 2, 0 = 7*u + 5*s - 9. Suppose -5/7*m**u - 4/7 + 16/7*m - m**3 = 0. Calculate m.
-2, 2/7, 1
Let -26/3*y**4 + 0 + 170/3*y**2 + 8/9*y**5 - 286/9*y - 154/9*y**3 = 0. What is y?
-13/4, 0, 1, 11
Let o = -12765 - -12771. Let z(j) be the second derivative of -12*j + 0*j**2 + 0 + 3/80*j**5 + 1/40*j**o + 0*j**3 + 0*j**4. Factor z(n).
3*n**3*(n + 1)/4
Let a be (5/3 - 6/((-990)/(-935))) + 43/2. Factor -a*t - 1225/4 - 1/4*t**2.
-(t + 35)**2/4
Let m be ((-18)/12)/(-1*3/6). Suppose 0 = 4*a - 3*x - 8, m*x = 2*a + 3*a - 13. Find f such that 0*f - 5*f**2 + 5*f + a - 5*f = 0.
-1, 1
Let m(h) be the first derivative of -3380*h - 13 - 130*h**2 - 5/3*h**3. Factor m(z).
-5*(z + 26)**2
Let x = 2790 - 44637/16. Let b(k) be the first derivative of -1/2*k - 1/8*k**2 - 9 + 1/3*k**3 + x*k**4. Factor b(t).
(t + 1)**2*(3*t - 2)/4
Let i(d) be the third derivative of d**6/280 - 79*d**5/140 + 183*d**4/7 - 3960*d**3/7 - 2*d**2 + 561*d. Suppose i(w) = 0. Calculate w.
12, 55
Let q be (-470 + 469)/(1/(-7)). Let y(c) be the third derivative of -26*c**2 + 4/15*c**3 + 1/2100*c**q + 0 + 0*c**4 + 0*c**6 + 0*c - 1/75*c**5. Factor y(i).
(i - 2)**2*(i + 2)**2/10
Let k(b) be the second derivative of -b**7/14 + 14*b**6/25 + 21*b**5/100 - 61*b**4/10 - 64*b**3/5 - 48*b**2/5 + 910*b. Suppose k(c) = 0. Calculate c.
-1, -2/5, 4
Let p(d) be the third derivative of 0 - 1/16*d**6 - 3/40*d**5 - 1/140*d**7 + 99*d**2 + 0*d + 9/16*d**4 + 0*d**3. Suppose p(y) = 0. Calculate y.
-3, 0, 1
Let f(d) = 13*d**3 + 5*d**2 + 29*d - 29. Let q(h) = -21*h**3 - 6*h**2 - 30*h + 30. Let o(v) = 3*f(v) + 2*q(v). Factor o(t).
-3*(t - 3)*(t - 1)*(t + 3)
Let i be (-7)/(-105)*(62/217 - (-5)/(-42)). Let z(q) be the third derivative of 0*q + 0 - 1/120*q**6 - 1/9*q**3 - 37*q**2 + i*q**5 + 1/24*q**4. Factor z(p).
-(p - 1)*(p + 1)*(3*p - 2)/3
Let j be -32 + 24 + ((-15136)/(-960) - (3 - 5)/(-12)). Determine y so that -13/5*y**4 + y**3 - 3/5*y**5 + 9*y**2 + j*y + 8/5 = 0.
-4, -1, -1/3, 2
Let t(p) be the first derivative of 15/4*p**4 + 0*p - 165/2*p**2 - 490/3*p**3 - 191. Factor t(b).
5*b*(b - 33)*(3*b + 1)
Suppose 5*b = 3*s - 36, -3*s + 15 = 3*b + 3. Solve -12*x**2 + 5 - s*x - 8*x - 5 + 3*x**3 = 0.
-1, 0, 5
Let j be ((-5)/(-1 + -4))/((-5)/(-175)). Suppose 0 = 28*x - j - 133. Let 21/8*v**4 + 6*v + 3*v**2 - 6 - 3/8*v**5 - x*v**3 = 0. What is v?
-1, 2
Let v(j) be the first derivative of -11155/6*j**3 - 343/24*j**6 - 22575/16*j**4 - 162*j - 10 + 294*j**5 - 1665/2*j**2. Factor v(h).
-(h - 9)**2*(7*h + 2)**3/4
Let o(n) be the second derivative of 63 + 250/33*n**3 + 1/330*n**6 + n + 625/22*n**2 + 25/22*n**4 + 1/11*n**5. Factor o(f).
(f + 5)**4/11
Let z = -5560 + 5564. Let l(d) be the first derivative of -9 + 1/10*d**z + 0*d**2 + 0*d + 4/15*d**3. Suppose l(r) = 0. Calculate r.
