/6 + 23*w**2/4 + 9*w - 13. Factor h(d).
(d + 1)*(5*d + 18)/2
Factor 4/9*x - 22/9*x**2 + 32/9*x**3 + 0 - 14/9*x**4.
-2*x*(x - 1)**2*(7*x - 2)/9
Let t(f) be the second derivative of f**7/105 + f**6/15 + f**5/6 + f**4/6 - 5*f**2/2 - 9*f. Let m(v) be the first derivative of t(v). Let m(l) = 0. Calculate l.
-2, -1, 0
Determine q, given that 9/4*q**3 - 1/4*q**5 - 9/4*q**2 + 0 + 0*q + 1/4*q**4 = 0.
-3, 0, 1, 3
Let f(u) be the second derivative of u**6/1260 - u**5/315 - u**4/252 + 2*u**3/63 - 27*u**2/2 - 28*u. Let d(k) be the first derivative of f(k). Factor d(i).
2*(i - 2)*(i - 1)*(i + 1)/21
Suppose -4 = 7*g - 25. Let 3*b**g + b - 6*b**2 - b - 5*b**3 = 0. What is b?
-3, 0
Suppose -1444*o = -1449*o. Let k(a) be the third derivative of 0 - 1/12*a**4 - 1/6*a**3 + 5*a**2 + o*a - 1/60*a**5. What is z in k(z) = 0?
-1
Let z = 39 + -32. Factor 6*d**3 - 1 - 18*d**2 - d**3 + 3*d + 4*d + z.
(d - 3)*(d - 1)*(5*d + 2)
Let f = -55 - -57. Let w = 18 + -13. Solve 2*o**3 + 4*o**3 + o**f - o - o**4 - w*o**3 = 0.
-1, 0, 1
Suppose -2*p + 4*u + 34 = -u, -3*u - 40 = -4*p. Suppose -p + 1 = -2*o. Factor -48*i**4 - 3*i**o + 50*i**4 + i**3 - 4*i**2.
2*i**2*(i - 2)*(i + 1)
Let g(w) be the first derivative of w**5/110 - w**4/22 + w**3/11 - w**2/11 + 15*w - 12. Let f(q) be the first derivative of g(q). Factor f(o).
2*(o - 1)**3/11
Let s be (-2)/2*(-45)/15. Let t(j) be the second derivative of 1/36*j**4 + 0*j**2 - 1/60*j**5 + 1/18*j**s - 8*j - 1/90*j**6 + 0. Let t(g) = 0. What is g?
-1, 0, 1
Let l(b) be the second derivative of 8/3*b**7 - 16/3*b**3 + 114/5*b**5 - 4/3*b**4 + 0 + 0*b**2 - 17*b + 226/15*b**6. Suppose l(n) = 0. Calculate n.
-2, -2/7, 0, 1/4
Let b(h) be the third derivative of 17*h**2 + 0*h - 1/2*h**4 + 0 - 4*h**3 - 1/40*h**5. Factor b(t).
-3*(t + 4)**2/2
Let q(r) = 2*r**2 - 170*r + 492. Let h be q(3). Suppose -16/7*z - 4/7*z**3 - 20/7*z**2 + h = 0. Calculate z.
-4, -1, 0
Let 1 - p**4 - 1 + 4*p**3 - 2*p**5 - 8*p**2 - 2*p + 4 + 5*p**4 = 0. Calculate p.
-1, 1, 2
Let i be 2201/2418 + 2/12. Let x = -29/39 + i. Factor -2/3*u - 1/3*u**2 - x.
-(u + 1)**2/3
Let x = 3168 + -53834/17. Factor -2/17*o**3 - 14/17*o**2 - 10/17 - x*o.
-2*(o + 1)**2*(o + 5)/17
Let z(r) be the second derivative of r**6/15 + 5*r**5/2 - 9*r**4 - 976*r. Factor z(p).
2*p**2*(p - 2)*(p + 27)
Factor 118/5*r**2 - 92/5*r - 57/5*r**3 + 24/5 + 9/5*r**4.
(r - 3)*(r - 2)*(3*r - 2)**2/5
Let i be 30/7 - 8/28. Let -8*r**2 - i*r - 1/2 = 0. What is r?
-1/4
Let j(u) be the second derivative of u**7/504 - u**6/48 + 4*u**4/3 + 15*u. Let d(f) be the third derivative of j(f). Factor d(p).
5*p*(p - 3)
Let n(y) be the second derivative of 19*y - 55/6*y**4 - 17/6*y**6 - 5/2*y**2 + 10/21*y**7 + 20/3*y**3 + 7*y**5 + 0. Factor n(w).
5*(w - 1)**4*(4*w - 1)
Let n(b) be the third derivative of b**5/120 - 5*b**4/24 + 25*b**3/12 + b**2 - 28*b. Factor n(q).
