nd derivative of v(c). Factor q(m).
-2*m**2*(m - 1)/3
Suppose 0 = -2*u + 5*h - 17, -4*h + 56 = 5*u + 16. Factor w**3 - 2*w**4 - 2*w**4 + 7*w**4 - 7*w**2 - w**5 + u.
-(w - 2)**2*(w - 1)*(w + 1)**2
Let p(i) be the second derivative of i**6/15 + 2*i**5/5 + 5*i**4/6 + 2*i**3/3 + 53*i. Solve p(r) = 0 for r.
-2, -1, 0
Let i = -34 - -20. Let c be i/(-6) - 2/(-3). Find u, given that 1/4*u**4 - 1/4*u**5 + 0 + 0*u + 1/4*u**c - 1/4*u**2 = 0.
-1, 0, 1
Let i be 1/2*(-13 + 13). Let d(t) be the second derivative of 4/45*t**6 + 19/18*t**4 + 4/3*t**2 - 5/12*t**5 - 14/9*t**3 - 1/126*t**7 + t + i. Factor d(g).
-(g - 2)**3*(g - 1)**2/3
Let m(c) be the first derivative of c**5/20 + c**4/4 + c**3/2 - c**2 - 1. Let l(d) be the second derivative of m(d). Factor l(i).
3*(i + 1)**2
Let u be 0/((-4)/(-8)*4). Factor 0*k + u*k**2 + 0 + 1/4*k**3.
k**3/4
Suppose 2*v - 4*h + 9 = 23, -v = 2*h + 1. Solve -4/5 - 8/5*k**v + 8/5*k**4 + 2*k - 4/5*k**2 - 2/5*k**5 = 0 for k.
-1, 1, 2
Factor 0*a - 2/5*a**2 - 2/5*a**3 + 0.
-2*a**2*(a + 1)/5
Let d = 10 - 5. Let n be 6/d*(-40)/(-12). Factor 0*v**2 - n*v + 0 - 2*v**2 - 2.
-2*(v + 1)**2
Determine s so that 10*s + 8*s - 12*s + 3*s**2 - 24 = 0.
-4, 2
Solve -4*t**2 - 20/7*t**4 - 4/7*t**5 - 8/7*t - 36/7*t**3 + 0 = 0 for t.
-2, -1, 0
Let w(p) = -6*p**3 + 2*p**2 + 4*p - 4. Let r(f) = -5*f**3 + 2*f**2 + 3*f - 3. Let h(m) = -4*r(m) + 3*w(m). Determine t so that h(t) = 0.
0, 1
Let l(p) be the third derivative of 1/6*p**4 + 0*p**5 + 0*p - 7*p**2 + 1/105*p**7 - 1/30*p**6 + 0 - 1/3*p**3. Factor l(x).
2*(x - 1)**3*(x + 1)
Suppose 64/23*p + 70/23*p**5 - 32/23 - 296/23*p**3 + 256/23*p**2 - 62/23*p**4 = 0. Calculate p.
-2, -2/5, 2/7, 1, 2
Let j = -91 - -140. Let u be (-28)/j*(-14)/12. Solve 0 - 4/3*t - u*t**2 = 0.
-2, 0
Let f be (1 - 1)*(-10)/20. Let w(m) be the second derivative of 0*m**2 - 2*m + f + 1/21*m**3 + 1/14*m**4. Factor w(b).
2*b*(3*b + 1)/7
Let t(d) = 14*d**2 + 4*d + 3. Let o(h) = 42*h**2 + 12*h + 10. Let s(q) = 3*o(q) - 10*t(q). Solve s(u) = 0 for u.
-2/7, 0
Let i(u) be the second derivative of -2*u**4/3 + 7*u**3/3 + 2*u**2 - 4*u. Factor i(n).
-2*(n - 2)*(4*n + 1)
Factor -2/7*o**3 - 8/7*o**2 + 0 - 8/7*o.
-2*o*(o + 2)**2/7
Let n be (-10)/(-4) - (-2)/4. Let i = -1 + n. Find h such that -h**2 + 0*h**2 + i*h + 1 - 1 = 0.
0, 2
Let q be -370*(-18)/8100 + (-3)/5. Factor 2/3*m + 0 + q*m**2.
2*m*(m + 3)/9
Let j(t) be the third derivative of t**8/672 - t**7/420 - t**6/180 + t**4/6 - 5*t**2. Let l(o) be the second derivative of j(o). Factor l(k).
2*k*(k - 1)*(5*k + 2)
Let g = 40/13 + -68/39. Let o(j) be the first derivative of 0*j**2 - 2*j + 0*j**4 - 2/5*j**5 - 3 + g*j**3. Factor o(y).
-2*(y - 1)**2*(y + 1)**2
Let h(s) = -s**2 + 16*s - 27. Let n(o) = 12*o**2 - 207*o + 351. Let b(q) = -27*h(q) - 2*n(q). Factor b(z).
