ven that -5*p - 2*p**d + 4*p + 3*p**3 = 0.
-1, 0, 1
Let x(l) be the second derivative of -l**6/30 + 21*l**5/2 - 11233*l**4/12 + 3640*l**3 - 5408*l**2 + 229*l. Factor x(j).
-(j - 104)**2*(j - 1)**2
Let f = 693785/12402 - 2947/53. Let b = -3/26 + f. Determine p, given that 0*p + b*p**2 - 2/9 = 0.
-1, 1
Determine b so that 144 - 350*b + 12*b**3 - 22*b**4 + 52*b**2 + 146*b + 18*b**4 = 0.
-4, 1, 3
Find j, given that -2592/7 + 370*j**2 + 144/7*j**3 + 2/7*j**4 - 144/7*j = 0.
-36, -1, 1
Let p(h) be the first derivative of -2/3*h**6 - 64*h - 224/3*h**3 - 96*h**2 - 36/5*h**5 - 17 - 32*h**4. Find z such that p(z) = 0.
-2, -1
Let v be (42/(-4) - -2 - -10)*3. Find x such that 0 + 5/2*x**4 - 1/2*x**5 - x + 7/2*x**2 - v*x**3 = 0.
0, 1, 2
Let d(q) be the first derivative of -q**9/189 + q**8/30 - 11*q**7/280 - 7*q**6/90 - q**5/30 + 4*q**3 + 6. Let v(w) be the third derivative of d(w). Factor v(r).
-r*(r - 2)**2*(4*r + 1)**2
Let r(v) = 1 + 3 - 37*v - 6*v**2 - v**3 + 31*v. Let t be r(-5). Let -3 - 4 - t + 4 - 8*s + 4*s**2 = 0. Calculate s.
-1, 3
Let o(j) be the first derivative of j**5/50 - j**4/10 + 2*j**3/15 + 50. Let o(b) = 0. Calculate b.
0, 2
Let h(o) = -o**5 - o**3 - o**2 - 1. Let m(b) = -13*b**5 - 12*b**4 - 29*b**3 - 3*b**2 + 24*b - 11. Let y(x) = 22*h(x) - 2*m(x). Factor y(q).
4*q*(q - 1)*(q + 2)**2*(q + 3)
Let u(a) be the third derivative of a**6/1440 + a**5/40 - 2*a**4/3 + 52*a**3/9 - 863*a**2. Suppose u(n) = 0. What is n?
-26, 4
Solve 2*t**2 + 0 + 4/17*t + 42/17*t**3 = 0.
-2/3, -1/7, 0
Let x(p) = p**4 - p**3 + 9*p**2 + 5*p. Let h(w) = 2*w**4 - 2*w**3 + 11*w**2 + 6*w. Let k(z) = 2*h(z) - 3*x(z). Find t such that k(t) = 0.
-1, 0, 3
Let y(l) be the second derivative of 0*l**2 + 5/6*l**4 - 1/3*l**3 + 0 - 19*l. Factor y(f).
2*f*(5*f - 1)
Let u(n) be the third derivative of 11*n**7/12600 + n**6/1800 + n**4/12 - 8*n**2. Let j(x) be the second derivative of u(x). Factor j(p).
p*(11*p + 2)/5
Let x be (-15)/((-45)/(-6)) + 5626/(-18). Let k = x + 315. Factor 2/9*g**5 - 4/9*g**2 + k*g**4 + 0*g**3 - 2/9*g + 0.
2*g*(g - 1)*(g + 1)**3/9
Let q be 49/(-91) - -9 - (-6 + 36/3). Suppose 14/13*c**4 - 168/13*c + q - 102/13*c**3 + 224/13*c**2 = 0. What is c?
2/7, 1, 2, 4
Let m be 16/14*((-175)/(-125))/(2/5). Factor 2/5*n**5 - 6/5*n**3 + 0 + 8/5*n**2 - 4/5*n**m + 8/5*n.
2*n*(n - 2)**2*(n + 1)**2/5
Let r(z) be the first derivative of -1/6*z**3 + 18 + 1/4*z + 1/8*z**2. Factor r(c).
-(c - 1)*(2*c + 1)/4
Let y(h) be the third derivative of -h**6/840 - h**5/35 - 9*h**4/56 + 2*h**2 - 39*h. What is l in y(l) = 0?
-9, -3, 0
Let v(l) be the second derivative of -81/19*l**2 - 28*l - 36/19*l**3 - 1/285*l**6 + 0 - 6/95*l**5 - 9/19*l**4. Factor v(f).
-2*(f + 3)**4/19
Let z be (1/4*-45)/(3/12). Let m be -1*37/z + (-57)/95. Determine o, given that -m*o**2 - 2/9*o + 2/9*o**3 + 2/9 = 0.
