 + 9/5*y**2.
y**2*(y + 1)*(y + 3)**2/5
Let s(b) be the second derivative of b**6/180 - b**5/20 + b**4/6 - 5*b**3/18 + b**2/4 + 64*b. Factor s(a).
(a - 3)*(a - 1)**3/6
Let m = -4269 - -93937/22. Let w = -4/11 + m. Factor 1/4*h**3 + 0 - w*h + 1/4*h**2.
h*(h - 1)*(h + 2)/4
Suppose -5*n - 2*f = -4*n - 8, -4*n + 2 = 2*f. Let m be 3 + 1 + 0 - n. Factor 10*g**3 - 6*g**5 - 5*g**4 + 10*g**2 - m*g**5 - 5 - 5*g + 7*g**5 + 0*g**5.
-5*(g - 1)**2*(g + 1)**3
Let m(r) be the first derivative of r**6/6 - r**5/2 - r**4/2 + 11*r**3/6 + r**2 - 2*r + 10. Solve m(t) = 0.
-1, 1/2, 2
Suppose 0 = 29*y - 17*y. Let b(c) be the second derivative of 0*c**2 + 1/4*c**3 - 1/28*c**7 + y*c**5 - 1/4*c**4 + 1/10*c**6 - 5*c + 0. Solve b(v) = 0 for v.
-1, 0, 1
Let f(z) be the third derivative of 3*z**7/280 - 7*z**6/160 + z**5/60 + z**4/24 - 5*z**2 - 1. Suppose f(b) = 0. Calculate b.
-1/3, 0, 2/3, 2
Suppose 0 = l - y + 3, 3*y + 12 = -2*l + 7*y. Let s(d) be the second derivative of -1/20*d**5 + l + 1/12*d**4 - d + 0*d**3 + 0*d**2. Factor s(j).
-j**2*(j - 1)
Let b = 30 + -12. Let j = 2 - 6. Let x(m) = -2*m**4 - 2*m**3 - 2*m**2 + 2. Let w(f) = -8*f**4 - 7*f**3 - 8*f**2 + 9. Let h(l) = b*x(l) + j*w(l). Factor h(i).
-4*i**2*(i + 1)**2
Let b(i) be the third derivative of i**8/840 + i**7/175 - 3*i**6/50 - 43*i**5/75 - 37*i**4/20 - 3*i**3 - 370*i**2. Solve b(q) = 0.
-3, -1, 5
Suppose -258*c + 333*c - 225 = 0. Let b be (-8)/21 + (-4)/(-6). Factor 2/7*x**5 + 0*x - 2/7*x**2 - 2/7*x**c + 0 + b*x**4.
2*x**2*(x - 1)*(x + 1)**2/7
Factor -u + 2372 + 3*u**3 - 2378 - 2*u + 6*u**2.
3*(u - 1)*(u + 1)*(u + 2)
Let c(q) be the second derivative of -q**6/1440 + q**4/96 - 8*q**3/3 + 2*q. Let r(v) be the second derivative of c(v). Suppose r(k) = 0. Calculate k.
-1, 1
What is p in -672/11*p**2 - 108/11 + 558/11*p - 128/11*p**3 = 0?
-6, 3/8
Let w(h) = -6*h**2 + 156*h - 1442. Let b(g) = 13*g**2 - 314*g + 2883. Let c(f) = 2*b(f) + 5*w(f). Factor c(r).
-4*(r - 19)**2
Let d(n) be the first derivative of -n**4/26 - 4*n**3/39 + 5*n**2/13 + 12*n/13 - 66. Let d(o) = 0. Calculate o.
-3, -1, 2
Let k(q) = -q**3 - 12*q**2 + 31*q + 45. Let o be k(-14). Let l(r) be the third derivative of 0 + 0*r - 1/54*r**5 - 1/27*r**3 - 1/18*r**4 - o*r**2. Factor l(u).
-2*(u + 1)*(5*u + 1)/9
Factor 1/10*o**3 - 1/10*o**2 - 21/10*o + 9/2.
(o - 3)**2*(o + 5)/10
Factor -31*y**3 - 75*y**3 - 21*y**3 - 84*y**2 - 2*y**4 + 12*y**3 + 29*y**3.
-2*y**2*(y + 1)*(y + 42)
Let c(s) be the third derivative of -s**7/819 + s**6/1560 + s**5/390 + 5*s**4/6 + 47*s**2. Let h(t) be the second derivative of c(t). Factor h(u).
-2*(4*u + 1)*(5*u - 2)/13
Let w(z) be the first derivative of -1/3*z**3 - 2 + 4*z - 3/2*z**2. Suppose w(l) = 0. What is l?
-4, 1
Factor -3/7*o**2 - 1/7*o**3 + 0 + 0*o.
