the first derivative of 1/3*b**2 + f*b**4 + 1/15*b**5 + 0*b - 1/3*b**3 + 3. Find d, given that v(d) = 0.
-2, 0, 1
Let v(h) = -9*h**2 - 10*h - 1. Let z(m) = 3*m**2 + 3*m. Let y(n) = 2*v(n) + 7*z(n). Let t be y(1). Suppose 1/4*i**3 + 0*i + 0 - 1/2*i**t = 0. What is i?
0, 2
Factor -8/11*q + 0 - 72/11*q**2 - 162/11*q**3.
-2*q*(9*q + 2)**2/11
Determine t, given that 6*t**5 - t**5 - 6*t**5 + t**4 + t**3 - t**2 = 0.
-1, 0, 1
Let y(d) = -40*d**2 - 8*d + 22. Let c(m) = 13*m**2 + 3*m - 7. Let q(p) = 10*c(p) + 3*y(p). Solve q(l) = 0 for l.
-1, 2/5
Factor -1/2*h**3 + 2*h + 0*h**2 + 0.
-h*(h - 2)*(h + 2)/2
Let d(v) be the second derivative of v**7/210 - v**6/75 - v**5/25 + 2*v**4/15 - 39*v. Suppose d(l) = 0. Calculate l.
-2, 0, 2
Factor -7/6*r**2 + 2/3 + 2*r.
-(r - 2)*(7*r + 2)/6
Solve 9 + 5 + 18*y + 6*y + 4*y**2 + 22 = 0 for y.
-3
Let d(l) be the third derivative of l**8/5040 + l**7/315 + l**6/45 + 11*l**5/60 - 9*l**2. Let i(h) be the third derivative of d(h). Factor i(z).
4*(z + 2)**2
Let b(k) be the first derivative of -k**4/16 + k**3/12 + 6. What is s in b(s) = 0?
0, 1
Let b = 11 - 7. Let n be ((-2)/b)/((-9)/24). Determine h, given that -10/3*h**3 - n*h - 14/3*h**2 + 0 = 0.
-1, -2/5, 0
Let z(c) be the second derivative of -c**4/72 + 5*c**3/36 - c**2/2 + 10*c. Find w such that z(w) = 0.
2, 3
Suppose -2*b - 6 = -12. Let 6*w**2 - 4*w**4 - 4*w**3 + 7*w**b + w**4 = 0. Calculate w.
-1, 0, 2
Factor 7/3*o**2 + 8/3 + 10*o.
(o + 4)*(7*o + 2)/3
Let o(k) = k**3 - 4*k**2 - 5*k + 3. Let t be o(5). Let x(p) be the third derivative of 0 + 1/60*p**5 + 0*p + 0*p**4 - 1/6*p**3 + t*p**2. Factor x(w).
(w - 1)*(w + 1)
Let c(n) = 5*n**2 + n - 4. Let l(p) = p**2 + 4*p - 5. Let q(t) = -t + 1. Let o(d) = l(d) + 4*q(d). Let k(x) = c(x) - 6*o(x). Factor k(w).
-(w - 2)*(w + 1)
Let b be (12/(-32))/(2 - 29). Let x(a) be the third derivative of 1/180*a**5 + b*a**4 + a**2 + 0*a**3 + 0*a + 0. Factor x(o).
o*(o + 1)/3
Let k(o) be the third derivative of -o**6/1020 - o**5/102 - o**4/68 + 3*o**3/17 + 2*o**2. Find u such that k(u) = 0.
-3, 1
Let h(p) be the second derivative of 605*p**4/36 - 110*p**3/9 + 10*p**2/3 - 15*p. Solve h(y) = 0 for y.
2/11
Suppose w + 3*i = 8 + 9, -i + 3 = -w. Suppose -4 = -f - w. Factor u**3 + 2*u - u**2 + u**3 - 3*u**f.
2*u*(u - 1)**2
Let f(h) be the third derivative of h**6/540 + h**5/90 + h**4/54 - 43*h**2. Factor f(r).
2*r*(r + 1)*(r + 2)/9
Let v(x) be the first derivative of x**4/32 - 5*x**3/24 + x**2/2 - x/2 + 4. Factor v(r).
(r - 2)**2*(r - 1)/8
Let w(q) be the second derivative of q**4/28 - 2*q**3/7 + 6*q**2/7 + 5*q. Factor w(a).
3*(a - 2)**2/7
Let k(o) = -6*o**3 - 4*o**2 + 2*o. Let g(q) = 7*q**3 + 4*q**2 - 3*q. Suppose 5*j = r + 17, 4*r - 43 + 15 = -4*j. Let a(x) = j*g(x) + 5*k(x). Solve a(y) = 0.
