 o**3 - 5*o**2 - 29235 + r*o + 29244 = 0. What is o?
-1, 3
Let -5808 - 125*r**2 + 145*r**2 - 18*r**2 - 2900*r = 0. Calculate r.
-2, 1452
Suppose 0 = 11*a - 35 - 53, 3*c + 4*a - 47 = 0. Factor 0 + 3/2*q**4 - 1/2*q**c - 3/2*q**3 + 1/2*q**2 + 0*q.
-q**2*(q - 1)**3/2
Suppose -6 - 11/4*m**2 + 25/2*m = 0. Calculate m.
6/11, 4
Let t(g) be the third derivative of 1/10*g**4 + 0 + 4*g + 1/50*g**6 + 0*g**3 + 1/525*g**7 + 11/150*g**5 + 5*g**2. Factor t(u).
2*u*(u + 1)*(u + 2)*(u + 3)/5
Let r(k) = -110*k + 550. Let n be r(5). Let b(d) be the first derivative of 0*d**4 - 8/9*d**3 + n*d**2 + 4/15*d**5 + 2 + 4/3*d. Factor b(f).
4*(f - 1)**2*(f + 1)**2/3
Let c(m) be the first derivative of 92/3*m**3 - 12/5*m**5 + 48*m - 88*m**2 + 4*m**4 + 187. Determine n so that c(n) = 0.
-3, 1/3, 2
Let m(p) be the first derivative of -p**3/3 - 7*p**2/2 - 6*p + 6. Let v be m(-6). Suppose -1/3*q**3 + v*q - 1/3*q**2 + 0 = 0. What is q?
-1, 0
Let n = -163 - -168. Let 124*h**2 - 118*h**2 - h**n - h**5 + 10*h**3 + 0*h**3 + 2*h**4 = 0. Calculate h.
-1, 0, 3
Let r(t) be the third derivative of t**7/280 + 5*t**6/96 + 19*t**5/80 + t**4/4 + 16*t**3/3 + 82*t**2. Let v(m) be the first derivative of r(m). Factor v(f).
3*(f + 2)*(f + 4)*(4*f + 1)/4
Let l be 0/(-4) + -897 + 19 + -26. Let c = l - -2761/3. Factor -1/3*x**2 - c - 14/3*x.
-(x + 7)**2/3
Let p(l) be the second derivative of -285*l + 0*l**2 - 1/9*l**6 + 1/63*l**7 + 3/10*l**5 + 1 - 7/18*l**4 + 2/9*l**3. Factor p(q).
2*q*(q - 2)*(q - 1)**3/3
Let a be (((-1395)/(-930))/(18/40))/((-14)/(-9)). Factor -a*c + 25/7 - 9/7*c**2 - 1/7*c**3.
-(c - 1)*(c + 5)**2/7
Let u(o) be the first derivative of 165 + 23/20*o**5 + 25*o + 361/12*o**3 + 1/24*o**6 + 163/16*o**4 + 40*o**2. Factor u(h).
(h + 1)**3*(h + 10)**2/4
Let h(j) be the third derivative of -j**5/450 - j**4/15 + 589*j**3/45 - 798*j**2 - 2. Factor h(g).
-2*(g - 19)*(g + 31)/15
Find p such that -449*p**2 + 899*p - 1/3*p**3 - 1349/3 = 0.
-1349, 1
Let t(q) be the third derivative of q**5/300 + 11*q**4/2 + 3630*q**3 - 8*q**2 + 64*q. Determine z, given that t(z) = 0.
-330
Let n = -28 - -40. Let m = 4 + n. Suppose 10*h - 7*h**2 + 10*h - 2*h**2 + 5*h**2 - m = 0. What is h?
1, 4
Let s be 10/60 + 3/((-12510)/5339). Let d = 12/139 - s. Factor 0 + d*g**5 + 8/5*g**3 + 0*g - 16/5*g**2 + 4*g**4.
2*g**2*(g + 2)**2*(3*g - 2)/5
Suppose -17 = -3*d - c + 8, 12 = 2*d - 4*c. Let q be ((-96)/54)/16*(-18)/d. Factor 1/4*i - 1/2*i**2 + 1/4*i**4 + q*i**5 + 1/4 - 1/2*i**3.
(i - 1)**2*(i + 1)**3/4
Solve 1/5*c**4 + 191843/5*c**2 - 192721/5*c + 877/5*c**3 + 0 = 0 for c.
-439, 0, 1
Let n be (-3)/(-6) - 2/4. Let d = -1069/33 + 371/11. Factor -d*l**2 + 0 + n*l - 4/3*l**4 + 8/3*l**3.
