- b + 8*l**2 + 86 + 8*l**3 - 4*l - 4*l**5 - 4*l**4.
-4*(l - 1)**2*(l + 1)**3
Factor 12 - 4/5*u**2 - 56/5*u.
-4*(u - 1)*(u + 15)/5
Let o be -9 + (-83 + 88 - (-29)/6). Let m(u) be the second derivative of -o*u**3 + 0*u**2 + 1/4*u**5 - 26*u - 5/12*u**4 + 1/6*u**6 + 0. Factor m(a).
5*a*(a - 1)*(a + 1)**2
Suppose -502*r = -497*r - 10. Factor 9 - 16 - r*s**2 + 12*s - 9.
-2*(s - 4)*(s - 2)
Suppose -6*u**2 - 97*u + 274 - 184*u + 1102 - 415*u + 10*u**2 = 0. What is u?
2, 172
Let 18496/7*s**3 + 0 + 0*s + 0*s**2 + 272/7*s**4 + 1/7*s**5 = 0. What is s?
-136, 0
Let f(v) = 2*v**2 - 7*v - 36. Let h be f(-4). Let p(d) = 9*d**2 + 36*d - 45. Let c(u) = -2*u**2 - 7*u + 9. Let k(y) = h*c(y) + 5*p(y). Factor k(n).
-3*(n - 3)*(n - 1)
Let o(z) be the second derivative of z**4/54 + 16*z**3/27 + 467*z + 1. Determine j, given that o(j) = 0.
-16, 0
Let j be (2/120)/(534/24 + -22). Let k(x) be the second derivative of -2/15*x**2 + 0 + j*x**3 - 1/90*x**4 + 30*x. Determine m, given that k(m) = 0.
1, 2
Let x = 6884/15 + -1375/3. Let c(p) be the first derivative of 16 + 3*p**2 + 3*p**4 + 0*p - 5*p**3 - x*p**5. Find z such that c(z) = 0.
0, 1, 2
Let g(d) be the third derivative of 3/40*d**4 + 0 - 1/100*d**5 - 66*d**2 - 1/5*d**3 + 0*d. Factor g(q).
-3*(q - 2)*(q - 1)/5
Factor 0 - 2/7*s**3 + 0*s - 10/7*s**2.
-2*s**2*(s + 5)/7
Solve -10/3*b**3 + 40/3*b - 52 - 1/3*b**4 + 43/3*b**2 = 0.
-13, -2, 2, 3
Let t be 4 - (3 + 2144/(-6396)). Let w = t + -1/533. Factor -w - 13/3*s**2 - 2*s**3 - 4*s - 1/3*s**4.
-(s + 1)**2*(s + 2)**2/3
Let f(m) be the second derivative of -m**5/30 - 32*m**4/9 - 1085*m**3/9 - 1922*m**2/3 - 28*m + 4. Suppose f(z) = 0. Calculate z.
-31, -2
Let f be 14 - 97/((-2522)/(-312)). Factor 70*a - 11*a**f + 1/2*a**3 - 100.
(a - 10)**2*(a - 2)/2
Suppose 520*l + 307 = 1347. Factor 35/2*f**3 - 345/4*f**l + 175*f - 125 - 5/4*f**4.
-5*(f - 5)**2*(f - 2)**2/4
Suppose 0 = -3*b - 5*r + 16, 4*b + 31*r = 30*r + 10. Let v(s) be the first derivative of -24/5*s**5 + 0*s**3 + 13 + 6*s**6 + s**4 + 0*s + 0*s**b. Factor v(t).
4*t**3*(3*t - 1)**2
Let z = 414 - 411. Find b such that 6*b - 23*b**z + 9*b**2 + b**3 - 3*b + 15*b**4 - 5*b**3 = 0.
-1/5, 0, 1
Suppose -14*l + 46 = 18. Let y be (-6 + 31/5)*(l - 2). Factor 2/5 - 2/5*h**4 + 4/5*h + y*h**2 - 4/5*h**3.
-2*(h - 1)*(h + 1)**3/5
Factor -1613 + 28*d**3 - 142*d**2 + 2*d**4 + 2570 + 5552 + 691 - 1680*d.
2*(d - 5)**2*(d + 12)**2
Suppose -257 + 139 = 11*x - 173. Let 3/4*d**x - 45/2*d + 87/4*d**3 + 75/8 - 3/2*d**2 - 63/8*d**4 = 0. Calculate d.
-1, 1/2, 1, 5
Solve -392/9 - 3760/9*f**2 + 252*f - 152/3*f**4 + 2312/9*f**3 + 28/9*f**5 = 0.
2/7, 1, 7
Suppose 4*g - 4*y = 4348, 11*g = 8*g + y + 3267. Let n = -1085 + g. Solve -16/7*d**4 + 40/7*d + 48/7 - 2/7*d**n - 4*d**2 - 6*d**3 = 0.
