j**2 - 4*j**2 - l*j + 29*j + 22*j + 45.
-3*(j - 15)*(j + 1)
Let f(h) be the first derivative of 61/3*h**3 + 117/8*h**4 - 17*h**2 - 81/10*h**5 + 51 + 4*h. Suppose f(y) = 0. Calculate y.
-1, 2/9, 2
Let x(t) = t**3 - 2*t**2 - 12. Let y(m) = -7*m**3 - 4982*m**2 - 618018*m + 247968. Let j(h) = -3*x(h) + y(h). Factor j(r).
-2*(r + 249)**2*(5*r - 2)
Let i(y) be the first derivative of -6*y**5/35 - 177*y**4/28 - 76*y**3/7 + 663*y**2/14 - 36*y + 10030. Let i(w) = 0. Calculate w.
-28, -3, 1/2, 1
Let j be (-322)/(-72) - 6/27. Suppose 49 = -b + 5*i, 0 = -b + 2*i + 3721 - 3740. Solve j*p - b - p**2 = 0 for p.
1/4, 4
Let y(d) be the first derivative of 5*d**3 - 23*d**2/2 - 31. Let i(u) = 5*u**2 - 8*u. Let x(o) = 8*i(o) - 3*y(o). Factor x(p).
-5*p*(p - 1)
Let q(k) be the second derivative of 0*k**3 + k**6 + 0*k**2 + 5/42*k**7 + 0 + 5/2*k**4 + 11/4*k**5 - 84*k. Find b, given that q(b) = 0.
-3, -2, -1, 0
Let i(h) be the third derivative of h**5/180 + 113*h**4/72 + 2*h**2 + 35*h + 5. Factor i(q).
q*(q + 113)/3
Let p(k) = 9*k - 292. Let r be p(33). Suppose -358*w = -362*w, r*b + 4*w = 15. Factor -25/2 - 3*i**2 - 4*i**b + 20*i - 1/2*i**4.
-(i - 1)**2*(i + 5)**2/2
Let g(m) be the second derivative of 147*m**2 + 7*m**3 + 1/8*m**4 + 131*m + 0. Solve g(l) = 0 for l.
-14
Let k(u) = -u**4 - u - 1. Let x(a) = 10*a - 3 - 50*a - 21*a**2 + 10*a**2 - 15 - 19*a**2 - 6*a**3 - 4*a**4. Let g(z) = -6*k(z) + x(z). Factor g(m).
2*(m - 6)*(m + 1)**3
Let g(r) = -12*r**3 - 86*r**2 - 139*r - 72. Suppose -9*y = 47 - 92. Let q(v) = -8*v**3 - 58*v**2 - 93*v - 48. Let h(p) = y*g(p) - 7*q(p). Factor h(a).
-4*(a + 1)*(a + 2)*(a + 3)
Solve -3/2*a**4 + 54 + 72*a - 9*a**3 + 21/2*a**2 = 0 for a.
-6, -2, -1, 3
Let q = -92 + 95. Factor 140*x + 10*x**q + 4*x**3 + 86*x**2 + 80 - 33*x**2 + 27*x**2 + x**3.
5*(x + 2)**2*(3*x + 4)
Let q = -639 + 647. Let j(l) be the second derivative of 0 + 0*l**2 - 1/66*l**4 + 1/110*l**5 + 1/165*l**6 - q*l - 1/33*l**3. Factor j(n).
2*n*(n - 1)*(n + 1)**2/11
Let m(r) be the second derivative of -5/34*r**4 + 20/17*r**2 + 1/255*r**6 - 1/85*r**5 - 4/51*r**3 + 0 - 27*r. Solve m(o) = 0.
-2, 1, 5
Let v(u) be the third derivative of u**7/42 - u**6/12 - 7*u**5/12 + 5*u**4/3 + 10*u**3 - 2*u**2 - 675. Suppose v(d) = 0. Calculate d.
-2, -1, 2, 3
Suppose 120 = 3*r + 5*r. Factor 3*l**4 - 12*l**2 - 4*l**4 - 12*l - r*l**2 + l**3 + 35*l**2.
-l*(l - 2)**2*(l + 3)
Let n(v) be the third derivative of -v**6/720 + 119*v**5/360 + v**4/144 - 119*v**3/36 + 1763*v**2. Factor n(k).
-(k - 119)*(k - 1)*(k + 1)/6
Let f(m) be the second derivative of m**5/510 - 26*m**4/51 + 2704*m**3/51 - 157*m**2/2 + 222*m. Let g(q) be the first derivative of f(q). Factor g(u).