3*(z - 3)**2
Suppose -5*i = -5, -5*o - 3*i = -0*i - 133. Let p be o/30 + (-5)/(-15). Let -p*z + 4/5*z**2 + 6/5*z**3 - 4/5 = 0. Calculate z.
-1, -2/3, 1
Let m be 3*6/(-9) + 17. Suppose 0 = -5*d + n + m, 4*d - n = -0*n + 13. Factor 0*f**d - 2/9*f**3 + 2/9*f + 0.
-2*f*(f - 1)*(f + 1)/9
Let r = -350 + 350. Let f be (-6)/(-4)*(-2)/(-6). Factor 2*k**2 + 2*k + f*k**3 + r.
k*(k + 2)**2/2
Let w(b) be the third derivative of b**4/6 - b**3/6 + 4*b**2. Let z be w(1). Factor i**4 - 4*i**4 + 0*i + 2*i**2 + 3*i**3 - z*i + i**2.
-3*i*(i - 1)**2*(i + 1)
Let b(m) = m**4 + 3*m**3 + 3*m**2 + 3. Let c(h) = -2*h**3 - 2*h**2 - 2. Let n(s) = -s + 8. Let d be n(6). Let k(v) = d*b(v) + 3*c(v). Solve k(a) = 0.
0
Let o(i) be the first derivative of -2/15*i**3 + 6/5*i**2 - 18/5*i + 2. Solve o(j) = 0.
3
Let s(k) be the second derivative of -k**5/70 - k**4/7 - 3*k**3/7 - 4*k**2/7 - 31*k. Factor s(j).
-2*(j + 1)**2*(j + 4)/7
Suppose 5*b = 3*d - 26, 0*d + 5*b = -d - 18. Find s such that -1 - 4*s**d + 4 + s**2 = 0.
-1, 1
Let h(y) = 2*y - 2. Let w be h(2). Find l, given that 0*l**3 - l**3 + w*l + 0 - 6*l**2 + 2*l**4 + 4 - l**3 = 0.
-1, 1, 2
Factor -3*i**2 + 12 + 6*i - 3/2*i**3.
-3*(i - 2)*(i + 2)**2/2
Let c(u) be the first derivative of -u**4/4 + u**3/9 - 14. Factor c(h).
-h**2*(3*h - 1)/3
Factor -2/7*v**3 - 5/7*v**4 + 5/7*v**2 + 2/7*v + 0.
-v*(v - 1)*(v + 1)*(5*v + 2)/7
Let z(c) be the third derivative of c**6/420 - 2*c**5/105 + 5*c**4/84 - 2*c**3/21 + c**2. Let z(l) = 0. What is l?
1, 2
Suppose -5*v = -5*j - 20, -v - 4*v + 6 = 2*j. Let k be 4 - 0 - 2/j. Factor k*r**2 + r - 3*r**2 - r**2.
r*(r + 1)
Let u(o) = -o**3 + 13*o**2 - 11*o - 10. Let f be u(12). Suppose 12*n**2 + 2*n + 2*n**3 + f*n**4 - 2*n - 16*n**2 = 0. Calculate n.
-2, 0, 1
Let y(a) be the second derivative of a**7/420 + a**6/60 + a**5/20 + a**4/12 + a**3/6 - 2*a. Let j(i) be the second derivative of y(i). Factor j(u).
2*(u + 1)**3
Let w(x) be the third derivative of x**5/70 + 3*x**4/14 - x**2. Factor w(y).
6*y*(y + 6)/7
Let f be (-36)/(-45) - 4/5. Let w(u) be the second derivative of 3/5*u**5 - 1/2*u**3 - u + f + 3/4*u**4 + 0*u**2. Let w(o) = 0. What is o?
-1, 0, 1/4
Let t(x) = x**2 + 18*x + 80. Let q be t(-11). Solve -1/4*p**q + 0 + 1/4*p + 3/4*p**4 - 3/4*p**2 = 0 for p.
-1, 0, 1/3, 1
Let o = 4 - 26/7. Factor -o*a**4 + 0 - 2/7*a**2 + 4/7*a**3 + 0*a.
-2*a**2*(a - 1)**2/7
Let b(r) = 5*r**3 - r + 1. Let g be b(1). Suppose 0 = -2*f - 1 + g. What is u in 2*u + u**2 - 2*u**2 - 3*u**2 + f = 0?
-1/2, 1
Let o(p) be the first derivative of p**5/5 - p**4/2 - p**3/3 + p**2 + 58. Find m, given that o(m) = 0.
-1, 0, 1, 2
Let d be 4/1 + 12/28. Let t = 33/7 - d. Find i such that t*i + 2/7*i**4 + 0 + 6/7*i**2 + 6/7*i**3 = 0.
