1056/7. Solve -6/7 - x*v + 24/7*v**2 - 9/7*v**3 = 0.
-1/3, 1, 2
Suppose 1/6*a**4 - 4/3*a**3 - 11/3*a + 0 - 31/6*a**2 = 0. What is a?
-2, -1, 0, 11
Let f(d) be the third derivative of 2*d**7/105 - 7*d**6/30 - 16*d**5/15 + 56*d**4/3 - 355*d**2. Factor f(n).
4*n*(n - 7)*(n - 4)*(n + 4)
Let i(x) = -13*x**2 + 214*x - 556. Let p(k) = k**2 + 2*k + 4. Let r(b) = -2*i(b) - 30*p(b). Suppose r(v) = 0. What is v?
-124, 2
Suppose 3*j + 70 = 79. Factor -3*a**4 - 6*a**3 - 2*a**5 + 12*a**j - 7*a**5.
-3*a**3*(a + 1)*(3*a - 2)
Let u(x) be the third derivative of x**7/280 + x**6/120 - 9*x**5/40 - 9*x**4/8 + 115*x**3/6 - x**2 + 7*x. Let h(l) be the first derivative of u(l). Factor h(s).
3*(s - 3)*(s + 1)*(s + 3)
Let r(x) be the first derivative of -9 - 32000*x - 39 - 80*x**3 - x**4 - 2400*x**2 + 147. Factor r(t).
-4*(t + 20)**3
Let p be (-178)/(-16) + 3*1/(-24). Find t, given that -7*t + 3*t + p*t + 30*t**2 - 8*t**3 + t = 0.
-1/4, 0, 4
Let t = 5 - -13. Determine y so that 37 + t*y - 30*y - 157 + 0*y**2 + 5*y**2 + 22*y = 0.
-6, 4
Suppose 313/12*p**3 + 59/12*p**4 + 445/12*p**2 + 0 - 1/12*p**5 + 16*p = 0. What is p?
-3, -1, 0, 64
Let s(p) be the third derivative of -p**5/3 - 44*p**4 + 106*p**3/3 - 2556*p**2. Factor s(d).
-4*(d + 53)*(5*d - 1)
Determine n so that 0 - 125/2*n + 135/4*n**2 - 5/4*n**3 = 0.
0, 2, 25
Let a(t) = -3*t**2 + 30*t - 3. Let v be a(17). Let m = -719/2 - v. Factor m*x**2 + 5*x + 25/2.
(x + 5)**2/2
Let q be (-2)/5 - 6262/(-155). Factor -21*c**2 + 14 + 19*c**2 - 72 + 28*c - q.
-2*(c - 7)**2
Let l(c) be the third derivative of c**9/120960 - c**8/8064 + c**7/2520 + c**5/30 - 45*c**4/8 - 13*c**2. Let v(m) be the third derivative of l(m). Factor v(g).
g*(g - 4)*(g - 1)/2
Let d = 18028 + -18013. Let g(p) be the first derivative of 3/5*p**5 - p**3 + 3*p**2 + 0*p - 3/2*p**4 + d. Determine y so that g(y) = 0.
-1, 0, 1, 2
Let x = 692 + -692. Let d(m) be the third derivative of 0*m**3 + 0*m**6 - 1/735*m**7 + 0 + x*m + 0*m**4 + 1/210*m**5 - 5*m**2. Determine v so that d(v) = 0.
-1, 0, 1
Let x(b) be the first derivative of -2*b**7/21 + 2*b**5 - 6*b**3 + 88*b + 109. Let t(n) be the first derivative of x(n). Determine a so that t(a) = 0.
-3, -1, 0, 1, 3
Let t(o) be the first derivative of o**7/1260 - o**6/360 + o**4/72 - o**3/36 + 33*o**2/2 - 46. Let f(u) be the second derivative of t(u). Factor f(d).
(d - 1)**3*(d + 1)/6
Let g be 0 + (29 - (-1368)/(-48)). Determine d so that -1/2*d**2 - d + 0 + g*d**4 + d**3 = 0.
-2, -1, 0, 1
Let t(k) be the third derivative of 61*k**2 - 8/105*k**7 + 0*k**4 + 0*k + 0*k**3 + 1/10*k**6 + 0 + 1/15*k**5. Factor t(a).
-4*a**2*(a - 1)*(4*a + 1)
Solve -179 - 753*a**2 - 814*a**2 - 1207 - 3*a + 1570*a**2 = 0 for a.
-21, 22
Let c(u) = -3*u**5 + 29*u**4 + u**3 - 503*u**2 - 1241*u - 938. Let d(j) = -2*j**5 + 14*j**4 - 252*j**2 - 620*j - 472. Let q(x) = -4*c(x) + 7*d(x). Factor q(t).
