t 1/2*p**2 - 425*p + 180625/2 = 0. Calculate p.
425
Let w(n) be the first derivative of -5*n**6/168 + n**5/28 - n**4/56 - 43*n**3/3 + n - 12. Let b(k) be the third derivative of w(k). Let b(q) = 0. What is q?
1/5
Let r be (-398)/((-546)/(-66) + -7). Let j = r - -313. Solve j*w**5 + 0 + 0*w**3 + 0*w + 6/7*w**4 - 8/7*w**2 = 0 for w.
-2, 0, 1
What is a in -1260*a + 12*a**5 - 150*a**3 - 537*a + 423*a - 1089*a**2 + 60*a**4 - 504 + 21*a**4 = 0?
-7, -2, -1, -3/4, 4
Let q(l) be the third derivative of -l**7/735 + 11*l**6/60 + 81*l**5/35 + 247*l**4/21 + 664*l**3/21 - 4*l**2 - 892*l. Determine c so that q(c) = 0.
-2, 83
Let z(s) be the first derivative of -4*s**3/3 + 13*s**2/3 + 100*s/3 + 1600. Factor z(u).
-2*(u + 2)*(6*u - 25)/3
Factor 238545/7*h + 243*h**2 - 731025/7 + 3/7*h**3.
3*(h - 3)*(h + 285)**2/7
Suppose -12*i - 1/2*i**2 + 585/2 = 0. What is i?
-39, 15
Let x(h) be the second derivative of -h**5/10 - 73*h**4 - 15691*h**3 + 195364*h**2 + 1767*h - 1. Factor x(k).
-2*(k - 4)*(k + 221)**2
Suppose -2*f + j = -64, 14*j = -3*f + 16*j + 95. Suppose -15*w - f = -48. Suppose 2*x**2 + 8/3*x - 1/3*x**4 + 0*x**3 + w = 0. What is x?
-1, 3
Suppose 4*q + 60 = -44. Let w = q + 32. What is j in 0 + 9 - 3*j**2 - w = 0?
-1, 1
Suppose -2*a + 4*i = 938, -5*a + 5*i + 772 = 3117. Let h = a + 4225/9. Factor -14/9*u - 10/9*u**2 - h.
-2*(u + 1)*(5*u + 2)/9
Let u(n) = -n + 3. Let y be u(1). Suppose -5*b = y*s - 8, -16*s + 12*s = -2*b + 8. Factor 1/4*l**3 - l - 1/4*l**4 + l**b + 0.
-l*(l - 2)*(l - 1)*(l + 2)/4
Let c be -7 - (4/(-1 - -3))/(-1). Let j(b) = 31*b - 56 - 12*b**2 - 12*b - 67*b. Let q(o) = -8*o**2 - 32*o - 37. Let s(v) = c*j(v) + 8*q(v). Factor s(k).
-4*(k + 2)**2
Let v be (3886/232 - (1 + 6/8))*4. Let k(f) be the first derivative of 4/3*f**3 + 900*f + v*f**2 - 38. Factor k(q).
4*(q + 15)**2
Let k(d) be the third derivative of d**9/20160 + d**8/1120 + d**7/168 + d**6/60 - d**4 + 3*d**2 + 5*d. Let i(t) be the second derivative of k(t). Factor i(v).
3*v*(v + 2)**2*(v + 4)/4
Let f(u) be the second derivative of -1/130*u**5 + 0 - 77*u - 79507/13*u**2 - 43/26*u**4 - 1849/13*u**3. Factor f(v).
-2*(v + 43)**3/13
Find d such that -6*d**2 - 20*d**2 + 41*d**2 - 204*d - 138*d - 13*d**2 = 0.
0, 171
Let x(c) be the second derivative of -c**5/50 - 7*c**4/30 + 224*c**3/15 + 468*c**2/5 - 9*c - 3. Let x(j) = 0. Calculate j.
-18, -2, 13
Let b(v) = 2*v**3 - 4*v**2 - 5*v + 6. Let s be b(4). Suppose 2*x - 64 = -s. Factor x*g**3 - 23 - 31 + 4*g**4 - 9*g - g**4 + 14*g**3 + 39*g**2.
3*(g - 1)*(g + 2)*(g + 3)**2
Suppose 611 = -51*d + 713. Factor 24/7*p + 36/7 + 3/7*p**d.
3*(p + 2)*(p + 6)/7
Suppose -4*a + 76 = 2*m, -6*a + a = -5*m - 125. Solve -24*g**4 - 32*g**3 + 37*g**4 - 4 + 12 - 30*g**2 - a*g**4 + 8*g = 0.
