 6*b**2 + 20*b - 1. Let q(d) = -7*d**4 + 8*d**3 - 3*d**2 - 10*d + 2. Let l(g) = -2*m(g) - 5*q(g). Find k, given that l(k) = 0.
-4, -2, 1
Let -118 + 10 + 226*f - 627*f**2 - 216*f**3 - 21*f**4 - 209*f - 557*f = 0. Calculate f.
-6, -3, -1, -2/7
Let h(z) be the second derivative of -z**4/72 + 1393*z**3/18 - 1940449*z**2/12 - 7141*z. Factor h(c).
-(c - 1393)**2/6
Let z be (0/49)/(4*1). Factor -s**2 + 1/4*s**4 - 2*s + z + 1/2*s**3.
s*(s - 2)*(s + 2)**2/4
Let a(g) be the first derivative of 361*g**6/6 - 1881*g**5/5 + 23*g**4/4 + 1861*g**3/3 - 192*g**2 + 20*g + 3307. Let a(h) = 0. What is h?
-1, 2/19, 1, 5
Factor -5929/5*k**3 - 4/5*k + 0 + 308/5*k**2.
-k*(77*k - 2)**2/5
Let d(y) be the second derivative of 2/45*y**6 + 1/63*y**7 - 2*y**4 - 52 + 0*y**2 - 2*y + 0*y**3 - 1/2*y**5. Let d(z) = 0. What is z?
-3, 0, 4
Suppose -172 = 15*o + 38. Let i be (-7)/o*4/14. Determine q so that -i*q - 1/7 + 1/7*q**2 + 1/7*q**3 = 0.
-1, 1
Let m be 10 + (-32)/336 + (-372)/63. Let v(r) be the first derivative of -5/3*r**3 - 6 - 15*r**2 + 0*r + 5/4*r**m. Factor v(h).
5*h*(h - 3)*(h + 2)
Let q = -301536 + 301539. Let b be (-2)/(-1) + 6/(-8). Factor 0 + 5/2*j**q + b*j**4 + 5*j - 35/4*j**2.
5*j*(j - 1)**2*(j + 4)/4
Let b(g) be the first derivative of -g**6/45 + 17*g**5/30 - 7*g**4/2 - 9*g**3 - 36*g - 3. Let i(m) be the first derivative of b(m). Factor i(n).
-2*n*(n - 9)**2*(n + 1)/3
Let z(b) be the second derivative of -4*b**6/195 - 5*b**5/26 - 17*b**4/26 - 43*b**3/39 - b**2 + 7266*b. Factor z(i).
-2*(i + 1)**3*(4*i + 13)/13
Let o be (-1)/(1/10*-1). Let u be o/15*1/(2/6). Determine k, given that 0*k**3 - 4/7*k**u + 4/7*k**4 + 0 + 2/7*k**5 - 2/7*k = 0.
-1, 0, 1
Let g(n) be the first derivative of n**4/10 - 14*n**3/15 - 41*n**2/5 - 66*n/5 + 250. Factor g(w).
2*(w - 11)*(w + 1)*(w + 3)/5
Let l(w) be the second derivative of 5/18*w**3 + 1 - 5/36*w**4 + 5/6*w**2 + 43*w - 1/12*w**5. Factor l(v).
-5*(v - 1)*(v + 1)**2/3
Suppose 2467*u = -4*z + 2465*u + 20, -2*z - 3*u + 22 = 0. Factor 7/2*g**z - 1/2*g**3 - 4*g - 8.
-(g - 4)**2*(g + 1)/2
Let y(p) be the second derivative of p**2 + 8/21*p**3 + 1/42*p**4 - 9*p + 0. Factor y(v).
2*(v + 1)*(v + 7)/7
Let u(w) be the first derivative of 2*w**3/39 - 20*w**2/13 + 102*w/13 - 2176. Determine a, given that u(a) = 0.
3, 17
Factor 1484/5*k + 0 - 1486/5*k**2 + 2/5*k**3.
2*k*(k - 742)*(k - 1)/5
Let v(r) be the second derivative of 1/4*r**5 + 5/4*r**4 + 0 + 0*r**2 + 5/3*r**3 + 105*r. Factor v(i).
5*i*(i + 1)*(i + 2)
Let q(a) be the second derivative of -a**5/20 - 35*a**4/48 - a**3 + 2*a + 345. Determine z so that q(z) = 0.
-8, -3/4, 0
Let f be (-8 + 23/(5980/2088))*5. Let p be 3/(0 - 3/(-2)). Factor 2/13 - f*y**p + 0*y.
-2*(y - 1)*(y + 1)/13
Let k = 989 + -989. Suppose 5*f - r = 14, 0 = 7*f - 11*f - r + 13. Suppose 0*q + k*q**2 + 0 - 5/2*q**f = 0. What is q?
