derivative of -a**5/30 - 131*a**4/6 - 17161*a**3/3 + 117*a**2. Determine w so that t(w) = 0.
-131
Let g(r) be the second derivative of 2*r**2 - 1/2*r**4 - 1/3*r**3 + 0 + 1/15*r**6 + 34*r + 1/10*r**5. Factor g(m).
2*(m - 1)**2*(m + 1)*(m + 2)
Let m(h) be the first derivative of -h**6/2 + 12*h**5/5 + 3*h**4 - 22*h**3 - 9*h**2/2 + 54*h + 7. Find a such that m(a) = 0.
-2, -1, 1, 3
Let b be ((-1)/(-3))/(2/6). Let p(f) = 3*f**2 + 3*f - 3. Let v be p(b). Factor 0*m - 1/2*m**2 + 1/2*m**v + 0.
m**2*(m - 1)/2
Suppose -50*q + 35*q**2 + 5/2*q**5 + 5/2*q**3 + 20 - 10*q**4 = 0. What is q?
-2, 1, 2
Let i = -49 - -89. Suppose i = 20*z - 0*z. Determine a so that -20/3*a - 2/3*a**z - 50/3 = 0.
-5
Let v(i) be the first derivative of -2*i**5/95 - 14*i**4/19 - 392*i**3/57 + 69. Factor v(a).
-2*a**2*(a + 14)**2/19
Let p be ((-50)/1400)/((-10)/6). Let x(a) be the second derivative of 0*a**2 + 11*a + 0*a**3 + 0*a**4 + 0 - p*a**5 + 1/70*a**6. Factor x(h).
3*h**3*(h - 1)/7
Let m(z) be the third derivative of z**7/735 - 3*z**6/70 + 47*z**5/210 - 5*z**4/14 + 302*z**2. Let m(t) = 0. Calculate t.
0, 1, 2, 15
Suppose -8 = -4*v + 4*h, 1 = 2*h - 1. Factor -3/4*i**v - 1/4*i**2 + 1/2 + 3/4*i - 1/4*i**4.
-(i - 1)*(i + 1)**2*(i + 2)/4
Let s(q) be the first derivative of -6*q**5/5 - 149*q**4/20 - 17*q**3/3 + 273*q**2/10 - 9*q/5 + 57. Find z such that s(z) = 0.
-3, 1/30, 1
Let c(q) be the third derivative of -1/24*q**4 + 0 + 3*q**2 - 1/600*q**6 + 0*q - 1/75*q**5 - 1/15*q**3. Solve c(p) = 0.
-2, -1
Let r(i) = -9*i**2 + 44*i - 44. Let l(b) = 9*b - 29 - 2*b + 22*b + 12*b**2 - 18*b**2. Let f(z) = 8*l(z) - 5*r(z). Factor f(n).
-3*(n - 2)**2
Let k(y) be the first derivative of -2 + 1/20*y**5 + y + 3/2*y**2 + 13/12*y**3 + 3/8*y**4. Find x, given that k(x) = 0.
-2, -1
Let s be (-1)/(((-6)/(-8))/((-10)/(100/15))). Find r such that 2/3*r**s + 0 - 2*r = 0.
0, 3
Let u(m) be the first derivative of m**6/18 - 2*m**5/15 - m**4/2 + 4*m**3/9 + 13*m**2/6 + 2*m - 171. Factor u(g).
(g - 3)*(g - 2)*(g + 1)**3/3
Let u be -6 + (-416)/39 - -17. Determine p so that 2*p - 5/3*p**5 + 23/3*p**4 + u*p**2 - 25/3*p**3 + 0 = 0.
-2/5, 0, 1, 3
Let k be (-6)/((-12)/14)*1. Suppose n - k = -4. Suppose -3/4*g + 1/2 + 1/4*g**n + 0*g**2 = 0. What is g?
-2, 1
Suppose -2 = w + 4*l, 2*w = -w + 3*l - 36. Let o = -7 - w. Determine f, given that 6*f**3 + 15*f**o - 16*f**2 + 7*f**4 - 27*f**4 + 3*f + 4*f**5 + 8*f**3 = 0.
0, 1/2, 1, 3
Suppose 0 = 3*p + 5*w + 416 - 387, -p - 26 = 4*w. Suppose 0*s + 1 - 1/4*s**p = 0. What is s?
-2, 2
Let j(d) be the second derivative of d**6/3 + 17*d**5/10 + 8*d**4/3 + 4*d**3/3 + 4*d - 2. Factor j(m).
2*m*(m + 1)*(m + 2)*(5*m + 2)
Let u = -452 - -456. Let w(p) be the first derivative of 0*p - u*p**3 - 3 - 231/5*p**5 + 0*p**2 + 49/2*p**6 + 24*p**4. Factor w(a).
