 u?
-3, -2, -1, 1
Let r(h) = 2*h**2 - 61*h + 22. Let d be r(10). Let j = -388 - d. Suppose 0*l**2 + 4/9*l**3 + j*l + 0 = 0. Calculate l.
0
Let n(o) be the second derivative of -35*o + 0*o**2 - 9/2*o**4 - 1/20*o**6 + 0 + 9/10*o**5 + 0*o**3. Factor n(q).
-3*q**2*(q - 6)**2/2
Let l = -474209/2 - -237109. Factor -3/2*h + 3/8*h**2 - l.
3*(h - 6)*(h + 2)/8
Suppose -32*h = -26*h + 69*h. Let s(b) be the first derivative of 0*b**4 - 3 + 3/40*b**5 + 3/8*b**2 + h*b - 3/8*b**3. Factor s(v).
3*v*(v - 1)**2*(v + 2)/8
Suppose 66*n = 186 + 78. Let m be (-69)/(-9) - (-1)/3. Suppose -m*k + 5*k**2 - 33*k - n*k = 0. Calculate k.
0, 9
Suppose -2*q - 3*n + 16 = -27, 3*n = 5*q - 97. Let v be -13 - 2/(64/(-456)). Factor q*j + 0 + 10*j**2 + v*j**3.
5*j*(j + 4)**2/4
Let d(k) = -k**2 - 10*k - 9. Let f be d(-8). Let z be f/(-2)*(-7)/((-196)/(-32)). Factor 10*v - 8*v**3 - v**5 + 4*v**2 - 2*v**5 + v**5 + 4 - 8*v**z + 0.
-2*(v - 1)*(v + 1)**3*(v + 2)
Factor 0*m**3 + 0*m**2 + 0 - 198/13*m**5 + 4/13*m**4 + 0*m.
-2*m**4*(99*m - 2)/13
Determine x, given that -87/5*x**2 + 2304/5 + 96*x + 3/5*x**3 = 0.
-3, 16
Let u(y) be the third derivative of 1/2*y**5 + 2/21*y**7 - 2*y**2 + 3/8*y**6 + 0*y**3 + 5/24*y**4 + 0*y + 10. Factor u(x).
5*x*(x + 1)**2*(4*x + 1)
Let h = 15278 + -15275. Factor n + 1/4 + 3/2*n**2 + n**h + 1/4*n**4.
(n + 1)**4/4
Let a = 93300/13 - 466344/65. Find g such that 2/5*g**2 - 14/5 - 27/5*g + 28/5*g**3 + a*g**4 - 1/5*g**5 = 0.
-1, 1, 14
Let b(c) = -8*c**3 + 110*c**2 + 228*c + 12. Let o(m) = -m**3 + 2. Let q(l) = b(l) - 6*o(l). Factor q(j).
-2*j*(j - 57)*(j + 2)
Let c be 40860/63560*(66/4 + 1). Factor 0 - 3*v - c*v**3 - 21/4*v**4 - 3/4*v**5 - 39/4*v**2.
-3*v*(v + 1)**3*(v + 4)/4
Suppose -5*n + 12 = -2*j, -4*n - 3*j + 16 = -3*n. Let 50*v**2 - 12*v + 12*v**3 - 54*v**2 + 7*v**4 - 3*v**n = 0. Calculate v.
-3, -1, 0, 1
Let j(g) be the first derivative of 0*g + 3/17*g**2 + 80 + 1/34*g**4 + 8/51*g**3. Solve j(r) = 0.
-3, -1, 0
Let v(c) = -476*c - 10946. Let q be v(-23). Solve 0 - 10/3*f**3 - 28/3*f**q + 0*f + 2/3*f**4 = 0 for f.
-2, 0, 7
Let h(n) = 8*n**2 - 42. Let r(t) be the third derivative of 11*t**5/12 - 295*t**3/6 - 43*t**2 - 2. Let m(s) = 20*h(s) - 3*r(s). Factor m(z).
-5*(z - 3)*(z + 3)
Let l(g) be the second derivative of -91*g + 1/66*g**4 + 2/11*g**3 + 8/11*g**2 + 0. Solve l(s) = 0.
-4, -2
Let p(l) be the first derivative of -145*l**4/16 - l**3/2 + 145*l**2/8 + 3*l/2 - 10021. Factor p(o).
-(o - 1)*(o + 1)*(145*o + 6)/4
Let k(s) = 7*s**3 - 81*s**2 + 151*s - 77. Let p(x) = 8*x**3 - 80*x**2 + 148*x - 76. Let a(w) = 6*k(w) - 5*p(w). Find b such that a(b) = 0.
1, 41
Let r(i) be the second derivative of -i**7/42 - i**6/8 + i**5/12 + 5*i**4/8 + 9*i**2/2 - i + 9. Let b(k) be the first derivative of r(k). Factor b(m).
