**2 + 5. Let z(g) = -5*h(g) - 4*q(g). What is d in z(d) = 0?
0
Let n be 320/214 + (-15)/10. Let o = n + 647/1070. Factor 3/5*p**5 + o*p**3 - 6/5*p**4 + 0 + 0*p**2 + 0*p.
3*p**3*(p - 1)**2/5
Factor -23*i**2 + 65*i**2 - 2 - 19*i**2 + 4*i - 25*i**2.
-2*(i - 1)**2
Suppose 0 = 3*f - 12 + 6. Factor -109 - 4*y + 4*y**f + 109.
4*y*(y - 1)
Suppose -2*v + 49 = -u, -2 = -3*u + 1. Factor v*t + t**3 - 5*t**3 - 21*t.
-4*t*(t - 1)*(t + 1)
Let o(v) be the third derivative of v**5/140 + 3*v**4/56 + v**3/7 - 3*v**2. Factor o(k).
3*(k + 1)*(k + 2)/7
Let b be 6/(-12)*(-8)/3. Let q(a) be the first derivative of b*a**3 + 1/2*a**4 + 0*a - 2 + a**2. Let q(s) = 0. What is s?
-1, 0
Suppose 0 = 5*g - 2*f + 40, 8*f = 3*f + 25. Let a be (-20)/g - (-1)/(-3). Factor 2*j**a - j**2 + 0*j - 2*j + j**2.
2*j*(j - 1)*(j + 1)
Let p(k) = -3*k**2 - 2*k + 2. Let m(w) = 7*w**2 + 4*w - 5. Let t(l) = 2*m(l) + 5*p(l). Factor t(h).
-h*(h + 2)
Factor -1/2*a - 1/2*a**5 + 0*a**4 + 0*a**2 + a**3 + 0.
-a*(a - 1)**2*(a + 1)**2/2
Let h(n) be the first derivative of -4 + 0*n + 1/13*n**2 - 1/39*n**6 - 4/65*n**5 + 4/39*n**3 + 0*n**4. Suppose h(m) = 0. Calculate m.
-1, 0, 1
Let r be 12/(-30) - (-24)/10. Suppose 2*x**r - 3*x + x + 4*x = 0. Calculate x.
-1, 0
Let o(t) be the third derivative of 3/140*t**7 + 0*t - 1/12*t**3 - 1/120*t**6 + 0 + 1/8*t**4 - 1/15*t**5 - 1/168*t**8 - t**2. Let o(w) = 0. Calculate w.
-1, 1/4, 1
Let b(a) be the first derivative of -a**6/30 + 2*a**5/25 - 2*a**3/15 + a**2/10 - 6. Factor b(m).
-m*(m - 1)**3*(m + 1)/5
Let m(l) be the second derivative of 0*l**2 + 5*l - 1/50*l**5 - 1/105*l**7 + 0*l**4 + 0 + 0*l**3 - 2/75*l**6. Factor m(u).
-2*u**3*(u + 1)**2/5
Let g be (-9)/2 + 6/12. Let a be 1/2 - 6/g. Factor -a*o**3 - o**4 - 3*o**2 - o**2 + 3*o**2.
-o**2*(o + 1)**2
Let g(z) = -z**2 - z + 2. Let f(l) = -2*l**2 + 2. Let j(a) = 2*f(a) - 3*g(a). Let o(k) = k**2 - 3*k + 2. Let v(h) = 6*j(h) + 5*o(h). Factor v(u).
-(u - 2)*(u - 1)
Let f be 2/7 + 14/(-49). Let m(h) be the third derivative of 0 - 1/5*h**6 + 1/6*h**4 + 1/10*h**5 + h**2 + 1/15*h**7 + f*h + 0*h**3. What is a in m(a) = 0?
-2/7, 0, 1
Let n = 6 + -3. Let k = n + 0. Factor -k - 2*v**2 - 2*v - 5 + 10*v.
-2*(v - 2)**2
Determine a, given that 2/13*a**3 + 32/13*a + 16/13*a**2 + 0 = 0.
-4, 0
Let x be ((-2)/(-5))/((-6)/(-5)). Let l be 4 - 3 - (-4)/(-6). Suppose -l + 1/3*q**3 - 1/3*q + x*q**2 = 0. What is q?
-1, 1
Let s = -57 + 115/2. Factor s*f + 1/4*f**2 + 0.
f*(f + 2)/4
Find d such that -45 - 23 - 34*d + 5*d**2 + 23 - 6*d = 0.
-1, 9
Factor -24/7*u - 2/7*u**2 - 22/7.
-2*(u + 1)*(u + 11)/7
Let b(s) be the first derivative of -4*s**9/63 - 2*s**8/105 + s**7/42 + s**6/90 - 8*s**3/3 + 9. Let n(x) be the third derivative of b(x). Factor n(q).
