+ 0 - 2/7*w**3.
-2*w*(w - 35)*(w - 1)/7
Let c(h) be the first derivative of 16*h**4 - 16*h - 224/3*h**3 - 62*h**2 + 18. Determine g so that c(g) = 0.
-1/4, 4
Let k(f) = -10*f + 4. Let d be k(-4). Let h = -42 + d. Find s, given that -6/5 + 3/5*s**3 - 3/5*s + 6/5*s**h = 0.
-2, -1, 1
Let h = -2447/5 + 493. Let z = -2559 + 2569. Factor -h - 8/5*c**3 - 84/5*c - z*c**2.
-2*(c + 3)**2*(4*c + 1)/5
Let l(f) be the second derivative of -6/7*f**4 + 0 + 1/5*f**5 - 16/7*f**2 - 2/105*f**6 + 40/21*f**3 - f. Factor l(z).
-4*(z - 2)**3*(z - 1)/7
Let f(l) = -5*l**2 - 9*l - 2. Let a be (2/2)/1 + 4. Let n(v) = -3*v**2 - 6*v - 1. Let z(y) = a*f(y) - 8*n(y). Factor z(w).
-(w - 2)*(w - 1)
Let n be (-5 - 188/(-36)) + 0. Let i = -10 - -12. Determine p, given that 0*p + n - 2/9*p**i = 0.
-1, 1
Factor -65*a + 9*a**2 + 209 - 422 + 163 + 6*a**2.
5*(a - 5)*(3*a + 2)
Let a(p) = -275*p**3 - 25*p**2 + 200*p - 40. Let n(r) = 138*r**3 + 12*r**2 - 100*r + 20. Let v(i) = -3*a(i) - 5*n(i). Find q such that v(q) = 0.
-1, 2/9, 2/3
Factor -1231*m**3 + 5 - 228 + 65*m + 13 + 1226*m**3 + 30*m**2.
-5*(m - 7)*(m - 2)*(m + 3)
Let w(i) be the third derivative of 7*i**6/480 + i**5/8 - 9*i**4/32 - 5*i**3/12 + 136*i**2. Let w(z) = 0. Calculate z.
-5, -2/7, 1
Let l(w) be the second derivative of 0 + 13/72*w**4 + 1/60*w**5 + 9*w + 2/3*w**2 - 23/36*w**3. Factor l(i).
(i - 1)*(i + 8)*(2*i - 1)/6
Let s(l) = -2*l**2 - 109*l + 118. Let g be s(-46). What is h in 2250*h**2 + 3125/3*h**4 - 2500*h**3 + 135 - g*h = 0?
3/5
Let j(n) be the third derivative of -n**10/37800 + n**9/5040 - n**8/2520 + n**5/4 - 3*n**2. Let a(u) be the third derivative of j(u). Factor a(d).
-4*d**2*(d - 2)*(d - 1)
Let m(q) be the second derivative of q**6/105 - 3*q**5/70 - 4*q**4/21 + 4*q**3/7 + 16*q**2/7 - 2*q - 1. Let m(s) = 0. What is s?
-2, -1, 2, 4
Let p(v) be the first derivative of -3 + 0*v**2 + 0*v - 1/12*v**4 - 1/30*v**5 + 0*v**3 + 1/12*v**6. Factor p(h).
h**3*(h - 1)*(3*h + 2)/6
Let o(d) be the second derivative of d**6/135 + d**5/9 + 7*d**4/18 - 4*d**3/27 - 28*d**2/9 + d - 52. Factor o(i).
2*(i - 1)*(i + 2)**2*(i + 7)/9
Suppose -5*v = -8*v. Let x = v - -4. Factor -16*y**4 + 41*y**3 - 41*y**4 + 12*y**2 + 21*y**5 - 6*y + x*y**3 - 15*y**2.
3*y*(y - 1)**3*(7*y + 2)
Let p(m) = m**3 + m**2 - 2. Let v(l) = 4*l**3 + 9*l**2 - 25*l - 28. Let q(h) = -p(h) - v(h). Factor q(f).
-5*(f - 2)*(f + 1)*(f + 3)
Let d(j) be the first derivative of j**9/108 - j**8/210 + 4*j**3 - 12. Let r(t) be the third derivative of d(t). Let r(c) = 0. Calculate c.
0, 2/7
Let p(k) be the second derivative of -k**6/80 - 7*k**5/160 + k**4/48 + k**3/6 + 115*k. Factor p(i).
-i*(i - 1)*(i + 2)*(3*i + 4)/8
Suppose 5*d + 2*n - 25 = 0, -5*d + n - 5 = -30. Let x(h) be the third derivative of 1/12*h**3 + 1/240*h**d - 1/32*h**4 + 0 + 0*h - 2*h**2. Factor x(l).
