**3 + 1/15*y**6 + 0*y**2 - c - 1/10*y**4. Factor m(w).
2*w**2*(w - 1)**2*(w + 1)/5
Let q be (-11)/(-55) + 8/(-42). Let l(c) be the second derivative of -3*c + 0 + 2/35*c**5 + 2/21*c**4 + q*c**6 + 0*c**2 + 0*c**3. Factor l(r).
2*r**2*(r + 2)**2/7
Let g(h) = -2*h**3 + 2*h**2 + 7*h - 7. Let o(w) be the first derivative of -w**2/2 + w + 4. Let d(b) = -g(b) - 5*o(b). Solve d(s) = 0.
-1, 1
Let a be 7/3 + (-2)/(-3). Let s(z) = z + 19. Let y be s(-17). Factor 0*t**4 + 5*t**4 - 2*t**y - a*t**4 + 2*t - 2*t**3.
2*t*(t - 1)**2*(t + 1)
Factor 0 - 4/9*y**2 - 2/3*y**3 - 1/9*y - 1/9*y**5 - 4/9*y**4.
-y*(y + 1)**4/9
Let u be (4*1)/((-8)/(-12)). Suppose 0 = -u*m + m + 20. Factor -2/7*g**5 + 0 + 2/7*g**3 - 2/7*g**2 + 0*g + 2/7*g**m.
-2*g**2*(g - 1)**2*(g + 1)/7
Let b be (0/((-28)/4))/(3 + 0). Factor 1/5*l + 0 - 2/5*l**2 + b*l**3 - 1/5*l**5 + 2/5*l**4.
-l*(l - 1)**3*(l + 1)/5
Let n(r) be the second derivative of -r**7/1260 + r**6/180 - r**5/60 - r**4/12 - 4*r. Let y(i) be the third derivative of n(i). Suppose y(x) = 0. Calculate x.
1
Let x be (-10)/(-225)*(-3)/(-8). Let t(v) be the second derivative of 0*v**4 - v + 0 + x*v**5 + 0*v**2 - 1/18*v**3. Factor t(q).
q*(q - 1)*(q + 1)/3
Let y(h) = h**5 - 8*h**4 + 8*h**2 + 5*h. Let m(q) = -q**5 + 7*q**4 - 7*q**2 - 4*q. Let u(d) = 6*m(d) + 5*y(d). What is n in u(n) = 0?
-1, 0, 1
Let g = -18 + 21. Suppose -3*w + 12 = 0, -g*o - 2*o + 5*w - 20 = 0. Solve 0 - 2/9*h**3 + o*h**2 + 0*h = 0.
0
Suppose 34 - 46 = -3*t. Let n(o) be the second derivative of 1/21*o**t - 1/21*o**6 + 0 - 3*o + 0*o**3 + 0*o**2 - 3/70*o**5. Factor n(g).
-2*g**2*(g + 1)*(5*g - 2)/7
Let u(r) be the third derivative of -r**6/360 + r**4/72 + 30*r**2. What is o in u(o) = 0?
-1, 0, 1
Let m(i) be the third derivative of i**5/30 + i**4/12 - i**3/3 + i**2. Let t(v) = 2*v**2 + 2*v - 3. Let p(b) = 3*m(b) - 2*t(b). Factor p(a).
2*a*(a + 1)
Suppose -7*z + 15*z = 16. Determine s, given that 4/3 - 2*s + 0*s**z + 2/3*s**3 = 0.
-2, 1
Let u(v) be the first derivative of v**4/10 - 2*v**3/5 + 2*v**2/5 + 10. Factor u(h).
2*h*(h - 2)*(h - 1)/5
Factor -35*c - 50 + 56*c**2 - 26*c**2 - 35*c**2.
-5*(c + 2)*(c + 5)
Suppose -2*b**4 + 5*b**2 - 8*b**3 + 4*b**3 - 2*b**4 + 3*b**2 = 0. What is b?
-2, 0, 1
Let c(y) be the first derivative of 2*y**6/3 - 6*y**4 + 32*y**3/3 - 6*y**2 + 22. Let c(x) = 0. What is x?
-3, 0, 1
What is m in 3/8*m**3 + 9/4*m + 0 + 15/8*m**2 = 0?
-3, -2, 0
Let o(m) be the second derivative of 9*m - 5/12*m**5 + 5/6*m**4 + 0 + 2*m**3 + 4/3*m**2. Factor o(a).
-(a - 2)*(5*a + 2)**2/3
Let h(n) be the second derivative of n**7/112 + n**6/20 + 3*n**5/40 - 11*n. Find k such that h(k) = 0.
-2, 0
What is p in -9/4*p + 3/2*p**2 + 1 - 1/4*p**3 = 0?
1, 4
Determine z so that -3*z + 3*z**2 - 20 + 3*z + 17 = 0.
-1, 1
Let x = 0 - -4. Let m be (-16)/(-72) + x/(-18). Factor -1/3*q**4 + 1/3*q**2 + 0*q**3 + 0 + m*q.
-q**2*(q - 1)*(q + 1)/3
Let j = -54 - -58. Let d(a) be the second derivative of 0 + 1/4*a**j - 3/2*a**2 - 4*a + 0*a**3. Factor d(z).
3*(z - 1)*(z + 1)
Suppose 7*u = 11*u + 88. Let n = -20 - u. Factor 2*h - 1/2*h**4 - 3*h**n + 2*h**3 - 1/2.
-(h - 1)**4/2
Let n(l) = l**3 - 7*l**2 + 6*l + 4. Let r be n(6). Solve -4*o**2 - 12*o**3 - 5*o**5 + o**5 - 14*o**4 + 2*o**r = 0 for o.
-1, 0
Let m(g) be the first derivative of 4*g**5/5 - 4*g**3 - 4*g**2 - 7. What is a in m(a) = 0?
-1, 0, 2
Solve 4/7*n**2 + 0 + 12/7*n = 0 for n.
-3, 0
Factor 0*u**2 + 0 + 1/9*u - 1/9*u**3.
-u*(u - 1)*(u + 1)/9
Let l(q) = 7*q**4 - 5 + 3*q**3 - 4*q - q**2 - q + q**2. Let k(a) = -10*a**4 - 4*a**3 + 7*a + 7. Let i(d) = 5*k(d) + 7*l(d). Factor i(m).
-m**3*(m - 1)
Let z(m) be the first derivative of m**6/30 + m**5/15 + m**4/36 + 2*m - 4. Let n(b) be the first derivative of z(b). Factor n(q).
q**2*(q + 1)*(3*q + 1)/3
Let d = -1 - -4. Let a be (-80)/(-36) + (-6)/27. Let -b**3 - 2*b**d + a*b**5 + 2*b**4 + 4*b**5 + 3*b**4 - 2*b**2 = 0. What is b?
-1, -1/2, 0, 2/3
Let g be 7/14 + 11/2. Let n = g - 3. Find t such that 1/5*t**4 + 0 + 0*t**n - 1/5*t**2 + 0*t = 0.
-