 + 5. Factor -8*f**3 - 15*f**2 - 4*f - r*f**3 - 3*f**u.
-2*f*(f + 1)*(7*f + 2)
Let r(y) be the third derivative of y**5/20 - y**4/2 + 3*y**3/2 - 259*y**2. Factor r(q).
3*(q - 3)*(q - 1)
Let q(w) = 8*w**3 - 47*w**2 - 65*w + 357. Let f be q(6). Suppose 1/4*n**f - 5/4 - 9/4*n - 3/4*n**2 = 0. What is n?
-1, 5
Let d be 5/10*2 + 3. Solve -16/9*z**4 + d - 14/3*z - 20/9*z**2 + 2/9*z**5 + 40/9*z**3 = 0 for z.
-1, 1, 2, 3
Let n = 30 + -24. Let v be (-7 - -6) + 10/n. Determine o, given that v*o**5 + 4/3*o**2 - 10/3*o + 8/3*o**3 - 8/3*o**4 + 4/3 = 0.
-1, 1, 2
Factor 48*g**2 - 59*g**3 + 294 - 63*g**3 + 251*g**3 + 231*g - 65*g**3 - 61*g**3.
3*(g + 2)*(g + 7)**2
Let j(k) be the second derivative of k**4/12 + 5*k**3/3 + 3*k**2/2 + 4*k. Let f be j(-10). Solve -3*b**2 - 4*b**2 + 3*b**2 + b**f + 3*b**2 - b + 1 = 0.
-1, 1
Solve -16/11*v + 8/11 + 2/11*v**2 + 2/11*v**5 + 14/11*v**3 - 10/11*v**4 = 0 for v.
-1, 1, 2
Let q(s) = s**2 + 86*s - 4076. Let y be q(-120). Solve 0*l**3 + 3/7*l**y - 6/7*l**2 + 0*l + 3/7 = 0.
-1, 1
Let x(p) be the first derivative of -4*p**5/25 + p**4/5 + 4*p**3/5 - 2*p**2/5 - 8*p/5 + 113. Determine y so that x(y) = 0.
-1, 1, 2
Let n(r) be the first derivative of -r**6/120 - r**5/60 + 19*r**2 - 5. Let l(q) be the second derivative of n(q). Factor l(j).
-j**2*(j + 1)
Let n(l) be the second derivative of l**6/15 + 27*l**5/5 + 170*l**4 + 7514*l**3/3 + 14739*l**2 - 818*l. What is q in n(q) = 0?
-17, -3
Let v(j) be the third derivative of -28*j**2 + 3/5*j**5 + 1/40*j**6 + 0 + 0*j + 0*j**3 + 9/2*j**4. Solve v(f) = 0 for f.
-6, 0
Let z(q) = -5*q**2 + 63*q + 210. Let n(j) = 20*j**2 - 250*j - 840. Let m(s) = 4*n(s) + 15*z(s). Determine r, given that m(r) = 0.
-3, 14
Let c be 2 - ((-12)/(-4) - 9). Factor 80*i**2 + 76*i**2 - 152*i**2 + 4 - c*i.
4*(i - 1)**2
Let z = -136441/5 - -27299. Suppose 18/5*f**2 + 54/5 - 2/5*f**3 - z*f = 0. Calculate f.
3
Let b(a) be the first derivative of 2*a**6/3 - 8*a**4 + 8*a**3 + 14*a**2 - 24*a + 91. Suppose b(m) = 0. What is m?
-3, -1, 1, 2
Let a(g) be the first derivative of 11*g**3/3 - 7*g**2 - 12*g + 10. Let w(i) = -i**2. Let x(p) = a(p) + 5*w(p). Determine t, given that x(t) = 0.
-2/3, 3
Let a = 5929/25 + -237. Let g(b) be the first derivative of a*b**5 + 8/5*b - b**4 + 4 - 14/5*b**2 + 12/5*b**3. Factor g(q).
4*(q - 2)*(q - 1)**3/5
Let d(s) be the third derivative of s**5/60 - s**4/12 - 4*s**3/3 - s**2 - 101. Factor d(b).
(b - 4)*(b + 2)
Let k(d) be the first derivative of d**3/3 + d**2/2 - d - 11. Let z(r) = -5*r**2 - 5*r + 7. Suppose 6 = -6*q + 3*q. Let o(c) = q*z(c) - 6*k(c). Factor o(u).
4*(u - 1)*(u + 2)
Determine b so that 2 - 5*b - b**2 + 0*b**2 - 1 - 5 = 0.
-4, -1
Let x be 1/((-56)/(-4) - 13)*(0 + 0). Solve -3/4*v**2 + x*v + 3/4 = 0 for v.
