or n(h).
2*(h - 2)**3*(5*h - 3)
Let h be (-9*340/(-153) - 5) + -13. Suppose 2/3*f**h + 38 - 116/3*f = 0. What is f?
1, 57
Let s(p) = -2*p**3 - 7*p**2 - 4*p + 6. Let d be s(-4). Suppose -2*o + 44 = d. Determine q so that 1/5*q**2 + 0 - 2/5*q + 1/5*q**o = 0.
-2, 0, 1
Determine j so that -7*j**4 - 128 + j**5 + 18*j**4 + 40067*j**3 + 100*j**2 - 40141*j**3 + 56*j = 0.
-16, -1, 2
Suppose 4*z + 4988 = 4*p, 3*z + 1430 + 2331 = -p. Let n = 1256 + z. Factor 1/6*m**n + 2/3*m**3 - 2/3*m - 1/2 + 1/3*m**2.
(m - 1)*(m + 1)**2*(m + 3)/6
Let n(i) be the second derivative of i**3/3 + i**2 + 122*i. Let c(z) = 3*z**3 + 26*z**2 + 25*z - 22. Let q(y) = c(y) + 4*n(y). Suppose q(s) = 0. What is s?
-7, -2, 1/3
Let y(k) be the third derivative of k**5/540 + k**4/72 + k**3/27 + 6*k**2 + 80. Solve y(v) = 0 for v.
-2, -1
Let n(j) be the third derivative of -j**8/112 - 43*j**7/35 - 21*j**6/5 + j**5/10 + 169*j**4/8 + 42*j**3 - j**2 + j + 2139. Factor n(a).
-3*(a - 1)*(a + 1)**3*(a + 84)
Let r(k) = -6*k**2 - 12*k + 1. Let q(c) = -7*c**2 - 13*c + 2. Let n(o) = -5*q(o) + 6*r(o). Let d be n(-6). Let -849 + 0*l**2 + 849 - 2*l**d = 0. What is l?
0
Let j(b) = 7*b**3 - 16*b**2 - 84*b. Let t(g) = -g**3 + 4*g**2 + 6*g. Let a(v) = j(v) + 6*t(v). Factor a(s).
s*(s - 4)*(s + 12)
Let f = 501271/70 + -7161. Let a(j) be the third derivative of 0*j + f*j**7 + 0*j**3 + 0*j**4 + 21*j**2 + 3/20*j**5 + 1/8*j**6 - 1/112*j**8 + 0. Solve a(b) = 0.
-1, 0, 3
Let t = 9257 - 9254. Let j(p) be the first derivative of 8*p**t + 9 + 128*p - 48*p**2 - 1/2*p**4. Find b, given that j(b) = 0.
4
Let l(i) be the first derivative of i**4/12 - 17*i**3/6 + 8*i**2 + 105*i - 180. Let o(n) be the first derivative of l(n). Factor o(r).
(r - 16)*(r - 1)
Let k(r) = 25*r**2 - 1. Let s be k(1). Suppose 0*w + s = 6*w. Factor -3 - 2 - 8*g**4 + 4*g**3 - 4*g + 6*g**w + 7.
-2*(g - 1)**3*(g + 1)
Let w(c) be the third derivative of c**5/12 - 10*c**4 + 2035*c**3/6 - c**2 + 27. Factor w(a).
5*(a - 37)*(a - 11)
Let k(g) = -11*g - 28. Let r be k(-4). Factor -16*y - r - 4*y**2 + 2*y - 6*y + 0*y.
-4*(y + 1)*(y + 4)
Let w(s) be the first derivative of -s**4/7 - 36*s**3/7 - 100*s**2/7 - 6155. Suppose w(l) = 0. What is l?
-25, -2, 0
Let o(l) be the second derivative of -105/4*l**5 + 6*l**2 + 0 - 115/4*l**4 + 17*l - 4*l**3. What is w in o(w) = 0?
-2/5, 1/7
Let d(j) = -3496*j + 3498. Let a be d(1). Factor 36/5 + 3/5*v**3 + 6*v**a - 69/5*v.
3*(v - 1)**2*(v + 12)/5
Let h(y) be the first derivative of 6/7*y**2 - 5/21*y**3 - 39 - 4/7*y. Factor h(x).
-(x - 2)*(5*x - 2)/7
Factor 3339943*m**3 + 80*m**2 - 2*m**4 - 3340019*m**3 - 2*m**4.
-4*m**2*(m - 1)*(m + 20)
Let u(i) be the first derivative of 2*i**3/3 - 35*i**2/2 - 52*i + 47. Let v(z) = -25*z**2 + 455*z + 680. Let o(f) = 40*u(f) + 3*v(f). Factor o(b).
