) be the third derivative of g**8/33600 - g**7/2800 + 5*g**5/3 + 6*g**2. Let x(j) be the third derivative of b(j). What is i in x(i) = 0?
0, 3
Factor -1395 + 3/2*a**3 - 123*a**2 - 3039/2*a.
3*(a - 93)*(a + 1)*(a + 10)/2
Let y(w) be the first derivative of 66 - 143/7*w**2 - 1/14*w**4 - 46/21*w**3 - 242/7*w. Find m such that y(m) = 0.
-11, -1
Let f(v) be the third derivative of -77*v**2 + 0 + 0*v**3 - 1/15*v**5 + 2/3*v**4 + 0*v. Suppose f(p) = 0. What is p?
0, 4
Let h(j) be the first derivative of j**5/10 - 25*j**4/8 + 67*j**3/3 + 40*j**2 - 4142. Find o, given that h(o) = 0.
-1, 0, 10, 16
Let a(o) be the third derivative of 0*o + 0*o**5 - 8*o**3 - 8 + 1/30*o**6 - 13/6*o**4 - 9*o**2. Factor a(x).
4*(x - 4)*(x + 1)*(x + 3)
Find l such that 4/7*l**3 - 4044/7 - 8084/7*l - 4036/7*l**2 = 0.
-1, 1011
Let j(w) be the first derivative of -w**3/30 - 191*w**2/10 - 381*w/10 - 252. Find r, given that j(r) = 0.
-381, -1
Let l(w) be the first derivative of w**6/180 - w**5/30 - w**4/36 + w**3/3 + 37*w**2/2 + 45. Let z(x) be the second derivative of l(x). What is n in z(n) = 0?
-1, 1, 3
Let h = -937140/7 - -133878. Let w(c) = c**2 + 7*c + 2. Let b be w(-7). Factor -3/7*p**3 + 0 - h*p - 9/7*p**b.
-3*p*(p + 1)*(p + 2)/7
Let b(d) = d**2 + d + 1. Let w(p) = p**2 + 1511*p + 285767. Let h(k) = -2*b(k) - 2*w(k). Solve h(s) = 0 for s.
-378
Let w(g) = 36*g - 6. Let d be w(0). Let m(a) = a**4 - 6*a**3 - 3*a**2 + 7*a + 3. Let o(i) = -i**3 - i**2 + i + 1. Let h(t) = d*o(t) + 2*m(t). Factor h(s).
2*s*(s - 2)**2*(s + 1)
Find y such that -1/10*y**2 - 131/10 - 66/5*y = 0.
-131, -1
Let q(d) = -d**2 + 852*d + 85815. Let c be q(-91). Determine u, given that -16/11*u + 0 + c*u**4 + 72/11*u**2 + 84/11*u**3 = 0.
-2, 0, 2/11
Let g = 113/92 - 45/46. Suppose -10*b + 12*b = 0. Find x, given that b - g*x + x**2 - 3/4*x**3 = 0.
0, 1/3, 1
Suppose 544/3*f + 422/3*f**2 - 1/3*f**5 + 107/3*f**3 + 224/3 + 4/3*f**4 = 0. What is f?
-4, -1, 14
Let x(r) be the second derivative of 5*r**4/12 - 25*r**3 + 500*r**2 - 744*r. Determine c so that x(c) = 0.
10, 20
Suppose 23384/7*c + 1/7*c**3 - 124820/7 + 311/7*c**2 = 0. Calculate c.
-158, 5
Let o be (153/15)/(19/(82080/243)). Determine a, given that 152/3*a**2 - 128/3 - 3*a**4 + o*a - 34/3*a**3 = 0.
-4, 2/9, 4
Let v(b) be the second derivative of -50*b - 3/2*b**2 + 0 + 17/8*b**4 - 15/4*b**3. Determine l, given that v(l) = 0.
-2/17, 1
Let i(l) be the first derivative of -7*l**4/10 + 11*l**3/5 + 18*l**2 + 5*l - 3505. Find u such that i(u) = 0.
-5/2, -1/7, 5
Let l(s) be the second derivative of 5/3*s**3 + 3/4*s**4 + 3/2*s**2 - 2*s + 1/10*s**5 - 28. Let l(a) = 0. What is a?
-3, -1, -1/2
Suppose -3495*b = 1037*b - 18128. Let 334/7*r**3 - 32/7*r**5 - 16/7*r**b - 418/7*r**2 - 16/7 + 148/7*r = 0. What is r?
-4, 1/4, 1, 2
Let u(t) = 25*t**3 - 2371*t**2 - 1925*t - 378. Let n(a) = -25*a**3 + 2368*a**2 + 1928*a + 376. Let g(r) = 3*n(r) + 4*u(r). Find w, given that g(w) = 0.