-2, 0
Let c = 301647/35 - 60328/7. Factor -c*o**3 + 1/5 + 1/5*o - 1/5*o**2.
-(o - 1)*(o + 1)**2/5
Let d(g) be the third derivative of -1/1260*g**7 + 0*g + 1/120*g**6 + 0 - 14/9*g**4 + 207*g**2 + 32/3*g**3 + 1/15*g**5. Factor d(t).
-(t - 4)**3*(t + 6)/6
Suppose 0 = 4*q - m - 111, -81*m - 57 = -2*q - 80*m. Let p be (48/q)/(3 + (-11)/11). Factor -2/9*j**3 - 2*j**2 - 22/9*j - p + 2/9*j**4.
2*(j - 4)*(j + 1)**3/9
Let n(c) = -6*c**3 + c**2 + 3*c**2 + 17*c**4 + 5*c**2 - 5*c - 24*c**4 - c**2. Let d(i) = -i**4 - 2*i**2 + i. Let t(j) = 5*d(j) - n(j). Factor t(x).
2*x*(x - 1)**2*(x + 5)
Let v(k) be the third derivative of 0*k**3 - 2/175*k**7 + 1/25*k**6 + 0 - 8*k**2 + 0*k**4 - 4/75*k**5 + 1/840*k**8 + 0*k. Factor v(b).
2*b**2*(b - 2)**3/5
Let c(m) be the second derivative of 136*m + 0 - 4/3*m**2 + 49/6*m**4 + 8/9*m**3 + 9/2*m**5. Let c(a) = 0. Calculate a.
-1, -2/9, 2/15
Let w(o) be the first derivative of -3*o**4/4 + 194*o**3 + 2400*o**2 + 9696*o + 5519. Factor w(f).
-3*(f - 202)*(f + 4)**2
Suppose -5*f = 10, 2*f - 101 = 124*j - 129*j. Let h(g) be the first derivative of -3/2*g**4 + 74/3*g**3 - j - 120*g**2 + 72*g. Factor h(m).
-2*(m - 6)**2*(3*m - 1)
Let i(h) = 280*h**3 - 577*h**2 + 245*h + 64. Let b(z) = -112*z**3 + 231*z**2 - 98*z - 26. Let k(f) = 12*b(f) + 5*i(f). Solve k(n) = 0 for n.
-1/8, 1, 8/7
Let u(w) be the third derivative of -w**7/840 + w**6/30 + 4*w**5/5 - 71*w**2 + 2*w + 1. Factor u(j).
-j**2*(j - 24)*(j + 8)/4
Let b = 1617 + -1621. Let t(a) = 4*a + 25. Let v be t(b). Factor 12*d + 8/3 + v*d**3 + 18*d**2.
(3*d + 2)**3/3
Let l(n) be the first derivative of 0*n - 98 + 0*n**2 - 4/3*n**3 - 1/14*n**4. Factor l(a).
-2*a**2*(a + 14)/7
Let n(q) = 141*q**3 - 4*q**2 - q. Let m be n(2). Factor 66*g + 2*g**3 + 2793 + 2695 + 119*g**2 - 35*g**2 + m*g.
2*(g + 14)**3
Let n(a) be the first derivative of 2*a**6/75 - 34*a**5/125 - 11*a**4/50 + 34*a**3/75 + 9*a**2/25 - 1498. Find s, given that n(s) = 0.
-1, -1/2, 0, 1, 9
Let f(q) = -4*q - 14. Let d be (2 - 3)/(3/12). Let u be f(d). What is n in n**u + n**2 - 4*n + n + n**2 = 0?
0, 1
Factor -13/2*r**3 - 18 + 19/2*r**2 + 36*r.
-(r - 3)*(r + 2)*(13*r - 6)/2
Let v(k) be the third derivative of k**6/24 - 25*k**5/4 + 365*k**4/12 + 1088*k**2. Factor v(x).
5*x*(x - 73)*(x - 2)
Let c(q) = -q**3 + 8*q**2 + 36*q - 31. Let m be c(11). Factor -188*n**4 - 3*n**2 + 3*n**3 + 3*n**m + 375*n**4 - 191*n**4.
-n**3*(4*n - 3)
Suppose 0 = -3*g + 4 + 8. Find r such that -2*r**2 - 10*r**3 + 82*r**3 + 3*r**2 - 325*r**2 - 4*r**g = 0.
0, 9
Let w(l) be the first derivative of 1/6*l**3 + 0*l - 1/4*l**2 + 1. Find n, given that w(n) = 0.
