ivative of 2/15*s**5 - 2/9*s**3 - 1/18*s**6 + 0*s**4 + 1/6*s**2 + 0*s - 1. Suppose u(b) = 0. Calculate b.
-1, 0, 1
Factor -5*r**2 + 17*r**2 - 6*r - 2*r**4 + 6*r**3 - 10*r**2.
-2*r*(r - 3)*(r - 1)*(r + 1)
Suppose -x + 2 = -0*x. Factor 0*o**2 + o - 3*o**x + 3 - o.
-3*(o - 1)*(o + 1)
Factor 2/7*l**2 - 2/7*l**3 + 0 + 2/7*l - 2/7*l**4.
-2*l*(l - 1)*(l + 1)**2/7
Solve -18*f**3 - 26*f - 3 + 39*f - 39*f**2 - 37*f = 0 for f.
-1, -1/6
Let p(r) be the second derivative of r**6/420 + 2*r**5/105 + r**4/21 - r**2 + 2*r. Let t(z) be the first derivative of p(z). Determine h, given that t(h) = 0.
-2, 0
Let q = 43 + -38. Let w(v) be the first derivative of -4 - 5/12*v**3 + 1/5*v**q - 3/8*v**2 + 3/16*v**4 + 1/4*v. Find r such that w(r) = 0.
-1, 1/4, 1
Factor 80 - 40*g + 4*g**2 + 20 + 0.
4*(g - 5)**2
Let m(q) be the first derivative of -2 + 1/3*q**3 + 1/10*q**5 + 1/4*q**4 - 3*q + 1/60*q**6 + 1/4*q**2. Let y(s) be the first derivative of m(s). Factor y(p).
(p + 1)**4/2
Let j(h) be the third derivative of h**9/211680 + h**8/35280 - h**7/17640 - h**6/1260 - h**5/60 - h**2. Let o(w) be the third derivative of j(w). Factor o(v).
2*(v - 1)*(v + 1)*(v + 2)/7
Suppose -p - 4*p = -1780. Suppose 3*n = -d + p, 3*d + 3 = -9. Factor 27*q**3 + 71*q**3 + 8 + 22*q**2 - 8*q - n*q**2.
2*(q - 1)*(7*q - 2)*(7*q + 2)
Let u(j) = 11*j**3 - 37*j**2 + 31*j + 8. Let h(q) = -11*q**3 + 38*q**2 - 32*q - 8. Let k(m) = -5*h(m) - 4*u(m). Factor k(s).
(s - 2)**2*(11*s + 2)
Factor 0 + 8/3*a**2 + 4/9*a.
4*a*(6*a + 1)/9
Suppose -4*m = 4, m + 2*m = 3*x - 15. Suppose 43/3*r**2 - 11/3*r + 56/3*r**x + 1/3 - 16/3*r**5 - 73/3*r**3 = 0. Calculate r.
1/4, 1
Factor 403*z**2 + 413*z**2 - 571*z**2 + 80 - 280*z.
5*(7*z - 4)**2
Let f(z) = 4*z - 10*z**3 + 4 - 4 + 4*z**3 + 2*z**2 + 4. Let q(h) = 13*h**3 - 5*h**2 - 9*h - 9. Let j(p) = -9*f(p) - 4*q(p). Determine o, given that j(o) = 0.
-1, 0
Let q(m) be the third derivative of m**9/5400 + m**8/3360 + m**7/6300 - m**5/15 + 2*m**2. Let z(y) be the third derivative of q(y). Solve z(i) = 0.
-2/7, -1/4, 0
Let s = 116 + -1159/10. Let g(z) be the second derivative of -1/2*z**2 - 1/28*z**7 + 0 - s*z**5 + 7/12*z**3 - z - 1/4*z**4 + 2/15*z**6. Solve g(a) = 0 for a.
-1, 2/3, 1
Determine a so that -9/2*a**3 + 0 + 3/4*a**4 - 6*a + 9*a**2 = 0.
0, 2
Suppose g + 4*q = 14, -q = g - 9 - 2. Suppose f = z + 8, -f + 5*z + 14 + g = 0. Determine l so that -1/2*l + 1/2*l**3 - 1/2*l**f + 0 + 1/2*l**2 = 0.
-1, 0, 1
Let w be (-61)/(-2) + 0 - 1. Let g = w - 29. Factor -1/2*l**2 - g*l**3 + 0 + l.
-l*(l - 1)*(l + 2)/2
Let x be 9/27*3240/7. Let z = -154 + x. Find r, given that z*r**2 + 4/7*r + 2/7 = 0.
-1
Factor -2/5*o**4 + 4/5*o**3 + 0*o + 0 - 2/5*o**2.
-2*o**2*(o - 1)**2/5
Let m(x) = 3*x + 0*x - 5*x - 3 + 4*x. Let o be m(3). What is g in -1/2*g + g**2 + 1/2*g**o - 1 = 0?