5*(b - 8)*(b + 1)
Suppose -f - 105 = -110. Solve 9*l**3 - 22*l**3 + f*l**3 - 4*l**4 = 0 for l.
-2, 0
Suppose 4*f - 2*c = 50, -8 = -c - 13. Let l(q) be the first derivative of -20/3*q**3 + 0*q + 28 - 5/4*q**4 - f*q**2. Find j such that l(j) = 0.
-2, 0
Let o(j) be the third derivative of j**5/20 - 45*j**4/4 - 392*j**3 - j**2 + 4*j - 15. Let o(g) = 0. Calculate g.
-8, 98
Suppose 9*w = 526 + 212. Let o be ((-205)/9 + 1)*(-41)/w. Solve -28/9*a + 2/9*a**2 + o = 0.
7
Let h(b) be the first derivative of 15 + 12/7*b - 2/21*b**3 - 1/7*b**2. Let h(r) = 0. Calculate r.
-3, 2
Let g(u) be the first derivative of 2*u**5/5 - 3*u**4/2 - 46*u**3/3 - 33*u**2 - 28*u - 2052. Suppose g(h) = 0. What is h?
-2, -1, 7
Let i(f) be the third derivative of -f**8/2184 - 2*f**7/195 - 11*f**6/260 + 56*f**5/195 - 16*f**4/39 - 62*f**2. Solve i(g) = 0.
-8, 0, 1
Let t(d) = -3 - 6 + 13 + 16*d. Let h be t(1). Let 16*w - h*w**2 + 17*w - 25*w = 0. Calculate w.
0, 2/5
Let p(j) be the second derivative of 4*j + 5/6*j**4 - 1 + 7/3*j**3 + 2*j**2. Factor p(t).
2*(t + 1)*(5*t + 2)
Let j = 11257/33 - 341. Let m(a) be the first derivative of -8/11*a - 7/11*a**2 + j*a**3 + 2. Determine z so that m(z) = 0.
-1/2, 4
Let u(o) = -7*o**3 + 328*o**2 - 639*o + 320. Let k(f) = 50*f**3 - 2295*f**2 + 4470*f - 2240. Let c(q) = -2*k(q) - 15*u(q). Solve c(r) = 0.
1, 64
Let y(r) be the third derivative of -12*r**7/25 + 71*r**6/25 + 1493*r**5/150 + 211*r**4/30 + 11*r**3/5 + 7344*r**2. Solve y(v) = 0.
-1, -1/6, 33/7
Let u(c) be the first derivative of 3/14*c**4 + 45 - 16/7*c**3 + 15/7*c**2 + 300/7*c. Factor u(s).
6*(s - 5)**2*(s + 2)/7
Find x, given that 3831 + 289 - 2*x**2 + 28115*x + 27232*x - 54325*x = 0.
-4, 515
Suppose 0 = 478*p - 480*p + 274. Factor 96 - p*q + 222*q**2 - 266*q - 77*q - 27*q**3.
-3*(q - 4)**2*(9*q - 2)
Let b = 68801 + -68797. Factor -864*a - 108*a**2 - 2592 - 1/8*a**b - 6*a**3.
-(a + 12)**4/8
Let k(f) be the second derivative of 10/3*f**2 - 7 + 6*f + 10/9*f**3 + 5/36*f**4. Solve k(b) = 0.
-2
Let r(i) be the first derivative of 0*i + 3/40*i**5 + 27/32*i**4 + 11/8*i**3 - 1/16*i**6 + 3/4*i**2 - 26. Factor r(k).
-3*k*(k - 4)*(k + 1)**3/8
Let c(b) be the second derivative of -b**4/42 - 178*b**3/21 - 3020*b. Let c(s) = 0. Calculate s.
-178, 0
Let b(c) be the third derivative of -c**8/1848 - c**7/1155 + 7*c**6/660 + c**5/330 - c**4/22 + 312*c**2. Determine j, given that b(j) = 0.
-3, -1, 0, 1, 2
Let h(z) = -15*z - 146. Let u be h(-13). Let l be (5 + u/(-9))/(2/(-9)). Solve -2/3*a - 1 + 1/3*a**l = 0.
-1, 3
Determine i so that 63*i**2 - 585 - 3/2*i**3 - 1041/2*i = 0.
-1, 13, 30
Let s = 854984/9 + -854866/9. Solve -s*a - 2/9*a**4 + 56/9 - 2/9*a**3 + 22/3*a**2 = 0 for a.
-7, 1, 4
Let w(c) be the first derivative of -c**4/4 - 2*c**3 - 4*c**2 + 889. Factor w(l).
