1591*n + 1113. Let s(j) = -7*a(j) + 2*c(j). Solve s(w) = 0.
1, 2, 35
Let p(k) be the second derivative of -k**6/140 + k**5/140 - k**3/3 - 13*k**2/2 - 73*k. Let u(j) be the second derivative of p(j). Suppose u(m) = 0. What is m?
0, 1/3
Let f(t) be the first derivative of -2*t**3/9 - 38*t**2/3 + 1229. Factor f(o).
-2*o*(o + 38)/3
Let l(g) be the first derivative of -108/7*g - 13/7*g**3 - 354/7*g**2 + 133. Find x, given that l(x) = 0.
-18, -2/13
Let s(l) be the first derivative of -7/4*l**4 + 2*l**2 + 0*l + 4 + 0*l**3 - 3/5*l**5. Let s(p) = 0. Calculate p.
-2, -1, 0, 2/3
Let u = -6 + -7. Let k = u - -15. Suppose 2*g + 2*g**2 + k*g**2 - 13 - 2*g**3 + 9 = 0. Calculate g.
-1, 1, 2
Let b = -18 - -35. Let a(q) = -q**2 + 15*q + 40. Let v be a(b). Solve -11*d**5 + 12*d**5 + 6*d**5 - 9*d**3 + 6*d**4 + 2*d**5 - v*d**2 = 0.
-1, -2/3, 0, 1
Let y(s) be the first derivative of 1/10*s**5 + 1/180*s**6 + 15 - 4/3*s**3 + 0*s + 2/3*s**4 + 0*s**2. Let q(p) be the third derivative of y(p). Solve q(i) = 0.
-4, -2
Suppose -286 + 2*s**2 - 735*s + 6*s**2 + 671 - 3*s**2 + 345 = 0. What is s?
1, 146
Suppose -77*y - 160 = 5*o - 75*y, -100 = 4*o - 4*y. Let q be (-281)/30 - -11 - (-4)/o. Factor -q*g**3 - 2*g + 1/2*g**5 + g**4 - 4*g**2 + 0.
g*(g - 2)*(g + 1)**2*(g + 2)/2
Determine a so that 8/7*a**2 + 22/21*a + 2/21*a**3 + 0 = 0.
-11, -1, 0
Let x be 2232/(-120) + (-16 - -43). Factor -x*z + 162/5*z**2 - 4/5.
2*(3*z - 1)*(27*z + 2)/5
Let -303*s**3 - 19*s**2 - 98*s**2 + 141*s**4 + 172*s**5 - 181*s**5 = 0. Calculate s.
-1/3, 0, 3, 13
Let m be 0/(((-16)/(-40))/(2/(-5))). Let o(g) be the third derivative of m + 1/270*g**5 - 1/108*g**4 - 6*g**2 + 0*g**3 + 0*g. Factor o(c).
2*c*(c - 1)/9
Factor -2711*p**2 - 2*p**3 + 25*p + 37*p + 2771*p**2.
-2*p*(p - 31)*(p + 1)
Suppose -8 = -5*f - 158. Let u be (192/f)/((-2)/10). Suppose 33*s**2 - 32 + u + 18*s + 12*s**3 - 3*s**4 = 0. What is s?
-1, 0, 6
Let n(d) be the first derivative of 2*d**6/3 - 92*d**5/5 + 150*d**4 - 1408*d**3/3 + 448*d**2 - 262. Suppose n(s) = 0. What is s?
0, 1, 4, 14
Suppose 1065 = u + 247. Factor -10*s + 3 + u*s**2 - 8 - 823*s**2.
-5*(s + 1)**2
Let w be (0/((-140)/(-20)))/(8 - 4). Find z such that w*z**3 + 0 - 6/11*z**2 + 2/11*z**4 + 4/11*z = 0.
-2, 0, 1
Let w(a) = 2*a**2 - 35*a + 77. Let z be w(24). Let k = z - 3111/8. Find h, given that -9/4*h - 81/8*h**2 - k = 0.
-1/9
Let n(z) be the second derivative of -z**4/66 - 40*z**3/33 + 1848*z. Suppose n(w) = 0. What is w?
-40, 0
Suppose -2*y + 22 = 4*b, -5*b = -5*y - 1 - 4. Let x = -30 - -33. Factor x*r**4 + 2*r**5 - 3*r**2 - 2*r**5 + 20*r**3 - 17*r**3 - y*r**5.
-3*r**2*(r - 1)**2*(r + 1)
Let c(x) be the second derivative of x**4/3 - 2792*x**3/3 + 974408*x**2 + 4460*x. Factor c(j).
4*(j - 698)**2
Let x = 69 - 66. Suppose d - 7 = -2*o, -x*d + o - 5*o = -19. Let v(c) = -2*c**2 - 3. Let u(t) = t**2 + 2. Let l(s) = d*u(s) + 3*v(s). Factor l(k).
