4*r, -2*r - 10 = -h. Let a be (1/(-8)*r)/(57/152). Find t such that 0 - 2*t**a + 0*t + 2*t**3 - 1/2*t**4 = 0.
0, 2
Let b(l) be the second derivative of l**4/8 + 25*l**3 + 1875*l**2 - 448*l. Factor b(w).
3*(w + 50)**2/2
Let i(b) = -3*b**4 + 37*b**3 - 24*b**2 - 5*b - 5. Let t(j) = -12*j**4 + 150*j**3 - 96*j**2 - 21*j - 21. Let k(a) = 21*i(a) - 5*t(a). Factor k(d).
-3*d**2*(d - 8)*(d - 1)
Suppose 12 = -20*l + 23*l. Let -24*j**4 - 27*j**l + 52*j**4 = 0. Calculate j.
0
Let y(f) be the second derivative of 0 + 0*f**2 + 2/75*f**6 + 3/25*f**5 + 9*f + 2/15*f**3 + 1/5*f**4. Suppose y(m) = 0. What is m?
-1, 0
Let x be 1/(-2)*-2 + -40 + -15 + 60. Factor -x*n + 1/4*n**4 - 2*n**3 + 9/4 + 11/2*n**2.
(n - 3)**2*(n - 1)**2/4
Factor 0 + 6*a - 5/3*a**2.
-a*(5*a - 18)/3
Let r(k) be the second derivative of 0*k**4 + 0 + 7*k - 2/3*k**2 + 7/27*k**3 - 1/90*k**5. Factor r(c).
-2*(c - 2)*(c - 1)*(c + 3)/9
Let j(b) = 2*b**3 - b**2. Let o be j(3). Let m be 6 + -2 + (0 - 0). Factor -2*t**m - o*t**3 + 13*t**4 - 3*t - 38*t**4 - 21*t**2.
-3*t*(t + 1)*(3*t + 1)**2
Suppose 2*a = 3*a. Let d be 0 - (12 + a)/(-4). Factor 9*j**3 + 0*j - 3*j**4 + 0*j + d*j + 0*j - 9*j**2.
-3*j*(j - 1)**3
Let h(s) be the second derivative of -10*s + 1/165*s**6 - 4/33*s**3 + 5/11*s**2 - 1/11*s**4 + 0 + 2/55*s**5. Determine z, given that h(z) = 0.
-5, -1, 1
Let b be 55/5 + 55/(-5). Factor 1/4*i**5 + 0*i**4 - 1/2*i**2 - 3/4*i**3 + b + 0*i.
i**2*(i - 2)*(i + 1)**2/4
Let s = -16315 - -16318. Let 0 + 2/13*w**5 + 0*w + 8/13*w**2 + 4/13*w**4 - 14/13*w**s = 0. What is w?
-4, 0, 1
Factor -200/7 + 40/7*w - 2/7*w**2.
-2*(w - 10)**2/7
Suppose -5*l**3 + 2*l**2 - 9*l**3 + 15*l**3 - 8*l**2 + 5*l = 0. What is l?
0, 1, 5
Let m(a) = 7*a**5 + 7*a**4 + 5*a + 5. Let n(s) = 3*s**5 + 4*s**4 + 2*s + 2. Let x(t) = -4*m(t) + 10*n(t). Determine p, given that x(p) = 0.
-6, 0
Let j be (-12)/(-910)*13*1*(-1 + 11). Find w, given that 4/7*w**2 + j - 16/7*w = 0.
1, 3
Factor -2*m**3 - 12*m - 9*m + 10 - m + 34*m**2 - 20*m**2.
-2*(m - 5)*(m - 1)**2
Let z(u) be the first derivative of -3*u**5/10 - 3*u**4/4 - 4*u**3/9 + u**2/6 + u/6 - 210. Solve z(w) = 0 for w.
-1, -1/3, 1/3
Let x(m) be the second derivative of m**5/40 + 5*m**4/4 + 16*m**3 - 128*m**2 + 3*m + 11. Solve x(l) = 0 for l.
-16, 2
Suppose 0 = -v - 5*v + 18. Factor -31*d**3 + 32*d**v - d**2 - 3*d**4 - d**5 + 4*d**4.
-d**2*(d - 1)**2*(d + 1)
Let k(o) = 2*o**2 - 7. Let u(p) = 2*p + 7. Let m be u(-6). Let w(f) be the first derivative of -f**3 + 10*f - 28. Let z(r) = m*w(r) - 7*k(r). Factor z(y).
(y - 1)*(y + 1)
Let j be 6 - (1 + 4/4). Suppose -11*r = -j*r - 14. Factor -8*i - 11*i**r + 4*i - i**3 + 6*i**2.
