actor u(h).
-3*(h + 2)*(h + 95)
Let h(d) = d**4 + 5*d**3 + 10*d**2 - 8*d. Let q(o) = o**4 + 9*o**3 + 8*o**2 - 10*o. Let r(w) = 5*h(w) - 4*q(w). Find s, given that r(s) = 0.
0, 2, 9
Let w(r) be the second derivative of -152*r - 3/20*r**5 + 0 - r**4 - 9*r**2 + 11/2*r**3. Factor w(o).
-3*(o - 1)**2*(o + 6)
Factor 304/3 - 4/9*q**3 + 16/9*q - 76/3*q**2.
-4*(q - 2)*(q + 2)*(q + 57)/9
Let f(v) be the second derivative of 3/10*v**5 + 12*v + 1 - 1/3*v**4 - 2*v**2 - 7/3*v**3. Factor f(g).
2*(g - 2)*(g + 1)*(3*g + 1)
Let p = 254822 - 254822. Determine c so that -2/3*c**2 - 26/3*c + p = 0.
-13, 0
Let a(w) be the first derivative of 3*w**5/20 - w**4 - 127*w + 75. Let c(l) be the first derivative of a(l). Find q such that c(q) = 0.
0, 4
Let o = 360 + -343. Suppose 3*d = -4*w + 2*d + o, 5*w - 3*d = 0. Factor -1/3*s**4 - 2/3*s**w + 0 + 0*s + s**2.
-s**2*(s - 1)*(s + 3)/3
Let r(y) be the second derivative of 3*y**5/70 - 67*y**4/42 + 85*y**3/21 - 3*y**2 + 2*y - 228. Find w, given that r(w) = 0.
1/3, 1, 21
Suppose 53*g - 20*g - 201 = -34*g. Factor 1/8*l**g + 15/8*l - 7/8*l**2 - 9/8.
(l - 3)**2*(l - 1)/8
Let h(m) = 37*m**2 - 2*m - 2. Let t(p) = 35*p**2 + 554*p + 556. Let u(j) = -2*h(j) + 2*t(j). Suppose u(z) = 0. Calculate z.
-1, 279
Let a(v) = 10*v**2 - 10175*v + 10270. Let f(b) = b**2 - 848*b + 856. Let s(c) = 3*a(c) - 35*f(c). Solve s(g) = 0.
-170, 1
Let l = 433 + -431. Factor -342*z**3 + 0*z**l + z**4 + 6*z**2 - 32*z + 349*z**3 - 18 - 14.
(z - 2)*(z + 1)*(z + 4)**2
Let z(w) be the first derivative of 7/3*w**3 + 3/230*w**5 + 1/4140*w**6 + 0*w**2 + 0*w + 27/92*w**4 + 24. Let q(x) be the third derivative of z(x). Factor q(t).
2*(t + 9)**2/23
Suppose -29 = 3*t - 41. Suppose 4*b = 2757 + 603. What is f in 96*f**5 - 222*f**5 - 161*f**3 - 80*f - b*f**t - 279*f**3 + 480*f**2 - 119*f**5 = 0?
-2, 0, 2/7
Factor 11*c**2 + 45*c + 4*c**2 - 28 + 3*c**2 - 9*c**3 + 3*c**2 - 28*c**2 - c**4.
-(c - 1)**2*(c + 4)*(c + 7)
Let d(b) be the first derivative of -4*b**3/3 - 2956*b**2 - 2184484*b + 2922. Factor d(u).
-4*(u + 739)**2
Let z(a) be the first derivative of -15*a**3 + 91 + 0*a + 3/8*a**4 + 87/4*a**2. Solve z(x) = 0.
0, 1, 29
Let q be (-6)/9 + 12/18. Let a = 7390 + -66508/9. Determine y, given that 18*y**5 + 8/3*y**2 + 24*y**4 + 12*y**3 + q + a*y = 0.
-1/3, 0
Let l(i) be the second derivative of i**6/6 + 17*i**5/2 - 465*i**4/4 + 860*i**3/3 + 1640*i**2 + 1544*i. Factor l(a).
5*(a - 4)**2*(a + 1)*(a + 41)
Let q(y) be the first derivative of -2*y**5/5 + 11*y**4/2 + 52*y**3/3 + 1038. Factor q(m).
-2*m**2*(m - 13)*(m + 2)
Let z(p) be the first derivative of 7*p**3 - 237*p**2/2 + 66*p + 1931. Factor z(u).
3*(u - 11)*(7*u - 2)
Let t(w) = -w**2 + 20*w - 49. Let v be t(17). Suppose -5*g + v*m + 73 = 54, -3*g + 2*m = -13. Let 2/5*b**g + 32/5*b - 24/5 - 14/5*b**2 = 0. What is b?
