a) = 0. Calculate a.
-2, -1, 0, 3
Determine y so that 2*y**4 + 46*y**2 - 45*y + 56*y**2 - 26*y**3 - 144*y + 63*y = 0.
0, 3, 7
Let z(i) be the third derivative of 0*i + 0 - 7*i**2 + 0*i**3 - 1/36*i**4 - 1/90*i**5. Suppose z(k) = 0. What is k?
-1, 0
Let t be ((-8)/3)/(-4)*-33. Let m(k) = -k**3 + 2*k**2 - k - 3. Let g(c) = -4*c**3 + 8*c**2 - 4*c - 11. Let y(d) = t*m(d) + 6*g(d). Let y(u) = 0. What is u?
0, 1
Let s(i) be the first derivative of -i**4/20 - i**3/3 + i**2/10 + i + 95. Factor s(q).
-(q - 1)*(q + 1)*(q + 5)/5
Factor -685/4*k**4 + 0 + 25/4*k**5 + 135/2*k**3 + 0*k + 0*k**2.
5*k**3*(k - 27)*(5*k - 2)/4
Let o be ((-2)/(-5))/(2/80). Suppose 0 = -3*j + 2*a + 14, -3*j + o = -5*a + a. Factor 2*r**4 + 0*r**j - 2*r**2 + 2*r**4 - 2*r**4.
2*r**2*(r - 1)*(r + 1)
Let a(f) be the third derivative of 0*f - 11*f**2 - 1/24*f**6 + 0*f**3 + 0*f**5 + 0*f**4 + 0 + 1/252*f**7. Factor a(h).
5*h**3*(h - 6)/6
Factor 3/7*o**3 + 69/7*o + 30/7*o**2 + 6.
3*(o + 1)*(o + 2)*(o + 7)/7
Let h = -59 - -41. Let b = -16 - h. Factor 6*r**2 + 5*r**2 - 16 - 4*r**3 + r**2 + 0*r**b.
-4*(r - 2)**2*(r + 1)
Let u be (4/22 - (-24)/(-132))/(-1). Let x = 23/3 + -7. Suppose x*q**2 + u - 4/3*q = 0. What is q?
0, 2
Suppose -16*b + 0 + 25*b**4 + 172/3*b**2 - 3*b**5 - 196/3*b**3 = 0. What is b?
0, 2/3, 3, 4
Suppose 5*p + 5 + 10 = 0, 2*c = 2*p + 84. Let h = c + -36. Factor -1/4*r**h - r + r**2 + 0.
-r*(r - 2)**2/4
Let u(l) be the third derivative of -l**7/105 + 47*l**6/540 - 41*l**5/135 + 13*l**4/27 - 8*l**3/27 - 90*l**2. Find t, given that u(t) = 0.
2/9, 1, 2
Factor 0 + 0*i**3 + 13/3*i**2 - 1/3*i**4 + 4*i.
-i*(i - 4)*(i + 1)*(i + 3)/3
Let n(i) be the third derivative of -5*i**8/3528 - 4*i**7/315 + 11*i**6/105 - 89*i**5/315 + 97*i**4/252 - 2*i**3/7 - 71*i**2 - 2. Solve n(u) = 0.
-9, 2/5, 1
Find f such that -8/13*f - 2/13*f**2 + 42/13 = 0.
-7, 3
Let k = 17 - 30. Let x = 17 + k. Suppose -148*t**3 + 133*t**5 + 16 + 140*t**5 - 33*t**5 + 224*t**x + 16*t - 132*t**2 = 0. Calculate t.
-1, -1/2, 2/5, 2/3
Let f(m) = 2*m**2 + 25*m + 8*m + 6 - 23*m. Let w(c) = 10*c**2 + 51*c + 29. Let o(y) = -22*f(y) + 4*w(y). Factor o(l).
-4*(l + 2)**2
Let h(w) be the third derivative of -w**6/120 + 43*w**5/60 - 83*w**4/24 + 41*w**3/6 - 24*w**2 + 2. Factor h(x).
-(x - 41)*(x - 1)**2
Let -2570/11*x**2 - 184/11*x**4 - 1403/11*x**3 - 288/11 - 7/11*x**5 - 1632/11*x = 0. What is x?
-12, -1, -2/7
Let d(k) be the first derivative of 4*k**3/15 - 108*k**2/5 + 212*k/5 + 118. Factor d(g).
4*(g - 53)*(g - 1)/5
Let m(k) be the first derivative of 1/36*k**6 + 5/18*k**3 - 5/24*k**4 - 2/3*k - 1/30*k**5 + 33 + 1/3*k**2. Let m(a) = 0. What is a?
-2, -1, 1, 2
Let t = 2 + -70. Let n = t + 70. Let -1/4*k**4 + 0*k**3 + 0*k**n + 0 + 0*k = 0. What is k?