-i*(i + 1)*(i + 4)
Let h(j) = 4*j**2 + 9*j - 9. Let p(t) = 5*t**2 - t. Let w(q) = -h(q) + p(q). Let w(x) = 0. Calculate x.
1, 9
Let h(y) be the second derivative of -y**6/150 + 3*y**5/50 + y**4/60 - y**3/5 - 146*y. Let h(n) = 0. Calculate n.
-1, 0, 1, 6
Let s(w) be the second derivative of -w**4/12 - w**3/2 - w**2 + 75*w + 2. Solve s(p) = 0.
-2, -1
Let x = -943871/140 + 6742. Let y(r) be the third derivative of 1/56*r**6 - 1/7*r**3 + 1/8*r**4 - 3*r**2 + 0*r - 1/490*r**7 - x*r**5 + 0. Factor y(d).
-3*(d - 2)*(d - 1)**3/7
Factor 83*w + 9 + 3*w**4 - 126*w + 6*w**3 + 37*w - 12*w**2.
3*(w - 1)**2*(w + 1)*(w + 3)
Let k(s) be the first derivative of -s**5/10 - s**4/4 + s**3/6 + s**2/2 - 86. Let k(y) = 0. Calculate y.
-2, -1, 0, 1
Suppose -34 = -9*p + 20. Factor 2*l**3 + 5 + 0*l - p*l - 9.
2*(l - 2)*(l + 1)**2
Factor 8*j**3 + 4/3*j + 0 - 28/3*j**2.
4*j*(j - 1)*(6*j - 1)/3
Let a(x) be the third derivative of -11*x**6/60 - 19*x**5/10 - 19*x**4/3 - 4*x**3 - 2*x**2 + 9. Factor a(k).
-2*(k + 2)*(k + 3)*(11*k + 2)
Determine a so that -1053/7*a**2 - 6/7 - 1059/7*a = 0.
-1, -2/351
Let x = -39 + 47. Let j be (-22)/(-8) - (-2)/x. Factor -8/3 + 2/3*l**4 + 2*l**2 - 8/3*l**j + 8/3*l.
2*(l - 2)**2*(l - 1)*(l + 1)/3
Let w(m) be the first derivative of 48 + m - 13/12*m**2 - 5/18*m**3. Find b such that w(b) = 0.
-3, 2/5
Suppose v + v = 3*x + 10, 0 = -3*x + 4*v - 14. Let m be (-3)/x - -5 - 6. What is t in 1/4*t + 1/4*t**3 + 0 - m*t**2 = 0?
0, 1
Let a(v) be the first derivative of -4*v**6/75 + 17*v**5/50 - 2*v**4/15 + 26*v - 7. Let n(u) be the first derivative of a(u). Solve n(y) = 0.
0, 1/4, 4
Let v = -40011 - -40011. Let n = 212/3 + -70. Suppose -2/3*h**3 + v + 2/3*h**4 + 2/3*h - n*h**2 = 0. What is h?
-1, 0, 1
Let q(d) be the second derivative of -39*d**5/80 - 41*d**4/16 - 4*d**3 - 3*d**2/2 - 2*d - 5. Let q(z) = 0. Calculate z.
-2, -1, -2/13
Let -271*j - 58*j**2 + 10658 - 21*j + 60*j**2 = 0. Calculate j.
73
Factor 132*q**3 + 3*q**4 + 6 + 21*q - 6 + 0*q**2 - 153*q**3 - 3*q**2.
3*q*(q - 7)*(q - 1)*(q + 1)
Suppose 66*f = 25*f. Let a(q) be the third derivative of 0*q**5 + 0*q + 1/112*q**8 + 0*q**3 + 0*q**7 + 2*q**2 + f*q**4 - 1/10*q**6 + 0. What is h in a(h) = 0?
-2, 0, 2
Let s(n) = -n**3 - 17*n**2 - n - 17. Let b be s(-17). Factor b + 2/15*i**2 - 2/15*i.
2*i*(i - 1)/15
Let z(o) = -o**2 - 5*o + 3. Let d(m) = 5 - 10*m + 4*m**2 - m**2 - m**2 - 4*m**2. Let v(k) = -3*d(k) + 5*z(k). Factor v(j).
j*(j + 5)
Let p(u) = -20*u**2 - 40*u + 5. Let o(s) = s**3 + s - 25. Let n be o(0). Let r(h) = 5*h**2 + 10*h - 1. Let c(g) = n*r(g) - 6*p(g). Find a such that c(a) = 0.
-1
Let h be 8/5 + (-18)/(-45). Factor -2*y - y + 7*y - 4*y**2 + h + 6.
-4*(y - 2)*(y + 1)
Let j = 18/37 + -215/518. Let f(i) be the second derivative of 0*i**3 - 1/4*i**4 - j*i**7 - 3/10*i**6 + 0*i**2 + 0 - 9/20*i**5 + 6*i. Factor f(y).
