 the first derivative of r(b). Factor a(k).
2*(k - 3)*(k - 1)**2/13
Let k(w) be the second derivative of -w**7/105 + w**6/30 - w**5/30 + 99*w**2/2 - 115*w. Let h(o) be the first derivative of k(o). Find y such that h(y) = 0.
0, 1
Solve -1/2*y**3 + 304*y**2 + 0 - 46208*y = 0 for y.
0, 304
Let b(a) = a**3 + 13*a**2 - 2*a - 62. Let n be b(-14). Let x = n + 232. Factor 2/7*m + 0 + 2/7*m**3 + 5/7*m**x.
m*(m + 2)*(2*m + 1)/7
Let o(f) = -2*f**5 + 23*f**4 + 165*f**3 + 408*f**2 + 3*f. Let c(v) = -v**5 - 2*v**3 + v**2 + v. Let s(b) = 3*c(b) - o(b). Solve s(d) = 0 for d.
-9, -5, 0
Determine l, given that 6/13*l**2 - 8/13 + 2/13*l = 0.
-4/3, 1
Let h(o) be the first derivative of -2*o**5/25 - 4*o**4/5 + 16*o**3/15 + 96*o**2/5 - 288*o/5 - 334. Factor h(s).
-2*(s - 2)**2*(s + 6)**2/5
Let s(g) be the second derivative of g - 64/9*g**2 + 1/135*g**6 - 1/18*g**5 + 80/27*g**3 - 2/9*g**4 + 11. Factor s(r).
2*(r - 4)**2*(r - 1)*(r + 4)/9
Let u(z) = -5*z + 3. Let n be u(0). Suppose -27*w = -26*w - n. Factor w*g - 4*g + 6*g - 2*g - 3*g**2.
-3*g*(g - 1)
Suppose 0 = 2*y - 6*y. Let x(q) = q**2 - 70*q + 203. Let o be x(3). Factor -40/9*z**3 + 4/9*z + y + 2/3*z**o.
-2*z*(4*z + 1)*(5*z - 2)/9
Solve 87/5*b**3 + 636*b - 3/5*b**4 - 480 - 864/5*b**2 = 0 for b.
1, 8, 10
Let d(h) be the first derivative of 2*h**3/15 - 44*h**2/5 - 384*h/5 - 4337. Factor d(w).
2*(w - 48)*(w + 4)/5
Let a(m) be the first derivative of -2*m**3 + 10*m**2 - 6*m - 280. Let a(b) = 0. Calculate b.
1/3, 3
Let j = -9273 - -9273. Let t(r) be the third derivative of -13*r**2 - 1/4*r**3 - 1/240*r**6 + 0*r + 5/48*r**4 + j - 1/120*r**5. Factor t(h).
-(h - 1)**2*(h + 3)/2
Let t = 15402 + -77008/5. Factor t*j**2 + 8/5 + 8/5*j.
2*(j + 2)**2/5
Let n be 0/((-60)/160*-40). Factor n + 6/11*h**2 - 4/11*h - 2/11*h**3.
-2*h*(h - 2)*(h - 1)/11
Suppose 0*c - 97 = 4*c + d, -5*d = -3*c - 67. Let z be (-24)/c - (1 - 3). Solve 1/5*j**2 + 0 + 2/5*j - 1/5*j**z = 0.
-1, 0, 2
Factor 1518*r - 40878721 + 11433583 - 2*r**2 - 9264*r - 3999*r - 3603*r.
-2*(r + 3837)**2
Let z(j) be the third derivative of j**7/70 + 6*j**6 + 720*j**5 + 145*j**2 - 46. Find i such that z(i) = 0.
-120, 0
Let j be 1 - 164/(-4) - (-1 - 3). What is y in 5*y**4 + j*y**2 - 11*y**3 + 31*y**3 - 26*y**2 = 0?
-2, 0
Let h = -41 + 35. Let q = h - -11. Factor p**3 + 19*p**q - 20*p**5 - 2*p**2 + 2*p**4 + 0*p**4.
-p**2*(p - 2)*(p - 1)*(p + 1)
Let v(p) be the third derivative of -p**5/110 + 3*p**4/44 + 1417*p**2. Factor v(a).
-6*a*(a - 3)/11
Let w(h) = -h**2 - 1. Let x(j) be the first derivative of -3*j**4/4 + 20*j**3/3 - 9*j**2/2 - 2*j + 79. Let m(q) = 3*w(q) + x(q). Factor m(z).
-(z - 5)*(z - 1)*(3*z + 1)
Let l(y) be the first derivative of -y**6/100 + 7*y**5/150 + y**4/10 - 65*y**2 - 191. Let i(a) be the second derivative of l(a). Factor i(d).