-3, -2, 1
Let m(f) be the first derivative of f**7/630 + f**6/45 - f**5/20 + 149*f**2/2 + 245. Let v(d) be the second derivative of m(d). Solve v(q) = 0 for q.
-9, 0, 1
Let p(b) be the third derivative of -b**6/660 - 5*b**5/66 - 13*b**4/12 + 169*b**3/33 + 71*b**2 - 2*b. Solve p(i) = 0.
-13, 1
Let m(a) be the second derivative of 20*a + 2/7*a**2 - 1/21*a**4 + 0 + 1/21*a**3 - 1/70*a**5. Factor m(n).
-2*(n - 1)*(n + 1)*(n + 2)/7
Let q(i) = i**3 + 11*i**2 - 24*i + 44. Let o be q(-13). Suppose -j = 2*d - 5*d - o, -10 = 2*d. Solve -16/9*y**2 + 2/3*y**j + 4/9 + 2/3*y = 0 for y.
-1/3, 1, 2
Let t(p) be the first derivative of 0*p + 110 + 7/2*p**3 - 1/2*p**2 - 19/8*p**4. Suppose t(v) = 0. What is v?
0, 2/19, 1
Let y = 363 + -291. Let a be (y - 72)/(8/2). Factor -2/3*f + 1/3*f**3 - 1/3*f**2 + a.
f*(f - 2)*(f + 1)/3
Let k = 542854 + -1628554/3. Let q(u) = -u - 6. Let r be q(-8). Factor k*p - 1 - 7/3*p**r + 2/3*p**3.
(p - 1)**2*(2*p - 3)/3
Let q be (-42)/(-5)*(2/(-6) + 28*14/588). Let 24/5 + q*i**2 - 2/5*i**3 - 32/5*i = 0. What is i?
2, 3
Let h = 125 + -113. Let s be 1/(-3) + h + 104/(-12). Let 1/5*a**s + 0*a - 3/5*a**2 + 4/5 = 0. What is a?
-1, 2
Let l(w) be the third derivative of -w**7/1365 + 7*w**6/390 + 16*w**5/195 - 4*w**2 + 33*w + 4. Suppose l(r) = 0. What is r?
-2, 0, 16
Suppose 34*r + 76*r - 1948 = 1352. Let f(c) be the first derivative of 2*c**2 + 16*c - 2/3*c**3 - r. Find l, given that f(l) = 0.
-2, 4
Let j = -478 - -484. Factor -j*x**2 - 62*x + 21*x**2 - 153*x + 70.
5*(x - 14)*(3*x - 1)
Let s(k) = 3*k**3 - 2*k**2 + 4*k - 2. Let x be s(1). Suppose 4*t**4 + 39*t**x - 34*t**3 + t - 137 - 3*t + 137 - 7*t**2 = 0. What is t?
-2, -1/4, 0, 1
Determine y, given that -352/17*y**4 + 24/17*y - 126/17*y**5 + 88/17*y**2 - 162/17*y**3 + 0 = 0.
-2, -1, -2/9, 0, 3/7
Let d(u) be the second derivative of -5*u**4/12 + 730*u**3/3 + 1465*u**2/2 - 57*u - 14. Factor d(h).
-5*(h - 293)*(h + 1)
Let n(o) = 189*o**2 - 1366*o - 1390. Let y(z) = 86*z**2 - 683*z - 694. Let t(l) = -5*n(l) + 11*y(l). Factor t(i).
(i - 684)*(i + 1)
Suppose -6*z + 2*z - 4*b + 68 = 0, -2*z - 4*b + 32 = 0. Find d, given that -7*d**2 - 2*d**2 - 8*d**2 - 4*d**2 + z*d**2 - 138 + 141*d = 0.
1, 46
Let p(c) be the second derivative of c**6/70 - 9*c**5/20 + 30*c**4/7 + 32*c**3/7 - 71*c**2/2 + 59*c. Let z(o) be the first derivative of p(o). Factor z(n).
3*(n - 8)**2*(4*n + 1)/7
Let t = 355741/60 - 5929. Let c(x) be the third derivative of 0*x**3 - 1/3*x**4 + 0*x + 8*x**2 + 0 - t*x**6 + 2/15*x**5. Solve c(i) = 0 for i.
0, 2
Let k be (-10)/(-1) - (((-5430)/165 - -40) + -2). What is u in -36/11*u**2 + k*u - 20/11*u**3 + 54/11 - 2/11*u**5 + 14/11*u**4 = 0?
-1, 3
Let a(t) be the first derivative of 157 + 0*t + 20*t**3 - 25/2*t**4 + t**5 + 180*t**2. Factor a(x).