2, 3
Let b(r) be the third derivative of -r**6/40 - 2*r**5/5 - 9*r**4/8 + 9*r**3 - 21*r**2 - 40. Factor b(d).
-3*(d - 1)*(d + 3)*(d + 6)
Let y(g) be the third derivative of -5/3*g**3 + 77*g**2 + 1/300*g**6 + 7/12*g**4 + 0 + 0*g - 11/150*g**5. Let y(t) = 0. Calculate t.
1, 5
Let k(p) be the third derivative of p**7/1365 - 53*p**6/52 + 528*p**5/65 - 791*p**4/39 - 3972*p**2 + p. Factor k(a).
2*a*(a - 791)*(a - 2)**2/13
Let t(k) be the first derivative of 0*k**2 + 9 + 0*k - 2/15*k**4 + 2/75*k**5 + 0*k**3. Factor t(a).
2*a**3*(a - 4)/15
Let o(f) be the first derivative of 2/27*f**3 + 10/9*f + 2/3*f**2 - 17. What is u in o(u) = 0?
-5, -1
Let c(u) be the second derivative of 0 - 26/21*u**3 + 338/7*u**2 + 1/84*u**4 - 5*u. Let c(v) = 0. What is v?
26
Let u(w) be the third derivative of 29/70*w**7 + 0*w + 7/5*w**5 - 74*w**2 + 0 - 113/80*w**6 - 1/224*w**8 + 0*w**3 + 0*w**4. Factor u(g).
-3*g**2*(g - 56)*(g - 1)**2/2
Solve -6/11*d**2 - 505/11*d - 84/11 = 0.
-84, -1/6
Let -3/7*t + 2/7 + 1/7*t**2 = 0. Calculate t.
1, 2
Let u(t) be the first derivative of -2*t**5/25 + 54*t**4/5 - 7592*t**3/15 + 9504*t**2 - 77440*t - 7981. Find p such that u(p) = 0.
10, 44
Factor -54*m**2 - 379 - 35*m + 5*m**3 - 21*m**2 + 179 + 305*m.
5*(m - 10)*(m - 4)*(m - 1)
Let l(j) = -35*j + 153. Let o be l(3). Let m be ((o/(-30))/(-2))/1. Let -4/5 - m*s**2 + 8/5*s = 0. What is s?
1
Suppose 5*u - 27 + 7 = 0. Suppose u = -2*k + 98. Factor -q**2 + 0*q**2 - 49*q + q**3 + k*q.
q*(q - 2)*(q + 1)
Let f(u) be the third derivative of u**5/150 - 2*u**4/15 - 28*u**3/5 - 3*u**2 - 140*u. Solve f(y) = 0.
-6, 14
Factor 1043 - 96*j + 945 - 3*j**2 - 2081.
-3*(j + 1)*(j + 31)
Let 2645/4*t**4 - 25/2*t + 2305/4*t**2 + 0 - 6670*t**3 = 0. What is t?
0, 1/23, 10
Let n(a) be the second derivative of -1/12*a**4 - 2*a - 17/2*a**2 + 3*a**3 + 5. Factor n(g).
-(g - 17)*(g - 1)
Suppose 0 = 53*g - 49*g + v - 173, -4*g + 32*v + 800 = 0. Determine y, given that -4/3*y**4 + 8/3*y**3 - 16*y + 44/3*y**2 - g = 0.
-2, 3
Let k be -16*(-1*(-3 - -10) + 4). Let n = 25 - 23. Factor 1029*m**5 + 0*m - 36*m**n - k*m**3 - 1032*m**5 + 0*m - 21*m**4.
-3*m**2*(m + 2)**2*(m + 3)
Let s(h) be the first derivative of -6*h**4 + 20*h - 16/3*h**3 - 93 + 12*h**2 - 4/5*h**5. Factor s(u).
-4*(u - 1)*(u + 1)**2*(u + 5)
Let c(q) = q**2 + 6*q - 5. Let z be c(-7). Let h(t) = -46*t + 230. Let w be h(5). Determine f so that f + w + 1/2*f**z = 0.
-2, 0
Let x be ((-41)/(9184/(-252)))/(3/(-8) + 1). Suppose 0*q + x*q**3 + 0 + 3/5*q**4 - 6*q**2 = 0. Calculate q.
-5, 0, 2
Let z(b) be the second derivative of b**6/210 - b**5/10 + 59*b**4/84 - 5*b**3/3 + 919*b. Solve z(f) = 0.
0, 2, 5, 7
Let v(w) be the second derivative of -w**4/8 + 409*w**3/4 - 1827*w**2/2 + 2*w - 9107. Factor v(x).
