 4*r**4 - 300*r**3 - 229 - 118 - 924*r**2 = 0 for r.
-1, 78
Let g(m) = -2*m**2 - 12*m + 55. Let j be g(5). Let s be 2/4*j/(-22). Factor -1/4*c**3 - c**2 - s*c - 1/2.
-(c + 1)**2*(c + 2)/4
Let f(q) = 26*q**2 - 444*q + 38. Let b be f(17). Let t be 1 + 4 + (-117)/27. Let -4/3*l**2 - 8/3*l + 2 - t*l**b + 8/3*l**3 = 0. Calculate l.
-1, 1, 3
Suppose 24 = -6*h + 72. Let n(j) = -j**2 + 1. Let a(p) = 10*p**2 + 80*p + 792. Let v(x) = h*n(x) + a(x). Determine b, given that v(b) = 0.
-20
Let n = 302 - 304. Let y be (26 - 27) + (-6)/n. Factor -3/5*l**y + 0 - 9/5*l.
-3*l*(l + 3)/5
Let q(d) = 4*d**3 - 17*d**2 + 19*d - 3. Let c be -1*2/4 + (-9)/2. Let j(g) = 8*g**3 - 35*g**2 + 37*g - 5. Let s(y) = c*q(y) + 3*j(y). Factor s(l).
4*l*(l - 4)*(l - 1)
Let g be 0/((-20)/((-1400)/74) + ((-74)/70 - -1)). Determine p, given that 14/3*p**5 - 34/9*p**3 - 8/9*p + g + 40/9*p**2 - 40/9*p**4 = 0.
-1, 0, 2/7, 2/3, 1
Let q be (-14)/120 + 30 + 5960/(-200). Let s(j) be the first derivative of -15 + q*j**3 + 16*j + 2*j**2. Factor s(f).
(f + 8)**2/4
Let p(h) be the first derivative of 2*h**3/5 + 588*h**2/5 + 57624*h/5 + 1739. Factor p(f).
6*(f + 98)**2/5
Suppose -2*s + 28 = -4*i, 17198*s - 2*i + 36 = 17202*s. Factor -s*x - 24 - 2/3*x**2.
-2*(x + 3)*(x + 12)/3
Let h(p) be the third derivative of 2*p**7/105 + 2*p**6/15 - 9*p**5/5 + 19*p**4/3 - 32*p**3/3 - 989*p**2. Let h(s) = 0. What is s?
-8, 1, 2
Let k(v) be the second derivative of -1/20*v**4 + 0*v**2 + 8 - 2/15*v**3 + 1/100*v**5 - 3*v. What is i in k(i) = 0?
-1, 0, 4
Let m(p) = -23*p**2 + 38*p - 71. Let g(a) = -18*a**2 + 36*a - 69. Let s(z) = -4*g(z) + 3*m(z). Solve s(b) = 0 for b.
3, 7
Let o(r) be the first derivative of -r**4/6 - 8*r**3/3 - 5*r - 183. Let i(c) be the first derivative of o(c). Factor i(n).
-2*n*(n + 8)
Let l(x) be the first derivative of x**6/360 + x**5/120 - x**3/3 - 7*x + 22. Let o(u) be the third derivative of l(u). What is p in o(p) = 0?
-1, 0
Let o be ((-1)/8)/(-6*(-9)/(-39204)). Let g be (44/14)/(1*(-64)/(-336)). Suppose -o - g*n - 3/4*n**2 = 0. Calculate n.
-11
Let n(o) be the third derivative of o**11/110880 - o**9/6720 - o**8/3360 + 22*o**5/15 + 167*o**2. Let p(l) be the third derivative of n(l). Factor p(s).
3*s**2*(s - 2)*(s + 1)**2
Suppose 12 = 21*r - 17*r, -3*l + 3*r - 72 = 0. Let q be (l/280*-8)/3. Factor q*f**2 + 1/5 + 2/5*f.
(f + 1)**2/5
Let y(o) be the first derivative of -o**8/6720 - o**7/1680 - o**6/1440 - 29*o**3 - 228. Let b(d) be the third derivative of y(d). Factor b(r).
-r**2*(r + 1)**2/4
Let p(t) = -52*t**4 - 248*t**3 - 7*t**2 + 326*t. Let k(r) = -17*r**4 - 83*r**3 - 2*r**2 + 108*r. Let i(c) = -19*k(c) + 6*p(c). Factor i(x).
x*(x - 1)*(x + 8)*(11*x + 12)
Suppose 500 + 29*m**2 - 49*m**2 - 81*m**2 - 5*m**4 + 70*m**3 - 200*m - 20*m**3 - 4*m**2 = 0. What is m?
