 4/5*h.
-(h - 2)**2*(h + 1)**2/5
Suppose -y = -3*y. Suppose 5*o + 5 = y, -3*o = -4*g - 2*o + 25. Factor 2*k**2 + 3*k**2 + 2*k**2 - g*k - 5*k**2 - 8.
2*(k - 4)*(k + 1)
Let u(t) = 7*t**5 - 11*t**4 + 4*t**3 + 5*t**2 - 5. Let x(o) = -8*o**5 + 12*o**4 - 4*o**3 - 6*o**2 + 6. Let v(j) = -6*u(j) - 5*x(j). Solve v(z) = 0.
0, 1, 2
Let g(t) be the third derivative of 0 + 0*t**4 - 2/3*t**3 - 2*t**2 + 1/360*t**5 - 7/2160*t**6 + 0*t. Let h(p) be the first derivative of g(p). Factor h(y).
-y*(7*y - 2)/6
Let n(p) be the second derivative of p**7/56 + p**6/20 - 9*p**5/80 - p**4/4 + p**3/2 + 564*p. Factor n(d).
3*d*(d - 1)**2*(d + 2)**2/4
Factor 5*z**4 + 5*z**3 - 45*z**2 + 1190 - 1110 + 21*z - z - 15*z**2.
5*(z - 2)**2*(z + 1)*(z + 4)
Let j(r) = -9*r**2 - 53*r + 62. Let p(a) = -4*a**2 - 26*a + 30. Let n(c) = 3*j(c) - 7*p(c). Factor n(q).
(q - 1)*(q + 24)
Let k(d) be the first derivative of -2*d**3/27 + 4*d**2/9 - 2*d/3 + 70. Determine a, given that k(a) = 0.
1, 3
Let k(i) = i**2 - 23*i + 22. Let l be k(18). Let p = l - -139/2. Factor p*x**3 + 3/2*x**4 + 0*x**2 + 0*x + 0.
3*x**3*(x + 1)/2
Let h = -12505/3 + 4169. Let 0*j**2 + 4/3*j**3 - 4/3*j + 2/3*j**4 - h = 0. Calculate j.
-1, 1
Suppose 2*d = -3*d + 10. Find b, given that 4*b**3 - 28*b + 34*b + 6*b**2 + d - 2*b**3 = 0.
-1
Find n, given that 48*n + 80*n**2 + 573*n**5 + 563*n**5 - 1135*n**5 + 15*n**3 - 14*n**4 + 2*n**3 = 0.
-1, 0, 4, 12
Let z(g) be the second derivative of g**5/20 - 41*g**4/2 + 3362*g**3 - 275684*g**2 - 10*g + 10. Let z(m) = 0. Calculate m.
82
Let j(t) be the second derivative of 2*t**7/21 + 5*t**6/24 + t**5/12 + 11*t**2/2 + 5*t. Let p(g) be the first derivative of j(g). What is y in p(y) = 0?
-1, -1/4, 0
Let p(j) be the third derivative of 1/40*j**6 + 1/2*j**4 + 0*j + 0 + 1/5*j**5 + j**2 + 0*j**3. Let p(i) = 0. Calculate i.
-2, 0
Let y = 5/174 - -41/87. Let z(x) be the second derivative of 0 - 3/2*x**2 - 3/20*x**5 - 6*x + y*x**3 + 1/4*x**4. Factor z(j).
-3*(j - 1)**2*(j + 1)
Let i(n) be the third derivative of -n**5/75 + 2*n**4/3 + 14*n**3/5 + 7*n**2 - 3*n. Find m such that i(m) = 0.
-1, 21
Factor -o**2 + 11*o + 45 + 37*o - 4*o.
-(o - 45)*(o + 1)
Suppose r**2 + 5/2*r + 1/2*r**5 - 3*r**3 + 1/2*r**4 - 3/2 = 0. Calculate r.
-3, -1, 1
Let s be ((-76)/114)/((-5)/10). Solve 8/3*i**3 + s + 22/3*i + 26/3*i**2 = 0.
-2, -1, -1/4
Let k(r) be the third derivative of -r**5/75 + r**4/5 - 16*r**3/15 - 299*r**2. Suppose k(v) = 0. Calculate v.
2, 4
Determine r so that -1/2*r**3 + 0 + 2*r**2 + 0*r = 0.
0, 4
Suppose -5*w + 17 = -4*d, 3*w + 2*w - d - 23 = 0. Suppose 20 = a + 4*a, 0 = 3*b - w*a + 11. Let 0*n**b + 0 + 0*n + 1/3*n**4 - 1/3*n**2 = 0. What is n?
-1, 0, 1
Let y(o) be the second derivative of -o**6/10 + 3*o**5/2 - 33*o**4/4 + 18*o**3 + 137*o. Factor y(k).
