+ 4*c**3. Solve v(o) = 0.
3
Let g(x) be the third derivative of -6*x**7/245 - 17*x**6/70 + 16*x**5/21 - 2*x**4/3 - 8*x**2. Determine w, given that g(w) = 0.
-7, 0, 2/3
Let l(o) = o**2. Let d(j) = 21 + 34*j + 11 + 2*j**2 - 10*j. Let s(z) = d(z) + 2*l(z). Factor s(k).
4*(k + 2)*(k + 4)
Let i(f) be the first derivative of 8/11*f**2 + 9 - 32/11*f - 2/33*f**3. Find r such that i(r) = 0.
4
Let p(b) = 30*b**3 + 79*b**2 + 9*b - 40. Let v(f) = 15*f**3 + 39*f**2 + 4*f - 20. Let q(u) = -4*p(u) + 9*v(u). Factor q(m).
5*(m + 1)*(m + 2)*(3*m - 2)
Let l(r) be the third derivative of 0*r**4 - r**2 + 1/210*r**7 + 1/336*r**8 + 0*r + 0*r**6 + 0 + 0*r**3 + 0*r**5. Factor l(f).
f**4*(f + 1)
Let c(a) = 30*a**4 + 52*a**3 + 53*a**2 - 96*a - 13. Let s(v) = -14*v**4 - 26*v**3 - 26*v**2 + 48*v + 6. Let t(m) = -6*c(m) - 13*s(m). Factor t(g).
2*g*(g - 1)*(g + 2)*(g + 12)
Let v(q) be the first derivative of 38*q**3/3 - 77*q**2/2 + 17*q - 4. Let j(k) = 75*k**2 - 155*k + 35. Let y(t) = -3*j(t) + 5*v(t). Factor y(b).
-5*(b - 2)*(7*b - 2)
Suppose 2*v = 5*v - 18. Suppose 89 = -25*t + 139. Solve 4*p + 2/3*p**t + v = 0.
-3
Let o = -1 + 6. Factor -5*b**2 - 6*b**5 + 228*b**3 + o*b**4 + b**5 - 223*b**3.
-5*b**2*(b - 1)**2*(b + 1)
Suppose -3*l + 7 = 2*h - 8, 2*h - 2*l = 0. Let s = 2 + h. Determine t, given that 4/11*t**s + 0 + 2/11*t**4 + 0*t**2 + 0*t - 2/11*t**3 = 0.
-1, 0, 1/2
Let y(n) be the third derivative of 5/3*n**3 + 0 + 1/84*n**7 + 11*n**2 - 5/12*n**4 + 0*n - 1/8*n**5 + 1/24*n**6. Factor y(l).
5*(l - 1)**2*(l + 2)**2/2
Let k(y) = -y**2 - 3*y + 24. Let t be k(-6). Let w be (-1)/t - 2/(-3). Determine h, given that 1/6*h**2 + 1/3 - w*h = 0.
1, 2
Let r be (-2)/(-2)*5/(-5) + -3. Let t(b) = 7*b**2 + 8*b - 17. Let x(q) = -3*q**2 - 4*q + 8. Let u(a) = r*t(a) - 9*x(a). Factor u(h).
-(h - 2)**2
Let o(a) be the first derivative of -7*a**6/30 + 16*a**5/15 - 2*a**4/3 - 4*a**2 - 8. Let u(s) be the second derivative of o(s). Factor u(g).
-4*g*(g - 2)*(7*g - 2)
Let r = 10 - 5. Suppose -9*t + 468 = -r*t. Factor -2*y + 117 - t + y**2.
y*(y - 2)
Let b(n) = -n**4 + n**3 - n - 1. Let r(t) = -4*t**4 + 14*t**3 + 30*t**2 + 39*t + 19. Let i(h) = -5*b(h) + r(h). Suppose i(f) = 0. What is f?
-3, -2
Let d(v) be the first derivative of v**7/210 - v**6/24 - 7*v**5/60 + 5*v**4/24 + v**3 - 13*v**2/2 + 9. Let f(b) be the second derivative of d(b). Factor f(l).
(l - 6)*(l - 1)*(l + 1)**2
Let n(z) be the first derivative of -z**3/3 - 4*z**2 + 20*z + 33. Factor n(a).
-(a - 2)*(a + 10)
Factor 4/3*a - 2/3 + 1/6*a**3 - 5/6*a**2.
(a - 2)**2*(a - 1)/6
Let n(f) be the first derivative of f**4/32 - f**3/8 + f**2/8 - 111. Factor n(s).
s*(s - 2)*(s - 1)/8
Let o(p) = -70*p**3 + 202*p**2 - 161*p + 40. Let x(a) = -14*a**3 + 40*a**2 - 32*a + 8. Let f(k) = 4*o(k) - 22*x(k). Factor f(g).
