 is p in 0 - 5/6*p**q + 5/6*p + 5/6*p**4 - 5/6*p**2 = 0?
-1, 0, 1
Let x be (12/14)/((-4)/(-14)). Let i(m) be the first derivative of -2 + 0*m**x + 0*m**2 - 3/5*m**5 + 3/4*m**4 + 0*m. Let i(o) = 0. Calculate o.
0, 1
Suppose 22 = 3*u + 8*u. Suppose -2*b - 10 = -u*o + o, -b = 4. Let 2/9*t**4 + 4/9*t**3 + 0*t**o + 0*t + 0 = 0. Calculate t.
-2, 0
Let f(x) = -x**4 + 30*x**3 - 93*x**2 + 50*x. Let q(c) be the first derivative of c**5/5 - c**4/4 + c**3/3 + 23. Let s(o) = -f(o) + 2*q(o). Factor s(m).
m*(m - 5)**2*(3*m - 2)
Factor -57/7*f + 54/7 + 3/7*f**2.
3*(f - 18)*(f - 1)/7
Let o(c) be the first derivative of 14*c**3/3 + 6*c**2 + 34*c - 12. Let v(n) = 2*n**2 + 2*n + 5. Let a(b) = 6*o(b) - 44*v(b). Find r such that a(r) = 0.
-2
Let t be 10/(-14) - -1 - 1896/21. Let g = -444/5 - t. Determine v so that 3/5*v**2 - g*v + 0 + 3/5*v**3 = 0.
-2, 0, 1
Let h(p) be the third derivative of -p**8/84 + 2*p**7/75 + 43*p**6/150 + 37*p**5/75 - p**4/15 - 16*p**3/15 - 666*p**2. Let h(g) = 0. What is g?
-1, 2/5, 4
Let i(n) be the first derivative of 2*n + 1/24*n**4 - 6 + 0*n**2 + 1/6*n**3. Let a(s) be the first derivative of i(s). What is m in a(m) = 0?
-2, 0
Suppose -s - 4*n + 18 = 0, 5*s + 0*n - 69 = n. Suppose 0 = 5*x - 6 - s. Factor -12*w**4 - 9*w**4 + 11*w**x - 4*w**3.
-2*w**3*(5*w + 2)
Let r(i) = 5*i**2 + 36*i + 84. Let c(z) = 60*z**2 + 430*z + 1010. Let v(u) = -2*c(u) + 25*r(u). Factor v(n).
5*(n + 4)**2
Suppose -155*l**4 + 20*l**5 + 1754*l**3 - l**2 + 1607*l**3 - 3061*l**3 - 114*l**2 - 50*l = 0. What is l?
-1/4, 0, 1, 2, 5
Suppose z + 13 = 2*y + 9, -5*z - 4*y + 22 = 0. Let s be ((-3)/z)/(63/56 - 3). Factor 2*b**3 + 14/5*b + 2/5*b**4 + 18/5*b**2 + s.
2*(b + 1)**3*(b + 2)/5
Suppose u + 5 = -4*c, 7*c = u + 2*c - 13. Factor -4*m**5 + 2*m**3 + 14*m**3 - 8*m**2 - 4*m**u.
-4*m**2*(m - 1)**2*(m + 2)
Factor 16/17 - 50/17*h + 6/17*h**2.
2*(h - 8)*(3*h - 1)/17
Let g(o) = 2*o**5 - 4*o**4 + 38*o**3 - 56*o**2 + 16*o - 4. Let v(a) = -a**5 + 2*a + 1. Let u(c) = g(c) + 4*v(c). Solve u(k) = 0 for k.
-6, 0, 1, 2
Determine i so that -144/7 - 24/7*i + 20/7*i**2 - 2/7*i**3 = 0.
-2, 6
Let v(p) be the third derivative of -p**7/70 - p**6/5 + 11*p**5/20 + 9*p**4/4 - 966*p**2. Factor v(o).
-3*o*(o - 2)*(o + 1)*(o + 9)
Let z(a) be the first derivative of -1/5*a**4 + 9 - 2/5*a**2 - 2/5*a**3 - 1/5*a - 1/25*a**5. Factor z(o).
-(o + 1)**4/5
Let -568/7*u**2 + 4/7*u**5 + 4*u**4 - 136/7*u**3 + 348*u - 252 = 0. What is u?
-7, 1, 3
Let s(l) = 94*l**2 - l - 4. Let p be s(3). Factor 0*u - p*u**4 + 4*u + 8*u**3 + 841*u**4 + 10*u**2.
2*u*(u + 1)**2*(u + 2)
Let t(a) be the first derivative of 2*a**3/15 + 21*a**2/5 - 43. Factor t(k).