-3*y**2*(y + 1)**3
Let k(i) be the second derivative of i**8/16800 + i**7/900 + i**6/300 - 23*i**4/6 - 48*i. Let y(a) be the third derivative of k(a). Factor y(z).
2*z*(z + 1)*(z + 6)/5
Let n = -9 + 13. Factor 10*k**2 - k - 4*k**3 - 6*k**2 - 4*k**n + 5*k.
-4*k*(k - 1)*(k + 1)**2
Let l = 152506 + -17538036/115. Let o = l + -2/345. Solve o*n**2 + 2/3*n + 2/3*n**3 + 0 = 0 for n.
-1, 0
Let q(r) be the second derivative of -1/75*r**6 + 1/10*r**4 + 0 + 2/5*r**2 - 1/50*r**5 + 1/3*r**3 - 15*r. Factor q(b).
-2*(b - 2)*(b + 1)**3/5
What is c in 6 - 13*c + 1/3*c**4 + 29/3*c**2 - 3*c**3 = 0?
1, 2, 3
Let j = 106 + 255. Factor -397 + j + 9*d - 21*d**2 + 3*d**3 + 32*d + 7*d.
3*(d - 3)*(d - 2)**2
Suppose 8 = 4*x + 3*b, -3*x + 7*x = -2*b + 8. Let f be (-6)/(-99)*(1 + x). Factor 0*g + 0*g**3 - 2/11*g**2 + f*g**4 + 0.
2*g**2*(g - 1)*(g + 1)/11
What is j in -1444 - 3709*j**2 + 382*j**3 + 36*j**4 + 1840*j + 2644*j - 45*j**4 - 28*j**3 = 0?
2/3, 19
Let b(a) be the second derivative of -4/9*a**3 + 23*a + 1/12*a**4 + 2/3*a**2 + 0. Factor b(l).
(l - 2)*(3*l - 2)/3
Let t(d) be the second derivative of d**7/252 + d**6/180 - d**5/40 - d**4/72 + d**3/18 - d + 70. Factor t(u).
u*(u - 1)**2*(u + 1)*(u + 2)/6
Let a(h) be the second derivative of -h**5/10 + 3*h**4 - 17*h**3/3 - 4*h. Find c such that a(c) = 0.
0, 1, 17
Let s(v) be the second derivative of 0 - 1/16*v**4 + 35*v + 9/4*v**3 - 243/8*v**2. Factor s(j).
-3*(j - 9)**2/4
Let r(b) be the first derivative of -2*b**6/15 + 8*b**5/25 + 18*b**4/5 + 128*b**3/15 + 46*b**2/5 + 24*b/5 - 321. Suppose r(n) = 0. Calculate n.
-1, 6
Let d(j) be the first derivative of j**4/72 - j**3/18 + j**2/12 + 29*j + 27. Let f(y) be the first derivative of d(y). Factor f(q).
(q - 1)**2/6
Suppose 2*y - 9 + 5 = 0. Find o, given that -45*o**4 - o**3 + o**3 + 44*o**4 - o**2 + y*o**3 = 0.
0, 1
Suppose 0 = 4*i + 24, -5*t = -3*i + 32 - 75. Determine s so that 0 + 9/5*s**3 - 6/5*s + 3/5*s**4 - 3/5*s**2 - 3/5*s**t = 0.
-1, 0, 1, 2
Suppose 6*z - 20 = 70. Solve 0*y**2 + y - 20*y**4 + 5*y**3 - 6*y + 5*y**2 + z*y**4 = 0 for y.
-1, 0, 1
Let w(b) be the third derivative of -b**6/540 - 7*b**5/30 - 49*b**4/4 - 343*b**3 + b**2 + 30. Determine j so that w(j) = 0.
-21
Let d = 2/11471 + 172051/80297. What is x in 3/7*x**2 + 9/7 - d*x + 3/7*x**3 = 0?
-3, 1
Let m(j) be the third derivative of -7*j**6/480 + 3*j**5/80 - j**4/48 - 4*j**2 + 1. Let m(h) = 0. Calculate h.
0, 2/7, 1
Factor 76/3*n - 2/3*n**2 - 722/3.
-2*(n - 19)**2/3
Let g(z) be the first derivative of -2*z**3/3 - 15*z**2 + 161. Factor g(x).
-2*x*(x + 15)
Let d(t) = 9*t**3 - 44*t**2 + 44*t + 8. Let l(p) = 10*p**3 + 15*p + 4 - 1 - 7*p**3 - 15*p**2. Let k(q) = 6*d(q) - 17*l(q). Solve k(o) = 0.
1
Let l(p) = -7*p**3 - 4*p**2 + 23*p - 4. Let r(a) = 8*a**3 + 5*a**2 - 28*a + 5. Let o(b) = -5*l(