184. Let p(y) = 0. What is y?
-3, 2
Let m(b) be the second derivative of b**5/210 + 31*b**4/84 + 10*b**3/7 - 67*b**2 + 203*b. Let d(t) be the first derivative of m(t). Factor d(i).
2*(i + 1)*(i + 30)/7
Let w(c) be the second derivative of -c**7/4 + 457*c**6/40 - 5739*c**5/80 + 661*c**4/4 - 281*c**3/2 + 42*c**2 + 3928*c. Suppose w(d) = 0. What is d?
1/7, 1/2, 2, 28
Let l(b) be the first derivative of 5/3*b**2 - 3/4*b**4 - b**3 + 8/3*b + 13. Determine j, given that l(j) = 0.
-4/3, -2/3, 1
Let x = 19/1746 + 1309/40158. Let o(w) be the third derivative of 11/69*w**4 + x*w**5 + 0 + 1/2415*w**7 + 3/460*w**6 + 8/23*w**3 + 2*w + 3*w**2. Factor o(a).
2*(a + 2)**3*(a + 3)/23
Let f(p) be the third derivative of -1/40*p**6 + 0 + 5/8*p**4 - 3/2*p**3 - 1/20*p**5 + 59*p**2 + 0*p. Factor f(i).
-3*(i - 1)**2*(i + 3)
Let c(h) be the first derivative of 4*h + 5/3*h**3 - 49 + 1/8*h**4 + 17/4*h**2. Factor c(d).
(d + 1)**2*(d + 8)/2
Factor 7/4*f**3 - 127*f + 61/4*f**2 + 35.
(f - 5)*(f + 14)*(7*f - 2)/4
Let k(p) be the second derivative of -5*p**7/42 + 23*p**6/6 - 141*p**5/4 + 1085*p**4/12 - 245*p**3/3 + 206*p. Solve k(r) = 0.
0, 1, 7, 14
Let p = -159272 - -796362/5. Solve -1/5*k**4 + 2/5*k - p*k**3 + 0 + 1/5*k**2 = 0 for k.
-2, -1, 0, 1
Let a(l) be the first derivative of 3*l**4/32 - l**3/4 - 285*l**2/16 - 225*l/2 - 8819. Suppose a(g) = 0. Calculate g.
-5, 12
Suppose 5*l = 13 - 3. Let d be ((-6)/39)/2 + (-12)/(-156). Let 2/9*t**l - 1/9*t**3 + 0 + d*t = 0. What is t?
0, 2
Let r(y) = -3*y**2 + 28*y - 2. Let l be r(7). Factor -126*g**2 + l*g - 138*g + 27*g**3 - 72 - 113*g.
3*(g - 6)*(3*g + 2)**2
Suppose 0 = -5*j + 4*r + 105, 5*j + 4*r - 84 = j. Solve 12*t**5 - 11*t**5 - j*t**3 + 23*t**2 - 8*t - 2*t**4 + 7*t**4 = 0 for t.
-8, 0, 1
Let i(z) be the third derivative of 9*z**7/280 + 43*z**6/160 + 31*z**5/40 + 5*z**4/8 - z**3 + 3751*z**2. What is b in i(b) = 0?
-2, -1, 2/9
Let c(q) be the third derivative of -q**6/180 - q**5/30 + 5*q**4/4 + 61*q**3/6 + 47*q**2. Let s(l) be the first derivative of c(l). What is p in s(p) = 0?
-5, 3
Let r(p) be the third derivative of 0 - 3/4*p**3 + 0*p + 1/280*p**7 - 11/32*p**4 - 3/80*p**5 + 3/160*p**6 + 105*p**2. Determine t so that r(t) = 0.
-3, -1, 2
Factor 356*h - 253472 - 1/8*h**2.
-(h - 1424)**2/8
Solve -35/2*n + 1/4*n**4 + 0*n**3 + 0 - 39/4*n**2 = 0 for n.
-5, -2, 0, 7
Let c(q) be the second derivative of q**5/50 - 11*q**4/30 + 4*q**3/15 + 12*q**2 - 25*q - 46. Solve c(s) = 0 for s.
-2, 3, 10
Let b = -191/3 + 3439/54. Let l(f) be the third derivative of 12*f**2 - 1/270*f**5 + b*f**4 - 1/27*f**3 + 0*f + 0. Let l(z) = 0. What is z?
1
Let t(y) be the second derivative of -y**6/165 - y**5/5 - 38*y**4/33 - 24*y**3/11 + 29*y + 78. Factor t(p).
-2*p*(p + 2)**2*(p + 18)/11
Let m(k) be the third derivative of -125*k**6/12 + 1565*k**5/6 - 2328*k**4 + 6912*k**3 + 60*k**2. Determine h so that m(h) = 0.
