se 14*z + 21 = 26 + 37. Let t(g) be the first derivative of -25/3*g**z - 20*g**2 - 20*g - 5/4*g**4 + 14. Suppose t(b) = 0. What is b?
-2, -1
Let j = 5043 - 5039. Let a(u) be the third derivative of 0*u + 5/24*u**j + 0 + 12*u**2 + 1/42*u**7 - 1/24*u**6 + 0*u**3 - 1/12*u**5. Factor a(h).
5*h*(h - 1)**2*(h + 1)
Suppose 48*g + 5 = -15*g + 257. Let d(u) be the first derivative of 1/18*u**2 - 28 + 2/27*u**3 - 1/36*u**g - 2/9*u. Determine c, given that d(c) = 0.
-1, 1, 2
Let y(j) be the first derivative of 9*j**4/10 - 8*j**3/3 - 71*j**2/5 + 60*j - 9817. Factor y(w).
2*(w - 3)*(w - 2)*(9*w + 25)/5
Let t be ((-4)/14)/1 + (-130184)/(-336). Let c = -387 + t. Factor -c*k + 1/3*k**2 + 1/6*k**3 - 1/3.
(k - 1)*(k + 1)*(k + 2)/6
Let u(h) = 8*h**3 + 2160*h**2 + 777600*h + 93311985. Let w(t) = 6*t**3 + 2160*t**2 + 777600*t + 93311990. Let y(n) = -2*u(n) + 3*w(n). Factor y(l).
2*(l + 360)**3
Factor -15/4*s**3 + 0 - 1/2*s - 3/4*s**5 - 11/4*s**4 - 9/4*s**2.
-s*(s + 1)**3*(3*s + 2)/4
Suppose 70*i + 12232 = 12442. Solve -4/7*a**2 - 6/7 + 11/7*a - 1/7*a**i = 0 for a.
-6, 1
Let d be 1332/37 + -42 - (1 + 1 + -8). Solve 1/5*v**4 - 3/5*v**3 + 2/5*v**5 + 1/5*v - 1/5*v**2 + d = 0.
-1, 0, 1/2, 1
Let f(s) be the third derivative of -s**8/84 - 796*s**7/105 - 79*s**6/6 + 794*s**5/15 - s**2 - 1990*s. Solve f(h) = 0.
-397, -2, 0, 1
Let v(y) be the first derivative of 32/5*y**2 - 4/15*y**3 - 256/5*y - 65. Factor v(t).
-4*(t - 8)**2/5
Let f = -26392 - -52829/2. Let x(b) be the first derivative of 0*b - 5/3*b**3 + f*b**2 + 21. Let x(m) = 0. What is m?
0, 9
Let d be 8*(-3 - 585/(-120)*2/3). Let o(n) be the second derivative of 1/75*n**6 + 0*n**d + 0*n**3 + 14*n + 3/50*n**5 + 1/15*n**4 + 0. Factor o(c).
2*c**2*(c + 1)*(c + 2)/5
Let p = 75803/45483 + 2/45483. Let h(m) be the first derivative of 0*m**2 + p*m**3 - 15 + 0*m - 1/4*m**4. Factor h(k).
-k**2*(k - 5)
Let a(o) = -4*o**3 + 2569*o**2 + 10306*o + 10277. Let v(i) = 2*i**3 - 1284*i**2 - 5152*i - 5140. Let m(j) = 4*a(j) + 9*v(j). Factor m(g).
2*(g - 644)*(g + 2)**2
Let p(v) be the first derivative of v**4 + 16*v**3/3 - 62*v**2 - 280*v + 10485. Solve p(s) = 0.
-7, -2, 5
Let g(x) = 22*x**2 + 238*x + 12. Suppose 5*z = -11 + 71. Let p(s) = -9*s**2 - 95*s - 5. Let j(m) = z*p(m) + 5*g(m). Factor j(b).
2*b*(b + 25)
Let f(m) be the second derivative of m**6/165 - 9*m**5/110 - m**4/3 + 71*m + 8. Factor f(z).
2*z**2*(z - 11)*(z + 2)/11
Let n = -184 + 256. Suppose -5 = h, -j - 53 + n = -3*h. Find l, given that -l**2 + 0*l**3 + 1/2 + 0*l + 1/2*l**j = 0.
-1, 1
Let w(o) be the third derivative of 1/15*o**5 + 1/100*o**6 - 35*o**2 - 1/525*o**7 + 0*o - 2 + 0*o**3 + 0*o**4. Factor w(a).
-2*a**2*(a - 5)*(a + 2)/5
Let v be (-1 - (-7)/2)*(-452)/(-565). Factor 9*d**3 - 3*d**4 + 132209*d**2 - 132209*d**v.