2*(u - 52)**2/17
Let k = -45 - -47. Let f = -36035 - -324329/9. Determine b, given that -8/3*b - 32/9*b**k + 0 - f*b**3 - 2/9*b**4 = 0.
-3, -2, 0
Suppose 0 = 3*g - 10 + 1. Let d be (-18)/12*(9 - 190/20). Factor -9/4*b - 3/4 - 9/4*b**2 - d*b**g.
-3*(b + 1)**3/4
Let y = -2224 - -2227. Let s be -4 + 8*1/2. Determine f so that 2/9*f**y + s + 0*f**2 - 2/9*f = 0.
-1, 0, 1
Determine l, given that 1/4*l**2 + 0 - 5/2*l = 0.
0, 10
Let l be 2*2 - 0/(112/7). Let p(o) be the third derivative of 1/7*o**3 + 1/630*o**5 - 14*o**2 + 0 - 1/42*o**l + 0*o. Let p(b) = 0. What is b?
3
Let t be (2/8)/(432/(-240)) + 4/18. Let i(h) be the third derivative of -7/18*h**3 + t*h**4 + 1/180*h**5 + 0 + 0*h + 20*h**2. Let i(n) = 0. What is n?
-7, 1
Let u = 77 + -15. Factor -120*g + 118 + 65*g**2 - 5*g**3 + u - 120*g.
-5*(g - 6)**2*(g - 1)
Determine p, given that -10/7*p**4 + 0*p - 8/7*p**2 + 0 - 16/7*p**3 - 2/7*p**5 = 0.
-2, -1, 0
Let k(z) be the second derivative of 41*z + 2 - 1/6*z**4 + 1/3*z**3 + 2*z**2. Suppose k(o) = 0. What is o?
-1, 2
Determine q so that 6/11*q**2 - 6/11*q + 2/11 - 2/11*q**3 = 0.
1
Let l(v) be the first derivative of -3 - 27/5*v**2 + 2/15*v**3 - 56/5*v. Factor l(u).
2*(u - 28)*(u + 1)/5
Let d(z) be the first derivative of -405*z**3 + 5*z**2 + 2954. Factor d(u).
-5*u*(243*u - 2)
Let v be 68/(-14) + ((-5)/3)/((-12)/72). Factor 8/7*b**3 + 54/7*b + 27/7 + v*b**2.
(2*b + 3)**3/7
Let o(b) = b**2 + 22*b + 2. Let y be o(-22). Suppose -7*g = 2*k - 3*g + y, -k - 5*g = 7. Determine i so that -4/3*i - 16/9*i**2 + 2*i**4 + 4/3*i**k - 2/9 = 0.
-1, -1/3, 1
Factor 10546*f + 534*f**2 + 38997 - 2*f**3 + 13742*f - 21623 + 29090 + 5*f**3.
3*(f + 2)*(f + 88)**2
Let o(h) be the first derivative of h**6/6 - 2*h**5/5 - 5*h**4 + 10*h**3 + 99*h**2/2 - 108*h + 3273. Determine c, given that o(c) = 0.
-3, 1, 3, 4
Solve -297413 + 77854 - 264569 - 2*b**2 - 1968*b = 0.
-492
Suppose 11*b = 49 + 83. Let i(j) be the first derivative of 35 + j**4 + 8*j**3 - b*j**3 - 4*j**3 - 16*j + 18*j**2. Factor i(u).
4*(u - 4)*(u - 1)**2
Let x(p) be the first derivative of p**3/21 - 17*p**2/14 + 66*p/7 - 879. Factor x(s).
(s - 11)*(s - 6)/7
Let t be 223725/53694 + (-2)/(-6). Factor 15/4*f**2 + 3/4 - t*f.
3*(f - 1)*(5*f - 1)/4
Suppose 95*h - 534 = -36*h - 47*h. Let c(s) be the third derivative of 1/12*s**4 + 0*s + 10*s**2 + 1/90*s**5 + 0 + 2/9*s**h. Find i such that c(i) = 0.
-2, -1
Let a(w) be the third derivative of w**6/300 + 7*w**5/15 + 137*w**4/60 + 68*w**3/15 - 4087*w**2. Factor a(k).
2*(k + 1)**2*(k + 68)/5
Let s(r) be the second derivative of 1/3*r**4 - 2/15*r**6 + 0 - 2/21*r**7 + 1/5*r**5 + 0*r**3 + 0*r**2 - 29*r. Factor s(a).
-4*a**2*(a - 1)*(a + 1)**2
Factor -1/9*f**2 - 5570/9*f - 7756225/9.
-(f + 2785)**2/9
Let b(o) be the second derivative of 1/285*o**6 + 8/57*o**4 - 4/19*o**3 - 2*o + 14 + 0*o**2 - 7/190*o**5. Solve b(y) = 0.