-2, -1, 1
Let j(n) be the second derivative of -n**5/60 + n**3/6 + n**2/3 - 3*n. Find s, given that j(s) = 0.
-1, 2
Suppose -i - 2 = -h, 3*h + i - 1 - 5 = 0. Determine z so that z**3 - z**3 - 3*z**2 + 5*z**3 - h*z**3 = 0.
0, 1
Let c = -7 - -9. Let 1 - 3*s**2 + s**c + 2 - s**2 = 0. Calculate s.
-1, 1
Suppose 0*x + 14 = 3*x - 2*y, 0 = 5*x - 3*y - 22. Let d = 9 + -9. Factor 3*s**x - 3*s**2 - 2*s**3 + d*s**2 + 2*s**2.
-2*s**2*(s - 1)
Let j(p) be the third derivative of 2*p**7/525 - p**6/30 + p**5/75 + 7*p**4/10 - 12*p**3/5 - 2*p**2 - 3*p. Suppose j(i) = 0. Calculate i.
-2, 1, 3
Let d = -5/33 + 49/33. Factor 1/3*s - d*s**3 + 0*s**2 + 0.
-s*(2*s - 1)*(2*s + 1)/3
Let d(u) be the first derivative of -2*u**5/5 - u**4 + 8*u**3 - 14*u**2 + 10*u + 33. Factor d(w).
-2*(w - 1)**3*(w + 5)
Let z = 436/7 + -62. Factor 4/7*d**2 + z*d + 0*d**3 + 0 - 4/7*d**4 - 2/7*d**5.
-2*d*(d - 1)*(d + 1)**3/7
Let m(i) = 2*i**3 - i**2 - 5. Let p(a) = -a**3 + 2. Let r = 7 + -12. Let q(b) = r*p(b) - 2*m(b). Determine v so that q(v) = 0.
-2, 0
Suppose 8/11*c**2 - 2/11 - 4/11*c**3 + 4/11*c - 6/11*c**4 = 0. What is c?
-1, 1/3, 1
Let r(u) = u**2 - 10*u. Let t be r(10). Let x(b) be the third derivative of 0*b**3 - 1/30*b**5 + 1/24*b**6 + 1/30*b**7 + 0*b - b**2 + t*b**4 + 0. Factor x(l).
l**2*(l + 1)*(7*l - 2)
Factor 6*t**2 - t**3 - 4*t**2 - t**3 - 6*t - 2 + 8*t.
-2*(t - 1)**2*(t + 1)
Let q(a) be the first derivative of -4*a**3/3 - 4*a**2 - 4*a + 39. Determine j, given that q(j) = 0.
-1
Let s(m) = 4*m - 5*m + m + m**2 + 2*m + 5. Let q(o) = o**2 + 2*o + 4. Let k(j) = 5*q(j) - 4*s(j). Let k(p) = 0. Calculate p.
-2, 0
Let g be -15*(-1 - (-6)/15). Factor g*q**2 - 12 + 9*q**3 - 12*q + 3*q**3 + 3*q**4 + 0*q**3.
3*(q - 1)*(q + 1)*(q + 2)**2
Let l = 20 - 56. Let t be l/(-10) - 18/30. Factor -9*u**t + 3 - 9*u**4 - 3*u**5 - 3*u**2 + 3*u**3 + 9*u + 9*u**2.
-3*(u - 1)*(u + 1)**4
Let y(q) be the third derivative of 0 - 1/480*q**6 + 4*q**2 + 0*q - 1/32*q**4 + 1/24*q**3 + 1/80*q**5. Suppose y(n) = 0. Calculate n.
1
Let u = 15/32 - 11/160. Suppose 0 + u*p**2 - 2/5*p = 0. Calculate p.
0, 1
Let d = -2/199 - -223/2388. Let h(w) be the third derivative of 1/30*w**5 + 2*w**2 + 0 - 1/60*w**6 + 0*w - 1/3*w**3 + d*w**4. Suppose h(c) = 0. Calculate c.
-1, 1
Let r be -2 + 26*(-2)/(-24). Let j(n) be the first derivative of r*n**3 - 1 + 1/4*n**2 + 0*n. Factor j(z).
z*(z + 1)/2
Let i(w) be the third derivative of 0*w + 0 - 1/24*w**4 + 0*w**3 - 3*w**2 + 1/60*w**5. Let i(p) = 0. Calculate p.
0, 1
Solve -100*l**2 + 35*l**2 + 25 + 30*l + 36*l**2 + 34*l**2 = 0.
-5, -1
Factor -5 - 5*u**2 + 12*u**2 + 6*u - 12*u**2 + 4.
