at 1 - h*d**2 - 9 + 14*d + d**3 - 2*d = 0.
2
Suppose 1245*j - 1255*j = 0. Let u(t) be the second derivative of -1/24*t**4 + 1/15*t**6 + 22*t + 0 - 3/40*t**5 + j*t**2 + 0*t**3. Find a, given that u(a) = 0.
-1/4, 0, 1
Let i(b) = 94*b + 3. Let m = -1323 + 1323. Let j be i(m). Solve 3/2*x**j - 1/2*x**4 + 1/2*x + 0 - 3/2*x**2 = 0.
0, 1
Let b(k) be the third derivative of k**6/72 + 10*k**5/9 + 595*k**4/24 - 245*k**3 + 345*k**2 - 1. Factor b(c).
5*(c - 2)*(c + 21)**2/3
Let q(t) = -t**3 - 5*t**2 - 10*t + 1. Let s be q(-6). Factor -193 + s + 108 - 2*n**2 + 10*n.
-2*(n - 6)*(n + 1)
Let j(t) be the third derivative of 0 - 40*t**2 + 1/300*t**6 - 1/3*t**3 + 11/60*t**4 + t - 7/150*t**5. Factor j(s).
2*(s - 5)*(s - 1)**2/5
Let f(s) be the third derivative of s**7/210 + 11*s**6/120 + s**5/30 - 23*s**4/6 - 20*s**3 + 407*s**2 - 1. Solve f(g) = 0.
-10, -2, 3
Let h(b) be the first derivative of 5*b**3/3 + 90*b**2 + 1626*b - 6. Let w(k) = 5*k**2 + 180*k + 1625. Let l(d) = -5*h(d) + 6*w(d). Find c, given that l(c) = 0.
-18
Let z(n) = 5*n**2 - 31*n + 8. Let p be z(8). Factor -p - 77 + 24*x + 3*x**2 + 130.
3*(x - 1)*(x + 9)
Let c(z) be the third derivative of -108*z**2 - 1/12*z**5 + 0 - 25/3*z**4 + 0*z - 1000/3*z**3. Factor c(t).
-5*(t + 20)**2
Let u = 483 + -469. Factor j**5 - 7*j**2 - 2*j - u*j + 4*j**2 - 9*j**2 - 4*j**2 + 4*j**4.
j*(j - 2)*(j + 2)**3
Let 2810*w**4 + 8*w**3 - 2812*w**4 + 72 + 74*w**2 + 46*w + 90*w = 0. Calculate w.
-2, -1, 9
Let l(f) be the second derivative of 1/160*f**5 - 144*f + 85/16*f**3 - 31/96*f**4 + 0 - 225/16*f**2. Find n such that l(n) = 0.
1, 15
Let q = 42 - 30. Determine s so that 24*s**2 + 20*s**2 - q*s**4 + 4*s**3 + 16 - 116*s + 164*s - 4*s**5 = 0.
-2, -1, 2
Let l(j) be the second derivative of -8/3*j**2 + 4/9*j**4 + 1/15*j**5 - 3*j - 2/9*j**3 + 0. Determine h so that l(h) = 0.
-4, -1, 1
Let l be (-6)/20*(8/12 + 20)*-1. Factor 56/5*i**3 + 0 - 16/5*i**4 + 4/5*i + l*i**2.
-i*(i - 4)*(4*i + 1)**2/5
Let h(w) be the first derivative of 0*w**2 + 1/240*w**6 + 3/40*w**5 - 10/3*w**3 - 12 + 0*w**4 + 0*w. Let v(g) be the third derivative of h(g). Factor v(q).
3*q*(q + 6)/2
Let z(u) = -79*u**2 - 10277*u - 906. Let s be z(-130). Factor 8*w**3 - 4/3*w**s + 0 - 7*w**2 + 5/3*w.
-w*(w - 5)*(2*w - 1)**2/3
Let w(f) be the second derivative of 2*f**7/63 - 32*f**6/45 - 28*f**5/15 + 178*f**4/9 + 38*f**3 - 204*f**2 + 2267*f. Find t, given that w(t) = 0.
-3, -2, 1, 3, 17
Let s(g) be the first derivative of g**5/70 - 3*g**4/14 + 8*g**3/7 - 16*g**2/7 - 114*g - 96. Let l(o) be the first derivative of s(o). Factor l(d).
2*(d - 4)**2*(d - 1)/7
Let g(m) = 7*m**4 + 5*m**3 + 68*m**2 - 21*m - 11. Let f(p) = -4*p**4 - 3*p**3 - 42*p**2 + 11*p + 6. Let x(r) = -10*f(r) - 6*g(r). Factor x(h).