-5*m*(m - 1)*(m + 1)*(m + 3)
Let i(f) = 8*f**3 + 162*f**2 + 34*f - 118. Let m be i(-20). Solve -14/3*s**m - 6*s**3 + 0 - 4/3*s - 10/3*s**4 - 2/3*s**5 = 0.
-2, -1, 0
Let v(h) be the third derivative of -h**6/180 - 2*h**5/9 - 53*h**4/36 - 34*h**3/9 + 1894*h**2. Factor v(y).
-2*(y + 1)*(y + 2)*(y + 17)/3
Let j(g) be the second derivative of -7*g**7/36 + 511*g**6/180 - 109*g**5/15 - 157*g**4/18 - 8*g**3/3 - 2951*g. Find k, given that j(k) = 0.
-2/7, 0, 3, 8
Let v(w) = -5*w**3 - 20*w**2 - 4*w - 13. Let a be v(-4). Let h(f) be the first derivative of 7*f + 30 - a*f**2 - 1/3*f**3. Factor h(z).
-(z - 1)*(z + 7)
Suppose -93*s + 3 = -3*a - 90*s, 4*s - 4 = 5*a. Find b such that 1/2*b**4 + 0 - 3/2*b**3 + 2*b + a*b**2 = 0.
-1, 0, 2
Let v(h) = 3*h**2 - 8*h - 8. Let l be v(-1). Let 15*r**2 + 6*r**5 - 17*r**4 + 6 + l*r + 27*r**3 + 38*r**4 - 6 = 0. What is r?
-1, -1/2, 0
Solve 0 - 4/5*f + 42/5*f**4 - 2*f**5 - 58/5*f**3 + 6*f**2 = 0 for f.
0, 1/5, 1, 2
Let -85/3*l**2 + 346/3*l + 2/3*l**3 - 152/3 = 0. Calculate l.
1/2, 4, 38
Let l(k) = 5*k**3 + 55*k**2 - 130*k + 3. Let f(p) = -24*p**3 - 276*p**2 + 648*p - 14. Let y(q) = 3*f(q) + 14*l(q). Let y(s) = 0. Calculate s.
-31, 0, 2
Let t(h) be the second derivative of 11/14*h**2 - 1 - 23/42*h**3 - 15*h + 13/84*h**4 - 1/140*h**5. Factor t(a).
-(a - 11)*(a - 1)**2/7
Suppose -48 - 1762*a - 3254 - 2*a**2 - 214 = 0. Calculate a.
-879, -2
Let g(q) = -2*q**3 + 2*q**2 + 4*q. Suppose 114*o - 77 = 121*o. Let a(u) = u**3 - u**2 - 2*u. Let d(v) = o*a(v) - 6*g(v). Find t such that d(t) = 0.
-1, 0, 2
Let f(s) = -7891*s. Let j be f(0). Factor -3/8*a**5 + 3/4*a**2 + j*a + 9/8*a**3 + 0*a**4 + 0.
-3*a**2*(a - 2)*(a + 1)**2/8
Let w(k) be the first derivative of 27848*k**4/5 + 21712*k**3/3 - 1407*k**2/5 + 18*k/5 + 1062. Factor w(l).
2*(l + 1)*(236*l - 3)**2/5
Let p be 141/94*(-2 + 2 + 4). Solve -5*s**5 - 4*s**4 - 27799*s**2 + 27809*s**2 + s + 4*s**5 - p = 0 for s.
-3, -2, -1, 1
Let f(n) be the third derivative of n**7/70 + 23*n**6/40 - 7*n**5 - 2469*n**2. Factor f(k).
3*k**2*(k - 5)*(k + 28)
Let f be (48/20)/((-21)/(-42)). Factor -9*d + 18/5*d**2 + f + 3/5*d**3.
3*(d - 1)**2*(d + 8)/5
Let m(i) be the first derivative of i**6/40 - i**5/8 + 3*i**4/16 - i**3/12 + 67*i + 20. Let g(x) be the first derivative of m(x). Factor g(f).
f*(f - 2)*(f - 1)*(3*f - 1)/4
Let a(u) = -31*u**3 + 32*u**2 - 65*u - 5. Let s(p) = 56*p**3 - 65*p**2 + 131*p + 9. Let x(q) = -9*a(q) - 5*s(q). Suppose x(i) = 0. Calculate i.
0, 2, 35
Let d(r) = 8*r**3 - 57*r**2 - 138*r - 67. Let h(b) = 135 + 115*b**2 - 40*b**3 + 275*b + 50*b**3 - 25*b**3. Let f(g) = 5*d(g) + 3*h(g). Factor f(w).