0
Let d(w) be the third derivative of -w**6/390 + 11*w**5/390 - 4*w**4/39 + 7*w**3/39 - 2*w**2 - 127*w. Find x such that d(x) = 0.
1, 7/2
Let r be (2/(-4))/(36/(-72)). Factor 1/4*s**2 + r + s.
(s + 2)**2/4
Suppose 0 = -o - 4*v - 50, 0 = -5*o + 3*v - 0*v - 158. Let j be (-3 + o/(-6))/(8/12). Factor -13/4*x**3 + 1/2 + 1/4*x - 9/4*x**2 - 5/4*x**j.
-(x + 1)**3*(5*x - 2)/4
Let o(m) = m**2 - 19. Let c(v) = 20. Let t(a) = -3*c(a) - 4*o(a). Factor t(k).
-4*(k - 2)*(k + 2)
Let u = 4415 - 13241/3. Let u*c + c**2 + 1/3 = 0. Calculate c.
-1, -1/3
Let m(r) be the second derivative of -r**10/90720 + r**9/45360 + 5*r**4/4 - 2*r. Let j(c) be the third derivative of m(c). Let j(a) = 0. What is a?
0, 1
Let v(h) be the third derivative of 0 + h**3 + 0*h + 1/16*h**4 - 1/80*h**6 - 1/10*h**5 + 22*h**2. Solve v(p) = 0 for p.
-4, -1, 1
Let a(l) be the first derivative of 35*l**4/4 - 90*l**3 - 40*l**2 - 111. Determine z, given that a(z) = 0.
-2/7, 0, 8
Factor 24/13 + 16/13*b + 2/13*b**2.
2*(b + 2)*(b + 6)/13
Let j(b) = -10*b**3 + 6*b**2. Let k(l) be the third derivative of -7*l**6/120 + l**5/15 + 3*l**2. Let w(a) = -5*j(a) + 7*k(a). Let w(v) = 0. Calculate v.
0, 2
Let j = -902 - -904. What is w in -4/5*w + 2/5 + 2/5*w**j = 0?
1
Let l(f) be the second derivative of -f**5/210 + f**4/21 - f**3/7 - f**2 + f. Let v(n) be the first derivative of l(n). Determine q so that v(q) = 0.
1, 3
Solve 3/2*j**2 + 1/4*j**3 + 0 + 9/4*j = 0 for j.
-3, 0
Let x(i) be the first derivative of -i**4/18 + 5*i**3/9 - 2*i**2 - 32*i - 22. Let m(l) be the first derivative of x(l). What is j in m(j) = 0?
2, 3
Determine f, given that 69*f + 80*f - 74 + 7*f - 25 - 18*f**2 - 3*f**4 - 42*f**3 + 6*f**3 = 0.
-11, -3, 1
Let q(m) be the first derivative of 5*m**3/3 + 95*m**2/2 + 90*m - 27. Factor q(c).
5*(c + 1)*(c + 18)
Let y be 5/20*(0 - -8). Let 15*l + 6*l + l + 30*l + 104*l**y + 28*l**3 - 24 = 0. Calculate l.
-3, -1, 2/7
Let o(g) be the third derivative of 15*g**2 + 0*g**3 + 0*g**4 + 0*g - 2/75*g**5 + 1/50*g**6 - 2/525*g**7 + 0. Find f such that o(f) = 0.
0, 1, 2
Let i(b) be the third derivative of b**5/12 - 35*b**4/4 + 4*b**2 + 14. Factor i(u).
5*u*(u - 42)
Let q(r) be the second derivative of -27/40*r**5 - 1 - 24*r**2 + 1/20*r**6 - 7*r + 0*r**3 + 11/4*r**4. Factor q(u).
3*(u - 4)**2*(u - 2)*(u + 1)/2
Let y(d) be the first derivative of d**4 - 4*d**3 + 350. Factor y(b).
4*b**2*(b - 3)
Let m = 4 - -10. Let n = m - 18. Let s(f) = -f**3 + f**2 - 1. Let v(x) = 6*x**3 - 10*x**2 + 8*x + 1. Let z(w) = n*v(w) - 20*s(w). Let z(p) = 0. What is p?
1, 2
Let n(m) be the first derivative of 3*m**4/26 - 34*m**3/39 + 32*m**2/13 - 40*m/13 + 302. Let n(k) = 0. What is k?
5/3, 2
Let t(l) be the third derivative of -l**8/336 - l**7/6 - 11*l**6/40 + 7*l**5/12 + 17*l**4/12 + 146*l**2 + l. Factor t(u).
-u*(u - 1)*(u + 1)**2*(u + 34)
Let z(p) be the third derivative of -23/96*p**4 - 45*p**2 - 1/24*p**5 + 0*p + 0 - 1/2*p**3 + 1/480*p**6. Factor z(v).
