late o.
-4, -3
Let f(v) = 24*v**3 + 239*v**2 + 37*v - 17. Let a(z) = -8*z**3 - 80*z**2 - 12*z + 6. Let c(q) = -17*a(q) - 6*f(q). Factor c(k).
-2*k*(k + 9)*(4*k + 1)
Let z(s) = -2*s**2 - 353*s. Let r(j) = 6*j**2 + 1064*j. Let n(l) = 3*r(l) + 8*z(l). Factor n(w).
2*w*(w + 184)
Let g(d) be the third derivative of -d**5/60 - 10*d**4/3 - 800*d**3/3 + 7*d**2 - 7. Suppose g(n) = 0. Calculate n.
-40
Let a = 15/77 - 2425/308. Let s = -52/7 - a. Find o, given that -3/2*o**2 - o - o**3 - 1/4 - s*o**4 = 0.
-1
Suppose -115 = x - 24*x. Suppose -16 = w + 4*j, -x*w + 4*j = 2*j - 8. Factor 2/9*d**2 - 4/9*d + w.
2*d*(d - 2)/9
Suppose -3*r = 4*s + 3, 0 = 25*r - 20*r + s - 12. Let p be (4/3)/2*3. Solve -p*l - l + 24*l**5 - 34*l**4 + 168*l**5 - 33*l**2 - 108*l**r - 14*l**4 = 0 for l.
-1/4, 0, 1
Let s be (14 - 14)/(7 - -1 - 5). Factor 2/15*m + s + 2/15*m**2.
2*m*(m + 1)/15
Factor 22*u - 3*u**3 - 54 - 9*u**2 + 53*u - 9*u**2.
-3*(u - 2)*(u - 1)*(u + 9)
Let y(m) be the third derivative of m**5/15 + 4*m**4/3 - 40*m**3/3 + 3*m**2 + 11. Let y(h) = 0. Calculate h.
-10, 2
Suppose 4*q - 6*q + 5*g = -29, 0 = 4*g + 20. What is s in 48*s**2 - s**4 - 12*s - 63*s**3 + 22*s**4 + 0*s**q + 6*s**4 = 0?
0, 2/3, 1
Suppose 15*o - 20*o = -175. Suppose 0 = 43*y - 39*y - 16. Factor 14*a**y - 45*a**3 - 10*a + 41*a**4 - 30*a**4 - 5*a**5 + o*a**2.
-5*a*(a - 2)*(a - 1)**3
Let q = -64/143 - -10/11. Suppose -2 = -5*b - 22, -3*o - 4*b - 10 = 0. Let -8/13*y + q + 2/13*y**o = 0. What is y?
1, 3
Factor x**4 + 16*x**2 - 5*x**2 - 6 + 0 - 2 - 5*x**3 + 4*x - 5*x**2.
(x - 2)**3*(x + 1)
Let 27*a**2 + 83/2*a**3 - 12 - 38*a - 15*a**4 - 7/2*a**5 = 0. What is a?
-6, -1, -2/7, 1, 2
Let s(u) = -u**2 - 6*u - 3. Let v be s(-5). Let w = v + -1. Factor -w - 1 + 7*l + 0 - 3*l - 2*l**2.
-2*(l - 1)**2
Suppose 5*j = -5*o + 5, 8*j - 4*j = -o + 10. Let m = 1 - -1. Solve 2*i**2 - j - 3*i**4 + 0 + 5*i**m - i**2 = 0 for i.
-1, 1
Let a(m) be the first derivative of -m**8/168 + m**7/45 - m**6/36 + m**5/90 + m**2 - 10. Let j(o) be the second derivative of a(o). Factor j(q).
-2*q**2*(q - 1)**2*(3*q - 1)/3
Let f(n) be the third derivative of n**5/60 - 169*n**4/12 + 28561*n**3/6 - 2*n**2 - 48. Determine j so that f(j) = 0.
169
Suppose 65 = -4*o + 9. Let k be (-6)/2 - 58/o. Factor k*u**2 + 2/7*u**3 + 0 + 8/7*u.
2*u*(u + 2)**2/7
Let m(v) = -36*v**4 - 28*v**3 + 8*v**2 + 28*v. Let r = 16 + -13. Let x(l) = 4*l**4 + 3*l**3 - l**2 - 3*l. Let b(w) = r*m(w) + 28*x(w). Solve b(g) = 0 for g.
-1, 0, 1
Let w(b) be the third derivative of 0 + b + 1/30*b**6 - 1/84*b**7 + 0*b**4 - 1/30*b**5 + 0*b**3 + 1/672*b**8 - 4*b**2. Find a such that w(a) = 0.
0, 1, 2
Let t(k) be the second derivative of 9*k**7/119 + k**6/5 - 197*k**5/170 + 125*k**4/102 + 2*k**3/51 - 8*k**2/17 - 132*k + 1. What is u in t(u) = 0?