0, 2, 3
Solve 10/7*u + 1/7*u**2 - 17 = 0.
-17, 7
Let z(r) be the third derivative of -2*r**2 + 11*r + 17/12*r**4 - 1/30*r**5 + 0*r**3 + 0. Factor z(s).
-2*s*(s - 17)
Let g(v) = -19*v**2 + 74*v + 207. Let q(t) = 86*t**2 - 297*t - 828. Let f(z) = 18*g(z) + 4*q(z). Factor f(m).
2*(m + 3)*(m + 69)
Let m(d) be the first derivative of -39/2*d - 15/2*d**3 - 3/8*d**4 - 44 - 81/4*d**2. Determine x, given that m(x) = 0.
-13, -1
Determine p, given that 2*p + 85/6 - 1/6*p**2 = 0.
-5, 17
Let n(j) be the second derivative of -j**5/130 - 110*j**4/13 - 48400*j**3/13 - 10648000*j**2/13 + j - 69. Find q such that n(q) = 0.
-220
Let a be 632/48 - ((-4)/10)/((-3)/5). Let y(m) be the second derivative of -a*m**2 - 5/3*m**3 + 0 + 5*m - 1/12*m**4. Determine t, given that y(t) = 0.
-5
Let q(n) be the first derivative of 1/3*n**3 + 1600*n - 50 - 40*n**2. Factor q(k).
(k - 40)**2
Let q = 12189/33550 + 1/3050. Let z be (-3)/((-81)/6 + 8). Factor z*g - 2/11*g**2 - q.
-2*(g - 2)*(g - 1)/11
Suppose d - 60 = -14*d. Factor 125*j**3 - 864*j**3 - 3456*j - d*j**5 + 7776*j**2 + 146*j**4 - 1061*j**3.
-2*j*(j - 12)**3*(2*j - 1)
Suppose 0 = 573*c - 579*c + 36. Factor 68*p**2 + 23*p - 28*p**3 + 217*p - 4*p**4 - 70 + c + 13*p**3.
-(p - 4)*(p + 4)**2*(4*p - 1)
Let y(x) be the first derivative of -5*x**4/4 - 35*x**3 - 50*x**2 - 8283. Suppose y(j) = 0. Calculate j.
-20, -1, 0
Let j(d) be the first derivative of -d**5/20 + d**4/2 - 2*d**3 + 4*d**2 - 108*d - 65. Let r(m) be the first derivative of j(m). Let r(p) = 0. Calculate p.
2
Suppose -16*v**4 + 0*v + 416*v**2 - 1204/3*v**3 + 0 + 4/3*v**5 = 0. Calculate v.
-13, 0, 1, 24
Let r(f) be the third derivative of 0*f**3 + 13/1020*f**6 - 2*f**2 - 13/170*f**5 + 9/68*f**4 + 46*f - 1/1785*f**7 + 0. Find y such that r(y) = 0.
0, 1, 3, 9
Let k = 1009 + -1003. Suppose -4*p - 22 = -5*a, -k*a - 5*p = -2*a + 7. Factor 4/15 + 2/5*j + 2/15*j**a.
2*(j + 1)*(j + 2)/15
Let n(m) be the third derivative of -33*m**2 + 0*m + 0 + 28/15*m**3 + 1/150*m**5 - 11/60*m**4. Find v, given that n(v) = 0.
4, 7
Let z = 5717 - 5714. Let i(f) be the third derivative of -3/8*f**4 - f**z + 3/20*f**5 - 6*f**2 + 0 + 1/20*f**6 + 0*f. Let i(p) = 0. Calculate p.
-2, -1/2, 1
Let h be (-5 - 1*(4 + -377)) + -4. Let l = -4000/11 + h. Find u, given that 0*u + 2/11*u**4 + 2/11*u**2 + 0 + l*u**3 = 0.
-1, 0
Let s(g) = g**3 - 48*g**2 - 49*g + 3. Let u be s(49). Suppose 13*q**3 - 116*q + 11*q**3 - 39*q**u + 3*q**3 - 100*q**2 - 28 = 0. What is q?
-7, -1, -1/3
Suppose 0 = -4*h - 3*p - 223 - 682, -5*p = 4*h + 911. Let b be 2*(-340)/h + 3/(-4). Factor -72/7*z**2 - 44/7*z**3 - b*z - 8/7*z**4 + 32/7.
-4*(z + 2)**3*(2*z - 1)/7
Let h(a) be the third derivative of -a**5/15 + 3*a**4/2 - 12*a**3 - 10*a**2 + 173*a. Fac