-2, -1/2, 1/2
Let h = 179146/5 - 35826. Let 36*n**3 + 88/5*n**2 + 54/5*n**5 + 0 + 162/5*n**4 + h*n = 0. What is n?
-1, -2/3, 0
Suppose 15*w = -1060 + 1105. Find f, given that -78/5*f**w + 66/5*f**4 + 12/5*f - 14/5*f**5 + 0 + 14/5*f**2 = 0.
-2/7, 0, 1, 3
Let m = 18 + -286. Let c be (-2)/(-3)*(-1206)/m. Factor 10*r**c + 5/3*r**5 + 10/3*r**2 + 5 - 35/3*r - 25/3*r**4.
5*(r - 3)*(r - 1)**3*(r + 1)/3
Let f be ((-520)/2600)/(42/(-15) + 2). Factor -f*k**3 + 3/8*k**2 + 1/2 - 1/8*k**4 + k.
-(k - 2)*(k + 1)**2*(k + 2)/8
Let l(w) be the first derivative of 4*w**3/9 + 380*w**2/3 + 252*w - 1411. Find z, given that l(z) = 0.
-189, -1
Let j(t) be the first derivative of -65*t - 5/3*t**3 - 35*t**2 - 14. Factor j(d).
-5*(d + 1)*(d + 13)
Let k(s) be the first derivative of s**6/6 + 38*s**5/5 + 231*s**4/4 - 90*s**3 - 5903. Factor k(x).
x**2*(x - 1)*(x + 9)*(x + 30)
Suppose 7 = 5*d + 4*i, 5*d - 2*i + 0*i = 19. What is h in -96*h**2 - 7*h**5 + 1300*h - 403*h**3 + 2*h**5 + 100*h**4 + 1000 + 33*h**3 - 194*h**2 - 115*h**d = 0?
-1, 2, 10
Let w(y) = y**3 - 16*y**2 + 32*y + 19. Let t(x) = 2*x**3 - 33*x**2 + 53*x + 38. Let q(r) = 6*t(r) - 10*w(r). Suppose q(p) = 0. Calculate p.
-1, 1, 19
Let c(s) be the third derivative of 28/15*s**4 + 49/75*s**5 + 0*s + 23*s**2 + 2/75*s**6 + 22/15*s**3 + 0. Factor c(n).
4*(n + 1)*(n + 11)*(4*n + 1)/5
Let v(m) = -4*m + 128. Let j be v(32). Suppose -2*p + 6 = 0, -3*a + j*p + 2*p - 6 = 0. Suppose a + 8/9*o - 2/3*o**2 - 2/9*o**3 = 0. What is o?
-4, 0, 1
Let b(h) be the first derivative of -4*h**5/5 - 87*h**4 - 7004*h**3/3 + 12870*h**2 + 32400*h - 369. Factor b(d).
-4*(d - 4)*(d + 1)*(d + 45)**2
Let m(c) be the first derivative of 0*c - 1/16*c**4 + 48 - 3/4*c**2 - 7/12*c**3. Solve m(x) = 0.
-6, -1, 0
Let m(t) = 4*t - 94. Suppose 7*f = 138 + 30. Let w be m(f). Let -3/2*i**5 + 0 + 9/2*i**w - 3/2*i**3 - 9/2*i**4 + 3*i = 0. Calculate i.
-2, -1, 0, 1
Suppose 0 = n - 2*n - g + 5, 4*n + 2*g - 14 = 0. Let m(c) = -c**2 + 3*c - 1. Let z be m(n). Determine l, given that -1 + 15*l**2 + l - 3*l**3 - 13*l + z = 0.
0, 1, 4
Suppose -3*g - 2*u + 112 = 0, 43 = 5*g + u - 132. Let x(z) be the first derivative of 4/3*z**3 + g + 0*z**2 + 0*z. Factor x(a).
4*a**2
Let p(a) be the first derivative of a**6/24 + a**5/15 - 11*a**4/24 + a**3/3 - 73*a**2/2 + 60. Let i(r) be the second derivative of p(r). What is o in i(o) = 0?
-2, 1/5, 1
Let d(g) = 31*g**2 - 99*g + 248. Let b(v) = -440*v**2 + 1385*v - 3475. Let a(s) = -6*b(s) - 85*d(s). Factor a(p).
5*(p - 2)*(p + 23)
Let d(i) be the first derivative of i**5/5 + 17*i**4 + 22*i**3 - 34*i**2 - 67*i - 3647. Let d(u) = 0. What is u?
-67, -1, 1
Let b be -2 + (-7 - -20) + -4. Let w be 3 - (59/b + -6). Factor -2/7*o**4 - w*o**3 + 0*o - 2/7*o**2 + 0.