-2*(h - 3)*(h + 1)**3
Let k(c) = 16*c**3 - 48*c**2 - 224*c - 140. Let v(m) = -m**3 + 3*m + 1. Let i(h) = -k(h) - 20*v(h). Factor i(x).
4*(x + 1)*(x + 5)*(x + 6)
Let w be ((-1)/(-2))/(77/95326). Factor -w*m**5 - 17*m**2 + m**2 + 7*m - 24*m**3 + 25*m + 7*m**4 + 623*m**5 - 3*m**4.
4*m*(m - 2)*(m - 1)*(m + 2)**2
Let p(c) be the first derivative of -c**4/5 + 38*c**3/15 - 9*c**2/5 + 4521. Factor p(s).
-2*s*(s - 9)*(2*s - 1)/5
Let h = -2746/5 - -550. Let f = 2/1013 + 8094/5065. Let h*p**5 - 1/5 - 2/5*p**3 - 2/5*p - 7/5*p**4 + f*p**2 = 0. Calculate p.
-1, -1/4, 1
Let r(m) = -4*m**2 - 18*m + 25. Let l(c) = -22 - 26 + 36*c + 7*c**2 + 12 - 12. Let h(t) = 6*l(t) + 10*r(t). Factor h(s).
2*(s - 1)*(s + 19)
Suppose -8*n - n = -45. Factor 15212*y**4 + 9*y**2 + 3*y**n - 15209*y**4 - 12*y**3 - 3*y**3.
3*y**2*(y - 1)**2*(y + 3)
Let l be ((-2)/7 - 0) + (-160)/(-70). Suppose -t - t = l*t. Factor t*f**2 + 0*f + 0 - 2/5*f**5 - 3/5*f**4 - 1/5*f**3.
-f**3*(f + 1)*(2*f + 1)/5
Factor -5324*u**4 + 729*u**2 + 577*u**2 + 3444*u**3 + 74*u**2 + 5309*u**4.
-3*u**2*(u - 230)*(5*u + 2)
Factor -4253 - 1456*y - 304*y**2 + 19933 + 4*y**3 + 272*y**2.
4*(y - 14)**2*(y + 20)
Let t = -2868 + 2870. Let c(x) be the first derivative of -2/3*x**3 - 11/4*x**4 + 14 - 7/6*x**6 + 0*x + 0*x**t - 16/5*x**5. Factor c(d).
-d**2*(d + 1)**2*(7*d + 2)
Let f be ((-130)/143)/(((-850)/(-4488))/(-5)). Solve -28/5*l + f - 4/5*l**2 = 0.
-10, 3
Let h = 383193 + -383191. Let -80/3*a**5 - 16/3*a - 292/3*a**4 - 108*a**3 + 0 - 128/3*a**h = 0. Calculate a.
-2, -1, -2/5, -1/4, 0
Factor 23584/5*d + 179/5*d**3 + 15488/5 + 8274/5*d**2 + 1/5*d**4.
(d + 1)*(d + 2)*(d + 88)**2/5
Let g(c) be the second derivative of -c**6/60 - 93*c**5/20 - 961*c**4/2 - 59582*c**3/3 + 105*c. Let g(h) = 0. Calculate h.
-62, 0
Let g be 11/(77/175) + -5. Let u be (g/45)/((-8)/(-36)). Factor -4/7*w - 4/7*w**u + 4/7 + 4/7*w**3.
4*(w - 1)**2*(w + 1)/7
Factor -1208 + 10*f**2 + 329*f - 14*f**2 + 4628 + 335*f.
-4*(f - 171)*(f + 5)
Solve 1/8*k + 4*k**2 - 4 - 1/8*k**3 = 0 for k.
-1, 1, 32
Let d = 1291 - 1284. Let h(a) be the third derivative of 0*a**4 + 0*a**5 + 0*a - 3*a**2 - 3/70*a**d - 5/448*a**8 + 0*a**3 + 0 - 1/40*a**6. Factor h(o).
-3*o**3*(o + 2)*(5*o + 2)/4
Let b be ((225/6)/15*3/(-15))/(430/(-1032)). Factor -87/5*c - 9 + b*c**2.
3*(c - 15)*(2*c + 1)/5
Let v(m) be the third derivative of -m**7/42 - m**6/24 + 5*m**5/2 - 95*m**4/6 + 140*m**3/3 + 71*m**2. Factor v(s).
-5*(s - 2)**3*(s + 7)
Let k be 50/7 + -8 + 1062/14. Suppose -k*y + 4*n = -71*y - 32, y + 3*n = -4. Factor -4/13*l**2 + 6/13*l**4 - 4/13*l**3 - 2/13*l**y - 2/13 + 6/13*l.
-2*(l - 1)**4*(l + 1)/13
Let a(r) = 2*r**2 - 19*r + 65. Let b be a(7). Suppose 16*w**3 + 12*w**2 + b + 55*w + 25*w**2 - 21*w**3 - 17*w**2 = 0. What is w?