-2/5, 96
Suppose 3*k + 8 + 1 = 0. Let b be 0/((-2)/(-2)) - k. Determine r so that 2*r + 0*r**5 + b*r**5 + 3*r**2 - 1973*r**3 + r**4 + 1964*r**3 = 0.
-2, -1/3, 0, 1
Let y be (-15 - -3) + 7 + 5. Factor y - 2/3*s**4 + 8/3*s**2 + 0*s**3 + 0*s.
-2*s**2*(s - 2)*(s + 2)/3
Let h be 2 - ((1 - (1 - -3)) + 2). Let 20*r + 0*r**4 - 33*r**2 - 3*r**4 - 18*r**h - 38*r = 0. Calculate r.
-3, -2, -1, 0
Let w(t) = -11*t**2 + 80*t - 565. Let b(h) = 42*h**2 - 321*h + 2259. Let j(r) = -4*b(r) - 15*w(r). Factor j(a).
-3*(a - 17)*(a - 11)
Factor -39/4*u - 3/4*u**3 + 45/2 - 12*u**2.
-3*(u - 1)*(u + 2)*(u + 15)/4
Suppose -4*m = -0*m + 376. Let b = m + 96. Solve -2*h**4 - 8*h**3 - 6*h**b + 4*h**5 - 6*h**4 + 18*h**4 = 0 for h.
-3, -1/2, 0, 1
Let l(d) be the first derivative of 8*d + 2/3*d**3 - 1/5*d**5 + 71 + 3/4*d**4 - 6*d**2. Factor l(q).
-(q - 2)**2*(q - 1)*(q + 2)
Let f(p) be the third derivative of p**5/210 - 4*p**4/21 + 20*p**3/7 + 64*p**2. Suppose f(b) = 0. Calculate b.
6, 10
Let m be ((-16)/(-4) + 941)/(-2). Let c = m + 495. Suppose -3*u**2 - 2*u + c*u**3 + 0 - 81/4*u**4 = 0. Calculate u.
-2/9, 0, 2/3
Determine t so that -33*t**3 + 338*t + 14*t**3 - 168 - 172*t**2 + 21*t**3 = 0.
1, 84
Let w be (9 + (-184)/20)/(((-9)/60)/(54/45)). Suppose 28/5*l**2 + w*l**3 - 16*l + 48/5 - 4/5*l**4 = 0. Calculate l.
-3, 1, 2
Let r(h) be the third derivative of h**7/5040 - 23*h**6/720 + 529*h**5/240 - 43*h**4/8 - h**2 + 5. Let c(i) be the second derivative of r(i). Factor c(q).
(q - 23)**2/2
Let f(b) be the second derivative of b**6/6 + 45*b**5/4 - 115*b**4/6 - 8*b + 16. Factor f(i).
5*i**2*(i - 1)*(i + 46)
Solve 5*i**5 - 3*i**5 - 140*i**2 - 13*i**4 - 10*i**4 - 80*i - 40*i**3 + 13*i**5 + 58*i**4 = 0 for i.
-2, -4/3, -1, 0, 2
Suppose -84*g = 88*g. Let f(m) be the second derivative of -1/315*m**7 + 2/225*m**6 + g - 1/45*m**4 - 27*m + 1/45*m**3 + 0*m**5 + 0*m**2. Factor f(u).
-2*u*(u - 1)**3*(u + 1)/15
Let f = 34872/261515 - 2/156909. Factor f*k**2 - 2/3*k + 0.
2*k*(k - 5)/15
Let f(b) be the second derivative of 20*b - 4 + 0*b**2 + 325/12*b**4 - 1/168*b**7 + 13/30*b**6 - 625/24*b**3 - 363/40*b**5. Factor f(p).
-p*(p - 25)**2*(p - 1)**2/4
Let i = 686/33 + -214/11. Let h(q) be the first derivative of -2*q**2 + 0*q + 16 - i*q**3. Determine a so that h(a) = 0.
-1, 0
Let j(x) be the first derivative of x**6/1800 + x**5/300 - x**4/8 + 127*x**3/3 - 78. Let a(i) be the third derivative of j(i). Factor a(y).
(y - 3)*(y + 5)/5
Let b(p) be the second derivative of -9*p**2 + 1/50*p**5 - 23*p - 11/30*p**4 + 0 + 13/5*p**3. Factor b(g).
2*(g - 5)*(g - 3)**2/5
Let u = 148 - 146. Suppose -u*c + 2 = 2*q, 8 = 3*q - c - 3. Suppose 1/4*m - 13/4*m**q - 9/4*m**2 + 1/2 - 5/4*m**4 = 0. Calculate m.