0
Determine u, given that 9801 + 1/4*u**2 + 99*u = 0.
-198
Let p be 420/(-798)*49/(-245). Factor -p*r**3 + 20/19*r**2 + 0 + 22/19*r.
-2*r*(r - 11)*(r + 1)/19
Factor 0 + 2/19*q**3 + 166/19*q**2 + 632/19*q.
2*q*(q + 4)*(q + 79)/19
Let q = -39753 - -39755. Factor 2/3 - 58/9*g - 20/9*g**q.
-2*(g + 3)*(10*g - 1)/9
Let b = -3156 + 3158. Let y(s) be the first derivative of 4/3*s**3 - 25 + s**5 + 0*s + 4*s**4 + 0*s**b - 25/6*s**6. Factor y(j).
-j**2*(j - 1)*(5*j + 2)**2
Let n = -6242/5 + 1255. Let b = n + -287/45. Find w such that 16/9 + 8/3*w + b*w**3 + 4/3*w**2 = 0.
-2
Let d(w) be the first derivative of -20 + 21*w + 0*w**2 - 1/3*w**3 - 1/3*w**4 - 1/10*w**5. Let y(x) be the first derivative of d(x). Let y(c) = 0. What is c?
-1, 0
Suppose -19*m - 18307 = 617. Let q = -1989/2 - m. Let -3/2*k**5 + 8*k**3 + q*k + 0 + 7*k**2 + k**4 = 0. Calculate k.
-1, -1/3, 0, 3
Determine l so that 5*l**2 + 103*l + 115*l + 66*l + 114 - 1374 + 336*l = 0.
-126, 2
Let f(i) be the third derivative of i**6/360 + 59*i**5/180 + 899*i**4/72 + 841*i**3/18 - 40*i**2 - 2*i + 12. Factor f(l).
(l + 1)*(l + 29)**2/3
Let r be (-92)/391 - (-9256)/1768. Factor -6/5*l**3 + 21/5*l**r + 0*l + 0*l**2 + 0 + 3*l**4.
3*l**3*(l + 1)*(7*l - 2)/5
Let t(m) be the first derivative of -m**3/21 - 3*m**2/7 + 81*m - 730. Factor t(s).
-(s - 21)*(s + 27)/7
Let f(a) be the third derivative of a**6/24 + 665*a**5/6 + 6635*a**4/6 + 4420*a**3 + 12364*a**2. Factor f(h).
5*(h + 2)**2*(h + 1326)
Let m(s) = -47*s - 15. Let o be m(2). Let u = o + 131. Solve 18*t**2 + 14*t - u*t + 2*t**4 - 14*t**3 - 2*t**3 + 4*t**3 = 0.
0, 1, 4
Let y = -297 - -299. Factor l**2 + 200*l - 3*l**2 - 152*l - l**y.
-3*l*(l - 16)
Let i be -57 + 24 + (-14952)/(-445). Factor 12/5 - 1/10*t**4 - 14/5*t + i*t**2 + 3/10*t**3.
-(t - 2)**3*(t + 3)/10
Let x(b) be the second derivative of 0*b**2 + 11/6*b**4 + 3/5*b**5 + 0 + 39*b + 1/15*b**6 + 2*b**3. Solve x(c) = 0 for c.
-3, -2, -1, 0
Let a = -214 - -221. Suppose 10*d - 2*d**4 + 11*d**2 - a*d**2 - 10*d**3 + 4*d**2 - 6*d**2 = 0. What is d?
-5, -1, 0, 1
Let v(s) = -9*s**2 + 135*s - 330. Let p(l) = 25*l**2 - 413*l + 990. Let n(w) = 4*p(w) + 11*v(w). Let n(m) = 0. What is m?
2, 165
Suppose -4*q + 5*i - 2457 = 0, -4*i + 110 = -q - 507. Let s = q - -3071/5. Suppose -s*z**3 - 27/5*z**2 + 3*z + 0 = 0. What is z?
-5, 0, 1/2
Suppose -4*g = -0*g - 20, 0 = 2*k - g - 143. Let s be k/(-18) - -2 - (2 - 5). Factor -s*h + 0 - 2/9*h**3 - 8/9*h**2.
-2*h*(h + 2)**2/9
Let k(l) be the second derivative of 0*l**2 + l - 2/15*l**6 - 4 - 6/5*l**5 + 3*l**4 + 28/3*l**3. Solve k(a) = 0.
-7, -1, 0, 2
Factor 15/2 + 3/2*b**2 - 37/4*b + 1/4*b**3.
(b - 3)*(b - 1)*(b + 10)/4
Determine h so that 5*h**2 + 16449*h + 10*h**3 - 3*h**2 + 4*h**2 + 20 - 16483*h - 2*h**4 = 0.
