et m(v) be the third derivative of v**7/2205 - v**6/120 + v**5/84 + v**4/24 + 29*v**2. Let t(y) be the second derivative of m(y). Factor t(p).
2*(p - 5)*(4*p - 1)/7
Let b = -103 - -115. Let -10*x**2 - 131*x - b + 3*x**3 - 5*x**2 + 155*x = 0. Calculate x.
1, 2
Let u = 4029/2 + -2014. Let d = 55/14 - 24/7. Find c such that -1/3 + d*c + u*c**2 - 1/3*c**3 = 0.
-1, 1/2, 2
Let t = -74 - -27. Let a be t/(-15) + 5 + -8. Let -2/5*b**2 + a*b**3 + 2/5*b - 2/15 = 0. What is b?
1
Let u be 10 + ((-39)/26)/(3/8). Let b(x) be the first derivative of -1/6*x**3 + 1/8*x**2 - 1/8*x**4 + 1/24*x**u + 1/4*x + 5 + 1/20*x**5. Factor b(j).
(j - 1)**2*(j + 1)**3/4
Suppose 13*s + 40 - 40 = 0. Let t(v) be the second derivative of s*v**2 + 0 + 0*v**3 + 3*v + 1/10*v**5 - 1/6*v**4. Factor t(f).
2*f**2*(f - 1)
Factor 73/3*w**2 - 35/3*w**3 - 37/3*w - 1/3*w**4 + 0.
-w*(w - 1)**2*(w + 37)/3
Factor 4/7*k**4 + 0 + 12/7*k**3 + 8/7*k**2 + 0*k.
4*k**2*(k + 1)*(k + 2)/7
Suppose 175*l = 186*l. Let l*x**2 + 1/6*x**4 - 8/3 + 2/3*x**3 - 8/3*x = 0. Calculate x.
-2, 2
What is n in -8*n**2 + 9*n**3 + 18 + n**2 - 1892*n**4 - 21*n - 2*n**2 + 1895*n**4 = 0?
-3, -2, 1
Let h(y) be the second derivative of -3*y + 0 + 0*y**2 - 1/180*y**6 + 1/120*y**5 + 1/36*y**4 + 0*y**3. Let h(f) = 0. What is f?
-1, 0, 2
Let n(q) be the second derivative of -q**9/756 - q**8/448 + q**7/504 + 7*q**4/3 + 7*q. Let p(t) be the third derivative of n(t). Find j such that p(j) = 0.
-1, 0, 1/4
Let f(x) be the first derivative of x**4 - 5*x**3 + 4*x**2 + 3*x + 240. Determine m so that f(m) = 0.
-1/4, 1, 3
Suppose -3*l = -5*t + 14, 0 = -t - 2*l + 7*l - 6. Suppose -4*p - v - 2*v = t, 0 = -5*p - 5*v - 10. Solve 2/13*w + 0 + 2/13*w**p = 0.
-1, 0
Let o(q) = 2*q**3 - 4*q**2 + 2*q + 2. Let g = 101 + -100. Let b(d) = d + 1. Let y(w) = g*o(w) - 2*b(w). Solve y(a) = 0.
0, 2
Let 10/13*c**2 + 16/13*c**3 - 38/13*c + 12/13 = 0. Calculate c.
-2, 3/8, 1
Let r(b) be the first derivative of -2*b**3/3 + 8*b + 153. Let r(q) = 0. What is q?
-2, 2
Let s(j) be the second derivative of j**7/273 + j**6/195 - j**5/65 - j**4/39 + j**3/39 + j**2/13 - 3*j - 4. Suppose s(z) = 0. Calculate z.
-1, 1
Let g = -141 + 143. Find f such that 3*f + 8*f - g*f**2 - 2 - 21*f - 6 = 0.
-4, -1
Let c = 425/16 - 2783/112. Factor 8/7*f + 4/7*f**3 - c*f**2 + 0.
4*f*(f - 2)*(f - 1)/7
Let h(n) = -4*n + 22. Let j be h(5). Factor -4*l**3 - 13*l + 5*l**2 - 9*l + 24*l - 3*l**j.
-2*l*(l - 1)*(2*l + 1)
Let g(p) be the second derivative of -729*p**5/20 + 405*p**4 - 1800*p**3 + 4000*p**2 - 103*p. Factor g(l).
-(9*l - 20)**3
Let z(p) be the first derivative of -1/20*p**5 - 1/4*p - 1/2*p**3 - 3 + 1/2*p**2 + 1/4*p**4. Factor z(m).
-(m - 1)**4/4
Suppose -4*d + 60 = 3*b, -4*d + 3*b = 8*b - 60. Solve -40 + 6 - 45*c + 9 + d - 35*c**2 = 0.