0, 1
Let w(s) be the third derivative of s**9/423360 - s**8/70560 + s**7/35280 + s**5/30 + s**3/2 - 64*s**2. Let j(o) be the third derivative of w(o). Factor j(b).
b*(b - 1)**2/7
Let h be ((-54)/(-405)*15)/8. Factor -h*b**2 - 11/4*b - 5/2.
-(b + 1)*(b + 10)/4
Let b(g) be the third derivative of g**5/45 + 305*g**4/9 + 406*g**3/3 + 3*g**2 + 51. Solve b(l) = 0.
-609, -1
Factor -8/5*x**4 + 2/5*x - 23/5*x**3 + 0 - 13/5*x**2.
-x*(x + 1)*(x + 2)*(8*x - 1)/5
Let t(h) = 2*h**2 - 396*h - 8021. Let w be t(-19). Let 30*z**3 + 1875/2 + w*z**2 + 750*z + 3/2*z**4 = 0. What is z?
-5
Suppose -10*t = -5*t - 60. Suppose 0 = t*w - 6 - 18. Factor 21*a + 31*a**4 + 45*a**3 + 5*a**5 + 20*a**3 + 60*a**w - a - a**4.
5*a*(a + 1)**2*(a + 2)**2
Let k(j) = -2*j**2 + 59*j + 5. Let l(h) = -15*h - 7. Let f(i) = 2. Let m(b) = 6*f(b) + 2*l(b). Let c(p) = -2*k(p) - 5*m(p). Factor c(o).
4*o*(o + 8)
Let j(s) be the first derivative of -4*s**3/21 - 418*s**2/7 - 6471. Factor j(c).
-4*c*(c + 209)/7
Let y be (-4827)/46661 - 97/(-377). Factor -18/13 + 6/13*i + y*i**3 + 10/13*i**2.
2*(i - 1)*(i + 3)**2/13
Factor 632*c - 4*c**2 - 208*c**3 + 416 + 73*c**4 - 46*c**4 - 31*c**4 + 16*c**2.
-4*(c - 2)*(c + 1)**2*(c + 52)
Let u = 15689 + -15684. Let b be (1 + -3 - -7) + -3. Factor -4/3*j - 2/3*j**4 + 0 - 1/3*j**u + 4/3*j**b + j**3.
-j*(j - 1)**2*(j + 2)**2/3
Suppose -18 = 4*j - 5*d + 69, 0 = -3*j - d + 25. Suppose 0 - 4/5*h**3 - 2/15*h**4 - 6/5*h**j + 0*h = 0. What is h?
-3, 0
Let v = 11948/395373 + 1/11981. Let u(y) be the first derivative of -7 - 9/11*y - v*y**3 + 3/11*y**2. Solve u(c) = 0.
3
Let n be (-672)/280*(3 + (-23)/6). Suppose 169/9 + 26/9*h + 1/9*h**n = 0. Calculate h.
-13
Let x(v) be the third derivative of 2*v**7/105 - 73*v**6/30 + 259*v**5/3 + 1369*v**4/6 + 1314*v**2. What is z in x(z) = 0?
-1, 0, 37
Let s(t) be the first derivative of -15*t**4/2 + 115*t**3/3 - 35*t**2 - 15*t + 334. Determine b so that s(b) = 0.
-1/6, 1, 3
Solve -336/5 + 1104/5*u - 39/5*u**2 = 0.
4/13, 28
Suppose -12*x = 29*x - 58*x. Let m(z) be the second derivative of -1/28*z**4 + 1/14*z**3 + x*z**2 - 27*z + 0. Factor m(i).
-3*i*(i - 1)/7
Let u = 3798481/112 - 33915. Let p(g) be the second derivative of 9/16*g**3 + 0*g**2 - g - 3/4*g**4 + 33/80*g**5 - 1/10*g**6 + 0 + u*g**7. Factor p(j).
3*j*(j - 3)**2*(j - 1)**2/8
Suppose -74/9*m**2 + 290/3*m + 2/9*m**3 - 350 = 0. What is m?
7, 15
Let d(k) be the first derivative of -5*k**3/3 + 735*k**2/2 + 740*k - 4930. Determine m so that d(m) = 0.
-1, 148
Let m = -295 + 223. Let w be (-6)/(-8) + (11562/m)/(-41). Suppose -w*i + 2/3*i**4 - 10/3*i**3 + 4/3 + 6*i**2 = 0. What is i?
1, 2
Let w = -12325 - -12327. Let z(q) be the first derivative of 6 + q**3 + 3*q**w - 3/4*q**4 + 0*q. Factor z(l).
-3*l*(l - 2)*(l + 1)
Let s(y) be the first derivative of 2*y**3/3 + 67*y**2 - 136*y - 2354. What is j in s(j) = 0?
-68, 1
Let c(v) = -31*v**3 - 1842*v**2 + 3742*v + 11.