-2, 1, 5
Let b(v) = v**2 + v + 1. Let u(h) = 8 - 20*h + 32*h - 16*h + 0*h**2 + 10*h**2. Let k(n) = 8*b(n) - u(n). Factor k(c).
-2*c*(c - 6)
Suppose -3*w + 39 = 1285*s - 1282*s, 2*s - 46 = -4*w. Suppose -88/9*u**2 - 608/9*u**s + 0*u + 98/9*u**5 + 0 - 1022/9*u**4 = 0. Calculate u.
-2/7, 0, 11
Factor -176*k**3 - 621*k**4 - 1312 + 316*k**4 - 1008*k**2 + 303*k**4 - 1984*k.
-2*(k + 2)**3*(k + 82)
Let -3924/5*o**2 - 3024/5 - 5994/5*o - 824/5*o**3 + 16/5*o**4 = 0. What is o?
-3/2, 56
Suppose -172*t + 8330 = 7298. Factor 32/3 + 1/3*u**2 - t*u.
(u - 16)*(u - 2)/3
Let r be (28/20)/7 + 118/10. Factor j**2 - 7*j**2 + 3*j**2 - 18*j**2 - 6*j**3 + 3*j**4 - r*j.
3*j*(j - 4)*(j + 1)**2
Let l = 21148680/13 - 1625504. Let k = 1320 - l. Factor -k - 242/13*q**2 + 176/13*q.
-2*(11*q - 4)**2/13
Let u = 87992/15 - 5866. Let s = 247/30 - 69/10. Let 6/5*g - s + u*g**2 = 0. What is g?
-10, 1
Let v(k) be the third derivative of k**6/96 + k**5/3 + 205*k**4/96 - 385*k**3/12 - 1697*k**2. Factor v(m).
5*(m - 2)*(m + 7)*(m + 11)/4
Let w = 180554/25 - 7222. Let f(o) be the first derivative of -24 + 9/5*o**4 + 38/5*o**2 + 28/5*o**3 + 24/5*o + w*o**5. Factor f(h).
4*(h + 1)**3*(h + 6)/5
Let x(o) be the first derivative of -o**5/15 - 23*o**4/12 + o**3 + 69*o**2/2 - 1230. Find z such that x(z) = 0.
-23, -3, 0, 3
Suppose -10*q = -24 + 4. Factor -8*i**q - 6*i**3 + 4*i**3 - 59*i + 56*i + 8*i**4 + 5*i**5.
i*(i - 1)*(i + 1)**2*(5*i + 3)
Let k = -1460 + 1524. Let g be ((-124)/104)/((-4)/k*4). Let 6/13*x**5 - 36/13*x + 0 - 38/13*x**4 + g*x**3 + 6/13*x**2 = 0. Calculate x.
-2/3, 0, 1, 3
Let j(p) be the second derivative of 7/180*p**6 + 1/18*p**3 + 0*p**2 - 7/72*p**4 + 39*p + 0 - 1/60*p**5. Factor j(f).
f*(f - 1)*(f + 1)*(7*f - 2)/6
Let z = 43117/170 - 885/34. Let a = -227 + z. Find v such that 12/5*v - 9/5 - a*v**2 = 0.
1, 3
Let n(w) = 11*w**3 - 273*w**2 + 1067*w - 640. Let b(o) = 28*o**3 - 682*o**2 + 2668*o - 1602. Let t(k) = 5*b(k) - 12*n(k). Find j such that t(j) = 0.
3/4, 5, 11
Let s be (-1)/((-13)/(-104)) + 6 + -1. Let h be (s*(-2)/(-10))/(44/(-220)). Suppose -12/5*k**2 + 3/5*k**h + 0 + 12/5*k = 0. Calculate k.
0, 2
Let s(u) be the third derivative of u**7/735 + u**6/21 + 39*u**5/70 + 27*u**4/14 + 1852*u**2. Factor s(x).
2*x*(x + 2)*(x + 9)**2/7
Let k = -142 - -147. Find a such that 4*a**3 + a**2 - 6*a**4 + k*a**3 + 5*a**2 - 7*a**3 - 2*a = 0.
-1, 0, 1/3, 1
Let o = 7/3044 + 3009/15220. Let -1 - o*z**2 - 6/5*z = 0. Calculate z.
-5, -1
Let m(l) be the first derivative of l**5/5 + 121*l**4/2 + 4960*l**3 + 14400*l**2 - 1602. Factor m(g).
g*(g + 2)*(g + 120)**2
Let t(l) be the first derivative of 38/3*l**3 - 39 + 0*l + 1/120*l**6 - 1/2*l**2 - 5/8*l**4 + 1/10*l**5