3*a**2*(a - 1)*(7*a - 2)**2
Let t = 216 - 213. Let r(s) be the first derivative of -5 - 2/21*s**t + 2/7*s**2 - 2/7*s. Let r(a) = 0. Calculate a.
1
Let c(h) be the first derivative of h**6/24 - 13*h**5/20 + 55*h**4/16 - 25*h**3/4 - 142. Factor c(q).
q**2*(q - 5)**2*(q - 3)/4
Let k be (2 - 2)*2/6 + 4. Let j(h) be the first derivative of -2/5*h**2 + 1/10*h**k + 2/15*h**3 + 0*h - 4. Solve j(s) = 0.
-2, 0, 1
Let t(s) be the first derivative of -s**6/15 + 24*s**5/25 - 23*s**4/5 + 8*s**3 - 5*s**2 - 584. Factor t(j).
-2*j*(j - 5)**2*(j - 1)**2/5
Factor 8*f**2 - 28 + 11*f + 18*f**2 - 48 - 7*f - 4*f**3 + 50*f**2.
-4*(f - 19)*(f - 1)*(f + 1)
Let n = 173 - 171. Let d(x) be the second derivative of 0 - 1/12*x**3 - x + 0*x**n - 1/24*x**4. Factor d(o).
-o*(o + 1)/2
Let r(v) be the third derivative of -v**7/105 - 2*v**6/15 - 13*v**5/30 - v**4/2 + 170*v**2. Determine b, given that r(b) = 0.
-6, -1, 0
Factor 16 - 98/3*t**2 + 4/3*t**3 + 46/3*t.
2*(t - 24)*(t - 1)*(2*t + 1)/3
Suppose 0 = -27*d + 3*d. Let q(p) be the third derivative of 0*p**3 - 1/840*p**8 - 1/300*p**6 + 0 + 2/525*p**7 + d*p**5 + 0*p**4 + 0*p + 3*p**2. Factor q(s).
-2*s**3*(s - 1)**2/5
Let q be (-2)/6 + 3/((-36)/(-28)). Let m(u) = -9 + 0 - 1 + 8*u. Let n(t) = -t**2 + 1. Let g(w) = q*n(w) + m(w). Factor g(b).
-2*(b - 2)**2
Suppose -3*k = -0*v - 2*v, -10 = -5*k. Suppose t - v = 1. Suppose 10*a**3 - 9*a**3 + a**t - 6*a**2 + 4*a**2 + 0*a**4 = 0. Calculate a.
-2, 0, 1
Let v be -7 + 10934/1092 - 3. Let d(c) be the second derivative of 0 + 2*c + 0*c**2 + v*c**4 + 0*c**3. What is p in d(p) = 0?
0
Let n be 1/6*(-9)/(-90). Let z(o) be the second derivative of 5*o + 0*o**2 + 0 - 1/90*o**6 - 1/18*o**3 + n*o**5 + 1/36*o**4. Find m such that z(m) = 0.
-1, 0, 1
Suppose 0 = -2093*j + 2075*j + 36. Find g, given that -2/5*g**3 + 0 + 2/5*g + 1/5*g**4 - 1/5*g**j = 0.
-1, 0, 1, 2
Let v(x) be the second derivative of 7*x**4/12 + 53*x**3/6 - 30*x**2 + 47*x + 10. Find t, given that v(t) = 0.
-60/7, 1
Let h(q) be the first derivative of -q**6/10 - 21*q**5/25 - 12*q**4/5 - 8*q**3/5 + 24*q**2/5 + 48*q/5 + 61. Factor h(p).
-3*(p - 1)*(p + 2)**4/5
Let x(o) be the second derivative of -o**6/120 + 9*o**4/8 + 19*o**3/3 - 36*o. Let k(f) be the second derivative of x(f). Factor k(i).
-3*(i - 3)*(i + 3)
Let u(p) be the third derivative of p**7/42 + p**6/12 - 2*p**5/3 - 15*p**2. Find h, given that u(h) = 0.
-4, 0, 2
Let y(g) be the third derivative of g**5/15 + 11*g**4/3 - 32*g**3 + 221*g**2. Factor y(h).
4*(h - 2)*(h + 24)
Let z = -333 + 338. Let g(u) be the first derivative of 2 + 0*u**3 + 0*u**2 + 4/45*u**z - 1/18*u**4 + 0*u - 1/27*u**6. Solve g(v) = 0 for v.
0, 1
Factor 16/5*o - 2/5*o**2 + 96/5.
