the second derivative of r**6/1260 + r**5/420 - 2*r**3/3 - 10*r. Let u(c) be the second derivative of z(c). Factor u(q).
2*q*(q + 1)/7
Let s(c) = -c**2 - 39*c + 35. Let g(u) = u**2 - u + 1. Let n(h) = -5*g(h) - s(h). Determine r so that n(r) = 0.
1, 10
Let s(c) be the third derivative of -1/126*c**7 - 1/45*c**5 - 25/1008*c**8 + 2/45*c**6 + 0*c**3 + 0*c**4 - 12*c**2 + 0 + 0*c. Factor s(k).
-k**2*(k + 1)*(5*k - 2)**2/3
Let y(s) = -s**2 - 3*s + 7. Let i be y(-6). Let r = 14 + i. Factor p**2 + 4 - 3 + 3 + 2*p - r.
(p + 1)**2
Let f(z) be the third derivative of z**8/40320 + z**7/2520 + z**6/360 + z**5/90 - 41*z**4/24 - 8*z**2. Let v(r) be the second derivative of f(r). Factor v(p).
(p + 2)**3/6
Let c(x) be the second derivative of -x**6/225 + x**5/30 + 7*x**4/45 + 27*x - 1. Let c(y) = 0. What is y?
-2, 0, 7
Suppose 16 - 4*r**2 + 1/3*r**3 - 4/3*r = 0. What is r?
-2, 2, 12
Let h be 5/2 - (-4)/(-8). Let a(i) be the first derivative of -h + 1/2*i**4 + 5/4*i**2 - 1/2*i - 4/3*i**3. Find d, given that a(d) = 0.
1/2, 1
Let y(p) = 8*p**5 + 12*p**4 + 22*p**3 + 5*p**2 + 5*p - 5. Let t(h) = 15*h**5 + 24*h**4 + 42*h**3 + 9*h**2 + 9*h - 9. Let k(r) = 5*t(r) - 9*y(r). Factor k(o).
3*o**3*(o + 2)**2
Find d such that 435/8*d**3 + 129/8*d**4 + 3/2*d**5 + 471/8*d**2 + 93/8*d - 15/2 = 0.
-5, -4, -1, 1/4
Find o such that 2*o**4 + 5153*o**3 + 8*o - 5155*o**3 - o**2 - 11*o**2 + 16 = 0.
-2, -1, 2
Let z(h) be the third derivative of h**7/504 - h**6/144 - h**5/12 + 7*h**4/4 - 22*h**2. Let d(p) be the second derivative of z(p). Let d(l) = 0. Calculate l.
-1, 2
Let o(j) = -4*j + 2. Let c be o(3). Let h = c - -14. Factor 6 - 3 - h*i - 2*i**2 - 5.
-2*(i + 1)**2
Suppose f + 3*r = 5 + 10, 8 = -4*f + 5*r. Factor 2*q**f + 4 - 3*q**2 + 11*q**2 - 3*q - 7*q - 4*q**3.
-2*(q - 2)*(q - 1)**2
Let o(m) be the third derivative of -64/3*m**3 + 0 - 18*m**2 - 1/10*m**5 - 2*m**4 + 0*m - 1/480*m**6. Solve o(f) = 0.
-8
Let h = -69 + 85. Suppose -b - 7 = -h. Determine v so that -b*v**2 - 12 + 3/2*v**3 + 18*v = 0.
2
Let w be (5 - (3 + -1))*(-8)/(-15). Let f = -14/15 + w. Factor 0*p + 2/3*p**2 - 1/3*p**3 - f*p**4 + 0 + 1/3*p**5.
p**2*(p - 2)*(p - 1)*(p + 1)/3
Let w(r) be the first derivative of r**3 + 15*r**2/2 - 18*r + 383. Factor w(b).
3*(b - 1)*(b + 6)
Let d = -983/177 - -426/59. Let -2/3*y**2 + 5/3*y**3 + 2/3*y**4 - d*y**5 + 0 + 0*y = 0. Calculate y.
-1, 0, 2/5, 1
Let z = -78 + 97. Suppose -43 = -z*f + 14. Suppose 1/3*i + 8/3*i**2 + 0 + 8*i**4 + f*i**5 + 22/3*i**3 = 0. What is i?
-1, -1/3, 0
Suppose 5*q = -20 - 0. Let g be (1 - 3) + (1 - q). What is l in 11*l + 2*l**g - 2*l - 11*l = 0?
-1, 0, 1
Suppose -1/4*w**2 + 5/2*w - 25/4 = 0. Calculate w.
5
Suppose -3*s = -8*s - r + 1390, -r = -3*s + 826. Let b = 1945/7 - s. Solve 2/7*k**2 + b + 8/7*k = 0 for k.
