*v + 1)
Let r be 2324/(-84) - (-241 + 208). Let 0 + 1/3*a**4 - r*a + 7/3*a**3 - 10/3*a**2 = 0. Calculate a.
-8, -1, 0, 2
Let j = 2711/6 + -901/2. Let x(y) be the first derivative of 29 + j*y + 1/24*y**4 - 1/3*y**2 - 1/9*y**3. Find v, given that x(v) = 0.
-2, 2
Let k(h) be the second derivative of 0*h**3 + 1/10*h**6 - 9/10*h**5 + 0*h**2 - 6*h + 5/4*h**4 + 5. Find z, given that k(z) = 0.
0, 1, 5
Let n = 184067/70 - 36805/14. Factor 3/5 - 4/5*d - n*d**2 + 4/5*d**3.
(d - 1)*(d + 1)*(4*d - 3)/5
Let d(i) be the second derivative of i**4/4 + 890*i**3 + 1188150*i**2 - 21*i + 8. Determine q so that d(q) = 0.
-890
Let q(d) be the second derivative of 8 + 2/5*d**3 - 5*d - 18/5*d**2 + 1/20*d**4. Factor q(u).
3*(u - 2)*(u + 6)/5
Let n be 303/40 - (4 - (-58)/(-16)). Let s = -7602/5 - -1526. Let s*a**2 - n*a**3 + 8/5*a + 0 = 0. What is a?
-2/9, 0, 1
Factor 0 - 1/2*r**4 + 0*r**2 + 3/2*r**3 - 2*r.
-r*(r - 2)**2*(r + 1)/2
Suppose 0 = -86*p + 43*p + 43. Let c(q) be the first derivative of 1/2*q - 1/6*q**3 + 0*q**2 + p. Factor c(t).
-(t - 1)*(t + 1)/2
Let i(h) be the third derivative of -h**6/480 + 67*h**5/48 - 630*h**2. Find t such that i(t) = 0.
0, 335
Let p(v) = v**3 + 5*v**2 + 2. Let f be p(-5). Suppose f*j + 29 = 5*s, 5*s + 0 - 21 = -2*j. Factor -731*n**2 - n + s + 736*n**2 + 11*n.
5*(n + 1)**2
Let r(b) be the third derivative of b**6/420 - b**5/15 + 15*b**4/28 - 3*b**2 + 144*b. Factor r(y).
2*y*(y - 9)*(y - 5)/7
Suppose 96*k - 93*k + 3 = 0. Let n be k/((12/18*-12)/3). Factor 9/4 + n*v**2 + 15/8*v.
3*(v + 2)*(v + 3)/8
Let r(t) be the third derivative of -5*t**8/672 - 3*t**7/28 - t**6/2 - 5*t**5/6 + 27*t**2 - 23*t. Factor r(u).
-5*u**2*(u + 2)**2*(u + 5)/2
Let f be 10 + 6/(-15)*-10. Let i(w) = -3*w + 45. Let c be i(f). Let -52*b**c - 7*b**4 - 108*b**2 - 4*b**5 - 16*b + 156*b**2 + 31*b**4 = 0. Calculate b.
0, 1, 2
Let f = 243475 + -243473. Suppose 0*z + 0 + 4/7*z**f - 2/7*z**3 = 0. Calculate z.
0, 2
Let t(v) be the third derivative of -v**7/90 + 67*v**6/36 - 1328*v**5/15 - 64*v**4 - 63*v**2. Solve t(x) = 0.
-2/7, 0, 48
Solve 3/5*z**4 - 3/5*z**2 + 1/10*z**5 + 4/5*z**3 + 0 - 9/10*z = 0 for z.
-3, -1, 0, 1
Let g(n) = 104*n - 123. Let l be g(10). Let q = -17419/19 + l. Factor -2/19*r**2 + 2/19*r**3 + 0 - q*r.
2*r*(r - 2)*(r + 1)/19
Determine l, given that 1/5*l**5 + 74/5*l**2 - 61/5*l + 18/5 + 4/5*l**4 - 36/5*l**3 = 0.
-9, 1, 2
Let b(c) = -c**2 - 223*c - 3886. Let r(s) = -s**2 - 442*s - 7765. Let u(x) = -5*b(x) + 2*r(x). Factor u(p).
3*(p + 25)*(p + 52)
Suppose p - 10 = -4*s, s - 5*p + 5410 - 5444 = 0. Solve -32/5*n**2 - 8/5*n**s + 6*n**3 + 6/5*n + 4/5 = 0.
-1/4, 1, 2
Let w = -163811/66 - -2482. Let o(y) be the third derivative of 0*y - 1/165*y**6 + 0 + 1/1155*y**7 + 1/66*y**5 + 0*y**3 - w*y**4 - 7*y**2. Factor o(t).
