/7. Factor -4/7*s - 1/7*s**2 - i.
-(s + 1)*(s + 3)/7
Let f(x) be the first derivative of -4/3*x**3 - 86 + 64*x + 8*x**2 - 1/4*x**4. Factor f(i).
-(i - 4)*(i + 4)**2
Let z(q) be the first derivative of 5*q**6/6 - 17*q**5 - 105*q**4/4 + 245*q**3/3 + 220*q**2 + 180*q + 2719. Factor z(u).
5*(u - 18)*(u - 2)*(u + 1)**3
Let s(k) = k**3 + 6*k**2 - 10*k - 3. Let t be s(-4). Suppose 63*o = t*o. Factor o*a + 0 - 1/6*a**3 + 1/6*a**2.
-a**2*(a - 1)/6
Let v be 88/28*(6 - -1). Let h = 142 - v. Factor 48*r + 36*r**4 + 36 + 84*r - 7*r**5 + 11*r**5 + 100*r**2 + 84*r**2 + h*r**3.
4*(r + 1)**3*(r + 3)**2
Suppose 0 = 4*t + 5*a + 12, 4*a + 32 = -t + 18. Let x(p) be the third derivative of -p**4 - 1/60*p**6 + 0 + 13/60*p**5 + 0*p - 12*p**t + 3/2*p**3. Factor x(y).
-(y - 3)**2*(2*y - 1)
Suppose 37 = -5*p + 17. Let o be -6*(p/(-8))/(-1). Factor -4*c**3 - 16 + 113*c**2 - 125*c**2 - 24*c + 2*c**o.
-2*(c + 2)**3
Let m be (-2)/(-4)*((-28)/(-9) - (5 + -2)). Let x(j) be the third derivative of m*j**5 + 1/45*j**6 - 1/6*j**4 + 5*j**2 + 0*j + 0*j**3 + 0. Factor x(b).
2*b*(b + 2)*(4*b - 3)/3
Let v(g) = g**5 - 125*g**4 - 554*g**3 - 842*g**2 - 579*g - 149. Let d(k) = -k**5 - k**3 + 2*k**2 - k - 1. Let p(m) = -4*d(m) + v(m). Factor p(l).
5*(l - 29)*(l + 1)**4
Let j(w) = -3*w**3 - 143*w**2 - 494*w - 461. Let x(m) = 2*m**3 + 96*m**2 + 330*m + 307. Let u(p) = 5*j(p) + 7*x(p). What is c in u(c) = 0?
-39, -2
Let i(r) be the second derivative of -r**9/3024 + r**7/252 - r**5/24 - 55*r**4/6 + 49*r. Let p(m) be the third derivative of i(m). Factor p(w).
-5*(w - 1)**2*(w + 1)**2
Let d(k) be the second derivative of 3*k**5/100 + 7*k**4/10 + 7*k**3/10 - 117*k**2/5 - 402*k. Solve d(p) = 0 for p.
-13, -3, 2
Let l be ((-4)/(-8))/((-78)/36) + -2 + 5. Factor 2/13*y**2 + l + 18/13*y.
2*(y + 3)*(y + 6)/13
Let w(b) be the second derivative of 0 + 1/30*b**5 - 189*b + 0*b**2 - 11/54*b**4 + 2/9*b**3. Solve w(v) = 0 for v.
0, 2/3, 3
Let x(o) be the first derivative of 5*o**3 - 2005*o**2 + 1335*o - 958. Find d, given that x(d) = 0.
1/3, 267
Let j(q) be the second derivative of -q**7/84 + 79*q**6/20 - 13683*q**5/40 - 42481*q**4/24 - 3580*q**3 - 3600*q**2 - 829*q. Solve j(d) = 0 for d.
-1, 120
Let t(x) be the second derivative of x**6/960 + x**5/480 - x**4/192 - x**3/48 - 13*x**2 - 4*x - 2. Let b(m) be the first derivative of t(m). Factor b(c).
(c - 1)*(c + 1)**2/8
Let m(o) be the third derivative of o**2 + 1/720*o**6 + 0*o**3 - 19 - 1/72*o**5 + 1/36*o**4 + 0*o. Factor m(x).
x*(x - 4)*(x - 1)/6
Let h(i) = i**2 - 3*i - 6. Let q be h(5). Let n(y) = -y**2 - 5*y + 26. Let t be n(-8). Factor -13*u**2 + 15*u**2 + 0*u - u - t*u**q + u**5.
u*(u - 1)**3*(u + 1)
Let t(a) be the first derivative of 2*a**5/35 + 5*a**4/14 - 158*a**3/7 - 1705*a**2/7 + 3872*a/7 - 1189. Solve t(l) = 0 for l.
