2*t + 0 + 0*t**2 + 0*t**3 + 1/6*t**4. Factor l(c).
c**2*(c + 2)*(4*c + 1)
Find j, given that 2/15*j**2 + 0*j + 0 = 0.
0
Let l = 134 - 265/2. Let t(k) be the second derivative of l*k**3 + 3*k - 3/5*k**5 + 0*k**4 - 3/2*k**2 + 0. Factor t(h).
-3*(h + 1)*(2*h - 1)**2
Let j(y) = 3 + 7 - 4*y + 0 + 3*y. Let f be j(8). Determine s so that -4/9*s**f + 0 + 2/9*s**4 - 2/9*s**3 + 0*s = 0.
-1, 0, 2
Let a(g) = 5*g**3 + 9*g**2 + 16*g - 6. Let i(w) = -70*w**3 - 125*w**2 - 225*w + 85. Let z(p) = -85*a(p) - 6*i(p). Factor z(v).
-5*v*(v + 1)*(v + 2)
Let l be 15/20 + (-3)/6. Suppose -l*s + 1/4*s**2 - 1/2 = 0. Calculate s.
-1, 2
Suppose -4 = 5*n - 34. Let m(d) be the third derivative of 0 + 0*d**3 - 7/60*d**5 + 0*d - 2*d**2 - 1/12*d**4 + 1/30*d**n. Factor m(z).
z*(z - 2)*(4*z + 1)
Let d(p) be the first derivative of p**4/16 + p**3/12 - p**2/2 - p - 52. Suppose d(r) = 0. Calculate r.
-2, -1, 2
Solve 4/9*l + 2/9*l**2 + 0 = 0.
-2, 0
Let l(q) be the third derivative of 2*q**7/525 + q**6/50 + q**5/25 + q**4/30 - q**2. Factor l(u).
4*u*(u + 1)**3/5
Suppose 0 = j + 3*m - 2*m + 2, -4*m - 23 = -j. Factor -t**3 - t**5 - 4*t**4 + 2*t**4 + 0*t**j.
-t**3*(t + 1)**2
Let f = 18 + -34. Let y(x) = -x**3 - 17*x**2 - 16*x + 3. Let w be y(f). Determine s so that 0*s + 0 - 2/3*s**w + 4/3*s**2 = 0.
0, 2
Suppose 0 = -16*o + 21*o. Suppose o*b - 4 = -2*b. Let 0 + 3/5*n + 3/5*n**b = 0. What is n?
-1, 0
Let x = -5 + 15. Find t such that 0 - 2*t**3 - x*t**2 - 2 - 6*t + 4*t**2 = 0.
-1
Let w(k) = 8*k**2 + 3*k - 6. Let j(i) = 7*i**2 - 3. Let u(n) = n - 1. Let r(a) = -j(a) - 3*u(a). Let h(c) = 5*r(c) + 4*w(c). Determine g, given that h(g) = 0.
-2, 1
Let y = 81/32 + -2021/800. Let j(b) be the third derivative of y*b**6 + 0 - 3/100*b**5 + 0*b + 3/40*b**4 - 1/10*b**3 - 4*b**2. Factor j(w).
3*(w - 1)**3/5
Suppose 43*f - 66 - 5*f**2 - 14 + 42*f = 0. What is f?
1, 16
Let v(l) be the third derivative of -l**7/14 + 27*l**6/40 - 2*l**5 + 3*l**4/2 + 20*l**2. Factor v(u).
-3*u*(u - 3)*(u - 2)*(5*u - 2)
Let n(f) be the third derivative of f**6/180 + f**5/60 - f**4/6 - f**3/3 + 2*f**2. Let m(k) be the first derivative of n(k). Factor m(l).
2*(l - 1)*(l + 2)
Let i = 392 - 389. Factor 1/5*f**4 + 2/5*f**i + 0 + 0*f**2 + 0*f.
f**3*(f + 2)/5
Let f = -16 + 19. Let x(r) be the first derivative of -1/2*r**2 - 1/12*r**4 + 1/3*r**f + 1/3*r + 2. Factor x(a).
-(a - 1)**3/3
Let x be 6/15 + 66/10. Factor 2*d**5 + x*d**3 - 5*d**4 - 3*d**3 + 11*d**4.
2*d**3*(d + 1)*(d + 2)
Let k(r) be the first derivative of -3*r**5/5 + 3*r**4/4 + r**3 - 3*r**2/2 - 1. What is w in k(w) = 0?
-1, 0, 1
Let i(r) = 4*r**2 + r + 1. Let w be i(-1). Factor -2 - 32*m**2 - 16*m - 1 - 3 + w.
-2*(4*m + 1)**2
Let j(r) = -2*r**3 + 14*r**2 - 26*r + 16. Let k(d) = 10*d**3 - 71*d**2 + 131*d - 80. Let p(h) = -11*j(h) - 2*k(h). Factor p(u).
