f -1/3*v**2 + 8 - 1/9*v**r + 0*v. Let c(b) = 0. What is b?
-2, 0
Let v(w) be the first derivative of -w**6/24 - w**5/12 + 5*w**4/12 - 3*w**2/2 + 8. Let l(b) be the second derivative of v(b). Factor l(k).
-5*k*(k - 1)*(k + 2)
Let h(b) = -b**3 + 59*b**2 - 327*b + 477. Let g be h(53). Factor 0 + 9/4*t**3 - 3/2*t**2 + g*t - 3/4*t**4.
-3*t**2*(t - 2)*(t - 1)/4
Let f(q) = -3*q**4 + 42*q**3 + 299*q**2 + 686*q + 5. Let c(l) = 2*l**4 - 42*l**3 - 298*l**2 - 686*l - 4. Let s(h) = -5*c(h) - 4*f(h). Factor s(y).
2*y*(y + 7)**3
Let m(h) = 5*h**2 + 16*h + 24. Let l(f) = 16*f**2 + 48*f + 70. Let q(j) = 3*l(j) - 10*m(j). Find p such that q(p) = 0.
-5, -3
Solve 4*l + 80 + 1/4*l**5 - 4*l**4 + 91/4*l**3 - 49*l**2 = 0.
-1, 4, 5
Let s be 12/5 - 15/(-25). Suppose s*u - 4 = 4*p, 4*p = -4*u + 13 + 11. Solve 3*i**5 + 6*i**3 + 0*i - 9*i - 3 + u*i**4 - 6*i**2 + 5*i**4 = 0 for i.
-1, 1
Let n(i) = -4*i**5 + 16*i**4 - 18*i**3 + 8*i**2 - 2*i. Let w(k) be the third derivative of k**6/120 - k**4/24 + 8*k**2. Let u(c) = n(c) - 2*w(c). Factor u(h).
-4*h**2*(h - 2)*(h - 1)**2
Suppose 3*j - 8 = 7. Suppose 4*p - j = 151. Find r, given that 3*r - 2*r + 45*r**2 - p*r**2 + 9*r**3 = 0.
-1/3, 0
Let p be (3 + (-455)/105)/(22/(-3)). What is c in 0*c**3 + 0*c - 4/11*c**2 + 2/11*c**4 + p = 0?
-1, 1
Let a be ((-39)/6)/((-1)/(-2)). Let f = a - -19. Suppose 14 - 6 - 2*r**2 + f*r**2 + 12*r = 0. Calculate r.
-2, -1
Let i(y) be the third derivative of y**6/300 + y**5/15 - 17*y**4/60 - 22*y**3/5 - y**2 - 321*y. Factor i(c).
2*(c - 3)*(c + 2)*(c + 11)/5
Let b be 4*(-7 - 639/(-90)). Determine l, given that -2/5*l**4 + 0 + 1/5*l**5 + b*l**2 + 0*l**3 - 1/5*l = 0.
-1, 0, 1
Suppose -3*t = 2*q + 33, -3*q + 3*t + 20 - 77 = 0. Let u(y) = -y**2 - 17. Let a(k) = -3 + 4 + 3. Let w(c) = q*a(c) - 4*u(c). What is i in w(i) = 0?
-1, 1
Let o(q) be the third derivative of q**7/4620 + q**6/1980 - q**3 - 13*q**2. Let p(u) be the first derivative of o(u). Let p(d) = 0. Calculate d.
-1, 0
Determine h, given that 0*h**3 - 2/7*h**4 + 0 + 4/7*h + 6/7*h**2 = 0.
-1, 0, 2
Let j be (8/(-192)*6)/((-2)/4). Let d(r) be the third derivative of 19/30*r**5 + 0 + 8*r**2 + 0*r**3 + 0*r + 7/60*r**6 - j*r**4. Factor d(a).
2*a*(a + 3)*(7*a - 2)
Factor 2*s**2 - 531*s + 0*s**2 + 429*s + 79 - 5*s**2 + 26.
-3*(s - 1)*(s + 35)
Let n(y) be the first derivative of -9*y**6/14 + 36*y**5/35 + 15*y**4/28 - 12*y**3/7 + 6*y**2/7 - 96. Suppose n(m) = 0. Calculate m.
-1, 0, 2/3, 1
Determine d, given that 26/11*d**2 - 2/11*d**3 + 92/11*d + 64/11 = 0.
-2, -1, 16
Let c(j) be the second derivative of -j**7/21 + 11*j**6/15 - 17*j**5/5 + 23*j**4/3 - 29*j**3/3 + 7*j**2 + 12*j - 7. What is n in c(n) = 0?
1, 7
Let a(n) be the first derivative of -17*n**5/10 - 13*n**4 - 55*n**3/2 - 9*n**2/2 + 67. Factor a(k).