(l - 2)*(l - 1)/4
Let g(s) = -6*s**4 - 16*s**3 - 2*s**2 - 30*s + 2. Let i(m) = -m**4 - 2*m**3 + m**2 - m + 1. Let q(j) = g(j) - 10*i(j). Factor q(h).
4*(h - 2)*(h + 1)**3
Let d = -25 - -30. Let -4*x**4 + d*x**5 + x**4 - 4*x**2 - 12*x**4 + 24*x**2 = 0. What is x?
-1, 0, 2
Let m(z) be the second derivative of 14*z + 1/6*z**4 + 1/3*z**3 + 0 - 2*z**2. Factor m(l).
2*(l - 1)*(l + 2)
Suppose -7*d - 4*d - 44 = 0. Let c be 3/(-4) - (d + 6)/(-2). Factor 1/2*o**3 + c*o**4 - 1/4*o**2 - 1/2*o + 0.
o*(o - 1)*(o + 1)*(o + 2)/4
Let i(w) = 6*w**4 - 16*w**3 - 10*w**2 + 16*w. Let n(j) = j**4 - 2*j**2. Let r(q) = i(q) - 4*n(q). Factor r(d).
2*d*(d - 8)*(d - 1)*(d + 1)
Let y be 3135/(-345) + 9 + (165/46 - 2). Let -3/2 + y*m**2 + 0*m = 0. What is m?
-1, 1
Let d(l) = -8*l**2 + 2*l - 12. Let a(s) = -10 + 11 + s**2 + 0*s**2 + s. Let b(r) = 6*a(r) + d(r). Let b(z) = 0. What is z?
1, 3
Let j(l) = 8*l**3 - 4*l**2 - 2*l + 113. Let r(c) = -7*c**3 + 5*c**2 + 3*c - 111. Let y(x) = -6*j(x) - 7*r(x). Determine v so that y(v) = 0.
-3, 3, 11
Let k(y) be the third derivative of -3*y + 0*y**3 - 3*y**2 + 0 - 5/12*y**5 + 5/8*y**4 - 1/126*y**7 + 7/72*y**6. Solve k(i) = 0 for i.
0, 1, 3
Suppose -4*v + 2 + 8 = -h, h = -4*v + 6. Let x be 285/114*3*v/5. Factor 2/3*c**2 + c**x + 0 + 1/3*c**4 + 0*c.
c**2*(c + 1)*(c + 2)/3
Determine y, given that -25*y**3 + 32 + 42*y**2 + 9*y + 48*y**2 - 53*y - 35*y - 17*y = 0.
4/5, 2
Let f(c) be the second derivative of -2 - 8/3*c**3 - 5/6*c**4 + 27*c - 1/10*c**5 - 4*c**2. Solve f(q) = 0.
-2, -1
Suppose 4*q - 6 = y + 12, q = 4*y - 3. Factor -2*n + 5*n**4 + 4*n - 4*n**4 + 373*n**3 + 5*n**y - 369*n**3.
n*(n + 1)**2*(n + 2)
Factor -136/3*p + 134/3 + 2/3*p**2.
2*(p - 67)*(p - 1)/3
Let p(h) be the third derivative of -14*h**2 + 0*h**3 + 0 + 1/120*h**7 - 1/96*h**6 + 1/240*h**5 + 0*h**4 - 1/448*h**8 + 0*h. Solve p(q) = 0.
0, 1/3, 1
Let d(r) = 20*r**2 + 70*r - 25. Let p(a) = a**2 - 4. Let o(m) = -d(m) + 25*p(m). Factor o(b).
5*(b - 15)*(b + 1)
Let z(b) be the second derivative of -b**5/100 - b**4/60 + b**3/15 + 210*b. Find h such that z(h) = 0.
-2, 0, 1
Let s be 0/(-1) + (245 - (-4 - -13)). Let n = 236 - s. Find u such that 1/5*u**2 + 1/5*u**3 + 0*u + n = 0.
-1, 0
Let s be (-6 - 784/(-132))*-11. Solve 8/3 + 16/3*w - s*w**4 - 4/3*w**3 + 2*w**2 = 0 for w.
-2, -1, 2
Let c be (-82)/(-7) - (-2)/7. Let n be -3*8/c - -2. Suppose 0*r + 2*r**2 - 4 - 2*r + n*r**2 = 0. Calculate r.
-1, 2
Let r(a) be the third derivative of -a**5/36 + 175*a**4/36 - 6125*a**3/18 + 25*a**2. Factor r(k).
-5*(k - 35)**2/3
Let c(b) be the third derivative of -b**7/840 - b**6/480 + 17*b**5/240 + 7*b**4/32 - 3*b**3/2 - 3*b**2. Let c(n) = 0. What is n?