-1, 0
Let o(k) be the first derivative of -k**6/120 - 3*k**5/40 - k**4/4 - 5*k**3/3 - 3. Let s(p) be the third derivative of o(p). Factor s(i).
-3*(i + 1)*(i + 2)
Let a(r) = 9*r**2 - 29*r + 43. Let q be -8*4/(-16)*1. Let n(u) = -3*u**2 + 10*u - 14. Let o(w) = q*a(w) + 7*n(w). Factor o(z).
-3*(z - 2)**2
Let m = -5 + 2. Let p(o) = -o**3 + 3*o**2 + 4*o. Let w(l) = l**3 - 4*l**2 - 5*l. Suppose -5*a + 0*a = 20. Let b(f) = a*p(f) + m*w(f). Let b(j) = 0. Calculate j.
-1, 0, 1
Let b(z) be the third derivative of z**8/168 + z**7/35 + z**6/30 - z**2. Factor b(r).
2*r**3*(r + 1)*(r + 2)
Let c = -3/74 - -55/444. Let o(j) be the second derivative of 0*j**2 - 2*j + 0 + c*j**4 + 1/20*j**5 + 0*j**3. Factor o(i).
i**2*(i + 1)
Suppose 2*k + 3 = 17. Factor -4 - 2*a + 6 - 2 + k*a**2.
a*(7*a - 2)
Let j be (-42)/(-12)*((-12)/(-8) - 1). Determine w, given that 1/2 + w**3 + j*w**5 - 11/4*w + 7/2*w**2 - 4*w**4 = 0.
-1, 2/7, 1
Let q(g) = 8*g**2 - 12*g + 8. Let x(j) = j**2. Let o(w) = w + 8. Let l be o(-9). Let i(t) = l*q(t) + 4*x(t). Solve i(b) = 0 for b.
1, 2
Let f(i) be the third derivative of i**7/42 - i**5/4 - 5*i**4/12 - 8*i**2. Let f(w) = 0. Calculate w.
-1, 0, 2
Let u(r) be the first derivative of r**4/14 - 26*r**3/21 + 23*r**2/7 - 22*r/7 + 29. Suppose u(t) = 0. Calculate t.
1, 11
Let a(b) = b**2 + b + 2. Let j be a(0). Suppose -3*l + 4 = -l. Determine d, given that 0 - 2*d**l + j + d + d**2 = 0.
-1, 2
Let n(l) be the second derivative of -l**6/20 + 3*l**5/40 + 5*l**4/8 + 3*l**3/4 + 35*l. Factor n(x).
-3*x*(x - 3)*(x + 1)**2/2
Let y(w) be the third derivative of 0*w + 0 + 8*w**2 + 1/735*w**7 + 0*w**5 + 1/210*w**6 - 1/42*w**4 - 1/21*w**3. What is c in y(c) = 0?
-1, 1
Let n = -1/12 - -5/12. Let p(j) be the first derivative of 0*j**2 + j - n*j**3 + 1. Suppose p(i) = 0. Calculate i.
-1, 1
Let o(q) = -q**2 - 4*q - 3. Suppose 3*m = g - 2*g - 5, g + 3 = -m. Let h be o(m). Solve 1/5*r**3 + 0 + h*r**4 + 0*r**2 + 0*r - 1/5*r**5 = 0 for r.
-1, 0, 1
Let c(h) be the second derivative of h**6/120 + 3*h**5/80 - h**4/12 + 33*h. Let c(u) = 0. What is u?
-4, 0, 1
Let w be 18/2*(-6)/99. Let c = 76/99 + w. What is v in -4/9 + 14/9*v**3 + 4/3*v**2 - c*v + 4/9*v**4 = 0?
-2, -1, 1/2
Let t = 16/47 + 391/94. Factor 15*r**3 - 37/2*r**2 - t*r**4 + 10*r - 2.
-(r - 1)**2*(3*r - 2)**2/2
Factor -20*i - 24*i**2 + 50 - 28/5*i**3 - 2/5*i**4.
-2*(i - 1)*(i + 5)**3/5
Factor 0 + 2/5*s**3 + 0*s + 1/5*s**2 + 1/5*s**4.
s**2*(s + 1)**2/5
Let t(s) be the first derivative of -3 + 0*s**2 - 3*s + 1/36*s**4 + 1/9*s**3. Let q(y) be the first derivative of t(y). Factor q(r).
r*(r + 2)/3
Let f be (-74)/40 + (-6)/(-3). Let x(s) be the second derivative of 1/10*s**6 + 1/14*s**7 + 0*s**3 - 1/4*s**4 + 0*s**2 + 0 + 4*s - f*s**5. Solve x(p) = 0 for p.
