12/5*v**o + 12/5*v + 4/5 + 4/5*v**3 = 0.
-1
Suppose 10 = -69*h + 74*h. Suppose 0 = -10*x + 53*x - 1161. Solve 243/2 + x*i + 3/2*i**h = 0.
-9
Suppose -2 - 52 = -3*x. Suppose x*h = 20*h - 4. Suppose -h*f + 40*f**2 + 51*f**3 + 46*f**4 - 16*f**2 - 3*f + 15*f**5 + 9*f = 0. Calculate f.
-1, -2/3, -2/5, 0
Let w(p) be the second derivative of -p**4/24 + 31*p**3/3 + 558*p. Factor w(y).
-y*(y - 124)/2
Let j(t) be the second derivative of 0 - 1/114*t**4 - 3/19*t**3 + 6*t + 10/19*t**2. Suppose j(m) = 0. What is m?
-10, 1
Let x = 35279/29470 - -17/5894. Factor 3/5*i**2 - 9/5 - x*i.
3*(i - 3)*(i + 1)/5
Let l(d) be the first derivative of d**4/54 - 26*d**3/27 + 169*d**2/9 - 41*d - 151. Let u(k) be the first derivative of l(k). Factor u(j).
2*(j - 13)**2/9
Let f(s) be the third derivative of -s**8/84 - 2*s**7/35 + 2*s**6/15 + 282*s**2. Suppose f(l) = 0. Calculate l.
-4, 0, 1
Let u(f) be the second derivative of -f**5/10 - f**4/3 + 40*f**3 + 30*f - 24. Factor u(b).
-2*b*(b - 10)*(b + 12)
Let i be (-189)/(-39) - (-2)/13. Suppose -2*q = 5*s - 21, -3*q + i*s - 2 = 4. Factor 1/4 + 1/4*j - 1/4*j**2 - 1/4*j**q.
-(j - 1)*(j + 1)**2/4
Determine a so that -1176/5 + 462/5*a**3 + 963/5*a**2 + 9/5*a**4 - 3258/5*a = 0.
-49, -4, -1/3, 2
Suppose 241 + 92 = -3*a - 3*g, 0 = 4*g + 16. Let i = 325/3 + a. Find r, given that -i*r**2 + 4/3*r + 1/3*r**4 + 0 - 1/3*r**3 = 0.
-2, 0, 1, 2
Let d = 834723/7 + -119241. Let 18/7*b**4 + 30/7*b**2 - 9/7*b - d*b**3 - 3/7*b**5 + 0 = 0. What is b?
0, 1, 3
Let q(m) be the second derivative of -2*m**7/21 - 32*m**6/3 - 2398*m**5/5 - 10640*m**4 - 106134*m**3 - 8777*m. Solve q(f) = 0.
-21, -19, 0
Let d = -103891 + 103893. Factor -3*f - 3/7*f**3 - 9/7 - 15/7*f**d.
-3*(f + 1)**2*(f + 3)/7
Factor 0*c + 0*c**2 + 6*c**3 + 0 - 3/2*c**5 + 9/2*c**4.
-3*c**3*(c - 4)*(c + 1)/2
Let v(l) be the first derivative of 2*l**5/25 + 1278*l**4/5 + 1633284*l**3/5 + 1043668476*l**2/5 + 333452078082*l/5 + 22. Let v(c) = 0. What is c?
-639
Let a = -98/3221 + 20012/22547. Determine i, given that 0*i + 3/7*i**3 + 0*i**2 - a*i**4 + 0 + 3/7*i**5 = 0.
0, 1
Let m(k) be the second derivative of k**4/4 - 43*k**3/2 - 282*k**2 - 2*k + 4. Let m(i) = 0. Calculate i.
-4, 47
Let 12*u**3 - 124*u**2 + 138*u**2 - 165*u**2 - 624 + 149*u - 205*u**2 + 1019*u = 0. Calculate u.
2/3, 3, 26
Factor 75/4*u**2 + 1/4*u**3 + 77/4 - 153/4*u.
(u - 1)**2*(u + 77)/4
Let q be ((-2)/11)/(14736/(-10131)). Factor -1/4*l**4 - q*l**2 + 1/4*l + 0 - 5/8*l**3.
-l*(l + 1)*(l + 2)*(2*l - 1)/8
Let a(q) be the third derivative of -q**6/240 + 71*q**5/60 - 47*q**4/16 + 32*q**2 + q + 15. Factor a(n).
-n*(n - 141)*(n - 1)/2
Suppose -29 + 21 = -4*c. Determine b so that -2565*b + 2581*b - 14 - 3*b**2 + b**c = 0.
1, 7
Let v = 22023/2 - 66061/6. Determine q so that 0 + 21*q**3 + v*q**2 - 4/3*q = 0.
