 - 11*o(m). Let c(r) = 0. What is r?
2/7, 395
Let z be (13572/2639)/((-75)/(-14)). Let m = -328/19 - -3122/95. Let 0 - z*p - m*p**4 + 8*p**5 - 558/25*p**3 - 208/25*p**2 = 0. Calculate p.
-2/5, -1/4, 0, 3
Let m(l) be the first derivative of -l**6/90 - 11*l**5/180 - 5*l**4/72 + l**3/9 - 30*l**2 + 236. Let o(q) be the second derivative of m(q). Solve o(x) = 0.
-2, -1, 1/4
Let l(y) = -23*y**3 + 22*y**2 + 71*y + 56. Let h(d) = 88*d**3 - 89*d**2 - 285*d - 223. Let s(f) = -6*h(f) - 23*l(f). Suppose s(j) = 0. What is j?
-25, -2, -1
Factor 1317*r + 3*r**2 + 55469 + 46837 - 9732 - 2397*r + 4626.
3*(r - 180)**2
Let c(x) be the second derivative of 16/21*x**3 + 2 - 1/42*x**4 + 1/105*x**6 - 12/7*x**2 + 19*x - 2/35*x**5. Find o, given that c(o) = 0.
-2, 1, 2, 3
Let y be (-156)/104*(9 - 1 - 14030/1725). Solve -y*f**4 - 3/5*f**2 - f + 4/5 + f**3 = 0.
-1, 1, 4
Let z = 793 - 795. Let t be (z/(-16))/(45/180). Factor -t*x**2 - 2 - 2*x.
-(x + 2)**2/2
Let 8496/13*s**2 - 38016/13*s + 6/13*s**4 - 27648 - 406/13*s**3 = 0. Calculate s.
-13/3, 24
What is s in 3500/3 + 100*s - 5/3*s**2 = 0?
-10, 70
Let o = -4393/246 - -739/41. Suppose -4/3 - 1/3*u**2 + o*u**4 - 1/2*u**3 + 2*u = 0. Calculate u.
-2, 1, 2
Suppose -510 + 198 = -26*w. Let a be (-9)/30*(0 - w). Factor 8/5*o**3 - a - 10*o**2 + 84/5*o.
2*(o - 3)**2*(4*o - 1)/5
Let b(q) = -2*q**2 + 6*q + 2. Let u be b(3). Factor -24*j**u - 245*j - 52*j**3 - 5*j**4 - 80 - 43*j**3 - 231*j**2 + 0*j**3.
-5*(j + 1)**3*(j + 16)
Let 0 - 1051/6*l - 1/3*l**3 + 701/2*l**2 = 0. Calculate l.
0, 1/2, 1051
Let a(l) be the second derivative of 48*l**2 - 68/9*l**3 + 202*l - 1/9*l**4 + 0. Determine t so that a(t) = 0.
-36, 2
Let s = 571 + -568. Factor -8*w**s + 2*w**4 + 24*w**2 - 46*w**2 - 16 + 16*w**2 + 28*w.
2*(w - 4)*(w - 1)**2*(w + 2)
Let l = 1706715 + -5120065/3. What is n in 64/3*n**2 + l*n + 25/3 = 0?
-5/8
Suppose -31*g - 322 = -3*v - 36*g, 4*g - 112 = -v. Let c be v/182 - (1 + 36/(-21)). Determine w so that 9/7 - c*w**2 + 3/7*w - 3/7*w**3 = 0.
-3, -1, 1
Let z = 13547/45 + -301. Let w(d) be the second derivative of -1/135*d**6 + 5*d - z*d**5 - d**2 + 1/27*d**4 + 4/9*d**3 + 0. Determine t so that w(t) = 0.
-3, 1
Suppose -25*l + 22 = -14*l. Let m be (-20)/(-35)*7/l. Find k such that 0 - 4/5*k**3 + 8/5*k - 4/5*k**m = 0.
-2, 0, 1
Let o be (-58)/(-16) - (-216)/576. Let s(b) be the third derivative of 5/3*b**3 + 0*b - 1/12*b**5 + 0 + 2*b**2 - 5/24*b**o. Determine d, given that s(d) = 0.
-2, 1
Let y(l) = 3*l**3 - 3*l**2 - l + 4. Let r be y(-4). Let z = r - -235. Factor 0*o**2 - 4/5*o**z - 2/5 + 2/5*o**4 + 4/5*o.
2*(o - 1)**3*(o + 1)/5
Let x be (21/35)/((441/40)/49). Factor 2/9*n**2 + x*n - 56/9.
2*(n - 2)*(n + 14)/9
Let n = 11407 + -11402. Let q(b) be the third derivative of 0*b - 6*b**2 + 1/180*b**n + 2/9*b**3 + 0 - 5/72*b**4. Solve q(r) = 0.
