vative of -2*t**5/75 - t**4/15 + 8*t**3/45 + 8*t**2/15 + 69. Find s such that b(s) = 0.
-2, 0, 2
Find z, given that -52 + 28*z**4 + 134*z - 2*z**5 + 117658*z**2 - z**3 - 117746*z**2 - 19*z**3 = 0.
-2, 1, 13
Let b be (-1)/(8/(-40)*1). Let c(u) be the third derivative of 0*u**3 - 1/15*u**b - 1/6*u**4 + 0*u + u**2 + 0. Determine k, given that c(k) = 0.
-1, 0
Let a(u) be the third derivative of u**7/735 - 13*u**6/420 - u**5/210 + 13*u**4/84 + 114*u**2. Determine j so that a(j) = 0.
-1, 0, 1, 13
Let p(u) = -u**3 + 2*u**2 + 3. Let s(o) be the third derivative of o**6/40 - o**5/10 - o**4/24 - 4*o**3/3 - 20*o**2. Let q(c) = -8*p(c) - 3*s(c). Factor q(x).
-x*(x - 3)*(x + 1)
Let m(o) be the first derivative of o**8/1008 - o**6/120 - o**5/90 - o**2 + 2*o - 5. Let c(i) be the second derivative of m(i). Factor c(b).
b**2*(b - 2)*(b + 1)**2/3
Suppose 0 = b - 6 + 5, -4*n = 3*b + 1. Let l(q) = q**2 - q. Let y(j) = -12*j**2 - 9*j - 15. Let w(c) = n*y(c) - 9*l(c). Suppose w(t) = 0. Calculate t.
-5, -1
Let l(c) = -c**2 + 5*c + 11. Let r be l(-5). Let g be (-123)/r - 2/13. Suppose -6 + 18*y**g + 15/2*y**4 - 3/2*y**2 - 18*y = 0. Calculate y.
-2, -1, -2/5, 1
Let q(t) be the second derivative of t**7/630 - t**6/90 + t**5/30 - 7*t**4/12 + 2*t. Let w(v) be the third derivative of q(v). Factor w(g).
4*(g - 1)**2
Factor 2/3*m**2 + 16/3*m - 22.
2*(m - 3)*(m + 11)/3
Factor -16/5*r**3 + 0*r**2 + 2316/5*r**5 + 0 + 0*r + 304*r**4.
4*r**3*(3*r + 2)*(193*r - 2)/5
Let d(q) be the third derivative of -q**6/600 - 9*q**5/50 + 11*q**4/24 + 120*q**2 + 2. Let d(k) = 0. Calculate k.
-55, 0, 1
Let k be 49/126*-4*(-210)/49. Suppose 32/9*y**4 + k*y**2 + 64/9*y**3 + 26/9*y + 2/3*y**5 + 4/9 = 0. Calculate y.
-2, -1, -1/3
Suppose 2*o - p + 8 = p, -1 = -o + 2*p. Let y = o + 11. Solve -7*m - 5 - m - 2*m**y - 3 = 0 for m.
-2
Let x = -537 - -541. Find c, given that 15/2*c**2 - 15/2*c**x - 5*c + 0 + 5/2*c**5 + 5/2*c**3 = 0.
-1, 0, 1, 2
Suppose 3*q - 26 = -5*a, 2 - 4 = -3*a + 5*q. Suppose 8 = -a*p + 4*m, 11 + 5 = -2*p + 5*m. Factor d**3 - 3*d**4 - 3*d**2 + p*d**2 - 2*d**3 + 3*d**2.
-d**2*(d + 1)*(3*d - 2)
Let p(i) be the second derivative of 35/18*i**3 + 5/12*i**4 - 30*i + 5/3*i**2 + 0. Let p(g) = 0. Calculate g.
-2, -1/3
Let b(t) be the first derivative of 6/5*t + 2/5*t**2 + 3 - 2/15*t**3. Factor b(j).
-2*(j - 3)*(j + 1)/5
Suppose 0 = -5*j - 92 - 73. Let b = j + 35. What is h in -4/11*h**b + 2/11*h + 2/11*h**3 + 0 = 0?
0, 1
Let u(q) be the second derivative of -2*q + 0*q**2 - 3*q**3 + 0 - 1/10*q**5 - q**4. Factor u(r).
-2*r*(r + 3)**2
Suppose 53*a - 48*a = 20. Suppose -2*v + 14 = 4*p, -3*p = -p - a. Find o, given that 0 + 0*o - 8/7*o**2 - 20/7*o**v = 0.
-2/5, 0
Let g(z) be the second derivative of -z**6/360 - z**5/120 + 7*z**3/6 + 20*z. Let h(t) be the second derivative of g(t). Let h(s) = 0. Calculate s.
