mine h so that r(h) = 0.
-2/5, 0, 5
Suppose -4*g + 15 = 3*w, 2*w + 6*g - 3*g = 11. Suppose 11*k + 1 = w. Let 0 + 0*z**2 + 0*z - 2/3*z**4 + 1/3*z**5 + k*z**3 = 0. Calculate z.
0, 2
Let w = -27753/7 + 3967. Let a be 4/8*64/14. Factor a*l + w*l**2 + 4/7.
4*(2*l + 1)**2/7
Let r(z) be the second derivative of -14/15*z**3 - 1/30*z**4 + 0 - 49/5*z**2 + 8*z. Factor r(u).
-2*(u + 7)**2/5
Let y(v) = 5*v**3 - 2*v**2 - 12*v. Let u(z) = -z**3 + z**2 + z. Let p(j) = 12*u(j) + 3*y(j). Solve p(a) = 0 for a.
-4, 0, 2
Let l(x) be the second derivative of -x**6/70 + 177*x**5/35 - 3481*x**4/7 + 760*x. Solve l(h) = 0.
0, 118
Suppose -3*s + 798 + 93 = 5*i, -2*i - s + 357 = 0. Factor 5*v**2 + 20*v + i - 13*v + 53*v.
5*(v + 6)**2
Suppose -3*i + 2*i = -8. Factor -6*d**2 + 16 - 4*d**3 + 2*d**4 + 19 - 27 + i*d.
2*(d - 2)**2*(d + 1)**2
Factor -14/11*q + 0 + 2/11*q**3 + 12/11*q**2.
2*q*(q - 1)*(q + 7)/11
Let q(n) be the second derivative of -n**6/30 + 2*n**5/15 - n**4/6 + 5*n**2 + 14*n. Let g(a) be the first derivative of q(a). Find h, given that g(h) = 0.
0, 1
Let c(q) be the first derivative of -q**5/40 - q**4/12 + 4*q - 3. Let r(n) be the first derivative of c(n). Solve r(o) = 0 for o.
-2, 0
Let c(r) be the first derivative of -r**6/4 + 9*r**5/5 + 9*r**4/8 - 28*r**3 + 36*r**2 + 807. Solve c(t) = 0.
-3, 0, 1, 4
Let v be (-5)/(-55 + -5)*-3*6/(-6). Factor -i + 1 + v*i**2.
(i - 2)**2/4
Let a(g) = g**2 + 4*g + 2. Let p(v) = 3*v + 11. Let j be p(-5). Let h be a(j). Solve -i**2 + 16 + 3*i**2 - 6*i**h = 0 for i.
-2, 2
Suppose -4*p + 3*m = -0*m - 14, 10 = 5*m. Let g be 6*(-2)/(-90)*3*p. Let 1/8*d + 1/4*d**g + 0 + 1/8*d**3 = 0. Calculate d.
-1, 0
Let g be 12/30 - (-122)/(-5). Let x be 18/48 - 39/g. Factor z**3 - 3*z**3 + x*z**5 + 10*z**4 - 4*z**5 - 14*z**4.
-2*z**3*(z + 1)**2
Let l = -6/397 + 2039/3573. Let z(x) be the first derivative of -1/4*x**4 - 6 - x - l*x**3 + 11/6*x**2. Factor z(y).
-(y - 1)*(y + 3)*(3*y - 1)/3
Let u(h) be the second derivative of -h**7/21 + 2*h**6/15 + 7*h**5/10 + 2*h**4/3 + 26*h. Find j such that u(j) = 0.
-1, 0, 4
Let l be (-28)/(-8)*54/21. Factor 17*v**3 + l*v**3 - 2*v**4 - 3 - 6*v + 5*v**4 - 20*v**3.
3*(v - 1)*(v + 1)**3
Let f = -107/2 - -70. Let p(m) be the first derivative of 0*m + 10*m**3 + 8*m**5 - 4 + f*m**4 + 2*m**2. Determine b, given that p(b) = 0.
-1, -2/5, -1/4, 0
Let y = -31572153/355 + 88936. Let i = 3/71 + y. Find b, given that 0*b**2 + 1/5*b**3 - 3/5*b - i = 0.
-1, 2
Solve 16*m**4 - 16 - 88*m**3 + 28 - 28 - 134*m - 303*m**2 = 0.
-2, -1/4, 8
Let h(q) be the third derivative of -q**7/7 + 5*q**6/24 + q**5/12 + 42*q**2 - 3. Find p such that h(p) = 0.
-1/6, 0, 1
Suppose 5*a + 20 = -4*p, -3*p - 23 + 43 = -5*a. Solve -2/21*v**3 + 0*v**2 - 2/7*v**5 + 8/21*v**4 + 0 + p*v = 0 for v.
