ird derivative of f(p). Factor j(a).
a**2*(a + 1)*(9*a + 2)/3
Let q(u) be the second derivative of -u**7/21 + 71*u**6/60 - 159*u**5/20 + 131*u**4/6 - 58*u**3/3 - 24*u**2 - 32*u + 6. Determine p so that q(p) = 0.
-1/4, 2, 12
Let r(l) be the first derivative of 4/5*l**3 + 0*l**2 + 1/10*l**4 + 0*l + 52. Factor r(a).
2*a**2*(a + 6)/5
Suppose -10/3*b**4 + 208/9*b - 44/9*b**3 + 40/3*b**2 + 0 - 2/9*b**5 = 0. Calculate b.
-13, -2, 0, 2
Let h be 5/(-10)*2*-4. Suppose -p + h = 0, -a = -p - 8 - 3. Suppose -a*c**3 + 4*c + 6*c**2 + 8*c - 14*c**2 - 16*c**2 = 0. What is c?
-2, 0, 2/5
Let a be ((-10)/(-8))/(128/(-608) + (-159)/(-304)). Determine w, given that -a*w - 1/4*w**2 + 17/4 = 0.
-17, 1
Let c(q) = -q**3 + 20*q**2 + 20*q - 29. Let g be c(21). Let f = -45 - g. Find b, given that 15*b - 12 + 3*b**2 + b**2 - f*b**2 - 2*b**2 = 0.
1, 4
Let z(m) be the first derivative of m**4/2 + 20*m**3/3 + 24*m**2 - 3329. Factor z(b).
2*b*(b + 4)*(b + 6)
Let f(u) be the second derivative of -u**4/6 - 1046*u**3/3 - 273529*u**2 + 3978*u. Suppose f(n) = 0. What is n?
-523
Let j be 32/2 - (210 + -196). Let r(z) be the second derivative of 0 - z + 0*z**3 + 2/25*z**5 - 1/30*z**4 - 1/25*z**6 + 0*z**j. Factor r(s).
-2*s**2*(s - 1)*(3*s - 1)/5
Let x(i) be the third derivative of -1/2*i**3 + 0*i + 6*i**2 + 1/20*i**5 - 1/80*i**6 + 1/16*i**4 - 4. What is z in x(z) = 0?
-1, 1, 2
Let f = -894 + 484. Let k = 414 + f. Solve 0 + 1/9*q**5 + 1/3*q**k - 2/9*q - 1/3*q**2 + 1/9*q**3 = 0 for q.
-2, -1, 0, 1
Factor -84 - 5*b**3 + 173*b**2 - 56*b + 1170*b - 423*b - 351*b - 4*b**3.
-(b - 21)*(b + 2)*(9*b - 2)
Let t(d) be the first derivative of -d**4/8 + 437*d**3/6 - 47523*d**2/4 - 47961*d/2 + 2686. Factor t(i).
-(i - 219)**2*(i + 1)/2
Let s(x) be the first derivative of x**5/25 + 21*x**4/20 + 4*x**3/3 - 4356. Let s(l) = 0. Calculate l.
-20, -1, 0
Suppose 7 + 28 = c + 12. Let k(o) be the first derivative of c + 2/5*o + 2/5*o**2 + 2/15*o**3. Solve k(l) = 0 for l.
-1
Let v(i) = i + 2. Let m(y) = 5*y**2 - 70*y - 70. Suppose 25*w - 32 = -7. Let j(f) = w*m(f) - 5*v(f). Find c such that j(c) = 0.
-1, 16
Let j be (-16)/30*23/(17940/(-325)). Let h = 47 + -422/9. Factor -1/9*i**2 - h*i**4 + 0 + 0*i + j*i**3.
-i**2*(i - 1)**2/9
Suppose 2*n + 22*l = 21*l + 61, 172 = 5*n - 4*l. Find a, given that -3*a**2 - a**5 + 2*a**3 + 34*a**4 - 3*a**3 + 2*a + n*a**4 - 63*a**4 = 0.
-1, 0, 1, 2
Let v(m) be the first derivative of -11*m**4/12 - 12*m**3 + 48*m**2 + 8378. What is u in v(u) = 0?
-12, 0, 24/11
Let a be (-14)/60*(-37200)/17360. Factor -4 - 1/2*u**3 + 5*u - a*u**2.
-(u - 2)*(u - 1)*(u + 4)/2
Let c(n) = -n**2 - 19*n - 88. Let h be c(-10). Suppose -2*p - h*q + 2 = 0, p + 2*p = 3*q + 9. Suppose 8/7*b**p - 4/7 + 4/7*b = 0. Calculate b.
