derivative of c**7/210 - 4*c**6/75 + 4*c**5/25 - 97*c. Factor a(x).
x**3*(x - 4)**2/5
Let v(w) = 9*w**3 - 6*w**2 - 5. Let n(q) = -q**3 + q**2 + 1. Let a(t) = 6*n(t) + v(t). Let l be a(1). Factor -3 - 2*r**l + 0*r**4 + 2*r**3 + 6*r**2 - 10*r + 7.
-2*(r - 1)**3*(r + 2)
Factor 0 - 21/2*b**2 + 3/2*b**4 + 6*b**3 - 15*b.
3*b*(b - 2)*(b + 1)*(b + 5)/2
Let x = 238 - 235. Let t(a) be the second derivative of 1/3*a**4 + 0 + 0*a**x - 6*a + 0*a**2 - 1/10*a**5. Factor t(k).
-2*k**2*(k - 2)
Let c(s) = -11*s**3 - 243*s**2 - 880*s + 320. Let p(q) = 120*q**3 + 2675*q**2 + 9680*q - 3520. Let a(n) = 45*c(n) + 4*p(n). Factor a(z).
-5*(z + 8)**2*(3*z - 1)
Let i be 10876/(-96)*-2 + (-1)/(-6). Let x = i - 225. Factor x*q**2 - 1/2*q - 3/2*q**3 + 0.
-q*(2*q - 1)*(3*q - 2)/4
Let q(x) be the first derivative of 0*x + 1/3*x**3 + 1/12*x**4 + 0*x**2 + 3 - 1/15*x**5 + 1/60*x**6. Let w(g) be the third derivative of q(g). Factor w(f).
2*(f - 1)*(3*f - 1)
Suppose u = 3*k, 2*k - k = 2*u. Let h(d) be the second derivative of 0*d**3 - d + 1/26*d**4 - 1/130*d**5 + u*d**2 + 0. Factor h(a).
-2*a**2*(a - 3)/13
Let w be -6*(-2)/(-4)*-1. Suppose 3*x + 5*k - 134 = 0, -8 = w*k + k. Determine h so that -7*h**2 + x*h + 32 + 8*h**2 + 4*h**3 + 23*h**2 = 0.
-2
Let i(z) be the third derivative of 0*z + 3*z**2 - 1/16*z**4 - 1/120*z**5 + 0 + 0*z**3. What is l in i(l) = 0?
-3, 0
Suppose -3*i - 6 = 5*f + i, f - i - 6 = 0. Factor 3*h**2 - 7*h**4 - 5*h**3 + 2*h**2 + f*h**4 + 5*h.
-5*h*(h - 1)*(h + 1)**2
Let y be (((-21)/14)/(12/68) + 8)/(-2). Factor 0*f + y*f**4 + 0*f**3 + 0 - 1/4*f**2.
f**2*(f - 1)*(f + 1)/4
Let c(k) be the first derivative of 1/3*k**2 - 4 + 8/27*k**3 - 4/45*k**5 + 1/9*k**6 - 4/9*k - 1/3*k**4. Suppose c(a) = 0. Calculate a.
-1, 2/3, 1
Let r(g) be the first derivative of g**6/63 - 62*g**5/105 + 95*g**4/21 + 1532*g**3/63 + 119*g**2/3 + 578*g/21 - 218. Factor r(b).
2*(b - 17)**2*(b + 1)**3/21
Let j(b) = 10*b**3 + 96*b**2 - 271*b. Let g(x) = -2*x**3 - 24*x**2 + 68*x. Let s(o) = -18*g(o) - 4*j(o). Suppose s(h) = 0. Calculate h.
0, 5, 7
Suppose -2*r + 9*p - 10*p = -11, -5*r = -3*p. Factor -8 - 1/2*z**4 + 16*z + 4*z**r - 12*z**2.
-(z - 2)**4/2
Let b(i) be the first derivative of -2*i**3/15 + 14*i**2 + 142*i/5 - 138. Factor b(j).
-2*(j - 71)*(j + 1)/5
Let s(l) be the second derivative of -l**4/18 - l**3/9 + 20*l**2/3 + 329*l. Factor s(t).
-2*(t - 4)*(t + 5)/3
Let z = -17170/13 + 17178/13. Suppose -18/13*g - z - 4/13*g**2 = 0. Calculate g.
-4, -1/2
Let w(y) be the first derivative of -28*y**3/15 + 66*y**2/5 + 8*y + 393. Find d, given that w(d) = 0.
-2/7, 5
Let p be ((-2)/(-5)*((1 - -1) + -7))/(-10). Solve -p*b**2 - 3/5 + 4/5*b = 0 for b.