-1, 6
Let o(t) be the first derivative of t**6/27 + 2*t**5/3 - 37*t**4/18 - 86*t**3/27 + 44*t**2/3 - 136*t/9 - 770. Let o(w) = 0. Calculate w.
-17, -2, 1, 2
What is g in 0*g + 0 - 1/6*g**2 - 71/6*g**3 = 0?
-1/71, 0
Let x be 20/(-18) + ((-29280)/(-54))/20 + -24. Let u = -28 - -89/3. Factor u*a + 4/3 + 1/3*a**x.
(a + 1)*(a + 4)/3
Find s, given that 18*s**2 + 41/4*s + 1 = 0.
-4/9, -1/8
Let f(s) = -6*s - 102. Let u be f(-11). Let v be -3 + 8/8 + u/(-14). Solve -12/7 - v*p**2 - 16/7*p = 0 for p.
-3, -1
Suppose 3*s = c + 42, -4*c - 15 + 1 = -s. Let 68*h**3 + 7 - 32*h**2 + s*h**5 - 2*h - 73*h**4 - 18 + 15 + 21*h**4 = 0. What is h?
-2/7, 1
Let n = 236220 - 236220. Let n*h - 4/11 + 1/11*h**2 = 0. What is h?
-2, 2
Suppose 5*n - 40 = x, -19 = 4*x - 3*n + 5. Let t(d) be the first derivative of 1 + 3/14*d**2 + x*d + 1/21*d**3. Factor t(a).
a*(a + 3)/7
Find k, given that -264/5*k - 4356/5 - 4/5*k**2 = 0.
-33
Let q be 776/64 - -1 - 1*2. Let n = -437/40 + q. What is v in -5 - n*v**2 - 2*v = 0?
-5
Let i(o) = 82*o + 3200. Let q be i(-39). Factor 10/3*p**3 - 12*p**q + 0 - 16/3*p.
2*p*(p - 4)*(5*p + 2)/3
Let p = 14686 + -44057/3. Let q(i) be the second derivative of 1/18*i**4 + 2/9*i**3 + 30*i + 0 + p*i**2. Determine w, given that q(w) = 0.
-1
Let r(k) = k. Let d = -42 + 49. Suppose 0 = 3*w - 11 - d. Let l(q) = q**2 - 3*q. Let v(f) = w*r(f) + l(f). Solve v(p) = 0 for p.
-3, 0
Let t = -388466 + 388468. Determine o, given that 4*o**3 - 64/3 + 224/3*o - 100/3*o**t = 0.
1/3, 4
Let d(z) be the second derivative of -5/36*z**4 + 0 - 2/9*z**3 + 0*z**2 - 1/60*z**5 + 27*z. Let d(s) = 0. What is s?
-4, -1, 0
Let w = -4376 + 4380. Let y(v) be the second derivative of -1/20*v**w - 13*v + 3/10*v**3 + 0 + 0*v**2. Solve y(s) = 0.
0, 3
Let d = -1768929 - -1768931. Find s, given that -27/7*s**d - 3 + 3/7*s**3 + 45/7*s = 0.
1, 7
Let 2/9*k**3 + 472/9 - 2/9*k - 472/9*k**2 = 0. Calculate k.
-1, 1, 236
Let r(g) = 166*g**3 + 1411*g**2 - 249216*g - 250629. Let m(b) = -222*b**3 - 1410*b**2 + 249216*b + 250628. Let n(p) = 3*m(p) + 4*r(p). What is l in n(l) = 0?
-1, 354
Let x(c) be the first derivative of -c**6/360 - 19*c**5/60 - 361*c**4/24 + 19*c**3/3 - 5. Let q(i) be the third derivative of x(i). Factor q(n).
-(n + 19)**2
Suppose -151 = -39*p + 5. Let v(u) be the first derivative of -1/22*u**p + 0*u - 8/33*u**3 - 3/11*u**2 + 35. Let v(n) = 0. Calculate n.
-3, -1, 0
Determine b, given that 0*b**3 + 1062/5*b**2 + 1056/5 - 2116/5*b - 2/5*b**4 = 0.
-24, 1, 22
Let s(l) = 86*l - 1116. Let i be s(13). Let j(o) be the first derivative of 8 - 1/8*o**4 + 1/4*o - 1/12*o**3 + 1/48*o**6 + 0*o**5 + 3/16*o**i. Factor j(r).
(r - 2)*(r - 1)*(r + 1)**3/8
Let g(d) be the first derivative of 0*d**3 - 2*d**4 + 0*d**5 + 2/3*d**6 + 2*d**2 + 11 + 0*d. Determine m,