nd derivative of x**5/45 + 2*x**4/27 + 2*x**3/27 - 2*x - 2. Factor j(w).
4*w*(w + 1)**2/9
Let q(b) be the first derivative of -2*b**5/35 - 5*b**4/7 - 2*b**3 + 4*b**2/7 + 8*b + 90. Solve q(w) = 0.
-7, -2, 1
Let p be 2/(-7)*112/(-192). Let t(l) be the second derivative of p*l**3 + 0*l**2 + 1/20*l**5 + l + 0 - 1/6*l**4. Determine m so that t(m) = 0.
0, 1
Let m(k) be the first derivative of -3/2*k**3 + 3/10*k**5 + 20 + 0*k + 3/2*k**2 + 0*k**4. Factor m(f).
3*f*(f - 1)**2*(f + 2)/2
Let n = -71 - -76. Let m(i) be the first derivative of 1/15*i**n + 0*i**2 + 0*i**3 - 6 + 0*i + 0*i**4. What is x in m(x) = 0?
0
Suppose -3*u = -10*u. Determine n, given that 6/17*n**2 + 0*n - 2/17*n**3 + u = 0.
0, 3
Let w = 16 + -14. Let p be (-170)/(-12) - w/12. Factor 12*f**2 - 2 - 8*f - 1 - p*f**2 - 5.
-2*(f + 2)**2
Let d(c) be the first derivative of -c**4/18 - 2*c**3/3 + 7*c**2/3 - 22*c/9 + 353. Factor d(b).
-2*(b - 1)**2*(b + 11)/9
Let n(q) = 3*q**2 - 3*q + 2. Let p(g) = g**2 + g - 1. Let o(f) = -n(f) + 2*p(f). Factor o(r).
-(r - 4)*(r - 1)
Let w(f) be the second derivative of f**3/3 + 6*f**2 - 37*f. Let k be w(-2). Factor k*t**2 - 2*t - 4/3 - 14/3*t**3.
-2*(t - 1)**2*(7*t + 2)/3
Let s(v) = v**3 - 39*v**2 + 79*v - 4. Let w be s(37). Let g = -347/2 + w. Solve 3/2*m**3 + 15/2*m**2 - g*m**4 + 3*m - 9/2*m**5 + 0 = 0.
-1, -2/3, 0, 1
Suppose 4*b - 4*u - 15 = -3*u, 0 = -3*b - 3*u. Determine i so that -4*i - 7*i + 6*i - b*i**4 - 18*i**3 - 7*i - 27*i**2 = 0.
-4, -1, 0
Determine o, given that -17*o - 22*o**2 - 4*o**3 + 7*o**3 + 12 - 4 = 0.
-1, 1/3, 8
Let n(d) be the second derivative of 0 - 2/27*d**3 + 1/45*d**5 - 2/27*d**4 - 32*d + 4/9*d**2. Factor n(y).
4*(y - 2)*(y - 1)*(y + 1)/9
Let x be (-50)/500 + 8/5. Factor 0*d + 0 - 9/2*d**3 - x*d**4 + 6*d**2.
-3*d**2*(d - 1)*(d + 4)/2
Factor -1/6*a**2 - 1/6*a + 10/3.
-(a - 4)*(a + 5)/6
Suppose -47*t - 148 = -84*t. Let z(s) be the second derivative of 2/3*s**3 + 1/5*s**5 + 0*s**2 - 2/3*s**t + 0 - 7*s. Find w, given that z(w) = 0.
0, 1
Let f(j) = 3*j**3 - 331*j**2 + 106*j + 440. Let h be f(110). Factor 1/7*q**2 + h*q - 1/7.
(q - 1)*(q + 1)/7
Factor -9/4*f**2 - f + 3/4*f**4 + 0 + 5/2*f**3.
f*(f - 1)*(f + 4)*(3*f + 1)/4
Let s be (-1)/(-112)*8*4. Let 0 - s*q**3 + 0*q - 2/7*q**2 = 0. Calculate q.
-1, 0
Let k(o) = 28*o - 98. Let x be k(5). Let q be (1 + x/(-60))/((-6)/(-16)). Factor 2/15 + q*m + 6/5*m**2.
2*(3*m + 1)**2/15
Let n(i) = -16*i**2 + 65*i + 70. Let g(o) = 3*o**2 - 13*o - 14. Let h(d) = -22*g(d) - 4*n(d). Find u, given that h(u) = 0.
-1, 14
Let k = -313214/2105 + 744/5. Let b = 836/1263 + k. What is n in -b*n**3 - 2/9*n - 8/9*n**2 + 0 = 0?
-1, -1/3, 0
Suppose -14*j = 3750 - 3778. Let 14/9*f**4 - 2*f**3 + 2*f - 10/9*f**j - 4/9 = 0. What is f?