4*(g - 1)**2*(7*g - 4)
Suppose 2*p = 9 - 5. Suppose -r - s + 4 = 0, r - p*s + 2 = 3*s. Suppose -11*f**3 + 8*f**r - 4*f**2 + 6*f + 7*f**2 = 0. Calculate f.
-1, 0, 2
Suppose 2*z + d = 7, -84*z - 2*d = -79*z - 18. Determine v, given that 1/3*v - 1/3*v**3 + 0 - 1/3*v**2 + 1/3*v**z = 0.
-1, 0, 1
Let g(f) be the first derivative of -f**5/90 + f**4/54 - 10*f + 4. Let m(z) be the first derivative of g(z). Factor m(x).
-2*x**2*(x - 1)/9
Let n(k) be the third derivative of 0*k + 40*k**2 + 0*k**3 + 0 + 2/3*k**4 - 1/30*k**6 + 0*k**5. Find y, given that n(y) = 0.
-2, 0, 2
Let m be (-2)/8*7 + 2. Let t = 20688 - 20686. Factor 1/4*y**t - 1/2*y + m.
(y - 1)**2/4
Suppose 5*u = -t - 4*t + 45, -u - 3*t = -7. Let f = -7 + u. Factor -v**4 + 3*v**f - 5*v**2 - 4*v + 6*v + 10*v**5 - 11*v**5 + 2*v**4.
-v*(v - 1)**3*(v + 2)
Let y(z) = -15*z + 64. Let b be y(4). Let f(h) be the first derivative of -1/6*h**b + 5 + 2/3*h**3 - h**2 + 2/3*h. Factor f(l).
-2*(l - 1)**3/3
Let u be ((21 - 11) + -10)*-1. Let f(l) be the third derivative of 0*l**4 + u*l**3 + 0 + 0*l - 1/120*l**5 + 1/280*l**7 + 1/480*l**6 + 11*l**2. Factor f(a).
a**2*(a + 1)*(3*a - 2)/4
Suppose -11*z = -6*z - 10. Let g = 696 + -4869/7. Suppose g - 6/7*q + 3/7*q**z = 0. What is q?
1
Let a = -193/3 + 65. Factor -a*b**2 - 32/3 - 16/3*b.
-2*(b + 4)**2/3
Let p be 12/(-2 - 0)*(-10)/30. Factor 2*v + 33 + 2*v**p + 33 - 54 - 4*v**2.
-2*(v - 3)*(v + 2)
Let f(x) be the first derivative of -x**6/120 - x**5/20 - x**4/8 + 2*x**3/3 + 6. Let q(z) be the third derivative of f(z). What is l in q(l) = 0?
-1
Suppose 0 = 7*p - 2*p - 155. Let n = 37 - p. Factor -6*s - 4 + n*s**2 - 7*s**2 - 5.
-(s + 3)**2
Let n(x) = -x**3 + 5*x**2 + 4*x + 14. Let k be n(6). Factor -3*h**3 + 3/2*h**4 + 0 - 3/2*h**k + 3*h.
3*h*(h - 2)*(h - 1)*(h + 1)/2
Let q be 3 - -2 - 6/((-12)/(-6)). Let g(m) be the second derivative of 8/5*m**5 + 7/5*m**6 + q*m + 2/3*m**4 + 3/7*m**7 + 0*m**2 + 0*m**3 + 0. Factor g(f).
2*f**2*(f + 1)*(3*f + 2)**2
Let k(n) = -n**3 - 4*n**2 - 13*n - 87. Let x be k(-5). Factor -1/5*y**x - y**2 + 0 + 6/5*y.
-y*(y - 1)*(y + 6)/5
Factor 2*a - a**2 + 7*a**4 - 5*a**2 + 16*a**4 + a - 17*a**4 - 3*a**5.
-3*a*(a - 1)**3*(a + 1)
Let q(k) = -53*k**2 + 580*k + 35. Let h be q(11). Factor 2/7 + 5/7*t**h - t.
(t - 1)*(5*t - 2)/7
Let h be 6 - (1 + 0 + 2). Suppose h*s = 3 + 3. Factor -s*k**5 + 4*k**2 - 4*k - 20 + 10*k + 22 - 6*k**4 - 4*k**3.
-2*(k - 1)*(k + 1)**4
Let p(i) be the second derivative of i**6/195 - i**5/78 + i**4/156 + i**2/2 + 11*i. Let j(w) be the first derivative of p(w). Factor j(m).
2*m*(m - 1)*(4*m - 1)/13
Let x(v) = -21*v**2 - 69*v - 12. Let l(g) = 22*g**2 + 67*g + 12. Let d(h) = 3*l(h) + 4*x(h). Find z such that d(z) = 0.
-4, -1/6
Let m be (33/330)/((-4)/(-32)). Factor 6/5*n**2 - 2/5*n + 0 - m*n**3.