2*(u - 2)**3
Suppose -5*d = 30 + 5. Let c = 10 + d. Factor 3*t**5 + 2*t**4 + t**c - t**3 - t**3.
t**3*(t + 1)*(3*t - 1)
Let l(i) be the first derivative of 3*i**5/80 + i**4/8 + i**3/6 + 3*i**2/2 + 3. Let c(x) be the second derivative of l(x). Determine h so that c(h) = 0.
-2/3
Let g = 96723/340 + -1137/4. Let j = g + -1/34. Determine r so that j*r**4 - 1/5*r + 1/5*r**3 - 1/5*r**2 + 0 = 0.
-1, 0, 1
Let v be ((-3)/((-3)/(-2)))/(-1). Let q be -2*(4/v + -3). Find j such that q*j**4 + 12*j**2 - 6 + 0 + 8 - 8*j**3 - 8*j = 0.
1
Solve -z**2 - 7/2*z**4 - 7*z**3 + 9/2 - 1/2*z**5 + 15/2*z = 0.
-3, -1, 1
Suppose 0*c - c + 3*p = 0, 2*p = 0. Let w(g) be the first derivative of 3 + 1/2*g**4 - 4/3*g**3 + c*g + 0*g**2. Let w(a) = 0. Calculate a.
0, 2
Let p(g) = -g**3 + g**2 + g. Let o(i) = -2*i**4 + 18*i**3 - 24*i**2 + 2*i. Let j(r) = o(r) + 6*p(r). Factor j(f).
-2*f*(f - 4)*(f - 1)**2
Suppose 3*p - u - 12 = 0, 5*p - 10*p + u = -18. Let 4/3 - 4/3*d**p + 2/3*d**5 + 4/3*d**4 + 2/3*d - 8/3*d**2 = 0. What is d?
-2, -1, 1
Let d(r) = -3*r**4 + 5*r**3 - 2. Let t(j) = -3*j**4 + 6*j**3 - 3. Let i(x) = -3*d(x) + 2*t(x). Factor i(p).
3*p**3*(p - 1)
Let n be (2/9)/((-128)/(-12)). Let p(w) be the second derivative of 1/12*w**3 + 0 - n*w**4 + w - 1/8*w**2. Determine z, given that p(z) = 0.
1
Let y(u) = 3*u**4 + 12*u**3 + 18*u**2 + 14*u + 3. Let t(q) = -12*q**4 - 48*q**3 - 72*q**2 - 57*q - 12. Let z(f) = 2*t(f) + 9*y(f). Factor z(a).
3*(a + 1)**4
Suppose -u = 5*j - 18, -j - 4*j = 5*u - 30. Let a = 8 + -5. Factor 4*c**3 + c - j*c**a + 2*c**3 - 4*c.
3*c*(c - 1)*(c + 1)
Suppose 10*t - 8*t = 0. Let g(f) be the third derivative of -1/36*f**4 + 0 - 1/18*f**3 - f**2 - 1/180*f**5 + t*f. Factor g(l).
-(l + 1)**2/3
Let k = -26 - -29. Factor 0*s**4 - 4*s**2 + 2*s**4 - 5*s + s**k - s**2 + 7*s.
s*(s - 1)*(s + 2)*(2*s - 1)
Let i(h) be the second derivative of -h**4/2 - h**3/2 + 3*h**2/2 + 5*h. Suppose i(t) = 0. What is t?
-1, 1/2
Let g be ((-16)/(-4) + -2)/1. Let m(v) be the third derivative of 0*v + 0 + v**g + 0*v**6 + 1/150*v**5 + 0*v**4 - 1/525*v**7 + 0*v**3. Factor m(o).
-2*o**2*(o - 1)*(o + 1)/5
Factor 3*n**2 - 5*n**3 - 20 - 18*n**2 - 56*n - 10*n**2 + 16*n.
-5*(n + 1)*(n + 2)**2
Let a = -293 + 5859/20. Let r = a + 11/20. Factor -7/4*z**2 + 1/4 - r*z - z**3.
-(z + 1)**2*(4*z - 1)/4
Let o(s) be the first derivative of 17*s**5 + 5*s**4/2 - 6. Determine m, given that o(m) = 0.
-2/17, 0
Let t(i) = -i**3 - 2*i**2 - 5*i + 2. Let p(s) be the first derivative of s**4/4 + s**3/3 + s**2/2 - 4. Let l(f) = -2*p(f) - t(f). Suppose l(y) = 0. What is y?
-2, 1
Let j be (-10)/(-140) - -2*(-6)/(-28). Suppose -c**4 + 0 + j*c + c**2 - 1/2*c**3 = 0. Calculate c.