-3*(x - 406)*(x - 3)/2
Factor -1056 + 271*g**2 - 1008 - 1022 + 3031 - 5*g**3 + 221*g.
-(g - 55)*(g + 1)*(5*g - 1)
Suppose 84100/9 - 10*s**5 - 213640/9*s**3 - 2912/3*s**4 + 213730/9*s - 75364/9*s**2 = 0. Calculate s.
-145/3, -1, -2/5, 1
Factor 4611*n**4 - 24*n**2 + 92*n**3 - 26*n - 6*n - 4647*n**4.
-4*n*(n - 2)*(n - 1)*(9*n + 4)
Suppose 0 = -2*i - 5*w + 71, 5*i + 2*w - 196 + 50 = 0. Factor i - 120*l + 59*l**2 - 928 - 63*l**2.
-4*(l + 15)**2
Let w be (-8 - -7)*(2 + 3*23). Let y = w - -77. Solve y - 3*l**2 + 9*l + 1 - 7 = 0 for l.
0, 3
Let d(y) = -y**2 - 6*y + 1. Let l be d(-5). Suppose 2*v = -12, -5*m = -5*v + 38 - 83. Factor c - 5*c**2 + 6*c**2 - l*c**2 + m*c + 1.
-(c - 1)*(5*c + 1)
Let d(g) be the third derivative of -g**7/420 + g**6/240 + 7*g**5/120 - 13*g**4/48 + g**3/2 - 612*g**2. Factor d(q).
-(q - 2)*(q - 1)**2*(q + 3)/2
Let m = -245 - -251. Solve -18*t - 5 - 19 - 9*t**2 + m*t**2 = 0.
-4, -2
Let w be 7 - (26 + -18 - (0 + 8)) - 85/25. Factor 6/5*v + 2/5*v**3 - w + 2*v**2.
2*(v - 1)*(v + 3)**2/5
Let f be (-78)/9*1856/(-1508). Suppose -1316/3*k**3 + f + 1000/3*k**2 + 196*k**4 - 304/3*k = 0. Calculate k.
2/7, 2/3, 1
Let p be -6 - 62/(1860/(-270)). Factor -5/6*f**2 + 3/2*f**p + 0*f - 1/2*f**4 + 0 - 1/6*f**5.
-f**2*(f - 1)**2*(f + 5)/6
Let c(u) = -3*u**3 + 3*u**2 + 9*u - 3. Let g(j) = j**4 - j**3 - j**2 - j. Let f = -145 + 146. Let r = -4 - -7. Let v(a) = f*c(a) + r*g(a). Factor v(p).
3*(p - 1)**3*(p + 1)
Let l(p) be the first derivative of 3*p**5/5 - 33*p**4/2 - 109*p**3 + 195*p**2 + 1229. Find c, given that l(c) = 0.
-5, 0, 1, 26
Let x(i) be the second derivative of -i**5/20 - 5*i**4 + 42*i**3 - 128*i**2 + 362*i. What is g in x(g) = 0?
-64, 2
Let f = 194652 - 194652. Suppose -3/8*g**5 + 0 + f*g**2 + 1/2*g**4 + 0*g - 1/8*g**3 = 0. Calculate g.
0, 1/3, 1
Suppose -884*o + 208*o = -377*o. Determine a so that -8/5*a + o + 0*a**3 - 12/5*a**2 + 4/5*a**4 = 0.
-1, 0, 2
Let b(v) = -8*v**4 + 154*v**3 + 191*v**2 + 65*v - 9. Let n(j) = 2*j**4 + j**2 - j + 1. Let z(g) = 2*b(g) + 18*n(g). Factor z(c).
4*c*(c + 1)*(c + 14)*(5*c + 2)
Factor 42*b - 42*b + 3796*b**4 + 520*b**3 + 13520*b**2 - 3791*b**4.
5*b**2*(b + 52)**2
Let l be -18*((-44)/60 - (-2)/5). Let g be l/21 + (-4)/14 + 2. Factor 4/5*o**g + 2/5*o - 4/5 - 2/5*o**3.
-2*(o - 2)*(o - 1)*(o + 1)/5
Let d(g) be the third derivative of -49*g**5/360 - 163*g**4/24 + 10*g**3/9 + 8285*g**2. Factor d(n).
-(n + 20)*(49*n - 2)/6
Let o(n) be the first derivative of -n**3/4 + 435*n**2/4 - 63075*n/4 + 1257. Factor o(k).
-3*(k - 145)**2/4
Let q be 1*-6 + -15 + 44/(-660)*(-323 + 2). Suppose 8/5 - q*b**3 + 14/5*b + 4/5*b**2 = 0. What is b?
-1, 4
Suppose 0 = 405*g - 400*g - 20. Let m(h) = -h**2 + 6*h - 3. Let p be m(5). Le