-2, 2, 5
Let u(q) be the first derivative of 3/8*q - 1/4*q**2 + 12 + 1/24*q**3. Factor u(g).
(g - 3)*(g - 1)/8
Let c(v) be the first derivative of 2/7*v**4 + 50 - 2/7*v**2 - 2/3*v**3 + 0*v. Factor c(m).
2*m*(m - 2)*(4*m + 1)/7
Let w(n) = 40*n**2 - 4*n - 3. Let i be w(-1). Let c + 41*c**2 + i*c**2 + c**3 - 84*c**2 = 0. What is c?
0, 1
Let j(r) be the first derivative of -r**4/10 - 182*r**3/15 - 179*r**2/5 - 178*r/5 - 28. Factor j(z).
-2*(z + 1)**2*(z + 89)/5
Let w = -2/55713 - -3538/18571. Let k(f) be the first derivative of -23 + 4/7*f - 1/14*f**4 + 1/7*f**2 - w*f**3. Determine y, given that k(y) = 0.
-2, -1, 1
Factor 80*z - 5*z**2 + 261 + 289 - 870.
-5*(z - 8)**2
Let t be 13/6 + (-200)/48 + 5. Solve t - 6*x + 20 + 13 - 2*x**2 = 0.
-6, 3
Let n(f) be the second derivative of -f**5/12 + 325*f**4/24 - 25*f**2 + 148*f. Let s(o) be the first derivative of n(o). Factor s(z).
-5*z*(z - 65)
Let b(d) be the first derivative of -45*d**4/2 - 42*d**3 - 19*d**2 - 2*d + 240. What is i in b(i) = 0?
-1, -1/3, -1/15
Let f(l) = 5*l**2 - 867*l. Let u(m) = -45*m**2 + 7800*m. Let o(j) = -55*f(j) - 6*u(j). Factor o(g).
-5*g*(g - 177)
Let f(h) be the first derivative of 2*h**3/33 + 2434*h**2/11 + 2962178*h/11 + 1888. Factor f(i).
2*(i + 1217)**2/11
Let g(v) = 549*v + 2*v**3 - 560*v + 10 + 2*v**3. Let d be g(1). Determine c, given that 2/5*c**d + 0 - 2/5*c**2 + 0*c = 0.
0, 1
Let c be (7059/(-68237))/(18/(-58)). Factor -4/3*h**2 + 2/3*h**3 + c*h**4 + 0 - 8/3*h.
h*(h - 2)*(h + 2)**2/3
Let o(a) be the first derivative of a**6/1800 + a**5/120 + a**4/20 + 2*a**3/3 + 51. Let v(z) be the third derivative of o(z). Factor v(w).
(w + 2)*(w + 3)/5
Let o(u) be the second derivative of -3*u**5/25 - u**4/20 + 25*u**3/2 + 45*u**2 - 1651*u. What is a in o(a) = 0?
-5, -5/4, 6
Let i be (3 + -5 + 1)*-3. Solve 20*k**i - 15*k**2 - 260*k + 10 - 5*k**5 + 5*k**2 + 245*k = 0.
-2, -1, 1
Let l(i) = i**3 + 8*i**2 + 5*i + 7. Let n(r) = r - 10. Let f be n(7). Let s(o) = -o + 1. Let d(z) = f*l(z) + 21*s(z). Solve d(g) = 0.
-6, -2, 0
Let t be (-122)/(-488)*(-20 - 0)*4/(-200)*6. Find n such that 7/5*n**4 + n**2 + 19/5*n**3 + 0 - t*n**5 - 4/5*n = 0.
-1, 0, 1/3, 4
Suppose -1141 = -28*y - 1085. Let c(n) be the second derivative of 0 + 2/15*n**3 + 1/5*n**y + 1/30*n**4 - 11*n. Suppose c(p) = 0. What is p?
-1
Let a(f) be the third derivative of 0*f + 1/90*f**5 + f**2 - 56 + 0*f**3 + 1/36*f**4. Factor a(r).
2*r*(r + 1)/3
Let f(d) = 2*d**2 - 21*d + 54. Let u be f(6). Solve 5 + u*v**2 - 1 - 8*v**2 + 3*v**2 + 1 = 0.
-1, 1
Let k(n) = 2*n**2 - 169*n + 5. Let h(b) = b**2 - 170*b + 4. Let u(w) = -5*h(w) + 4*k(w). Factor u(j).
3*j*(j + 58)
Let m(b) be the first derivative of -128*b**2 - 4/3*b**3 - 4096*b + 4. Determine z, given that m(z) = 0.
-32
Factor -5 - 145/2*s**2 - 155/2*s.
