.
-2*(d + 1)*(d + 78)**2
Let v(z) be the second derivative of -z**6/360 + z**5/60 - z**4/24 - 5*z**3/3 + 11*z. Let i(a) be the second derivative of v(a). Factor i(h).
-(h - 1)**2
Factor 12*q + 1/2*q**3 - 9/2*q**2 - 8.
(q - 4)**2*(q - 1)/2
Let y(i) = -i**2 + 7*i + 10. Let t be y(8). Determine s, given that -51*s**2 + 55*s**2 - 3 + t*s - 1 - 2*s**3 = 0.
-1, 1, 2
Let s = -786 - -790. Let n(u) be the third derivative of -u**2 + 0*u**3 - 1/48*u**s + 0*u - 1/60*u**5 - 1/240*u**6 + 0. What is k in n(k) = 0?
-1, 0
Let u(d) be the third derivative of -d**7/20160 + d**6/2880 + 5*d**4/24 - 2*d**2. Let c(o) be the second derivative of u(o). Factor c(q).
-q*(q - 2)/8
Let l(g) be the first derivative of 0*g - 20 + 0*g**2 + 20/3*g**3 + 0*g**4 - g**5. Determine r so that l(r) = 0.
-2, 0, 2
Let x = -11 - -11. Let p be 1/(x + -3)*-18. Factor 2*f + 2*f**2 + p - 2*f**3 - 6 - 2*f**4.
-2*f*(f - 1)*(f + 1)**2
Let a be 24/32 + 146/8. Suppose 5*h + 4*c = a, 2*c - 1 = h - 2*c. Factor 4/7 + 8/7*p**2 - 10/7*p - 2/7*p**h.
-2*(p - 2)*(p - 1)**2/7
Determine s, given that 16/5*s**4 - 728/5*s**3 + 658/5*s + 1041/5*s**2 + 88/5 = 0.
-1/4, 2, 44
Let b(k) be the second derivative of 17*k**7/3360 + k**6/720 - 17*k**5/480 - k**4/48 + 35*k**3/6 - k. Let r(c) be the second derivative of b(c). Factor r(q).
(q - 1)*(q + 1)*(17*q + 2)/4
Let a(j) be the third derivative of -j**8/80640 + j**6/2880 - 7*j**5/60 - 4*j**2. Let q(t) be the third derivative of a(t). Factor q(w).
-(w - 1)*(w + 1)/4
Let t be (-2)/2*(-17)/(2992/128). Factor t*a**2 + 14/11*a - 4/11.
2*(a + 2)*(4*a - 1)/11
Let v(k) = 10*k**2 + 17*k + 7. Let q(t) = -30*t**2 - 49*t - 19. Let w(a) = 4*q(a) + 11*v(a). Factor w(n).
-(n + 1)*(10*n - 1)
Suppose 11*f - 2 + 2 = 23*f. Factor f*o**2 - 3/5*o**3 + 0 + 0*o.
-3*o**3/5
Let u(x) = 4*x**2 - 1. Let n(l) be the first derivative of -3*l**3 + l**2/2 + 3*l - 21. Let r(y) = 3*n(y) + 7*u(y). Factor r(d).
(d + 1)*(d + 2)
Factor -21 + 126 - 61 + 20*f - f**2.
-(f - 22)*(f + 2)
Suppose 3*r + 4*m + m = 100, m + 106 = 3*r. Let z be 3/(-6) - 194/(-4). Factor -r*d**3 + z*d**2 + 5 - 1 + 3*d**3 + 30*d.
-2*(d - 2)*(4*d + 1)**2
Let l be 17/3 + ((-1435)/1599 - (-9)/39). Factor 0*x + 0 + 972/13*x**4 - 1458/13*x**l + 16/13*x**2 - 216/13*x**3.
-2*x**2*(9*x - 2)**3/13
Let 12*l**3 - 3/2*l**5 - 24*l**2 + 3*l**4 + 48 - 24*l = 0. Calculate l.
-2, 2
Find c, given that 10*c**4 + 40*c - 800*c**3 - 2*c**5 - 26*c**4 + 0*c + 48 + 758*c**3 - 28*c**2 = 0.
-3, -2, 1
Solve -36 + 21/4*l**4 + 75/4*l**3 + 102*l + 1/4*l**5 - 361/4*l**2 = 0.
-12, 1
Find s, given that 0 - 24*s**3 + 2/5*s**5 - 42/5*s + 36/5*s**4 + 124/5*s**2 = 0.
-21, 0, 1
Let v(z) = -2*z - 7. Let s be v(-5). Suppose -181*d - 52 = -162 - 252. Factor 0 + 0*l + l**4 - 1/4*l**d - 3/4*l**s.
l**2*(l - 1)*(4*l + 1)/4
Suppose -1365 = -7*a + 2*a. Let o = a - 1359/5. Factor -18/5 - o*f + 2*f**2 - 2/5*f**3.