-4*l**2*(l - 1)**2/3
Let t(w) = -w**2 + 8. Let z(s) = 5*s**2 + 258*s - 56. Let d(x) = 14*t(x) + 2*z(x). Factor d(y).
-4*y*(y - 129)
Let i = -850 + 3427/4. Let x be (-1705)/(-124) - (133/7 + -6). Factor -x*o**2 - i - 9/2*o.
-3*(o + 3)**2/4
Let j(u) be the second derivative of 25/66*u**4 - 588/11*u**2 + 9*u - 2 + 112/33*u**3 + 1/110*u**5. Factor j(c).
2*(c - 3)*(c + 14)**2/11
Let b(w) be the second derivative of -8*w**6/5 - 16914*w**5/5 - 7941121*w**4/4 + 1987395*w**3 - 1491075*w**2/2 + 1167*w. Solve b(x) = 0.
-705, 1/4
Let x(f) be the third derivative of f**6/200 - 2*f**5/5 + 24*f**4/5 + 2304*f**3/5 + 1406*f**2. Factor x(g).
3*(g - 24)**2*(g + 8)/5
Suppose -4*h = u - 6*u + 2025, 4*h = -20. Determine m so that m**2 + 16499 - 191*m + 2923 - u*m + 2482 + 3*m**2 = 0.
74
Let k(j) be the first derivative of 0*j + 0*j**2 - 7/30*j**4 - 114 + 2/75*j**5 - 16/45*j**3. Determine p so that k(p) = 0.
-1, 0, 8
Factor -389*a**5 + 261*a**5 - 8*a**4 + 285*a**5.
a**4*(157*a - 8)
Let r(v) = -2*v + 1. Suppose 2*t = 7 - 9. Let c be r(t). Factor 4*w**3 + 30*w**2 - 34*w**2 - 15*w + 0*w**c + 7*w.
4*w*(w - 2)*(w + 1)
Let n(o) = 8*o - 497. Let p(g) = 9*g - 496. Let f(l) = -4*n(l) + 5*p(l). Let w be f(38). Let 0 + 3/4*m**w + 0*m = 0. What is m?
0
Let y(t) be the third derivative of t**6/120 - 347*t**5/20 + 11310*t**4 - 135200*t**3/3 + 466*t**2. Suppose y(u) = 0. Calculate u.
1, 520
Let z be 5/6 + 392/336. Suppose 0 = -2*q + 4*q - 32. Factor -5*d**z - 6 + d + 3*d - 14 + q*d.
-5*(d - 2)**2
Let f(h) be the third derivative of h**7/27720 - h**6/7920 + 13*h**4/6 - h**3/3 - 295*h**2. Let m(q) be the second derivative of f(q). Factor m(k).
k*(k - 1)/11
Suppose -8*d + 3*d = 4*p - 15, -2*p + 9 = 3*d. Suppose 3 - 6 = -j. Let 18 + w**3 + 2*w**3 + j*w - 24*w + p*w**3 = 0. Calculate w.
-3, 1, 2
Suppose -15 = -f + t - 10, 0 = -3*t + 6. Let b be (f + -5 - (-10)/(-2))/(-1). Determine g so that -24/5*g - 4/5 + 49/5*g**b - 21/5*g**2 = 0.
-2/7, 1
Let n = 94 - 52. Suppose -27 = 5*d - n. Find f such that 67*f - 3*f**2 + d*f**3 - 75*f + f**3 - f**2 = 0.
-1, 0, 2
Suppose -9*y = -10*y - 15*y. Suppose y = 4*a - 2 - 6. Factor -2/7*b**a - 2/7*b**3 + 0*b + 0 + 2/7*b**4 + 2/7*b**5.
2*b**2*(b - 1)*(b + 1)**2/7
Let c = 59421 - 415122/7. Let u = c + -821/7. Factor 8/7*p + 4/7 + u*p**2.
4*(p + 1)**2/7
Let x = -1/333778 - -166891/667556. Solve 3*z - 2*z**2 + x*z**4 - 1/4*z**3 + 0 = 0 for z.
-3, 0, 2
Suppose -14 = -4*n + 26. Let o(w) = -21*w + 278. Let s be o(13). Solve 5 + 0*p**4 - 2*p**3 + n*p - 8*p**3 + 0*p**3 - s*p**4 = 0 for p.
-1, 1
Suppose -230/19*r**2 + 0*r - 232/19*r**3 + 0 - 2/19*r**4 = 0. Calculate r.
-115, -1, 0
Let g(x) = -137*x - 5615. Let n be g(-41). Factor 1/3*j**4 + 2*j**3 + 0*j + 3*j**n + 0.
j**2*(j + 3)**2/3
Factor 0*p + 1/5*p**3 - 37/5*p**2 + 0.
p**2*(p - 37)/5
Let l be (-65 + 46354/735)*-15. Suppose l*n**2 + 24389/3 + 841*n + 1/3*n**3 = 0. What is n?
