 Determine v, given that -124/9*v**2 - 14/9*v**p - 2/9*v**5 + 76/9*v**3 - 22/9 + 86/9*v = 0.
-11, 1
Factor -429/4*i - 1089 + 3/4*i**3 + 15/2*i**2.
3*(i - 12)*(i + 11)**2/4
Find r, given that 129*r**2 - 307*r + 76*r - 132*r**2 - 228 = 0.
-76, -1
Let a(x) = x - 1. Let v be (-19)/(-7) + (-4)/(-14). Let h be a(v). Solve -4*s**h - 144 - 7*s + 34*s + 21*s = 0 for s.
6
Let h(n) be the third derivative of n**7/105 - 11*n**6/30 - n**5/10 + 17*n**4/3 - 44*n**3/3 + 631*n**2. Solve h(z) = 0 for z.
-2, 1, 22
Let q(z) be the third derivative of -z**6/360 - 13*z**5/45 - 169*z**4/18 - 6622*z**2. Factor q(c).
-c*(c + 26)**2/3
Let l(b) = -18*b**2 + 60*b - 20. Suppose 1 + 23 = -6*j. Let f(k) = -k**2 - 1. Let n(a) = j*f(a) + l(a). Suppose n(i) = 0. What is i?
2/7, 4
Let k be 686 + -646 - (39 - -1). Factor k*s**3 + 1/4*s**4 - 3/4*s**2 + 1/2*s + 0.
s*(s - 1)**2*(s + 2)/4
Suppose -9*j - 2*o + 37 = 43, 4*o = 5*j - 12. Let w(z) be the third derivative of 0 + 25/12*z**4 + 0*z**3 + j*z + 1/3*z**5 + 1/60*z**6 + 8*z**2. Factor w(f).
2*f*(f + 5)**2
Factor -6/5*h**2 + 0 + 1/5*h**4 + 3/5*h**3 - 8/5*h.
h*(h - 2)*(h + 1)*(h + 4)/5
Determine y so that 87*y**4 + 3492 - 653*y**3 + 5856*y - 567*y**3 + y**5 + 1369*y**3 - 1106*y**3 + 1321*y**2 = 0.
-97, -1, 6
Let j be (-3 + (-72)/(-10))/(8 - (-424)/(-80)). Factor 2/9*d**3 + j*d**2 + 0*d + 0.
2*d**2*(d + 7)/9
Factor -20886/7*i - 2/7*i**3 + 354/7*i**2 + 410758/7.
-2*(i - 59)**3/7
Let s = 93 + -88. Suppose 0 = n + s*u - 22, 14 - 2 = 3*u. Factor -5*g**3 - 4*g**3 + 24*g**n + 5*g**3.
-4*g**2*(g - 6)
Find r, given that -254*r**2 - 20 - 1047*r**3 - 129*r + 49*r**2 + 977*r**3 + 424*r = 0.
-4, 1/14, 1
Let r(h) be the first derivative of 90 - 3/2*h**2 + 1/10*h**5 + 49/16*h**4 - 7/24*h**6 + 7/3*h**3 + 0*h. Determine d, given that r(d) = 0.
-2, -1, 0, 2/7, 3
Let a = -2199 - -2131. Let i be ((-2)/a - 0)/((-43)/(-860)). Solve i*q**2 - 20/17 - 46/17*q = 0 for q.
-2/5, 5
Let q be (-4)/(-3) - (-2)/(-3). Let c be 156 + -155 - (-261)/27. Factor 16/3*n + q*n**3 - c + 14/3*n**2.
2*(n - 1)*(n + 4)**2/3
Let m be 1 + 23 + 57 + -47. Let r(b) = b**3 - 29*b**2 - 170*b. Let i be r(m). Solve 6/5*a**4 - 3/5*a**5 - 6/5*a**2 + i + 3/5*a + 0*a**3 = 0 for a.
-1, 0, 1
Let z = -33776 + 33781. Factor -3/5*g**4 + 3/5*g**2 + 3/5*g**3 + 0*g + 0 - 3/5*g**z.
-3*g**2*(g - 1)*(g + 1)**2/5
What is v in -1/6*v**4 - 450 - 381/2*v**2 + 32/3*v**3 + 630*v = 0?
1, 3, 30
Let u = -603 + 624. Let -270*t**2 - 115*t + 135*t**2 - u*t + 139*t**2 = 0. Calculate t.
0, 34
Let q(f) be the first derivative of f**3 + 33*f**2/2 + 9*f + 125. Let v be q(-11). Factor 27/2 + 3/2*b**2 + v*b.
3*(b + 3)**2/2
Let x(h) be the first derivative of 20 + 2/3*h**3 + 0*h + 4/3*h**6 + 3*h**4 + 18/5*h**5 + 0*h**2. Let x(c) = 0. What is c?