1, 144/25
Suppose 0*h = h + b, -5*h - 2*b + 18 = 0. Let u(q) be the first derivative of 12/5*q**5 - 8*q + 3 + 4*q**3 + h*q**2 - 7*q**4. Suppose u(n) = 0. Calculate n.
-2/3, 1
Let h(d) be the first derivative of 11 + 0*d - 1/6*d**4 - 3/10*d**5 - 1/15*d**6 - 13*d**2 + 0*d**3. Let c(u) be the second derivative of h(u). Factor c(i).
-2*i*(i + 2)*(4*i + 1)
Determine k so that -12*k**4 + 9982*k**3 - 9952*k**3 + 102*k**2 - 88*k - 150*k + 14*k**4 - 1176 = 0.
-7, -4, 3
Suppose 2/7*t**4 - 256*t + 576/7*t**2 + 0 - 60/7*t**3 = 0. What is t?
0, 8, 14
Let b(t) = -5*t**2 - 19*t - 32. Let y(o) = -40*o - 252. Let g be y(-6). Let z(k) = k**2 + k - 1. Let p(r) = g*z(r) - 3*b(r). Factor p(d).
3*(d + 3)*(d + 12)
Solve -14*y - 28*y**4 - 16*y**5 + 13*y + 49*y**3 + 64 + 12*y**5 - 5*y**3 + 76*y**2 - 151*y = 0 for y.
-8, -2, 1
Let p(i) be the third derivative of i**6/30 - 113*i**5/15 + 220*i**4/3 - 872*i**3/3 - 1544*i**2. Factor p(b).
4*(b - 109)*(b - 2)**2
Let o(d) = 1. Let k(z) = 11 + 9 - 82*z + 72*z + 2*z**2. Let c(l) = -k(l) + 12*o(l). Let c(f) = 0. What is f?
1, 4
Let r be 1 - (3/2)/((-10)/(-4)). Let w = 703 + -3513/5. Determine v, given that 4/5*v**4 - 6/5*v**3 - w - r*v**2 + 6/5*v = 0.
-1, 1/2, 1
Solve 1098304/3*a + 4192/3*a**2 + 4/3*a**3 + 0 = 0.
-524, 0
Let f(v) be the second derivative of 2*v**7/21 - 22*v**6/15 + 27*v**5/5 + 67*v**4/3 - 640*v**3/3 + 600*v**2 + 1431*v. What is u in f(u) = 0?
-3, 2, 5
Let i(r) = 8*r**2 - 3398*r + 931. Let b(c) = c**2 - 567*c + 155. Let f(q) = 17*b(q) - 3*i(q). Let f(u) = 0. What is u?
2/7, 79
Let x(y) be the first derivative of -13/4*y**2 - 1/4*y**3 - 4*y + 1/2*y**4 - 50 + 1/20*y**5. Factor x(p).
(p - 2)*(p + 1)**2*(p + 8)/4
Let k(q) be the second derivative of 1/12*q**4 + 6*q**2 - 1/40*q**5 - q + 5/3*q**3 + 42. Factor k(u).
-(u - 6)*(u + 2)**2/2
Let f = 143 - 134. Let 0*o**2 + 1841*o - 1856*o - f*o**2 - 4 - 2 = 0. Calculate o.
-1, -2/3
Let m = 292939/2964 + -593/6. Let z = 993/4940 + m. Factor -h + z*h**2 + 6/5.
(h - 3)*(h - 2)/5
Let n(x) = 2*x**4 - 165*x**3 - 731*x**2 - 552*x - 9. Let m(s) = 25*s**4 - 1980*s**3 - 8770*s**2 - 6625*s - 105. Let u(h) = -3*m(h) + 35*n(h). Factor u(w).
-5*w*(w - 37)*(w + 1)*(w + 3)
Suppose 0 = -a + 6 - 3. Let j be ((-2)/a)/(5/(45/(-2))). Factor 1/2*o**2 + 0 + 0*o + 1/2*o**4 - o**j.
o**2*(o - 1)**2/2
Let j(h) be the third derivative of h**8/448 + 27*h**7/280 + 3*h**6/20 - 13*h**5/20 + 4*h**2 - 195. Let j(c) = 0. Calculate c.
-26, -2, 0, 1
Let w(l) be the third derivative of -13*l**8/112 - 43*l**7/42 - 89*l**6/30 - 8*l**5/5 + 16*l**4/3 - 8*l**3/3 - 1133*l**2. Determine n so that w(n) = 0.