-1, 1
Let j(k) be the second derivative of 7*k**6/165 - 3*k**5/11 + 29*k**4/66 - 2*k**3/11 + 5*k. What is n in j(n) = 0?
0, 2/7, 1, 3
Let -68/9 + 4*i**5 - 166/3*i**4 - 1666/9*i**2 - 1838/9*i**3 - 574/9*i = 0. What is i?
-2, -1/2, -1/3, 17
Let a(m) = 11*m**2 + 10*m**3 - 6*m**2 + 6*m + 3*m**2 + 6. Let g = -25 + 38. Let r(b) = -21*b**3 - 16*b**2 - 13*b - 13. Let c(d) = g*a(d) + 6*r(d). Factor c(j).
4*j**2*(j + 2)
Let k(t) be the third derivative of -t**6/120 - 8*t**5/3 - 2079*t**4/8 + 2187*t**3 + 761*t**2. Suppose k(f) = 0. Calculate f.
-81, 2
Let q(w) be the first derivative of w**6/120 + w**5/80 - w**4/48 - w**3/24 + 7*w + 6. Let u(b) be the first derivative of q(b). Let u(h) = 0. What is h?
-1, 0, 1
Let w(p) be the second derivative of 0*p**3 + 0 + 14*p - 2/15*p**6 + 1/5*p**5 + 2*p**4 + 0*p**2. Solve w(h) = 0 for h.
-2, 0, 3
Let b = 65/168 + -3/56. Let m(j) be the second derivative of 0 + 0*j**3 + b*j**2 - 1/18*j**4 + 5*j. Factor m(i).
-2*(i - 1)*(i + 1)/3
Let w be (-15)/(-10)*(-28)/(-6). Factor w*n + 14*n - 883*n**2 - 3*n + 880*n**2.
-3*n*(n - 6)
Let b = 485 - 480. Let f(x) be the second derivative of 0*x**2 + 1/30*x**6 + 0*x**3 - 1/126*x**7 + 0*x**4 + 0 - 1/30*x**b + 2*x. Factor f(u).
-u**3*(u - 2)*(u - 1)/3
Let k(t) be the first derivative of 3*t**5/5 - t**4/2 - t**3 + t**2 + 129. Suppose k(g) = 0. What is g?
-1, 0, 2/3, 1
Find u, given that 5*u**3 - 817*u - 30 - 805*u + 1587*u = 0.
-2, -1, 3
Let n(o) be the third derivative of o**5/50 + 2*o**4/5 + 3*o**3 + 2*o**2 + 25. Solve n(v) = 0.
-5, -3
Let m(h) be the third derivative of -h**6/30 - 22*h**5/15 - 20*h**4/3 - 193*h**2. Factor m(w).
-4*w*(w + 2)*(w + 20)
Let v(t) be the second derivative of -t**7/231 + 2*t**6/55 - 9*t**5/110 + 2*t**4/33 - t - 63. Factor v(i).
-2*i**2*(i - 4)*(i - 1)**2/11
Let v = 39 + -39. Let y(x) be the third derivative of 0*x**5 - 1/210*x**6 - 1/1176*x**8 + 0*x**3 - 1/245*x**7 + 0*x + v*x**4 - 5*x**2 + 0. Factor y(d).
-2*d**3*(d + 1)*(d + 2)/7
Factor -184 - 32 + 467*p + 193*p - 21*p**3 + 342*p**2.
-3*(p - 18)*(p + 2)*(7*p - 2)
Let z be (-35)/(-15) + (-1)/3. Let h = 865/4 - 216. Factor 1/2 - h*b**z + 1/4*b.
-(b - 2)*(b + 1)/4
Let u(g) be the second derivative of -5/12*g**4 - 5/3*g**3 + 0 - 5/2*g**2 - 10*g. Factor u(i).
-5*(i + 1)**2
Factor -3*k**2 + 13 + 4*k - k**3 - 3*k**3 - k**4 - 9.
-(k - 1)*(k + 1)*(k + 2)**2
Determine k, given that -1/7*k**2 - 9/7 + 10/7*k = 0.
1, 9
Let b be (-1 - -1)*3/9*3. Suppose -p + 13 - 9 = b. Let -10 - 2/5*y**2 - p*y = 0. Calculate y.
-5
Let q(p) = -15*p**4 + 35*p**3 + 19*p**2. Suppose 16*g - 9*g = 231. Let c(w) = 3*w**4 - 7*w**3 - 4*w**2. Let s(x) = g*c(x) + 6*q(x). Factor s(n).
3*n**2*(n - 3)*(3*n + 2)
Find c such that 29/3 - 31/6*c + 1/6*c**2 = 0.
2, 29
Let h = -2587 + 2587. Find m such that 4/7*m + 2/7*m**2 + h = 0.
