4 - -373/1034. Factor 6/11*v + 0*v**2 - b - 2/11*v**3.
-2*(v - 1)**2*(v + 2)/11
Let d(k) be the third derivative of k**5/360 - 5*k**4/72 + 4*k**3/9 + 51*k**2. What is z in d(z) = 0?
2, 8
Let l(p) be the second derivative of p**7/280 + 3*p**6/160 - p**4/8 - 21*p**2/2 + 3*p. Let v(j) be the first derivative of l(j). Factor v(h).
3*h*(h - 1)*(h + 2)**2/4
Let v(m) = -m + 1. Let c be -4*(-1 + (-3)/(-6)). Let s(b) = -3*b**3 + b**2 - 8*b + 10. Suppose 0 = -3*d - 44 - 22. Let f(w) = c*s(w) + d*v(w). Factor f(z).
-2*(z - 1)*(z + 1)*(3*z - 1)
Suppose 0 = -s + 3*y + 13, -5*y = 5*s - 0 - 5. Let t be -1*2*(s + (-275)/66). Determine d, given that -t*d**3 + 1/3*d + 1/3*d**2 - 1/3 = 0.
-1, 1
Factor 4/3*z**3 + 5/3*z**4 - 16/3*z**2 - 16/3 + 1/3*z**5 - 32/3*z.
(z - 2)*(z + 1)*(z + 2)**3/3
Factor -1151*j - 2*j**2 + 103*j + 62935 - 200223.
-2*(j + 262)**2
Factor s**2 + 0*s**2 + 10 - 5 - 6*s**2.
-5*(s - 1)*(s + 1)
Let p(w) = w**2 - w + 12. Let f be p(5). Let d be 72/f + 1*-2. Suppose 0*y + 1/4*y**2 - d = 0. What is y?
-1, 1
Let n(o) be the first derivative of o**7/840 - o**6/180 - o**5/120 + o**4/12 - 5*o**3/3 + 12. Let h(k) be the third derivative of n(k). What is w in h(w) = 0?
-1, 1, 2
Let k(n) be the first derivative of -n**6/51 - 2*n**5/17 + 9*n**4/34 + 54*n**3/17 + 108*n**2/17 - 3. Factor k(h).
-2*h*(h - 4)*(h + 3)**3/17
Suppose -5*d + 690 = 5*b, 2*b - 147 = 2*d + 125. Find r, given that -145 + 17*r**3 - 36*r**2 - 4*r**4 + 28*r + 3*r**3 + b = 0.
1, 2
Let z be 2/19 + (-2100)/(-1710). Factor z*h + 2/3*h**2 + 0.
2*h*(h + 2)/3
Let j be ((-7)/6)/((-21)/14). Let g(b) be the second derivative of -j*b**3 - 6*b - 5/18*b**4 + 0 - b**2 - 1/30*b**5. Let g(o) = 0. Calculate o.
-3, -1
Let q(i) = -2*i**3 - 51*i**2 + 12*i - 362. Let s be q(-26). Let 12/7*g**s - 2/7*g**4 - 16/7 + 8/7*g - 2/7*g**3 = 0. What is g?
-2, 1, 2
Solve 2/5*l**2 + 4*l + 10 = 0.
-5
Let w = -62 + 63. Suppose 3*l - 2*l - 1 = f, w = 5*l - f. Find s such that -1/4*s + l - 1/4*s**2 = 0.
-1, 0
Let o(y) = -y**2 + 2*y + 7. Let w(c) = -8*c**2 + 156*c - 116. Let k(i) = -4*o(i) + w(i). Factor k(d).
-4*(d - 36)*(d - 1)
Let -33/2*d**2 + 3/4*d**3 - 150 + 105*d = 0. Calculate d.
2, 10
Let r be 3/((-4)/(-14)*(-6)/(-4)). Factor -859*m**3 + 871*m**3 + 4*m**4 - 9*m - r*m.
4*m*(m - 1)*(m + 2)**2
Let 36*k**3 + 18*k**3 - 16*k**3 - 5*k - 72*k**2 - 3*k = 0. What is k?
-2/19, 0, 2
Factor 0 - 32/7*w + 4/7*w**2.
4*w*(w - 8)/7
Suppose 0*a**2 - 17*a + 19 - a**2 - 11 + 19*a - 2*a**2 = 0. What is a?
-4/3, 2
Factor 754*b**4 - 64*b**3 + 738*b**4 + 4*b**5 - 64*b**2 - 1476*b**4 + 192*b.
4*b*(b - 2)**2*(b + 2)*(b + 6)
Let i(x) be the third derivative of x**8/84 + x**7/105 - x**6/15 - x**5/15 + x**4/6 + x**3/3 - 42*x**2. What is y in i(y) = 0?