-1, 0, 1
Suppose 2*f - 5*o - 14 = 0, -5*f = -3*f + 5*o + 26. Let u(k) = -k - 1. Let d be u(f). Factor -1/3*i**d - 1/3*i + 0.
-i*(i + 1)/3
Determine i so that -8/9*i + 2/9*i**2 + 2/3 = 0.
1, 3
Let l(s) be the second derivative of 1/90*s**5 + 1/27*s**3 - 1/27*s**4 + 0*s**2 + s + 0. Factor l(j).
2*j*(j - 1)**2/9
Let n be 220/(-15)*222/5. Let s = n - -654. Factor 8/5 - 32/5*y + s*y**3 + 2*y**2.
2*(y - 1)*(y + 2)*(7*y - 2)/5
Suppose 2*o - 7 - 3 = 0. What is s in -4*s**2 + o*s**2 + s**2 = 0?
0
Let g(n) be the first derivative of 1 + 4*n + n**2 - 1/2*n**4 - 4/3*n**3. Solve g(u) = 0.
-2, -1, 1
Let m = 3/32 - -21/32. Let j be 1/(-6)*3/(-2). Suppose -j*h**2 - 1/2 - m*h = 0. Calculate h.
-2, -1
Factor -4 + 2*h + 8*h**5 - 4*h**4 - 44*h**2 - 4*h**5 - 8*h**3 + 52*h**2 + 2*h.
4*(h - 1)**3*(h + 1)**2
Let d(g) be the third derivative of -g**8/3360 + g**7/420 - g**6/180 - g**4/24 - 2*g**2. Let a(s) be the second derivative of d(s). Solve a(h) = 0 for h.
0, 1, 2
Let a(n) be the third derivative of -n**5/45 + 5*n**4/9 - 50*n**3/9 - 11*n**2. Solve a(p) = 0 for p.
5
Let j be 2/(-6) + (-12)/(-9). Find b such that -3*b**2 - j + b**4 + 2*b**2 + 1 - b + b**3 = 0.
-1, 0, 1
Let p(w) be the second derivative of 6*w**2 + 6*w + 0 + 2*w**3 + 1/4*w**4. Factor p(g).
3*(g + 2)**2
Let y(s) be the third derivative of -s**6/1380 + 7*s**5/690 - 5*s**4/92 + 3*s**3/23 + 16*s**2. Find x, given that y(x) = 0.
1, 3
Let s(c) be the second derivative of -3*c**6/40 + c**5/5 - 5*c**4/48 - c**3/12 + 14*c. What is x in s(x) = 0?
-2/9, 0, 1
Let f(z) be the second derivative of z**6/5 - z**5/10 - z**4/2 + z**3/3 - 29*z. Determine c, given that f(c) = 0.
-1, 0, 1/3, 1
Let r(x) be the third derivative of x**7/350 + x**6/200 - x**5/50 + 12*x**2. What is u in r(u) = 0?
-2, 0, 1
Let t(a) be the third derivative of a**5/12 - 5*a**4/24 - 5*a**3/3 - 16*a**2. Let t(y) = 0. Calculate y.
-1, 2
Let a(v) = 4*v**4 + 2*v**3 - 6*v**2 - 2*v - 2. Let h(t) = 17*t**4 + 9*t**3 - 23*t**2 - 9*t - 9. Let y(k) = -9*a(k) + 2*h(k). Solve y(m) = 0 for m.
-2, 0, 2
Let y = -5/27 - -23/27. Let b(w) be the first derivative of -1 - 1/2*w**2 + 0*w + 3/4*w**4 + y*w**3. Factor b(l).
l*(l + 1)*(3*l - 1)
Let o(v) be the first derivative of -v**3/3 + v - 3. Let i(s) = s**4 - 2*s**3 - 10*s**2 + 11. Let r(n) = -2*i(n) + 22*o(n). Factor r(c).
-2*c**2*(c - 1)**2
Let -24/7*u + 3/7 + 24/7*u**3 - 48/7*u**4 + 45/7*u**2 = 0. Calculate u.
-1, 1/4, 1
Let x be 892/2016 - 15/35. Let u(m) be the third derivative of -x*m**4 + 0 + 0*m**3 - 1/180*m**5 + m**2 + 0*m. Factor u(w).
-w*(w + 1)/3
Let h(d) be the third derivative of d**8/1008 - d**7/315 + d**5/90 - d**4/72 + 10*d**2. What is u in h(u) = 0?
-1, 0, 1
Let j be 36/6*4/6. Factor -8*b + 12*b**3 + 10*b**2 - j*b**3 - b**3 - 8 - b**3.
2