-2*o**2*(o + 1)**2/7
Let y be (-6772)/(2 + 1 + 918) - -6. Let t = -6/307 - y. Factor -8/3 - 14/3*w + 2/3*w**3 - t*w**2.
2*(w - 4)*(w + 1)**2/3
Let t(y) be the third derivative of 1/24*y**6 + 0 - 55/24*y**4 + 5/6*y**5 - y + 0*y**3 - 11*y**2. Solve t(u) = 0 for u.
-11, 0, 1
Let b be 226/(-3)*(-27)/9. Suppose -190 + m**3 - 111*m**2 - 58*m**3 + 120*m + 12*m**4 + b = 0. What is m?
-2, -1/4, 1, 6
Let t = -7919/91 - -732/13. Let y = 219/7 + t. Determine z, given that y*z - 2/7*z**3 + 0 + 2/7*z**2 = 0.
-1, 0, 2
Factor 68/23*s**3 + 62/23 + 192/23*s**2 + 188/23*s + 2/23*s**4.
2*(s + 1)**3*(s + 31)/23
Let d(q) be the third derivative of -q**5/60 + 43*q**4/24 + 94*q**3/3 - 2*q**2 - 345. Factor d(c).
-(c - 47)*(c + 4)
Let h = -288 + 610. Let u = 322 - h. Factor -2/7*r**5 + 0*r**2 + u + 0*r**4 + 2/7*r**3 + 0*r.
-2*r**3*(r - 1)*(r + 1)/7
Suppose 24*z**2 + 52 + 14 - 66 - 30*z**3 - 24*z**4 + 32*z + 3*z**5 - 5*z = 0. What is z?
-1, 0, 1, 9
Let d(i) be the first derivative of -1/2*i**2 + 4/3*i**3 - 2*i - 1/6*i**6 + 1/2*i**4 + 289 - 2/5*i**5. Determine v, given that d(v) = 0.
-2, -1, 1
Let v(y) be the first derivative of 88 + 0*y**4 + 0*y**2 + 0*y**3 + 4/15*y**5 + 0*y + 2/9*y**6. Factor v(t).
4*t**4*(t + 1)/3
Let h(v) be the first derivative of v**6/150 + v**5/20 + v**4/10 + 59*v + 5. Let p(y) be the first derivative of h(y). Suppose p(k) = 0. What is k?
-3, -2, 0
Let h(t) be the second derivative of -3/2*t**2 + 1/12*t**4 - 18*t + 0*t**3 + 1/120*t**5 + 0. Let b(q) be the first derivative of h(q). Solve b(a) = 0 for a.
-4, 0
Let r(d) be the first derivative of d**6/120 + d**5/10 - 7*d**4/24 + 31*d**2/2 - d + 35. Let z(l) be the second derivative of r(l). Factor z(m).
m*(m - 1)*(m + 7)
Let x(w) be the first derivative of 8*w**3/57 - 591*w**2/19 - 296*w/19 + 433. Solve x(o) = 0 for o.
-1/4, 148
Let c(k) be the first derivative of -k**6/9 + 8*k**5/15 + k**4/3 - 16*k**3/9 - k**2/3 + 8*k/3 - 733. Solve c(z) = 0 for z.
-1, 1, 4
Let k(o) be the third derivative of -o**6/660 + 62*o**5/165 - 11*o**4/12 - 82*o**3/11 - 4*o**2 - 125*o. Solve k(c) = 0 for c.
-1, 2, 123
Let s = 3458 + -3452. Let r(f) be the second derivative of 0 - 1/4*f**4 + 1/3*f**3 - s*f + 0*f**2 + 1/20*f**5. Factor r(i).
i*(i - 2)*(i - 1)
Let w be -2 + 11 + (-40)/(-5) + 5. Let u(j) be the second derivative of -50*j**4 - 40*j**2 - 25/4*j**5 + w*j - 70*j**3 + 0. Factor u(p).
-5*(p + 4)*(5*p + 2)**2
Let a be (1 + 5/(-3))*(-51 - (-1575)/30) - -4. Suppose 4 + 1/2*s**2 + a*s = 0. Calculate s.
-4, -2
Find w such that -66/17*w + 216/17 - 2/17*w**2 = 0.
-36, 3
Let d(g) = 807*g + 219506. Let a be d(-272). Let 3/7*l**2 + 19/7*l - a = 0. Calculate l.
-7, 2/3
Let b(i) = 13*i. Let m(u) = u**2 + 31*u + 16. Let q(z) = -3*b(z) + m(z). What is o in q(o) = 0?
4
Let u be (0 - 1/11) + (-3 - (-392)/77)