-1, -1/2, 1
Let z(u) = -4*u**3 + 12*u**2 - 4*u + 4. Let l(n) = 4*n**3 - 16*n**2 + 5*n - 5. Let g(h) = -4*l(h) - 5*z(h). Let g(f) = 0. What is f?
-1, 0
Suppose -51 = -44*z + 81. Factor -3/4*o**2 + 3/4*o + 3/4*o**4 - 3/4*o**z + 0.
3*o*(o - 1)**2*(o + 1)/4
Let n(w) = -w**2 + 5*w + 6. Let m be n(0). Let g(v) be the first derivative of 0*v + 1/6*v**2 - m + 1/6*v**3 - 1/30*v**5 + 0*v**4. Factor g(i).
-i*(i - 2)*(i + 1)**2/6
Suppose -180 = -3*u + 3*z, -55 = 2*u + 3*z - 190. Let t = u - 61. What is c in 0 + 1/4*c**4 - 1/4*c**t + 0*c + 1/4*c**3 - 1/4*c**5 = 0?
-1, 0, 1
Let c be (0 + 180/(-25))*-10. What is a in 437*a**4 + 80*a**3 - 21 + 60*a**5 + 5 - 285*a**4 - 76*a - c*a**2 = 0?
-1, -1/3, 4/5
Let c be -3*2/27*-15. Suppose 7*y = 3*y + 12. Determine q so that 22/3*q**2 + 14/3*q + c*q**y + 2/3 = 0.
-1, -1/5
Let l = 113474/3 - 37818. What is f in -l*f + 8*f**2 - 4*f**3 + 2 + 2/3*f**4 = 0?
1, 3
Factor 5/3*r**2 + 0 + 0*r + 1/3*r**3.
r**2*(r + 5)/3
Let z(j) = -3*j**2 + 43*j - 187. Let p(q) = -3*q**2 + 42*q - 186. Let y(u) = -5*p(u) + 6*z(u). Factor y(i).
-3*(i - 8)**2
Suppose -14*w + 16*w = 18. Let 12 + 11*b**2 - w*b**2 - 13*b + 3*b = 0. Calculate b.
2, 3
Let z(u) be the second derivative of -2*u**6/15 + 6*u**5 - 100*u**4 + 2000*u**3/3 + 27*u. Factor z(y).
-4*y*(y - 10)**3
Let b = -2269/5 - -454. Find f, given that -f + b*f**2 + 3/5 + 1/5*f**3 = 0.
-3, 1
Suppose -17 - 3 = -5*x. Let g be -6 + (-186)/(-20) - 2/x. Factor 4/5 - 2*o**2 - 8/5*o**3 + g*o.
-2*(o - 1)*(o + 2)*(4*o + 1)/5
Determine i so that -5/2*i**3 - 1/4*i**4 + 0*i - 9/4*i**2 + 0 = 0.
-9, -1, 0
Let i = -243 + 243. Let b(z) be the third derivative of -1/40*z**6 + 1/5*z**5 - 4*z**2 + i*z + 0*z**3 + 0 - 1/2*z**4. Let b(x) = 0. What is x?
0, 2
Let b(x) be the first derivative of 3*x**5/35 - 12*x**4/7 + 72*x**3/7 - 1296*x/7 - 412. Let b(t) = 0. What is t?
-2, 6
Let i(m) be the first derivative of 5*m**4/36 + m**3/9 + 12*m + 19. Let o(j) be the first derivative of i(j). Factor o(h).
h*(5*h + 2)/3
Let b(h) be the first derivative of 2*h**3/39 - h**2/13 - 4*h/13 + 77. Let b(q) = 0. What is q?
-1, 2
Let n = -8705/12 + 2177/3. Factor 0 - n*f**2 - f.
-f*(f + 4)/4
Let j be (-15 + 17)*((-15)/48)/(2/(-24)). Determine w so that 1/4*w**2 + 7/4*w**4 + j*w - 2 - 15/2*w**3 = 0.
-1, 2/7, 1, 4
Let n(k) be the second derivative of k**4/24 - 13*k**3/6 - 27*k**2/4 + 92*k. Factor n(j).
(j - 27)*(j + 1)/2
Let v be (-12)/(-74 - -14) + (-4)/(-10). Determine j, given that v*j**2 + 6/5*j - 9/5 = 0.
-3, 1
Suppose -3*r = 5 - 20. Factor 0*j**2 - 2*j**2 + 4*j - r*j - 5*j + 8.
-2*(j - 1)*(j + 4)
Suppose 5*i + h = 11, 91*i + 4*h = 93*i. Factor 2/5*v**5 + 6/5*v**2 + 2/5*v**4 + 0 + 0*v - i*v**3.
2*v**2*(v - 1)**2*(v + 3)/5
Let v(o) be the second derivative of o**7/21 + o**6/2 + 43*o**5/20 + 29*o**4/6 + 6*o**3 + 4*o**2 - 2*o - 280. Factor v(m).
