78)/52. Solve -g + 1/5*g**z + g**3 - 1/5 = 0.
-1, -1/5, 1
Let l(g) be the second derivative of g**4/6 + 14*g**3/3 + 48*g**2 + 159*g. Let l(q) = 0. What is q?
-8, -6
Let m(g) be the first derivative of g**4/30 - g**3/15 - 6*g**2/5 + 32*g + 32. Let q(p) be the first derivative of m(p). Find j such that q(j) = 0.
-2, 3
Let z(h) = -h**4 + h**3 + h**2 - h - 1. Let v(y) = -60*y**4 + 83*y**3 + 86*y**2 - 53*y - 5. Let b(t) = -2*v(t) + 18*z(t). Let b(l) = 0. What is l?
-1, 2/17, 1/3, 2
Solve -26*t**2 + 34*t**2 + 235*t - 56 + 55*t**2 - 16*t**3 - 31*t + 21*t**2 = 0 for t.
-2, 1/4, 7
Let t(y) be the second derivative of y**4/30 - 22*y**3/15 + 21*y**2/5 - 14*y - 4. Factor t(q).
2*(q - 21)*(q - 1)/5
Suppose -5*m - x - 1017 = 0, -2*m - 9*x = -12*x + 400. Let h = -2231/11 - m. Determine k, given that 6/11*k - 4/11 - h*k**2 = 0.
1, 2
Let i(u) = 2 + 20*u - u**2 - 1 - 21*u + 2*u**2. Let v(d) = -12*d**2 + 10*d - 10. Let l(c) = -10*i(c) - v(c). Solve l(s) = 0 for s.
0
Let b(s) be the second derivative of s**4/96 - 17*s**3/24 + 81*s. Determine f so that b(f) = 0.
0, 34
Suppose -8*y + 44 = 4*f, 31*y - 30*y + 5 = f. Factor -50/9*i**y - 2/9*i**3 - 32 - 112/3*i.
-2*(i + 1)*(i + 12)**2/9
Factor 0 - 4*j + 4/5*j**3 + 16/5*j**2.
4*j*(j - 1)*(j + 5)/5
Let j(c) = -39*c**2 + 3*c - 30. Let h(m) = 7*m**2 - m + 6. Let g(l) = 11*h(l) + 2*j(l). Determine s so that g(s) = 0.
-6, 1
Let w(g) be the first derivative of -g**4/12 - 2*g**3 + 14*g**2 - 88*g/3 - 366. Factor w(c).
-(c - 2)**2*(c + 22)/3
Let m(o) be the second derivative of -o**4/66 - 3*o**3/11 - 18*o**2/11 - 224*o. Find l such that m(l) = 0.
-6, -3
Let x(q) be the first derivative of q**7/840 - q**6/480 - q**5/48 - q**4/32 - q**2/2 - 6. Let v(g) be the second derivative of x(g). Factor v(w).
w*(w - 3)*(w + 1)**2/4
Factor 2/9*d - 2/9 + 2/9*d**2 - 2/9*d**3.
-2*(d - 1)**2*(d + 1)/9
Factor -195*h**2 + 384*h**2 + 3*h**4 - 188*h**2 + 2*h**3 - 2*h**4.
h**2*(h + 1)**2
Let h(g) = -17*g**2 + 153*g - 2304. Let b(o) = -4*o**2 + 39*o - 576. Let t(x) = -26*b(x) + 6*h(x). Solve t(j) = 0 for j.
24
Let c = -1061 - -1064. Let u(p) be the first derivative of 2/25*p**5 - 4/15*p**c - 1/10*p**4 - 6 + 0*p + 0*p**2. Find l such that u(l) = 0.
-1, 0, 2
Let c(a) be the third derivative of a**7/70 - a**6/20 - 3*a**5/4 + 4*a**4 - 8*a**3 - 513*a**2. Factor c(d).
3*(d - 4)*(d - 1)**2*(d + 4)
Factor -29*o**2 + 3 + 24*o - 39*o**2 + 116*o**2.
3*(4*o + 1)**2
Let a(x) be the third derivative of -x**8/840 + x**7/525 + x**6/100 - x**5/30 + x**4/30 + 63*x**2. Suppose a(u) = 0. What is u?
-2, 0, 1
Factor -2/7*b**2 - 72/7*b + 0.
-2*b*(b + 36)/7
Let i(z) be the second derivative of -z**5/140 + 79*z**4/28 - 6241*z**3/14 + 493039*z**2/14 + z - 99. Solve i(t) = 0 for t.