-2/7, 0, 2/9
Let l(a) be the second derivative of -7/72*a**4 - 2 - 3*a + 0*a**3 - 1/180*a**6 - 1/15*a**5 + 0*a**2. Determine o, given that l(o) = 0.
-7, -1, 0
Let a = 63/35552 - -266577/35552. Factor 3/2*x**2 + a - 9*x.
3*(x - 5)*(x - 1)/2
Let d = -234774 - -234776. Suppose 2/3*w**4 + 2/3*w + 2*w**d + 2*w**3 + 0 = 0. Calculate w.
-1, 0
Let i(d) be the third derivative of d**5/160 + 1329*d**4/64 + 1327*d**3/8 + 55*d**2 + 7*d + 6. Factor i(s).
3*(s + 2)*(s + 1327)/8
Factor -304/9*y**2 - 596/9 + 898/9*y + 2/9*y**3.
2*(y - 149)*(y - 2)*(y - 1)/9
Factor 332/25*c - 2/25*c**2 - 656/25.
-2*(c - 164)*(c - 2)/25
Let m(h) be the third derivative of 7/180*h**5 + 0*h + 1/1008*h**8 + 0 + 1/36*h**4 + 0*h**3 + 1/40*h**6 - 182*h**2 + 1/126*h**7. Factor m(w).
w*(w + 1)**3*(w + 2)/3
Suppose -13*u - 2*q = -17*u - 2, 0 = -u - 2*q + 2. Let p(y) be the first derivative of 15 + 2/5*y**2 - 4/15*y**3 + u*y. Factor p(a).
-4*a*(a - 1)/5
Let g(u) be the first derivative of 0*u + 5/4*u**4 + 1/30*u**6 - 4/5*u**3 + 0*u**2 - 14/25*u**5 + 166. Factor g(d).
d**2*(d - 12)*(d - 1)**2/5
Let l = -75958 - -75962. Find d, given that 1/4*d**l - d**3 - 1/2*d + 5/4*d**2 + 0 = 0.
0, 1, 2
Let i(q) be the second derivative of 5*q**4/12 - 2625*q**3 + 12403125*q**2/2 - 2776*q. Let i(m) = 0. Calculate m.
1575
Let m = 278 - 1374/5. Let h = 3387 + -3384. Factor -4*r**h + 0 - m*r - 32/5*r**2 - 4/5*r**4.
-4*r*(r + 1)*(r + 2)**2/5
Let c = -625 - -630. Let x be (-49)/(-9) - (-5)/(-6 + c). Solve 2/9 - 2/3*s + x*s**2 = 0.
1/2, 1
Let -1128002/3*h**3 - 2/3 - 1124998/3*h**2 + 3002/3*h = 0. Calculate h.
-1, 1/751
Let h(i) = i**4 - 7*i**3 - 2*i**2 + i + 1. Let k(c) = -241*c**4 - 483*c**3 + 262*c**2 + 324*c - 156. Let p(o) = 4*h(o) - k(o). Factor p(u).
5*(u + 1)*(u + 2)*(7*u - 4)**2
Let b(j) be the first derivative of 29791*j**6/15 + 34596*j**5/25 + 1674*j**4/5 + 144*j**3/5 + 3227. Factor b(u).
2*u**2*(31*u + 6)**3/5
Let -672*w**2 + 168*w**4 - 144*w**3 + 4*w**5 + 164*w**4 - 200*w**3 = 0. What is w?
-84, -1, 0, 2
Suppose -5*h + 68 = -57. Let i = h - 3. Factor -24*s - 22*s - 8*s**3 - 4*s**4 + 76*s - i*s + 4*s**2.
-4*s*(s - 1)*(s + 1)*(s + 2)
Suppose -27*q - 20 = -32*q. Factor 3*r**2 + 0*r**3 - 3*r**5 + 9*r**3 + 9*r**q + 7*r**5 - r**5.
3*r**2*(r + 1)**3
Let z = 23/19395 - -151258/19395. Factor 3/5*p**3 + 0 + 42/5*p**2 + z*p.
3*p*(p + 1)*(p + 13)/5
Let m(f) = 3*f + 30. Let w be m(-8). Let -5*u + 3*u + 5*u - u**5 - 5*u**4 - w*u**3 + 4*u + 3 + 2*u**2 = 0. What is u?
-3, -1, 1
Suppose -8*f - 720 = f. Let y = 82 + f. Determine g so that -36*g**2 + 59*g**y - 12*g - 27*g**2 = 0.
-3, 0
Let d = -1/15881 + 285871/206453. Find m such that -2/13*m**4 + 0*m - d*m**2 - 12/13*m**3 + 0 = 0.