-3*k*(k - 4)*(k - 3)**2
Factor -1 - 24*s**2 - 6 - 10*s + 1 + 35*s.
-(3*s - 2)*(8*s - 3)
Let l(m) be the third derivative of -49*m**6/40 - 14*m**5/5 - 2*m**4 + 20*m**2 - 3*m. Factor l(u).
-3*u*(7*u + 4)**2
Suppose 3*u = -2*u. Let n = 1 - u. Factor n + 0 - 2 - 6*d**2 + 5 + 10*d.
-2*(d - 2)*(3*d + 1)
Factor -808*f - 3*f**2 + 1571*f - 811*f + 51.
-3*(f - 1)*(f + 17)
Let q = -16 - -26. Suppose q = -0*s + 5*s. Solve 0*r**4 - 6*r - 7*r**2 - 2*r**s - r**4 + 4*r**4 = 0 for r.
-1, 0, 2
Let c(o) be the first derivative of -7*o**6/18 + 26*o**5/15 + 85*o**4/12 + 64*o**3/9 + 2*o**2 - 292. Solve c(i) = 0.
-1, -2/7, 0, 6
Let -7*v**2 + 0 - 1/2*v**3 + 15/2*v = 0. What is v?
-15, 0, 1
Let h(s) be the third derivative of -s**6/180 + s**5/60 + 4*s**3/3 - 4*s**2. Let f(m) be the first derivative of h(m). Factor f(i).
-2*i*(i - 1)
Suppose -640*g**3 + 10*g + 2*g + 264*g**2 - 384*g**4 - 39 + 31 = 0. What is g?
-2, -1/6, 1/4
Let f(c) be the third derivative of 15/8*c**4 - 20*c**2 - 25/2*c**3 + 9/20*c**5 + 1/40*c**6 + 0*c + 0. Solve f(j) = 0 for j.
-5, 1
Let m = 243 - 240. Let s(h) be the first derivative of -h**m + 3/2*h**2 + 1/4*h**4 + 7 - h. Factor s(q).
(q - 1)**3
Find l, given that 0 + 0*l - l**2 - 1/2*l**3 = 0.
-2, 0
Let k(i) be the first derivative of -i**7/280 + i**6/360 + i**5/10 - i**4/6 - 10*i**3/3 - 33. Let d(a) be the third derivative of k(a). Factor d(z).
-(z - 2)*(z + 2)*(3*z - 1)
Let z(d) be the second derivative of -d**6/9 - 83*d**5/30 + 17*d**4/9 + 3*d + 18. Factor z(v).
-2*v**2*(v + 17)*(5*v - 2)/3
Factor 0*f**2 - 116/5*f**4 + 0*f + 0 + 4/5*f**5 + 112/5*f**3.
4*f**3*(f - 28)*(f - 1)/5
Suppose -2*c - 202*k - 8 = -198*k, 6 = -2*k. Factor 6 - 16/9*h**3 - 12*h + 8*h**c.
-2*(2*h - 3)**3/9
Let q(c) be the third derivative of -c**6/630 + c**5/70 - c**4/21 + 19*c**3/6 + 2*c**2. Let d(b) be the first derivative of q(b). Solve d(n) = 0 for n.
1, 2
Let w(p) = p**2 + 5*p - 25. Let x be w(-10). Factor -x*s**2 - 7*s**4 - 291*s - 38*s**4 + 301*s - 80*s**3.
-5*s*(s + 1)**2*(9*s - 2)
Let t = 920 - 918. Factor -14/9*g**t + 2/3*g + 8/9.
-2*(g - 1)*(7*g + 4)/9
Let h(k) be the second derivative of -k**4/12 - 16*k**3/3 + 105*k**2/2 - k + 626. Factor h(c).
-(c - 3)*(c + 35)
Let c(o) = -o**2 + o - 3. Let m(j) = -12*j**2 + 84*j + 192. Let a(x) = 16*c(x) - m(x). Find r, given that a(r) = 0.
-12, -5
Suppose 0 = z - 4*m - 9 - 5, -5*m - 25 = -5*z. Let v be z + (-2 - ((-128)/60 - -2)). Let -2/15*l**3 + 0*l + 0 + v*l**2 = 0. What is l?
0, 1
Suppose 40/11*p**4 + 100/11 + 546/11*p**2 - 430/11*p - 256/11*p**3 = 0. Calculate p.
2/5, 1, 5/2
Let g be (-6)/(-4)*(-12)/(-9). Let o be ((-1)/g)/(1/(-8)). Factor 2*s**2 - s - 13*s**4 + s**5 + 15*s**o - 4*s**4.
s*(s - 1)**3*(s + 1)
Let l(h) be the first derivative of -h**6/2 + 6*h**5/5 - 2*h**3 + 3*h**2/2 + 402. What is x in l(x) = 0?