-k*(k + 3)**2*(17*k + 2)/2
Suppose -2*b = 5*m - 6, -4*m - 4*b = -m + 2. Factor -12 - 5*h**m - 4*h**3 - 11*h**2 + 28 + 4*h.
-4*(h - 1)*(h + 1)*(h + 4)
Let u(d) = 3*d**2 - 9*d - 4. Let m be u(5). Factor m*f**5 + 8*f**2 + 21*f - 32*f**2 - 57*f**5 + 28*f**5 + 6*f**4 + 6*f**3 - 6.
-3*(f - 1)**4*(f + 2)
Let o(m) be the first derivative of -1 + 0*m + 2/3*m**3 - m**4 + m**2. Let o(b) = 0. Calculate b.
-1/2, 0, 1
Let f(z) = 4*z**2 + z. Let s(y) = -4*y**3 - 174*y**2 - 83*y. Let m(q) = 3*f(q) + s(q). Solve m(w) = 0 for w.
-40, -1/2, 0
Let b(u) = u**3 + u + 1. Let j(g) = -g**4 - 4*g**3 - 12*g**2 - 6*g + 2. Let x(v) = 2*b(v) - j(v). Determine y so that x(y) = 0.
-2, 0
Suppose 4*b = 1354 - 1306. Let l(h) be the first derivative of 0*h - 1/8*h**4 - 1/4*h**2 - b + 1/3*h**3. Factor l(i).
-i*(i - 1)**2/2
Factor -28 + 4/7*s**2 + 192/7*s.
4*(s - 1)*(s + 49)/7
Factor -6*i + 3/2*i**3 - 3/2*i**4 + 6*i**2 + 0.
-3*i*(i - 2)*(i - 1)*(i + 2)/2
Let s(y) = -5*y**4 + 10*y**3 - 3*y**2. Let f(m) = 161*m**3 - 65*m**2 + 95*m**3 - 36*m**3 - 110*m**4. Let a(o) = 2*f(o) - 45*s(o). Find n such that a(n) = 0.
0, 1
Let w be (16 - 26) + 23 + -10. Let -10/13*c**2 + 8/13*c**w - 4/13*c + 6/13*c**4 + 0 = 0. Calculate c.
-2, -1/3, 0, 1
Factor 351*s - 4900 + 57*s - 4*s**2 - 128*s.
-4*(s - 35)**2
Let a(u) be the second derivative of -u**10/7560 + u**9/945 - u**8/336 + u**7/315 - 17*u**4/6 - 28*u. Let z(o) be the third derivative of a(o). Factor z(n).
-4*n**2*(n - 2)*(n - 1)**2
Let d(k) be the third derivative of k**7/735 + k**6/35 - k**5/210 - k**4/7 - 38*k**2 - 5. Factor d(x).
2*x*(x - 1)*(x + 1)*(x + 12)/7
Let t(q) be the first derivative of -q**3 + 51*q**2/2 + 54*q - 19. Factor t(o).
-3*(o - 18)*(o + 1)
Let h(x) be the second derivative of 22*x + 0 + 4/15*x**3 - 1/30*x**4 - 3/5*x**2. What is d in h(d) = 0?
1, 3
Let t(v) be the third derivative of 0*v + 1/6*v**4 + 0 - 5/3*v**3 - 29*v**2 - 1/150*v**5. Factor t(x).
-2*(x - 5)**2/5
Let b(l) = 3*l**2 - 4*l - 31. Let o(s) = 4*s**2 - 3*s - 33. Let c(k) = 6*b(k) - 4*o(k). Find q, given that c(q) = 0.
-3, 9
Let n = 16160/3 + -177754/33. Suppose 18/11*i**2 - 48/11*i + 40/11 - n*i**3 = 0. What is i?
2, 5
Let t be (-5)/4 + -28*(-1)/16. Let b(r) be the third derivative of r**2 + t*r**3 - 3/16*r**4 + 1/80*r**6 + 0*r**5 + 0 + 0*r. What is i in b(i) = 0?
-2, 1
Factor -5*i**4 - i**4 - 23*i**3 - 2 + 9*i - 16*i**2 - 4*i**5 + 37*i**3 + 5*i**5.
(i - 2)*(i - 1)**4
Let f be 2/(-5) - 1591/(-3885). Let l(u) be the second derivative of f*u**6 - 1/42*u**4 + 0*u**3 + 5*u + 1/70*u**5 + 0*u**2 + 0 - 1/147*u**7. Solve l(y) = 0.
-1, 0, 1
Let s(d) be the second derivative of d**5/10 + 12*d**4/7 + 83*d**3/21 + 18*d**2/7 - 83*d. Factor s(q).