-3, 0
Let v be (-16)/(-28)*(-16 + (-17100)/(-864)). Let -3/2 + 1/3*k**3 - v*k**2 + 4*k = 0. Calculate k.
1/2, 3
Let h(r) be the second derivative of r**6/35 - 3*r**5/70 - 6*r**4/7 - 4*r**3/7 + 48*r**2/7 + 33*r. Suppose h(c) = 0. What is c?
-2, 1, 4
Let c(r) be the first derivative of -65 + 0*r**2 + 0*r - 1/3*r**5 + 1/18*r**6 - 4/9*r**3 + 2/3*r**4. Determine x, given that c(x) = 0.
0, 1, 2
Suppose -2/9*k - 16/9*k**5 - 14/3*k**3 - 16/9*k**2 - 44/9*k**4 + 0 = 0. Calculate k.
-1, -1/2, -1/4, 0
Let t = 46 - 43. Suppose 3*z = 5*m - t + 5, -z = -2*m. What is c in 34/5*c**m - 42/5*c - 6/5*c**3 - 18/5 = 0?
-1/3, 3
Let r(o) be the third derivative of o**8/336 + 27*o**7/70 + 389*o**6/20 + 2755*o**5/6 + 36875*o**4/8 + 46875*o**3/2 - 1117*o**2. Solve r(z) = 0 for z.
-25, -3
Let b(i) be the third derivative of 5*i**9/432 + 5*i**8/336 - i**7/84 - 121*i**3/6 - 2*i**2 + 45. Let k(d) be the first derivative of b(d). Factor k(g).
5*g**3*(g + 1)*(7*g - 2)
Let c(o) be the second derivative of -o**6/240 + o**5/60 + o**4/16 + 82*o**2 + 5*o - 16. Let j(x) be the first derivative of c(x). Factor j(t).
-t*(t - 3)*(t + 1)/2
Let q be -17 - -13 - (1 - 0)*-43. Let w be (-267)/q + 7 - (-60)/117. Find v, given that -8/3*v - w*v**2 - 8/3 = 0.
-2
Let k(m) = -2*m**3 + 3*m - 2. Let o(t) = 4*t**3 + 260*t**2 - 2064*t - 1077. Let v(d) = 6*k(d) + o(d). Factor v(w).
-(2*w - 33)**2*(2*w + 1)
Let z(f) be the second derivative of -f**5/40 - 2*f**4/3 - 65*f**3/12 - 25*f**2/2 + 251*f. Factor z(w).
-(w + 1)*(w + 5)*(w + 10)/2
Suppose 0 = -1314*k + 508 + 2120. Factor -16/9*c - 2/9 + k*c**2.
2*(c - 1)*(9*c + 1)/9
Let i be (4/10)/(5/675). Let t be (i + 2)*(-1 - (-4)/2). Let 10*q - 484 - 4*q**2 + 18*q - t*q - 60*q = 0. What is q?
-11
Let h(f) be the third derivative of f**5/15 + 503*f**4/3 + 506018*f**3/3 + 1975*f**2. Factor h(j).
4*(j + 503)**2
Let f(v) be the second derivative of 0 - 14/3*v**4 - 57*v - 1/45*v**6 - 98/9*v**3 + 343*v**2 + 3/5*v**5. Let f(p) = 0. Calculate p.
-3, 7
Let b(d) be the first derivative of 361*d**6/2 + 6118*d**5/15 + 1211*d**4/6 - 172*d**3/3 - 71*d**2/6 - 2*d/3 + 1213. Solve b(c) = 0 for c.
-1, -1/19, 2/9
Let g(u) be the third derivative of -2*u**5/15 + 97*u**4/6 - 712*u**3/3 + 2695*u**2. Determine h, given that g(h) = 0.
4, 89/2
Let b(z) = 2*z**2 - 40 + 13 + 7 + z + 17. Let i be b(1). Factor i*v + 3/5*v**2 + 0 + 1/5*v**3.
v**2*(v + 3)/5
Let j(v) be the second derivative of -3042*v**5/5 - 988*v**4 + 155*v**3/3 - v**2 + 338*v. Factor j(h).
-2*(h + 1)*(78*h - 1)**2
Let h(c) = -4*c**2 + 1226*c - 91213. Let i(n) = -n**2 + 306*n - 22803. Let a(q) = 4*h(q) - 18*i(q). Solve a(t) = 0.
151
Let g be 16/14*(-2)/((-52)/91). Let s be g/(-18) + 85/18 + -4. Factor s*y**2 + 0 - 1/2*y**3 + 1/2*y**5 + 0*y - 1/2*y**4.
y**2*(y - 1)**2*(y + 1)/2
Suppose 42*r - 2296 =