-2, 2/13, 1/3
Let h(g) be the second derivative of 5/3*g**3 - 6*g**2 + 0 - 1/6*g**4 - 52*g. Suppose h(k) = 0. Calculate k.
2, 3
Suppose -4*c = f + 15 - 59, 4 = -c - 4*f. Suppose 3*w - 3*p - 24 = 0, -w + c = -3*p + p. Find j such that 4*j**3 - 10*j**w - 4*j + 10*j**2 - 29 + 29 = 0.
-1, 0, 2/5, 1
Factor 171246*q**3 - 495*q**2 - 170991*q**3 + 200*q + 45*q - 5*q**4.
-5*q*(q - 49)*(q - 1)**2
Let o(d) be the third derivative of -4*d**2 + 4/21*d**7 - 17/6*d**4 - 16/3*d**3 - 6 - 2/15*d**5 + 1/84*d**8 + 0*d + 8/15*d**6. Factor o(c).
4*(c - 1)*(c + 1)**3*(c + 8)
Determine s, given that 193*s - 345*s**2 + 345 - 345*s - 5*s**3 + 157*s = 0.
-69, -1, 1
Let a(l) be the second derivative of 1/5*l**2 - 1/150*l**6 - 70 - 3/100*l**5 + 2*l + 1/10*l**3 - 1/60*l**4. Factor a(h).
-(h - 1)*(h + 1)**2*(h + 2)/5
Let p be ((-22)/8)/(63789/(-7732)) - (-1 - -1). Find u such that 0*u - p*u**2 + 16/3 = 0.
-4, 4
Let k(a) be the second derivative of -a**4/12 - 1571*a**3/3 - 2468041*a**2/2 - 8242*a. Find c such that k(c) = 0.
-1571
Let g(k) be the first derivative of 3*k**4/4 + 4*k**3 + 9*k**2/2 + 552. Let g(l) = 0. Calculate l.
-3, -1, 0
Let o(h) = h**3 - 2*h**2 - 8*h - 4. Let r be o(5). Let x = -29 + r. Factor -m**x + 3*m**2 + 37*m - 2*m**3 - 33*m.
-2*m*(m - 2)*(m + 1)
Let u = 216281/5 + -43256. Let b be (-1 + 1/(-2))*-2. Solve 1/5*j**5 + 2/5*j**2 + 0*j**b + 0 - 2/5*j**4 - u*j = 0.
-1, 0, 1
Suppose -160 = -4*p - 4*p. Find a such that -p*a**2 + 4*a**3 - 799 - 3*a + 819 - a = 0.
-1, 1, 5
Let h(b) be the first derivative of -b**4/4 + 7*b**3/3 - 2*b**2 - 12*b + 680. Determine i so that h(i) = 0.
-1, 2, 6
Let b(p) be the second derivative of -1/192*p**4 + 0 - 5*p**2 + 32*p - 1/480*p**5 + 0*p**3. Let w(z) be the first derivative of b(z). What is f in w(f) = 0?
-1, 0
Let a be (-9)/(-66)*(-1067)/(-291). Factor 35937/2 + 1683*t**2 + a*t**4 - 50*t**3 - 19602*t.
(t - 33)**3*(t - 1)/2
Let u = -112 - -114. Factor 21*n**5 - 2*n**3 - 44*n**u - 4*n**4 + 48*n**2 - 19*n**5.
2*n**2*(n - 2)*(n - 1)*(n + 1)
Let m = 136692 + -36656. Suppose m - 100036 + 27*v**2 - 24*v - 2*v**3 - v**3 = 0. What is v?
0, 1, 8
Let g(n) be the second derivative of -n**7/231 - 3*n**6/55 + 7*n**5/22 + 51*n**4/22 + 10*n**3/3 + 2909*n. Let g(c) = 0. What is c?
-11, -2, -1, 0, 5
Let w be ((-6)/(-33))/((-59 - -91)/32). Suppose -24/11*o + w*o**2 + 0 = 0. Calculate o.
0, 12
Let g = 157133 + -157133. Solve 3/8*q**4 + 11/8*q**3 + g + 1/2*q + 3/2*q**2 = 0 for q.
-2, -1, -2/3, 0
Let r(h) = -h**2 - h + 34. Let w be r(5). Let b(k) = 10*k**2 + 2355*k + 24255. Let j(o) = o**2 + 214*o + 2205. Let i(c) = w*b(c) - 45*j(c). Factor i(v).
-5*(v + 21)**2
Let g(f) be the second derivative of 17/8*f**6 - 9 + 153/40*f**5 - 1/4*f**4 - 3*f - 25/8*f**7 + 0*f**2 - f**3. Suppose g(y) = 0. Calculate y.
-2/5, 0, 2/7, 1
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