2*t*(t - 2)*(t - 1)**2/11
Let r(p) be the third derivative of p**7/735 - 13*p**6/420 - 32*p**5/105 - 17*p**4/21 + 8477*p**2. Factor r(g).
2*g*(g - 17)*(g + 2)**2/7
Let l(s) be the third derivative of s**5/210 + 11*s**4/42 + 5*s**3 + 81*s**2 - 1. Solve l(y) = 0.
-15, -7
Suppose -11*p + 577 = -8*p + 4*f, -5*f + 769 = 4*p. Let c = p + -191. Suppose c - 10/11*v**3 + 8/11*v + 16/11*v**2 = 0. Calculate v.
-2/5, 0, 2
Suppose 0 = d + 3*d + v - 62, 0 = 2*d - 2*v - 26. Solve 0*r**2 + 21*r - 12*r + 3 - d*r + 3*r**2 = 0 for r.
1
Let l(c) be the first derivative of 44 + 0*c**4 + 0*c**3 - 35*c + 2/5*c**5 + 0*c**2 - 2/15*c**6. Let x(r) be the first derivative of l(r). Factor x(q).
-4*q**3*(q - 2)
Let u = -259 - -259. Let j(i) = i**2 - 68*i - 439. Let q be j(74). Determine w so that -4/5*w - 1/5*w**q - 3*w**3 - 13/5*w**2 + u - 7/5*w**4 = 0.
-4, -1, 0
Find f, given that -6/11*f**2 - 1076/11*f + 720/11 = 0.
-180, 2/3
Let l(v) = -3*v**3 + 36*v**2 - v + 15. Let j be l(12). Factor -56*d**4 - 240*d - 184*d**2 - 10*d**j - 39*d**3 + 52*d**4 - 100 + d**3.
-4*(d + 1)**2*(d + 5)**2
Factor 84*u**2 - 2668/7*u**3 + 0 - 36/7*u + 2116/7*u**4.
4*u*(u - 1)*(23*u - 3)**2/7
Let w(u) = 88*u**2 - 1478*u - 304. Let p be w(17). Suppose 1/7 - 1/7*x**p + 0*x = 0. What is x?
-1, 1
Let p(a) be the third derivative of -a**8/84 - 8*a**7/21 - 31*a**6/15 + 44*a**5/15 + 61*a**4/2 - 96*a**3 + 2*a**2 - 78. Let p(y) = 0. Calculate y.
-16, -3, 1
Let s(x) be the third derivative of -x**5/40 - 9*x**4/16 + 35*x**3/2 - 982*x**2. What is v in s(v) = 0?
-14, 5
Let r(q) be the third derivative of 0 + 0*q + 2/39*q**3 - 41/156*q**4 - 7/130*q**5 + 115*q**2. Find b, given that r(b) = 0.
-2, 1/21
Suppose 291 = z + 261. Suppose 0 = -3*p + 9*p - z. Factor 8/11*x**4 + 2/11*x**p + 0 + 10/11*x**3 + 4/11*x**2 + 0*x.
2*x**2*(x + 1)**2*(x + 2)/11
Let v = -353110 + 1765553/5. Let 18/5*a**3 + 36/5*a**2 + 0 + v*a**4 + 24/5*a = 0. Calculate a.
-2, 0
Suppose 5*v + 24 = -4*j, -17*j + 21*j + 24 = -v. Let a(t) be the first derivative of -10 + v*t - t**2 - 2/3*t**3. Determine y, given that a(y) = 0.
-1, 0
Let s = -2016 + 2018. Suppose 0 = -l - s, -7*o + 2*o + 19 = 3*l. Factor 1/2*j**o + 43/2*j**3 + 8 + 28*j + 73/2*j**2 + 11/2*j**4.
(j + 1)**3*(j + 4)**2/2
Factor -6/11*o**2 - 2/11*o**3 - 6/11*o - 2/11.
-2*(o + 1)**3/11
Let h(t) be the third derivative of t**5/210 + 363*t**4/14 + 395307*t**3/7 - 4821*t**2. Factor h(v).
2*(v + 1089)**2/7
Let l(j) = j**4 + 26*j**3 + 11*j**2 - 62*j - 24. Let b(w) = -3*w**3 + w**2 - 2. Let c(z) = 60*b(z) - 5*l(z). What is f in c(f) = 0?
-62, -1, 0, 1
Let q(c) = c**2 + 28*c + 30. Let u be q(-27). Suppose 9*g**5 - 18*g**4 + u*g**5 + 3*g**4 - 172*g**3 + 103*g**3 + 18*g**2 = 0. Calculate g.