1, 3
Let i = 1084 + -1080. Let m(r) be the first derivative of -28/5*r**5 + 8 + 16*r + 28*r**3 + 2*r**i - 40*r**2. Let m(v) = 0. Calculate v.
-2, 2/7, 1
Suppose 2/23*g**2 - 2/23*g**4 + 4/23*g - 6/23*g**3 + 2/23*g**5 + 0 = 0. Calculate g.
-1, 0, 1, 2
Suppose -27 = -5*u - 2, -2*q - 5*u = -95. Find b, given that 16*b - q*b**2 + 2*b**3 + 0 + 1 - 9 + 25*b**2 = 0.
1, 2
Factor -1/2*v**2 - 6*v + 14.
-(v - 2)*(v + 14)/2
Let q(m) = -512*m**2 + 81*m - 11. Let j(z) = 258*z**2 - 40*z + 6. Let p(a) = -7*j(a) - 4*q(a). Factor p(x).
2*(11*x - 1)**2
Let h(b) be the first derivative of -5/7*b - 14 + 1/28*b**4 - 9/14*b**2 - 1/7*b**3. Determine i so that h(i) = 0.
-1, 5
Let v(j) be the third derivative of -10*j**2 + 1/105*j**7 - 1/30*j**6 + 0*j**3 + 1/30*j**5 + 0*j**4 + 0 + 0*j. Factor v(b).
2*b**2*(b - 1)**2
Let h = 26 + -31. Let u(z) = -2*z - 6. Let x be u(h). Let -2*k**4 + 4*k**4 + 0*k**4 - 3*k**x = 0. Calculate k.
0
Let m be 18/(-42) + 933/21. Let c(w) = 14*w**4 + 6*w**3 + 2*w**2 - 11*w. Let a(d) = d**4 + d**3 - d. Let v(l) = m*a(l) - 4*c(l). Let v(p) = 0. What is p?
0, 2/3, 1
Let l(m) be the third derivative of m**5/160 + m**4/64 - m**3/8 + 33*m**2 + 1. Suppose l(g) = 0. Calculate g.
-2, 1
Let c(p) be the first derivative of 2/19*p**2 - 3 + 6/95*p**5 - 1/57*p**6 - 2/19*p**3 + 0*p - 1/38*p**4. Let c(f) = 0. Calculate f.
-1, 0, 1, 2
Let d(g) be the second derivative of -g**4/36 + g**2/6 + 51*g. Factor d(w).
-(w - 1)*(w + 1)/3
Determine w, given that -43*w**4 - 9*w**2 + 46*w**4 + 3*w**3 - 9*w**3 = 0.
-1, 0, 3
Let h = 28590 - 28590. Solve h*b**2 + 1/6*b**3 + 0 - 2/3*b = 0.
-2, 0, 2
Let y(p) = -6*p - 38. Let o be y(-8). Let -11*a**5 - 5*a**2 + a**2 - 3*a**3 + 4*a + 4*a**4 + o*a**5 = 0. Calculate a.
-1, 0, 1, 2
Suppose -w + 4*u + 20 = -u, -80 = -5*w + 5*u. Factor 4*v**2 - 8*v - v**2 + 1 + w - 2*v**2.
(v - 4)**2
Let z(w) be the second derivative of -w**4/12 - 5*w**3/18 + 4*w**2/3 + 75*w. Factor z(l).
-(l - 1)*(3*l + 8)/3
Let m(f) be the third derivative of f**7/630 + f**6/216 + f**5/360 - 7*f**3/6 + 9*f**2. Let r(q) be the first derivative of m(q). Factor r(z).
z*(z + 1)*(4*z + 1)/3
Let m(g) = -3*g**2 + g - 1. Let c be m(4). Let z be ((-12)/(-5))/(3/c - -1). Factor z*q + 27/7 + 3/7*q**2.
3*(q + 3)**2/7
Let d(q) be the first derivative of -2*q**3/21 + 9*q**2/7 - 16*q/7 - 273. Suppose d(g) = 0. What is g?
1, 8
Factor 4/7*v + 32/7*v**3 + 0 + 2*v**4 + 22/7*v**2.
2*v*(v + 1)**2*(7*v + 2)/7
Let l(x) be the second derivative of -x**7/1050 - x**6/300 + x**5/300 + x**4/60 + x**2/2 - 6*x. Let w(y) be the first derivative of l(y). Factor w(h).
-h*(h - 1)*(h + 1)*(h + 2)/5
Let o(c) be the first derivative of -c**6/63 - 4*c**5/105 - c**4/42 - 34. Factor o(t).
-2*t**3*(t + 1)**2/21
Let z(o) = -o**3 + 3*o**2 + 10*o + 4. Let n be z(5). Factor -n + 73*y - 2*y**2 + 2 - 77*y.