-1, -1/4, 0
Let d(z) be the second derivative of -z**5/4 + 25*z**4/12 + 35*z**3/3 + 204*z. Let d(g) = 0. What is g?
-2, 0, 7
Let o be (1 - -4)*(4 - 3). Let u(g) = -14*g**3 + 133*g**2 - 1019*g. Let y(v) = -68*v**3 + 664*v**2 - 5096*v. Let f(p) = o*y(p) - 24*u(p). What is c in f(c) = 0?
0, 16
Solve -3*c**3 + 3*c**2 + 19*c**2 + 256 - 10*c**3 - 81*c**2 - 80*c - 29*c**2 = 0 for c.
-4, 16/13
Let j = 205 - 203. Find w such that 366 + 10*w + w**j - 366 = 0.
-10, 0
Let o(w) be the first derivative of -2*w**5/5 + 6*w**4 - 40*w**3/3 - 2269. Factor o(b).
-2*b**2*(b - 10)*(b - 2)
Let y(f) be the second derivative of -7*f**4/4 - 355*f**3/2 + 153*f**2 - 392*f. Factor y(i).
-3*(i + 51)*(7*i - 2)
Let w(x) = -x + 1. Let b be w(-2). Suppose 0 = -6*i + 6*i + 8*i - 16. Factor h**3 - h**3 - 5*h**b + 5*h**i.
-5*h**2*(h - 1)
Let o(k) be the second derivative of -3*k**5/160 + 11*k**4/32 + 7*k**3/8 - 9*k**2/2 + 2366*k. Factor o(b).
-3*(b - 12)*(b - 1)*(b + 2)/8
Let k(v) = 15*v**3 - 51*v**2 - 57*v - 12. Let x(h) = -2*h**2 - h. Let u(w) = k(w) - 21*x(w). Let u(d) = 0. Calculate d.
-1, -2/5, 2
Let j(b) be the second derivative of 7/30*b**6 + 11/3*b**4 - 2*b**5 + 1/42*b**7 + 161*b + 0*b**2 + 0 + 0*b**3. Factor j(l).
l**2*(l - 2)**2*(l + 11)
Let p(z) be the third derivative of -z**5/180 - 7*z**4/18 - 115*z**3/18 - 60*z**2 + 8. Factor p(y).
-(y + 5)*(y + 23)/3
Let b(l) be the third derivative of 25*l**8/1344 + 13*l**7/42 + 11*l**6/8 - 37*l**5/24 - 1325*l**4/96 + 125*l**3/4 - 17*l**2 + 12. Let b(f) = 0. Calculate f.
-5, -2, 3/5, 1
Let z(k) be the first derivative of -k**3 + 2121*k**2/2 + 8532*k - 3925. Suppose z(c) = 0. Calculate c.
-4, 711
Suppose 0 - 10 = -5*r. Let p be 2736/624 - (r - (1 - 2)). Factor -6/13*h + 10/13*h**2 - p - 2/13*h**3.
-2*(h - 3)**2*(h + 1)/13
Solve 33/4*m**3 - 109/2*m**2 - 225*m - 1/4*m**4 - 162 = 0.
-2, -1, 18
Let x(l) be the first derivative of -10*l**2 - 130 + 24*l + 4/3*l**3. Factor x(p).
4*(p - 3)*(p - 2)
Let z(p) be the third derivative of p**6/1980 + 2*p**5/165 + p**4/11 + 5*p**3 + 20*p**2. Let u(v) be the first derivative of z(v). Factor u(o).
2*(o + 2)*(o + 6)/11
Let r = -17856 - -142873/8. Let p(h) be the first derivative of 7 + 5*h + r*h**2 + 5/12*h**3. Factor p(w).
5*(w + 1)*(w + 4)/4
Let g(c) be the third derivative of -c**6/90 - 997*c**5/45 - 1991*c**4/18 - 1990*c**3/9 + 1721*c**2 - c + 1. Factor g(x).
-4*(x + 1)**2*(x + 995)/3
Let p(m) = -5 - 34*m - 2*m**3 - 9*m**2 + 17*m**2 + 11*m**2. Let k be p(7). Determine z so that -10/7*z**3 + 10/7*z + 4/7 - 4/7*z**k = 0.
-1, -2/5, 1
Let g = -645/196 + 543/98. Factor g*j - 1 - 3/2*j**2 + 1/4*j**3.
(j - 4)*(j - 1)**2/4
Let x be 0 + 13 - (-24310)/(-1872). Let s(a) be the second derivative of 25/12*a**2 - 8*a + x*a**4 + 0 + 5/18*a**3. Factor s(i).