0, 1/3, 1
Solve 25*m**3 + 3 - 4*m**2 - 3 + 48*m**2 - 21*m**3 = 0 for m.
-11, 0
Let k = -97 - -142. Let z be (-35)/k*-3 + 2/(-6). Suppose 9/2*g**z + 0 + g + 9/2*g**3 = 0. Calculate g.
-2/3, -1/3, 0
Let j be (3/2)/((5/(-30))/(-1)). Let o = j - 9. Factor -3/5*l**2 + o + 1/5*l.
-l*(3*l - 1)/5
Suppose -4*z + 13 = -m - 0*m, 4*z + 3*m + 7 = 0. Let d(b) = 5*b + 37. Let o be d(-7). Suppose -6*t + 7*t**3 + o*t - 2*t**5 + t**3 - z*t**5 = 0. Calculate t.
-1, 0, 1
Let k be (-7)/(14/8) + 20. Suppose 3*b - k = -l, 8 = b - 3*l + 6*l. Suppose -5*s**2 - s + 7*s**3 - 3*s + 1 - 4*s**3 + b*s = 0. Calculate s.
-1/3, 1
Let x(w) be the first derivative of -6/5*w**5 - 9*w - 39/2*w**2 + 16 - 33/4*w**4 - 19*w**3. Solve x(a) = 0 for a.
-3, -1, -1/2
Let o(g) = g**3 - 37*g**2 - 37*g - 35. Let a be o(38). Let j(w) be the second derivative of 1/54*w**4 + 1/3*w**2 + 4/27*w**a + 5*w + 0. Factor j(b).
2*(b + 1)*(b + 3)/9
Let d be (1/5 + -1)/(6/(-15)). Let x be -3 + (d/(-6) - 209/(-33)). Determine m, given that -6/5 + 0*m**2 - 3/5*m**x + 9/5*m = 0.
-2, 1
Let q = 1/43 - -83/129. Let u(v) be the second derivative of 0 + 7*v + q*v**4 + 0*v**2 + 0*v**3 + 6/5*v**6 - 11/5*v**5. Factor u(n).
4*n**2*(n - 1)*(9*n - 2)
Suppose -216*k + 207*k = -8 - 19. Factor -9/4 - 3/4*u - 1/4*u**k + 5/4*u**2.
-(u - 3)**2*(u + 1)/4
Let o(u) = 6*u**4 + 3*u**3 - 19*u**2 + 10*u - 4. Let h(b) = 6*b**4 + 3*b**3 - 18*b**2 + 9*b - 3. Let s(f) = -4*h(f) + 3*o(f). Factor s(k).
-3*k*(k - 1)*(k + 2)*(2*k - 1)
Let w(y) be the first derivative of 0*y + 1/15*y**3 - 3/25*y**5 - 1/15*y**6 + 0*y**4 + 0*y**2 - 15. Let w(s) = 0. What is s?
-1, 0, 1/2
Let f(t) = -263*t + 1054. Let c be f(4). Suppose 9/2*q**3 - 4*q - 2 + 3/2*q**c = 0. What is q?
-2/3, 1
Let w(a) = 2*a**4 + 88*a**3 - 36*a**2 + 9*a. Let k(s) = -s**4 - s**3 - 2*s**2 + s. Let n(m) = 36*k(m) - 4*w(m). Factor n(c).
-4*c**2*(c + 9)*(11*c - 2)
Factor -431*q**2 - 335*q**2 - 729*q - q**4 + 53*q**3 + 91*q**2.
-q*(q - 27)**2*(q + 1)
Let o be (-17)/(-5) + 6/10. Suppose -o*w - 3*a - a = -44, w + 5*a - 23 = 0. Suppose -4*i - w*i**2 - 5*i + 3*i + 28*i**3 - 16*i**4 + 2*i = 0. What is i?
-1/4, 0, 1
Let t be 4/34 - 2/17. Factor t*g**2 - 21*g**4 - 15*g**5 + 5*g**3 + 10*g**2 + g**4.
-5*g**2*(g + 1)**2*(3*g - 2)
Let q be 0 - (7 - (3 + -5)). Let j = q + 11. Let w(d) = -11*d**2 - 23*d - 7. Let y(x) = -5*x**2 - 11*x - 4. Let b(p) = j*w(p) - 5*y(p). Factor b(g).
3*(g + 1)*(g + 2)
Let f(u) be the first derivative of u**5/5 - 5*u**4/4 + 2*u**3 - 280. Factor f(x).
x**2*(x - 3)*(x - 2)
Factor -225/2*i**4 + 34*i - 2 + 255*i**3 - 349/2*i**2.
-(i - 1)**2*(15*i - 2)**2/2
Let y(m) be the second derivative of -m**4/20 - 201*m**3/5 - 121203*m**2/10 - 3*m - 7. Factor y(g).