-2*d*(d - 3)*(3*d + 2)/5
Let p be 4/30*((-3285)/75)/((-1)/10). Factor -672/5*v - 576/5 - p*v**2 - 56/5*v**3 - 4/5*v**4.
-4*(v + 3)**2*(v + 4)**2/5
Factor -14 + 8*r**3 + 506 - 2968*r + 5685*r + 33*r**2 - 357*r**2 - 2893*r.
4*(r - 41)*(r - 1)*(2*r + 3)
Let y = 86 - 83. Suppose 6*m - 21 = -y. Find a such that 13*a**m - 3*a - 4*a**3 + 3*a**4 - 9*a = 0.
-2, 0, 1
Let j(o) be the second derivative of -o**6/300 + o**5/150 + 3*o**4/20 - 3*o**3/5 - 71*o**2/2 - 67*o. Let y(g) be the first derivative of j(g). Factor y(m).
-2*(m - 3)*(m - 1)*(m + 3)/5
Let r(h) be the first derivative of 4*h**7/63 + 7*h**6/90 - h**5/15 - h**2/2 - 97*h + 19. Let c(j) be the second derivative of r(j). Factor c(p).
4*p**2*(p + 1)*(10*p - 3)/3
Let o = 2770/579 - 280/193. What is p in 16/3*p**4 + 20/3 + 106/3*p + 188/3*p**2 - o*p**5 + 128/3*p**3 = 0?
-1, -2/5, 5
Let o(g) = 5*g**2 - 33*g + 22. Suppose 28*f + 9 + 75 = 0. Let d(j) = -5*j**2 + 32*j - 23. Let b(w) = f*d(w) - 2*o(w). Factor b(v).
5*(v - 5)*(v - 1)
Let x(q) be the third derivative of 1/30*q**5 - 5/2*q**4 + 75*q**3 + 0*q - 3 - 23*q**2. Determine l so that x(l) = 0.
15
Let v(m) = -3*m**2 + 72*m - 91. Let t(k) = 11*k**2 - 209*k + 275. Let f(z) = -2*t(z) - 7*v(z). Factor f(r).
-(r - 1)*(r + 87)
Let p be 2 + -56 - 42255/(-626). Determine i so that -6*i**4 - 2/3*i**3 + 0 + 0*i - p*i**5 + 0*i**2 = 0.
-2/9, 0
Let c = 42 + -58. Let d be 4/c*-4*8. Determine n, given that -2*n + 7*n + 3*n**2 - d*n = 0.
0, 1
Let a = 0 + 4. Suppose -2*k + 3 = -l + 23, a*k - 10 = -3*l. Determine w so that 12*w**4 + 72*w**3 + 48*w**2 + l*w**4 - 8*w + 6*w**4 - 12 = 0.
-1, 3/7
Let l = -2236/5 - -15662/35. Let b(a) be the second derivative of 33*a - 2/3*a**3 + 2/3*a**6 - 2/5*a**5 + 0 - 2*a**4 + l*a**7 + 2*a**2. Factor b(y).
4*(y - 1)*(y + 1)**3*(3*y - 1)
Suppose -28 = 57*m - 64*m. Determine d, given that d**5 - 113 + 145 + 16*d**m - 124*d + 3*d**5 + 176*d**2 - 104*d**3 = 0.
-8, 1
Let g(q) = q**3 - 2*q**2 + q + 3. Let h(o) = -1545*o**2 + 4294*o - 3064. Let p(d) = -50*g(d) - 2*h(d). Determine j, given that p(j) = 0.
7/5, 61
Let l(m) be the second derivative of m**4/42 - 59*m**3/21 + 114*m**2/7 + 12020*m. Factor l(s).
2*(s - 57)*(s - 2)/7
Let c(y) be the third derivative of y**5/90 + 121*y**4/9 + 58564*y**3/9 - 2*y**2 + 171*y + 1. Factor c(n).
2*(n + 242)**2/3
Suppose -5*o + 33 = -3*q, -6*o + 2*q = -7*o - 9. Let v(k) be the second derivative of 1/6*k**4 + 6*k + 10/3*k**o + 25*k**2 + 0. Factor v(t).
2*(t + 5)**2
Let a = -149638 - -149638. Suppose -3/4*g**3 + a*g**2 + 21/4*g + 9/2 = 0. Calculate g.
-2, -1, 3
Let o(n) be the first derivative of n**5/35 - n**4/7 - n**3 - 2*n**2/7 + 4*n + 1944. Let o(p) = 0. Calculate p.
-2, 1, 7
Let g(s) = -2*s**2 - 13*s - 2. Let x(u) = -140*u**2 + 7320*u - 820245. Let f(d) = -60*g(d) + x(d). Factor f(m).
