- 1/30*j**5 + 1/4*j**4 + 0*j. Factor r(g).
-2*(g - 2)*(g - 1)
Let r(w) be the first derivative of 2/9*w**3 + 0*w**4 - 1/3*w**2 + 1/45*w**6 - 1/15*w**5 - 1 - 4*w. Let q(z) be the first derivative of r(z). Solve q(n) = 0.
-1, 1
Let t(f) be the second derivative of f**6/2520 + f**5/420 + f**3/3 - 7*f**2/2 - 9*f - 3. Let v(y) be the second derivative of t(y). Factor v(p).
p*(p + 2)/7
Let j(q) = -4*q**3 - 180*q**2 + 5406*q - 54000. Let z(v) = -3*v**3 - 180*v**2 + 5405*v - 54000. Let l(k) = 5*j(k) - 6*z(k). Factor l(d).
-2*(d - 30)**3
Solve -52/3*f**4 - 8 - 116/3*f - 194/3*f**2 - 49*f**3 - 7/3*f**5 = 0 for f.
-2, -1, -3/7
Let b = -1 + 2. Let z(g) = g**3 - 7*g**2 + 10*g - 22. Let v be z(6). Factor 3 - 8*x + 4*x - b + 3*x**v - x**2.
2*(x - 1)**2
Let v be 0 + 7 - (1 - 0). What is k in -6*k + 4*k**3 - 4*k + v*k = 0?
-1, 0, 1
Factor -36/7*f - 1/7*f**3 + 0 - 12/7*f**2.
-f*(f + 6)**2/7
Let s(k) = 8*k**5 - 62*k**4 + 132*k**3 - 102*k**2 + 24*k + 2. Let j(y) = -y**5 + y**4 - y**3 + y**2 + 1. Let a(r) = -2*j(r) + s(r). Let a(d) = 0. Calculate d.
0, 2/5, 1, 2, 3
Let t(s) be the first derivative of 2*s**3/15 - s**2/5 - 6. Factor t(k).
2*k*(k - 1)/5
Let q(y) = -y**4 + 1. Suppose -10*b + 7 = -23. Let c(o) = -5*o**4 + 6*o**3 - 6*o**2 + 2*o + 3. Let r(v) = b*q(v) - c(v). Let r(d) = 0. What is d?
0, 1
Let i(b) = -3*b**2 - 18*b - 15. Let k be i(-5). Let p be ((-16)/3)/4 + 2. Suppose k*z + 0*z**2 + 0 + 2/3*z**4 + 4/3*z**3 - p*z**5 = 0. What is z?
-1, 0, 2
Let u(z) = 4*z**2 - 4*z + 3. Suppose 0*w = 4*w - 4. Let t = -5 + w. Let q(a) = a**2 - a + 1. Let p(b) = t*u(b) + 12*q(b). Factor p(i).
-4*i*(i - 1)
Suppose 100 = 2*h + 3*h. Let n be (h/(-50))/((-1)/180). Factor 76*p**3 + 92*p**4 + 58*p**4 + 12*p - n*p**2 - 13*p**3 - 3*p**4.
3*p*(p + 1)*(7*p - 2)**2
Suppose 5*r = -2*x + 2, 0 = r - 3*x - x - 18. Suppose 36*z - 14*z = 66. Factor 24/5*q**r - 22/15*q**z - 32/15*q + 2/15*q**4 - 128/15.
2*(q - 4)**3*(q + 1)/15
Suppose 12/5*z**2 + 16/5*z - 2/5*z**5 + 0 - 14/5*z**3 - 12/5*z**4 = 0. What is z?
-4, -2, -1, 0, 1
Let t be (-4)/((-305)/440 - 10/55). Find f, given that 0 - 64/7*f**4 - 16/7*f**2 + 48/7*f**3 + t*f**5 + 2/7*f = 0.
0, 1/2
Solve -4*b**2 + 7*b**2 + 14*b - 12 - b**2 + 0*b - 4*b**2 = 0 for b.
1, 6
Suppose 8 = 84*d - 82*d + s, -8 = -s. Factor 0 + 12/7*w**4 + d*w + 0*w**2 - 4/7*w**3.
4*w**3*(3*w - 1)/7
Let g(v) be the first derivative of 5*v**6/6 + 2*v**5 - 5*v**4/2 - 40*v**3/3 - 35*v**2/2 - 10*v + 19. Suppose g(r) = 0. What is r?
-1, 2
Let o(c) be the first derivative of -c**6/90 + 2*c**5/15 - 4*c**4/9 + 3*c + 1. Let x(q) be the first derivative of o(q). Factor x(r).
-r**2*(r - 4)**2/3
Let g(m) be the first derivative of m**6/3 + 48*m**5/5 + 37*m**4/2 - 100*m**3 + 88*m**2 + 862. Solve g(o) = 0.