-4*q**2*(3*q - 1)*(4*q + 1)**2
Let k be (-5)/(20/(-8)) + 3. Factor d**3 + d**2 + 6*d**2 + d - k*d**2.
d*(d + 1)**2
Factor -3*s**3 + 53 - 6*s**2 + 5*s**3 - 45.
2*(s - 2)**2*(s + 1)
Let 0*x - 32/3 + 2*x**2 - 1/3*x**3 = 0. What is x?
-2, 4
Suppose l = -3*k - 6 + 5, -k + 3 = 0. Let s = l + 12. Suppose 0 - 3/4*f + 3/4*f**3 + 3/4*f**4 - 3/4*f**s = 0. What is f?
-1, 0, 1
Let b(l) be the third derivative of l**6/24 + l**5/12 + 3*l**2. Let b(s) = 0. Calculate s.
-1, 0
Let a(z) = -2*z**3 + 9*z**2 + 7. Let b be (-40)/22 - 8/44. Let x(k) = k**3 - k**2 - 1. Let c(f) = b*a(f) - 14*x(f). Factor c(l).
-2*l**2*(5*l + 2)
What is l in 8/5*l - 6/5 - 2/5*l**2 = 0?
1, 3
Let i(p) = 2*p**2 - 79*p + 41. Let b be i(39). Solve 1/5*q - 1/5*q**3 + 2/5 - 2/5*q**b = 0.
-2, -1, 1
Let t(g) be the first derivative of 0*g**2 + 2/5*g**5 - 1/9*g**6 - 1/2*g**4 + 0*g + 2/9*g**3 + 2. Factor t(c).
-2*c**2*(c - 1)**3/3
Let p(m) = 15*m**4 + 9*m**3 + 9*m**2 + 6*m. Let v(t) = -8*t**4 - 4*t**3 - 4*t**2 - 3*t. Let k(u) = -5*p(u) - 9*v(u). Factor k(y).
-3*y*(y + 1)**3
Let j(a) be the second derivative of a + 2/3*a**3 + 0 + 0*a**2 + 1/2*a**4 + 1/10*a**5. Factor j(f).
2*f*(f + 1)*(f + 2)
Let h = 31/7 + -185/42. Let q(c) be the second derivative of 1/7*c**2 - h*c**4 + 0*c**3 - 4*c + 0. Factor q(s).
-2*(s - 1)*(s + 1)/7
Let g(d) be the first derivative of -d**5/150 + d**4/30 - d**3/15 + 3*d**2/2 - 1. Let n(q) be the second derivative of g(q). Factor n(b).
-2*(b - 1)**2/5
Let u = 7 + -4. Solve -3*s**4 + s**4 - 2*s**u + 2*s + 2*s**2 + 0*s**2 = 0 for s.
-1, 0, 1
Let k(f) be the third derivative of 5*f**8/224 + f**7/20 + f**6/40 - 3*f**2. Suppose k(b) = 0. What is b?
-1, -2/5, 0
Let a(n) be the second derivative of 0*n**2 + 0 - 1/60*n**4 - 1/30*n**3 + 2*n. Suppose a(v) = 0. Calculate v.
-1, 0
Let v = -110 + 110. What is k in v*k - 1/3 + 1/3*k**2 = 0?
-1, 1
Factor 30*i**3 - i - 63*i - 42*i**3 - 52*i**2 - 16.
-4*(i + 2)**2*(3*i + 1)
Suppose 10*x = 7*x + 6. Factor c - c - 3*c**x + 12.
-3*(c - 2)*(c + 2)
Determine i, given that -3*i**5 + 0 + 3/4*i**4 + 3*i**3 + 0*i - 3/4*i**2 = 0.
-1, 0, 1/4, 1
Let q(v) be the first derivative of -v**6/3 + 8*v**5/5 - 3*v**4 + 8*v**3/3 - v**2 - 1. Let q(o) = 0. Calculate o.
0, 1
Let k(f) be the second derivative of -f**7/5040 - f**6/540 - f**5/144 - f**4/72 - 5*f**3/6 + 3*f. Let z(d) be the second derivative of k(d). Factor z(q).
-(q + 1)**2*(q + 2)/6
Let x = 833/3 + -277. Factor -2/3*i**4 + x*i**3 - 2/3*i + 2/3*i**2 + 0.
-2*i*(i - 1)**2*(i + 1)/3
Let x be ((1 + 47)/6)/2. Find m such that m + 3/2*m**2 + 1/4*m**x + 1/4 + m**3 = 0.
-1
Let p(g) be the second derivative of g**4/12 - g**3/2 + g**2 + 2*g. Factor p(b).