-2*(f - 3)**2*(f + 1)/5
Determine s so that 0 + 1/5*s**3 + 1/10*s**4 - 13/10*s**2 + s = 0.
-5, 0, 1, 2
Let b be 2/1 - (-2 + -29 + -2). Find i, given that -2 - 8*i**4 + b*i**2 - 7*i**4 - 44*i**3 + 49*i**3 - 18 - 5*i**5 = 0.
-2, -1, 1
Let u(k) be the second derivative of -k**5/60 + 5*k**4/24 - k**3 - 21*k**2/2 - 21*k. Let x(p) be the first derivative of u(p). Determine d, given that x(d) = 0.
2, 3
Let t be -3*110/(-9)*(-56)/(-3110). Let s = t + 2/311. Determine w, given that 1/3*w**3 - w**2 + s + 1/3*w**4 - 1/3*w = 0.
-2, -1, 1
Let u = -11 - -14. Let n = 8 - u. Solve -7*g**3 - 5*g**n + 12*g**2 + 12*g**4 + 2*g**5 - 11*g**3 - 3*g = 0 for g.
0, 1
Let j be ((-14)/(-20))/((7/(-658))/1). Let q = j - -67. Suppose 0*b - q*b**2 + 2/5 + 4/5*b**3 = 0. What is b?
-1/2, 1
Let r(g) = g**4 + 2*g**3 + g**2 + 3. Let k(j) = 5*j**4 + j**3 - j**2 + 147*j + 18. Let p(z) = k(z) - 6*r(z). Factor p(i).
-i*(i - 3)*(i + 7)**2
Let p(o) = -o**5 + o**4 + o**3 - o - 1. Let c(b) = -2*b**5 + 3*b**3 - b - 1. Let j be (-3)/(-9) - (-20)/(-15). Let q(w) = j*c(w) + p(w). Factor q(k).
k**3*(k - 1)*(k + 2)
Let u(j) be the second derivative of j**4/126 - 5*j**3/7 + 9*j - 5. Factor u(f).
2*f*(f - 45)/21
Let z(n) be the second derivative of -n**7/4200 - n**6/600 + 3*n**4/4 - 12*n. Let i(s) be the third derivative of z(s). Suppose i(w) = 0. Calculate w.
-2, 0
Let z(l) be the third derivative of 0*l + 3/40*l**6 - 1/2*l**3 + 0 + 5/8*l**4 + 11*l**2 - 7/20*l**5. Suppose z(p) = 0. What is p?
1/3, 1
Let f(x) = -x**3 - 2*x**2 - 5*x - 2. Let q be (-1)/(-4 - -4 - -1). Let w be f(q). Factor -2*p - w - 1/2*p**2.
-(p + 2)**2/2
Let k(b) be the second derivative of -b**5/5 + 5*b**4/3 - 8*b**3/3 - 107*b. Determine x so that k(x) = 0.
0, 1, 4
Let m(y) = -6*y**2 + 2*y. Let h(b) = 7*b**2 + b. Let u(q) = 7*q**2 + 2*q. Let s(o) = 5*h(o) - 4*u(o). Let n(v) = 5*m(v) + 6*s(v). Factor n(p).
4*p*(3*p - 2)
Let 2*x**4 - 6*x**2 + 4 - 4/3*x**3 + 5/3*x - 1/3*x**5 = 0. Calculate x.
-1, 1, 3, 4
Let i be (-3)/(-2) + (13 - (-69)/(-6)). Solve -g**4 + 1/2*g**i + g**2 + 0 + 0*g - 1/2*g**5 = 0 for g.
-2, -1, 0, 1
Let u(h) = h**5 + 44*h**4 + 114*h**3 + 136*h**2 + 81*h + 20. Let q(j) = -j**5 + j**4 + j**3 - j**2 - j. Let a(l) = -4*q(l) + u(l). Factor a(f).
5*(f + 1)**4*(f + 4)
Let n(j) be the second derivative of -1/10*j**6 + 9/10*j**5 + 26*j - 6*j**2 + 6*j**3 - 13/4*j**4 + 0. Factor n(l).
-3*(l - 2)**2*(l - 1)**2
Let g(s) be the second derivative of s**9/756 - s**7/105 + s**5/30 - 5*s**3/3 + 3*s. Let p(v) be the second derivative of g(v). Let p(f) = 0. Calculate f.
-1, 0, 1
Let s = -122/35 - -37/10. Let h(m) be the second derivative of 1/5*m**5 + 0*m**6 - s*m**7 + 0*m**4 - 4*m + 0*m**2 + 0*m**3 + 0. Factor h(k).
