 be the second derivative of c**7/980 + c**6/105 + c**5/140 - 3*c**4/14 - 23*c**3/6 - 9*c. Let j(k) be the second derivative of v(k). Factor j(p).
6*(p - 1)*(p + 2)*(p + 3)/7
Let c be 42/(-24)*(-8)/2. Let f be 0/c - (0 + -2). Let p - 3*p**f + 4*p - 2*p + 6 + 0 = 0. What is p?
-1, 2
Let t = 967 + -965. What is k in 3/2*k**t + 3/2*k**3 - 3/2*k**4 - 3/2*k + 0 = 0?
-1, 0, 1
Let r be 6/(-4)*(2 - 4). Let j = 283 + -279. Factor 6*c**2 - r*c**3 - 6*c**j - 3*c**5 + 3*c**3 + 3*c.
-3*c*(c - 1)*(c + 1)**3
Let c(u) be the first derivative of 4 + 4/9*u**3 + u**2 + 1/18*u**4 - 5*u. Let g(b) be the first derivative of c(b). Determine f, given that g(f) = 0.
-3, -1
Suppose -36 = -4*q + 3*y, 2*q - 3*y = 6*q - 60. Factor 9*r**2 + 2*r + 16 - q*r**3 + 2*r + 13*r**3 + 20*r.
(r + 1)*(r + 4)**2
Let a(g) be the second derivative of -1/8*g**4 + 0 - 1/40*g**6 + 0*g**3 - 5/2*g**2 - 1/10*g**5 - 5*g. Let k(b) be the first derivative of a(b). Solve k(h) = 0.
-1, 0
Let s be (-15)/4*(1 - -3). Let v(l) = l**3 + l**2 - 1. Let b(h) = -h**5 - h**4 - 4*h**3 - 4*h**2 + 5. Let g = 10 + -13. Let c(d) = g*b(d) + s*v(d). Factor c(f).
3*f**2*(f - 1)*(f + 1)**2
Suppose -2*i + 16 = -2*o, 2*o = -i - 3*i + 32. Suppose i*a = 6*a + 10. Factor -2*h + 3*h**2 - 3*h - 3 + a*h.
3*(h - 1)*(h + 1)
Let v be 183/244 - -2*113/552. Let b = 42/23 - v. Solve -2/3*a**5 - 2/3*a**2 - 16/3*a + b*a**4 + 10/3*a**3 - 8/3 = 0.
-1, 2
Let t(r) = -3*r**2 + 585*r + 6. Let x(m) = -m**2 + 1. Let k(p) = -t(p) + 6*x(p). Find j such that k(j) = 0.
-195, 0
Let r(q) = -2*q**2 - 1. Let k(s) = 9*s**2 + 16*s - 32. Let a(h) = -k(h) - 4*r(h). Find w such that a(w) = 0.
-18, 2
Factor 2*s - 2/9*s**2 + 0.
-2*s*(s - 9)/9
Let u(b) be the second derivative of 0*b**2 + 0 - 7*b + 2/27*b**3 + 1/180*b**5 + 1/27*b**4. Factor u(r).
r*(r + 2)**2/9
Let h(j) = -j**3 + j. Let z(v) be the second derivative of v**5/4 + 7*v**4/12 - 2*v**3 + 28*v. Let o(l) = 12*h(l) + 3*z(l). Find g, given that o(g) = 0.
-8, 0, 1
Let f = -16767/10 - -8421/5. Factor f - 5/4*w**2 - 5/4*w.
-5*(w - 2)*(w + 3)/4
Let m(c) = c - 6*c + c**2 + 19 - 8*c + 3*c. Let g be m(8). Determine t so that 3/4*t**g - 3/2*t**2 + 0 + 3/4*t = 0.
0, 1
Let l be (-130)/(-105) - (-132)/308. Let -4/3*z**2 + 0 - l*z**3 - 2/3*z**4 - 1/3*z = 0. What is z?
-1, -1/2, 0
Let h(x) = -10*x - 8 + 3*x - 2 + x**2 - 4*x. Let f be h(12). Factor -3*d**4 + 4*d - 6*d**3 + 3 + f*d**2 + 2*d - 2*d**2.
-3*(d - 1)*(d + 1)**3
Let t = -297 - -297. Let h(u) be the third derivative of -6*u**2 + 0*u**3 + 0*u**4 - 1/60*u**5 - 1/360*u**6 + t*u + 0. Find p, given that h(p) = 0.
-3, 0
Suppose -3*z + 1 + 5 = 0. Suppose d + 2 = c, -2 = z*d - 4. Suppose 0*l**4 + 12*l - 13*l**c - 3*l**4 + 2*l**2 - 4 + l**2 + 5*l**3 = 0. Calculate l.
