ivative of 34 + 2/3*d**2 + 4/3*d + 1/9*d**3. Factor a(b).
(b + 2)**2/3
Suppose -3*p - h = -156, -3030*p + 3035*p - 264 = -h. Let -1/6*l**2 - p + 6*l = 0. What is l?
18
Let a(b) = b**2 + 17*b + 185. Let x = -46 + 24. Let j(p) be the second derivative of p**3/6 + p**2/2 + 33*p + 3. Let f(i) = x*j(i) - 2*a(i). Factor f(k).
-2*(k + 14)**2
Let w(b) be the first derivative of -9/4*b**4 + 1/3*b**3 + 0*b - 48 - 2*b**5 + 0*b**2. Factor w(c).
-c**2*(c + 1)*(10*c - 1)
Let h(c) be the second derivative of -c**5/300 + c**4/4 - 15*c**3/2 + 21*c**2 - 53*c. Let s(j) be the first derivative of h(j). Determine z so that s(z) = 0.
15
Let w be ((-609)/(-72) - -3) + (-715)/65. Let a(c) be the second derivative of 25/4*c**2 + w*c**4 + 0 + 1/40*c**5 + 35/12*c**3 - 4*c. Let a(l) = 0. Calculate l.
-5, -1
Let y = 41307 + -41303. Let t(s) be the first derivative of -y*s**3 - 1/2*s**2 + 6*s - 16 + 1/2*s**4 + 6/5*s**5 - 1/6*s**6. Factor t(w).
-(w - 6)*(w - 1)**2*(w + 1)**2
Let t(x) = 24*x**3 - 2*x + 0*x - 31*x**3 - 6*x**2. Let q(y) = 2*y**3 + y**2. Let u(a) = -3*q(a) - t(a). Determine c, given that u(c) = 0.
-2, -1, 0
Let s(f) be the first derivative of -2/15*f**2 - 2/45*f**3 + 0*f - 33 + 1/30*f**4. Factor s(z).
2*z*(z - 2)*(z + 1)/15
Let h(v) = v**3 - 7*v**2 + 5*v + 8. Let w be h(6). Let x be 21/12*-2*(9538/(-931) + 10). Factor 4/7*a**w + x - 2*a.
2*(a - 3)*(2*a - 1)/7
Let u(y) = -9*y**3 - 198*y**2 - 1095*y - 1656. Let g(p) = -19*p**3 - 395*p**2 - 2182*p - 3309. Let j(x) = -6*g(x) + 13*u(x). Find b, given that j(b) = 0.
-62, -3
Let 1/4*t**4 - 25/4*t**2 + 0 - 9/2*t**3 + 57/2*t = 0. What is t?
-3, 0, 2, 19
Let o(c) = 2*c**5 + c**4 + 2*c**2 - c + 1. Let w(h) = -22*h**5 + 1616*h**4 - 1146*h**3 - 468*h**2 + 4*h - 4. Let z(n) = 4*o(n) + w(n). Solve z(i) = 0.
-2/7, 0, 1, 115
Let a(c) = -2*c**2 + 8*c - 9. Let n be a(2). Let m(w) = -3*w**3 + 3*w + 2. Let k be m(n). Factor 12/5*l - 13/5*l**k - 4/5 + 6/5*l**3 - 1/5*l**4.
-(l - 2)**2*(l - 1)**2/5
Let r(u) = -u. Let j(a) = a**3 + a**2 - 3*a - 68. Let t(v) = -j(v) + 5*r(v). Let w be t(0). Factor 2*h**4 - 70*h**5 + 4*h**3 - 4*h**2 + 2 + h + w*h**5 - 3*h.
-2*(h - 1)**3*(h + 1)**2
Let m(c) be the third derivative of 0*c**3 + 3/35*c**6 - 11/735*c**7 + 0*c - 8/105*c**5 + 1/1176*c**8 - 16/21*c**4 + 0 + 101*c**2. Find u such that m(u) = 0.
-1, 0, 4
Let s be (-1)/((-2)/6) - (-8 - 1). Suppose -14 - s = -3*t + 4*j, 0 = t - 2*j - 10. Factor -3*x**3 + 3*x**2 - 40*x**4 - 3*x**5 + t*x**3 + 37*x**4.
-3*x**2*(x - 1)*(x + 1)**2
Let d be -4 + -3 + 19*(-395)/(-1045). Factor 0 - d*g**2 + 2/11*g.
-2*g*(g - 1)/11
Let h = 407 + -392. Factor h*t**3 - 4*t**4 + 3*t**4 + 6*t**4 - 20*t**2 - 30*t**2.
5*t**2*(t - 2)*(t + 5)
Factor 126 - 9 + 285*j - 3*j**2 - 41 - 24 + 236.
