 - 3174 - 7*q**4 = 0?
-23, 3/5, 2/3
Determine o, given that 18*o + 0 + 7/2*o**2 - 1/4*o**3 = 0.
-4, 0, 18
Suppose 0 = 137*t - 133*t. Let h(x) be the third derivative of 0*x**3 + t*x + 0*x**5 + 0 - 1/60*x**4 - 20*x**2 + 1/300*x**6. Factor h(f).
2*f*(f - 1)*(f + 1)/5
Let k = 3887116/7 - 555300. Factor 0 + 0*x - 8/7*x**2 - 10/7*x**4 - 2/7*x**5 - k*x**3.
-2*x**2*(x + 1)*(x + 2)**2/7
Let n(i) = i**3 - 2*i**2 + i + 3. Let a(p) be the third derivative of p**6/120 - p**5/60 + p**3/3 + 90*p**2 - 2*p. Let m(q) = 6*a(q) - 4*n(q). Factor m(u).
2*u*(u - 1)*(u + 2)
Let t(o) be the first derivative of 67*o**4/9 - 262*o**3/27 - o**2/3 - 412. Factor t(k).
2*k*(k - 1)*(134*k + 3)/9
Let i(z) = 91*z + 31. Let g be i(2). Suppose -72*j = -j - g. Factor -5/4*d**2 + 0 + 5/2*d**j + 5/4*d**4 - 5/2*d.
5*d*(d - 1)*(d + 1)*(d + 2)/4
Let b(l) be the first derivative of 1/18*l**6 + 0*l - 99 + 5/12*l**4 + 2/9*l**3 + 4/15*l**5 + 0*l**2. Factor b(s).
s**2*(s + 1)**2*(s + 2)/3
Let p = 287583/7 - 41083. Find o, given that -26/7*o**2 + 14 + p*o**3 + 10*o = 0.
-1, 7
Let h(j) = -3*j**4 + j**3 - 4*j + 1. Let k(o) = 43*o**4 - 561*o**3 - 1165*o**2 + 2079*o - 366. Let d(w) = -6*h(w) - k(w). Suppose d(z) = 0. What is z?
-3, 1/5, 1, 24
Let i(u) be the second derivative of 2/39*u**3 + 0*u**2 - 7/195*u**6 - 6/65*u**5 - 7*u - 1/26*u**4 - 1. Let i(d) = 0. What is d?
-1, 0, 2/7
Let l(z) = -31*z + 375. Let n be l(12). Let o(j) be the first derivative of 0*j + 1/2*j**6 + j**3 - 9/4*j**4 + 14 - 3/5*j**5 + n*j**2. Factor o(f).
3*f*(f - 2)*(f - 1)*(f + 1)**2
Let i(l) be the third derivative of 3/8*l**4 + 3*l**3 + l**2 + 0 - 2/15*l**5 + 0*l + 1/120*l**6. Factor i(j).
(j - 6)*(j - 3)*(j + 1)
Let b = -1 + 6. Let f be 11/4 + (2 - 11)/(-36). Factor b + 4*o**4 + 6*o**3 - 2*o**f - 5.
4*o**3*(o + 1)
Let u(d) = d - 6. Suppose 12 = -4*a + 2*h + 68, -h - 73 = -5*a. Let p be u(a). Factor -p*i + 16*i + 3*i**2 - 13*i.
3*i*(i - 2)
Suppose 0 = -10*r + 1179 - 289. Let q = r + -87. Solve 27/5*b + 3/5*b**q - 6 = 0 for b.
-10, 1
Let p(l) be the first derivative of 2*l**5/45 + 16*l**4/3 + 550*l**3/27 - 124*l**2/3 - 1926. Factor p(b).
2*b*(b - 1)*(b + 4)*(b + 93)/9
Let i(a) = -8*a**2 + 1187*a + 1198. Let f(z) = 7*z**2 - 1188*z - 1197. Let u(s) = 3*f(s) + 2*i(s). What is k in u(k) = 0?
-1, 239
Let j(d) be the first derivative of -d**6/2 + 6*d**5 - 33*d**4/2 - 28*d**3 + 165*d**2/2 + 150*d + 664. Let j(x) = 0. What is x?
-1, 2, 5
Let y be ((-8)/(-20))/(4/60). Suppose -12 = -4*i - 3*v, y*i = 4*i + 4*v - 16. Factor -1/4*q**3 + 0*q + 0*q**2 + i.
-q**3/4
Factor 24*o**2 + 0 - 9/2*o**5 + 8*o + 26*o**4 - 48*o**3.
-o*(o - 2)**3*(9*o + 2)/2
Let b be ((-2)/(-4))/(((-21)/(-9))/(730/(-45) + 17)). Factor 1/2*t + 1/6*t**3 + b + 1/2*t**2.