-2*(t - 4)*(t + 2)**3*(t + 7)
Let l(c) = 4*c**2 + 6*c - 3. Let q(h) = 7*h**2 + 11*h - 5. Let z(a) = 5*l(a) - 3*q(a). Let p be z(-3). Determine m so that -121 + 85 - 12*m + p*m**2 - m**2 = 0.
-6
Let v = 31 + -90. Let d = 25 - v. Factor -88*x + d*x - 4*x**3 + 5*x**3.
x*(x - 2)*(x + 2)
Let p(y) = -y**4 - 4*y**3 + y - 41. Let k(u) = u + 1. Let c(x) = -k(x) + p(x). Let v(n) be the first derivative of c(n). Determine m so that v(m) = 0.
-3, 0
Factor -880*j + 1968 - 3*j**3 + 1407*j + 1242*j + 1411*j + 975*j**2 - 234*j.
-3*(j - 328)*(j + 1)*(j + 2)
Let i be 190880/600 - 4/30. Let d = i - 952/3. Determine k so that 10/3*k**4 + 0 - 8/3*k**3 - 4/3*k**5 + d*k**2 + 0*k = 0.
0, 1/2, 1
Let m be 7 + 0 + -10*(-7)/(-14). Factor 9*p + 3 - 2*p**2 - 6*p**2 + 3*p**3 + 12*p**2 + 5*p**m.
3*(p + 1)**3
Suppose -3*s = -s - 10. Let b(f) = 30*f**3 - 10*f**2 - 25*f + 5. Let a(p) = -45*p**3 + 15*p**2 + 37*p - 7. Let w(l) = s*a(l) + 8*b(l). Let w(o) = 0. What is o?
-1, 1/3, 1
Let n(z) = -z**3 - 11*z**2 - z + 4. Let s be n(-11). Let y be (-2 - -1)/(s/(-120)). Solve 52*h + 27*h**2 + y*h + 9 - 6 + 9 = 0 for h.
-2, -2/9
Let a be (2/3)/(22/18 + -1). Solve -185 - i - a*i + i**2 + 189 = 0.
2
Let i = -55 - -64. Let b be i*((-6)/(-9))/2. Factor 16*h - 16 - 70*h**b + 112*h**3 - 58*h**3 + 12*h**2 + 4*h**4.
4*(h - 2)**2*(h - 1)*(h + 1)
Let a(z) be the third derivative of -1/30*z**5 + 0*z**3 + 0*z + 0 + 66*z**2 + 1/16*z**4 - 1/630*z**7 - 11/720*z**6. Factor a(h).
-h*(h + 3)**2*(2*h - 1)/6
Let f(p) = p**2 + 9*p - 16. Let i be f(-11). Suppose -2*w = -i*w. Factor 0*q**2 - 6*q**4 + w*q**2 + q**4.
-5*q**4
Let b(g) be the second derivative of -g**6/1800 - 11*g**5/600 - g**4/12 - 34*g**3/3 + 15*g - 1. Let a(w) be the second derivative of b(w). Factor a(k).
-(k + 1)*(k + 10)/5
Let l(q) = 2*q**4. Let r(c) = -102*c**4 + 1232*c**3 - 4208*c**2 + 2112*c - 288. Let b(m) = -2*l(m) - r(m). Factor b(g).
2*(g - 6)**2*(7*g - 2)**2
Let y(p) be the first derivative of -5*p**4/4 + 40*p**3/3 + 115*p**2/2 - 150*p - 1498. Factor y(k).
-5*(k - 10)*(k - 1)*(k + 3)
Let i(w) be the first derivative of 0*w**2 - 4 + 0*w + 3/8*w**4 + 13/3*w**3 + 1/360*w**6 + 1/20*w**5. Let r(k) be the third derivative of i(k). Factor r(j).
(j + 3)**2
Let n be ((-28)/392)/((-1)/7). Let y(g) be the second derivative of n*g**5 + 2/15*g**6 + 0*g**2 + 1/3*g**3 + 0 + 10*g + 2/3*g**4. Factor y(q).
2*q*(q + 1)**2*(2*q + 1)
Let d be 44/10 - 22/55. Factor 3*i**5 + 158340015*i - 605*i**4 + 350*i**d - 1805076171 - 600*i**4 - 5555790*i**2 + 97470*i**3.
3*(i - 57)**5
Determine t so that 6*t**3 - 192/23*t**2 + 70/23*t + 0 - 16/23*t**4 = 0.
0, 5/8, 1, 7
Let u(n) = 15*n**2 - 9*n**2 - 23*n - 7*n**2 + 8. Let d be u(-11). Factor -42 + d - 2*r + 2*r**2 + 17*r + 13*r.