-3*(g + 201)**2/5
Suppose -a - 38 = -40. Let d(i) be the first derivative of 2/9*i**3 - 1 + 0*i + 0*i**a - 1/9*i**4 - 2/45*i**5. Factor d(k).
-2*k**2*(k - 1)*(k + 3)/9
Let d = -211 + 404. Find o, given that 15*o**3 + 15*o**2 - 99*o + d*o - 89*o + 5*o**4 = 0.
-1, 0
Suppose -124*t - 1430 = -129*t. Factor 291*p**4 + 4*p**2 + 10*p**3 + 6*p - 579*p**4 + t*p**4 - 18*p**2.
-2*p*(p - 3)*(p - 1)**2
What is k in 27 + 28*k + 3*k - k + 3*k**2 + 0*k**2 = 0?
-9, -1
Factor 62 - 5*g**2 - 152 - 320 - 90 + 505*g.
-5*(g - 100)*(g - 1)
Let h(z) be the third derivative of z**8/2240 + z**7/168 + 7*z**6/240 + 3*z**5/40 + z**4/12 + 16*z**2. Let d(f) be the second derivative of h(f). Factor d(q).
3*(q + 1)**2*(q + 3)
Let g(n) = 2*n**2 + 2*n + 2. Let i(a) = a**3 + 15*a**2 + 20*a + 6. Let o(m) = 15*g(m) - 5*i(m). Factor o(s).
-5*s*(s + 2)*(s + 7)
Let p(g) be the second derivative of 0 + 1/4*g**4 + 2*g + 1/2*g**3 - 3*g**2. Factor p(s).
3*(s - 1)*(s + 2)
Let o(s) be the second derivative of -1/25*s**5 + 0*s**2 - 5*s + 0*s**3 - 1/15*s**4 + 0. Let o(r) = 0. Calculate r.
-1, 0
Let v(o) be the second derivative of -o**6/1020 - 7*o**5/510 - 11*o**4/204 - 5*o**3/51 + 6*o**2 - 59*o. Let t(n) be the first derivative of v(n). Factor t(p).
-2*(p + 1)**2*(p + 5)/17
Let v(m) = 2*m**5 + 3*m**4 - 6*m**3 + m**2 + 3*m + 3. Let i(n) = 3*n**5 + 2*n**4 - 5*n**3 + 4*n + 4. Let g(w) = 3*i(w) - 4*v(w). Factor g(s).
s**2*(s - 4)*(s - 1)**2
Let f = 337 + -332. Let s(w) be the third derivative of 2/3*w**4 - 4/15*w**f + 0*w + 0 + 2*w**2 + 0*w**3 + 1/30*w**6. Find b, given that s(b) = 0.
0, 2
Let p(x) be the first derivative of x**3/7 - 9*x**2/7 - 3*x + 75. Find k such that p(k) = 0.
-1, 7
Factor -50*j**3 + 20*j**3 + 28*j**3 - 4*j**2 + 2*j**5 + 4*j**4.
2*j**2*(j - 1)*(j + 1)*(j + 2)
Let m(b) be the second derivative of b**6/10 + 9*b**5/4 - 37*b**4/4 - 51*b**3/2 + 589*b. Factor m(c).
3*c*(c - 3)*(c + 1)*(c + 17)
Let y(b) = -3*b**2 - 33*b - 12. Let z = -46 + 21. Let o = 13 + z. Let t(i) = -i**2 - 13*i - 5. Let q(l) = o*t(l) + 5*y(l). Suppose q(u) = 0. What is u?
-3, 0
Let y be 39 + (-17728)/448 - 4/(0 + -2). Factor -y*m**2 - 8 + 144/7*m.
-2*(m - 14)*(5*m - 2)/7
Let n(j) be the first derivative of j**4/16 + 2*j**3/3 + 21*j**2/8 + 9*j/2 - 206. Factor n(m).
(m + 2)*(m + 3)**2/4
Let f(o) = -4*o - 40. Let n = 146 - 156. Let u be f(n). What is b in -2/11*b**2 + 4/11*b**3 - 2/11*b**4 + u + 0*b = 0?
0, 1
Let c(b) be the second derivative of -b**6/30 - 3*b**5/5 - 13*b**4/3 - 16*b**3 - 32*b**2 + 159*b. Factor c(p).
-(p + 2)**2*(p + 4)**2
Suppose -2*y + 3*n = -7, -5*n - 14 - 1 = -4*y. Let b be y*(3 - (-24)/(-10)). Solve -5*z**b + 4*z**5 + 16 - 7*z**2 + 12*z**4 - 21*z**2 + z**3 = 0 for z.
-2, -1, 1
Find w, given that 0*w**4 - 1314*w**2 - 1587 + 110*w**3 + 8*w**3 - 3012*w - 3*w**4 + 14*w**3 - 24*w = 0.
-1, 23
Let b