-3*d**3*(d - 3)
Let n(g) be the first derivative of -g**3/27 - 25*g**2/3 - 149*g/9 - 8832. Solve n(s) = 0 for s.
-149, -1
Let r(y) be the third derivative of y**6/30 + 68*y**5/15 + 377*y**4/6 + 620*y**3/3 - 2387*y**2. Suppose r(z) = 0. What is z?
-62, -5, -1
Let g(n) be the third derivative of n**6/40 + 47*n**5/100 - 19*n**4/20 - 8*n**3 + 66*n**2 + 3*n. Factor g(b).
3*(b + 1)*(b + 10)*(5*b - 8)/5
Let t be 5 - (2/(-50) + (-2394)/(-475)). Determine o so that -1/7*o**2 + 15/7*o + t = 0.
0, 15
Suppose 25*q - 29*q = o - 23, -2*q = -o - 19. Determine i, given that -80 + 17*i + q*i + 248*i**2 + 21*i + 40*i - 253*i**2 = 0.
1, 16
Let z(h) be the first derivative of h**6/36 - 22*h**5/15 - 23*h**4/6 - h**3/9 + 91*h**2/12 + 23*h/3 + 3037. Factor z(j).
(j - 46)*(j - 1)*(j + 1)**3/6
Let s(o) be the second derivative of -o**5/50 + 7*o**4/2 - 308*o**3/15 + 204*o**2/5 - 424*o. Suppose s(y) = 0. Calculate y.
1, 2, 102
Let u(p) be the second derivative of p**5/4 + 43*p**4/3 - 35*p**3/2 - p + 337. Factor u(q).
q*(q + 35)*(5*q - 3)
Suppose -2*x + 6*x - 34 = 2*u, -4*x + 42 = -10*u. Let w(d) be the first derivative of 2/3*d**6 + 0*d**2 - 3 - 16/3*d**3 + 0*d + x*d**4 - 4*d**5. Factor w(c).
4*c**2*(c - 2)**2*(c - 1)
What is l in -2*l**3 - 59*l**2 + 61*l**2 + 52*l + 2*l**3 + 32*l - 2*l**3 = 0?
-6, 0, 7
Let s be (-2)/4 + 146/4. Solve 101*x**2 + 4*x + 4*x**2 - 32 - 19*x**2 + 4*x + 10*x**3 + s*x = 0 for x.
-8, -1, 2/5
Let u = 14 + -5. Let h be u/(-63) - (-44)/14. Let -h*i**2 + 4*i**5 - 33*i**2 + 38*i**4 + 2*i**3 + 10*i**3 - 18*i**4 = 0. Calculate i.
-3, 0, 1
Let v(b) be the third derivative of 2/21*b**4 - 1/14*b**5 + 0 + 2*b**2 + 1/70*b**6 - 8*b + 0*b**3 + 1/735*b**7. Factor v(x).
2*x*(x - 1)**2*(x + 8)/7
What is v in -4*v**2 + 27*v + 5*v**2 + 24*v - 116*v - 4*v - 702 = 0?
-9, 78
Let y = 860 + -269. Let n = -591 + y. Factor -24/5*u**4 + 0*u - 4/5*u**2 + n - 18/5*u**3 - 2*u**5.
-2*u**2*(u + 1)**2*(5*u + 2)/5
Let g(b) be the first derivative of -b**5/10 - 3*b**4/2 - 6*b**3 - 8*b**2 - 1339. Suppose g(w) = 0. What is w?
-8, -2, 0
Let g = -477 + 3345/7. Let t(j) = -j**3 - 36*j**2 - 69*j + 1. Let q be t(-2). Factor 20/7*k**2 + 3/7*k**q + 11/7*k - g.
(k + 1)*(k + 6)*(3*k - 1)/7
Let l(i) be the second derivative of -i**5/40 + 31*i**4/24 - 155*i**3/12 + 125*i**2/4 + 392*i - 2. Factor l(j).
-(j - 25)*(j - 5)*(j - 1)/2
Let g be 855/(-228) + 1/(-4). Let s(f) = f**3 + 4*f**2 - 10*f - 37. Let c be s(g). Factor -2 + 1/2*w**3 - c*w**2 + 9/2*w.
(w - 4)*(w - 1)**2/2
Let s be (-12)/15*(2675/(-10))/(-1). Let t = -214 - s. Suppose -4/5*l**2 + t - 4/5*l - 1/5*l**3 = 0. Calculate l.
-2, 0
Let r = -5459 + 2635. Let t = r + 8576/3. Suppose 0 - 4*x**4 - 196/9*x**2 + t*x**3 + 32/9*x = 0. Calculate x.