-2, 0
Let a(p) be the first derivative of -p**4/2 + 122*p**3/3 + 62*p**2 + 336. Factor a(q).
-2*q*(q - 62)*(q + 1)
Factor 0*f**2 + 0*f - 3*f**3 - 1/2*f**5 + 0 + 5/2*f**4.
-f**3*(f - 3)*(f - 2)/2
Factor 23 - 10 + 23 - z - 22*z - 2*z**2 - 11*z.
-2*(z - 1)*(z + 18)
Suppose -5*k = -5*t - k - 331, -201 = 3*t - 3*k. Let x = t + 191/3. Factor 0*s**2 + 4/3*s**3 - 4/3*s + x*s**4 - 2/3.
2*(s - 1)*(s + 1)**3/3
Let g(p) be the first derivative of -3*p**4/28 + 19*p**3/7 + 30*p**2/7 - 72. Find l such that g(l) = 0.
-1, 0, 20
Suppose 66*s + 32 = 82*s. Factor -2/11*o**3 - 54/11*o + 18/11*o**s + 54/11.
-2*(o - 3)**3/11
Let o(p) be the second derivative of 2*p**7/7 + 8*p**6/15 - p**5/5 - 2*p**4/3 - 379*p. Factor o(d).
4*d**2*(d + 1)**2*(3*d - 2)
Let n(l) be the first derivative of 49 - 2/25*l**5 - 4/15*l**3 + 0*l**2 - 3/10*l**4 + 0*l. Suppose n(z) = 0. Calculate z.
-2, -1, 0
Let w(a) = -a**3 + a**2 + a - 4. Let z(q) = -6*q**3 + 48*q**2 - 176*q + 160. Let m(g) = 8*w(g) - z(g). What is y in m(y) = 0?
-24, 2
Suppose -d = -3*r + 44, 76 = 3*r + 2*r - d. Suppose r*f - 21*f = -10. Factor -3*b**2 - 2*b**2 - 1 + f*b**2 + 4.
-3*(b - 1)*(b + 1)
Factor 32*d + 292/7*d**2 + 44/7*d**4 + 64/7 + 172/7*d**3 + 4/7*d**5.
4*(d + 1)**3*(d + 4)**2/7
Let y be (-58)/(-4) + 8/(-16). Find o, given that 7*o**3 + 5*o - y*o**3 + 2*o**3 = 0.
-1, 0, 1
Let v(w) be the third derivative of 0 - 1/60*w**6 + 0*w - 13*w**2 - 5/12*w**4 + 2/15*w**5 + 2/3*w**3. Solve v(x) = 0.
1, 2
Let x(b) be the first derivative of 7*b**6/120 + b**5/20 + 7*b**3/3 + 13. Let t(h) be the third derivative of x(h). Factor t(n).
3*n*(7*n + 2)
Let d(a) = -a**3 - 1. Let k(z) be the first derivative of z**5 - 15*z**4 + 20*z**3 - 20*z**2 - 30*z - 5. Let p(o) = -30*d(o) + k(o). What is b in p(b) = 0?
0, 2
Let t(a) be the third derivative of a**5/10 - 31*a**4/32 + 15*a**3/4 + 2*a**2 - 194. Factor t(m).
3*(m - 2)*(8*m - 15)/4
Let g(p) = -3*p**3 + 2*p**2 + 5*p. Let c(z) = z**3 - z**2 - 2*z. Let j(x) = -14*c(x) - 4*g(x). Solve j(d) = 0.
-1, 0, 4
Suppose 46 = 4*a - 170. Let x be (-12)/a - (-76)/18. Factor -12*q + 8*q**5 + 36*q**2 + 6*q**4 - 3 - 3*q**3 + 10*q**5 - 3*q**3 - 39*q**x.
3*(q - 1)**3*(q + 1)*(6*q + 1)
Let r(l) = l**5 + l**3 - l**2 + l - 1. Let i(u) = -3*u**5 + 7*u**4 + 3*u**3 - 73*u**2 - 2*u + 2. Let g(k) = -3*i(k) - 6*r(k). Find n, given that g(n) = 0.
-3, 0, 5
Let j(u) = -6*u**2 + 45*u + 51. Let n(l) = -3*l**2 + 23*l + 26. Let x(f) = -4*j(f) + 9*n(f). Factor x(i).
-3*(i - 10)*(i + 1)
Let p(d) be the second derivative of 0*d**2 + 1/36*d**4 + 5*d + 1/9*d**3 + 0. Solve p(r) = 0.
-2, 0
Let l(u) be the third derivative of u**9/45360 - u**8/4032 + u**7/1080 - u**6/720 + u**4/2 + 13*u**2. Let n(s) be the second derivative of l(s). Factor 