-2, 1/3, 1
Let o = 1 + 8. Suppose -p = -3 - o. Solve 14*s**4 + 36*s**3 - 5*s - 5*s**4 + 9*s**2 - s + p*s**4 = 0.
-1, 0, 2/7
Let t(p) be the third derivative of -p**7/168 + 13*p**6/120 - p**5/16 - 13*p**4/24 + 5*p**3/6 + 528*p**2. Let t(c) = 0. Calculate c.
-1, 2/5, 1, 10
Let b(z) be the third derivative of -z**5/120 + 115*z**4/48 - 34*z**2 + 6. Factor b(q).
-q*(q - 115)/2
Suppose -11*o = -12*o + 8. Find g such that -o*g + 12*g**2 - 834 - 4*g**4 + 834 = 0.
-2, 0, 1
Let j be ((-30)/21)/(2/(-14)). Let f be (14/35)/(8/j). Suppose f*i + 3/4*i**2 + 1/4*i**3 + 0 = 0. Calculate i.
-2, -1, 0
Let s(q) be the first derivative of 3*q**4/4 - 38*q**3 + 1083*q**2/2 - 32. Factor s(k).
3*k*(k - 19)**2
Let a = -142 + 296. Let t = a - 152. Factor 2/3*v**t + 1/3*v**3 + 0 + 1/3*v.
v*(v + 1)**2/3
Suppose 413 + 357 + 384 - 1093 + 62*h + h**2 = 0. Calculate h.
-61, -1
Determine u so that 9/5*u**4 - 3*u**2 - 6/5*u**3 + 0 + 0*u = 0.
-1, 0, 5/3
Let f(b) = b**3 - 5*b**2 + 2*b + 2. Suppose 4*i - 1 - 19 = 0. Let s be f(i). Let 7*j**3 + 0 - 4*j**3 - 12*j**2 - 7*j**3 - 4 - s*j = 0. Calculate j.
-1
Let r be ((0 + 0)/(-11 + 12))/(-3). Let p(b) be the third derivative of 1/210*b**6 + 0*b**4 - 2*b**2 - 1/21*b**3 + 1/70*b**5 + 0 + r*b. What is s in p(s) = 0?
-1, 1/2
Let h(q) be the first derivative of -1/24*q**4 - 6*q - 1/3*q**3 - 3/4*q**2 - 3. Let s(c) be the first derivative of h(c). Suppose s(t) = 0. Calculate t.
-3, -1
Let u be (-30)/20*(-340)/9 + -3. Let i = -53 + u. Determine o, given that i*o**3 + 0*o**2 + 0*o + 2/9*o**4 + 0 = 0.
-3, 0
Let v(k) be the second derivative of k**6/285 - k**5/19 + 25*k**4/114 - 27*k + 2. Find n such that v(n) = 0.
0, 5
Suppose -5*t = 0, 4*y = 3*t + 13 + 3. Factor -i**5 + i**2 + 14*i**2 + 6*i - 15*i**3 - 3*i**y - 2*i**5 + 24*i**3.
-3*i*(i - 2)*(i + 1)**3
Let z(q) be the second derivative of -q**4/12 + 11*q**3/6 + 13*q**2 - 352*q - 1. Factor z(r).
-(r - 13)*(r + 2)
Let s be (((-12)/(-5))/(-3))/(10/(-50)). Let q be ((-3)/s*-1)/((-54)/(-32)). Solve -2/9*p**2 + 2/3*p - q = 0.
1, 2
Let m(r) = r**2 + r - 1. Let a(f) = -25*f**2 - 20*f. Let w(h) = -a(h) + 5*m(h). Let q(o) = -o**2 - o. Let p(k) = -15*q(k) - w(k). Factor p(j).
-5*(j + 1)*(3*j - 1)
Suppose 3*m + 0*m = 12, -3*m + 16 = 2*d. Factor 2/15*y**3 + 16/15*y - 2/3*y**d - 8/15.
2*(y - 2)**2*(y - 1)/15
Let f(r) be the third derivative of r**7/42 + 5*r**6/12 + 11*r**5/4 + 25*r**4/3 + 40*r**3/3 + 7*r**2. Factor f(j).
5*(j + 1)**2*(j + 4)**2
Let r(m) be the third derivative of m**8/2352 + m**7/210 + m**6/140 - 11*m**5/210 - m**4/24 + 5*m**3/14 + 2*m**2 + 12. Find q such that r(q) = 0.
-5, -3, -1, 1
Let u(i) be the third derivative of -10*i**2 + 0*i + 1/20*i**5 + 1/8*i**4 + 0 + 1/3*i**3. Let z(q) = 2*q**2 + 2*q + 1. Let p(k) = -5*u(k) + 8*z(k). Factor p(m).