-11, 1, 16
Suppose 0 = 30*v - 92 - 28. Let o(h) be the first derivative of 17/2*h**2 - v*h - 3 + 7/16*h**4 - 11/3*h**3. Factor o(b).
(b - 4)*(b - 2)*(7*b - 2)/4
Factor -5*w**3 - 23*w + 53*w + 15*w**2 - 4 - 36 + 0*w**3.
-5*(w - 4)*(w - 1)*(w + 2)
Let q(o) be the third derivative of o**7/350 + 3*o**6/50 - 3*o**5/5 + 8*o**4/5 + 10113*o**2. Factor q(l).
3*l*(l - 2)**2*(l + 16)/5
Let a(k) be the second derivative of k**5/4 + 95*k**4/6 + 60*k**3 - 8042*k. Factor a(s).
5*s*(s + 2)*(s + 36)
Let y = 24/72277 - -72181/289108. Solve y*n - 5 + 1/4*n**2 = 0 for n.
-5, 4
Let y(s) = -2*s**3 - 11*s**2 - 4*s + 9. Suppose -3*a = a + 20. Let b be y(a). What is c in -3*c - 14*c + 9 - 3*c**4 + 12*c**3 - 6*c**2 + b*c + c = 0?
-1, 1, 3
Let a be 3 + 4 + -2 + 459/15 + -34. Find y such that 6/5*y**2 - 4/5*y**3 + a + 16/5*y - 2/5*y**4 = 0.
-2, -1, 2
Suppose 30*h = 27*h + 6. Find f such that -2 + 24*f + 2 - 3*f**3 + 221*f**h - 200*f**2 = 0.
-1, 0, 8
Let k(p) be the third derivative of -4/9*p**3 + 13/90*p**5 - 2/3*p**4 + 0*p + 2*p**2 + 0. Factor k(i).
2*(i - 2)*(13*i + 2)/3
Let g(j) = -12*j**4 - 491*j**3 - 4006*j**2 - 1256*j. Let y(b) = 145*b**4 + 5890*b**3 + 48070*b**2 + 15080*b. Let k(h) = -35*g(h) - 3*y(h). Factor k(z).
-5*z*(z + 16)**2*(3*z + 1)
Let v(s) be the third derivative of s**8/448 + 11*s**7/140 + 23*s**6/40 + 61*s**5/40 + 51*s**4/32 - 3*s**2 - 1328*s. Determine l, given that v(l) = 0.
-17, -3, -1, 0
Suppose 0 = 14*u - 5951 - 6803. Let g = u - 4553/5. Determine z so that -2/5 + 0*z + g*z**2 = 0.
-1, 1
Solve -1134*c**3 + 370*c**2 + 38*c + 183*c + 601*c - 62*c - 11*c**3 + 15*c**4 = 0 for c.
-2/3, 0, 1, 76
Let c(g) be the third derivative of 1/735*g**7 + 0*g**4 + 0*g + 1/105*g**6 + 0*g**3 - 1/1176*g**8 - 2/105*g**5 + 0 - 39*g**2. Suppose c(v) = 0. What is v?
-2, 0, 1, 2
Suppose 5396 + 17120 = -52*j. Let q = -433 - j. Factor 5/2*h + q - 1/2*h**2.
-h*(h - 5)/2
Factor 3/5*w**4 - 3/5*w**2 - 18/5*w + 0 + 18/5*w**3.
3*w*(w - 1)*(w + 1)*(w + 6)/5
Let o = 972 + -972. Let y(s) be the first derivative of -2/15*s**5 - 1/3*s**4 - 14 + 2/9*s**3 + 2/3*s**2 + o*s. Factor y(j).
-2*j*(j - 1)*(j + 1)*(j + 2)/3
Let o = -1455 - -3202. Let b = o - 1744. Suppose 1/4*s**2 - b - 1/4*s = 0. What is s?
-3, 4
Let n be ((-50)/(-5) + 3)*1. Let p = 16 - n. Factor -61 - p*k**2 - 36*k - 5 - 58 + 16.
-3*(k + 6)**2
Let t(i) be the third derivative of -i**8/112 + i**7/70 + 3*i**6/20 + i**5/10 - 5*i**4/8 - 3*i**3/2 + 2*i**2 - 106*i. Suppose t(u) = 0. What is u?
-1, 1, 3
Let o be (-88)/(2 + 2) - (8 + -6). Let d(l) = -68*l**2 - 12*l + 824. Let a(q) = 14*q**2 + 2*q - 165. Let f(c) = o*a(c) - 5*d(c). Solve f(r) = 0.
-8, 5
Let r(g) be the first derivative of 45/2*g**2 + 78*g + g**3 - 134. Factor r(s).