-1, 2/7, 1
Let w(g) be the second derivative of -13/14*g**4 + 1/10*g**6 - 18/7*g**3 - 12/7*g**2 - 2 - 5*g + 27/140*g**5. Determine n, given that w(n) = 0.
-2, -1, -2/7, 2
Let p(f) = 2*f**3 - f. Let i(k) = 4*k**4 - 26*k**3 + 84*k**2 - 81*k + 24. Let t(l) = i(l) - 5*p(l). Determine d so that t(d) = 0.
1, 6
Factor -172*w**3 + 168*w**4 + 5*w**5 - w**5 + 170*w**4 - 346*w**4 + 320*w**2 + 1200*w.
4*w*(w - 5)**2*(w + 2)*(w + 6)
Let x(h) = -h**5 + h**4 - 2*h**3 + 11*h**2 + 3*h - 3. Let v(j) = j**5 - 10*j**2 - 2*j + 2. Let i(u) = -3*v(u) - 2*x(u). Factor i(s).
-s**2*(s - 2)*(s + 2)**2
Suppose x = -3*q - 12 - 13, -43 = 3*x + q. Let m = x - -18. Factor 4*b**5 + 9*b**3 - 2*b**5 + 9*b**4 + b**m + 3*b**2.
3*b**2*(b + 1)**3
Factor 4 - 1090*v + 1080*v + 20 + v**2.
(v - 6)*(v - 4)
Suppose -27*s + 43 = -14*s + 4. Find g such that -3/4*g**s + 3/4*g - 1/4*g**4 + 1/2 - 1/4*g**2 = 0.
-2, -1, 1
Let p(v) = 38*v**3 - 46*v**2 - 46*v - 8. Let y(g) = g**3 + g**2 - g. Let h(c) = c**2 + 1. Let t be h(0). Let q(i) = t*p(i) - 2*y(i). Factor q(a).
4*(a - 2)*(3*a + 1)**2
Suppose 24*i**2 + 6*i**3 - 22*i**3 - 225*i**4 + 20*i + 201*i**4 - 4*i**5 = 0. What is i?
-5, -1, 0, 1
Factor 0*h - 5/2*h**3 + 1/2*h**5 + 0 - 2*h**4 + 0*h**2.
h**3*(h - 5)*(h + 1)/2
Let a(b) be the second derivative of 0 + 6/5*b**5 + 24*b**2 + 31*b - 4*b**3 - 1/10*b**6 - 15/4*b**4. Let a(u) = 0. What is u?
-1, 1, 4
Let f(s) be the second derivative of s**7/350 + s**6/40 + 2*s**5/25 + s**4/10 - 11*s**2/2 + s. Let r(c) be the first derivative of f(c). Factor r(i).
3*i*(i + 1)*(i + 2)**2/5
Let q(r) = -6*r**2 - 14*r + 52. Let h be q(2). Factor h*d - 4/3*d**2 + 0.
-4*d**2/3
Let z be (-2)/(-4)*(1064/95)/7. Factor z*t**2 - 4/5*t**3 - 2/5 + 2/5*t**5 - 2/5*t**4 + 2/5*t.
2*(t - 1)**3*(t + 1)**2/5
Let n = -1901 + 1903. Let i(b) be the third derivative of 0*b - 12*b**n + 50/3*b**3 + 1/15*b**5 + 0 - 5/3*b**4. Factor i(m).
4*(m - 5)**2
Let m(w) = 22*w**2 + 570*w + 569. Let o(r) = -7*r**2 - 190*r - 189. Let a(i) = -2*m(i) - 7*o(i). Factor a(n).
5*(n + 1)*(n + 37)
Factor -2*v**2 + 23 + 6*v**2 - 38*v + 21 - 4*v - 6*v.
4*(v - 11)*(v - 1)
Let q be 24/(-16)*56/15 + 6. Factor q*y + 1/5*y**2 + 1/5.
(y + 1)**2/5
Let g(v) = 20*v - 97. Let b be g(5). Let u(z) be the first derivative of -16/27*z**b + 6 - z + 4/3*z**2. Find x, given that u(x) = 0.
3/4
Let l(j) = 3*j**2 - 248*j + 3125. Let f(s) = 80*s**2 - 6695*s + 84375. Let r(c) = -2*f(c) + 55*l(c). Solve r(p) = 0.
25
Find w such that -1/2*w**2 - 3/2*w + 2 = 0.
-4, 1
Let a = 1449627/50510 + 1/5051. Let g = -57/2 + a. Suppose g*u - 2/5*u**2 + 1/5*u**3 + 0 = 0. What is u?