-5*(2*m - 405)**2
Suppose -b + 1694 = 2*n, -14*b - 2*n - 3376 = -16*b. Let h = b + -1688. Factor 9/2*c**3 - 21/2*c - 3*c**h - 3.
3*(c - 2)*(c + 1)*(3*c + 1)/2
Suppose -2*h = -2*s - 6, -h = -76*s + 80*s - 3. Suppose 25*y**2 - 26*y**2 - 4*y**h + 17*y**2 - 64 + 16*y = 0. What is y?
-2, 2, 4
Suppose -c + 300 = 4*c. Suppose 3*p - 5*j = 9, -5 = -p + j - 2. Solve 0*x**3 + 80 - c*x - 4*x**p + 9*x**3 = 0.
-4, 2
Factor -l**4 - 527*l + 207*l - 1352 - 202*l**3 - 21*l**2 + 222*l**3 - 486*l.
-(l - 13)**2*(l + 2)*(l + 4)
Suppose -93*r + 53*r + 280 = 0. Let v be 3 + -18 + r + 16. Find u such that 50*u**3 - v*u - 50/3*u**4 + 8/3*u**2 + 0 = 0.
-2/5, 0, 2/5, 3
Let o be (0/(-6))/3 - -5. Let x = -9 - -19/2. Factor x*j**2 - 3/8*j + 1/4*j**3 - 1/2*j**4 + 1/8*j**o + 0.
j*(j - 3)*(j - 1)**2*(j + 1)/8
Determine o so that -1/3*o**3 + 0*o + 0 - 224/3*o**2 = 0.
-224, 0
Let z(s) be the first derivative of -s**5 + 65*s**4/2 - 700*s**3/3 - 980*s**2 + 550. Find v such that z(v) = 0.
-2, 0, 14
Let i = -762082 - -3810438/5. Find n such that -88/5*n + 32/5 - i*n**2 + 12/5*n**3 = 0.
-2, 1/3, 4
Let p = 401389 + -3612499/9. Factor 46/9*h + 44/9 + p*h**2.
2*(h + 1)*(h + 22)/9
Let b(s) be the first derivative of 2*s**3/27 + 41*s**2/9 - 376. Factor b(z).
2*z*(z + 41)/9
Let x be 0 + (-851)/(-46) + -20 + (1 - -3). Factor -1/2 + 13/2*h**2 - x*h - 7/2*h**3.
-(h - 1)**2*(7*h + 1)/2
Let r = -6110 - -6118. Let x(k) be the third derivative of r*k**2 - 1/60*k**6 - 1/5*k**5 + 0*k + 0 + 0*k**3 + 0*k**4. Factor x(l).
-2*l**2*(l + 6)
Let h = 238281/69517 + 9/9931. Factor 0 + h*t**2 + 0*t + 2/7*t**3 - 2/7*t**4.
-2*t**2*(t - 4)*(t + 3)/7
Let a(h) be the first derivative of 0*h - 9/2*h**2 - 1/3*h**3 + 24. Let a(u) = 0. Calculate u.
-9, 0
Factor -p**5 + 15*p**2 + 4*p**4 - 155*p**3 - 159*p**3 - 21*p**2 + 313*p**3.
-p**2*(p - 3)*(p - 2)*(p + 1)
Let g(w) be the third derivative of -w**6/30 + 23*w**5/5 + 289*w**4/6 + 146*w**3 + 1673*w**2. Factor g(h).
-4*(h - 73)*(h + 1)*(h + 3)
Let h = -16904 + 51145/3. Let n = 147 - h. Let n + 20/3*u - 4*u**2 = 0. What is u?
-1/3, 2
Let o(f) = -2*f**2. Let g(y) = -13*y**2 + 6*y - 1. Let b(j) = -g(j) + 4*o(j). Let a(c) = -c**2 + 2*c - 1. Let t(v) = 2*a(v) + b(v). Let t(s) = 0. What is s?
-1/3, 1
Suppose z = -3 + 15. Let x(g) = -g**3 + 15*g**2 - 27*g + 16. Let u be x(13). Solve -5*j - 11*j**2 - z*j + 2*j - j**u - 9*j + 36 = 0 for j.
-6, 1
Let i(a) be the second derivative of -a**4/36 + 188*a**3/9 - 374*a**2/3 - 4579*a - 2. Let i(x) = 0. Calculate x.
2, 374
Let s(c) be the second derivative of c**8/15680 + c**7/1470 - c**6/140 - 35*c**4/12 + 28*c. Let o(j) be the third derivative of s(j). Factor o(x).
3*x*(x - 2)*(x + 6)/7
Let y(t) be th