-1, 1
Suppose -3*g - 9 + 3 = 2*c, -2*c - 14 = 5*g. What is u in 4*u**4 - u + 7*u**2 - 7*u**2 - 4*u**2 + 3*u**5 - 2*u**c = 0?
-1, -1/3, 0, 1
What is p in p**2 - 8*p**2 + 34 - 25*p - 54 + 2*p**2 = 0?
-4, -1
Let u(b) = -2*b**3 - 9*b**2 - 7*b + 5. Suppose q + 2 = -3. Let t(d) = -d**3 - 5*d**2 - 4*d + 3. Let m(l) = q*t(l) + 3*u(l). Factor m(s).
-s*(s + 1)**2
Let s(t) = -t - 9. Let h be s(4). Let v(m) = -11*m**2 + 4*m + 15. Let d(p) = 5*p**2 - 2*p - 7. Let c(g) = h*d(g) - 6*v(g). What is l in c(l) = 0?
-1
Factor -90*b**2 + 3600*b + 3/4*b**3 - 48000.
3*(b - 40)**3/4
Let j = -376 + 382. Let i(a) be the second derivative of 1/18*a**4 - 1/63*a**7 + 1/30*a**5 + 3*a + 0 + 0*a**2 + 0*a**3 - 1/45*a**j. Suppose i(v) = 0. What is v?
-1, 0, 1
Let g(j) be the first derivative of -44*j**3/3 - 18*j**2 + 8*j + 104. Solve g(s) = 0.
-1, 2/11
Let w(g) = -7*g**2 + 781*g + 1582. Let f(x) = -30*x**2 + 3385*x + 6855. Let i(h) = 8*f(h) - 35*w(h). Let i(n) = 0. Calculate n.
-2, 53
Let u = -9751 - -19505/2. Factor -15/2*i**2 - 9*i + 0 + u*i**3.
3*i*(i - 6)*(i + 1)/2
Let r be (-1)/2*-11*(-52)/(-858). Suppose 4/3*z**3 - r*z**4 + 1 - 4/3*z - 2/3*z**2 = 0. What is z?
-1, 1, 3
Let g(k) be the second derivative of k**5/30 - k**4/18 - k**3/9 + k**2/3 + k - 30. Factor g(m).
2*(m - 1)**2*(m + 1)/3
Solve -2/7*x**3 - 104/7 + 104/7*x**2 + 2/7*x = 0 for x.
-1, 1, 52
Let n(a) be the third derivative of a**5/160 - a**4/2 - 138*a**2. Determine t, given that n(t) = 0.
0, 32
Let l(g) = g**3 + g**2 - 31*g + 52. Let p be l(2). Factor 1/7*h**p + 0 + 2/7*h.
h*(h + 2)/7
Suppose -4*x = -1 - 23. Suppose -15 = n - x*n. Factor 16*b + 5*b**n + 6*b**3 - 3*b**3 - 4 - 20*b**2.
4*(b - 1)**2*(2*b - 1)
Let c(m) = -3 + 5 - 2*m + m - 7. Let g be c(-9). Solve 0*u**3 + 0 + 0*u + 1/7*u**g - 1/7*u**2 = 0.
-1, 0, 1
Let s(a) = -6*a**2 - 114*a - 32. Let z(h) = -2*h**2 - 38*h - 10. Let d(r) = -5*s(r) + 16*z(r). What is m in d(m) = 0?
-19, 0
Determine p, given that -75*p + 378/5 - 3/5*p**2 = 0.
-126, 1
Let x(b) be the first derivative of b**8/112 + b**7/35 - b**5/10 - b**4/8 - 4*b**2 - 12. Let z(d) be the second derivative of x(d). Factor z(a).
3*a*(a - 1)*(a + 1)**3
Let k(b) be the second derivative of b**4/3 + 10*b**3/3 + 8*b**2 - 2*b + 24. Factor k(l).
4*(l + 1)*(l + 4)
Suppose -2*a + a + 4*m = -10, 0 = a - 2*m - 6. Let r(l) = l**a + 5*l - 2 - 3 - 6*l**2. Let x(h) = 24*h**2 - 26*h + 26. Let j(d) = 14*r(d) + 3*x(d). Factor j(g).
2*(g - 2)**2
Let f(t) be the first derivative of 2*t**3/39 + 2*t**2/13 + 57. Find q such that f(q) = 0.
-2, 0
Let b(n) be the first derivative of -n**6/540 + n**5/45 - n**4/12 - 4*n**3/3 + 4. Let a(f) be the third derivative of b(f). Find s such that a(s) = 0.