-o**2*(o + 3)/7
Let f(b) = b**2 - 11*b. Let g be f(11). Suppose -3*k + 6 + g = 0. Solve s**3 + 9*s**k + 7*s**3 + 2*s + s**4 + 4*s**3 + 4*s**4 = 0 for s.
-1, -2/5, 0
Let g(m) be the first derivative of -7/2*m**2 + m - 9/4*m**4 + 5*m**3 + 4. Factor g(t).
-(t - 1)*(3*t - 1)**2
Let z(x) be the first derivative of 2/5*x**3 + 15 - 2/5*x**2 - 2/5*x. Solve z(n) = 0.
-1/3, 1
Let n(u) = 8*u + 149. Let p be n(-17). Let c(h) be the first derivative of p - 1/3*h**3 - 16*h - 4*h**2. Factor c(w).
-(w + 4)**2
Let n(o) = 170*o**2 + 560*o + 190. Let f(p) = p**2 + 1. Let r(h) = -15*f(h) + n(h). Let m(b) = 14*b**2 + 51*b + 16. Let s(u) = 65*m(u) - 6*r(u). Factor s(l).
-5*(l + 2)*(4*l + 1)
Let f(o) be the first derivative of o**3 - 9/4*o**4 - 6*o - 26 + 9/2*o**2 + 3/5*o**5. Factor f(d).
3*(d - 2)*(d - 1)**2*(d + 1)
Solve -25*r**3 + 30*r**4 - 25*r**4 - 18*r + 3*r + 35*r**2 = 0.
0, 1, 3
Let 17*j**3 + 14*j**3 + 2*j**2 + 9*j**3 - 47*j**3 = 0. Calculate j.
0, 2/7
Let r(v) = -v**3 + v**2 - 2*v - 2. Let j be r(-3). Let k = j + -36. Find p such that -p + 1/3*p**5 + 2/3*p**3 - 2/3*p**2 - 1/3 + p**k = 0.
-1, 1
Let o(k) be the third derivative of 3*k**6/10 + 141*k**5/10 + 52*k**4/3 + 23*k**3/3 + 430*k**2. Factor o(h).
2*(h + 23)*(3*h + 1)*(6*h + 1)
Let g be ((-20)/(-50))/(2 + 9/(-5)). Let v(t) be the first derivative of -1/9*t**3 + 4 + 0*t**g - 1/12*t**4 + 0*t. Let v(r) = 0. What is r?
-1, 0
Let v(r) = 4*r**2 - 2*r. Let j(c) = -27*c**2 - 108*c + 252. Let p(u) = -j(u) - 6*v(u). Suppose p(x) = 0. Calculate x.
-42, 2
Let m(z) be the second derivative of z**6/10 + 4*z**5/15 - 2*z**4/3 + 9*z**2/2 + 5*z. Let f(y) be the first derivative of m(y). Suppose f(l) = 0. What is l?
-2, 0, 2/3
Suppose -313*k + 316*k + 4*n = 29, n = -3*k + 14. Determine o so that -1/2*o**k - 32*o - 8*o**2 + 0 = 0.
-8, 0
Suppose 5*s - 55 - 55 = 0. Let b be (8/5)/(s/5). Factor 2/11*q - b + 6/11*q**2.
2*(q + 1)*(3*q - 2)/11
Let g = 48/1111 + 1886/7777. Solve 8/7*v - 6/7 - g*v**2 = 0.
1, 3
Suppose 3*q + 61 = 4*x, -x - 3*x + 67 = -5*q. Suppose 0 = 16*n - x*n - 9. Suppose -z**n + 0 - 1/2*z**5 + 3/2*z + 2*z**4 - 2*z**2 = 0. Calculate z.
-1, 0, 1, 3
Let h(w) be the second derivative of w**6/2520 - w**5/280 + w**4/84 + 7*w**3/6 + 5*w. Let y(g) be the second derivative of h(g). Factor y(t).
(t - 2)*(t - 1)/7
Suppose 30 = 4*o - 26. Let f be 4/o*(3 + 1 - 2). Let f + 2/7*m**2 - 6/7*m = 0. Calculate m.
1, 2
Factor d**3 + 19/4*d + 19/4*d**2 - 3/2.
(d + 2)*(d + 3)*(4*d - 1)/4
Determine i so that -103*i**3 + 47*i**3 + 46*i**3 + 5*i**5 + 5*i**4 = 0.
-2, 0, 1
Let d(a) be the second derivative of 1/16*a**4 + 9*a - 3/8*a**3 + 3/4*a**2 + 0. Factor d(w).
3*(w - 2)*(w - 1)/4
Let c(v) be the first derivative of -1/5*v**5 - v**3 + 0*v + 23 - 3/4*v**4 - 1/2*v**2. Factor c(k).
