(g). Find q, given that p(q) = 0.
-148, 1, 2
Let q = 3 + 0. Let l be q*(-2)/35*(-500)/150. Let 4/7 - 20/7*p**3 + 10/7*p - 8/7*p**2 + l*p**4 + 10/7*p**5 = 0. Calculate p.
-1, -2/5, 1
Factor 0*g + 0 - 1/3*g**4 - 164/3*g**2 - 15*g**3.
-g**2*(g + 4)*(g + 41)/3
Let j = -117210 - -117210. Factor j - 4*l + 2/7*l**2.
2*l*(l - 14)/7
Factor 12952*w**2 + 12952*w**2 - 888*w - 25901*w**2 - 1788.
3*(w - 298)*(w + 2)
Let 2/9*g**4 + 142/9*g**3 + 0 + 272*g**2 - 288*g = 0. What is g?
-36, 0, 1
Let g(a) be the first derivative of -a**7/70 + a**6/40 + 3*a**5/20 - 5*a**4/8 + a**3 - 49*a**2 + 166. Let p(n) be the second derivative of g(n). Factor p(h).
-3*(h - 1)**3*(h + 2)
Suppose -12 = -4*a, -12*l - 31 = -10*l - 5*a. Let m be (2/l)/((-28)/56). Let m*s**4 - 5/2*s + 1/2 + 5*s**3 - 5/2*s**5 - s**2 = 0. What is s?
-1, 1/5, 1
Let k(z) = -z**3 + 30*z**2 + 6. Let j be k(30). Let y(w) be the second derivative of 0 + 20*w + 1/4*w**4 + j*w**2 - 5/2*w**3. Factor y(m).
3*(m - 4)*(m - 1)
Let c(l) be the second derivative of l**5/10 - 151*l**4/6 + 1189*l. Determine k so that c(k) = 0.
0, 151
Let i(z) be the first derivative of -z**4/22 + 2*z**3/11 + 18*z**2/11 + 659. What is l in i(l) = 0?
-3, 0, 6
Let v(r) be the first derivative of r**5/36 - 5*r**4/18 - 10*r**2 + 2*r + 115. Let o(f) be the second derivative of v(f). Factor o(l).
5*l*(l - 4)/3
Let p = 26102 - 26092. Let v(d) be the first derivative of p + 0*d**3 + 6/5*d + 1/20*d**4 - 7/10*d**2. What is r in v(r) = 0?
-3, 1, 2
Let r = 32404 - 32401. Let u(h) be the first derivative of -3/2*h**4 + 0*h + 7 + 1/3*h**6 + 0*h**5 + 4/3*h**r + 0*h**2. Let u(z) = 0. What is z?
-2, 0, 1
Let t be (((-179920)/288)/(-13) - 21) + -1 + (-6)/(-4). Factor -7688/9 + t*i - 2/9*i**2.
-2*(i - 62)**2/9
Let b = 1503070 - 1503067. Let -9/2*l**3 + 29/2*l**2 - b*l + 0 = 0. Calculate l.
0, 2/9, 3
Let b(z) be the second derivative of z**6/24 - 5*z**5/6 + 63*z**2/2 - 10*z + 5. Let y(s) be the first derivative of b(s). Suppose y(l) = 0. What is l?
0, 10
Factor -3*m**2 + 99*m**3 - 10297*m**4 + 10300*m**4 + 61*m - 160*m.
3*m*(m - 1)*(m + 1)*(m + 33)
Let k(b) = 4*b**2 + 0*b + 2*b**2 + 4*b + 5. Let f(a) = 5*a**2 + 3*a + 4. Let y = -6448 + 6443. Let z(v) = y*f(v) + 4*k(v). Suppose z(q) = 0. What is q?
0, 1
Let 2/19*b**2 + 96/19 - 52/19*b = 0. Calculate b.
2, 24
Let u = -6170/3 + 2058. Let l(i) be the first derivative of -10*i**2 + u*i**3 - 26 + 16*i. Factor l(x).
4*(x - 4)*(x - 1)
Suppose 44/7*y**2 - 2/7*y**3 - 46*y + 112 = 0. Calculate y.
7, 8
Suppose -2*i = 2*v + 74, -85*i - 5*v = -83*i + 86. Let f be -3*(374/i + 10). Let 48/7 + 72/7*q - 12/7*q**2 + 6/7*q**5 + 0*q**f - 6*q**3 = 0. Calculate q.
-2, -1, 2
Let r(z) = -3*z**3 + 316*z**2 + 315*z. Let p(i) = 4*i**3 - 633*i**2 - 630*i. Let b(g) = -4*p(g) - 7*r(g). Let b(w) = 0. Calculate w.