-2*(o - 12)*(o + 4)/5
Suppose -3 = 11*z - 3. Suppose z = 4*n - 12 + 4. Factor 1/4 - 1/2*x + 1/4*x**n.
(x - 1)**2/4
Suppose -44/3*z**3 - 200/3 - 20/3*z + 4/3*z**4 + 44*z**2 = 0. What is z?
-1, 2, 5
Let x(m) be the first derivative of -m**6/160 + m**5/40 + m**4/32 - m**3/4 + 39*m**2/2 + 22. Let u(c) be the second derivative of x(c). Factor u(b).
-3*(b - 2)*(b - 1)*(b + 1)/4
Suppose -7*o - 2 = -8*o - y, -o + y + 2 = 0. Let i(a) be the first derivative of 5/2*a**4 + 12 + 5*a**3 + 0*a**o + 0*a. Let i(w) = 0. Calculate w.
-3/2, 0
Let m(v) = -5*v**2 - 368*v - 385. Let l(x) = -3*x**2 - 183*x - 192. Let g(d) = 11*l(d) - 6*m(d). Factor g(b).
-3*(b - 66)*(b + 1)
Let z(g) be the second derivative of -g**5/15 - g**4/6 + 17*g**2/2 - 17*g. Let d(m) be the first derivative of z(m). Determine a so that d(a) = 0.
-1, 0
Let u = 6725/816 - -25/272. Determine r so that u*r**2 + 10/3*r - 10/3*r**3 - 25/3*r**4 + 0 = 0.
-1, -2/5, 0, 1
Let q(t) = 2*t**3 - 11*t**2 - 32*t - 28. Let s(k) = 3*k**3 - 11*k**2 - 31*k - 29. Let h(r) = 4*q(r) - 3*s(r). Find p, given that h(p) = 0.
-5, -1
Let s = -49/78 + 557/390. Solve -s*k**3 + 0 + 8*k**2 - 34/5*k**4 + 12/5*k**5 + 16/5*k = 0.
-2/3, -1/2, 0, 2
Let 8/7 + 10/7*l**3 - 2/7*l**5 + 2/7*l**2 - 16/7*l - 2/7*l**4 = 0. Calculate l.
-2, 1
Let i(n) be the second derivative of -n**6/90 + 61*n**5/12 - 2567*n**4/4 - 2601*n**3/2 - 8*n + 3. Find b such that i(b) = 0.
-1, 0, 153
Factor -1/2*i + 3/4 - 1/4*i**2.
-(i - 1)*(i + 3)/4
Let b = -293/4 - -367/5. Let r(f) be the second derivative of -b*f**5 + 0*f**2 + 0 + 1/2*f**3 + 0*f**4 + 4*f. Factor r(h).
-3*h*(h - 1)*(h + 1)
Let j(q) be the first derivative of -q**5/240 - q**4/96 + q**3/12 - q**2 + 12. Let s(v) be the second derivative of j(v). Factor s(n).
-(n - 1)*(n + 2)/4
Let y(j) = 21*j**2 - 398*j - 17. Let u be y(19). Solve -q**u - 1/2*q**3 + 0 + 3/2*q = 0 for q.
-3, 0, 1
Let d(u) = -4*u - 25. Let g be d(-7). Determine n so that 9 + 5 - n**2 + 8*n - 18 - g*n = 0.
1, 4
Let v(l) = 5 - 7*l + 1 + l**2 - 4. Let j(a) = -9*a**2 + 69*a - 21. Let p(k) = -2*j(k) - 21*v(k). Determine g so that p(g) = 0.
0, 3
Let x(q) be the first derivative of q**4/24 + q**3/9 - 2*q**2/3 - 529. What is j in x(j) = 0?
-4, 0, 2
Let v be (4/(-36))/(2/(-6)). Let u(f) = 4*f**2 - 18*f - 8. Let x be u(5). Determine z so that -1/3*z + 2/3 - v*z**x = 0.
-2, 1
Suppose -7*p - 1519 = 147. Let x be (-12)/(-14)*p/(-255). Suppose x*k - 8/5*k**2 + 4/5*k**3 + 0 = 0. Calculate k.
0, 1
Let w(p) be the third derivative of 0 - 11*p**2 + 7/32*p**4 + 0*p - 9/80*p**5 + 1/4*p**3. Factor w(x).
-3*(x - 1)*(9*x + 2)/4
Let q(y) be the second derivative of 1/16*y**5 + 0 - 4*y + 1/12*y**3 + 11/96*y**4 + 2*y**2. Let l(a) be the first derivative of q(a). What is w in l(w) = 0?
-2/5, -1/3
Let -4039*i**2 - 4036*i**2 - 89*i + 8074*i**2 - 88 = 0