-1, 1/2
Let j(s) be the second derivative of 0*s**3 + 1/30*s**6 - 12*s - 1/10*s**5 + 0*s**2 + 1 + 0*s**4. Factor j(q).
q**3*(q - 2)
Factor 79*n**2 + 222*n + 45 - 173*n**2 + 391 + 96*n**2.
2*(n + 2)*(n + 109)
Let w(s) be the third derivative of -s**5/36 - 5*s**4/9 + 40*s**3/3 + 418*s**2. Let w(l) = 0. What is l?
-12, 4
Let r be (36/(-8))/(((-1)/10)/(-1)). Let y = r + 45. Find m such that -9/5*m**4 + 0*m**2 + 0*m - 2/5*m**3 + y = 0.
-2/9, 0
Let a = 183361/62751 + 5/4827. Let -22/13*q + a*q**2 - 6/13 - 10/13*q**3 = 0. What is q?
-1/5, 1, 3
Factor 989 - 5*j**2 - 15*j**2 + 22*j**2 - 3725 - 906*j.
2*(j - 456)*(j + 3)
Let l(s) be the second derivative of -3*s**5/20 + 21*s**4/2 - 288*s**3 + 3840*s**2 + 3313*s. Factor l(q).
-3*(q - 16)**2*(q - 10)
Let l(g) be the third derivative of -g**5/160 + g**4/64 + 5*g**3/4 + 2*g**2 - 20. Let l(t) = 0. Calculate t.
-4, 5
Let u be (-1 + (-2126)/10)/(22/(-55)). Let y = -530 + u. Suppose 0*o**3 - 16/7 - 4/7*o**y + 20/7*o**2 + 0*o = 0. Calculate o.
-2, -1, 1, 2
Suppose 0 = -7*p - 3075 - 852. Let w be 12/(-14) + p/(-385). Factor -6/5*y**2 - w*y**3 + 6/5 + 3/5*y.
-3*(y - 1)*(y + 1)*(y + 2)/5
Let x = 75 - 55. Suppose 0 = 3*b - 88 + 82. Factor 10*h**3 - x*h + 20 + 9*h**b + 20*h**4 - 24*h**2 - 15*h**4.
5*(h - 1)**2*(h + 2)**2
Suppose 5*n - 60 = 4*t, 3*n - 23 = -5*t - 61. Suppose 4/3*q**3 + 0*q**n - 2/3*q**5 + 0 + 0*q**2 - 2/3*q = 0. What is q?
-1, 0, 1
Let o(y) = -y**2 + 1. Let t(b) = 2*b**3 + 46*b**2 + 242*b - 2. Let j be (24/108)/(1/9). Let z(x) = j*o(x) + t(x). Solve z(p) = 0.
-11, 0
Let a = -100045 + 900511/9. Find u such that a*u + 26/9 + 8/9*u**2 = 0.
-13, -1/4
Let c be ((-3162)/28985)/(6/(-20)*4/2). Find r, given that 0 + c*r**4 - 8/11*r**2 + 4/11*r**3 - 16/11*r = 0.
-2, 0, 2
Let u(x) be the second derivative of -x**8/1344 + x**4/4 + 7*x**2/2 + 48*x. Let s(d) be the third derivative of u(d). Find o such that s(o) = 0.
0
Let r be 34*35*(-72)/(-42840). Factor 88/3*p - 2/3*p**r + 30.
-2*(p - 45)*(p + 1)/3
Let u(c) = -8*c**2 - 40*c + 14. Let v = -331 + 327. Let x(m) = -4*m**2 - 19*m + 7. Let k(b) = v*u(b) + 7*x(b). Factor k(g).
(g + 7)*(4*g - 1)
Let w be 10374/5434 - 1/(-11). Factor 0*n - 4/3*n**3 + 0*n**w - 1/3*n**5 + 0 + 4/3*n**4.
-n**3*(n - 2)**2/3
Let z = -117 - -168. Let k = -46 + z. Factor -k*u**5 - 10*u**3 - 2*u + 5 + 9*u + 10*u + 10*u**2 - 15*u**4 - 2*u.
-5*(u - 1)*(u + 1)**4
Let y = 12 + -8. Determine n, given that 99*n**3 + 7*n + 44*n**2 - 120*n**4 - 74*n**2 + 18*n**5 + 30*n**5 - y*n = 0.
0, 1/4, 1
Let j(x) be the first derivative of -1/21*x**6 - 136/21*x**3 + 384/7*x + 32/7*x**2 + 0*x**4 + 2/5*x**5 - 99. Suppose j(z) = 0. What is z?
-2, 3, 4
Factor -136/3 - 94/9*s + 2/9*s**2.
