*r*(r + 26)/5
Let y(g) be the second derivative of 4*g**6/15 - 9*g**5/5 - 49*g**4/3 - 36*g**3 - 32*g**2 + 76*g. Suppose y(i) = 0. Calculate i.
-2, -1, -1/2, 8
Let b(w) be the second derivative of -w**5/45 + 2*w**3/9 + 9*w**2/2 - w. Let h(j) be the first derivative of b(j). Factor h(t).
-4*(t - 1)*(t + 1)/3
Factor 14/3*n**2 - 20/9*n + 2/9*n**4 + 0 - 8/3*n**3.
2*n*(n - 10)*(n - 1)**2/9
Let i(s) be the second derivative of -s**5/60 + s**4/8 + 2*s**2 - 15*s. Let l(y) be the first derivative of i(y). Factor l(c).
-c*(c - 3)
Let l(a) be the second derivative of -a**5/20 + 101*a**4/4 - 10201*a**3/2 + 1030301*a**2/2 + 198*a. Factor l(u).
-(u - 101)**3
Find u, given that -10/7*u**3 + 1060/7*u + 746/7*u**2 + 304/7 = 0.
-1, -2/5, 76
Let d = -86 + 90. Suppose 4*w - 64 = -4*p, 0*w - 16 = -w - 3*p. Determine h so that w*h**4 + 2*h**4 + d*h + 48*h**3 + 15*h**2 + 11*h**2 = 0.
-2, -1/3, 0
Let k be 55/99*(-8)/(-10). Let x(l) be the second derivative of 4*l + 0 - 4/3*l**2 - 1/18*l**4 - k*l**3. Factor x(i).
-2*(i + 2)**2/3
Suppose -104 = 68*l - 81*l. Let j(g) be the first derivative of 0*g**3 + 0*g - 1/2*g**6 + 0*g**2 - 3/4*g**4 - l - 6/5*g**5. Suppose j(a) = 0. What is a?
-1, 0
Let s = 12512/9 - 1390. Factor 4/9*v + 0 + s*v**2.
2*v*(v + 2)/9
Let n be (3/15 - 0)/(4/5). Let p(d) be the second derivative of 2*d - 1/2*d**4 - 7/40*d**5 + 0 - n*d**3 + 1/2*d**2. Factor p(j).
-(j + 1)**2*(7*j - 2)/2
Let i be 482/8 + 76/16 + -5. Let d = 60 - i. Factor 2/7*w**2 + 0 + 2/7*w**4 + 4/7*w**3 + d*w.
2*w**2*(w + 1)**2/7
Let f(c) = -6*c**5 + 64*c**4 - 22*c**3 + 6*c**2. Let p(l) = -7*l**5 + 62*l**4 - 21*l**3 + 5*l**2. Let b(q) = -5*f(q) + 6*p(q). Factor b(z).
-4*z**3*(z - 4)*(3*z - 1)
Let f(i) be the first derivative of 9*i**4/28 + 26*i**3/7 + 111*i**2/14 + 6*i - 94. Factor f(j).
3*(j + 1)*(j + 7)*(3*j + 2)/7
Let l(t) be the third derivative of -t**8/1008 + 2*t**7/315 + t**6/120 - 7*t**5/90 + t**4/9 - 64*t**2 + t. Let l(y) = 0. Calculate y.
-2, 0, 1, 4
Let f be 13 + -8 - (1 - -1). Suppose 6*x - 42 = f*x. Factor -18*k**3 - 8*k**5 + 9*k**5 + x*k**2 - 3*k**5 - 4*k + 10*k**4.
-2*k*(k - 2)*(k - 1)**3
Let l be 498/(-105) + (-24)/60 - (-10 - -4). Find c, given that 2/7*c**3 + 6/7*c + 2/7 + l*c**2 = 0.
-1
Let y(v) be the first derivative of 8/5*v**5 - 5/3*v**3 + 0*v - 2/3*v**6 + 3/4*v**4 - v**2 - 3. Suppose y(l) = 0. Calculate l.
-1/2, 0, 1, 2
Let m(y) = -10*y**3 - 50*y**2 - 35*y + 5. Let x(v) = -v**3 - v**2 + v + 1. Let h(z) = -m(z) + 5*x(z). Factor h(p).
5*p*(p + 1)*(p + 8)
Suppose 0 + 1/5*j**5 - 8/5*j**3 - 128/5*j - 96/5*j**2 + 6/5*j**4 = 0. What is j?
-4, -2, 0, 4
What is u in 16*u**2 - 17*u**3 - 25*u**2 + 6*u + 20*u**3 = 0?