0, 1
Let t(q) be the second derivative of q**6/195 + 3*q**5/130 - q**4/26 - 11*q**3/39 - 6*q**2/13 - 48*q. Suppose t(o) = 0. What is o?
-3, -1, 2
Let t(z) be the first derivative of -5*z**6/36 + 5*z**4/24 - 136. Suppose t(w) = 0. Calculate w.
-1, 0, 1
Let i(h) be the first derivative of h**4/8 - 31*h**3/6 + 36*h**2 + 810*h - 92. Factor i(t).
(t - 18)**2*(t + 5)/2
Let h(u) = 113*u + 4981. Let i be h(-44). Factor 1/2*g**5 + i*g**4 + 0*g + 54*g**3 + 0 + 108*g**2.
g**2*(g + 6)**3/2
Let w = 153/140 - 8/7. Let g = w + 11/20. Determine j so that g*j**3 + 0 + 0*j**2 - 1/2*j = 0.
-1, 0, 1
Let q(o) be the third derivative of -o**8/84 + 16*o**7/105 - 2*o**6/3 + 16*o**5/15 + 214*o**2. Factor q(f).
-4*f**2*(f - 4)*(f - 2)**2
Let y(f) be the second derivative of 1/2*f**3 + 30*f + 1/14*f**7 + 0*f**6 + 0*f**2 - 3/10*f**5 + 0*f**4 + 0. Let y(b) = 0. Calculate b.
-1, 0, 1
Factor -7/2*f + 1/2*f**3 + 0*f**2 - 3.
(f - 3)*(f + 1)*(f + 2)/2
Suppose -s = 3*v - 28, -35 = -3*v - 5*s + 9. Let y = 10 - v. Solve -q**3 - 3*q**3 - 4*q**2 + q**2 - 5*q**y = 0.
-2, 0
Let j(v) be the third derivative of v**9/3780 - v**8/2800 - v**7/1575 - 11*v**4/24 - 7*v**2. Let k(p) be the second derivative of j(p). Factor k(f).
4*f**2*(f - 1)*(5*f + 2)/5
Let c(k) be the first derivative of -5 - k**3 + 1/20*k**5 + 0*k + k**2 + 1/8*k**4. Let g(q) be the second derivative of c(q). Let g(p) = 0. What is p?
-2, 1
Let d(n) be the first derivative of -n**4/10 + 14*n**3/3 + n**2/5 - 14*n - 271. Factor d(z).
-2*(z - 35)*(z - 1)*(z + 1)/5
Let m(x) be the second derivative of -x**6/240 + x**5/60 - x**4/48 + 3*x**2 + 6*x. Let y(q) be the first derivative of m(q). Factor y(t).
-t*(t - 1)**2/2
Let k be -8*6/48*-4. Let y(v) be the third derivative of 1/3*v**3 - 2*v**k + 32/5*v**5 + 0 + 7*v**2 + 0*v - 128/15*v**6. Factor y(m).
-2*(8*m - 1)**3
Let i(g) = g**2 + 4*g - 2. Let k(o) = 7*o**2 - 21*o + 114. Let c(f) = -6*i(f) + k(f). Factor c(x).
(x - 42)*(x - 3)
Let t(p) be the second derivative of 49*p**5/20 - 707*p**4/12 - 208*p**3/3 - 30*p**2 + 233*p. Factor t(m).
(m - 15)*(7*m + 2)**2
Let m(s) be the third derivative of 1/12*s**5 + 0*s - 20/3*s**3 + 0 + 15*s**2 + 35/24*s**4. Let m(x) = 0. What is x?
-8, 1
Let m(a) be the second derivative of a**9/3780 - a**7/630 + 17*a**4/12 - 22*a. Let z(k) be the third derivative of m(k). Solve z(u) = 0.
-1, 0, 1
Let g(x) be the first derivative of -2/39*x**3 + 12/13*x - 5/13*x**2 + 29. Determine m, given that g(m) = 0.
-6, 1
Let d(h) be the second derivative of h**4/24 + 2*h**3/3 - 5*h**2 + h + 41. Factor d(u).
(u - 2)*(u + 10)/2
Suppose -25*b - 639 + 739 = 0. Factor -10 + b*x - 2/5*x**2.
-2*(x - 5)**2/5
Suppose 10*m - 13*m - 6 = w, -4*m - 8 = 0. Find n, given that 0 + 2*n - 5/2*n**3 + 0*n**2 + w*n**4 + 1/2*n**5 = 0.
-2, -1, 0, 1, 2
Let b(h) be the third derivative of h**10/30240 - h**9/4032 - h**8/1008 + h**5/5 + 24*h**2. Let z(n) be the third derivative of b(n). Factor z(f).
5*f**2*(f - 4)*(f