-(u - 1)*(5*u - 1)
Let a(o) be the third derivative of -o**7/3360 + o**6/1440 - o**3/3 - 2*o**2. Let g(b) be the first derivative of a(b). Suppose g(z) = 0. What is z?
0, 1
Determine l so that -24*l + 894*l**3 + 7*l**4 - 100*l**2 + 21*l**4 - 942*l**3 = 0.
-1, -2/7, 0, 3
Let d(b) be the second derivative of -b**4/14 - 2*b**3/21 + 7*b. Solve d(h) = 0 for h.
-2/3, 0
Determine u, given that 2/5*u**2 + 18/5 - 12/5*u = 0.
3
Let u(t) be the first derivative of -t**4/8 + t**3/3 - t**2/4 - 9. Factor u(b).
-b*(b - 1)**2/2
Let f = -1 - -7. Suppose -t + f = 2*t. Solve 0*j**2 - 1 + 0 - j**t + 2*j = 0.
1
Let p(f) be the first derivative of -2*f**5/65 + f**4/13 - 2*f**2/13 + 2*f/13 + 1. Find n such that p(n) = 0.
-1, 1
Let z(y) be the third derivative of -y**6/120 - y**5/40 - y**3/2 - 2*y**2. Let d(a) be the first derivative of z(a). Solve d(g) = 0.
-1, 0
Let p(j) = j**3 + 6*j**2 - j - 4. Let o be p(-6). Suppose r = o*r. Find c such that 3 + 18*c + r + 0*c**3 + 27*c**2 + 12*c**3 = 0.
-1, -1/4
Let v(g) = 26*g**5 - 68*g**4 + 50*g**3 + 10*g**2 - 28*g + 8. Let c(k) = k**5 - k**3 - k**2. Let p(n) = 2*c(n) - v(n). Find a, given that p(a) = 0.
-2/3, 1/2, 1
Let o(q) = 3*q - 93. Let i be o(32). Factor -2/5*p**i + 0 + 0*p - 2/5*p**2.
-2*p**2*(p + 1)/5
Let n(p) be the second derivative of -p**4/150 - 4*p**3/75 - 3*p**2/25 - 13*p. Factor n(u).
-2*(u + 1)*(u + 3)/25
Let c(w) = -w**4 - w**3 - w**2 - w. Let b(d) = 2*d**5 + 5*d**4 + 5*d**3 - 7*d**2 - 13*d - 4. Let p(z) = 2*b(z) - 6*c(z). Factor p(n).
4*(n - 1)*(n + 1)**3*(n + 2)
Let o = 47/66 + -1/22. Find d such that 0*d + o*d**3 + 8/3 - 2*d**2 = 0.
-1, 2
Factor -s**3 + 686*s**4 - 5*s**3 - 688*s**4.
-2*s**3*(s + 3)
Let c(d) be the first derivative of d**3 + 3/8*d**2 + 0*d + 3/5*d**5 - 2 + 9/8*d**4 + 1/8*d**6. Factor c(m).
3*m*(m + 1)**4/4
Suppose -d = 2*c - 1, 5*c = -5*d - 1 - 9. Factor 3*m**2 - 4*m**2 + 4*m**5 + 3*m**2 - 9*m**4 - 2*m**4 + 5*m**c.
m**2*(m - 2)*(m - 1)*(4*m + 1)
Let s(m) = -m**4 - m**3 + m**2 + m. Let x(p) = -137*p**4 - 513*p**3 - 587*p**2 - 243*p - 32. Let a(b) = -3*s(b) - x(b). Find d such that a(d) = 0.
-2, -1, -2/5, -2/7
Let p = -20 + 11. Let d be p/(-5) - 6/(-30). Determine g so that 1 - 4 + 4 + 0*g**2 - g**d = 0.
-1, 1
Suppose 2*k + 3*y - 15 = 0, 3*k + y - 24 = -2*y. Suppose -5*v + k = -2*v. Let -2*f**5 - f**v - 4*f + 4*f + 3*f**5 = 0. What is f?
-1, 0, 1
Let a(d) be the second derivative of d**6/30 - d**5/70 - d**4/12 + d**3/21 + 3*d. Suppose a(s) = 0. Calculate s.
-1, 0, 2/7, 1
Let n be ((-2 - -2)/(0 - -1))/1. Suppose -1/5*y**4 + n*y**2 + 3/5*y**3 + 0 + 0*y = 0. Calculate y.
0, 3
Let p be (24/21)/(18/7). Solve -4/9*l**2 + 2/9*l + p - 2/9*l**3 = 0.
-2, -1, 1
Let u(r) be the first derivative of -r**4/16 - 5*r**3/24 - r**2/4 - 5*r - 6. Let t(y) be the first derivative of u(y). Factor t(f).
-(f + 1)*(3*f + 2)/4
Let m(d) = d**2 + 14*d - 27. Le