-3*(j - 96)*(j + 1)
Let g(j) = 10*j**3 - 1152*j**2 + 197*j + 3800. Let y be g(115). Find f such that -4/3*f**y + 4/3*f**4 + 0 - 8/3*f + 4*f**3 - 4/3*f**2 = 0.
-1, 0, 1, 2
Find m such that 0*m - 1/4*m**4 - 36100*m**2 + 190*m**3 + 0 = 0.
0, 380
Let c(d) = -2. Let j = 456 + -455. Let u(g) = 4*g**2 + 52*g - 136. Let x(t) = j*u(t) - 8*c(t). Determine v so that x(v) = 0.
-15, 2
Let q(k) be the third derivative of -k**8/1512 - 13*k**7/945 - 43*k**6/540 - 19*k**5/270 + 11*k**4/27 + 32*k**3/27 - 37*k**2 + 31. What is y in q(y) = 0?
-8, -4, -1, 1
Let o(x) be the first derivative of x**4/14 - 86*x**3/21 + 1080. What is z in o(z) = 0?
0, 43
Let x(y) = 2*y + 38. Let n be x(-8). Let s be 12/n - (-7)/(-33). Determine t, given that -t**3 + 1/3*t**4 + t + 0 - s*t**2 = 0.
-1, 0, 1, 3
Let r be 101/(21109/2850) + (-7 - 5). Determine n, given that -2/11*n**5 + 0 + r*n**3 - 4/11*n**4 + 4/11*n**2 - 16/11*n = 0.
-4, -1, 0, 1, 2
Let v(r) be the third derivative of r**8/504 - 11*r**7/21 + 109*r**6/60 - 163*r**5/90 + 2*r**2 + 41*r - 2. Determine z, given that v(z) = 0.
0, 1, 163
Let r(s) be the second derivative of s**7/14 - 19*s**6/36 + 2*s**5/9 + 89*s**2 - s - 3. Let c(o) be the first derivative of r(o). Factor c(j).
5*j**2*(j - 4)*(9*j - 2)/3
Let m(x) = x**3 - x**2 - x + 2. Let y(b) = -7*b**3 + 76*b**2 + 193*b + 66. Let k(q) = -20*m(q) - 4*y(q). Suppose k(g) = 0. What is g?
-2, -1/2, 38
Let p(h) = -h**3 + 10*h**2 + 13*h - 13. Let f be p(11). What is v in 12*v + 22 + 9*v - 33 - v**3 - f*v**2 = 0?
-11, 1
Let q = -94447/6 + 31499/2. Suppose -q*v**2 + 385/3*v - 50 = 0. Calculate v.
2/5, 15
Let y(g) be the second derivative of 2*g**7/7 - 52*g**6/15 + 73*g**5/5 - 74*g**4/3 + 16*g**3 - 458*g. Let y(q) = 0. What is q?
0, 2/3, 1, 3, 4
Suppose -512 = -2*a + 5*z - 499, 16*a + 5*z = 59. Suppose -2/9*l**3 + 0 - 1/9*l**a + 2/3*l + 5/9*l**2 = 0. Calculate l.
-3, -1, 0, 2
Let p(a) be the second derivative of -a**6/165 - 236*a**5/11 - 348100*a**4/11 - 821516000*a**3/33 - 121173610000*a**2/11 - 1779*a. Find b such that p(b) = 0.
-590
Let b(z) = 4*z - 10. Let w be b(3). Find d such that 38*d - 13*d + 37*d - 18*d - 34 - 6 - 4*d**w = 0.
1, 10
Factor 18 + 456*k - 4*k**3 + 791 + 199 + 39*k**2 + k**3.
-3*(k - 21)*(k + 4)**2
Factor 33800618/17*x**2 - 27079992/17*x + 5418632/17 + 82260/17*x**3 + 50/17*x**4.
2*(x + 823)**2*(5*x - 2)**2/17
Let z(x) = x**4 + x**3 - x**2 + x. Let p(g) = -52*g**3 + 274*g**2 - 2*g. Let j(a) = -p(a) - 2*z(a). Suppose j(d) = 0. Calculate d.
0, 8, 17
Let y = 2023407 + -10117026/5. Factor 1/5*w**4 + 16/5 - y*w**3 + 28/5*w**2 - 36/5*w.
(w - 4)*(w - 2)**2*(w - 1)/5
Suppose 9*l - 85 = -58. Suppose l*a = 3*p + 27, -2 - 3 = p. Factor n**2 + 0 - 1/3*n**a + 2/3*n + 0*n**3.
-n*(n - 2)*(n + 1)**2/3
Let t be ((-62)/32 + 1)/((-128020)/3120 - -41). Factor -135/4 - 3/4*q**3 - t*q - 33/4*q**2.