-3, 1, 4
Let o(q) = -q**3 - 12*q**2 - 7*q + 1. Let j(h) = h**3 + 3*h + 1. Let t(d) = -2*j(d) + 2*o(d). Factor t(m).
-4*m*(m + 1)*(m + 5)
Suppose 0 = -4*i - 3*h + 16, 5*h - 15 = 4*i + i. Let k be (-1)/i + (-153)/(-117). Find v, given that 6/13*v**2 - k - 2/13*v**4 + 2/13*v**3 - 2/13*v = 0.
-1, 1, 2
Let t(f) be the first derivative of f**6/6 - 27*f**5/5 + 49*f**4/2 - 142*f**3/3 + 93*f**2/2 - 23*f - 538. What is g in t(g) = 0?
1, 23
Let i(w) be the first derivative of -2*w**3/3 + 6*w**2 + 54*w - 538. Factor i(u).
-2*(u - 9)*(u + 3)
Solve 76*w**4 - 26*w**2 - 45*w**4 - 33*w**4 - 12*w**3 - 24*w - 8 = 0.
-2, -1
Let v be 42/70 - 864/(-10). Let n = v + -83. Factor 0*f - 2/9*f**n - 2/3*f**3 + 0 + 0*f**2.
-2*f**3*(f + 3)/9
Let c(q) be the third derivative of 13*q**5/90 + 29*q**4/72 + q**3/6 - 80*q**2. Factor c(t).
(t + 1)*(26*t + 3)/3
Let j(d) = 4*d - 72. Let m be j(19). Let x(z) be the first derivative of 1/4*z**2 - 1/10*z**5 - 4 + 0*z - 1/2*z**3 + 3/8*z**m. Factor x(k).
-k*(k - 1)**3/2
Let m(r) be the first derivative of 0*r - 8/3*r**3 - 5/4*r**4 - 1/5*r**5 - 2*r**2 - 32. Factor m(f).
-f*(f + 1)*(f + 2)**2
Suppose -5*j - 19*u + 18*u + 2 = 0, 0 = j - 5*u + 10. Determine c so that 2/11*c**5 + 8/11*c**2 + 8/11*c + j - 6/11*c**3 - 4/11*c**4 = 0.
-1, 0, 2
Let h = -208 + 835/4. Let l(o) be the first derivative of 6*o - h*o**4 - 15/2*o**2 - 2 + 4*o**3. Let l(z) = 0. What is z?
1, 2
Suppose -28 = -3*n - 4*h + 2*h, 16 = -4*h. Factor 6*x + n*x**3 + 4*x**3 - 10*x + 12*x**2.
4*x*(x + 1)*(4*x - 1)
Let s be 14904/14490 - 3/7. Factor 0 + 6/5*l**2 + 0*l**4 - s*l**5 + 0*l + 9/5*l**3.
-3*l**2*(l - 2)*(l + 1)**2/5
Let h(y) be the first derivative of -13 - 10*y + 0*y**3 + 0*y**2 - 1/72*y**4. Let s(p) be the first derivative of h(p). Factor s(g).
-g**2/6
Suppose 4*f - 6*f = -5*a + 2, 4*a + 2 = -2*f. Factor a - 2/19*d**2 + 0*d.
-2*d**2/19
Let t be ((-140)/(-25))/(7/35). Suppose 4*j + t = 36. Suppose 4*n + 4/3 - 16/3*n**j = 0. What is n?
-1/4, 1
Let h(p) be the third derivative of p**7/840 - 61*p**6/480 + 399*p**5/80 - 2205*p**4/32 - 3087*p**3/4 - 271*p**2 + 2. Factor h(k).
(k - 21)**3*(k + 2)/4
Let r be 6 - (6/(-4))/((-9)/12). Let c(y) be the second derivative of 0 - 3/2*y**3 + 1/4*y**r + 4*y + 3*y**2. Factor c(a).
3*(a - 2)*(a - 1)
Let g(h) be the first derivative of 4*h**3/27 + 32*h**2/9 + 112*h/9 + 10. Find d such that g(d) = 0.
-14, -2
Factor 24 - 1/3*u**4 + 23*u**3 + 71*u**2 + 215/3*u.
-(u - 72)*(u + 1)**3/3
Let g be 2/6 + (-58)/180. Let x(m) be the second derivative of 0 - 3*m + 1/27*m**4 - 1/27*m**3 + 0*m**2 - g*m**5. Factor x(u).
-2*u*(u - 1)**2/9
Factor -4*b**4 - 45*b**2 - 1 + 19*b**4 - 10*b**4 + 1 - 40*b**3.
5*b**2*(b - 9)*(b + 1)
Let i = 1752 + -1032. Factor 4*n**4 + 472*n**2 - i*n + 324 - 18*n**3 - 47*n**3 - 15*n**3.
4*(n - 9)**2*(