-5*(s + 1)*(29*s + 2)/2
Suppose -10*k + 5 = -11*k, 4*k = -c - 6. Let f(p) be the first derivative of 0*p + 0*p**2 + 2/27*p**3 + c. Factor f(v).
2*v**2/9
Let a(d) = -2*d**3 + 54*d**2 - 56*d + 21. Let o be a(27). Let s = o - -1493. Factor 6/13*y**s - 2/13*y**3 + 0 - 4/13*y.
-2*y*(y - 2)*(y - 1)/13
Let v(u) be the first derivative of u**4/30 - 2*u**3/45 - 4*u**2/15 + 8*u/15 - 982. Find d, given that v(d) = 0.
-2, 1, 2
Let t = 24 - 26. Let x be (t - (-5 + -95))*7/77. Determine v so that x - 28/11*v + 2/11*v**2 = 0.
7
Let m(s) be the third derivative of s**7/420 - 17*s**6/240 + 13*s**5/24 + 17*s**4/48 - 11*s**3/2 + 5*s**2 + 17*s + 6. Suppose m(p) = 0. What is p?
-1, 1, 6, 11
Suppose -61*h = 14*h - 1200. Suppose -h = 38*y - 46*y. Factor -6 + 13/2*v - 1/2*v**y.
-(v - 12)*(v - 1)/2
Suppose -5 = l + 6*b - 2*b, 0 = -l + 5*b + 13. Factor -l*c - 1081*c**2 + 1105*c**2 + 4*c**3 - 25*c.
4*c*(c - 1)*(c + 7)
Let x = 264 + -263. Let b be (-40)/30 + x/(3/6). Factor -1/3 + 2/3*u**3 - 4/3*u - 4/3*u**2 + 5/3*u**4 + b*u**5.
(u - 1)*(u + 1)**3*(2*u + 1)/3
Let j = 88 + -104. Let f = -14 - j. Factor -95*h**3 + 186*h**3 - 8*h**f - 93*h**3 - 6*h.
-2*h*(h + 1)*(h + 3)
Suppose -5*l - 141 = -n + 3*n, -12 = l - 5*n. Let q be (-130)/495 + 2/l*-6. Solve -8/11*s**2 - 10/11*s - q*s**3 - 4/11 = 0.
-2, -1
Let -636*v - 1/6*v**2 - 606744 = 0. What is v?
-1908
Suppose 722*y**3 + 177*y**2 - 8*y**4 + 19*y**2 + 352*y**2 - 207*y + 25*y = 0. What is y?
-1, 0, 1/4, 91
Suppose -5*v + 5*u + 40 = 4*u, 0 = -4*v + u + 31. Determine y, given that 15 - 7 - 5*y - 4*y + v*y**3 + 4 - 15*y**2 + 3*y**4 = 0.
-4, -1, 1
Factor -1428/5 - 2/5*s**2 + 22*s.
-2*(s - 34)*(s - 21)/5
Suppose -9*j + 37 = n, -2872*j + 2867*j + 2*n - 5 = 0. Suppose 52/3 + 1/3*o**j - 16*o + 3*o**2 = 0. What is o?
-13, 2
Let q(x) = -x**3 - 20*x**2 - 31*x + 26. Let c be q(-19). Suppose -251*n = -c*n. Determine l so that 0*l**4 + 1/8*l**5 - 1/4*l**3 + 1/8*l + 0*l**2 + n = 0.
-1, 0, 1
Let w be (-17 - 1)*(5 - (-51)/(-9)). Factor w*n - n**2 - 35*n + 32*n.
-n*(n - 9)
Let g be ((1632/2240)/51)/((-6)/(-42)). Find y, given that -1/5*y + g*y**2 + 0 = 0.
0, 2
Let k(r) = 15*r**2 + 12084*r - 12301881. Let u(b) = 42*b**2 + 36263*b - 36905642. Let a(y) = -17*k(y) + 6*u(y). Factor a(d).
-3*(d - 2025)**2
Suppose -4*d + 24 = 23*o - 21*o, -36 = o - 4*o. Factor -2/7*c**3 + 0 + 8/7*c + d*c**2.
-2*c*(c - 2)*(c + 2)/7
Find y, given that 341 + 4897*y**2 - 4442*y**2 - 145*y**3 - 421 + 520*y = 0.
-1, 4/29, 4
Solve -3860659 + 152*d - 35*d + 3860659 + 114*d**2 - 3*d**3 = 0 for d.
-1, 0, 39
Suppose n + 2*n + 2*d + 14 = 0, 0 = 4*n - 3*d - 4. Let z be 20/25*(-5)/n. Let 0*f**5 + f**5 + 41*f**z - 3*f**3 - 43*f**2 = 0. Calculate f.
-1, 0, 2
Let f(