(b - 2)*(b - 1)
Let v(o) be the second derivative of 3*o**4/4 - o**3 + 2*o. Factor v(c).
3*c*(3*c - 2)
Let t = 18 - 35/2. Solve 0*m + 0*m**2 + 1/2*m**4 + 0 - t*m**3 = 0 for m.
0, 1
Let x(f) be the second derivative of -f**5/50 - f**4/6 - 8*f**3/15 - 4*f**2/5 - 5*f. Factor x(v).
-2*(v + 1)*(v + 2)**2/5
Let j(a) = -7*a**2 + 12*a - 3. Let f(m) be the first derivative of -5*m**3 + 12*m**2 - 7*m + 9. Let k(h) = 3*f(h) - 7*j(h). Factor k(y).
4*y*(y - 3)
Let r(c) = -c**2. Let m(x) = -2*x**2. Let a(i) = 4*m(i) - 9*r(i). Let o(n) = 6*n**3 + 3*n**2 - 16*n - 8. Let h(w) = 5*a(w) - o(w). Let h(z) = 0. Calculate z.
-1, -2/3, 2
Suppose -5 + 14 = 3*r. Let v(d) be the first derivative of -3/2*d**2 - 1/2*d**r - 2*d - 1/16*d**4 + 1. Let v(q) = 0. What is q?
-2
Let k(u) be the third derivative of -u**6/468 - 7*u**5/780 - u**4/78 + u**3/2 + 2*u**2. Let z(t) be the first derivative of k(t). Factor z(d).
-2*(d + 1)*(5*d + 2)/13
Suppose 20 = -0*c + 5*c. Factor -c*j**4 + 13*j**2 - 13*j**2 - 2*j**5 - 2*j**3.
-2*j**3*(j + 1)**2
Let z(x) be the third derivative of -x**5/36 - 5*x**4/36 + 30*x**2. Factor z(q).
-5*q*(q + 2)/3
Let z(b) be the third derivative of -b**8/1344 + b**7/420 + b**6/120 - b**5/120 - b**4/32 + 24*b**2. Suppose z(j) = 0. Calculate j.
-1, 0, 1, 3
Let o(a) be the first derivative of -a**6/90 - 7*a**5/240 + a**4/48 - 8*a**3/3 - 6. Let l(w) be the third derivative of o(w). Solve l(h) = 0 for h.
-1, 1/8
Let f(k) be the third derivative of -5/24*k**4 - 11/60*k**5 - 29/360*k**6 - 1/70*k**7 - 2*k**2 + 0*k + 0 - 1/9*k**3. Solve f(w) = 0.
-1, -2/9
Let b(j) be the second derivative of 4*j - 3/20*j**5 + 0*j**3 + 0*j**4 + 0 - 1/10*j**6 + 0*j**2. Suppose b(d) = 0. What is d?
-1, 0
Let b(j) be the first derivative of 0*j - 75/8*j**6 - 39/4*j**5 - 3*j**2 + 57/8*j**4 + 2 + 5*j**3. Let b(m) = 0. Calculate m.
-1, -2/3, 0, 2/5
Let -11/6*o - 1/6*o**3 + o**2 + 1 = 0. Calculate o.
1, 2, 3
Let f = -94 - -100. Let m(c) be the third derivative of -3*c**2 + 0 + 0*c**5 - 1/42*c**7 + 0*c**3 + 0*c**4 + 0*c + 1/60*c**f. Determine b, given that m(b) = 0.
0, 2/5
Let s(b) be the third derivative of 0 - 1/300*b**5 - 1/60*b**4 - b**2 - 1/30*b**3 + 0*b. Find m such that s(m) = 0.
-1
Let w(b) = 3*b**2 - 29*b - 77. Let j(c) = 2*c**2 - 28*c - 76. Let m(k) = 5*j(k) - 4*w(k). Suppose m(h) = 0. What is h?
-6
Let f = 8 - 6. Let c = 4 - f. Let 6*v**2 + 8*v**2 - c*v**3 - 12*v**2 = 0. Calculate v.
0, 1
Let n(r) be the first derivative of r**6/9 - 16*r**5/15 + 13*r**4/6 - 4*r**3/3 - 1. Let n(x) = 0. Calculate x.
0, 1, 6
Let r(c) be the second derivative of -c**5/130 - 5*c**4/26 - 25*c**3/13 - 125*c**2/13 - 3*c. Solve r(t) = 0.
-5
Suppose 1 + 14 = 5*u. Let n(b) be the second derivative of 1/36*b**4 - b + 1/60*b**5 + 0 + 0*b**2 + 0*b**u. Factor n(l).
l**2*(l + 1)/3
Let s(m) be the first derivative of -m**3 + 3*m - 7. Factor s(t).
-3*(t - 1)*(t + 1)
Factor 0 + 6/7*p**2 - 