-22, -4, 0, 1
Suppose h = -4*l - 0 + 2, -5*h + 25 = 5*l. Let y be (-16)/h*((-90)/12)/5. Determine p so that -3/7*p**3 + 0*p + 0 - 3/7*p**y + 0*p**2 = 0.
-1, 0
Suppose -18*c = -20*c + 8. Suppose -12 = 4*k, -6*r + c*k + 20 = -2*r. Factor w - 21*w**3 + 8*w**3 + 10*w**2 - 7*w**2 + 6*w**2 - r + 5*w**4.
(w - 1)**3*(5*w + 2)
Factor -635*u**2 - 23762 - 221*u - 215*u + 633*u**2.
-2*(u + 109)**2
Let a(y) be the second derivative of 1/10*y**6 - 16*y + 0 - y**4 + 3/20*y**5 - 2*y**3 + 0*y**2. Factor a(x).
3*x*(x - 2)*(x + 1)*(x + 2)
Let u(z) be the first derivative of -z**4/34 - 302*z**3/51 - 5775*z**2/17 - 11250*z/17 - 259. Factor u(l).
-2*(l + 1)*(l + 75)**2/17
Factor 0*w**2 + 1055*w - 2*w**2 + 18 - 1039*w.
-2*(w - 9)*(w + 1)
Suppose -s - 8 = -10. Factor 8*f**3 - 4*f**4 - 12*f - 11*f - 9*f + 16*f**s.
-4*f*(f - 2)**2*(f + 2)
Let c(k) be the third derivative of 2/69*k**4 + 15*k**2 + 16/69*k**3 + 1/690*k**5 + 0*k + 0. Solve c(h) = 0 for h.
-4
Let d = -21307 + 21307. Factor -3/8*o**4 + 0*o**2 - 9/8*o**5 + 0*o + d*o**3 + 0.
-3*o**4*(3*o + 1)/8
Determine f, given that 3/2*f**2 + 3*f - 9/2 = 0.
-3, 1
Let l = -17 + 50. Let h = l - 29. Solve 0*f**2 - 2/3*f**h + 2/3*f**3 + 0*f + 0 = 0.
0, 1
Let f(i) be the third derivative of i**7/315 - i**6/15 + 5*i**5/9 - 7*i**4/3 + 5*i**3 - 5*i**2 - 2. Suppose f(z) = 0. What is z?
1, 3, 5
Let s be (-2)/(-3) + (-2)/(-24). Let u be 5/2*234/260. Solve -s*k + 0 + 9/4*k**2 - u*k**3 + 3/4*k**4 = 0 for k.
0, 1
What is z in -108*z**3 + 62*z**3 - 14*z**2 + 4*z - 10*z**4 + 64*z**3 + 2*z**5 = 0?
0, 1, 2
Let o(n) be the second derivative of -n**7/189 + n**6/27 + 51*n. Factor o(d).
-2*d**4*(d - 5)/9
Let s(k) be the second derivative of -5/3*k**3 + 1/4*k**5 + 0*k**2 + 0 + 10*k + 5/12*k**4. Suppose s(y) = 0. What is y?
-2, 0, 1
Let r(o) = -13*o + 13. Let d(n) = 38*n - 38. Let k(c) = -6*d(c) - 17*r(c). Let p be k(1). Let -6/5*x**3 + 0*x + 0*x**2 - 21/5*x**4 + p - 3*x**5 = 0. What is x?
-1, -2/5, 0
Solve 17*b**2 - 36 - 1/2*b**5 - 33/2*b**3 + 42*b - 6*b**4 = 0.
-6, -2, 1
Let j be ((-164)/(-65))/2 + (-12 - (-56)/5). Determine r so that 4/13*r**2 - 8/13*r + 8/13*r**3 + 2/13*r**4 - j = 0.
-3, -1, 1
Let a be (112/49)/(24/28). Suppose 4*m + a*m**2 - 8/3 = 0. Calculate m.
-2, 1/2
Let u be 3597/9*6/9 + 0. Let n = u + -266. Find x, given that -14/9*x**2 - 2*x - n = 0.
-1, -2/7
Let c(u) = -140*u - 3636. Let j be c(-26). Factor 0*d + 2/7 + 0*d**3 + 2/7*d**j - 4/7*d**2.
2*(d - 1)**2*(d + 1)**2/7
Let i(j) be the third derivative of j**6/840 + j**5/84 - 13*j**4/168 + j**3/6 + 2*j**2 - 5*j. What is d in i(d) = 0?
-7, 1
Let v(w) be the third derivative of w**9/60480 + w**8/3840 + w**7/672 + w**6/320 + 2*w**4/3 - 9*w**2. Let z(h) be the second derivative of v(h). Factor z(c).
c*(c + 1)*(c + 3)**2/4
Let w(b) be the second derivative of 0 - 1/30*b**4 + b - 19/60*b**3 + 1/4*b**2. Suppose w(s) = 0. Calculate s.