-63, -1, 0
Suppose 3*j + 2 = 4*m, -5*m - 2 + 4 = -4*j. Let h(b) be the first derivative of 2/3*b**3 - 7*b**j - 20 + 12*b. Factor h(y).
2*(y - 6)*(y - 1)
Suppose 16*k - 14*k = 6. Suppose -8*b + 126 = -k*b - a, 129 = 5*b - 4*a. Factor 45*i**2 + b*i**3 + 5*i**4 + 28*i + 44*i - 37*i + 10.
5*(i + 1)**3*(i + 2)
Let b be 5 + (5 - (19 - 4)) - -7. Suppose 5*c**5 + 2*c**4 + 336*c - 50*c**3 - 288 - 7539*c**2 + 7537*c**b - 3*c**5 = 0. Calculate c.
-4, 1, 3
Let 1000/11 + 2/11*a**2 - 90/11*a = 0. What is a?
20, 25
Let s(g) be the second derivative of -39*g + 0*g**4 + 0 - 1/40*g**5 + 0*g**2 - 1/24*g**6 + 0*g**3. Factor s(u).
-u**3*(5*u + 2)/4
Let f be 196/280 + (-4)/(-6)*-1 + 0. Let t(h) be the second derivative of 0*h**2 + 0 - 3*h**3 - 14*h + 1/4*h**4 - f*h**6 + 1/5*h**5. Factor t(p).
-p*(p - 3)**2*(p + 2)
Let a(x) be the second derivative of -x**4/60 - 8*x**3/15 + 66*x**2/5 - 1557*x. Determine y so that a(y) = 0.
-22, 6
Let c(u) = 66*u + 269. Let v be c(-4). Suppose 5*k = -470*n + 466*n - v, 0 = 5*k + 5. Factor n + 2/5*w - 1/5*w**2.
-w*(w - 2)/5
Factor 83/6*z**3 - 407/6*z - 77/6*z**2 - 41 - 1/6*z**4.
-(z - 82)*(z - 3)*(z + 1)**2/6
Let a = 6 + -6. Let r(m) be the third derivative of -1/40*m**5 - 14*m**2 + a + 0*m - 1/1680*m**7 + 0*m**3 + 1/160*m**6 + 1/24*m**4. Suppose r(j) = 0. What is j?
0, 2
Let k(h) be the second derivative of 1/80*h**6 + 1/20*h**5 - 1/16*h**4 + 0 - 14*h - 3/2*h**2 - 1/2*h**3. Let p(u) be the first derivative of k(u). Factor p(z).
3*(z - 1)*(z + 1)*(z + 2)/2
Let r(x) = 36*x**2 + 400*x + 646. Let j(a) = -a**3 - 2*a. Let m(u) = 12*j(u) + 4*r(u). Let y(i) = 2*i**3 + i**2 + i + 1. Let h(v) = m(v) + 8*y(v). Factor h(k).
4*(k + 2)*(k + 18)**2
Let v be 3 - (-2 - 4/1). Suppose 5*p - 4*o = -10, 4*p + v + 8 = 5*o. Factor 2*n**4 + 2*n**4 - 43*n**p + 4 + 35*n**2.
4*(n - 1)**2*(n + 1)**2
Let b = -3451/27 - -3658/27. Factor -2*u + b*u**2 + 8/3*u**3 - 16/3*u**4 - 3.
-(u - 1)**2*(4*u + 3)**2/3
Suppose g = 5*v - 22, 4*g + 3*v - 9 = 6*g. Let -195*t**4 + 60 - 45*t**5 + 69*t + 181*t**2 - 46*t**2 - 155*t**g + 131*t = 0. What is t?
-3, -1, -2/3, 1
Let m(f) be the third derivative of f**5/75 + 323*f**4/30 + 128*f**3 + 7704*f**2. Factor m(o).
4*(o + 3)*(o + 320)/5
Let s = 1272302 + -3816634/3. Factor 28/3*z**3 - s*z**2 + 0 - 80/3*z.
4*z*(z - 10)*(7*z + 2)/3
Let k(i) = -i**2 - i - 24. Let c be k(5). Let w = -45 - c. Suppose -5*s**3 - w*s + 3 - 7*s + 7 + 20*s**2 - 9*s = 0. What is s?
1, 2
Let y = 1166 + -5806/5. Suppose -17*t + 20*t - 23 = 4*l, -2*t - 2*l = -6. Factor 22/5*u**3 + 9/5*u + 8/5*u**4 + 0 + 1/5*u**t + y*u**2.
u*(u + 1)**2*(u + 3)**2/5
Let -1658/9*m - 832/9*m**2 - 2/9*m**3 - 92 = 0. What is m?