79
Let j(o) = -7*o**2 - 9*o - 10. Suppose 6*i - 30 = 4*i. Let t(z) = 27*z**2 + 36*z + 39. Let w(c) = i*j(c) + 4*t(c). Let w(l) = 0. What is l?
-2, -1
Let v(k) be the second derivative of -k**5/160 + 17*k**4/192 + k**3/8 + k**2 + 13*k. Let b(f) be the first derivative of v(f). Find h, given that b(h) = 0.
-1/3, 6
Let c(g) = -2*g. Let f(t) = t**2 - t. Let s(z) = z**3 - 2*z**2 - 7*z - 5. Let b be s(4). Let w(j) = b*c(j) - 2*f(j). What is k in w(k) = 0?
0, 2
Let k = -33474/25 - -1339. Let f(v) be the first derivative of 1/5*v**2 + k*v**5 - 4/15*v**3 + 4 - 1/10*v**4 + 3/5*v. Determine t, given that f(t) = 0.
-1, 1, 3
Let n(l) be the second derivative of l**4/78 + 94*l**3/39 + 2209*l**2/13 - l - 3. Suppose n(s) = 0. Calculate s.
-47
Find x such that 2/5*x**3 - 138/5*x**2 + 2448/5*x - 2312/5 = 0.
1, 34
Suppose l - 36 = -2*h, 3*h + 5 = l - 16. Let o be (12/120)/(4/l). Factor o - 3/4*y**2 + 0*y.
-3*(y - 1)*(y + 1)/4
Let r(j) = -2*j**2 - 28*j + 182. Let a(y) = y - 3. Let v(o) = 4*a(o) + r(o). Determine z, given that v(z) = 0.
-17, 5
Let c = -129521/5 + 25905. What is q in -2/5*q**5 + 4/5 - 6/5*q + 8/5*q**3 + 0*q**4 - c*q**2 = 0?
-2, -1, 1
Let b be 1/((-2)/(-3))*240/24. Suppose -3*t + b = -3*f, -t + 29 = -5*f + 4. Let 0*y - 2/7*y**3 + 0 + t*y**2 = 0. Calculate y.
0
Let u(q) be the second derivative of -363/2*q**2 - 29*q - 11*q**3 - 1/4*q**4 + 0. Factor u(g).
-3*(g + 11)**2
Factor 0 - 6*c**2 - 9/4*c**4 - c - 29/4*c**3.
-c*(c + 1)*(c + 2)*(9*c + 2)/4
Suppose 3*y = -5*b + 16, -4 = -3*y + 2*b - b. Let t be (-39)/(-18) + y/(-12). Factor -5*s**2 - 6 + 3*s**t + 6*s + 2.
-2*(s - 2)*(s - 1)
Let k(d) be the second derivative of -d**7/63 - d**6/45 + 2*d**5/5 + 14*d**4/9 + 16*d**3/9 + 174*d. What is h in k(h) = 0?
-2, -1, 0, 4
Let v be ((120/(-12))/30)/(4/(-6)). Suppose 4*k = 5*z - 14, -k - 1 = 2*z + 4*k. Let 0*s + v*s**z - 1/2 = 0. What is s?
-1, 1
Let u(v) = 118*v**3 - 989*v**2 + 1648*v - 404. Let t(x) = -39*x**3 + 330*x**2 - 549*x + 135. Let p(c) = 8*t(c) + 3*u(c). Factor p(g).
3*(g - 2)*(2*g - 11)*(7*g - 2)
Let l(t) be the second derivative of t**9/1260 + 3*t**8/2240 - 3*t**7/280 + t**6/120 + t**4/12 - 13*t. Let y(a) be the third derivative of l(a). Factor y(h).
3*h*(h - 1)*(h + 2)*(4*h - 1)
Let w(h) be the first derivative of h**3/3 + 11*h**2/2 - 39*h + 29. Let s be w(-14). Factor 3/2*n**s + 5/2*n**2 - n + 0.
n*(n + 2)*(3*n - 1)/2
Factor -490*g - 5/2*g**3 + 70*g**2 + 0.
-5*g*(g - 14)**2/2
Let z(y) be the third derivative of 0 + 55/4*y**5 + 4*y**2 + 0*y + 125/42*y**7 + 325/24*y**6 + 5/3*y**3 + 155/24*y**4. Factor z(k).
5*(k + 2)*(5*k + 1)**3
Suppose 0 = -s - 5*s + 12. Let r(i) be the third derivative of 0*i - 1/6*i**3 + 0 + 1/12*i**4 - 1/60*i**5 - i**s. Let r(c) = 0. Calculate c.
1
Let g(i) be the second derivative of i**6/135 + i**5/45 - i**4/54 - 2*i**3/27 + 2*i + 7. Let g(s) = 0. Calculate s.