-4, -2/9, 1/3, 1
Let m(g) = 5*g**3 - 15*g**2 - 15*g + 5. Let l(t) = t**3 - 2*t - 4. Let w(d) = d + 1. Let k(n) = -l(n) - 3*w(n). Let s(j) = 5*k(j) - m(j). Factor s(p).
-5*p*(p - 2)*(2*p + 1)
Let 1/2*m**4 + 1/2*m**3 - 1/2*m - 1/2*m**2 + 0 = 0. What is m?
-1, 0, 1
Let v(d) = -1. Let x(p) = 2*p**2 - 6*p + 16. Let c(s) = s**3 - 3*s**2 - 8*s + 4. Let k be c(4). Let o(z) = k*v(z) - x(z). Factor o(w).
-2*(w - 2)*(w - 1)
Let m = -93 + 97. Determine p, given that 32*p - 8 - m*p**3 + 32*p**3 + 16*p - 78*p**2 = 0.
2/7, 1/2, 2
Let x(l) be the third derivative of 0*l + 0 + 5/168*l**7 - 5*l**2 + 1/10*l**5 - 3/32*l**6 - 1/24*l**4 + 0*l**3. Factor x(z).
z*(z - 1)*(5*z - 2)**2/4
Let a(v) be the second derivative of 0*v**2 + 1/21*v**4 + 3/70*v**5 + 0 + 12*v + 1/105*v**6 + 0*v**3. Determine m so that a(m) = 0.
-2, -1, 0
Let c(z) be the first derivative of z**5/30 + 11*z**4/24 + 4*z**3/3 - z**2/3 - 16*z/3 - 480. Factor c(v).
(v - 1)*(v + 2)**2*(v + 8)/6
Suppose d = -5*r + 23, -d - 3*d - 3*r = -7. Let s be d*(-12)/8 - 0. Factor -4*g**s - 1 + 5*g**3 + 1.
g**3
Let a = -14 - -45. Suppose 5*o - a + 11 = 0. Factor 0 - 11/2*w**3 - 15*w**o + 6*w**2 + 2*w + 25/2*w**5.
w*(w - 1)**2*(5*w + 2)**2/2
Let z(q) be the first derivative of 4*q**3/3 - 8*q**2 - 20*q - 94. Factor z(u).
4*(u - 5)*(u + 1)
Suppose -3*c = 11*c. Factor -3*w**2 + 7*w**2 + c*w**2 + 0*w**2.
4*w**2
Suppose -4*y - 1 + 5 = 0. Suppose y = x - 0, 5*d - 3*x = 12. Factor -3*f**4 - 2*f**d - f**3 - 3*f**3.
-3*f**3*(f + 2)
Let p = -31439/40 - -786. Let v(f) be the third derivative of -5*f**2 + 1/8*f**4 + p*f**6 + 0 + 0*f - 1/10*f**5 + 0*f**3. Factor v(q).
3*q*(q - 1)**2
Factor l**2 + 33 - 34*l**3 + l**2 + l**5 + 31*l**3 - 33.
l**2*(l - 1)**2*(l + 2)
Let y = -10127 + 10129. What is z in 0*z + 0 - 9/8*z**y + 3/8*z**3 = 0?
0, 3
Let h(t) = t**2 - 26*t - 29. Let m(y) = -3*y**2 + 58*y + 56. Let v(o) = -10*h(o) - 4*m(o). Solve v(s) = 0.
-11, -3
Let x(i) be the third derivative of 0*i + 0 - 1/9*i**3 + 1/360*i**5 + 2*i**2 + 0*i**4. Factor x(t).
(t - 2)*(t + 2)/6
Let 0*i**2 - 1/9*i**3 + 0*i - 4/9*i**5 - 5/9*i**4 + 0 = 0. Calculate i.
-1, -1/4, 0
Let t(d) = -13*d + 8. Let k be t(-6). Let i = k + -84. Factor 3/5*h**i + 27/5 - 18/5*h.
3*(h - 3)**2/5
Suppose 24*h - 20*h = 0. Suppose -3*u = 4*d, -d + 5*d + 2*u = h. Factor d*m**2 + 2/3*m**3 + 1/3*m**4 - 1/3 - 2/3*m.
(m - 1)*(m + 1)**3/3
Let f(q) be the third derivative of 0*q + q**2 + 0 + 1/4*q**3 + 1/8*q**4 + 1/40*q**5. Find m, given that f(m) = 0.
-1
Let i(m) be the third derivative of m**6/300 - m**5/15 + 7*m**4/60 + 6*m**3/5 + m**2 + 120*m. Let i(r) = 0. What is r?