-5, 1/4
Let t(b) be the second derivative of b**6/165 + 3*b**5/110 + b**4/66 - b**3/11 - 2*b**2/11 - 182*b. Suppose t(a) = 0. What is a?
-2, -1, 1
Let m(u) be the third derivative of -7/90*u**5 + 1/105*u**7 + 0 + 24*u**2 - 1/504*u**8 + 1/180*u**6 + 0*u**4 + 0*u + 4/9*u**3. Let m(s) = 0. What is s?
-1, 1, 2
Let x(a) be the second derivative of 2*a**6/15 - 6*a**5/5 + 13*a**4/3 - 8*a**3 + 8*a**2 + 4*a - 44. Factor x(c).
4*(c - 2)**2*(c - 1)**2
Suppose 9 = 11*d - 13. Suppose -75*m**5 + 0*m**d + 5*m**2 + 3*m**2 + 14*m - 50*m**4 + 37*m**3 - 18*m = 0. Calculate m.
-1, -2/5, 0, 1/3, 2/5
Find g, given that -11/3*g**2 + 6 + 1/3*g**3 + 1/3*g**4 - 3*g = 0.
-3, -2, 1, 3
Let w(v) be the third derivative of -v**8/120 - 8*v**7/105 + 187*v**6/300 - 88*v**5/75 + 3*v**4/5 + 24*v**2 + 3. Solve w(z) = 0.
-9, 0, 2/7, 1, 2
Let t(j) be the second derivative of -j**6/20 + 21*j**5/40 - 7*j**4/4 + 2*j**3 - 519*j. Suppose t(a) = 0. What is a?
0, 1, 2, 4
Let a(i) be the first derivative of 5/4*i**4 + 27 - 5*i - 5*i**3 + 15/2*i**2. Suppose a(r) = 0. What is r?
1
Suppose -6*d + 6 = -4*d. Let u be -1*(-2 - d - -2). Solve -9*j**2 + j - 4*j - 8*j**3 + 3*j**u - 4*j**3 - 3*j**4 = 0.
-1, 0
Let u(n) be the second derivative of -n**3/2 - 8*n**2 + 13*n. Let x be u(-6). Solve -6 + 5*p - 12 + 3*p**x - 8*p = 0.
-2, 3
Let t(w) be the first derivative of 1/30*w**6 + 1/5*w**2 - 1/5*w**5 + 9/20*w**4 - 7/15*w**3 + 0*w - 11. Let t(r) = 0. Calculate r.
0, 1, 2
Let a(g) = g**2 - 68*g + 108. Let m(s) = 3*s + 2. Let l(f) = -a(f) - 3*m(f). Solve l(d) = 0.
2, 57
Let i = 28 + -16. Suppose -3*u + 0 + i = 0. Determine o, given that u*o**2 - 5 - 2*o**2 + 3 = 0.
-1, 1
Let r be (10/8*-1)/(2/(-8)). Let w(v) = -v**3 - v. Let u(h) = -3*h**3 + 10*h**2 + 11*h + 8. Let a(x) = r*w(x) - u(x). Find c such that a(c) = 0.
-2, -1
Let -128*p**4 - 118*p**4 - 21*p**3 + 54*p + 240*p**4 + 39*p**2 = 0. What is p?
-9/2, -1, 0, 2
Suppose 3*s + 3*m = 0, s + 5 = -5*m - 7. Suppose 0*f = -4*h + 3*f, 3*f = -4*h + 24. Factor s*b - 4*b**h + b + 4*b**4 + 14 - 6 - 12*b**2.
4*(b - 2)*(b - 1)*(b + 1)**2
Let q(b) = b**5 - b**4 + b**3 + b**2 - b - 1. Let j(g) = g**5 - 17*g**4 + 29*g**3 + 89*g**2 + 45*g - 3. Let n(m) = -j(m) + 3*q(m). Let n(s) = 0. Calculate s.
-8, -1, 0, 3
Let n(w) be the second derivative of 5*w**4/12 - 10*w**3/3 + 10*w**2 + 11*w + 4. Factor n(u).
5*(u - 2)**2
Let c(b) be the third derivative of 1/60*b**5 + 32/3*b**3 - 2*b**2 + 0 + 0*b - 2/3*b**4. Factor c(m).
(m - 8)**2
Suppose v + 1 - 6 = 0, 10 = -5*d + 5*v. Factor 8*x**3 + x**4 - 13*x**3 + x + 4*x**3 + 4*x**3 + d*x**2.
x*(x + 1)**3
Suppose -4*y + 320 = -3*l, -526 = 5*l - 2*y - y. Let b = 213/2 + l. Solve -b*u + 0 + 