0, 1, 2
Suppose 4*l = -5*x + 20, l + 65 = 5*x - 4*l. Suppose 24 - x = 4*r. Factor -r*f - 2*f**2 - 9*f + f - 18 + 0*f.
-2*(f + 3)**2
Factor 143/3*n + 70/3*n**2 + 2.
(n + 2)*(70*n + 3)/3
Suppose -4*f - 5*h = 192, -2*f - 5*h + 6 = 112. Let a = -43 - f. Factor -1/4*z**3 + 0 + 0*z**2 + 1/4*z**4 + a*z.
z**3*(z - 1)/4
Factor 2*z + 68*z**2 + 96 + 6*z - 72*z**2.
-4*(z - 6)*(z + 4)
Let b(q) be the second derivative of 5*q**7/42 + q**6/3 - 3*q**5/4 - 5*q**4/3 + 10*q**3/3 + 13*q. Factor b(h).
5*h*(h - 1)**2*(h + 2)**2
Let k(j) = 11*j**3 + 9*j**2 + 4*j - 4. Let r(g) = -120*g**3 - 100*g**2 - 45*g + 45. Let m = 11 + -7. Let i(l) = m*r(l) + 45*k(l). Factor i(s).
5*s**2*(3*s + 1)
Let c be ((-2)/(-6))/((-9)/(-351)). Factor 0*w + 35*w**3 - c*w**2 - 31*w**3 + 5*w**2 + 4*w.
4*w*(w - 1)**2
Let r be 15/(-35) - 45/(-7). Suppose -18 = -3*i - 6*y + 3*y, 2*i - 5*y + 16 = 0. Solve d + 9*d - 2*d**3 - 8 + 4 - r*d**2 + i*d**4 = 0 for d.
-2, 1
Let p(n) be the second derivative of -n**7/14 - 11*n**6/10 - 117*n**5/20 - 61*n**4/4 - 22*n**3 - 18*n**2 + 74*n. Factor p(u).
-3*(u + 1)**3*(u + 2)*(u + 6)
Let x be 29 + 4719/(-195) - (-1 - -3 - -2). Let -2/5*j**5 - 8/5*j**3 - x + 8/5*j**4 + 2*j - 4/5*j**2 = 0. What is j?
-1, 1, 2
Let c(u) be the third derivative of u**7/105 + u**6/60 - 2*u**2 + 26*u. Factor c(b).
2*b**3*(b + 1)
Suppose 2*m - 7 = -o + 6, -4*o = 2*m - 22. Let a(j) be the third derivative of 1/15*j**m + 0*j + 0 + 5*j**2 + 6*j**3 - j**4. Solve a(x) = 0.
3
Let h be 308/(-1260) + -3*2/(-24). Let z(n) be the third derivative of 5*n**2 - 1/24*n**4 + 0*n - h*n**5 - 1/9*n**3 + 0. Find j, given that z(j) = 0.
-2, -1
Let h(l) be the third derivative of 29/12*l**4 + 7/60*l**6 + 2*l**3 + 0 + l**5 + 36*l**2 + 0*l. Factor h(o).
2*(o + 1)*(o + 3)*(7*o + 2)
Let p(r) be the second derivative of 0 - 1/10*r**4 - 9/5*r**2 - 1/150*r**5 - 3/5*r**3 + r. What is k in p(k) = 0?
-3
Suppose -7*v - 1 = 20. Let o(s) = 14*s**3 + 60*s**2 + 24*s - 4. Let x(d) = 13*d**3 + 61*d**2 + 24*d - 3. Let r(l) = v*o(l) + 4*x(l). Let r(g) = 0. Calculate g.
-6, -2/5, 0
Let v(k) be the third derivative of k**10/60480 - k**9/24192 + 4*k**5/15 + 8*k**2. Let l(w) be the third derivative of v(w). Factor l(j).
5*j**3*(j - 1)/2
Let o(q) = -2*q - 6. Let j be o(-3). What is t in -4*t**2 - 2*t + j*t**2 - 3*t - t**2 = 0?
-1, 0
Let l(q) = -470*q**2 + 14*q - 6 - 24 + 471*q**2. Let v be l(-16). Solve 6/5 - 4/5*s - 2/5*s**v = 0 for s.
-3, 1
Let y(z) = -7*z + 65. Let h be y(0). Suppose 397*x**5 - 401*x**5 - h*x**3 - 20*x + 20*x**4 + 4 + 25*x**3 + 40*x**2 = 0. Calculate x.
1
Let u be 11/8 + -1 - 10608/(-11648). Let 3/7*r**2 - 12/7*r + u = 0. Calculate r.
1, 3
Let w(v) be the second derivative of -v**8/420 - v**7/315 + 13*v**3/2 + 33*v. Let i(f) be the second derivative of w(f). Find o, given that i(o) = 0.