-1, 2/5
Let d(q) be the second derivative of q**6/75 + 183*q**5/200 + 801*q**4/40 + 2331*q**3/20 + 3969*q**2/20 - 3028*q. Determine h so that d(h) = 0.
-21, -3, -3/4
Let j(z) be the first derivative of 8/15*z**5 + 0*z**3 + 0*z + 2/9*z**6 + 0*z**2 + 40 - z**4. Factor j(s).
4*s**3*(s - 1)*(s + 3)/3
Let d be ((-6)/4)/((-234)/(-39))*(-2 - 6). Let k be (-60)/(-16)*66/5. Solve 33/2*t - 6*t**4 + 39/2*t**3 - 15/2 + k*t**d = 0 for t.
-1, 1/4, 5
Let d be -2*1/(-4)*10/(-1). Let t(l) = -l**4 - l**2 - l + 1. Let u(s) = -9*s**4 + 20*s**3 - 33*s**2 + 7*s + 5. Let b(f) = d*t(f) + u(f). Factor b(r).
-4*r*(r - 3)*(r - 1)**2
Let a be (-55)/(-66) + 666/4. Let g = a + -167. Determine z, given that -14/3*z**3 - 3*z - g*z**5 + 2*z**4 + 2/3 + 16/3*z**2 = 0.
1, 2
Let k(t) be the third derivative of t**5/180 + 76*t**4/9 + 46208*t**3/9 - 15*t**2. Solve k(c) = 0 for c.
-304
Let k = -6 - 5. Let c(m) = m**3 + 12*m**2 + 11*m + 4. Let w be c(k). Solve 16*i**3 - 16*i**2 + 21 - 21 + 4*i**4 - w*i**3 = 0.
-4, 0, 1
Let y be (6/(-3) - -11)*4/60*5. Let s(m) be the first derivative of -7 - 2/5*m**5 + 0*m + 2/3*m**y + 1/2*m**4 - m**2. Factor s(g).
-2*g*(g - 1)**2*(g + 1)
Let z(l) be the third derivative of l**5/60 - 2797*l**4/12 + 7823209*l**3/6 + 4793*l**2. Find r such that z(r) = 0.
2797
Suppose -25*h + 19*h + 72 = 0. Factor 148*s**2 - 3 + 3 + 3*s**3 - 163*s**2 + h*s.
3*s*(s - 4)*(s - 1)
Factor 4/7*z**3 - 148/7*z - 94/7*z**2 - 50/7.
2*(z - 25)*(z + 1)*(2*z + 1)/7
Let b(x) be the first derivative of -2*x**3/15 + 19*x**2/5 - 36*x + 2321. Factor b(t).
-2*(t - 10)*(t - 9)/5
Let c(q) = -q**3 - 42*q**2 - 337*q + 124. Let l be c(-31). Factor l*g + 2/3*g**2 - 2/3.
2*(g - 1)*(g + 1)/3
Let n(c) be the first derivative of 3/7*c**2 - 3/7*c - 1/7*c**3 - 39. Factor n(l).
-3*(l - 1)**2/7
Suppose -10*w + 441 = 161. Factor -44 - 10*d**2 - 13*d + w - 31*d.
-2*(d + 4)*(5*d + 2)
Suppose -59 + 61 = x. Determine b, given that -66*b - 224 - 622*b + 254*b**2 - 582*b**x - 20*b**3 = 0.
-14, -2, -2/5
Factor -16/3 - 2/3*o + 1/6*o**2.
(o - 8)*(o + 4)/6
Factor -2049/8*w + 3/8*w**2 + 1023/4.
3*(w - 682)*(w - 1)/8
Let l(a) be the first derivative of -33*a**5 + 475*a**4/4 - 145*a**3 + 105*a**2/2 + 20*a - 8586. Determine x so that l(x) = 0.
-4/33, 1
Let y(p) be the second derivative of 3*p**5/140 + 195*p**4/28 + 383*p**3/14 - 1737*p**2/14 - 570*p - 9. Suppose y(z) = 0. What is z?
-193, -3, 1
Let h be (0 + 0)/(-6 + 8 - 3). Factor -2*s + 48 - 13*s - 4*s**2 + h*s**2 - s.
-4*(s - 2)*(s + 6)
Suppose 66 - 458 = 7*b. Let k be ((-42)/b)/(3 + (-6)/4). Let -1/2*v**2 - v - k = 0. Calculate v.
-1
Suppose -46*c + 39*c + 7175 = 0. Let q = c + -1021. S