1, 3
Let w(u) be the second derivative of 23*u - 1/7*u**4 - 2/7*u**3 + 0 - 2/7*u**2 - 1/35*u**5. Find n, given that w(n) = 0.
-1
Let z = 2/731 - -651/29240. Let t(b) be the second derivative of 0*b**4 - 1/8*b**2 - 1/12*b**3 + 3*b + 1/120*b**6 + 0 + z*b**5. Solve t(l) = 0.
-1, 1
Let j(c) be the second derivative of c**4/60 + 2*c**3/15 + 2*c**2/5 + 51*c. Determine i, given that j(i) = 0.
-2
Let j(n) = -13*n**3 + 18*n**2 - 3*n + 1. Let o(y) = 66*y**3 - 90*y**2 + 14*y - 6. Let l be (-611)/(-39) + 1/3. Let h(g) = l*j(g) + 3*o(g). Factor h(f).
-2*(f - 1)**2*(5*f + 1)
Let o(s) = -s**3 + 51*s**2 + 41*s + 11. Let y(m) = -1 + 2*m - 1 - 13*m + 3*m - 10*m**2. Let v(g) = 4*o(g) + 22*y(g). Determine z so that v(z) = 0.
-3, -1, 0
Suppose 0*k + 12 = k - 2*p, -12 = 3*p. Suppose y + 3 - k = -u, -2*y = u + 3. Factor -15 - 2*t**2 + 6 + u*t**2 - 6*t**2 + 15*t - 3*t**3.
-3*(t - 1)**2*(t + 3)
Let x(y) be the third derivative of y**7/45 - 4*y**6/45 + 11*y**5/90 - y**4/18 - 119*y**2. Factor x(q).
2*q*(q - 1)**2*(7*q - 2)/3
Let y(g) be the first derivative of g**3 - 63*g**2/2 - 66*g + 66. Factor y(l).
3*(l - 22)*(l + 1)
Let k(y) be the second derivative of y**6/135 + 2*y**5/45 + y**4/18 - 27*y. Determine f so that k(f) = 0.
-3, -1, 0
Determine a, given that -a**4 + 18*a**3 + 158 + 34 - 33*a**2 + 21*a - 60*a**2 + 59*a = 0.
-1, 3, 8
Let l(f) be the second derivative of 3*f**5/80 - 29*f**4/8 + 57*f**3/8 + 51*f + 2. What is k in l(k) = 0?
0, 1, 57
Let 2/7*u**2 + 12/7 + 10/7*u = 0. What is u?
-3, -2
Let o be (0/1*5/(-15))/1. Factor 2/5*v**5 + 0 + o*v + 2/5*v**4 - 2*v**3 + 6/5*v**2.
2*v**2*(v - 1)**2*(v + 3)/5
Let x(t) be the third derivative of 1/4*t**4 - 1/40*t**6 + 0 + 0*t**3 - 1/20*t**5 - 9*t**2 + 0*t. Factor x(f).
-3*f*(f - 1)*(f + 2)
Let n(c) be the second derivative of -c**6/72 - c**5/6 - 5*c**4/6 - 7*c**3/3 + 11*c. Let q(v) be the second derivative of n(v). Factor q(f).
-5*(f + 2)**2
Suppose -841 = -7*a - 841. Solve 1/10*z**3 + 1/10*z**2 - 1/10*z + a - 1/10*z**4 = 0.
-1, 0, 1
Let x(v) be the third derivative of 0*v**4 + 1/1080*v**6 - 1/270*v**5 - 7*v**2 + 0*v + 0 + 0*v**3. Factor x(i).
i**2*(i - 2)/9
Let n(k) be the second derivative of -7*k**4/3 + 454*k**3/3 + 264*k**2 + 88*k. Determine u so that n(u) = 0.
-4/7, 33
Suppose 2*h**2 - 2/9*h - 2 + 2/9*h**3 = 0. What is h?
-9, -1, 1
Let x(q) be the third derivative of -1/120*q**5 - 7*q**2 + 0*q - 1/12*q**3 + 1/24*q**4 + 0. Factor x(z).
-(z - 1)**2/2
Let d(r) be the first derivative of 21*r**4/4 + 10*r**3 - 12*r**2 - 160. Let d(y) = 0. What is y?
-2, 0, 4/7
Let u = 21 + -29. Let d be 2/(-2 + u/(-3)) - 3. Factor 1/3*t**4 + 0 + d*t + 0*t**3 - 1/3*t**2.
t**2*(t - 1)*(t + 1)/3
Find r, given that 0*r**2 + 0*r + 0 - 19/4*r**3 - 1/4*r**4 = 0.
-19, 0
Let g = 7286/69939 + 4/3681. Fac