-5*(w - 14)*(w + 1)**2
Let h(q) be the first derivative of q**9/3024 - q**8/420 + q**7/280 + 13*q**3 + q**2/2 + 9. Let g(t) be the third derivative of h(t). Factor g(r).
r**3*(r - 3)*(r - 1)
Let m(z) be the first derivative of z**3/3 + 67*z**2 + 393*z + 5374. Find g such that m(g) = 0.
-131, -3
Let -8712 - 126*u**4 + 528*u - 1488*u**2 + 3154*u**2 + 2*u**5 + 4860*u**2 + 1782*u**3 = 0. What is u?
-2, 1, 33
Let k(w) be the third derivative of -w**8/2184 + 16*w**7/455 - 263*w**6/390 - 40*w**5/13 - 625*w**4/156 - 4827*w**2. Let k(h) = 0. Calculate h.
-1, 0, 25
Let r(j) be the third derivative of j**5/30 + 65*j**4/6 - 131*j**3/3 + 1214*j**2. Factor r(c).
2*(c - 1)*(c + 131)
Suppose -3*t + 72 = -27*t. Let m(v) = v**4 + v**3 + 2*v. Let x(o) = 37*o**3 - 84*o**2 + 75*o - 12. Let k(f) = t*x(f) + 12*m(f). Find p, given that k(p) = 0.
1/4, 1, 3, 4
Let n(c) = 5*c**2 + 31*c - 24. Let d be n(-7). Solve 10 - d*l**2 + 0*l**2 + 38*l + l**2 + 2*l**2 - 7*l**2 = 0 for l.
-1/4, 5
Let k(m) be the third derivative of -m**5/160 - 23*m**4/16 + 93*m**3/16 - 2622*m**2. Factor k(g).
-3*(g - 1)*(g + 93)/8
Determine p, given that 6/7*p + 3/7*p**2 - 9/7 = 0.
-3, 1
Factor 122/3 + 40*u**2 + 81*u - 1/3*u**3.
-(u - 122)*(u + 1)**2/3
Suppose 121*x = 113*x - 16. Let y be 4/18 + (x - 516/(-270)). Solve -4/5 + 2/3*t - y*t**2 = 0 for t.
2, 3
Let t = 554/2247 - 6/107. Let l(i) be the first derivative of -6/7*i - 11 + t*i**3 + 5/7*i**2. Solve l(f) = 0 for f.
-3, 1/2
Let z(y) = -9*y**2 - 36*y + 3. Let g be z(-4). Let w(n) be the second derivative of -1/2*n**2 + 1/8*n**g + 1/48*n**4 + 0 - 12*n. Factor w(x).
(x - 1)*(x + 4)/4
Let a be 6739/7911 - 1/3. Let b(u) be the first derivative of -2*u - a*u**3 + 1/18*u**4 + 5/3*u**2 + 16. Let b(t) = 0. What is t?
1, 3
Let k(z) be the first derivative of -48/5*z**2 - 32/15*z**3 + 6/5*z**4 - 32/5*z - 8 + 2/5*z**5. Determine g, given that k(g) = 0.
-2, -2/5, 2
Let n = -98 + 192. Factor 20*c + 1083 + n*c + 6*c**2 - 3*c**2.
3*(c + 19)**2
Let t(a) be the third derivative of -a**5/210 + 71*a**4/42 - 184*a**3/7 + 2*a**2 + a - 595. Factor t(q).
-2*(q - 138)*(q - 4)/7
Let n = 49136 + -339704/7. Let u = n + -602. Factor 20/7*a**2 + 2/7*a**3 + u*a + 16/7.
2*(a + 1)**2*(a + 8)/7
Let f(n) be the second derivative of 11/294*n**7 - 8/21*n**4 + 0 - 5/7*n**2 + 1/5*n**6 - 202*n - 37/70*n**5 + 3/2*n**3. Find r such that f(r) = 0.
-5, -1, 2/11, 1
Let 1/2*h**2 - 7*h + 12 = 0. What is h?
2, 12
Let c(z) be the second derivative of -z**7/14 - 13*z**6/10 - 21*z**5/4 + 49*z**4/4 + 2*z - 106. Factor c(l).
-3*l**2*(l - 1)*(l + 7)**2
Let f(t) be the third derivative of -50/3*t**3 - 1/6*t**7 + 0 + 11*t**2 + 29/12*t**6 + 39/4*t**5 + 20/3*t**4 + 0*t. Solve f(a) = 0 for a.
-1, 2/7, 10
Let q(g) = -39*g + 59. Let r be q(-9). Let s = 2900/7 - r. Factor -2/7*h**3 - 150/7*h - s*h**2 - 250/7.
-2*(h + 5)**3/7
Let j(z) be the third derivative of 0*z +