(t + 1)**3/6
Let o(g) = -10*g + 950. Let f be o(95). Let j(i) be the third derivative of f*i + 0 - 3/5*i**3 + 1/100*i**5 + 1/40*i**4 - 15*i**2. Factor j(v).
3*(v - 2)*(v + 3)/5
Suppose 0 = -5*i + p + 908, -6*p + 3*p = -2*i + 358. Let a be 82/26 - 28/i. Determine o, given that -22*o**a - 2*o + 4*o**2 - 14*o**4 - 10*o**4 - o + 5*o = 0.
-1, -1/4, 0, 1/3
Find z such that 102/7*z**3 + 204/7*z**2 + 18/7*z**4 + 24*z + 48/7 = 0.
-2, -1, -2/3
Let c = 137396/3 - 45796. Factor c - 44/3*l - 8*l**2.
-4*(l + 2)*(6*l - 1)/3
Let f be 4/(-3)*24/16. Let w = f + 7. Factor o - 2*o**2 + w*o - 11 - 21 + 10*o.
-2*(o - 4)**2
Let n(s) = 1 - 3*s**2 + s + 4*s**2 - 1 - 1. Let j(h) = -3*h**2 + 7*h - 7. Let m(k) = j(k) + n(k). Factor m(v).
-2*(v - 2)**2
Let x(y) be the second derivative of -2/21*y**7 + 0*y**3 + 46*y + 4*y**4 - 16/5*y**5 - 2 + 0*y**2 + 14/15*y**6. Let x(w) = 0. Calculate w.
0, 2, 3
Let h(z) be the first derivative of z**6/6 - 9*z**5 - 47*z**4/2 - 2*z**3/3 + 93*z**2/2 + 47*z + 686. Let h(c) = 0. Calculate c.
-1, 1, 47
Let -1930*c**2 - 423/4*c**4 - 860 + 748*c**3 + 2148*c - 1/4*c**5 = 0. Calculate c.
-430, 1, 2
Let w(l) = 2*l**4 - l**3 + l**2 - 1. Let t(j) = -4246*j**4 + 559*j**3 - 25*j**2 + 7. Let x(m) = -t(m) - 7*w(m). Suppose x(g) = 0. Calculate g.
0, 3/46
Let u(v) = -5*v - 114. Let x be u(-34). Suppose 7*s + 84*s**2 - 86*s**2 - 4*s + x - 27*s = 0. What is s?
-14, 2
Suppose -184*s + 32*s + 4112 = 362*s. Let u(v) be the second derivative of -10/9*v**3 - 1/15*v**5 + 3*v + s - 4/9*v**4 - 4/3*v**2. Let u(d) = 0. Calculate d.
-2, -1
Suppose 12 = 7*q - 58. Let p(u) = u**2 - 48*u - 12 + 3 - q - 14*u**2. Let i(k) = -6*k**2 - 24*k - 9. Let j(w) = -5*i(w) + 3*p(w). Factor j(b).
-3*(b + 2)*(3*b + 2)
Let a(k) be the first derivative of -74 + 3/40*k**5 + 45/32*k**4 - 18*k**2 + 23/4*k**3 - 48*k. Let a(c) = 0. What is c?
-8, -1, 2
Let d(x) = x**2 - 106*x + 119. Let t(w) = -7. Let a(g) = d(g) + 2*t(g). Determine y so that a(y) = 0.
1, 105
Suppose 34*z + 2*v = 37*z + 4, -3*v = 4*z - 6. Let r(n) = -n**3 + 11*n**2 - n + 12. Let k be r(z). Solve -6*m + k + 3/4*m**2 = 0 for m.
4
Let r(w) = 2*w**3 + w**2 + w - 3. Let s(h) = -2*h**4 - 106*h**3 - 1735*h**2 - 8225*h - 9. Let t(f) = -3*r(f) + s(f). Factor t(b).
-2*b*(b + 11)**2*(b + 34)
Let i(z) be the third derivative of 5*z**7/14 + 107*z**6/24 + 26*z**5/3 + 5*z**4/2 - 909*z**2. Solve i(j) = 0 for j.
-6, -1, -2/15, 0
Let r(d) be the first derivative of 2/5*d**5 + 3*d**4 + 0*d - 2/3*d**3 - 6*d**2 + 25. Factor r(c).
2*c*(c - 1)*(c + 1)*(c + 6)
Let r(g) be the third derivative of -1/4*g**5 - g**2 + 27*g - 5/6*g**4 + 10/3*g**3 + 1/12*g**6 + 1/42*g**7 + 0. Suppose r(x) = 0. What is x?