5*x*(x - 6)**2*(x + 2)
Let x(v) = v**4 - 7*v**3 + 5*v**2 + 29*v - 32. Let n(f) = -3*f**4 + 15*f**3 - 9*f**2 - 58*f + 65. Let a(u) = -6*n(u) - 15*x(u). Suppose a(p) = 0. What is p?
-5, -3, 1, 2
Let i(z) be the third derivative of z**8/336 - 9*z**7/35 - 361*z**6/120 + 9*z**5/10 + 15*z**4 + 4474*z**2. What is v in i(v) = 0?
-6, -1, 0, 1, 60
Let k(o) be the second derivative of o**7/42 - 9*o**6/10 + 26*o**5/5 + 257*o**4/3 + 320*o**3 + 512*o**2 + o + 1242. Find w, given that k(w) = 0.
-2, -1, 16
Suppose -2/5*b**2 - 246/5*b - 244/5 = 0. Calculate b.
-122, -1
Let g = -30090 - -30093. Determine d so that -44/5*d**2 - 2*d**g + 104/5*d + 6/5*d**4 - 48/5 = 0.
-3, 2/3, 2
Let w(q) = 4*q + 98. Let g be w(-24). Factor -15*s**4 + g*s - 3*s**3 + 4*s**2 + 13*s**4 + 2*s**2 - 2*s**3 + 3*s**3 - 4.
-2*(s - 1)**2*(s + 1)*(s + 2)
Suppose 7*g + 4 = 5*g + 2*q, 2*g + 4*q + 22 = 0. Let f(a) = 8*a**2 - 27*a - 5. Let d(x) = -x**2 + 1. Let w(t) = g*d(t) - f(t). Let w(b) = 0. Calculate b.
0, 9
Let p be (144/(-10))/((-55 - 62)/39). Solve 4/5*r**3 + 0 - 4*r**2 + p*r = 0.
0, 2, 3
Determine l, given that -5*l**3 + 39*l**3 - 108*l**2 + l**4 - 37 - 5185*l + 5295*l = 0.
-37, 1
Let z = 160 - 195. Let y be -4 + (56/z)/((-33)/90). Solve 10/11*g**4 + 6/11*g**3 + 0 + 0*g - y*g**2 = 0.
-1, 0, 2/5
Suppose 4*s = 81 + 223. Factor 21*v + 49*v**2 - s*v + v**2 + 5*v**3.
5*v*(v - 1)*(v + 11)
Let n = -116 + 121. Find g, given that -9*g**2 - n - g**2 + 8*g**2 + 7*g**2 = 0.
-1, 1
Let b(k) be the second derivative of 1/15*k**6 - 2/5*k**5 - 3*k - 3 - 16*k**2 + 16/3*k**3 + 0*k**4. Find m such that b(m) = 0.
-2, 2
Let o(y) be the third derivative of y**5/330 + 61*y**4/11 + 44652*y**3/11 + 141*y**2 - 11. Factor o(u).
2*(u + 366)**2/11
Let t(m) be the first derivative of m**5 + 185*m**4/4 - 385*m**3/3 + 195*m**2/2 + 2874. Factor t(b).
5*b*(b - 1)**2*(b + 39)
Let p = 8 + -5. Let h(q) = -q**4 - 7*q**2 - 16*q - 2. Let y(m) = 2*m**4 + m**3 + 6*m**2 + 15*m + 3. Let b(i) = p*h(i) + 2*y(i). Factor b(w).
w*(w - 3)*(w + 2)*(w + 3)
Let f(o) = o**3 - 29*o**2 + 126*o - 27. Let m be f(5). Let 16/3 - 4/9*p**m - 20/9*p**2 + 32/9*p = 0. Calculate p.
-6, -1, 2
Let f(c) be the first derivative of -1/15*c**4 + 3*c + 0*c**3 + 0*c**2 - 1/50*c**5 + 3. Let d(q) be the first derivative of f(q). Solve d(w) = 0 for w.
-2, 0
Suppose -p - 6 = -21. Suppose -57 + 91 = 17*o. Determine k so that 27*k**3 + p*k**4 + 3*k**5 + 8*k + 21*k**o + 9*k - 11*k = 0.
-2, -1, 0
Suppose -b = -4*f - 22, -3*b + 0*f + 2*f = -16. Solve -o**2 - 2*o**2 + 5*o**5 - 3*o**5 - 6*o**3 + 2*o**b + 5*o**2 = 0 for o.
-2, 0, 1
Factor -15*a - 1210*a**2 - 21*a - 24*a + 78*a - 22*a.
-2*a*(605*a + 2)
Let t(u) be the first derivative of 5 + 4/3*u**4 - 1/15*u**5 + 19*u**2 - 32/3*u**3 + 0*u. Let m(p) be th