-(k - 1)*(k + 1)
Suppose 201 = 210*s - 113 - 106. Determine m, given that 0 - 4/21*m - 2/21*m**s = 0.
-2, 0
Let -79*v + 215*v - 1236 + 2471 - 234*v**2 + 36*v**4 + v**5 + 61*v**3 - 1235 = 0. What is v?
-34, -4, 0, 1
Suppose 4*a + 2*s - 60 = 0, -4*a + 3*s - 13 = -63. Let o be 1*12*(-1)/(-6). Factor -15*m**2 + 216 - 24*m**2 + 71*m**2 - 108*m - m**3 - a*m**o.
-(m - 6)**3
Let r(l) be the second derivative of l**5/35 - 4*l**4/21 - 8*l**3/21 + 32*l**2/7 - 79*l - 32. Solve r(s) = 0 for s.
-2, 2, 4
Let a be (8/(-4))/((-8)/3084). Find p such that -55*p**2 + a*p**2 - 353*p**3 + 16 + 213*p**3 - 96 - 64*p = 0.
-2/7, 2/5, 5
Let h(x) be the second derivative of x**7/70 - 4*x**6/25 + 31*x**4/10 - 97*x**3/10 + 63*x**2/5 - 7951*x. Determine q so that h(q) = 0.
-3, 1, 2, 7
Suppose -34*r + 7 = -33*r. Find a, given that 0*a**4 + 5*a - 6*a**2 + 12*a**3 - 3 - 17*a + r*a**4 + 2*a**4 = 0.
-1, -1/3, 1
Factor -94*f**2 - 13254*f - 1/6*f**3 + 0.
-f*(f + 282)**2/6
Let q = -24 + 24. Suppose q = 22*j - 23*j + 10. Suppose j*c**4 - 2*c**5 - 8*c**4 - c**3 + c**5 = 0. What is c?
0, 1
Let a(f) be the third derivative of f**5/160 + 15*f**4/64 - 31*f**3 - 133*f**2. Factor a(v).
3*(v - 16)*(v + 31)/8
Let z(f) = 26*f - 148 - 290 - 136 + 164 - 3*f. Let i be z(18). Let 8/11*y**3 - 4/11 - 10/11*y + 2/11*y**5 - 4/11*y**2 + 8/11*y**i = 0. What is y?
-2, -1, 1
Suppose -5*f = -4*l - 50, -2*l - 900 = -3*f - 870. Let 16/11*i**2 + 0*i + 18/11*i**3 + 2/11*i**4 + l = 0. What is i?
-8, -1, 0
Factor 220*r + 487 - 6*r**2 + 0*r**2 - 23.
-2*(r + 2)*(3*r - 116)
Let u(i) be the first derivative of 2*i + 17/9*i**3 + 17/6*i**2 + 127 + 1/15*i**5 + 7/12*i**4. Factor u(b).
(b + 1)**2*(b + 2)*(b + 3)/3
Let m(g) = -7*g**2 + 187*g + 483. Let l(b) = -12*b**2 + 364*b + 965. Let q(f) = -3*l(f) + 5*m(f). Suppose q(w) = 0. Calculate w.
-3, 160
Let r(f) = 2*f**2 + 430*f - 27130. Let m be r(-266). Factor 9/4*s + 3/8*s**m - 6.
3*(s - 2)*(s + 8)/8
Let m(h) be the second derivative of 26 + 39/40*h**5 + h**3 + 3/2*h**4 + 3/10*h**6 - 2*h + 1/28*h**7 + 0*h**2. Factor m(y).
3*y*(y + 1)**2*(y + 2)**2/2
Let c be -2*(6 - (-253)/(-22))*4/22. Find h such that -3*h - 2*h**3 + 11/2*h**c + 0 - 1/2*h**4 = 0.
-6, 0, 1
Let x be 836/49742 + 1761/1428. Determine c so that 3/2*c**2 + x*c - 3/2*c**4 - c**3 - 1/4*c**5 + 0 = 0.
-5, -1, 0, 1
Let w be (28/84)/(((-25)/45)/(165/(-198))). Factor -5/2*c**2 + 0 + w*c**4 + c**3 - 3*c.
c*(c - 2)*(c + 1)*(c + 3)/2
Let t(d) = -d + 1. Let z(q) be the second derivative of q**2 - 10/3*q**3 - 32*q + 0 + 1/6*q**4. Let k(y) = -12*t(y) + z(y). Factor k(c).
2*(c - 5)*(c + 1)
Let f(p) = -4*p**2 + 33*p + 745. Let x(r) = -19*r + 1. Let v(s) = f(s) - 5*x(s). Determine d so that v(d) = 0.