-414, -1
Let z = 17/13 + -2/91. Let y(c) = -c**3 - c**2 + 1681*c + 8307. Let t be y(-5). Factor 3/7*j**t + z - 12/7*j.
3*(j - 3)*(j - 1)/7
Let q = 313 - 309. Factor 3*g + 7*g**2 - q*g**2 + 78 + 14*g + 28*g.
3*(g + 2)*(g + 13)
Let u(v) be the second derivative of 0 - 9/14*v**2 - 1/28*v**4 + 43*v - 2/7*v**3. Find j such that u(j) = 0.
-3, -1
Let v(a) be the second derivative of a**7/294 - 3*a**6/10 + 447*a**5/70 + 1535*a**4/42 + 1067*a**3/14 + 1089*a**2/14 - 30*a - 66. Let v(c) = 0. What is c?
-1, 33
Let b = 4978 + -4976. Let d(f) be the first derivative of 0*f - 1/18*f**4 + 14/27*f**3 - 14 + 0*f**b. Let d(w) = 0. What is w?
0, 7
Let r(a) = a**3 - 17*a**2 + 11*a + 24. Let x(j) = j**2 + 5*j + 3. Let b be x(-7). Let q be r(b). Factor 605*t**2 - 359*t - q*t - 90*t + 180.
5*(11*t - 6)**2
Let n be 15/(-3) + 7 + 0 + 2. Let j(i) be the third derivative of 1/2*i**3 - 1/4*i**n + 0 + 11*i**2 + 3/10*i**6 - 11/20*i**5 + 0*i. Factor j(o).
3*(o - 1)*(3*o + 1)*(4*o - 1)
Let g(n) be the third derivative of -n**6/1140 - 2*n**5/57 + 8*n**4/19 - 65*n**2. Factor g(s).
-2*s*(s - 4)*(s + 24)/19
Suppose 0 = -11*r + 8*r + 3*a + 12, 3*a = 4*r - 15. Suppose 44*v**4 + 59*v - 54*v**r - 2*v - 46*v**4 - 31*v**4 - 3*v**5 + 27 + 6*v**2 = 0. Calculate v.
-9, -1, 1
Determine t, given that -104/5*t**4 + 2016/5 - 816/5*t + 812/5*t**3 - 1912/5*t**2 + 4/5*t**5 = 0.
-1, 1, 6, 14
Let h = 4281 - 385289/90. Let z(t) be the second derivative of 2/9*t**2 - 15*t + 1/9*t**3 - h*t**5 + 0*t**4 + 0. Factor z(p).
-2*(p - 2)*(p + 1)**2/9
Let w(h) be the first derivative of 18/7*h + 2/7*h**3 - 4*h**2 + 48. What is p in w(p) = 0?
1/3, 9
Let o(v) = -4*v**3 + 24*v**2 + 2. Let j be o(6). Factor -z**j + 5*z**3 + 9*z**2 + 3*z**3 + 23*z**4 + 23*z**4 - 52*z**4.
-2*z**2*(z - 2)*(3*z + 2)
Let g(j) be the third derivative of -j**5/20 - 15*j**4/4 + 68*j**3 - 922*j**2. Determine w so that g(w) = 0.
-34, 4
Let h(f) = -2*f**3 - 5*f**2 - 3*f. Let q be 10/(-55) - (-72)/33. Let b(p) = p - 2*p + 5*p**2 + 0*p - 6*p**q. Let y(c) = -b(c) + h(c). Factor y(i).
-2*i*(i + 1)**2
Let r(o) be the second derivative of 3*o**5/40 - 171*o**4/4 + 339*o**3 - 1014*o**2 - 5290*o. Suppose r(v) = 0. Calculate v.
2, 338
Suppose -3*y = -26*b + 23*b, 5*b - 14 = -2*y. Let a(j) be the second derivative of 0 - 35*j - 1/2*j**3 + 1/4*j**4 + 0*j**b. Let a(k) = 0. What is k?
0, 1
Determine w so that -157*w**2 - 160*w**2 + 7871 - 4890*w + 8542 - 6621 + 314*w**2 = 0.
-1632, 2
Let u(r) be the third derivative of 338*r**3 + 0 + 1/180*r**5 - 13/6*r**4 - 258*r**2 + 0*r. Factor u(t).
(t - 78)**2/3
Let d(y) = 32*y**2 - 4422*y + 1305. Let v(h) = -17*h**2 + 2211*h - 648. Let x(n) = -2*d(n) - 5*v(n). Let x(l) = 0. Calculate l.
2/7, 105
Let -230 + 6 - 3035*q - 4*q**2 + 2915*q = 0. What is q?
-28, -2
Let d(l) = 5*l**3 - 48*l**2 + 60*l. Let n(q) = -540*q + 