0.
-5, -2
Let y(m) = m**3 + 6*m**2 + m - 15. Let i be y(-5). Suppose -8*j + 10*j + 8 = -4*h, -i*h - 25 = -5*j. Determine n so that 3/2*n + 3/4 + 3/4*n**j = 0.
-1
Let m(h) be the first derivative of h**6/2 + 3*h**5/2 + 3*h**4/2 + h**3/2 + 159. Find j, given that m(j) = 0.
-1, -1/2, 0
Let n(k) be the first derivative of -1/18*k**3 + 1/8*k**4 + 2/3*k - k**2 + 8. Suppose n(l) = 0. What is l?
-2, 1/3, 2
Let s(h) be the first derivative of h**3/15 - 14*h**2/5 + 27*h/5 - 32. Let s(l) = 0. Calculate l.
1, 27
Let z be (-4)/22 - (-9)/(594/12). Let j(a) be the third derivative of 1/120*a**6 + 1/24*a**4 + 0 + z*a**3 + 0*a - 7*a**2 + 1/30*a**5. Factor j(u).
u*(u + 1)**2
Let w(j) = -35*j**3 + 750*j**2 + 2450*j + 1680. Let m(z) = -5*z**3 + 107*z**2 + 350*z + 240. Let v(q) = 15*m(q) - 2*w(q). Suppose v(d) = 0. What is d?
-2, -1, 24
Determine o so that -68/9*o**2 - 104/9*o - 2/3*o**3 - 16/3 + 2/9*o**5 + 8/9*o**4 = 0.
-2, -1, 3
Let y(x) = 3*x**2 - 102*x + 2. Let t(d) = 35*d**2 - 1225*d + 25. Let c(k) = -2*t(k) + 25*y(k). Suppose c(b) = 0. What is b?
0, 20
Let x(y) be the second derivative of -5*y**8/28 + 8*y**7/15 - 11*y**6/30 - 2*y**5/15 + 53*y**2/2 + 47*y. Let w(h) be the first derivative of x(h). Factor w(i).
-4*i**2*(i - 1)**2*(15*i + 2)
Let l(k) be the first derivative of -12 - 1/15*k**3 + 2/5*k - 1/25*k**5 + 3/20*k**4 - 3/10*k**2. Factor l(t).
-(t - 2)*(t - 1)**2*(t + 1)/5
Let w(g) = g**2 + 229*g + 10. Let b(m) = -m**2 - 115*m - 6. Let f(j) = -5*b(j) - 3*w(j). Factor f(a).
2*a*(a - 56)
Let q = 10024 + -10022. Let 0 - 3/2*u**3 + 1/2*u**q - 1/2*u**5 + 0*u + 3/2*u**4 = 0. Calculate u.
0, 1
Factor -12*d - 31*d**2 + 9 - 37*d**2 - 32*d**2 + 103*d**2.
3*(d - 3)*(d - 1)
Let p(x) be the second derivative of x**5/330 - 5*x**4/132 + 2*x**3/11 - 21*x**2/2 + 26*x. Let a(z) be the first derivative of p(z). Solve a(o) = 0.
2, 3
Let p(b) be the first derivative of b**5/20 + b**4/4 + b**3/2 + 4*b**2 - 5. Let w(d) be the second derivative of p(d). Factor w(s).
3*(s + 1)**2
Let t(r) be the first derivative of -r**3/3 + 23*r**2/2 - 81. Solve t(q) = 0 for q.
0, 23
Let h = 41 - 13. Find z, given that -28*z**2 - 68*z**3 + 8 + 11*z**3 - 19*z**3 - 32*z**2 - h*z**4 - 4*z = 0.
-1, 2/7
Let m be (-1119)/(-231) + ((-90)/55)/6. Find v, given that m*v - 16/7 + 4/7*v**3 - 20/7*v**2 = 0.
1, 2
Let v(l) be the first derivative of -l**6/9 - 4*l**5/15 + l**4 + 16*l**3/9 - 5*l**2/3 - 4*l - 28. Determine u so that v(u) = 0.
-3, -1, 1, 2
Let o(g) be the first derivative of g**6/42 + 11*g**5/35 - 37*g**4/28 - 407*g**3/21 + 468*g**2/7 + 1296*g/7 + 16. Let o(n) = 0. Calculate n.
-9, -1, 4
Let h(n) = -98*n**2 - 28*n - 9. Let w = -9 - -2. Let t(l) = -4 - 49*l**2 + l - 11*l + 2*l - 6*l. Let a(r) = w*t(r) + 3*h(r). Factor a(v).
(7*v + 1)**2
Let t be 5 - (5 + -1) - -9. Factor t - 17*k + 22 + k - 14*k**2 - 2*k**3.