-1, 2, 9
Let h(y) = -26*y + 549. Let g be h(21). Find z, given that 45/4*z**g + 10*z**4 - 15/4*z - 1/2 - 5*z**2 - 12*z**5 = 0.
-2/3, -1/4, 1
Let b(g) = -g**2 + 7*g + 11. Let u be -1 + 9 + 6 + -6. Let j be b(u). Factor -7*p + p + p**2 - j*p**2 - 7*p**2.
-3*p*(3*p + 2)
Let h(t) be the third derivative of 3*t**8/616 + 68*t**7/385 + 334*t**6/165 + 256*t**5/55 - 340*t**4/11 + 1600*t**3/33 - 491*t**2. Suppose h(x) = 0. What is x?
-10, -4, 2/3
Let c(p) be the second derivative of p**4/3 + 56*p**3 - 170*p**2 - 102*p. Solve c(f) = 0.
-85, 1
Let p(c) be the second derivative of 1/42*c**4 + 0 + 144/7*c**2 - 36*c + 8/7*c**3. Suppose p(d) = 0. Calculate d.
-12
Let k(r) be the third derivative of -r**5/12 - 5*r**3/6 + 37*r**2. Let b(c) = -2*c**2 - 3. Let d(u) = 5*b(u) - 3*k(u). Find x, given that d(x) = 0.
0
Let i(s) be the third derivative of 0 + 2/45*s**5 - 1/9*s**3 + 0*s - 1/72*s**6 - 7*s**2 - 1/72*s**4. Suppose i(n) = 0. What is n?
-2/5, 1
Let n(i) = 20*i - 480. Let y be n(24). Factor y - 3/2*p**3 + 15/2*p + 6*p**2.
-3*p*(p - 5)*(p + 1)/2
Suppose -10*h - 5 = -11*h. Let a(z) = 42*z**3 + 96*z**2 - 9*z. Let s(m) = -43*m**3 - 96*m**2 + 8*m + 1. Let g(r) = h*a(r) + 6*s(r). Factor g(p).
-3*(p + 2)*(4*p - 1)*(4*p + 1)
Let l(d) be the third derivative of 5*d**8/336 - 13*d**7/105 + 5*d**6/12 - 11*d**5/15 + 17*d**4/24 - d**3/3 - 11*d**2. Solve l(j) = 0.
1/5, 1, 2
Let x be 0/((-2 + 3 - -3) + -8). Let i(p) be the third derivative of 1/210*p**7 + 4*p**2 + 0 + x*p + 1/60*p**5 + 1/40*p**6 - 1/3*p**3 - 1/8*p**4. Factor i(o).
(o - 1)*(o + 1)**2*(o + 2)
Let p(g) be the second derivative of g**6/60 - g**4/4 - 2*g**3/3 - 4*g**2 + 8*g. Let d(n) be the first derivative of p(n). Factor d(b).
2*(b - 2)*(b + 1)**2
Let z(y) = 4*y**3 - 2*y**2 + y. Let f be z(3). Let i = -91 + f. Find u, given that 2/7*u**3 + 0 - 2/7*u + 2/7*u**i - 2/7*u**4 = 0.
-1, 0, 1
Let j(f) be the third derivative of f**8/80 - f**7/175 - 49*f**6/200 + 14*f**5/25 - 3*f**4/10 + 2*f**2. What is s in j(s) = 0?
-3, 0, 2/7, 1, 2
Suppose -4*u = 10*w - 7*w + 3, -3*u - 6 = w. Factor -2/3 - 4/3*a**w - 8/3*a - 10/3*a**2.
-2*(a + 1)**2*(2*a + 1)/3
Let s(d) be the second derivative of 0*d**2 + 1/24*d**4 + 1/6*d**3 + 11*d + 0. Find x such that s(x) = 0.
-2, 0
Let t(q) be the second derivative of q**8/560 + q**7/280 + 5*q**3/3 - 10*q. Let b(r) be the second derivative of t(r). Solve b(g) = 0 for g.
-1, 0
Let q be 5/4*-2*8/(-40). Let m(t) be the second derivative of 0 - 1/15*t**6 + 0*t**5 - 3*t + q*t**4 + 0*t**2 + 2/3*t**3. Solve m(j) = 0.
-1, 0, 2
Let h be 2/3*3264/680. Suppose h*n**2 - 2*n**3 + 0 + 8/5*n = 0. What is n?
-2/5, 0, 2
Let p(d) = -d**2 + 8*d - 7. Let c be p(7). Suppose 3*j + 5*j = c. Let -2/15*f**2 + 2/15*f + j = 0. What is f?
0, 1
Determine k so that -7/11*k**2 - 24/11*k + 24/11*k**3 - 9/11 + 16/11*k**4 = 0.
-1, -3/4, 1
Let m(o) be the third derivative of -o**6/30 - 2*o**5/15 + 13*o**