-2/3, 0
Let a(q) = -2*q - 40. Let m = -88 - -68. Let i be a(m). Factor 0 - 2/9*w**4 + i*w**2 + 0*w**3 + 0*w.
-2*w**4/9
Let b(z) be the first derivative of -z**7/42 + z**6/8 - z**5/6 + z**2 + 8. Let u(i) be the second derivative of b(i). Factor u(c).
-5*c**2*(c - 2)*(c - 1)
Let s(p) be the second derivative of 5*p**4/6 - 7*p**3/3 + 11*p**2 - 25*p. Let j(v) = -2*v**2 - v. Let o(d) = -6*j(d) - s(d). Factor o(w).
2*(w - 1)*(w + 11)
Suppose -220 = 6*s - 238. Let c(n) be the third derivative of 1/60*n**5 + 0*n + 4*n**2 - 1/40*n**6 + 0 + 1/2*n**4 - 2/3*n**s. Find r such that c(r) = 0.
-2, 1/3, 2
Let b(d) be the second derivative of -d**5/300 - d**4/30 - 2*d**3/15 - 3*d**2/2 - 22*d. Let h(m) be the first derivative of b(m). Let h(w) = 0. What is w?
-2
Suppose 2*w = 6*w - 2*w. Let u(h) be the second derivative of w + 9*h + 1/30*h**4 + 0*h**3 + 1/75*h**6 + 0*h**2 - 1/25*h**5. Let u(v) = 0. What is v?
0, 1
Let s be 6 - ((-48)/12 - -8). Let o(l) be the first derivative of -2 + 1/9*l - 1/18*l**s - 1/27*l**3 + 1/36*l**4. What is d in o(d) = 0?
-1, 1
Let x be ((-513)/114)/(3/(-2)). Let o(p) be the first derivative of 7/10*p**4 - 2/3*p**x - 2/5*p**2 + 0*p + 7. Factor o(j).
2*j*(j - 1)*(7*j + 2)/5
Let q(h) be the second derivative of -h**8/56 + 2*h**7/105 + 7*h**6/60 + h**5/15 + 11*h**2 - 21*h. Let t(c) be the first derivative of q(c). Solve t(b) = 0.
-1, -1/3, 0, 2
What is u in -215*u**3 - 47*u - 8*u - 100 + 195*u**2 + 25*u**4 - 8*u + 143*u + 15*u**5 = 0?
-5, -2/3, 1, 2
Let j be ((-58)/5)/((-2)/5). Determine b, given that -j + 5*b - 15*b**2 + 29 = 0.
0, 1/3
Let b(m) be the third derivative of m**6/12 + 8*m**5/15 + m**4/3 - 16*m**3/3 - 849*m**2. Factor b(q).
2*(q + 2)**2*(5*q - 4)
Let d(g) = 9 + 10*g + 5*g**2 + 4 + 12. Let n(l) = -4*l**2 - 10*l - 25. Let a(p) = -3*d(p) - 4*n(p). Let a(h) = 0. Calculate h.
-5
Let v be 12/(-20) - (-204)/15. Suppose v*f - 26*f = 0. Factor -2/11*s - 2/11*s**3 + f - 4/11*s**2.
-2*s*(s + 1)**2/11
Let i(b) be the third derivative of b**5/330 + 2*b**4/3 + 176*b**3/3 - 138*b**2. Factor i(q).
2*(q + 44)**2/11
Let s = 93 + -93. Let x(w) be the first derivative of 0*w + 0*w**2 - 5 + s*w**3 + 1/7*w**4 - 2/35*w**5. Factor x(p).
-2*p**3*(p - 2)/7
Suppose 25*i - 15*i - 40 = 0. Let k(n) be the first derivative of 6 - 1/6*n**2 - 1/3*n + 1/12*n**i + 1/9*n**3. Factor k(v).
(v - 1)*(v + 1)**2/3
Let l(w) be the second derivative of 0*w**3 + 0*w**5 - 2/15*w**6 + 34*w - 2*w**2 + 0 + 2/3*w**4. Factor l(b).
-4*(b - 1)**2*(b + 1)**2
Factor 3*j**4 + 7*j**3 + 0*j + 11/3*j**2 - 1/3*j**5 + 0.
-j**2*(j - 11)*(j + 1)**2/3
Factor 8*n**2 - 256*n + 4 - 3*n**2 + 266*n + 1.
5*(n + 1)**2
Let i(p) be the first derivative of -p**8/336 + p**6/72 - 17*p**3/3 - 3. Let d(b) be the third derivative of i(b). Factor d(t).
-5*t**2*(t - 1)*(t + 1)
Let y(o) = -9*o**3 + 95*o**2 