-2*(k - 1)*(k + 4)**2
Let q be 9/45*(-30)/(-18)*6. Determine p so that -q*p + 0 + 8*p**2 - 5/2*p**3 - 7/2*p**4 = 0.
-2, 0, 2/7, 1
Let f be ((-2080)/(-144) - 16)*(-6)/7. Factor 2*t - 2/3*t**3 + 0*t**2 - f.
-2*(t - 1)**2*(t + 2)/3
Let u(z) be the third derivative of 1/600*z**5 + 0 + 12*z**2 - 1/120*z**4 + 1/60*z**3 + 0*z. Determine l so that u(l) = 0.
1
Factor 0 + 0*r + 0*r**2 - 1/7*r**5 + 0*r**3 - 2/7*r**4.
-r**4*(r + 2)/7
Let m = 9 + -4. Suppose -10 = -m*r + 15. Factor 2*o**3 + 6*o**2 + 2*o**2 - 3*o**2 - r*o**4 - 5*o + 3*o.
-o*(o - 1)*(o + 1)*(5*o - 2)
Suppose 0 = 2*u - w, -4*u + 3*u + 3*w = 10. Let d be u/6 - 0*(-1)/(-7). Factor 2/3 + 1/3*h - d*h**3 - 2/3*h**2.
-(h - 1)*(h + 1)*(h + 2)/3
Let p(v) = v - 1. Let d(u) = u**3 + 10*u**2 + u + 12. Let h be d(-10). Let k(t) = 13*t**h - 6*t**2 - 5*t**2 + 1 - 3*t. Let g(m) = k(m) - 5*p(m). Factor g(q).
2*(q - 3)*(q - 1)
Let i(p) be the third derivative of p**8/112 + 4*p**7/35 + 21*p**6/40 + 7*p**5/10 - 5*p**4/2 - 12*p**3 + 25*p**2. Solve i(m) = 0.
-3, -2, 1
Let m(b) be the first derivative of -1/40*b**4 + 0*b - 3/50*b**5 + 12 + 1/10*b**3 + 1/10*b**2 - 1/60*b**6. Suppose m(x) = 0. What is x?
-2, -1, 0, 1
Let z(n) be the first derivative of -2*n**4/15 - 7*n**3/15 - 3*n**2/5 + 7*n + 4. Let r(c) be the first derivative of z(c). Factor r(j).
-2*(j + 1)*(4*j + 3)/5
Let h(l) = -l**2 + 3*l + 3. Let v be h(3). Find g such that 9 + 11*g - g - v*g**2 + 0 - 4*g = 0.
-1, 3
Let n = -3/151 - -613/453. Factor -4/3*z**2 + 8/3*z - n.
-4*(z - 1)**2/3
Let w be (2 - 1056/(-28)) + (-6)/(-21). Find h such that 462 - 19*h**2 - 26*h**2 - 446 - w*h + 14*h**5 + 52*h**4 + 26*h**3 - 23*h**2 = 0.
-2, -1, 2/7, 1
Let g(i) be the second derivative of i**6/40 - 27*i**5/80 + 9*i**4/8 + 4*i**3 - 36*i**2 + 940*i. Factor g(z).
3*(z - 4)**2*(z - 3)*(z + 2)/4
Let p(f) be the second derivative of -1/6*f**6 + 5/6*f**4 + 0*f**3 - 5/2*f**2 + 0 + 0*f**5 + 11*f. Factor p(d).
-5*(d - 1)**2*(d + 1)**2
Let p = -54 + 21. Let h(f) = -471*f**3 + 849*f**2 - 360*f + 81. Let g(v) = -59*v**3 + 106*v**2 - 45*v + 10. Let t(b) = p*g(b) + 4*h(b). Factor t(y).
3*(y - 1)*(3*y - 1)*(7*y - 2)
Suppose -5*h - 9*r + 6*r - 3 = 0, 0 = -4*h + 4*r + 4. Let 0*m - 2/3*m**5 + 4/3*m**3 + h*m**2 + 0 + 2/3*m**4 = 0. What is m?
-1, 0, 2
Let l(n) be the first derivative of 4*n**3/21 - 24*n**2 + 1008*n - 68. Factor l(h).
4*(h - 42)**2/7
Suppose -l = -4*k + 13, 2*l + 6 = 2*k - 4*k. Factor 8*i**k + 4*i + 11*i**3 + 5*i**3 - 12*i**3.
4*i*(i + 1)**2
Suppose -2*l - 3*z + 5 = 0, -35 = 3*l - 4*z - 51. Let r(h) be the second derivative of 0 - 1/90*h**5 - 3*h + 0*h**2 + 0*h**3 - 1/27*h**l. What is w in r(w) = 0?