2*k*(k + 21)/5
Let v(x) = -x**3 - 8*x**2 + 9*x + 8. Let u be v(-9). Let 16*p**2 + u*p - 4*p**4 - 6*p**2 - 10*p**2 + 4 - 8*p**3 = 0. What is p?
-1, 1
Let d(l) = l**2 + 7*l + 14. Let r be d(-5). Let w(o) be the first derivative of -3 + 1/8*o**r + 1/12*o**3 - 1/4*o**2 + 0*o - 1/20*o**5. Factor w(h).
-h*(h - 2)*(h - 1)*(h + 1)/4
Let l(h) be the first derivative of -45*h**4 + 185*h**3/3 + 355*h**2/2 - 10*h - 575. Factor l(c).
-5*(c - 2)*(c + 1)*(36*c - 1)
Let x(t) = -9*t**3 + 6*t**2 + 3*t + 2. Suppose -7*a = -6*a - 1. Let l(p) = -1. Let c(f) = a*x(f) + 2*l(f). Suppose c(b) = 0. What is b?
-1/3, 0, 1
Let m(s) be the second derivative of -7*s**7/15 + 203*s**6/75 - 331*s**5/50 + 53*s**4/6 - 104*s**3/15 + 16*s**2/5 - 3*s + 9. Factor m(b).
-2*(b - 1)**3*(7*b - 4)**2/5
Let g = 113 + -103. Factor 107 - 7*w**2 - 19 + g + 28*w + 9*w**2.
2*(w + 7)**2
Let z(h) = 6*h. Let r be z(-1). Let d be 8*2*(-3)/r. Factor 36*u**2 - 82*u**2 + d*u**3 + 42*u**2 - 4*u**4.
-4*u**2*(u - 1)**2
Let p(j) be the third derivative of -1/6*j**3 + 0 + 1/240*j**6 - 1/16*j**4 + 0*j**5 + 0*j + 3*j**2. Factor p(l).
(l - 2)*(l + 1)**2/2
Let r be (-987)/940 - (1 - 2). Let i = r + 11/20. Factor i - 1/2*f**2 + 0*f.
-(f - 1)*(f + 1)/2
Let n = 14 - 12. Factor 46*f**2 - 93*f**2 + 11*f**3 + 49*f**n + 9*f**4.
f**2*(f + 1)*(9*f + 2)
Let d(h) be the second derivative of 0 - h**3 - 1/10*h**5 + 0*h**2 + 2/3*h**4 - 24*h. Let d(v) = 0. Calculate v.
0, 1, 3
Let a = -43 + 41. Let u be (-62)/(-36) - ((-19)/a + -8). Factor u*o**2 + 0 + 2/3*o.
2*o*(o + 3)/9
Let d be ((-24)/1944)/((-2)/9). Let h(r) be the second derivative of -1/36*r**4 + 1/3*r**2 + 0 - 7*r - d*r**3. Determine g so that h(g) = 0.
-2, 1
Let z(i) be the first derivative of 5*i**4/16 - 4*i**3/3 + 3*i**2/8 + 118. Suppose z(m) = 0. Calculate m.
0, 1/5, 3
Factor 185*j**2 + 6084*j + 127*j**2 - 3*j**3 + 7*j**3.
4*j*(j + 39)**2
Let l(p) be the second derivative of -p**6/10 - 27*p**5/20 - 21*p**4/4 - 19*p**3/2 - 9*p**2 - 46*p. Factor l(j).
-3*(j + 1)**3*(j + 6)
Let i(p) be the first derivative of 2*p**3/9 - p**2/3 - 4*p/3 - 2. Suppose i(x) = 0. What is x?
-1, 2
Let w(p) be the second derivative of -6*p**2 - 1/6*p**4 - 7/3*p**3 + 27*p + 0. Factor w(c).
-2*(c + 1)*(c + 6)
Let l(s) be the second derivative of -s**9/5040 + s**8/1120 - s**6/120 + s**5/40 + 35*s**4/12 - 31*s. Let a(v) be the third derivative of l(v). Factor a(h).
-3*(h - 1)**3*(h + 1)
Solve 0 - 2/13*j**4 - 20/13*j - 34/13*j**2 - 16/13*j**3 = 0 for j.
-5, -2, -1, 0
Let a = -137 - -197. Let a*b**2 - 49*b**4 - 2*b**2 + 109*b**3 + 12*b + 10*b**3 + 22*b**2 = 0. Calculate b.
-2/7, 0, 3
Let r(b) = -7*b**4 + 3*b**3 - 5*b**2 + 5*b + 5. Let m(k) = -8*k**4 + 4*k**3 - 6*k**2 + 6*k + 6. Let l(u) = 5*m(u) - 6*r(u). Solve l(p) = 0 for p.
-1, 0
Let v(n) be the third derivative of n**8/50400 - n**6/1800 + 11*n**5/60 - 9*n**2. Let g(b) be the third derivative of v(b). Suppose g(c) = 0. Calculate c.