(m - 1)*(m + 2)
Let m(g) be the third derivative of 0*g - 1/15*g**6 - g**4 + 1/210*g**7 + 4*g**2 + 11/30*g**5 - 3 + 3/2*g**3. Factor m(j).
(j - 3)**2*(j - 1)**2
Suppose -2*q + 0*q = -q. Let r(l) be the second derivative of 0 + 3/50*l**5 + q*l**3 - 1/15*l**4 + 0*l**2 + 4*l - 1/75*l**6. Factor r(y).
-2*y**2*(y - 2)*(y - 1)/5
Let j(x) be the third derivative of -3*x**6/200 - 7*x**5/100 + 43*x**4/40 + 3*x**3/2 - 46*x**2. Suppose j(i) = 0. What is i?
-5, -1/3, 3
Let u(k) = 5*k**2 - 10*k - 15. Let n be 2028/42 + (-2)/7. Let m(i) = -n - i + 0*i + 47. Let b(x) = -10*m(x) + u(x). Let b(l) = 0. Calculate l.
-1, 1
Let w(q) be the second derivative of 0 + 0*q**2 + 1/18*q**4 - 13*q + 1/9*q**3. Determine n so that w(n) = 0.
-1, 0
Let x be (-5 + 2)*18/(-252). Let m(v) be the first derivative of -x*v**2 + 2/7*v - 2 + 1/21*v**3. Factor m(p).
(p - 2)*(p - 1)/7
Let r = 8 - -21. Let -l**2 + 4*l + r - l - 29 = 0. What is l?
0, 3
Determine c, given that 6/11*c**3 - 2*c**2 + 16/11*c + 8/11 = 0.
-1/3, 2
Let i(k) be the second derivative of -k**6/135 + 2*k**5/45 - 5*k**4/54 + 2*k**3/27 - 68*k. Factor i(m).
-2*m*(m - 2)*(m - 1)**2/9
Suppose 0 = -3*g - 29 + 80. Let p(i) = 2*i**2 + i - 1. Let t be p(1). Factor -11*q**5 + g*q**4 + 4*q**t + q**5 - 18*q**3 + 7*q**4.
-2*q**2*(q - 1)**2*(5*q - 2)
Let q(b) be the first derivative of 5*b**3/3 - 5*b**2 - 40*b - 120. Factor q(v).
5*(v - 4)*(v + 2)
Let t be (-1)/4 - (165/(-20) + -1). Let u be ((-42)/9 + 4)/((-2)/t). Factor 0 + 0*x + 0*x**2 - 1/5*x**u.
-x**3/5
Factor 1 + 9/5*t + 1/5*t**5 - 3/5*t**4 - 2*t**3 - 2/5*t**2.
(t - 5)*(t - 1)*(t + 1)**3/5
Let p(u) = 20*u**3 + 17*u**2 - 23*u. Let r(h) = 12*h**3 + 8*h**2 - 12*h. Let v(j) = 4*p(j) - 7*r(j). Find f such that v(f) = 0.
0, 1, 2
Let z(r) be the second derivative of 1/3*r**4 + 14/3*r**3 + 4*r + 0 - 16*r**2. Factor z(x).
4*(x - 1)*(x + 8)
Suppose 0*u - 3*u = 5*x + 3, 2*u - 2*x + 2 = 0. Let a = u + 3. Solve t**2 - 4 + 4*t - 2*t + 0*t**2 - 2*t**3 - a*t**4 + 5*t**2 = 0.
-2, -1, 1
Let j(v) = -v**2 - 1. Let w(i) = i**4 - 2*i**3 + 2*i**2 + 2*i + 3. Let z be 45/5 + 1*-3. Let u(d) = z*j(d) + 2*w(d). Suppose u(o) = 0. Calculate o.
-1, 0, 1, 2
Let q(i) be the second derivative of i**6/18 + i**5/3 - 5*i**4/36 - 10*i**3/9 + 922*i. Find s, given that q(s) = 0.
-4, -1, 0, 1
Suppose -12 = 3*w + 2*j + 9, -3*w = 5*j + 30. Let d(f) = f + 11. Let z be d(w). Determine p, given that 6*p - p**5 - z*p**4 - 5*p + 4*p**4 + 2*p**2 = 0.
-1, 0, 1
Find s such that 311*s**2 + s**4 + 305 - 1125*s**3 + 244*s**2 + 1624*s + 1183*s**3 + 342*s**2 + 479 = 0.
-28, -1
Let m(j) = j**3 + 11*j**2 + 5. Suppose 0 = 4*b + 40 + 4. Let i be m(b). Factor -2*q**5 + 6*q**4 + q**i - 3*q**3 - 2*q**5 - 6*q**2 + 6*q**5.
3*q**2*(q - 1)*(q + 1)*(q + 2)
Let b(l) be the third derivative of l**9/9072