-2, 0
Factor -7/2*m + 15/4 - 1/4*m**2.
-(m - 1)*(m + 15)/4
Let d be -3 + 8 - 2*(-9)/(-6). What is f in -4*f**3 - 8*f**d + 4 + 12 - 32*f + 11*f**2 + 17*f**2 = 0?
1, 2
Let b(f) = -f**4 + f**3 + f**2 + 1. Let p(h) = 2*h**5 - 15*h**4 + 61*h**3 - 115*h**2 + 96*h - 35. Let l(c) = 3*b(c) + p(c). Solve l(v) = 0.
1, 2
Let m(w) be the second derivative of 0 + 1/4*w**4 + 2*w**3 + 5*w + 6*w**2. Determine u, given that m(u) = 0.
-2
Let y(h) be the first derivative of -4*h**3/27 + 2*h**2 + 134. Factor y(u).
-4*u*(u - 9)/9
Let y = 123 + -73. Let j = y - 48. Find b, given that -1/2*b**j + 1/2*b**3 + 0*b + 0 = 0.
0, 1
Let d(s) be the third derivative of s**7/7560 + s**6/2160 - s**5/60 + 37*s**4/24 + 30*s**2. Let c(q) be the second derivative of d(q). Solve c(o) = 0 for o.
-3, 2
Let x(l) be the first derivative of -2/3*l**3 + 23/7*l**2 + 24 - 12/7*l. Find n such that x(n) = 0.
2/7, 3
Let k(z) be the second derivative of z**7/630 - z**6/90 + z**5/30 - 25*z**4/12 - 19*z. Let o(y) be the third derivative of k(y). Suppose o(p) = 0. What is p?
1
What is g in -3/4*g**2 - 69/4 - 18*g = 0?
-23, -1
Let h be -1 - 6*(-2)/4. Suppose 3*r**3 - 7*r**h + r**2 - 2*r**3 + 4*r**2 = 0. Calculate r.
0, 2
Let m(c) be the second derivative of c**6/180 + 3*c**5/40 + 5*c**4/24 + 7*c**3/36 + 44*c. Factor m(s).
s*(s + 1)**2*(s + 7)/6
Let h(y) = 2*y + 2. Let g(q) = q**2 + 10*q + 11. Let z be 4/16 + (-47)/(-4). Suppose 3*v - 6*v + 4 = 5*b, 5*v = b - z. Let k(m) = b*g(m) - 11*h(m). Factor k(o).
2*o*(o - 1)
Let t = -82 + 102. Suppose 4*y - t = -4. Let b**y + 0*b**2 + 1/2*b**3 + 0*b + 0 + 1/2*b**5 = 0. Calculate b.
-1, 0
Find f such that -3/4*f**3 - 63/4*f**2 - 57/4 - 117/4*f = 0.
-19, -1
Let j(n) be the second derivative of 2*n**5 - 3*n**4 - 14*n**3 - 4*n**2 - 50*n + 1. Factor j(w).
4*(w - 2)*(w + 1)*(10*w + 1)
Suppose 0 = -3*g + u + 3, 5*g - 3*u = 2*u - 5. Suppose -34*z - g*z**2 - 2*z**2 - 2*z - 196 + 92*z = 0. Calculate z.
7
Find q such that -3*q + 12*q - 4*q**2 + q**2 - q**2 + 3*q = 0.
0, 3
Let y = 13 + -9. Suppose 3 + 11*z - 1 - 12*z**3 - 19*z + 2*z**y + 4*z**3 + 12*z**2 = 0. What is z?
1
Let g be 10 - 3*100/30. Let h(b) be the second derivative of 0*b**2 - 1/60*b**5 - 6*b - 1/18*b**4 + 0*b**3 + g. Let h(k) = 0. Calculate k.
-2, 0
Let w be 4*(1 + 38/(-44)). Suppose 0 = 1187*m - 1109*m - 390. Factor w*u**m + 14/11*u**3 + 0 + 0*u + 16/11*u**4 + 4/11*u**2.
2*u**2*(u + 1)**2*(3*u + 2)/11
Let r(i) be the first derivative of -28*i**5/5 - 79*i**4 + 204*i**3 - 82*i**2 - 104*i + 52. Let r(s) = 0. Calculate s.
-13, -2/7, 1
Let s(c) be the third derivative of 1/39*c**4 + 5 + 4/39*c**3 + 2*c**2 + 0*c + 1/390*c**5. Factor s(u).
2*(u + 2)**2/13
Let c(z) = z**3 + 10*z**2 + 7*z - 8. Let x be c(-9). Factor -3*d**3 - x - 3*d**3 + 6*d + 3*d**4 + 7.
3*(d - 1)**3*(d + 1)
Let w(x) = 2*x**2 + 2*