-2*(y + 1)**2
Let s(u) be the first derivative of -2/5*u - 2/5*u**3 + 12 + 1/10*u**4 + 3/5*u**2. Suppose s(i) = 0. What is i?
1
Suppose -d + 0 + 2 = 0. Let w be 8/((-40)/15)*-1. Factor -16*u - 5*u**2 + 22*u + d - w.
-(u - 1)*(5*u - 1)
Factor -32/7*c - 18/7*c**2 + 8/7.
-2*(c + 2)*(9*c - 2)/7
Suppose -5*t + 10 = 2*k - 7, t - 1 = 2*k. Suppose -10 - 56*s + 8*s**3 + 71*s - 13*s**t = 0. Calculate s.
-2, 1
Let o(y) be the first derivative of 2 - 1/2*y**4 - 4/3*y**3 + 0*y - y**2. Factor o(a).
-2*a*(a + 1)**2
Let m(u) be the third derivative of -u**8/84 - 2*u**7/15 + u**6/15 + 14*u**5/15 - u**4/6 - 14*u**3/3 + 72*u**2. Solve m(l) = 0 for l.
-7, -1, 1
Suppose -5*u = 0, 0*v - 3*v = -u + 12. Let h(p) = -5*p**2 - 3*p - 1. Let q(m) = -4*m**2 - 4*m - 2. Let c(f) = v*h(f) + 6*q(f). What is t in c(t) = 0?
-2, -1
Suppose 405*x - 410*x = 0. Let m(p) be the first derivative of -1 - 3/4*p**4 + x*p + p**3 + 0*p**2. Factor m(v).
-3*v**2*(v - 1)
Let u(j) be the third derivative of j**8/672 - j**7/42 - j**6/80 + 7*j**5/6 + 49*j**4/12 + 215*j**2 + j. Factor u(i).
i*(i - 7)**2*(i + 2)**2/2
Let l(m) = m. Let f(c) = -c**4 + 10*c**3 - 36*c**2 + 59*c - 27. Suppose -2*y - 40 = -7*y. Let x be -4 - 2*(-28)/y. Let h(w) = x*f(w) - 15*l(w). Factor h(n).
-3*(n - 3)**3*(n - 1)
Suppose 5*s = w - 20, 4*s = s. Let v = -17 + w. Solve -o**3 + 5*o**2 + 10*o**2 - 9*o - 27 - 2*o**v = 0.
-1, 3
Let r = -2458 + 2458. Factor -4/7*w**4 + 4/7*w**2 + 0*w**3 - 2/7*w + r + 2/7*w**5.
2*w*(w - 1)**3*(w + 1)/7
Let o = 2713/8157 + 2/2719. Factor 0*j - o*j**2 - 1/3*j**3 + 0.
-j**2*(j + 1)/3
Let z(k) be the second derivative of 7*k**5/5 + 61*k**4/3 - 12*k**3 - 2*k - 66. Suppose z(u) = 0. Calculate u.
-9, 0, 2/7
Let u(j) be the first derivative of 2*j**3/15 - 26*j**2/5 + 42*j + 104. Factor u(y).
2*(y - 21)*(y - 5)/5
Let c(u) be the first derivative of 2/15*u**3 - 12/5*u - 9 + u**2. Factor c(y).
2*(y - 1)*(y + 6)/5
Factor 8*l**2 - 8*l**2 + l**5 - 4*l**4 - 8*l**2 - 3*l + 2*l**3 + 12*l**2.
l*(l - 3)*(l - 1)**2*(l + 1)
Suppose -3*a + 4 - 2 = -w, -55 = -5*w + 2*a. Suppose -5*k = -w - 7. Find g, given that 4*g + k*g + 135*g**2 - 107*g**2 = 0.
-2/7, 0
Factor -6/5*p**2 - 64/15*p + 32/15.
-2*(p + 4)*(9*p - 4)/15
Let u be (-14)/(-196) - (-1 + (-2)/(-4)). Let s be (4 - (-28)/21)/((-14)/(-6)). Determine q, given that 0 - 16/7*q - u*q**3 + s*q**2 = 0.
0, 2
Let x(a) be the first derivative of -a**5/50 + 4*a**3/15 + 9*a + 13. Let l(y) be the first derivative of x(y). Determine k so that l(k) = 0.
-2, 0, 2
Let m = 7 + -2. Determine t so that 29*t**3 - 24*t**3 + 15*t**2 - 5*t**2 + m*t = 0.
-1, 0
Let t = 47 - 93. Let a be (2/(-4))/(-6 - t/8). Factor -1/5*q**a + 4/5*q - 3/5.
-(q - 3)*(q - 1)/5
Let s(r) be the third derivative of 7*r**8/4 - 172*r**7/15 - 1507*r**6/30 - 994*r**5/15 - 130*r**4/3 - 16*r**