5*o + 0*o**2 + 2/105*o**q + 1/14*o**5 + 1/21*o**3. Solve s(t) = 0 for t.
-1, -1/2, 0
Factor 18/5*s + 1/5*s**2 + 0.
s*(s + 18)/5
Let r(y) be the third derivative of 10*y**2 - 1/3*y**3 - 1/40*y**5 + 1/480*y**6 + 1/8*y**4 + 0*y + 0. Factor r(m).
(m - 2)**3/4
Let c = 37 + -24. Factor -8*k**3 - 4*k + 17 - 30 + c + 10*k**2 + 2*k**4.
2*k*(k - 2)*(k - 1)**2
Let -160/7*l**5 + 4/7*l - 352/7*l**4 + 85/7*l**2 - 3/7 - 114/7*l**3 = 0. What is l?
-3/2, -1, -1/5, 1/4
Let t(f) be the second derivative of -f**4/90 - 7*f**3/45 + 8*f**2/15 + 125*f. Solve t(m) = 0.
-8, 1
Let m(w) be the second derivative of -4/3*w**4 + 29*w + 10*w**2 + 38/3*w**3 + 0. Factor m(x).
-4*(x - 5)*(4*x + 1)
Let s(w) = 14*w**2 + 96*w + 214. Let i(k) = -25*k**2 - 192*k - 427. Let r(o) = -6*i(o) - 11*s(o). Factor r(q).
-4*(q - 26)*(q + 2)
Let z(g) be the third derivative of -g**5/15 + g**4/3 + 2*g**3 - g**2 + 3*g. Let z(r) = 0. What is r?
-1, 3
Let q be 2822/(-18) + (-9)/(-1 - -4). Let n = q - -160. Factor -2*y**2 - n*y**3 - 6*y - 6.
-2*(y + 3)**3/9
Suppose 3 = 2*o + q, -3*o - 2*o + 4*q - 12 = 0. Factor -6 + o*x**2 - 8*x**2 - x**2 - 9*x**3 + 3*x**2 + 21*x.
-3*(x - 1)*(x + 2)*(3*x - 1)
Let m(t) = t**2 + 37*t + 8. Let u be m(-37). Let h(q) be the third derivative of u*q**2 + 0*q + 0 - 1/84*q**4 - 1/210*q**5 + 2/21*q**3. Solve h(j) = 0 for j.
-2, 1
Let c(k) be the first derivative of -3*k**4/28 - 13*k**3/7 - 60*k**2/7 - 108*k/7 + 439. Suppose c(m) = 0. What is m?
-9, -2
Let u(v) be the third derivative of v**8/1344 - v**7/840 - v**6/240 + v**5/120 + v**4/96 - v**3/24 + 712*v**2. Factor u(k).
(k - 1)**3*(k + 1)**2/4
Let s(n) be the second derivative of -n**5/4 - 15*n**4/2 - 25*n**3/2 + 85*n**2 - 142*n. Factor s(x).
-5*(x - 1)*(x + 2)*(x + 17)
Let i(l) be the second derivative of l**5/12 + 115*l**4/36 + 2*l - 45. Factor i(r).
5*r**2*(r + 23)/3
Suppose 5*n - 4 = 2*l + 13, l - n + 1 = 0. Let o(t) be the first derivative of -4*t**2 - 4 - l*t - 4/3*t**3. Factor o(f).
-4*(f + 1)**2
Let -1/5*j**2 - 676/5 - 52/5*j = 0. Calculate j.
-26
Let w = 20849/5 + -4169. Suppose 2/5*d**4 + 0 - 2/5*d**5 - w*d - 2/5*d**2 + 6/5*d**3 = 0. Calculate d.
-1, 0, 1, 2
Let d(g) be the second derivative of 45*g**5/2 + 395*g**4/2 + 304*g**3/3 + 20*g**2 - g + 20. Factor d(a).
2*(a + 5)*(15*a + 2)**2
Let b(s) be the second derivative of 0*s**2 - 13*s - 1/24*s**4 + 0 + 0*s**3 - 3/80*s**5 + 1/24*s**6. Factor b(p).
p**2*(p - 1)*(5*p + 2)/4
What is r in 25*r**4 + 16*r**5 + 762*r**2 - 11*r**5 - 160*r**3 - 582*r**2 = 0?
-9, 0, 2
Let p(r) be the first derivative of 0*r**2 + 0*r**3 - 6*r + 1/30*r**6 - 1 - 1/20*r**5 + 0*r**4. Let t(x) be the first derivative of p(x). Factor t(n).
n**3*(n - 1)
Let m(c) be the first derivative of c**6/720 - c**5/360 - 7*c**2 - 1. Let o(n) be the second derivative of m(n). Suppose o(r) = 0. Calculate r.