-2, -1, 0, 1
Let h(x) = 139*x + 2. Let y be h(1). Let j = 989/7 - y. Find w such that 0 - j*w**2 + 4/7*w = 0.
0, 2
Solve 0 - 36/5*m**2 + 16/5*m = 0.
0, 4/9
Let y(b) be the second derivative of b**5/5 + 4*b**4/3 + 2*b**3 - 8*b - 1. Factor y(c).
4*c*(c + 1)*(c + 3)
Let 20*q**2 + 9*q**2 - 23*q**2 - 20*q + 8*q**2 + 6 = 0. Calculate q.
3/7, 1
Let v be (2 + 0 - 4) + (-15)/(-3). Find b, given that 0*b**2 + 6 + v*b**3 + 4*b**2 - 3*b - b**2 - 9 = 0.
-1, 1
Let r(k) be the first derivative of 0*k - 6*k**4 + 16*k**2 - 8 + 2/3*k**6 - 4/5*k**5 + 16/3*k**3. Find o, given that r(o) = 0.
-2, -1, 0, 2
Let o(z) be the first derivative of -486*z**5/5 - 2349*z**4 + 2136*z**3 - 2152*z**2/3 + 320*z/3 + 364. Factor o(d).
-2*(d + 20)*(9*d - 2)**3/3
Factor -3 + 52*n**2 + n**4 - 30*n**3 + 2*n**4 - 25*n**2 + 3.
3*n**2*(n - 9)*(n - 1)
Let y(b) be the third derivative of -b**8/2184 + b**6/195 + b**5/195 - b**4/52 - 2*b**3/39 - 13*b**2. What is a in y(a) = 0?
-1, 1, 2
Let m(h) = 100*h**3 + 955*h**2 + 1675*h. Let t(w) = -11*w**3 - 106*w**2 - 186*w. Let n(a) = -6*m(a) - 55*t(a). What is p in n(p) = 0?
-18, -2, 0
Suppose 5*x + 5*d - 145 = 0, 5*x + 191*d - 125 = 190*d. Factor -3/2*f**2 - x + 12*f.
-3*(f - 4)**2/2
Determine t so that 1/3*t**2 + 1/3*t - 2/3 = 0.
-2, 1
Let w(u) be the second derivative of u**8/3360 - u**6/240 + u**5/120 + 37*u**3/6 - 9*u. Let n(l) be the second derivative of w(l). Factor n(c).
c*(c - 1)**2*(c + 2)/2
Suppose 145 = 5*r - 25. Let c = -30 + r. Determine v, given that 2*v**c - 7*v**2 - 2*v**5 + 2*v**3 + 13*v**2 - 8*v**2 = 0.
-1, 0, 1
Let q = -44 - -41. Let s be (2 - 10/4)*(2 + q). Factor -p + 1/2*p**3 - s*p**2 + 0.
p*(p - 2)*(p + 1)/2
Let i(o) be the second derivative of -o**8/6720 + o**4 - 4*o. Let a(p) be the third derivative of i(p). Let a(d) = 0. Calculate d.
0
Let k(q) be the third derivative of -q**7/672 + q**6/288 + q**5/48 - 10*q**3/3 - 2*q**2. Let t(h) be the first derivative of k(h). Let t(z) = 0. What is z?
-1, 0, 2
Let r(o) = -2*o - 1. Let j be r(-2). Let v = 327 - 324. Factor -p**4 - 16*p - 8 + 4*p**j - 4 + 4 + v*p**4 - 6*p**2.
2*(p - 2)*(p + 1)**2*(p + 2)
Factor -9*y**3 - 87*y + 4*y**5 + 14*y**2 + 14*y**4 + 89*y + 27*y**3 - 4*y**2.
2*y*(y + 1)**3*(2*y + 1)
Suppose 0 + 2/13*i**4 - 32/13*i - 56/13*i**2 + 2/13*i**5 - 24/13*i**3 = 0. What is i?
-2, -1, 0, 4
Let f(g) be the second derivative of -g**6/330 - g**5/220 + g**4/132 + g**3/66 - 275*g. Factor f(q).
-q*(q - 1)*(q + 1)**2/11
Let w be (-36)/(-84) + 5/((-1120)/(-156)). Let o(s) be the first derivative of -1/2*s - 1/3*s**3 + w*s**2 - 4. Factor o(k).
-(k - 2)*(4*k - 1)/4
Let j = 2205 - 2205. Let w(m) be the third derivative of j*m**3 + 3/16*m**4 + 0 - 1/40*m**5 - 1/48*m*