(v - 12)*(v + 1)**2/4
Factor 1/2*s**3 + 0 + 0*s + 1/4*s**5 + 0*s**2 + 3/4*s**4.
s**3*(s + 1)*(s + 2)/4
Let n(c) be the first derivative of 2*c**3 - 8*c - 25 + c**2 - 1/10*c**5 + 1/8*c**4. Factor n(f).
-(f - 4)*(f - 1)*(f + 2)**2/2
Suppose 57 = -5*u + 67. Let s(q) be the first derivative of 2/15*q**3 + 1/10*q**4 + 3 - 2/5*q - 1/5*q**u. Suppose s(p) = 0. Calculate p.
-1, 1
Let a be 6 + -7 + 3/2. Let k = -82 + 165/2. Let a - k*j**2 + 0*j = 0. Calculate j.
-1, 1
Let v = 1987/2648 - 1/2648. Factor -3/4*n**4 - 9/4*n**2 - v*n + 0 - 9/4*n**3.
-3*n*(n + 1)**3/4
Let r(z) = 4*z**2 - 10*z + 10. Suppose 0 = v - 2*v - 10. Let g(x) = -4 + 14 - 6*x + 9*x**2 + 11 - 15*x. Let m(t) = v*r(t) + 4*g(t). Factor m(j).
-4*(j - 2)**2
Let j(u) be the first derivative of 3/8*u**4 + 3/2*u**2 + 12 + 0*u + 3/2*u**3. Factor j(t).
3*t*(t + 1)*(t + 2)/2
Let v = -52 - -54. Factor -28*m**2 + 3*m**3 + 78*m**2 - 28*m**v - 28*m**2.
3*m**2*(m - 2)
Let q(s) be the third derivative of -s**6/1320 - 2*s**5/165 + 19*s**4/264 - 5*s**3/33 + 204*s**2. Determine g, given that q(g) = 0.
-10, 1
Determine o, given that -6*o**4 + 14*o**5 + 6*o**2 - 10*o**3 - 3*o**5 - o**5 - 8*o**5 + 8*o = 0.
-1, 0, 1, 4
Let j(g) = 13*g - 3. Let l be j(3). Let t be 33 - (1*-6)/3. Factor 4*m**5 + 0 - 8 + 56*m**3 - t*m**2 - 29*m**2 - 24*m**4 + l*m.
4*(m - 2)*(m - 1)**4
Let k = -9/113 + 619/13447. Let a = k + 139/595. Factor -a*s**3 + 1/5*s**2 + 0*s + 0.
-s**2*(s - 1)/5
Suppose 0 = -3*g + 5*h + 57, g - 2*h = 21 - 3. Let s be 6/g - (-19)/20. Factor s*a**2 + 2/5*a**4 - 2/5*a - 6/5*a**3 + 0.
2*a*(a - 1)**3/5
Let t(x) = -23*x**4 - 42*x**3 + 132*x**2 + 48*x. Let n(v) = 12*v**4 + 21*v**3 - 66*v**2 - 24*v. Let y(q) = 5*n(q) + 3*t(q). Factor y(d).
-3*d*(d - 2)*(d + 4)*(3*d + 1)
Let i(l) = 6 + l**2 - 53*l + 13*l + 14*l + 23*l. Let g(d) be the first derivative of -d**2/2 + d + 1. Let x(c) = -5*g(c) + i(c). Factor x(n).
(n + 1)**2
Let a(h) = -4. Let f(o) = o**2 + 48*o - 28. Let s(z) = 14*a(z) - 2*f(z). Let s(c) = 0. What is c?
-48, 0
Let h(m) = -m**3 + 4*m**2 + 3*m - 8. Let p be h(3). Factor 13*u**2 - p*u + 3*u + 47*u + 20 + 12*u**2 + 5*u**3.
5*(u + 1)*(u + 2)**2
Let n be -5*((-8)/(-25) + ((-1012)/55 - -18)). Factor -16/5*d + 0 - n*d**3 - 18/5*d**2.
-2*d*(d + 1)*(d + 8)/5
Suppose -3*w + 8 = -2*c - 26, 4*c - 2 = -w. What is j in 0*j**3 + 16 - w + j + 8*j - 3*j**3 = 0?
-1, 2
Let r(x) be the third derivative of 1/60*x**5 - 1/200*x**6 - 2/15*x**3 + 11*x**2 + 1/30*x**4 + 0 + 0*x. What is n in r(n) = 0?
-1, 2/3, 2
Let s be (-11058)/(-16296) + (1/(-2))/(1 + 1). Factor -2/7*r + 1/7*r**3 + 1/7*r**5 + s*r**2 - 3/7*r