-5, 37
Solve 834*y + 4*y**3 - 1589*y + 10*y**2 + 691*y - 42*y**2 + 2*y**4 = 0 for y.
-4, -2, 0, 4
Let i = 207 - 207. Suppose -11*u - 30*u + 123 = i. Find r, given that -1/3*r**u + r**2 + 0 - 2/3*r = 0.
0, 1, 2
Let n = -4/41109 - -369989/82218. Factor -n - 25/6*z**2 + 1/6*z**3 - 53/6*z.
(z - 27)*(z + 1)**2/6
Suppose -1111*z - 3982*z = -20372. Suppose 3/2*r**z - 39*r**2 + 3/2*r**3 + 0 + 36*r = 0. Calculate r.
-6, 0, 1, 4
Factor 27/4*c**2 - 5*c - 1/4*c**3 - 39.
-(c - 26)*(c - 3)*(c + 2)/4
Let q = -553/40 + 76/5. Let z be (6/9)/((7/168)/((-24)/(-128))). What is b in b**2 - q*b + 3/8 + 1/2*b**z = 0?
-3, 1/2
Suppose -3*i = -4*h - i - 22, 0 = 4*h + 5*i - 13. Let k be 8 + h - (-4 + 5). Factor 0*j - 2/11*j**3 + 0*j**2 + 0*j**k + 2/11*j**5 + 0.
2*j**3*(j - 1)*(j + 1)/11
Let h(z) = 11*z**3. Suppose 2 + 2 = 4*v. Let l be h(v). Let c(r) = 14*r**2 + 11*r - 3. Let y(k) = -5*k**2 - 4*k + 1. Let q(j) = l*y(j) + 4*c(j). Factor q(u).
(u - 1)*(u + 1)
Let b(n) be the second derivative of -n**6/6 - 237*n**5/4 - 1175*n**4/6 - 3*n + 418. Factor b(a).
-5*a**2*(a + 2)*(a + 235)
Let r(q) be the third derivative of -q**6/120 + 3*q**5/20 - q**4/3 + 2*q**3/3 + 9*q**2. Let f be r(6). Factor f - 64 + 5*s**2.
5*s**2
Factor 1518 - j**3 - 27967*j**4 + 27968*j**4 - 494 - 832*j - 192*j**2.
(j - 16)*(j - 1)*(j + 8)**2
Let b(g) = -3*g + 1. Let j(t) = t**2 + 1503*t + 576086. Let y(o) = -15*b(o) + 3*j(o). Factor y(i).
3*(i + 759)**2
Let h = 758 + -363839/480. Let f(p) be the third derivative of 0*p**3 + 1/1680*p**7 - h*p**6 - 14*p**2 + 0*p**5 + 0*p**4 + 0 + 0*p. Suppose f(r) = 0. What is r?
0, 2
Let g = -337918 - -337921. Factor -1/3*l**g + 4/3 - l**2 + 0*l.
-(l - 1)*(l + 2)**2/3
Factor 673/10*z + 7/10*z**3 + 42/5 + 298/5*z**2.
(z + 1)*(z + 84)*(7*z + 1)/10
Factor 1/7*l**3 - 28316846592/7 + 27870912/7*l - 9144/7*l**2.
(l - 3048)**3/7
Let j(a) = 3*a**2 + a. Let n(s) = 37*s**2 + 19*s - 690. Let z(f) = -12*j(f) + n(f). Find i, given that z(i) = 0.
-30, 23
Factor 32 + 1/7*n**2 - 114/7*n.
(n - 112)*(n - 2)/7
Suppose z - 19 = -17. Let b be 3/3*(-2 - -3). Factor 3 + b - y**2 - 8*y + 5*y**z.
4*(y - 1)**2
Let t be 26/(-4)*(1 - (-1011)/(-9)). Let d = t + -721. Factor 2/3*n**2 - 10/3 + d*n.
2*(n - 1)*(n + 5)/3
Let q be ((-26)/65)/1*-5. Let c(r) be the third derivative of 1/3*r**3 - 13*r**q + 1/840*r**7 + 0*r - 1/40*r**5 + 1/480*r**6 - 1/24*r**4 + 0. Factor c(i).
(i - 2)*(i - 1)*(i + 2)**2/4
Suppose 119 = -7*f, 378*u = 373*u + 4*f + 88. Factor 2*d**2 + 8/3*d - 1/6*d**u + 0 + 0*d**3.
-d*(d - 4)*(d + 2)**2/6
Let w be (-13 - -13)/(2*(0 + -1)). Factor -94*r**2 + 13 + 187*r**2 + w*r + 32*r - 73 - 97*r**2.
-4*(r - 5)*(r - 3)
Factor 102*a**2 + 9*a**3 + 0*a**3 - 18*a**2 - 180*a - 3*