2*(r + 7)**2
Let g be (1/6*-5)/((-4350)/1566). Factor 0 + 0*v + 1/10*v**3 - g*v**2.
v**2*(v - 3)/10
Factor -12977172/7*c + 1/7*c**4 + 12812904/7 - 703/7*c**3 + 164970/7*c**2.
(c - 234)**3*(c - 1)/7
Factor 27/2*i + 21/2*i**2 + 1/8*i**4 - 23/8*i**3 + 0.
i*(i - 18)*(i - 6)*(i + 1)/8
Let b be 3*((-32)/(-4))/(4 + 2). Factor -b*o**2 + 27*o + 30*o - 33*o - 4*o**3.
-4*o*(o - 2)*(o + 3)
Suppose -27*z + 9900 = -12*z. Let o be -15*(-24)/z*4/6. Factor -2/11*u - 2/11*u**5 - 4/11*u**2 + 2/11 + o*u**3 + 2/11*u**4.
-2*(u - 1)**3*(u + 1)**2/11
Let h(t) be the second derivative of -t**6/6 - 47*t**5/4 - 515*t**4/2 - 3850*t**3/3 - 2420*t**2 + 7*t + 15. Factor h(s).
-5*(s + 1)*(s + 2)*(s + 22)**2
Let j(l) = -4*l**2 + 88*l + 194. Let t be j(24). Let b(s) be the first derivative of 0*s - 49/2*s**4 - 36*s**t - 11 - 56*s**3. Solve b(y) = 0.
-6/7, 0
Let u be -9 - -7*341/231. Let f(n) be the first derivative of -14/3*n**2 + 2*n**3 - u*n**5 - 7/6*n**6 - 8/3*n - 19 + 59/12*n**4. Suppose f(c) = 0. What is c?
-2, -2/3, -2/7, 1
Let s be 3036/(-520)*22/33. Let c = -35/13 - s. Factor 2/5*x**2 - c*x + 4/5.
2*(x - 2)*(x - 1)/5
Let u be -11 + 56750/(-375)*6/(-80). Let f(o) be the second derivative of 2*o**2 + 23/12*o**4 + u*o**5 + 10/3*o**3 + 0 - 36*o. Solve f(x) = 0 for x.
-2, -1, -2/7
Let d(n) be the third derivative of n**5/360 - 91*n**4/72 + 181*n**3/36 + 6*n**2 + 3*n - 24. What is r in d(r) = 0?
1, 181
Suppose 0 = 4*w - 5*g - 32, -3*w + 5*g = -3 - 26. Find z such that 3*z**3 + w*z**2 - 743 - 6*z + 743 = 0.
-2, 0, 1
Suppose -23*y = -20*y + 5*l + 20, -2*y - 14 = 3*l. Let t be 12*(-2)/(y + 4). Factor -2/3 + 0*h**2 - 4/3*h**3 + 2/3*h**t + 4/3*h.
2*(h - 1)**3*(h + 1)/3
Let g be ((-230)/56 - (-5)/(-35))*-88. Let k = g - 374. Factor -1/6*j**2 + k + 0*j.
-j**2/6
Let w(h) be the first derivative of -h**4 + 4904*h**3/3 - 751538*h**2 + 4772. Suppose w(z) = 0. What is z?
0, 613
Let k(o) be the third derivative of 0 + 8/15*o**3 + 4/15*o**4 + 94*o**2 - 3/25*o**5 + 2/105*o**7 + 0*o - 4/75*o**6. Determine g, given that k(g) = 0.
-1, -2/5, 1, 2
Let g(s) = -s**2 + 29*s - 129. Let u be g(12). Determine c, given that -75*c**2 + 21*c**4 - 2*c**5 - 18 - 9*c**3 + 8*c**5 - u*c + 6*c = 0.
-3, -1, -1/2, 2
Let y(r) = -35*r + 248. Let a be y(7). Let s(l) be the second derivative of 0*l**2 - 1/4*l**4 + 0 - 3*l + 1/2*l**a. Find w such that s(w) = 0.
0, 1
Let 2/5*m**2 - 230 + 4/5*m = 0. What is m?
-25, 23
Let a(z) be the third derivative of z**4/24 + 8*z**3/3 - z**2 + 34. Let x be a(-14). Suppose 3/8*p**3 + 1/8*p**x - 3/8*p - 1/8*p**4 + 0 = 0. Calculate p.
-1, 0, 1, 3
Let q(s) be the first derivative of -468*s**5/5 - 421*s**4 - 1808*s**3/3 - 328*s**2 - 64*s - 1115. De