-1, -1/2, 0, 1
Let c = 2 - 5. Let j be (16/12)/(c/(-9)). Solve -4/5 - 3/5*r**j + 7/5*r**2 + 8/5*r + 9/5*r**5 - 17/5*r**3 = 0 for r.
-1, 2/3, 1
Let t be (0/((-12)/(-3)))/3. Let w(k) be the second derivative of -2*k - 1/6*k**4 + 0 + t*k**3 + k**2. Factor w(r).
-2*(r - 1)*(r + 1)
Let p(n) be the first derivative of -2*n**3/9 - 5*n**2/3 + 14. Factor p(v).
-2*v*(v + 5)/3
Let n(l) be the first derivative of -l**5/40 - l**4/24 + 7*l - 3. Let r(h) be the first derivative of n(h). Factor r(m).
-m**2*(m + 1)/2
Suppose 0 = -3*g + 4*t - 47, 0*g - 4*g + 3*t - 51 = 0. Let a = -35/4 - g. Suppose -1/2*b**3 + 0*b - a*b**2 + 0 - 1/4*b**4 = 0. What is b?
-1, 0
Let -16*p**2 + 12*p**3 + 24*p + 280*p**4 - 10*p**2 - 8 - 282*p**4 = 0. What is p?
1, 2
Let c(h) be the second derivative of 7*h**4/12 - h**3/2 + 27*h. Determine n so that c(n) = 0.
0, 3/7
Let p(i) be the second derivative of -i**5/20 + i**4/3 - i**3/2 + 6*i. Factor p(c).
-c*(c - 3)*(c - 1)
Let a(y) = -y**4 + 8*y**3 - 8*y**2 + 7*y. Let i(z) = -3*z**4 + 23*z**3 - 24*z**2 + 20*z. Let r(m) = -8*a(m) + 3*i(m). Find b such that r(b) = 0.
0, 1, 2
Let h(o) be the first derivative of o**4/4 + o**3/3 - 6. Let h(j) = 0. What is j?
-1, 0
Let q(y) be the third derivative of -y**6/120 + y**5/15 - 5*y**4/24 + y**3/3 + 7*y**2. Factor q(x).
-(x - 2)*(x - 1)**2
Let r(b) = -7*b**2 + 9*b - 5. Let t(k) = -13*k**2 + 17*k - 9. Let p(x) = 5*r(x) - 3*t(x). Factor p(q).
2*(q - 1)*(2*q - 1)
Let k(v) = 3*v**2 - 20*v + 13. Let w(g) = -3*g**2 + 19*g - 14. Let d(b) = -4*k(b) - 5*w(b). Let d(c) = 0. Calculate c.
2, 3
Let w(y) be the third derivative of -y**7/42 + y**6/15 + 19*y**5/60 + y**4/4 - 12*y**2. Factor w(n).
-n*(n - 3)*(n + 1)*(5*n + 2)
Suppose 3*s - 2 = -2*b, -s = 5*b - 5*s - 28. Let -2*q**2 - 2*q**b + 9*q**3 - 4*q**4 - q**4 = 0. Calculate q.
0, 2/7, 1
Suppose 0 = -m + 5*q - 13, 3*m - q - 2*q + 15 = 0. Let s(h) = -h**3 - 3*h**2 - 2*h - 4. Let d be s(m). Factor -4 - 24*l**d - 6*l**3 - 3*l**3 + 2 - 13*l.
-(l + 2)*(3*l + 1)**2
Solve 21*f**2 - 36/5*f + 36/5*f**3 + 3/5*f**4 - 108/5 = 0.
-6, -1, 1
Let o(z) be the second derivative of 0 - 1/6*z**4 - 2*z**2 - z - 1/3*z**3 - 1/40*z**5. Let n(j) be the first derivative of o(j). Factor n(k).
-(k + 2)*(3*k + 2)/2
Let 8*w**2 - 8 + 5*w**2 + 6*w - 11*w**2 = 0. Calculate w.
-4, 1
Factor -22/3*g - 10/3*g**2 - 4/3.
-2*(g + 2)*(5*g + 1)/3
Let h(y) be the second derivative of 3*y + 4*y**3 + 0 + 7/6*y**4 - 4*y**2. Let j(o) = -7*o**2 - 12*o + 4. Let t(d) = 6*h(d) + 14*j(d). Solve t(w) = 0 for w.
-2, 2/7
Suppose 2*l**2 + 0*l + 5*l**3 + 0*l - 7*l**3 = 0. Calculate l.
0, 1
Let y(b) be the second derivative of 1/10*b**5 + 0*b**6 + b + 0*b**2 + 0 + 0*b**4 - 1/6*b**3 - 1/42*b**7. Factor y(d).
-d*(d - 1)**2*(d + 1)**2
Suppose -3*f = -7*f + 12. Let y(x) be the second derivative of -1/3*