(i + 5)**2/6
Let b(p) be the second derivative of 0*p**2 - 2*p + 4/21*p**3 - 1/42*p**4 - 53. Factor b(g).
-2*g*(g - 4)/7
Let p = 1038020/291933 - 4/32437. Find g such that 4/9*g**2 + 28/9*g - 1/9*g**3 + p = 0.
-2, 8
Let q = -490953/5 - -98191. Determine x so that 0 + 84/5*x + q*x**2 = 0.
-42, 0
Suppose i - 39 = -2*i. Let w = -10 + i. Find c, given that c + 5*c**2 + 0*c - 19*c**3 + 23*c**w = 0.
-1, -1/4, 0
Let k(c) be the second derivative of -c**5/45 - 7*c**4/9 - 190*c**3/27 - 50*c**2/3 + 2514*c. Factor k(p).
-4*(p + 1)*(p + 5)*(p + 15)/9
Suppose -3489 + 3373 = -4*l. Let f(m) = -m**2 + 34*m - 142. Let k be f(l). Suppose 2/3*d**k - 2/3*d + 0 - 2/3*d**2 + 2/3*d**4 = 0. Calculate d.
-1, 0, 1
Solve 3008/3*s + 288 - 6*s**4 + 1040/3*s**3 - 3728/3*s**2 = 0 for s.
-2/9, 2, 54
Let h(k) be the third derivative of 154*k**2 + 0 - 1/960*k**6 - 1/24*k**5 + 0*k + 0*k**4 + 0*k**3. Solve h(i) = 0 for i.
-20, 0
Let y(c) be the first derivative of -4*c**5/5 - c**4 - 3931. Suppose y(b) = 0. What is b?
-1, 0
Let n(z) = 3*z**4 + 67*z**3 - 416*z**2 + 696*z - 360. Let t(f) = -2*f**4 - 68*f**3 + 419*f**2 - 694*f + 360. Let r(d) = -3*n(d) - 2*t(d). Factor r(q).
-5*(q - 2)**2*(q - 1)*(q + 18)
Let r(c) be the third derivative of 46*c**2 + 2/315*c**7 + 0*c**3 + 0*c**6 - 1/1512*c**8 + 0*c - 16/135*c**5 + 0*c**4 - 1. Solve r(u) = 0 for u.
-2, 0, 4
Let b(p) be the third derivative of -p**5/12 - 15*p**4/8 - 15*p**3 - 963*p**2. Factor b(d).
-5*(d + 3)*(d + 6)
Let o = 21148 + -21144. Let b(y) be the second derivative of 0 - 3/2*y**4 + o*y + 0*y**2 - 1/2*y**3. Suppose b(r) = 0. Calculate r.
-1/6, 0
Let u(t) = 2129*t - 3*t**2 - 2128*t + 1 - t**2 + 3*t**2. Let v(a) = -2*a**3 - 2*a**2 + 4*a + 6. Let c(l) = 6*u(l) - v(l). Factor c(y).
2*y*(y - 1)**2
Let i = -80 + 54. Let l be (5 - 6)*3 + i/(-2). Determine z so that -l + 5*z + 5*z**2 + 8*z + 0*z**2 - 18*z = 0.
-1, 2
Let f(x) = 7*x**4 + 19*x**3 - 23*x**2 - 14*x + 36. Let p(r) = -3*r**4 - 10*r**3 + 12*r**2 + 8*r - 17. Let o(g) = -2*f(g) - 5*p(g). Find q, given that o(q) = 0.
-13, -1, 1
Let s = -750 - -1277. Let -548*m**2 + 1105*m**2 - 3*m**3 - s*m**2 = 0. What is m?
0, 10
Let n(d) be the second derivative of -35/6*d**3 - 1 - d - 15*d**2 - 5/12*d**4. Suppose n(q) = 0. What is q?
-6, -1
Let p = -1296967/2 + 648484. Let -1/2*o - 5/2 + 5/2*o**2 + p*o**3 = 0. What is o?
-5, -1, 1
Suppose 1/5*s**2 + 237/5 - 238/5*s = 0. Calculate s.
1, 237
Let c(n) = n + 5. Let u be c(0). Let x(s) = s**3 - 4*s**2 - 4*s - 1. Let p be x(u). Factor h**4 + 14*h**2 - 8*h**2 - 9*h**4 - 21*h**3 - p*h**4.
-3*h**2*(h + 2)*(4*h - 1)
Let f = -16078 + 16081. Let y(p) be the second derivative of 1/5*p**f - 3/20*p**4 + 0*p**2 + 0 + 3/100*p**5 - 35*p. Factor y(r).
3*r*(r - 2)*(r - 1)/5
Let d(p) be the first derivative 