(q - 5)**2/2
Let -2/3*u**2 + 0*u - 2/3*u**5 + 0 - 2*u**3 - 2*u**4 = 0. Calculate u.
-1, 0
Let d(q) = -4*q**2 - 15*q + 12. Let r(t) be the first derivative of 4*t**3/3 + 7*t**2 - 12*t - 1. Let u(k) = 6*d(k) + 7*r(k). Determine l so that u(l) = 0.
-3, 1
Let n(f) = -f**3 + 4*f + 1. Let r be n(0). Let l be 44/66*r/3. Factor l*u**3 - 2/9*u**2 + 0 + 0*u.
2*u**2*(u - 1)/9
Suppose 3*g - 21 = -5*x, x + 153*g = 154*g + 1. Let 2/13*p**x - 16/13*p - 24/13 + 2/13*p**2 = 0. Calculate p.
-2, 3
Determine z, given that -19*z**5 - 18 + z**5 - 184*z**3 + z**2 - 216*z**4 + 62 + 171*z**2 + 202*z = 0.
-11, -1, -2/3, -1/3, 1
Let s(p) = -4*p**5 - 8*p**4 - 14*p**3 + 13*p**2 - 13*p. Let h(z) = -z**5 - 2*z**4 - 3*z**3 + 3*z**2 - 3*z. Let x(i) = -26*h(i) + 6*s(i). Solve x(o) = 0.
-3, 0, 1
Factor -5/2*m**2 - 15/2*m + 10.
-5*(m - 1)*(m + 4)/2
Let p(h) be the third derivative of 0 - 1/60*h**6 + 1/24*h**4 + 1/5*h**3 - 29/300*h**5 + 8*h**2 + 0*h. Factor p(s).
-(s + 3)*(2*s - 1)*(5*s + 2)/5
Let y(k) = 4*k**3 + 31 + 5*k**2 - 34 - 3*k - 3*k**3. Let t be y(-5). Suppose -15*w + 3*w**2 + t*w**3 - 5 + 3*w + 2 = 0. What is w?
-1, -1/4, 1
Let 11*y**3 - 10*y**3 - 10*y**2 - 28*y**2 + 323*y - 4*y**2 + 7*y**2 - 289 = 0. What is y?
1, 17
Let i(z) = -z**2 - 1. Let n(q) = 4*q**2 - 4*q - 2. Let u(t) = 6*i(t) + 2*n(t). Factor u(a).
2*(a - 5)*(a + 1)
Let h be (2*15/28)/(44/308). Solve 0*l + 25/2*l**4 - 5/2*l**5 - 35/2*l**3 + h*l**2 + 0 = 0 for l.
0, 1, 3
Let z(j) = 24*j**3 - 20*j**2 - 4*j + 4. Let m(w) = -w**4 - w**3 + w**2 + w - 1. Let a(r) = 4*m(r) + z(r). Factor a(f).
-4*f**2*(f - 4)*(f - 1)
Suppose 6*h = h - 425. Let g be (-10)/85 - 44/h. What is i in -6/5 - 8/5*i + 8/5*i**3 + g*i**4 + 4/5*i**2 = 0?
-3, -1, 1
Let h(i) be the first derivative of i**6/8 - 3*i**5/4 + 3*i**4/4 + 4*i**3 - 12*i**2 + 12*i - 29. Factor h(r).
3*(r - 2)**3*(r - 1)*(r + 2)/4
Let r(p) = 7*p - 9. Let q be r(2). Suppose q*o = -4*y + 2, -3*o = 4*y - 1 - 5. Factor 0*a + 0 + 2/9*a**y + 2/9*a**2.
2*a**2*(a + 1)/9
Suppose -92*v + 54 = -74*v. Factor 0 + 4/5*l**v - 16/5*l**2 + 0*l.
4*l**2*(l - 4)/5
Let a(y) = 9*y**2 + 852*y + 59679. Let d(b) = -8*b**2 - 851*b - 59673. Let z(f) = -5*a(f) - 6*d(f). Solve z(r) = 0 for r.
-141
Let z = -51 + 56. Factor 0*w - 5*w**2 + z*w**2 + w**2 - w.
w*(w - 1)
Let f(k) be the second derivative of 0*k**3 + 0*k**2 - 1/15*k**6 + 1/6*k**4 + 10*k + 1/10*k**5 + 0 - 1/21*k**7. Find r such that f(r) = 0.
-1, 0, 1
Determine b so that -1/2*b**4 - 5/2*b + 9/2*b**2 + 0 - 3/2*b**3 = 0.
-5, 0, 1
Let l be 2*(-2)/4 + (-3294)/(-15). Let o = -218 + l. Factor 9/5 + 12/5*q + o*q**2.