3*(s + 2)*(s + 13)
Suppose 303 = 14*u - 131. Solve 31*s - u*s + 4*s**4 - 12*s**2 - 14*s**3 + 6*s**3 = 0.
-1, 0, 3
Let g = -2443 - -2448. Suppose 10 = -p + 7, -g = -4*f - p. Factor -16/7*x**f + 20/7*x - 8/7 + 4/7*x**3.
4*(x - 2)*(x - 1)**2/7
Let c = 67343/9 - 67259/9. Determine h so that 0 - 94/3*h**3 + c*h**4 + 88/3*h**2 - 8*h = 0.
0, 1/2, 6/7, 2
Let h be (9/6)/(((-25)/(-10))/5). Suppose -5*f + 1 - 19 = -i, 22 = h*i + f. Suppose 5*w**2 - 3*w**2 - i*w - 3*w**2 = 0. What is w?
-8, 0
Factor -45*d**2 - 135/2*d + 27 + 3/2*d**5 + 10*d**4 + 10*d**3.
(d - 2)*(d + 3)**3*(3*d - 1)/2
Let i be (3 - -2) + (0 - 15/3). Let g(u) be the first derivative of i*u**2 + 1/2*u**6 - 3 + 0*u**3 + 0*u - 3/2*u**4 - 3/5*u**5. What is l in g(l) = 0?
-1, 0, 2
Let g(m) be the third derivative of 64*m**2 + 7/24*m**4 + 0 + 1/9*m**3 - 23/180*m**5 + 0*m. Find p, given that g(p) = 0.
-2/23, 1
Let d be (5/(-10))/(90/(-60)). Let b(o) be the first derivative of 13 - 5/2*o**2 + 0*o + d*o**3. Let b(w) = 0. What is w?
0, 5
Let d(n) = -n**2 - 2. Let c(b) be the second derivative of 7*b**4/12 - 2*b**3 + 13*b**2 + 94*b. Let m(l) = c(l) + 5*d(l). Find y, given that m(y) = 0.
2, 4
Factor 905*v**4 + 695*v**3 + 887*v**2 - 702*v**4 + 98 - 63*v**5 + 65*v**5 + 491*v.
(v + 1)**3*(v + 98)*(2*v + 1)
Let c(b) be the first derivative of 5*b**3/3 + 5*b**2 - 240*b + 1498. Factor c(f).
5*(f - 6)*(f + 8)
Suppose 10*q - 4*q - 18 = 0. Let -3 + 2*t**q - 4 - 1 - 80*t**2 + 86*t**2 = 0. Calculate t.
-2, 1
Let b(f) be the first derivative of -3*f**5/20 - 165*f**4/4 - 651*f**3/4 + 3*f**2/2 + 651*f + 3830. Let b(v) = 0. Calculate v.
-217, -2, 1
Let w(x) = 50*x**2 + 15312*x - 14653530. Let z(u) = 78*u**2 + 22968*u - 21980292. Let m(p) = -14*w(p) + 9*z(p). Let m(y) = 0. Calculate y.
1914
Let h(w) be the second derivative of 2*w - 11/7*w**2 - 1/21*w**4 + 13/21*w**3 - 24. Factor h(r).
-2*(r - 1)*(2*r - 11)/7
Let x(m) be the first derivative of m**7/210 + m**6/48 + m**5/120 - m**4/24 + 33*m**2/2 - 58. Let g(v) be the second derivative of x(v). Factor g(u).
u*(u + 1)*(u + 2)*(2*u - 1)/2
Factor 4988*i**2 - 604*i**3 + 1114*i**3 + 2134*i + 128 - 679*i**3 + 368*i**2 - 474*i.
-(i - 32)*(13*i + 2)**2
Factor -2406/7*x - 2402/7*x**2 - 4/7.
-2*(x + 1)*(1201*x + 2)/7
Let x(l) be the third derivative of l**6/60 - 7*l**5/2 + 26*l**4/3 - 1615*l**2. Factor x(w).
2*w*(w - 104)*(w - 1)
Let a = -552 - -566. Factor 9*i + a - 2*i**2 - 15*i + 4*i**2 + 0*i - 10*i.
2*(i - 7)*(i - 1)
Suppose -5*j - 2*b - 2 = 0, -j - 18 = 63*b - 67*b. Let u be 143/6 + (-34)/(-51) + j. Solve -24*q**2 + 27 + 3/2*q**5 + 9*q**4 + 9*q**3 - u*q = 0 for q.
-3, -2, 1
Let w(j) be the third derivative of -j**8/1008 - 13*j**7/630 + j**6/72 + 37*j**5/20 - 9*j**4/2 - 5*j**2 + 7*j + 86. Let w(z) = 0. What is z?
-9, 0, 1,