-29
Determine u, given that -50*u**2 - u**3 + 46*u**2 - 64*u + 69*u**2 = 0.
0, 1, 64
Let r(c) be the first derivative of -118 + 1/3*c**3 + 49*c - 7*c**2. Solve r(p) = 0 for p.
7
Let s be (-296)/(-14) + (273/1092)/((-1)/28). Determine q so that -1/7*q**5 + 207/7*q**2 - 324/7 + 0*q + 17/7*q**4 - s*q**3 = 0.
-1, 3, 6
Determine s so that -12/17 + 10/17*s**2 - 10/17*s + 2/17*s**4 + 10/17*s**3 = 0.
-3, -2, -1, 1
Suppose 29*d**2 - 9*d - 39/2*d**4 + 8*d**3 + d**5 - 19/2 = 0. What is d?
-1, -1/2, 1, 19
Suppose -4*i + 12*i + v = 29, 34 = 4*i + 2*v. Let 0*q + 15*q**i - 29/2*q**3 - 1/2*q**4 + 0 = 0. What is q?
-30, 0, 1
Let a(b) be the third derivative of b**5/20 - 21*b**4/2 + 243*b**3/2 - 632*b**2. Factor a(p).
3*(p - 81)*(p - 3)
Let x(f) be the third derivative of -f**8/84 + 71*f**7/105 - 11*f**6/20 - 71*f**5/30 + 35*f**4/12 - 1023*f**2. What is z in x(z) = 0?
-1, 0, 1/2, 1, 35
Let f(z) be the second derivative of 15*z - 1/5*z**5 + 0 - 4*z**2 + 2/3*z**3 + 2/3*z**4. Factor f(l).
-4*(l - 2)*(l - 1)*(l + 1)
Let u(t) be the first derivative of -t**6/90 - 3*t**5/10 - 4*t**4/3 - 218*t**3/3 + 92. Let z(p) be the third derivative of u(p). Suppose z(w) = 0. What is w?
-8, -1
Let q be ((-20)/40)/((-36)/126). Suppose q*z + 0 + 1/4*z**2 = 0. What is z?
-7, 0
Let d(h) be the third derivative of -4320000/11*h**3 - 720/11*h**5 + 0 + 72000/11*h**4 - 1/1155*h**7 + 64*h + 4/11*h**6 - 2*h**2. Factor d(f).
-2*(f - 60)**4/11
Let g(t) be the first derivative of -6/7*t**2 + 6/35*t**5 - 1/14*t**6 + 15/28*t**4 - 15 - 10/7*t**3 + 24/7*t. Solve g(k) = 0.
-2, -1, 1, 2
Let v(l) = -14*l**2 - 9126*l + 9131. Let f(u) = 8*u**2 + 4562*u - 4565. Let x(q) = 9*f(q) + 5*v(q). Factor x(p).
2*(p - 2285)*(p - 1)
Let g = 68/55 - -9/55. Suppose 6 = 7*f - 50*b + 42*b, 4*b - 10 = -3*f. Suppose 1/5*h**f + 2 + g*h = 0. Calculate h.
-5, -2
Let h(l) be the second derivative of -1/5*l**5 + l**4 - 4 - l + 8/3*l**3 + 0*l**2. Factor h(o).
-4*o*(o - 4)*(o + 1)
Let 1/7*w**3 - 171/7*w + 170/7*w**2 + 0 = 0. Calculate w.
-171, 0, 1
Suppose 22*m - 3038 = -9*m. Suppose -101 + 99 - 62*b**3 - b**5 - 79 + m*b**2 - 17*b**4 + 63*b = 0. What is b?
-9, -1, 1
What is o in -7752*o + 196/3*o**3 + 20808 - 2/3*o**4 - 1454*o**2 = 0?
-6, 2, 51
Let v(s) be the first derivative of -1/16*s**4 - 65 - 9/8*s**2 + 5/6*s**3 + 0*s. Suppose v(c) = 0. Calculate c.
0, 1, 9
Let c(n) be the third derivative of n**5/30 - 113*n**4/12 + 180*n**3 - 103*n**2. Let c(l) = 0. Calculate l.
5, 108
Suppose 38*g - 29*g - 117 = 0. Suppose 0*q - g = 4*v - 5*q, -3*q = -2*v - 9. Suppose 0 - 9/2*x - 3/2*x**v + 6*x**2 = 0. What is x?
0, 1, 3
Determine q so that 384*q**5 + 1/2*q + 51/2*q**3 - 784*q**4 + 0 + 51/4*q**2 = 0.
-1/16, 0, 1/6, 2
Let p = 8