2*(s - 51)*(s + 4)/9
Let w(d) = 161*d + 14. Let l be (2*-1 - (-18)/(-6))/(-1). Let q be w(l). Solve -p**2 - 11*p**3 + 12*p - 6*p**4 - 811 - p**5 - p**2 + q = 0 for p.
-2, -1, 1
Let c(j) be the first derivative of -27*j**4/4 - 5934*j**3 + 11877*j**2/2 - 1980*j - 1711. Factor c(y).
-3*(y + 660)*(3*y - 1)**2
Let w(h) be the second derivative of h**6/15 - 12*h**5/5 + 17*h**4 - 136*h**3/3 + 57*h**2 - 823*h. Suppose w(q) = 0. Calculate q.
1, 3, 19
Let -69/4*x**2 - 3/4*x**3 + 69 + 3*x = 0. Calculate x.
-23, -2, 2
Let i be 6/(-15) + (-1220)/(-50). Let g be 6/i - (-35)/(-20)*-1. Determine v so that 3/8*v**3 - 1/8*v**g + 0 - 1/4*v**4 + 0*v = 0.
0, 1/2, 1
Let f(k) be the first derivative of 12/7*k - 2/21*k**3 + 172 + 1/7*k**2. Factor f(x).
-2*(x - 3)*(x + 2)/7
Let t(c) = -2*c**3 - 13*c**2 + 26*c - 5. Let v(b) = -3*b**3 - 25*b**2 + 51*b - 13. Let w(j) = -5*t(j) + 3*v(j). Suppose w(i) = 0. Calculate i.
1, 2, 7
Let y(b) be the second derivative of 119/120*b**5 + 1/252*b**7 - 10/3*b**3 - 7/60*b**6 + 25/3*b**2 - 79/72*b**4 + 25*b + 0. Solve y(z) = 0 for z.
-1, 1, 10
Let r(i) be the second derivative of i**4/42 - 20*i**3/21 + 13*i**2 + 10572*i. Factor r(a).
2*(a - 13)*(a - 7)/7
Let q = -158543/16 + 9909. Let i(f) be the first derivative of 0*f**3 + 1/20*f**5 + 0*f**2 + 22 - q*f**4 + 0*f. Suppose i(k) = 0. Calculate k.
0, 1
Let k(f) be the third derivative of f**7/1785 - f**6/340 - 8*f**5/255 - f**4/17 - 2*f**2 - 39*f. Suppose k(c) = 0. What is c?
-2, -1, 0, 6
Let h(s) be the second derivative of 37/48*s**4 + 1/80*s**5 + 0 + 323/24*s**3 - 111*s - 361/8*s**2. Factor h(q).
(q - 1)*(q + 19)**2/4
Let r(b) be the first derivative of -b**6/135 + b**5/45 + b**4/18 - 44*b - 30. Let z(y) be the first derivative of r(y). Factor z(i).
-2*i**2*(i - 3)*(i + 1)/9
Let q be -4 - ((-2 - 0) + 1 - -1). Let f(o) = 10*o**2 + 10*o + 1. Let t be f(q). Factor 4 + 67*h - 15*h**2 + 66*h - t*h + 4*h**3.
(h - 2)**2*(4*h + 1)
Let x(f) be the third derivative of f**6/300 + 2*f**5/25 - 32*f**4/5 + 1792*f**3/15 + 1600*f**2. Determine l, given that x(l) = 0.
-28, 8
Let a(k) be the third derivative of 7*k**5/240 + 183*k**4/32 + 39*k**3/4 - 1185*k**2. Factor a(l).
(l + 78)*(7*l + 3)/4
Let w be (12/3070)/(1 - 72/80). Let c = 554/1535 + w. Factor 24/5*y - c*y**3 + 2/5*y**4 + 0 - 16/5*y**2.
2*y*(y - 2)**2*(y + 3)/5
Let w(n) = -26*n**4 + 240*n**2 + 480*n + 496. Let g(c) = -5*c**4 + 48*c**2 + 98*c + 99. Let r(i) = 16*g(i) - 3*w(i). Factor r(h).
-2*(h - 6)*(h + 2)**3
Let v be ((-2)/1)/((-9)/(-2025)*9). Let x be 1/5 + 2/v*5. Factor 1/5*y**2 - 2/5*y + x + 1/5*y**3.
y*(y - 1)*(y + 2)/5
Factor 9/4*j**2 + 75 + 903/4*j.
3*(j + 100)*(3*j + 1)/4
Let w(r) be the second derivative of r**7/84 + 2*r**6/15 + 3*r**5/10 - r**4/12 - 13*r**3/12 - 3*r**2/2 - 3103*r. Factor w(s).
(s - 1)*(s + 1)**3*(s + 6)/2
Let b(q) = 10*q**2 + 1598*q - 1044. Let f(y)