0, 1
Let r = 63/380 + -5/76. Let f(u) be the first derivative of 0*u**2 + 4/15*u**3 + r*u**4 + 8 + 0*u. Factor f(t).
2*t**2*(t + 2)/5
Let y(g) be the second derivative of -g**7/30 - 13*g**6/150 + g**5/50 + 7*g**4/30 + g**3/6 - g**2/10 - 2*g + 5. Suppose y(a) = 0. Calculate a.
-1, 1/7, 1
Let v(p) = -p**5 - 3*p**4 - 5*p**3 - 5*p. Let m be 2/(2*(-3 + 4)). Let q(h) = h**5 - h**4 + h**3 + h. Let z(f) = m*v(f) + 5*q(f). Factor z(o).
4*o**4*(o - 2)
Let c(s) = 0*s**3 + s**3 + 0*s - s**2 + 0*s + 1. Let i(g) = -15*g**3 - 5*g - 10. Let u(n) = 10*c(n) + i(n). Determine m, given that u(m) = 0.
-1, 0
Let o(y) = -637*y**2 + 621*y**2 - 20*y - 8*y**3 - 5 - 15. Let m(u) = u**3 + u**2 - u - 1. Let w(v) = 14*m(v) + 2*o(v). Determine h so that w(h) = 0.
-3
What is c in 3/2*c**2 - 1/2 - 1/2*c**4 - 1/4*c**3 - 1/4*c = 0?
-2, -1/2, 1
Let o be 3 + (0 - 2) + -5. Let n be ((-1)/2)/(o/16). Factor -n - k**2 - k - 3*k - k**2.
-2*(k + 1)**2
Let w(b) be the second derivative of -5*b**7/189 - b**6/5 - 5*b**5/9 - 2*b**4/3 - 8*b**3/27 + 2*b - 189. Determine d, given that w(d) = 0.
-2, -1, -2/5, 0
Let g(i) be the first derivative of i**5/25 + 7*i**4/20 - 4*i**3/15 - 14*i**2/5 - 279. Let g(u) = 0. What is u?
-7, -2, 0, 2
Let g(d) be the first derivative of 1/3*d**5 - 5/3*d**4 + 10/3*d**3 - 10/3*d**2 + 5/3*d - 1. Let g(b) = 0. Calculate b.
1
Suppose -5*i - 19 = -4. Let l be (-4)/4 + i + 4. Determine j, given that 3/4*j**4 - 1/4*j**5 + l - 1/2*j**3 + 0*j**2 + 0*j = 0.
0, 1, 2
Let i be 1092/1820 + 2*1/10. Find v, given that -2/5*v + 2/5 - i*v**2 = 0.
-1, 1/2
Let h be 0 - -2 - (-15 + -16). Let n be (-108)/h + 2 + 2. Factor 4/11 - n*v**2 + 14/11*v.
-2*(v - 2)*(4*v + 1)/11
Let j(t) = t**2 + 8*t - 10. Let c be j(-10). Factor 3*a - c - a**2 + 10.
-a*(a - 3)
What is d in -8*d**3 - 121/6*d**5 + 2/3*d**2 + 55/2*d**4 + 0 + 0*d = 0?
0, 2/11, 1
Let p(u) = -2*u**3. Let h(y) = -10*y**3 - 12*y**2 + 8*y + 12. Let n(f) = -h(f) + p(f). Find s, given that n(s) = 0.
-3/2, -1, 1
Let l(t) be the third derivative of -t**8/168 - 8*t**7/105 - t**6/10 + 4*t**5/3 - 25*t**4/12 - 24*t**2 - 2*t. What is s in l(s) = 0?
-5, 0, 1
Let x(b) be the third derivative of -b**10/105840 + b**4 + 37*b**2. Let m(n) be the second derivative of x(n). Solve m(j) = 0.
0
Let o = 5627/6573 - -1/939. Suppose 0 - o*i + 0*i**2 + 6/7*i**3 = 0. Calculate i.
-1, 0, 1
Solve -5*r**2 + 26 - 250*r + 293 - 64 = 0.
-51, 1
Find j such that 28/9 - 2/9*j**2 - 10/9*j = 0.
-7, 2
Let v = -46 + 53. Suppose 5*g - 3 = v. Find u such that -8/7*u**5 + 0*u**g + 2/7*u**3 + 0*u + 6/7*u**4 + 0 = 0.
-1/4, 0, 1
Let t(q) be the first derivative of -13*q**5/5 - 3*q**4 + 14*q**3/3 + 6*q**2 - q + 107. Factor t(u).