1, 4
Let s(p) be the first derivative of 162 + 17/23*p**2 + 60/23*p + 2/69*p**3. Determine g, given that s(g) = 0.
-15, -2
Factor -2/7*b**2 - 172/7*b + 174/7.
-2*(b - 1)*(b + 87)/7
Let o(a) be the second derivative of 25*a**7/21 + 55*a**6/9 - 71*a**5/15 - 88*a**4/9 - 32*a**3/9 + 15*a + 84. Determine x, given that o(x) = 0.
-4, -2/5, -4/15, 0, 1
Let c(h) be the third derivative of -h**7/1260 + h**6/240 + h**5/18 - 7*h**4/12 + 20*h**3/9 - 164*h**2 - 2. Let c(s) = 0. Calculate s.
-5, 2, 4
Let h be -25 + 22 + (-15)/(-1). Factor h*a**2 + 20*a - a**2 - 18 - 13*a**2.
-2*(a - 9)*(a - 1)
Factor 126*p**2 + 2700 + 34/5*p**3 + 990*p + 2/15*p**4.
2*(p + 6)*(p + 15)**3/15
Suppose 0 = 54*k - 50*k - 4*n + 4, 0 = k - 2*n + 2. Factor -2/7*r**2 - 26/7*r + k.
-2*r*(r + 13)/7
Factor -1131*h - 1905 + 5*h**2 + 555*h + 391*h + 805*h.
5*(h - 3)*(h + 127)
Let h = 112 + -110. Solve 3*i**4 - 30*i + 2*i**3 - 38*i**h + 21*i**2 - 26*i**3 - 40*i**2 = 0.
-1, 0, 10
Let d(s) be the third derivative of -5/6*s**3 + 0 - 1/3*s**6 - 26*s**2 + 0*s + 5/14*s**7 + 5/3*s**4 - 7/6*s**5. Determine u so that d(u) = 0.
-1, 1/5, 1/3, 1
Solve -11*g**3 + 1/2*g**4 + 11*g + 39/2*g**2 - 20 = 0 for g.
-1, 1, 2, 20
Let a(l) = -7*l - 31. Let o be a(-5). Let y - 32*y - o*y**2 + 19*y = 0. What is y?
-3, 0
Let n(a) be the third derivative of -1/120*a**6 - 1/72*a**4 + 0*a + 0 + 1/630*a**7 + 106*a**2 + 1/60*a**5 + 0*a**3. Factor n(b).
b*(b - 1)**3/3
Let k(q) = 7*q**4 - 73*q**3 - 816*q**2 + 891*q + 9. Let v(l) = l**4 + l**3 - 2*l**2 + l + 1. Let g(b) = k(b) - 9*v(b). Factor g(j).
-2*j*(j - 1)*(j + 21)**2
Let k(x) be the first derivative of -x**7/126 + x**5/20 - x**4/18 + 83*x - 10. Let v(a) be the first derivative of k(a). Factor v(q).
-q**2*(q - 1)**2*(q + 2)/3
Let q(v) = 120*v**3 + 1075*v**2 - 6700*v + 10890. Let d(g) = -11*g**3 - 98*g**2 + 609*g - 990. Let j(n) = -65*d(n) - 6*q(n). Find m, given that j(m) = 0.
-22, 3
Suppose c = -5*d + 4, -6*c - 4*d = -10*c - 32. Let z be 10/15 + c/36. Suppose 0 + 1/2*y**2 - 1/2*y**3 + 1/2*y**5 + 0*y - z*y**4 = 0. Calculate y.
-1, 0, 1
Let h be 1527/2545*(1 - -2). What is n in -h*n**2 + 12/5 - 3/5*n**4 - 12/5*n**3 + 12/5*n = 0?
-2, -1, 1
Let u(g) be the first derivative of -g**3 + 189*g**2/2 + 390*g - 6671. Determine w, given that u(w) = 0.
-2, 65
Let c(r) = r**2 - 10*r - 21. Let v be c(12). Suppose 0*j = v*g + j - 2, -4*g = -j - 12. Solve -2*o**g + 8 - 9 + 5*o**2 - 2 = 0 for o.
-1, 1
Suppose 0 = d + 24*d + 3750. Let v be (40/d)/(((-8)/25)/4). Determine k, given that 25/3 + 1/3*k**2 - v*k = 0.
5
Let f(d) be the second derivative of 0 + 3*d**2 + 13*d - d**3 - 9/20*d**5 - 11/8*d**4. Let y(n) be the first derivative of f(n). Factor y(w).