-2, 0, 1/4, 3
Suppose -1277*p + 1260*p + 102 = 0. Let a(b) be the third derivative of -7/120*b**p + 0*b - 4*b**2 + 8/5*b**5 + 0 - 105/8*b**4 - 49/3*b**3. Factor a(u).
-(u - 7)**2*(7*u + 2)
Let c(q) = -4*q**3 - 3*q**2 + 64*q - 39. Let l(x) = -17*x**3 - 10*x**3 + 16*x + 26*x**3 - 26*x**2 - 10 + 25*x**2. Let a(o) = -4*c(o) + 18*l(o). Factor a(m).
-2*(m - 2)*(m - 1)*(m + 6)
Suppose -21*b - 2121 = -18*b - s, -721 = b - 5*s. Let z = b - -706. Factor z*h + 0 - 2/9*h**2 + 4/9*h**3 - 2/9*h**4.
-2*h**2*(h - 1)**2/9
Let r(g) be the second derivative of -5*g**4/48 - 12245*g**3/24 - 2936*g - 1. Solve r(a) = 0 for a.
-2449, 0
Let d be ((-8)/(-10))/((-35)/(-175)). Find a, given that -a**3 - 10*a - 4*a + 4*a**4 - 3*a**d + 17*a - 5*a**2 + 2*a**3 = 0.
-3, 0, 1
Find w, given that 22/7 + 2/7*w**2 - 24/7*w = 0.
1, 11
Let q(g) be the first derivative of 529*g + 1/3*g**3 + 14 + 23*g**2. Find l such that q(l) = 0.
-23
Factor -641*w**2 - 3*w**3 + 1843*w**2 - 65 - 664*w**2 - 613*w**2 - 2*w**3 - 135*w.
-5*(w + 1)**2*(w + 13)
Let p(v) be the third derivative of v**7/840 - v**6/30 + 23*v**5/80 - 15*v**4/16 + 35*v**2 - 11*v. Determine z, given that p(z) = 0.
0, 3, 10
Let u(t) be the first derivative of t**5/15 - t**4/12 - 52*t**3/9 - 22*t**2/3 + 32*t + 5800. Let u(s) = 0. What is s?
-6, -2, 1, 8
Let d(o) be the second derivative of -o**4/72 - 4*o**3/3 - 80*o**2/3 + 4794*o. Find b, given that d(b) = 0.
-40, -8
Let g be 15/(-6) + 1 - (-62)/4. Suppose 0 = -6*t + g + 34. Solve -231*s**4 + 10*s**3 + 18*s + 234*s**4 + 33*s**2 + t*s**3 = 0 for s.
-3, -2, -1, 0
Suppose -20*b = -76 + 36. Suppose v**2 + v**2 + 0*v**2 - 30 + 0*v + v - v**b = 0. What is v?
-6, 5
Suppose -20*c + 990 = 13*c. Let q be c/(-12) + 165/50. Solve -8/5*s**4 + 0*s**3 + 0 + 4/5*s + 8/5*s**2 - q*s**5 = 0.
-1, 0, 1
Let i be (2/6)/(47 + 6127/(-132)). Suppose -i*d**3 + 2/7*d**2 + 2*d - 12/7 = 0. Calculate d.
-2, 1, 3/2
What is v in 45 + v**3 + 182*v + 313*v + 114*v + 259 + 306*v**2 = 0?
-304, -1
Let u be (16/(-6))/((-8)/6). Factor 587 + 86*a**2 - 116 + u*a**3 - 275 + 966*a + 686.
2*(a + 1)*(a + 21)**2
Let a be 56525/28025 - (-2)/(-118). Factor -6/7*w**3 + 9/7 - 30/7*w + 27/7*w**a.
-3*(w - 3)*(w - 1)*(2*w - 1)/7
Let z(x) = 2 + 0*x + 6*x + 8*x**2 - x. Let n(g) = -7 + 2*g**2 - 14*g**2 - 8*g**2 - 15*g + 2*g**2 - 5*g**2. Let a(u) = 2*n(u) + 7*z(u). Factor a(o).
5*o*(2*o + 1)
Solve -708*s**2 - 21 - 52381*s**3 + 1356*s - 171 + 26207*s**3 + 26213*s**3 = 0.
2/13, 2, 16
Let x(b) be the third derivative of -b**6/210 - 19*b**5/21 - 467*b**4/21 - 80*b**3 - 2*b**2 + 33*b - 2. Factor x(g).
-4*(g + 1)*(g + 10)*(g + 84)/7
Factor 6/7*l**3 - 12/7*l**4 - 3/7*l**5 + 36/7*l**2 + 0 - 27/7*l.
-3*l*(l - 1)**2*(l + 3)**2/7
Let z be 0 + 6 - (10 + -6). Suppose -z*f = 2*f. Solve 0 + 21*p**5 + 12*p**2 - 3*p**4 + 24*p**