-1, 1
Let u(o) = -2*o**2 + 93*o - 520. Let w be u(40). Let w*k - 2/3*k**2 + 0 + 2/3*k**3 = 0. Calculate k.
0, 1
Let d(l) = 3*l**3 + l**2 + 15*l - 17. Let s be d(1). Find z, given that 0*z + 0 - 2/3*z**s + 0*z**3 + 7/6*z**4 - 1/2*z**5 = 0.
-2/3, 0, 1, 2
Suppose 0 = 4*j - 5*k - 9 - 4, -2*j - 3*k = -1. Let v(n) be the second derivative of -1/18*n**3 + 0*n**j - 1/36*n**4 + 7*n + 0. Factor v(s).
-s*(s + 1)/3
Let a(r) = -15*r**2 + 15*r + 51. Let v(u) = -7*u**2 + 7*u + 24. Let w(l) = -6*a(l) + 13*v(l). What is k in w(k) = 0?
-2, 3
Let l be 3/((-3)/7) - 1118/(-78). Determine s so that 10*s**2 + 4/3 - l*s = 0.
1/3, 2/5
Factor 0 + 1/11*v**2 - 13/11*v.
v*(v - 13)/11
Let u be (2 - 9) + 11 + -12 + 172/20. Solve -u*g**2 + 3/5*g**4 + 0 + 3/5*g - 3/5*g**3 = 0.
-1, 0, 1
Let q(a) be the third derivative of 0*a - 1/160*a**5 + 0*a**4 + 1/16*a**3 - 9*a**2 + 0. Find p, given that q(p) = 0.
-1, 1
Let u(a) be the second derivative of a**5/80 - 13*a**4/24 + 169*a**3/24 - 77*a. What is n in u(n) = 0?
0, 13
Let p(d) = 15*d**2 + 27*d - 3. Let i(s) = 29*s**2 + 56*s - 8. Let r(c) = -3*i(c) + 7*p(c). Suppose r(n) = 0. What is n?
-1, -1/6
Factor 1/7*z**5 - 41/7 + 170/7*z**3 - 250/7*z**2 + 165/7*z - 45/7*z**4.
(z - 41)*(z - 1)**4/7
Let v(m) be the first derivative of -4*m**3/3 - 452*m**2 - 51076*m - 375. Suppose v(n) = 0. What is n?
-113
Let n = 3233/3 - 1063. Let k = -79/6 + n. Factor -k*j**2 + 3*j + 0.
-3*j*(j - 2)/2
Let j(m) be the third derivative of -m**5/270 + 11*m**4/108 - 271*m**2. Suppose j(w) = 0. What is w?
0, 11
Let m = 70/23 + -25/46. Factor -5*c**2 - m*c**3 + 5/2*c + 5.
-5*(c - 1)*(c + 1)*(c + 2)/2
Let g(w) = -w**2 + 19*w + 23. Let v be g(20). Suppose -4 = 2*t + 2*s, -2*t + 4*s - 2*s = -4. Determine x, given that -6/7*x + 27/7*x**3 + t - v*x**2 = 0.
-2/9, 0, 1
Let m = 6498/17 - 58448/153. Factor 2/3*r**2 + m*r + 0 + 2/9*r**4 + 2/3*r**3.
2*r*(r + 1)**3/9
Let w(x) = -5*x. Let y(g) = -g**2 + 27*g + 4. Let h(t) = 30*w(t) + 5*y(t). Factor h(l).
-5*(l - 1)*(l + 4)
Factor -2/5*t**3 + 2*t**2 - 14/5*t + 6/5.
-2*(t - 3)*(t - 1)**2/5
Factor -4/7*s**2 + 416/7*s - 10816/7.
-4*(s - 52)**2/7
Let a(n) be the second derivative of n**5/100 + 29*n**4/30 + 64*n - 3. Let a(q) = 0. Calculate q.
-58, 0
Suppose -m - 3 = -4*k + 6, 0 = 5*k + 2*m - 21. Suppose 5*c**4 - 5*c**2 - 7*c**5 + 10*c**3 - 12*c + 2*c + 5*c**k + 2*c**5 = 0. Calculate c.
-1, 0, 1, 2
Let c(b) be the second derivative of -5*b**7/49 - 8*b**6/15 - 4*b**5/7 + 16*b**4/21 + 16*b**3/21 + 2*b - 42. Determine n, given that c(n) = 0.
-2, -2/5, 0, 2/3
Let q(g) be the third derivative of g**5/12 - 5*g**4/4 - 35*g**3/6 + 16*g**2. Solve q(v) = 0.
-1, 7
Let a(i) = -i**2 + 8*i + 12. Let z be a(9). Suppose -4*x + x = 5*v - 27, 2*x +