-l*(l + 2)*(l + 4)
Factor -1205868*v**2 - 20493991*v + 2546*v**4 + 110947294*v + 3804*v**3 - 2550*v**4 + 36966749*v.
-4*v*(v - 317)**3
Let -146/7*y + 148/7 - 2/7*y**2 = 0. What is y?
-74, 1
Let g(h) be the third derivative of -h**7/105 + h**6/15 - h**5/6 + h**4/6 + 1051*h**2. Factor g(w).
-2*w*(w - 2)*(w - 1)**2
Suppose -17*x + 38 = -30 + 34. Let i = -1/6 - -1/3. Solve -3/2 - i*k**x + k = 0.
3
Let t = -193 - -255. Suppose 4*r - 18 = -3*d, 0 = -d - r + 67 - t. Find q such that 1/2*q**3 - 1/2*q**5 - 3/2*q**4 + 7/2*q**d - 2 + 0*q = 0.
-2, -1, 1
Let h(k) = 51*k**2 - 2607*k + 2479. Let y(l) = 9*l**2 - 519*l + 496. Let m(s) = -2*h(s) + 11*y(s). Factor m(d).
-3*(d - 1)*(d + 166)
Let a(f) be the third derivative of -f**5/40 - 1955*f**4/4 - 3822025*f**3 - f**2 - 2*f - 561. Factor a(u).
-3*(u + 3910)**2/2
Let v be (-45)/(-12) - -1*20/80. Let q(w) be the second derivative of 0*w**2 + 1/6*w**v + 1/3*w**3 + 0 - 20*w. Factor q(b).
2*b*(b + 1)
Suppose 0 = 4*u - 218 + 210. Let l(m) be the first derivative of 16/5*m**5 + 9 + 4*m**4 + 2/3*m**6 - 10*m**u - 8*m - 8/3*m**3. Suppose l(c) = 0. What is c?
-2, -1, 1
Suppose -42*b + 37*b + 90 = 4*t, 2*t = 5*b + 30. What is d in -216/5 - 48*d - 2/15*d**3 - 74/15*d**b = 0?
-18, -1
Let a = 2/8365 - -108713/133840. Let i(v) be the first derivative of 3/4*v + 4 - 1/6*v**3 + 13/32*v**4 - a*v**2 - 1/20*v**5. Suppose i(q) = 0. What is q?
-1, 1/2, 1, 6
Let o(a) be the second derivative of -2*a**7/21 - 8*a**6/15 + 3*a**5/5 + 6*a**4 + 7*a - 45. Factor o(v).
-4*v**2*(v - 2)*(v + 3)**2
Let h = 242 + -124. Factor -42*y**2 + h*y**2 - 35 + 10*y**3 + 128*y - 29.
2*(y + 4)**2*(5*y - 2)
Let a be -32 - 2/((42/12)/7). Let y be ((-29)/(-435))/((-3)/a). Factor -8/5 - y*b + 12/5*b**2.
4*(b - 1)*(3*b + 2)/5
Let m(o) be the third derivative of -54*o**7/35 - 93*o**6/25 - 68*o**5/25 - 4*o**4/15 + o**2 - 10*o. Determine c so that m(c) = 0.
-2/3, -2/45, 0
Let o be (-21 + 69 - 48)/(-3). Factor -18/5*r - 8/5*r**4 - 2/5*r**5 + 24/5*r**2 + 4/5*r**3 + o.
-2*r*(r - 1)**2*(r + 3)**2/5
Let k(t) = t**2 + 4*t + 3. Let o(d) = -10*d - 170. Let l be o(-17). Let a be k(l). Solve -48/7*i + 48/7*i**3 - 12/7 - 9/7*i**2 + a*i**4 = 0 for i.
-2, -1, -2/7, 1
Let s(x) be the third derivative of -x**7/280 + x**6/20 - 3*x**5/16 - 42*x**2 - 2*x - 15. Solve s(j) = 0.
0, 3, 5
What is u in 296/13*u**2 + 56/13*u**4 + 204/13*u**3 + 194/13*u + 2/13*u**5 + 48/13 = 0?
-24, -1
Let w(j) = -20*j**2 + 6*j - 680. Let l(i) = -i**2 - 4*i - 2. Let o(p) = 22*l(p) - w(p). Factor o(g).
-2*(g - 6)*(g + 53)
Let t(y) be the first derivative of -12/5*y**4 + 78/5*y**3 + 147/5*y - 168/5*y**2 + 3/25*y**5 - 31. Factor t(z).
3*(z - 7)**2*(z - 1)**2/5
Let p(n) be the third derivative of -n**5/540 