-1, 0
Let m(j) be the second derivative of j**4/72 + j**3/18 + j**2/12 + 23*j. Factor m(s).
(s + 1)**2/6
Let o(y) be the first derivative of -2*y**5/35 - y**4/14 + 2. Factor o(s).
-2*s**3*(s + 1)/7
Let p(v) be the third derivative of -v**5/12 + 5*v**4/3 - 40*v**3/3 + 7*v**2. Let p(l) = 0. Calculate l.
4
Let z be (114/228)/((-3)/(-2) + 0). Let -1/3*q**2 + z*q**3 + 1/6*q**4 - 1/6*q**5 - 1/6*q + 1/6 = 0. Calculate q.
-1, 1
Let p(m) be the second derivative of -7*m**5/4 + 5*m**4 - 5*m**3/2 - 5*m**2 + 14*m. Solve p(a) = 0 for a.
-2/7, 1
Determine d, given that 0*d + 0 - 14/3*d**4 + 0*d**2 + 1/3*d**3 + 49/3*d**5 = 0.
0, 1/7
Let g(k) be the third derivative of k**7/560 + k**6/320 - 3*k**5/160 - k**4/64 + k**3/8 + k**2. Solve g(h) = 0.
-2, -1, 1
Let a = 6 + -2. Factor -4*z**4 + 14*z**2 + 0*z**a + 6*z**3 + z + z**5 - 18*z**2.
z*(z - 1)**4
Let l be (-6)/9 + 17/3. Let i = -1 + l. Find u such that 12*u**4 - 5 + 12*u**3 - 12*u + i - 3*u**4 - 5*u**2 - 3 = 0.
-1, -2/3, 1
Factor 1/2*s**2 - 3/4 + 1/4*s**4 - s + s**3.
(s - 1)*(s + 1)**2*(s + 3)/4
Determine d, given that -12*d**2 + 31*d**2 - 17*d**2 + 4*d = 0.
-2, 0
Let x = 12 + -7. Find t such that 3 - 5 + x*t**2 - t**2 - 2*t = 0.
-1/2, 1
Let b(c) = -4*c**5 + 8*c**4 + 10*c**3 - 18*c**2 - 2*c + 10. Let w(l) = -l**3 + l**2 - l - 1. Let o(x) = b(x) + 2*w(x). Let o(i) = 0. What is i?
-1, 1, 2
Let a(c) be the second derivative of -c**4/24 - 5*c**3/6 - 25*c**2/4 + 58*c. Find z such that a(z) = 0.
-5
Let n(o) be the second derivative of 1/40*o**5 + 1/12*o**4 + 0*o**3 - 3*o + 0*o**2 + 0. Find t such that n(t) = 0.
-2, 0
Let y be (6 - 0)/((-15)/10). Let d be -3 + (y - (-46)/6). Let 0*x**3 + 0*x**2 - 2/3*x**5 - d*x**4 + 0 + 0*x = 0. What is x?
-1, 0
Factor 3*b**4 - 5*b**4 + 5*b + 2*b**2 - 35*b**5 - b + 37*b**5 - 6*b**3.
2*b*(b - 2)*(b - 1)*(b + 1)**2
Let c(b) = b**2 + 14*b + 15. Let s be c(-13). Let 8*h**3 + 4/7*h + 30/7*h**s + 0 = 0. Calculate h.
-2/7, -1/4, 0
Let i be (3 - 44)/((-4)/3). Let j = 31 - i. Determine a so that -1/4*a**3 + 0*a**2 + 0*a + 1/2*a**4 - j*a**5 + 0 = 0.
0, 1
Suppose -2*w = -3*w + 2. Find y, given that -3*y**2 + 3*y**4 + 6*y**3 - 6*y**4 - w*y + 2*y = 0.
0, 1
Suppose 4*f - 7*f + 9 = 0. Factor n**5 + n + 4*n - 10*n**2 - 5*n**4 + 0*n - 1 + 10*n**f + 0*n.
(n - 1)**5
Let x = 49/261 - -1/29. Let 4/9*c**2 - 2/9*c**4 - 2/9*c - x + 4/9*c**3 - 2/9*c**5 = 0. What is c?
-1, 1
Let a(l) be the third derivative of -l**8/6720 + l**7/3360 + l**6/1440 - l**5/480 - 5*l**3/6 + 5*l**2. Let f(y) be the first derivative of a(y). Factor f(x).
-x*(x - 1)**2*(x + 1)/4
Let q(v) be the second derivative of -v**5/300 + v**4/60 - v**3/30 + v**2/2 + 3*v. Let d(c) be the first derivative of q(c). Factor d(w).
-(w - 1)**2/5
Determine k, given that -108*k**2 - 3*k**5 - 39*k**4 + 121*k**3 - 1