-1, 0
Let l(t) = -t - 4. Let r be l(-6). Find d such that -d**2 - 2*d**3 - 20*d + 7*d**3 - 8*d**r - 6*d**2 = 0.
-1, 0, 4
Let m be 12*2*2/8. Suppose -5*h + m = -2*h. Suppose h - 6*l + l**2 + 3 + 4 + 0*l = 0. Calculate l.
3
Suppose 0 = -2*w - p + 3, -5*p = -3*w - 2. Let z(r) = 3*r - 1. Let i be z(w). Solve -2*a**5 + 0*a**3 + i*a**3 + 2*a**4 - 2*a**4 = 0.
-1, 0, 1
Suppose 4*q + 6 = 3*b + 41, -2*q = 3*b - 31. Suppose 3*t - q = 7. What is u in 2*u**3 + t*u + 4*u**2 - 9*u - 3*u**4 + u**5 + 1 - 2*u**2 = 0?
-1, 1
Let i(o) = 3*o**2 + 29*o + 72. Let a be i(-5). Factor -1/2*u + 0 + 1/4*u**a.
u*(u - 2)/4
Let g(f) = 7*f**2 - 2*f**2 + 10*f - 5*f**4 - 5 - f**2 + 11*f**2. Let v(u) = u**5 - 4*u**4 + 16*u**2 + 11*u - 6. Let p(k) = 6*g(k) - 5*v(k). Factor p(l).
-5*l*(l - 1)*(l + 1)**3
Factor 0*h**2 + 39*h + 5*h**2 - 9*h.
5*h*(h + 6)
Let l(h) = 15*h + 92. Let a be l(-6). Factor 3/2*n - 1 - 1/2*n**a.
-(n - 2)*(n - 1)/2
Let m(f) be the first derivative of f**4/42 - 20*f**3/63 + f**2/3 + 12*f/7 + 713. Let m(w) = 0. Calculate w.
-1, 2, 9
Suppose -3*i + 2*i = -2. Suppose i*t = -3*a + 21 - 1, 3*t = -a + 16. Factor 3*p**4 + 3*p**t - 3*p**5 - 3*p**4 + 0*p**5.
-3*p**4*(p - 1)
Let o(y) be the third derivative of y**8/2520 + y**7/315 - 17*y**6/900 - 49*y**5/450 + 8*y**4/9 - 20*y**3/9 + 3*y**2 + 9*y. Suppose o(f) = 0. What is f?
-5, 1, 2
Suppose b + 3*b = 16. Factor 8*j**3 - 9*j**3 + 10*j - 5*j**b + 12*j**3 - 25*j**2 + 9*j**3.
-5*j*(j - 2)*(j - 1)**2
Let g(n) be the second derivative of -n**4/4 + 12*n**3 + 75*n**2/2 + 819*n. Determine s so that g(s) = 0.
-1, 25
Let h(c) = -3*c - 6. Let w be h(11). Let y = 66 + w. Determine d, given that -3*d + 5*d - y*d**2 + 21*d**3 - 2*d + 6*d = 0.
0, 2/7, 1
Let i(p) be the third derivative of 19*p**2 - 2*p**3 - 1/60*p**5 + 0*p + 13/24*p**4 + 2. Factor i(t).
-(t - 12)*(t - 1)
Let t(p) = -12*p**3 + 105*p**2 - 66*p - 27. Let a(y) = y**3 - 8*y**2 - 1 + 5*y + 0*y + 5 - 2. Let k(m) = 27*a(m) + 2*t(m). Factor k(x).
3*x*(x - 1)**2
Let f(j) = -2*j**2 - 2*j + 2. Let u(g) be the second derivative of g**4/12 + g**2/2 - 7*g. Let i(a) = f(a) - u(a). Determine q, given that i(q) = 0.
-1, 1/3
Determine p so that -24/7 - 138/7*p**2 + 156/7*p + 33/7*p**3 = 0.
2/11, 2
Let a = 33 + -28. Factor 2*v**3 - a*v**4 + 4*v**3 + 14*v**4 + 3*v**5 + 3*v**2 + 3*v**3.
3*v**2*(v + 1)**3
Let p = 465/2 + -232. Factor -7/8*o**4 - p*o + 3/2*o**2 + 9/8*o**3 + 0.
-o*(o - 2)*(o + 1)*(7*o - 2)/8
Let f be 3*(3/(-18) + 6/4). Factor -3*h**3 + h**3 + 2*h**4 - 26*h - f - 3*h**2 + 36*h - 3*h**2.
2*(h - 1)**3*(h + 2)
Let w be (32/10)/((-18)/(-225)). Let v be ((-10)/25)/((-1)/w). Suppose -4*f**5 - 48*f**2 - 36*f + 8*f**3 + v*f**4 - 23 + 23 = 0. What is f?