-1, 0, 1
Suppose -578/3 + 34/3*d - 1/6*d**2 = 0. Calculate d.
34
Let y(x) be the first derivative of x**7/2310 - x**6/660 + x**4/132 - x**3/66 + 3*x**2 - 7. Let m(r) be the second derivative of y(r). Solve m(p) = 0 for p.
-1, 1
Let q be (21/28)/(1305/120 + -9). Factor 0 + 24/5*y + q*y**2.
2*y*(y + 12)/5
Let x(o) be the third derivative of 0 + 0*o + 4/27*o**4 - 25*o**2 - 19/135*o**5 + 7/270*o**6 + 8/27*o**3. Factor x(r).
4*(r - 2)*(r - 1)*(7*r + 2)/9
Let m(j) = 94*j**2 - 41*j. Let g(w) = 0 + 0 + 19*w**2 - 16*w + 8*w. Let r(l) = 2*l + 6. Let k be r(-4). Let o(b) = k*m(b) + 11*g(b). Factor o(z).
3*z*(7*z - 2)
Let k(d) be the second derivative of d**5/150 - d**4/9 + 5*d**3/9 - 50*d - 1. Factor k(t).
2*t*(t - 5)**2/15
Let u(g) be the second derivative of g**4/15 - 194*g**3/15 + g + 51. Let u(y) = 0. What is y?
0, 97
Suppose 30/7*p**2 + 2/7*p**3 + 18*p + 14 = 0. Calculate p.
-7, -1
Let b = 20 - 14. Suppose 4*f + 4 = 4*i, -b = -5*f - 2*i + 10. Factor 5 + 20*o**2 + 11*o**2 + 81*o**5 - 54*o**3 - 81*o**4 + 21*o - f - o**2.
3*(o - 1)**2*(3*o + 1)**3
Let s(m) = 38*m. Let y be s(-1). Let d = 420/11 + y. Factor -d*p**3 - 4/11*p + 0 + 6/11*p**2.
-2*p*(p - 2)*(p - 1)/11
Let m(c) = -c**2 - 6*c - 3. Let k be m(-4). Let u(v) be the first derivative of -5*v**2 + 12*v + 4*v**3 - v**2 - 3*v**3 - k. Determine i, given that u(i) = 0.
2
Let d(v) be the second derivative of -v**7/63 - 2*v**6/5 + 19*v**5/30 - 190*v. Factor d(x).
-2*x**3*(x - 1)*(x + 19)/3
Let n = 264 + -790/3. Find r such that n*r + 1/3 + 1/3*r**2 = 0.
-1
Let z(b) = -3*b + 52. Let t be z(0). Solve -25*w + 3 + w**2 - 4*w**2 + t*w - 28*w + w**3 = 0.
-1, 1, 3
Solve 8*l**2 + 27*l**2 + l - 27 - 38*l**2 + 29*l = 0 for l.
1, 9
Let u(d) = -8*d**3 + 158*d**2 - 3*d + 3. Let i(p) = -6*p**3 + 158*p**2 - 2*p + 2. Let c(q) = 3*i(q) - 2*u(q). Factor c(n).
-2*n**2*(n - 79)
Factor -5*g**2 - 16*g + 2*g**2 + 5*g**2 + 30.
2*(g - 5)*(g - 3)
Let f(u) be the second derivative of 3*u**7/280 - u**6/24 + u**5/40 + u**4/8 + 11*u**3/6 - 8*u. Let q(c) be the second derivative of f(c). Factor q(t).
3*(t - 1)**2*(3*t + 1)
Suppose 3*c - 1 = -5*w, 0*c - 2*w - 12 = -5*c. Suppose -o - 243 = -257. Let -3 - 4 + c*x**2 + 6*x**2 - o*x + 3 = 0. Calculate x.
-1/4, 2
Factor 8/3 + 5/3*o - 1/6*o**3 - 7/6*o**2.
-(o - 2)*(o + 1)*(o + 8)/6
Factor -20*p + 2/3*p**3 + 26/3*p**2 + 0.
2*p*(p - 2)*(p + 15)/3
Let t(s) = -24*s - 526. Let j be t(-22). Let n(o) be the first derivative of 4 - 1/2*o**j + 1/6*o**3 - 3/2*o. Suppose n(f) = 0. Calculate f.
-1, 3
Let b = -1155 + 1157. Let m(d) be the third derivative of -1/56*d**4 + 0*d - 8*d**b + 0 - 3/140*d**5 - 1/490*d**7 + 0*d**3 - 3/280*d**6. Solve m(l) = 0 for l.
-1, 0
Let s = -28 + 27.