(m + 1)*(m + 2)**3*(2*m + 1)
Let w = -6445 + 6451. Factor 16/9 - 88/9*l - 18*l**3 + w*l**4 + 20*l**2.
2*(l - 1)*(3*l - 2)**3/9
Let s(w) be the first derivative of -75*w**6/2 - 45*w**5/2 - 5*w**4 - 4*w**3/9 + 4*w + 28. Let l(z) be the first derivative of s(z). Factor l(o).
-o*(15*o + 2)**3/3
Let c(w) be the third derivative of -w**5/4 - 43*w**4/24 + w**3 + 5*w**2 + 30*w. Solve c(k) = 0.
-3, 2/15
Find s, given that -s**5 - 48*s - 44*s**2 + 2*s**3 + 13*s**3 - s**5 - s**3 + 0*s**3 + 8*s**4 = 0.
-2, -1, 0, 3, 4
Let q be ((-2)/(-4))/((-4)/(-4432)). Let u = q + -3860/7. Factor u + 12/7*n + 2/7*n**2.
2*(n + 3)**2/7
Let j(f) be the second derivative of f**4/21 - 10*f**3/3 + 68*f**2/7 - 27*f. What is c in j(c) = 0?
1, 34
Let n(h) be the second derivative of 10/3*h**3 + 0 + 1/6*h**6 + 20*h - 20*h**2 + 5/2*h**4 - 5/4*h**5. Factor n(t).
5*(t - 2)**3*(t + 1)
Let 129*c**2 - 897*c - 52 - 74 - 348*c**3 + 33*c**4 + 1245*c**3 - 36 = 0. Calculate c.
-27, -1, -2/11, 1
Let d(v) be the third derivative of -v**6/120 - v**5/12 - v**4/8 + 3*v**3/2 + 44*v**2. Determine m, given that d(m) = 0.
-3, 1
Let z(o) be the first derivative of -1/15*o**3 - 4/5*o - 19 + 2/5*o**2. Factor z(y).
-(y - 2)**2/5
Factor -21*v + 24*v**2 + 66*v**3 + 0*v**2 + v - 70*v**3.
-4*v*(v - 5)*(v - 1)
Suppose 0 = 4*j + p - 15, -2*p - 4 + 1 = -3*j. Solve 9*a**5 + 4*a**4 - 5*a**5 + 8*a - 10*a**3 - 4*a**2 + 0*a**5 - 2*a**j = 0 for a.
-2, -1, 0, 1
Let u = 811 - 20279/25. Let y = 13/75 - u. Solve 0*n**2 - n**3 + 0*n + 0 + y*n**4 = 0.
0, 3
Let n be ((-93)/(-45) + -2)/((-14)/(-462)). Factor 2*i - n*i**2 - 3/5 + 4/5*i**3.
(i - 1)**2*(4*i - 3)/5
Let g(r) be the third derivative of 0 - 1/160*r**6 - 14*r**2 + 1/12*r**4 + 1/24*r**5 + 0*r + 0*r**3. Factor g(y).
-y*(y - 4)*(3*y + 2)/4
Let y(n) = -3*n**5 - 3 + 6*n**3 + 5*n**4 + 6*n**5 + n**4. Let m(k) = 6*k**5 + 12*k**4 + 11*k**3 - 5. Let v(f) = 3*m(f) - 5*y(f). Factor v(c).
3*c**3*(c + 1)**2
Let y(q) = -q + 17. Let z be y(7). Let c(k) = k**3 - 2. Let r(p) = 2*p**3 - 5. Let i be -3 + (3/(9/6))/(-2). Let o(h) = i*r(h) + z*c(h). Factor o(n).
2*n**3
Let r(l) be the second derivative of l**5/12 - 5*l**4/4 - 3*l**2 - 5*l. Let y(v) be the first derivative of r(v). What is k in y(k) = 0?
0, 6
Suppose -5*h = -4*u - 4, 3*h + 18*u = 13*u + 32. Suppose b - 3*b + 8 = 0. Let 4*l**3 + 13*l**b + 4*l**2 + 0*l - 17*l**h - 4*l = 0. What is l?
-1, 0, 1
Let t(m) = -2*m**2 + 14*m + 19. Let l be t(8). Solve -r**2 + 8 + l*r**2 - 2*r**2 - 2*r**2 = 0.
-2, 2
Let q(v) be the third derivative of v**5/240 - v**4/32 + v**3/12 + v**2 - 7. Factor q(b).
(b - 2)*(b - 1)/4
Suppose -13*n + 150 = -2*n + 4*n. Determine o, given that -116/7*o**2 + 150/7*o**4 + n*o**3 - 88/7*o - 16/7 = 0.
-2/3, -2/5, 1
Suppo