-k**3*(3*k - 2)*(3*k + 2)
Let c be -2*(-4)/(-30)*(-150)/400. Let h(d) be the second derivative of c*d**2 - 7*d + 1/15*d**3 + 0 + 1/60*d**4. What is m in h(m) = 0?
-1
Let z(f) = -f**2 + 5*f - 4. Let a be z(2). Solve -3*r**a + 6*r**2 + 6*r - 9 - 4*r**2 = 0.
3
Suppose -2*r = 5*k - 29, -4*r + 4*k - 8 - 4 = 0. Let l(m) be the first derivative of 3 + 3/4*m + 1/2*m**r + 1/12*m**3. Factor l(o).
(o + 1)*(o + 3)/4
Let k(d) be the first derivative of d**4/8 - 8*d**3/3 - 19*d**2 - 40*d - 198. Factor k(b).
(b - 20)*(b + 2)**2/2
Determine z so that -35/3 + 1/3*z**3 - 1/3*z + 35/3*z**2 = 0.
-35, -1, 1
Let l(a) be the third derivative of 2/21*a**3 + 0*a - 39*a**2 + 1/28*a**4 + 1/210*a**5 + 0. Determine u so that l(u) = 0.
-2, -1
Let x(c) = 5*c**3 + 51*c**2 + 90*c - 4. Let n(k) = -5*k**3 - 50*k**2 - 90*k + 5. Let u(m) = -4*n(m) - 5*x(m). Factor u(z).
-5*z*(z + 2)*(z + 9)
Let r(w) = -2*w**5 - 5*w**4 - 7*w**3 - w**2. Let i(l) = 3*l**5 + 7*l**4 + 8*l**3. Let h(o) = 3*i(o) + 4*r(o). Find d such that h(d) = 0.
-2, -1, 0, 2
Let w(r) be the second derivative of -1/60*r**4 - 6*r - 1/100*r**5 + 0*r**2 + 0 + 0*r**3. Factor w(q).
-q**2*(q + 1)/5
Let x(a) be the second derivative of -a**4/60 + a**3/30 + 36*a**2/5 + 338*a. Determine m, given that x(m) = 0.
-8, 9
Let q(j) be the first derivative of 1/3*j**6 - 3*j**2 + 0*j**5 - 3*j**4 + 11 + 0*j + 16/3*j**3. Factor q(p).
2*p*(p - 1)**3*(p + 3)
Let o(m) be the second derivative of -m**8/6720 + m**6/240 - m**5/60 + m**4/32 - m**3/2 - 6*m. Let h(t) be the second derivative of o(t). Factor h(z).
-(z - 1)**3*(z + 3)/4
Let q(r) be the third derivative of -r**5/240 + r**4/12 - 7*r**3/24 - 9*r**2 - 5. Let q(d) = 0. Calculate d.
1, 7
Let n(a) be the second derivative of -a**5/50 + a**4/3 - 9*a**3/5 + 18*a**2/5 + 10*a + 4. Factor n(x).
-2*(x - 6)*(x - 3)*(x - 1)/5
Let h = -31 - -35. Factor -5*i**3 + 10*i**3 + 2*i**2 - 7*i**3 + 2*i**5 - 2*i**h.
2*i**2*(i - 1)**2*(i + 1)
Let l(v) = 6*v**3 - 63*v**2 + 96*v + 99. Suppose 7 + 8 = -5*k. Let h(p) = -p**3 + p**2 + 1. Let z(x) = k*h(x) + l(x). Solve z(o) = 0 for o.
-2/3, 4
Let z(x) = 2*x**3 - 9*x**2 + 2*x + 5. Let p(f) = -2*f**3 + 8*f**2 - 2*f - 4. Let y(a) = 5*p(a) + 4*z(a). Factor y(w).
-2*w*(w - 1)**2
Let u(v) = -2*v - 1. Let y be u(-9). Suppose 5*d - l = -4*l + 5, 2*d + 5*l + y = 0. Factor -3*n**3 - 4 + 3*n**d + 5 - 1 - 3*n**2 + 3*n**5.
3*n**2*(n - 1)*(n + 1)**2
Let q(z) = -2*z + 75. Let j be q(0). Let k = -223/3 + j. Factor -k*s**2 + 1/3*s**3 + 0 + 1/3*s.
s*(s - 1)**2/3
Suppose -88 + 80 = -4*k. Let 4*h**4 + 3*h**2 - 26*h**3 + 4*h + 22*h**3 - 2*h**2 - 5*h**k = 0. Calculate h.
-1, 0, 1
Find j, given that 0*j**2 + 0*j + 0 + 1/2*j**4 + 37*j**3 = 0.
-74, 0
Let d(s) be the first derivativ