0, 1/3, 8
Let k(r) be the third derivative of r**5/60 - r**4/12 + r**3/6 + 130*r**2. Let n(t) = -t**3 - 3*t**2 + 9*t - 5. Let a(z) = 3*k(z) + 3*n(z). Factor a(h).
-3*(h - 1)**2*(h + 4)
Let g be (12/(-33))/((-21)/231). Let d(q) be the second derivative of 0 + 1/4*q**3 + 26*q - 1/24*q**g + 0*q**2. Find s, given that d(s) = 0.
0, 3
Let a = 579351/29710 + -3/14855. Factor -3/2*r**2 + 0 + a*r.
-3*r*(r - 13)/2
Suppose -4*a + 4*w - 56 = -60, 26*a - 4 = 4*w. Determine v, given that a - 1/2*v**4 - 1/2*v**2 - v**3 + 0*v = 0.
-1, 0
Let y = 1212 - 1639. Let u be -428 - y - ((-38)/8)/1. Let 5/4*g**3 - 1 + u*g**2 + 3/4*g**5 - 2*g - 11/4*g**4 = 0. Calculate g.
-1, -1/3, 1, 2
Let q be (11*(-2)/4)/((-6)/(264/11)). Let o(z) be the second derivative of 1/6*z**3 + 0 + 4/9*z**2 + q*z + 1/108*z**4. Factor o(m).
(m + 1)*(m + 8)/9
Suppose -96 = -3*y - 90. Suppose -12*g = -38*g + 78. Factor -5*o**y + 0 + 5/3*o**4 - 10/3*o**g + 0*o.
5*o**2*(o - 3)*(o + 1)/3
Factor -4*u**3 + 537*u**2 - 1440*u**4 - 4*u**3 - 1418*u**4 + 2*u**3 - 6804 + 2376*u + 2855*u**4.
-3*(u - 14)*(u - 2)*(u + 9)**2
Let h(j) be the first derivative of -j**5/10 + 71*j**4/2 - 5041*j**3 + 357911*j**2 - 25411681*j/2 + 5900. Factor h(t).
-(t - 71)**4/2
Let k(y) = -y**4 + y**3 + y**2 + 3. Let v(z) = 2*z**5 + 506*z**4 - 18*z**3 - 4034*z**2 + 32*z + 8058. Let g(c) = -2*k(c) - v(c). Let g(l) = 0. Calculate l.
-252, -2, 2
Let a(j) be the second derivative of -j**4/60 + 734*j**3/15 - 269378*j**2/5 + j - 2125. Factor a(h).
-(h - 734)**2/5
Suppose -49*n + 146*n - 48*n = 50*n. Factor n + 3*t + 29/6*t**2 - 5/6*t**4 - 7*t**3.
-t*(t - 1)*(t + 9)*(5*t + 2)/6
Let j(q) = 3*q**2 + 306*q - 4809. Let s(g) = g**2 + 307*g - 4808. Let m = 403 + -399. Let v(o) = m*s(o) - 3*j(o). Solve v(f) = 0 for f.
31
Let d(i) = -6*i**3 - 354*i**2 - i + 368. Let j(r) = r**3 + 2*r**2 - 4. Let b(u) = -4*d(u) - 28*j(u). What is t in b(t) = 0?
-1, 1, 340
Let n(i) be the first derivative of -i**5/40 - 3*i**4/16 - i**3/2 - 2*i**2 + 13*i - 117. Let u(m) be the second derivative of n(m). Factor u(o).
-3*(o + 1)*(o + 2)/2
Let o(r) be the third derivative of r**7/840 - 7*r**6/60 + 329*r**4/24 + 82*r**2. Let c(k) be the second derivative of o(k). What is p in c(p) = 0?
0, 28
Let p(q) be the first derivative of -q**6/60 + 9*q**5/50 + 23*q**4/40 - 3*q**3/10 - 11*q**2/10 - 6287. Determine i, given that p(i) = 0.
-2, -1, 0, 1, 11
Let h(u) = -39*u + 225. Let x be h(5). Let b be 133/196 + x/(-70). Factor -b - 1/4*o**2 + 1/2*o.
-(o - 1)**2/4
Let d = 3430 - 3424. Let a(b) be the first derivative of 16/5*b**5 - 8*b**2 - 16/3*b**3 + 2/3*b**d + 9 + 3*b**4 + 0*b. Factor a(q).
4*q*(q - 1)*(q + 1)*(q + 2)**2
Let c(z) be the second derivative of -z**4/48 - z**3/8 + 9*z**2/4 + z - 184. Factor c(d).
-(d - 3)*(d + 6)/4
Suppose -12*q = 1