-2, 1
Let u be 94/20 - (-126)/420 - -12. Let z(b) be the first derivative of u - 2/21*b**3 + 0*b + 4/7*b**2. Let z(k) = 0. What is k?
0, 4
Let x(v) = -13*v + 3. Let k be x(-3). Let d = k + -39. Suppose 48*g**2 + 64*g**d - 247*g + 56*g**5 - 348*g**4 + 121*g + 126*g = 0. Calculate g.
-2/7, 0, 1/2, 6
Let g(o) = -416*o**3 + o**2 + 15*o + 28. Let p be g(-2). Find m, given that -3483*m**4 + p*m**4 + 501*m**2 + 432*m + 84 + 21*m**3 + m**5 - 22*m**5 = 0.
-7, -1, -2/7, 2
Let s(j) be the second derivative of -j**4/6 - 94*j**3/3 + 192*j**2 + 362*j - 1. Find n, given that s(n) = 0.
-96, 2
Let g = 110 - 105. Solve -4*b**3 + b**5 + 8*b**5 - 5*b**g = 0 for b.
-1, 0, 1
Let h(d) be the third derivative of -17/55*d**5 - 45*d**2 - 43/660*d**6 - 8/33*d**4 - 1/231*d**7 + 0*d + 0 + 32/33*d**3. Suppose h(i) = 0. Calculate i.
-4, -1, 2/5
Let k(s) be the second derivative of 1/20*s**5 + s**4 + 0*s**2 + 5*s - 13/6*s**3 - 12. Suppose k(m) = 0. Calculate m.
-13, 0, 1
Suppose 2*s - 2*j = 1556, j - 384 - 1169 = -2*s. Let c = 3886/5 - s. Determine q, given that -c*q**3 - 4/5*q**2 - 2/5 - q = 0.
-2, -1
Factor 25 + 237*b - 2*b**2 + 213 - b**2 - 4*b**2 + 6*b**2.
-(b - 238)*(b + 1)
Let y(h) = -491 + 490 + h**2 + 0*h**2. Let p(z) = -66*z + 366. Suppose 3 = -o + 4*o. Let k(l) = o*p(l) + 3*y(l). Solve k(i) = 0.
11
Let s(c) be the second derivative of 5*c**4/12 - 9760*c**3/3 + 9525760*c**2 - 3902*c. Determine t so that s(t) = 0.
1952
Let p = -107387/36 + 2983. Let d(n) be the second derivative of 0 - 1/6*n**2 + 1/9*n**3 - 31*n - p*n**4. Suppose d(v) = 0. What is v?
1
Let f(x) = 22*x**2 - 456*x. Let l(r) = -4*r**2 + 91*r. Let h(u) = u**2 + 18*u - 24. Let t be h(-20). Let v(q) = t*l(q) + 3*f(q). Factor v(g).
2*g*(g + 44)
Suppose -20*z + 22*z - 10 = 0. Suppose -w + 6 = -3*p, z*w + 3*p - 15 + 3 = 0. Suppose 1/2*o**4 + 0 - o - 3/2*o**2 + 0*o**w = 0. Calculate o.
-1, 0, 2
Let i be ((-550)/4)/(-11) + -16 + -1 + 6. Find t, given that 0 + 3/2*t**3 - 27/2*t**2 + i*t**4 - 27/2*t = 0.
-3, -1, 0, 3
Let m(u) be the first derivative of -u**4/14 + 118*u**3 - 73101*u**2 + 20127142*u - 273. Factor m(i).
-2*(i - 413)**3/7
Factor 1068*v - 570312 - 1/2*v**2.
-(v - 1068)**2/2
Let k(g) be the first derivative of g**5/50 - 17*g**4/40 + 7*g**3/15 + 8*g**2/5 - 1135. Let k(x) = 0. Calculate x.
-1, 0, 2, 16
Let v be ((-153)/420 - (-2)/8)/(1376/(-3440)). Determine f so that 78/7*f - 76/7 - v*f**2 = 0.
1, 38
Let h(n) be the first derivative of 2460375*n**3 + 12150*n**2 + 20*n - 7680. Determine c, given that h(c) = 0.
-2/1215
Let f(h) be the third derivative of h**5/20 - 29*h**4/8 + 39*h**3 + 13*h**2 + 79*h. Solve f(q) = 0.
3, 26
Let c(q) = -9*q**2 - 1683*q - 6798. Let s(m) = -10*m**2 - 1678*m - 6804. Let n(u) = -6*c(u) + 5*s(u). Find o, given that n(o) = 0.
-423, -4
Let u = -5418496/7 + 774072. Factor 80/7*o + 38/7*o**2 + u.
2*(o + 2)*(19*o + 2)/7
Let -48/7 - 98283/7*u**2 + 43