-3*(w + 1)*(9*w + 2)
Let n**2 + 120*n - 71*n**2 - 768108*n**3 + 768113*n**3 = 0. What is n?
0, 2, 12
Suppose 7*m + 172 - 312 = 0. Suppose 4*l + 5*u - 25 = 5*l, -4*u = -3*l - m. Find v, given that -12/5*v**3 - 4/5*v**4 + l*v**2 + 0 + 16/5*v = 0.
-2, 0, 1
Let s(z) be the first derivative of -z**6/330 + z**5/55 + z**4/44 - 3*z**3/11 - 83*z + 72. Let q(d) be the first derivative of s(d). Solve q(g) = 0.
-2, 0, 3
Let j = -88 + 91. Let h(i) be the second derivative of i - 1/84*i**7 + 0*i**6 - 1/12*i**4 - 1/4*i**j + 1/2*i**2 + 1/10*i**5 + 0. What is p in h(p) = 0?
-2, -1, 1
Let l(y) = 4*y**2 - 215*y + 967. Let s be l(49). Determine w so that -91/2*w**2 + 40*w**4 - s*w**3 + 27*w - 7/2 = 0.
-1, 1/4, 7/5
Factor 464 - 4/5*w**2 + 564/5*w.
-4*(w - 145)*(w + 4)/5
Find i such that -28/3*i**2 + 14/3*i + 10/3*i**3 + 4/3 = 0.
-1/5, 1, 2
Factor 2989*c**2 + 4*c**5 + 2293*c**2 - 73*c**3 + 372*c + 108 + 60*c**4 + 337*c**3 - 4810*c**2.
4*(c + 1)**3*(c + 3)*(c + 9)
Suppose -4*p + 5*r = -0*p + 1, -r = -3*p + 13. Let l(k) = -9*k - 111. Let q be l(-14). Factor -15*m - 1 + p + 5*m**3 - q.
5*(m - 2)*(m + 1)**2
Determine h, given that 22626*h**2 - 31350*h**2 - 300*h**3 + 297*h**3 - 6342348*h = 0.
-1454, 0
Let p(c) = 6*c**3 - 92*c**2 - 94*c - 18. Let b(l) = -19*l**3 + 278*l**2 + 283*l + 63. Let o(h) = -2*b(h) - 7*p(h). Factor o(r).
-4*r*(r - 23)*(r + 1)
Let y(m) be the second derivative of -1/90*m**6 + 0 + 0*m**2 + 1/12*m**5 + 31*m - 1/12*m**4 - 1/2*m**3. Factor y(f).
-f*(f - 3)**2*(f + 1)/3
Suppose 7353 = 6*k + 7305. Let d(h) be the second derivative of 3/100*h**5 + 1/12*h**4 - 1/10*h**3 - 1/150*h**6 - 2/5*h**2 + k - h. Solve d(n) = 0 for n.
-1, 1, 4
Let t = 36286186/2116695 + 2/302385. Solve 2/7*l**2 - t*l + 1800/7 = 0.
30
Suppose 312 = -123*u + 201*u. Let p(x) = -x**3 - 3*x**2 + x + 6. Let v be p(-3). Factor 1/4*y**u - 3/2*y**3 + 1 + 13/4*y**2 - v*y.
(y - 2)**2*(y - 1)**2/4
Let t(m) be the second derivative of m**5/300 - m**4/60 + 71*m**2/2 - 17*m - 3. Let p(w) be the first derivative of t(w). Factor p(h).
h*(h - 2)/5
Find y such that -51/2*y - 15*y**2 - 12 - 3/2*y**3 = 0.
-8, -1
Suppose -694 = -4*c + 3*f, -167 = -c + 4*f - 0*f. Factor -36*v - 88*v**2 - 67*v**2 + 11*v + c*v**2 + 5*v**3.
5*v*(v - 1)*(v + 5)
Let p(t) = 41*t + 660. Let j be p(-16). Let n(f) be the second derivative of 0 - 5/4*f**j - 1/4*f**5 - 5/2*f**3 + 29*f - 5/2*f**2. Factor n(l).
-5*(l + 1)**3
Let r be 1/(-14)*-2*(-1120)/(31040/(-194)). Factor -r - 5/3*g**3 - 11/3*g - 13/3*g**2.
-(g + 1)**2*(5*g + 3)/3
Suppose 4*y - 460 = -3286*j + 3283*j, -y + 3*j = -190. Factor -100 + 17/2*d**3 - 1/2*d**4 - y*d - 21*d**2.
-(d - 10)**2*(d + 1)*(d + 2)/2
Let h(m) be the first derivative of -1/2*m**4 + 0*m - 12*m**3 + 0*m**2 + 46. Suppose h(q) = 0. What is q?
-18, 0
Suppose -