3*(q + 1)*(q + 3)/5
Let w(l) = 15*l**3 - 99*l**2 + 153*l - 69. Let b(s) = -7*s**3 + 49*s**2 - 77*s + 35. Let p(y) = 9*b(y) + 4*w(y). Determine c, given that p(c) = 0.
1, 13
Factor 3*c**4 + 20*c**3 - 5*c**4 + c**4 + 28*c - 100*c - 57*c**2 - 34*c**3.
-c*(c + 3)**2*(c + 8)
Suppose 3*k + 5 = 4*k. Let w(v) = -2*v**2 - v. Let u(c) = -3*c**2 - c. Let q(n) = k*w(n) - 3*u(n). Factor q(b).
-b*(b + 2)
Suppose -6*k = -5*w - k, -2*w = 2*k - 20. Factor 30*o**4 - o**5 - 9*o**3 - o**5 - 7*o**w.
-3*o**3*(o - 3)*(3*o - 1)
Let o(i) be the third derivative of i**7/1680 - i**6/480 + 7*i**4/24 + 6*i**2. Let g(j) be the second derivative of o(j). Find t, given that g(t) = 0.
0, 1
Let z(q) = -12*q**2 + 11*q. Let o(s) = -s**2 + 10*s. Let a(w) = -w. Let y(v) = -36*a(v) - 4*o(v). Let g(m) = -8*y(m) - 3*z(m). Suppose g(f) = 0. Calculate f.
0, 1/4
Let s(j) = -4*j**4 - 9*j**3 + 4*j**2 + 7*j. Suppose 2*i + 0*i = 6. Let t(r) = -r + 2*r - 49*r**i + 50*r**3. Let n(p) = s(p) + t(p). Let n(z) = 0. What is z?
-2, -1, 0, 1
Suppose -3*s = 3*k - 18, 4*k - 3*s = k + 18. Let m = -3 + k. Suppose -l - l**m + 27 + 9*l**2 + 3*l + 2*l**3 + 25*l = 0. Calculate l.
-3
Let q = 326 - 2279/7. Factor -5/7*u**5 + 0*u**2 + 0*u + q*u**4 + 0 + 2/7*u**3.
-u**3*(u - 1)*(5*u + 2)/7
Let -50*z + 20*z**2 - 7*z**3 + 0*z**3 + 14*z - 44*z**2 + 4*z**3 = 0. What is z?
-6, -2, 0
Determine d, given that 88*d**3 + 3008/5*d**2 + 4/5*d**5 + 360 - 104/5*d**4 + 852*d = 0.
-2, -1, 15
Let b(d) be the first derivative of 2/9*d**3 + 0*d + 2/3*d**2 - 2. Factor b(w).
2*w*(w + 2)/3
Let d(k) = -k**3 - 20*k**2 + 21*k + 2. Let o be d(-21). Factor -8*b**o - 39*b**3 - 4*b**4 - 43*b**3 + 70*b**3.
-4*b**2*(b + 1)*(b + 2)
Let p(s) be the second derivative of -11*s**4/16 - 21*s**3/16 + 3*s**2/16 - 2*s - 172. Factor p(m).
-3*(m + 1)*(22*m - 1)/8
Let h(z) be the second derivative of -z**6/240 - z**5/80 + z**4/96 + z**3/24 + 18*z - 1. Suppose h(i) = 0. What is i?
-2, -1, 0, 1
Let s = 454/1167 + 108/389. Suppose -1/2*n**2 + 0 - 1/6*n**3 + s*n = 0. What is n?
-4, 0, 1
Let n be -2 + ((-56)/(-5))/2. Suppose 200*i - 4 = 4*d + 198*i, 0 = -3*d - i + 12. Determine k so that 2/5*k**d - 12/5*k + n = 0.
3
Let d(x) be the third derivative of -x**6/72 - x**5/24 + x**3/6 + 8*x**2. Let c(q) be the first derivative of d(q). Factor c(s).
-5*s*(s + 1)
Let w(u) be the third derivative of u**8/10920 - u**6/1170 + u**4/156 + 3*u**3/2 + 3*u**2. Let k(r) be the first derivative of w(r). Factor k(g).
2*(g - 1)**2*(g + 1)**2/13
Let x(p) be the second derivative of -p**6/35 + 11*p**5/35 + 109*p**4/42 + 128*p**3/21 + 44*p**2/7 + 66*p - 5. Solve x(k) = 0.
-2, -1, -2/3, 11
Let y be 0/4 - (2 + -5). Suppose 4*c - 3*b = -6*b + 2, -b - 4 = -c. Factor -s**y - 2 - s**3 + c + 2*s.
-2*s*(s - 1)*(s + 1)
Let q(r) = 51*r - 3670. Let n be q(72). Solve 0 + 0*s - 2/7*s**3 + 8/7*s**n = 0 for s.
0, 4
Factor -