-1, -2/7
Let s(r) be the first derivative of 1/3*r**6 + 2/3*r**3 - 1/2*r**4 + 0*r**2 + 0*r - 2/5*r**5 - 16. Solve s(u) = 0.
-1, 0, 1
Suppose -4*b = 3*n - 14, -2*n = -4*b - 0 + 4. Suppose 3*x + b = 8. Factor 0 + 1/3*t - 1/3*t**x.
-t*(t - 1)/3
Let j(g) be the first derivative of 5*g**4/8 - 67*g**3/6 + 34*g**2 - 22*g - 274. Let j(h) = 0. Calculate h.
2/5, 2, 11
What is i in 238*i**3 + 34 - 17 - 236*i**3 - 17 + 100*i**2 = 0?
-50, 0
Suppose 5*i - 4*m = 165, 61 = i + 5*m - 1. Suppose -2*s + i = -59. Factor s*n**3 + 72*n**2 - 1 - 9*n + 36*n + 4.
3*(n + 1)*(4*n + 1)**2
Suppose -30 + 221*v**2 + 142*v**2 + 282 + 984*v - 189*v**3 + 210*v**3 = 0. Calculate v.
-14, -3, -2/7
Let n(y) = 10*y + 10*y - 69 - 11*y. Let w be n(8). Let -1/3*o**2 + 2/3 + o**w - 1/3*o**4 - o = 0. What is o?
-1, 1, 2
Let w(l) be the first derivative of -3/2*l**3 - 9/4*l**2 - 5 - 3/2*l - 3/8*l**4. Factor w(a).
-3*(a + 1)**3/2
Let w(j) be the second derivative of 5*j - 1/8*j**4 - 5/24*j**6 + 0 - 1/4*j**5 - 1/3*j**3 + 0*j**2. Let v(s) be the second derivative of w(s). Factor v(t).
-3*(5*t + 1)**2
Let g(x) = -x**3 - x**2 + x - 4. Let c be g(0). Let w = -2 - c. Determine v, given that 0*v**2 - v**2 + 8 - 35 + 18*v - 2*v**w = 0.
3
Let r(a) = a**2 - 2*a + 2. Let f be r(2). Let c be (43 - 1) + 0 + -1. Factor 2*n + c*n**2 - 44*n**f - 2*n - 3*n**3.
-3*n**2*(n + 1)
Let d be 7340/84 + 1 + 10/(-14). Let l = 88 - d. Factor -l*r - 1/3*r**2 + 2/3.
-(r - 1)*(r + 2)/3
Let o(f) be the first derivative of -5*f**3/3 - 135*f**2 - 3645*f - 8. Factor o(z).
-5*(z + 27)**2
Let q(b) be the second derivative of b**10/30240 + b**9/7560 + 11*b**4/3 + 44*b. Let t(c) be the third derivative of q(c). Factor t(u).
u**4*(u + 2)
What is t in 1585*t**2 - 3214*t**2 + 1584*t**2 + 40*t + 5*t**3 = 0?
0, 1, 8
Factor 1/9*k**3 + 160/3*k - 14/3*k**2 - 800/9.
(k - 20)**2*(k - 2)/9
Suppose -2*b - 1 + 11 = 0. Factor -10 + 25*r - 6*r**2 - 9*r**2 - 4*r**3 - r**3 + b*r**4.
5*(r - 1)**3*(r + 2)
Let j(i) = -i**3 + 3*i - 26*i**2 - 1 + 2*i**3 + 24*i**2 + 0. Let a be j(2). Factor 8*d + 7*d**2 - d + 0 + a*d - 4.
(d + 2)*(7*d - 2)
Suppose d = -5, k + 1 + 0 = -d. Suppose 0*n = 2*q + n - 3, -k*n - 15 = -q. Let 0*p - 4/7*p**2 - 10/7*p**q - 8/7*p**4 - 2/7*p**5 + 0 = 0. What is p?
-2, -1, 0
Let z(h) be the third derivative of -h**7/840 + h**6/160 + h**5/15 + h**4/8 + 617*h**2. Factor z(v).
-v*(v - 6)*(v + 1)*(v + 2)/4
Let i(n) be the third derivative of 0*n + 1/72*n**4 - 1/18*n**3 + 0 + 12*n**2 - 1/360*n**6 + 1/180*n**5. Solve i(z) = 0 for z.
-1, 1
Let x(v) be the third derivative of 0*v**3 - 6*v**2 - 1/60*v**6 - 3*v**4 + 2/5*v**5 + 0 + 0*v. Factor x(d).
-2*d*(d - 6)**2
Suppose 0*j - 2*r = 3*j, -j + 14 = -4*r. Let u be 8/(-6)*9/(-2). Factor 13*t - 21*t - u*t**2 - 2*t**j - 2*t**3.