-3, -1
Suppose -24 + 16 = -4*w. Let v(k) be the third derivative of 0*k**4 - 1/120*k**5 + 0*k**3 + 2*k**w + 0 + 0*k. Solve v(b) = 0 for b.
0
Let q(j) be the first derivative of -1/30*j**4 + 7 + 0*j**3 + 1/15*j**2 + 0*j. Factor q(k).
-2*k*(k - 1)*(k + 1)/15
Suppose 48*b - 2 = 47*b. Let 7*p - 3*p**2 + p - 7 - b*p + 16 = 0. What is p?
-1, 3
Let o(z) be the third derivative of -z**7/210 - z**6/15 - 3*z**5/10 - 2*z**4/3 - 5*z**3/6 - z**2 - 49. Factor o(f).
-(f + 1)**3*(f + 5)
Let h be 0*(-12)/(-36)*1/(-3). Let l(r) be the first derivative of -6 - r**3 + h*r**4 + 3/5*r**5 + 0*r + 0*r**2. Find x, given that l(x) = 0.
-1, 0, 1
Solve -70*y**2 + 431*y**5 - 2 + 2 + 40*y**4 - 888*y**5 + 452*y**5 - 25*y**3 = 0.
-1, 0, 2, 7
Suppose -o + 12 + 9 = 0. Factor m**5 - 29 + o - 4*m + 17*m**2 + m**3 - 4*m**4 - 7*m**2.
(m - 2)**3*(m + 1)**2
Let c(b) be the first derivative of b**6/30 - 8*b**5/25 - b**4/10 + 16*b**3/15 + b**2/10 - 8*b/5 + 113. Determine d, given that c(d) = 0.
-1, 1, 8
Solve j - 21*j**4 + 5*j**3 + 17*j - 86*j**2 - 59*j**3 + 71*j**2 = 0 for j.
-2, -1, 0, 3/7
Let r(h) be the first derivative of 2*h**3/3 - 18*h**2 + 34*h + 431. Find o, given that r(o) = 0.
1, 17
Suppose -44 = -2*s + 5*b, b - 36 = 2*s - 3*s. Let y = -220/7 + s. Solve 8/7*u**2 - y*u + 0 - 5/7*u**3 + 1/7*u**4 = 0.
0, 1, 2
Let t be ((-126)/(-135))/(-14) + 78/45. Let 1/3*p**3 + 8/3*p + t*p**2 + 4/3 = 0. What is p?
-2, -1
Factor 19*f**3 - 15 + 16*f**3 - 13*f + 3*f**2 - 49*f**3 + 15*f**3.
(f - 3)*(f + 1)*(f + 5)
Let g(o) = -14*o**2 - 44*o + 6. Let u(n) = n + 2 - 1 + 0*n. Suppose k + 19 = r + 4*r, -4*k + r = 0. Let w(v) = k*g(v) + 6*u(v). Solve w(s) = 0.
-3, 2/7
Suppose y + 2 = 7. Let 8*m**4 - 1182*m + 1182*m + 4*m**2 + 10*m**3 + 2*m**y = 0. Calculate m.
-2, -1, 0
Factor 0*f - 5*f + 973*f**2 - 977*f**2 - 3*f.
-4*f*(f + 2)
Let r be (171/21 - 7) + 286/154. Determine h so that 1/2*h**2 - r + 1/2*h = 0.
-3, 2
Let k(q) = q + 34. Let y be k(-31). Let u(i) be the second derivative of 2/55*i**5 + 1/165*i**6 + 1/11*i**4 + 5*i + 0 + 1/11*i**2 + 4/33*i**y. Factor u(c).
2*(c + 1)**4/11
Let f be (5/8)/((-1)/68). Let g = 43 + f. Determine t, given that 0 + 0*t**2 - g*t**5 + t**3 - 1/2*t**4 + 0*t = 0.
-2, 0, 1
Let k be (-30)/(-75) - 2/5. Suppose -3*q = -o - 10, 9*o - 6*o - 2*q + 2 = k. Solve -1/8 + 1/8*h + 5/8*h**o + 3/8*h**3 = 0.
-1, 1/3
Let x = -62 + 65. Factor 32 + 37*q + 27*q**3 + 11*q + 25*q**3 + 24*q**2 - 48*q**x.
4*(q + 2)**3
Let t(i) be the first derivative of i**6/24 + 29*i**5/5 + 1739*i**4/8 + 551*i**3 + 3249*i**2/8 - 681. Factor t(k).
k*(k + 1)**2*(k + 57)**2/4
Let j(n) be the first derivative of 0*n - 2/65*n**5 - 2 + 3/26*n**4 + 6/13*n**3 + 5/13*n**2. Let j(x) = 0. Calculate x.
-1, 0, 5
Let v(q) = 2*q**4 - 6*q**3 + 4*q**2 + 4*q + 4. Let u(p) = p**4 - p**3 + p + 1. Let x(n) = 4*u(n) - v(n). Factor x(w).