-k*(k + 1)**3
Let s = -21 + 8. Let c = 17 + s. Let -d**4 + 7*d**c - 2*d**5 - 8*d**4 = 0. What is d?
-1, 0
Let p(t) be the second derivative of -t**9/83160 + t**8/4620 - 4*t**7/3465 - 13*t**4/12 - t. Let v(r) be the third derivative of p(r). Factor v(d).
-2*d**2*(d - 4)**2/11
Let k(u) be the third derivative of -u**6/40 + 13*u**5/20 - 55*u**4/8 + 75*u**3/2 - 6*u**2 + 3. Factor k(g).
-3*(g - 5)**2*(g - 3)
What is n in -39/2*n + 1/2*n**4 + 39/2*n**3 + 73/2*n**2 - 37 = 0?
-37, -2, -1, 1
Let g(h) be the first derivative of 2*h**6/15 + 8*h**5/5 + 6*h**4 + 32*h**3/3 + 10*h**2 + 21*h + 15. Let t(j) be the first derivative of g(j). Factor t(i).
4*(i + 1)**3*(i + 5)
What is w in 0*w + 0*w**2 + 1/2*w**4 + 28*w**3 + 0 = 0?
-56, 0
Factor 16*v**2 - v**3 - 9533 + 9533 - 64*v.
-v*(v - 8)**2
Suppose 2*u + 2 = -2*l, 4*u - 7*u = -5*l - 5. Solve u - 1/4*i**2 + 0*i = 0.
0
Let h(m) be the first derivative of 1/4*m**5 - 16 - 7/24*m**6 + 9/16*m**4 - 1/4*m**2 + 0*m - 5/12*m**3. Solve h(k) = 0.
-1, -2/7, 0, 1
Let y(p) be the first derivative of 6/5*p + 33 + 2/15*p**3 - 4/5*p**2. Find w such that y(w) = 0.
1, 3
Let j be ((-210)/(-40))/21 - 2/(-1). Let r(g) be the first derivative of 0*g + 13/4*g**3 - 4 + j*g**2 + 3/4*g**4 - 9/20*g**5. Let r(y) = 0. What is y?
-1, -2/3, 0, 3
Let -12/17*b**2 - 18/17*b - 2/17*b**3 - 8/17 = 0. Calculate b.
-4, -1
Let g = 3107/45 - 343/5. Let x = g + 2/9. Find t, given that -x*t**2 - 2 + 8/3*t = 0.
1, 3
Let r(l) be the second derivative of l**6/165 + l**5/22 + l**4/33 - 20*l**3/33 - 24*l**2/11 - 487*l. Suppose r(g) = 0. What is g?
-3, -2, 2
Let m(d) be the first derivative of d**6/24 - 9*d**5/20 + 3*d**4/2 - 4*d**3/3 - 85. Factor m(o).
o**2*(o - 4)**2*(o - 1)/4
Let x(p) be the first derivative of p**5/20 + 2*p**2 - 12. Let l(q) be the second derivative of x(q). Factor l(d).
3*d**2
Let b(w) be the first derivative of 112/15*w**5 - 2*w**3 + 0*w + 0*w**2 - 7 + 245/18*w**6 - 13/4*w**4. Factor b(r).
r**2*(5*r - 2)*(7*r + 3)**2/3
Let n be (-3)/7*1506/9. Let p = 72 + n. Let 2/7*i - p*i**2 + 4/7 = 0. What is i?
-1, 2
Suppose 0*w = -6*w + 60. Determine j so that -5*j - 5*j**4 + 0*j**4 + w*j + 5*j**2 - 5*j**3 = 0.
-1, 0, 1
Let h = 1177 + -22383/19. Let z = -24/95 - h. Factor 0*u - z*u**2 + 2/5*u**4 + 0 + 2/5*u**3.
2*u**2*(u - 1)*(u + 2)/5
Let a(c) = 4*c**3 + 5*c**2 + 38*c - 128. Let o(v) = 22*v**3 + 24*v**2 + 192*v - 640. Let t(n) = 16*a(n) - 3*o(n). Suppose t(z) = 0. What is z?
-4, 4
Let i(x) be the third derivative of -x**7/7 - 8*x**6/15 + 41*x**5/30 + x**4/2 + 2*x**2 + 2. Suppose i(s) = 0. Calculate s.
-3, -2/15, 0, 1
Let g(x) be the first derivative of x**3/2 + 45*x**2/2 - 93*x/2 - 170. Solve g(p) = 0.
-31, 1
Let b(w) be the first derivative of -w**4/2 - 42*w**3/5 + 26*w**2/5 - 67. Factor b(i)