-2*t*(t + 2)**2
Let z be (2/(-4))/((-7)/98) - -3. Let v(g) = -g**3 + 11*g**2 - 11*g + 14. Let y be v(z). Let 1/2*m**4 + 0*m**3 - 3/2 - 3*m**2 - y*m = 0. Calculate m.
-1, 3
Let y(m) = -2*m**2 - m - 1. Let h(f) = f**4 - 10*f**3 + 29*f**2 - 42*f + 14. Let b(k) = -h(k) + 2*y(k). Factor b(w).
-(w - 4)**2*(w - 1)**2
Let z(c) = c**2 - 3*c + 20. Let r be z(10). Let b be ((-48)/r)/8*-4. Suppose 2/15*q**2 - b - 2/15*q = 0. Calculate q.
-1, 2
Let f be ((-7)/(105/2) - 20/(-150))/(-5). Factor 0*l**2 + 10/9*l**3 + 0*l - 2/9*l**4 + f.
-2*l**3*(l - 5)/9
Let u = 16 + -14. Let p = -86 - -88. Let 1/2*w**u + w - p - 1/4*w**3 = 0. What is w?
-2, 2
Suppose -2*y = 4*z - 2, -4*z + 11*y - 10*y = -11. Let b(m) be the second derivative of 0 + 1/78*m**4 + 6*m + 2/39*m**3 + 1/13*m**z. Factor b(k).
2*(k + 1)**2/13
Factor 63*b**2 + 65*b**2 + 72*b**2 + 8*b - 201*b**2.
-b*(b - 8)
Let a = 97772/5 - 19554. Factor -a*u**2 - 1/5*u**3 + 0 + 3/5*u.
-u*(u - 1)*(u + 3)/5
Suppose -11*c = -c - 560. Let f be -1 + (-47)/(-21) + c/(-84). Solve 4/7*t**2 + 2*t**4 - 4/7*t**5 + f*t - 2/7 - 16/7*t**3 = 0 for t.
-1/2, 1
Suppose 9*y - 3*y = 240. Factor 24*r - 4*r + 97*r**4 - 52*r**4 - 15*r**3 - y*r**2.
5*r*(r + 1)*(3*r - 2)**2
Factor 6/13*g**2 + 0 + 0*g + 2/13*g**3.
2*g**2*(g + 3)/13
Suppose 522*c = 311*c + 422. Find d such that -1/10*d**c + 0 + 1/5*d - 1/10*d**3 = 0.
-2, 0, 1
Let f(m) be the second derivative of -3*m**5/25 - 19*m**4/30 - 4*m**3/15 + 4*m**2 + 80*m. Factor f(l).
-2*(l + 2)**2*(6*l - 5)/5
Let q(y) be the first derivative of 5*y**4/4 + 30*y**3 + 405*y**2/2 - 260. Determine w so that q(w) = 0.
-9, 0
Let z(a) be the third derivative of a**6/120 + a**5/20 - 5*a**4/24 - a**3/6 - a**2. Let m be z(-4). Factor 104*t**2 - 28*t**m - 20 - 41*t - 4 + 30*t - 41*t.
-4*(t - 3)*(t - 1)*(7*t + 2)
Let s(t) be the first derivative of t**6/72 + t**5/4 + 15*t**4/8 - 5*t**3/3 - 26. Let o(n) be the third derivative of s(n). Suppose o(l) = 0. What is l?
-3
Let k(r) be the second derivative of -r**6/120 + 19*r**5/40 - 277*r**4/48 - 133*r**3/2 - 441*r**2/2 - 2*r + 71. Factor k(s).
-(s - 21)**2*(s + 2)**2/4
Factor -894*p**2 + 12*p + 890*p**2 - 180*p + 172.
-4*(p - 1)*(p + 43)
Let a(g) be the first derivative of g**3/2 + 63*g**2/4 + 57*g + 250. Factor a(q).
3*(q + 2)*(q + 19)/2
Factor -128/9*x**2 + 160/3*x - 50.
-2*(8*x - 15)**2/9
Let p(c) be the first derivative of c**3/3 - 7*c**2 - 15*c - 48. Let p(w) = 0. What is w?
-1, 15
Suppose -9*g = 3*g + 13*g. Suppose g - 2/11*v - 2/11*v**4 - 6/11*v**3 - 6/11*v**2 = 0. What is v?
-1, 0
Find o such that 0 - 4/21*o**3 + 0*o**2 + 2/21*o**4 + 0*o = 0.
0, 2
Suppose -5*o = 25, -f + 4*f - 2*o + 158 = 0. Let w be (-232)/f - 4*1. What is p in 3/7*p - w*p**2 + 4/7 = 0?
-1, 4
Let d(b) be the third derivative 