-3*(q + 3)**2*(q + 5)/4
Let f(m) be the first derivative of 3/16*m**4 + 11/4*m**3 + 15*m**2 + 36*m - 62. Suppose f(y) = 0. Calculate y.
-4, -3
Let j(a) = -409*a + 46629. Let z be j(114). Factor 5/2*k**z + 0 - k**2 + 1/2*k**5 + 0*k - 2*k**4.
k**2*(k - 2)*(k - 1)**2/2
Let q(c) be the third derivative of c**7/42 - 5*c**6/12 + 2*c**5 + 25*c**4/12 - 125*c**3/6 + 20*c**2 - 88*c. Factor q(k).
5*(k - 5)**2*(k - 1)*(k + 1)
Let y(d) = -724*d - 3591. Let t be y(-5). Let k(u) be the third derivative of -t*u**2 + 0 + 0*u - 5*u**3 + 1/4*u**5 + 35/24*u**4. Factor k(l).
5*(l + 3)*(3*l - 2)
Find s, given that -s**4 + s**4 - 1762*s**3 + 1772*s**3 + 2*s**4 = 0.
-5, 0
Let r(t) be the second derivative of -13*t**5/40 - 341*t**4/24 - 82*t**3/3 + 12322*t. Suppose r(l) = 0. Calculate l.
-328/13, -1, 0
Let a be -2*(3 + 425/(-125)). Solve -12*s**2 - 52/5 + a*s**3 + 108/5*s = 0.
1, 13
Suppose 3/2*u**3 + 13*u - 19/2*u**2 + 0 = 0. Calculate u.
0, 2, 13/3
Let l(u) = 12*u - 20*u + 0 - 3 + 12*u. Let t be l(2). Determine d, given that 0*d + 0 - 2/7*d**4 + 8/7*d**3 - 2/7*d**t + 8/7*d**2 = 0.
-2, -1, 0, 2
Let q(z) = 3984*z + 87650. Let t be q(-22). Suppose 112/11*f + 2/11*f**t + 1568/11 = 0. Calculate f.
-28
Let 628873 + 1030*f + 1307*f + 77203 + 1083*f - 121256 + 5*f**2 = 0. Calculate f.
-342
Factor 0*i**2 + 3/8*i**5 - 3/4*i**4 + 0*i + 0 + 3/8*i**3.
3*i**3*(i - 1)**2/8
Suppose -27*w**3 - 7/2*w**4 + 41*w**2 + 1/2*w**5 + 165/2 + 293/2*w = 0. Calculate w.
-5, -1, 3, 11
Let l(h) be the third derivative of 7*h**5/240 + 163*h**4/96 + 23*h**3/12 - 2827*h**2. Factor l(w).
(w + 23)*(7*w + 2)/4
Let r = -408715 + 408719. Find g, given that 13/3*g**3 - 16/3 + 3/2*g**4 - r*g + 1/6*g**5 + 10/3*g**2 = 0.
-4, -2, 1
Let k(b) = -375*b**3 + 2700*b**2 + 2340*b + 458. Let l(g) = -125*g**3 + 900*g**2 + 780*g + 152. Let z(w) = -4*k(w) + 11*l(w). Find n, given that z(n) = 0.
-2/5, 8
Let w(z) be the second derivative of -1/6*z**4 - 8*z**2 + 0 - 2*z**3 - 58*z. Find f, given that w(f) = 0.
-4, -2
Let c = 599 + -359. Suppose 55*y**2 - 30*y**3 + 300*y - 1132*y**4 - 260 - c + 1127*y**4 = 0. Calculate y.
-5, 2
Let a(i) = 4*i**2 + 2*i**2 - 303 - 345*i + 7*i**2 - i**2. Let k(o) = -3*o**2 + 85*o + 76. Let q(s) = 2*a(s) + 9*k(s). Factor q(z).
-3*(z - 26)*(z + 1)
Let g(h) be the second derivative of 2*h**7/21 + 58*h**6/5 + 2519*h**5/5 + 24041*h**4/3 - 6728*h**3 - 195112*h**2 + 926*h. Factor g(c).
4*(c - 2)*(c + 2)*(c + 29)**3
Let k(w) = -9*w**3 + 215*w**2 + 1076*w + 880. Let c(d) = 17*d**3 - 425*d**2 - 2153*d - 1760. Let b(j) = 4*c(j) + 7*k(j). Factor b(g).
5*(g - 44)*(g + 1)*(g + 4)
Let s = -54455/4 - -13620. Let z(n) be the first derivative of 0*n**2 - 10/3*n**3 - 10 + s*n**4 + 0*n. Solve z(m) = 0.
0, 2/5
Su