-(u - 1)*(u + 1)**2*(13*u - 1)
Let 2/7*r**4 - 6*r**3 + 6*r - 40/7 + 38/7*r**2 = 0. What is r?
-1, 1, 20
Let a be ((-28)/189)/(4/(-6)). Let z(u) be the first derivative of a*u**3 + 1/3*u**2 - 1/6*u**4 + 0*u - 2/15*u**5 + 2. Factor z(x).
-2*x*(x - 1)*(x + 1)**2/3
Factor -9/7*g**2 + 22/7*g - 8/7.
-(g - 2)*(9*g - 4)/7
Let g(a) be the second derivative of a**7/3150 - a**5/150 - 3*a**4/2 - 18*a. Let i(f) be the third derivative of g(f). Factor i(v).
4*(v - 1)*(v + 1)/5
Suppose 0 = 4*z + 4 - 12. Let f(q) be the first derivative of z*q + 2 + 1/3*q**3 + 3/2*q**2. Factor f(s).
(s + 1)*(s + 2)
Let h(j) be the second derivative of -j**4/42 + 25*j**3/21 + 191*j. Factor h(r).
-2*r*(r - 25)/7
Suppose -6*y + 42 = 6. Suppose -9*g - y = -12*g. Factor r**g + 5*r - 5*r - 5*r**2.
-4*r**2
Suppose 4*w - 41 - 99 = 0. Suppose w*g = 37*g - 6. Factor -4/9*y + 0*y**2 + 2/9 - 2/9*y**4 + 4/9*y**g.
-2*(y - 1)**3*(y + 1)/9
Let r(t) be the third derivative of t**5/30 + t**4 + 32*t**3/3 - 244*t**2. Factor r(u).
2*(u + 4)*(u + 8)
Let f(u) = 5*u**4 + 40*u**3 + 15*u**2 - 40*u - 20. Let r(w) = 0*w**3 + 170 - w**3 + w - 170. Let t(k) = f(k) + 20*r(k). Suppose t(n) = 0. Calculate n.
-2, -1, 1
Let k(x) = -x**2 + 3*x + 43. Let i(o) = 2*o**2 - o - 2. Let q be i(-2). Let c be k(q). Factor -3/2*p + 1/2*p**2 - 1/2 + 3/2*p**c.
(p - 1)*(p + 1)*(3*p + 1)/2
Let m(i) be the third derivative of -i**6/24 + 2*i**5/3 + 15*i**4/8 + i**2 + 7. Find n such that m(n) = 0.
-1, 0, 9
Let w be (-15)/(-33) + (-17)/(-187). Let b = 15/23 - 119/253. Factor 0*z**2 - w*z - 4/11 + b*z**3.
2*(z - 2)*(z + 1)**2/11
Factor -27/2 - 57/4*f - 3/4*f**2.
-3*(f + 1)*(f + 18)/4
Suppose -6 = -f - 5. Factor 12 + f - 3 + 3*t**2 - 12*t - 1.
3*(t - 3)*(t - 1)
Let o be (14/(-7))/(2/(-4)). Let t be o/(-8)*-18 + -3. Let -10*r**5 + 3 - 11*r**5 + t*r**5 + 9*r**4 + 6*r**3 - 30*r**2 + 18*r**4 + 9*r = 0. What is r?
-1, -1/5, 1
Let x(q) be the third derivative of 4/35*q**5 + 2*q**2 + 1/21*q**4 + 1/42*q**8 - 11*q - 23/245*q**7 + 13/420*q**6 + 0*q**3 + 0. Find u such that x(u) = 0.
-2/7, -1/4, 0, 1, 2
Let b = -512 + 512. Suppose b - 1/2*g**2 + 1/2*g = 0. Calculate g.
0, 1
Let o(y) be the third derivative of -y**6/60 + 29*y**5/90 - y**4/2 - 64*y**2. Find f, given that o(f) = 0.
0, 2/3, 9
Let y(t) be the second derivative of t**5/50 - 3*t**4/10 - t**3/15 + 9*t**2/5 - t - 5. Factor y(q).
2*(q - 9)*(q - 1)*(q + 1)/5
Let x(m) be the third derivative of m**5/150 - m**4/60 - 2*m**3/5 + 104*m**2. Factor x(q).
2*(q - 3)*(q + 2)/5
Let s(d) be the first derivative of 4/75*d**5 - 1/5*d**6 + 0*d + 0*d**2 - 4/45*d**3 + 14 + 3/10*d**4. Let s(p) = 0. What is p?
-1, 0, 2/9, 1
Let q(g) be the third derivative of -g**5/120 + g**4/24 + g**3/4 - g**2 + 2*g. Factor q(l).
-(l - 3)*(l + 1)/2
Let u(f) be the third derivative of 0*f