-1, 0, 3
Let k(m) = 10*m - 46. Let h be k(5). Let l be (-152)/(-36) - h - (-14)/(-144). Factor -1/4*i**2 + 1/4 + l*i**3 - 1/8*i.
(i - 2)*(i - 1)*(i + 1)/8
Let u = -28 + 31. Let o(q) be the first derivative of -2*q**u + 8 + 0*q**2 + q**4 - 2*q**3 + 4*q**2 - 7. Solve o(x) = 0 for x.
0, 1, 2
Let u(p) = -p**2 + 1. Let i(y) = 24*y**2 + 112*y + 764. Let x be (16 - 15)/(0 - 1). Let q(c) = x*i(c) - 20*u(c). Find k such that q(k) = 0.
-14
Suppose -64/5*g**2 - 92/5*g**3 + 0 - 12/5*g - 8*g**4 = 0. Calculate g.
-1, -3/10, 0
Suppose -5*o + 58 = 43. Suppose q = -9*q + o*q. Suppose q + 2/3*n**3 + 4/3*n - 2*n**2 = 0. What is n?
0, 1, 2
Solve -5*n - 80 - 51*n + 2462*n**2 + 4*n**4 + 14*n**3 - 2*n**4 - 2450*n**2 = 0 for n.
-5, -2, 2
Suppose 2*j - 14 = -4*s, -3*j + j - 5*s = -15. Suppose 5 + 8 - 2*y**2 - j = 0. Calculate y.
-2, 2
Determine j, given that -21/2*j**3 - 5/2*j**5 - 17/4*j**2 - 37/4*j**4 - 1/2*j + 0 = 0.
-2, -1, -1/2, -1/5, 0
Suppose -x + 4*c - 7 = 0, -660*x + 662*x = 4*c - 2. Factor -4/3*f**2 + 4/3*f**3 + 2/3*f**x - 2*f + 2*f**4 - 2/3.
2*(f - 1)*(f + 1)**4/3
Let w = -130 - -391/3. Let q(c) be the second derivative of -1/5*c**5 - w*c**3 - 1/3*c**6 + c**4 - c**2 + 6*c + 0 + 1/7*c**7. Factor q(o).
2*(o - 1)**3*(o + 1)*(3*o + 1)
Let h be (495/(-81))/5 + 3. Factor 32/9 - h*l + 2/9*l**2.
2*(l - 4)**2/9
Factor 5459 - 31*o - 1680*o**2 - 251*o - 25340 + 1679*o**2.
-(o + 141)**2
Let z be 0 - -1 - (-8)/4. Let w be (1/(-2))/(1/(-20)). Solve 8*p + z*p**4 - p**4 - 4*p**4 - 16*p**2 + w*p**3 = 0 for p.
0, 1, 2
Suppose 210*c - 484*c**2 + 853*c**2 + 40 - 424*c**2 = 0. Calculate c.
-2/11, 4
Let c(v) = -4*v + 2. Let k(x) = -x**2 - 31*x - 8. Let j(f) = -12*c(f) - 3*k(f). Factor j(m).
3*m*(m + 47)
Let c(z) be the third derivative of z**8/60480 + z**7/7560 + 3*z**5/20 - 10*z**2. Let q(l) be the third derivative of c(l). Factor q(y).
y*(y + 2)/3
Factor 5627*g**2 + 395 + 163 + 48*g**4 + 12616*g**2 + 9480*g + 642 + 622*g**3 - 2518*g**3.
3*(g - 20)**2*(4*g + 1)**2
Suppose -7*u = -3*u - 304. Factor u - 9*o - 3*o**2 - 76.
-3*o*(o + 3)
Let w(q) be the second derivative of -8*q**7/49 + 52*q**6/35 - 135*q**5/28 + 95*q**4/14 - 59*q**3/14 + 9*q**2/7 - 60*q - 1. What is b in w(b) = 0?
1/4, 1, 2, 3
Factor -13442*f - 2/3*f**3 + 566/3*f**2 + 13254.
-2*(f - 141)**2*(f - 1)/3
What is i in 3/2 + 1/4*i**2 - 5/4*i = 0?
2, 3
Let q(y) be the third derivative of y**5/15 + 9*y**4 + 486*y**3 - 76*y**2. Suppose q(v) = 0. What is v?
-27
Let a(n) = -n**3 - 4*n**2 + 7*n + 15. Let d be a(-5). Let m(g) be the first derivative of 0*g**3 + 1/7*g**4 - 4 + 2/35*g**d - 2/7*g - 2/7*g**2. Factor m(s).
2*(s - 1)*(s + 1)**3/7
Determine k, given that 2/15*k + 4/15*k**2 - 2/15*k**3 - 4/15 = 0.
-1, 1, 2
Let u(s) = -s**3 + 17*s**2 + 2*s - 22. Let m be u(17)