2*(q + 1)*(q + 9)*(7*q + 2)/7
Factor -31*q**2 + 16*q - 6*q**3 + 4*q**4 + 3*q**4 + 20*q**3 - 5*q**4 - q**4.
q*(q - 1)**2*(q + 16)
Let g(s) = -1 + s**3 + 0*s**3 + s**4 + 3*s**2 + 2*s + 0*s**3 - 6*s**3. Let w(d) = -d**3 + d**2. Let i(a) = -g(a) + 3*w(a). Find l, given that i(l) = 0.
-1, 1
Factor 62*y - 11 + 135*y**2 - 25 - 4*y**3 - 8*y**3 + 14*y + 35*y.
-3*(y - 12)*(y + 1)*(4*y - 1)
Let y(k) be the second derivative of 0 + 1/45*k**6 - 1/9*k**4 + 1/3*k**2 - 1/30*k**5 + 16*k + 1/18*k**3 + 1/126*k**7. Solve y(v) = 0.
-2, -1, 1
Let d(m) be the second derivative of m**5/240 + 5*m**4/48 + 25*m**3/24 - 6*m**2 - 19*m - 1. Let c(o) be the first derivative of d(o). Factor c(f).
(f + 5)**2/4
Let 5/2*j + 1/4*j**2 + 4 = 0. What is j?
-8, -2
Determine h so that 3/7*h + 3/7*h**2 + 0 - 3/7*h**4 - 3/7*h**3 = 0.
-1, 0, 1
Let k(u) be the first derivative of u**3/6 + 15*u**2/2 + 225*u/2 + 53. Factor k(p).
(p + 15)**2/2
Let f(w) be the first derivative of -w**6/2 - 3*w**5 + 15*w**4/4 + 45*w**3 - 324*w - 22. What is i in f(i) = 0?
-3, 2
Let k = 391 - 386. Let c(q) be the first derivative of -8*q - 6*q**2 - 4/3*q**3 + k. Factor c(t).
-4*(t + 1)*(t + 2)
Let i(l) = -30*l**3 - 189*l**2 - 159*l. Let f(c) = -3*c**3 - 19*c**2 - 16*c. Let p(w) = -21*f(w) + 2*i(w). Factor p(m).
3*m*(m + 1)*(m + 6)
Let q(x) be the first derivative of 9 - 8/9*x - 4/9*x**2 + 2/27*x**3 + 1/18*x**4. Factor q(c).
2*(c - 2)*(c + 1)*(c + 2)/9
Find m, given that -6*m**4 - 46*m**3 + 0 - 86/3*m**2 - 14/3*m = 0.
-7, -1/3, 0
Suppose -4*b = -2*r - 78, -2*r - 17 = -5*b + 60. Let k = 44 + r. Suppose 1/2*m**2 + 0*m - m**k + 1/2*m**4 + 0 = 0. What is m?
0, 1
Let c be 2/(-8)*(-17 + 17). Factor c*a - 3/5 + 3/5*a**2.
3*(a - 1)*(a + 1)/5
Find o such that 55296/17 + 88/17*o**4 + 11520/17*o**2 + 41472/17*o + 1472/17*o**3 + 2/17*o**5 = 0.
-12, -4
Suppose -5*s + 0 - 3 = -d, -2*d = -4*s - 6. Factor -32 + 60 - 28 + d*r**2 - 6*r.
3*r*(r - 2)
Let k(q) = 4*q**5 + 5*q**3 - 3*q**2 + 3*q. Let y(l) = -15*l**5 - l**4 - 18*l**3 + 12*l**2 - 11*l. Let p(b) = -22*k(b) - 6*y(b). Factor p(z).
2*z**2*(z - 1)*(z + 1)*(z + 3)
Find r such that -22*r**2 + 57*r**2 - 14*r**2 - 18*r = 0.
0, 6/7
Factor 27244491/5*w + 1887648/5*w**2 + 642/5*w**4 + 3/5*w**5 + 47342886/5 + 51834/5*w**3.
3*(w + 2)*(w + 53)**4/5
Let y be 4/54*-79 - -6. Let z(f) be the first derivative of -y*f**3 - 1/9*f**2 + 0*f - 1/18*f**4 - 4. What is q in z(q) = 0?
-1, 0
Suppose 3*q - 4*g - 18 = 0, -22 = -2*q + 4*g - 6. Determine s so that -13*s**q + 0*s + 3*s + 20*s**4 + 2*s - 7*s**2 - 5*s**3 = 0.
-1, 0, 1/4, 1
Let q(r) be the first derivative of -1/20*r**4 + 0*r**2 - 2/15*r**3 + 5 + 0*r. Factor q(y).
-y**2*(y + 2)/5
Let t(q) be the second derivative of q**7/840 + q**6/20 + 27*q**5/40 - 43*q**3/6 - 6*q. Let f(y) be the second derivative of t(y). Determine v so that f(v) = 0.
-