2*w**2*(w - 1)*(w + 2)
Let c be 5/(-1)*-1*2/5. Let k be (c - 2)/(-3)*(-9)/(-18). Determine h so that 1/2*h**3 + k + 1/2*h + h**2 = 0.
-1, 0
Let j(s) be the first derivative of s**3/21 + s**2/7 + s/7 + 70. Solve j(c) = 0.
-1
Let d = 168 - 157. Suppose -f - 2 = -2*q, d*f - 3*q = 10*f - 4. Factor -1/4 - 1/2*r - 1/4*r**f.
-(r + 1)**2/4
Suppose 0 = -4*b + i + 9, 5*b - 3*i = 2*b + 9. Suppose -4*r - 3 = 3*c + 8, b*c + 4 = -2*r. Factor -14*a**4 - 16 - 30*a**3 - 54*a**2 - 24*a - 2*a + 12 - 16*a**c.
-2*(a + 1)**3*(7*a + 2)
Factor 0*h**2 + 2/3*h**5 + 20/3*h**4 + 0*h + 0 + 50/3*h**3.
2*h**3*(h + 5)**2/3
Let j(r) = 3*r**4 - 5*r**3 - 9*r**2 - 15*r - 6. Let s(f) = 15*f**4 - 27*f**3 - 45*f**2 - 75*f - 30. Let v(d) = -21*j(d) + 4*s(d). Find m such that v(m) = 0.
-1, 2
Let m(b) be the third derivative of b**6/120 - 7*b**5/30 - b**4/6 + 28*b**3/3 + 36*b**2. Let m(k) = 0. What is k?
-2, 2, 14
Let b be (22/8 - 3)/(30/(-40)). Let l be (2/(-6))/(1/(-9)). Factor 1/3*u**l - 1/3*u**2 + 0 - b*u**5 + 0*u + 1/3*u**4.
-u**2*(u - 1)**2*(u + 1)/3
Let q(s) = -2*s**3 - 3*s**2 - s + 3. Let v be q(-1). Let t(p) be the first derivative of -3/14*p**2 + 1/7*p**v + 7 + 0*p. Let t(x) = 0. What is x?
0, 1
Let h(l) = -l**3 + l**2 - l - 9. Let w be h(-7). Let b = 573 - w. Solve -3*c - 3*c**5 + 6*c**3 - b*c**2 + 183*c**2 = 0.
-1, 0, 1
Factor 5/2*x**5 + 0*x + 0 + x**3 + 0*x**2 - 7/2*x**4.
x**3*(x - 1)*(5*x - 2)/2
Suppose -5*p = -m - 51, -3*m - p = -6*p + 163. Let v = m - -58. Factor -1/6*z**5 + 1/3*z**4 + 0*z + 0*z**v - 1/6*z**3 + 0.
-z**3*(z - 1)**2/6
Let o(b) be the second derivative of -b**4/12 + 7*b**3/6 - 3*b**2 + 142*b. Factor o(r).
-(r - 6)*(r - 1)
Let i(f) be the first derivative of -f**6/180 - f**5/30 - f**4/12 - 8*f**3/3 - 27. Let a(r) be the third derivative of i(r). What is s in a(s) = 0?
-1
Find h such that -2/3*h**5 + 24*h**3 + 76/3*h**2 + 20/3*h**4 + 0 + 26/3*h = 0.
-1, 0, 13
Let v = 19 + -16. What is c in -1 + v - 14*c**2 + 10*c + 9*c**2 + 13*c**2 = 0?
-1, -1/4
Suppose -5*n = -2*n + 4*z - 29, -2*n + 1 = -z. Let y be 5/15 - (-5)/n. Let 63*i - 63*i + i**y = 0. Calculate i.
0
Let b(q) be the first derivative of -q**6/3 - 8*q**5/5 - 3*q**4/2 + 8*q**3/3 + 4*q**2 + 759. Solve b(x) = 0.
-2, -1, 0, 1
Let n(f) be the first derivative of 1/27*f**6 - 1/9*f**2 + 0*f + 4/27*f**3 + 0*f**4 - 4/45*f**5 + 36. Let n(m) = 0. Calculate m.
-1, 0, 1
Let f(h) be the third derivative of 0*h**3 + 1/168*h**8 + 1/60*h**5 + 3*h**2 - 1/60*h**6 + 0*h**4 + 0*h + 0 - 1/210*h**7. Factor f(k).
k**2*(k - 1)*(k + 1)*(2*k - 1)
Find k such that 1/4*k**4 + 5/4*k**3 + 1/2 + 9/4*k**2 + 7/4*k = 0.
-2, -1
Let k(s) be the first derivative of 0*s + 0*s**2 + 5 + s**4 - 4/3*