-2*n*(n - 1)*(2*n - 1)/5
Let i be 384/28 + (-2)/(-7). Suppose 4*f + i = -5*b - 3, 3*b + 17 = f. Factor 2/5*v**f + 6/5*v + 4/5.
2*(v + 1)*(v + 2)/5
Suppose -5*v + 8 = -4*q - 4, -3*v - 5*q + 22 = 0. Let c(u) be the first derivative of v*u - 2/3*u**3 - 3 + u**2. Let c(n) = 0. Calculate n.
-1, 2
Let t(v) be the second derivative of 10*v**3 - 5/2*v**4 + 16*v + 1/4*v**5 + 0 - 20*v**2. Factor t(c).
5*(c - 2)**3
Let n(x) be the first derivative of x**6/3 + 38*x**5/35 - 3*x**4/7 - 194. Factor n(j).
2*j**3*(j + 3)*(7*j - 2)/7
Let 38/7*f - 2/7*f**2 - 36/7 = 0. Calculate f.
1, 18
Let a(m) be the second derivative of 1/2*m**2 + 10*m - 4/9*m**3 + 0 - 1/12*m**4. Determine o so that a(o) = 0.
-3, 1/3
Let u(b) = -b**5 + 2*b**4 - b**3 + 3*b. Let g(y) = -y**5 + 4*y**4 - 3*y**3 + 5*y. Let q(i) = 6*g(i) - 10*u(i). Factor q(h).
4*h**3*(h - 1)*(h + 2)
Suppose 0*w - 3*w + 2*j + 16 = 0, 2*w + j + 1 = 0. Let r be (0 - (2 + -2))/(-2). What is z in 2*z**3 + 2*z**w + 2*z - 2 + z + r*z - 5*z = 0?
-1, 1
Solve 1/7*q**2 + 12/7 - 13/7*q = 0 for q.
1, 12
Let p(f) = 99*f**2 + 2*f - f**3 + 7*f**3 - 105*f**2 - 6. Let n(b) = b**3 - b - 1. Let z(l) = -4*n(l) + p(l). Find d such that z(d) = 0.
1
Let u(q) be the second derivative of 0 + 9/4*q**4 + 729/2*q**2 - 30*q + 81/2*q**3 + 1/20*q**5. What is o in u(o) = 0?
-9
Suppose 9*w**4 + 9*w**2 + 30*w - w**3 - 7*w**3 - 40*w**3 = 0. What is w?
-2/3, 0, 1, 5
Suppose -112 + 102 = -4*o - 2*n, 0 = -5*o - 4*n + 11. Factor 1/5*p**4 - 1/5*p**o + 0 - 1/5*p**2 + 1/5*p**5 + 0*p.
p**2*(p - 1)*(p + 1)**2/5
Suppose -32/5*t**3 + 46/5*t**2 + 4*t - 16/5 - 42/5*t**4 = 0. What is t?
-1, 4/7, 2/3
Let c(j) be the second derivative of j**6/30 + 3*j**5/10 + 5*j**4/12 - 17*j. Let t(i) = 2*i**4 + 13*i**3 + 11*i**2. Let d(p) = -7*c(p) + 3*t(p). Factor d(h).
-h**2*(h + 1)*(h + 2)
Let r be 267/((-5)/(-5)*5 - 4). Let y = -267 + r. Factor y + m**4 - m**5 + 0*m + 1/2*m**2 + 7/4*m**3.
-m**2*(m - 2)*(2*m + 1)**2/4
Let r = 55 + 26. Solve -10 - m - 80*m**2 + r*m**2 - 8*m = 0.
-1, 10
Suppose 0 - 18/13*s - 2/13*s**2 = 0. Calculate s.
-9, 0
Let o(x) be the second derivative of x**4/12 - x**2/2 + 4*x. Let c(a) = -5*a**5 + 10*a**4 + 5*a**3 - 10. Let g(d) = -c(d) + 10*o(d). Factor g(i).
5*i**2*(i - 2)*(i - 1)*(i + 1)
Let w(j) be the second derivative of 1/15*j**3 + 0 + 0*j**2 - 3*j - 1/30*j**4. Factor w(r).
-2*r*(r - 1)/5
Let h(n) be the second derivative of 1/30*n**3 - 4*n - 4 - 1/120*n**4 + 0*n**2. Determine y so that h(y) = 0.
0, 2
Let v = 6354 + -6350. Suppose 1/4*b**v + b + b**3 + 3/2*b**2 + 1/4 = 0. What is b?
-1
Let w be (-78)/(-30) - 2/(-5). Let q be (6/(-9))/(6/(-27)). Let 4*a**w - 5*a**2 - q*a**2 - 4*a**2 + 4*a**4 - 4*a + 8 = 0. What is a?
-2, -1, 1
Factor -8 - 