 second derivative of -t**4/48 - 25*t**3/24 + 21*t**2/2 + 140*t. What is r in m(r) = 0?
-28, 3
Let -18*d + 240/7 + 117/7*d**4 - 51*d**2 + 129/7*d**3 - 3/7*d**5 = 0. What is d?
-2, -1, 1, 40
Factor -36/11*n**3 - 42/11 - 120/11*n**2 + 2/11*n**4 - 124/11*n.
2*(n - 21)*(n + 1)**3/11
What is s in 213/2*s - 108 + 3/2*s**2 = 0?
-72, 1
Let h be -5*3/12*(-12 + -4). Solve 2*t**4 + h*t**2 - t**4 - 36*t**4 + 29*t**3 + 31*t**3 = 0 for t.
-2/7, 0, 2
Let d(p) be the third derivative of 0*p - 1 + 11/6*p**4 + 86*p**2 - 11/30*p**6 + 2*p**3 - 1/5*p**5. Factor d(z).
-4*(z - 1)*(z + 1)*(11*z + 3)
Determine p, given that -1596*p**2 - 744*p**4 + 993*p**4 - 2*p**3 + 274*p**4 - 7*p**3 + 12*p**5 + 1601*p**4 - 531*p = 0.
-177, -1/2, 0, 1
Suppose 19 + 57 = 2*p. Let h = p - 35. Let 59*s**2 - 3*s**3 + 3*s - 115*s**2 + 53*s**2 + h = 0. What is s?
-1, 1
Let w be (-6)/((-2 - 0/2) + 4). Let y be (10/(-6) + w)/((-4)/6). Determine d, given that 12*d**4 - d**3 + 4*d**3 - y - 630*d + 1 + 597*d - 36*d**2 = 0.
-1, -1/4, 2
Let i(u) = -u**3 - 5*u**2 - 2*u + 3. Let z be i(-3). Let t = -5 - z. Factor 179 - 184 + 10*g**2 - t*g**4 - g**4.
-5*(g - 1)**2*(g + 1)**2
Factor -308059*d**2 - 1680*d - 4*d**4 - 1764 + 307491*d**2 - 73*d**3 - 7*d**3.
-4*(d + 3)**2*(d + 7)**2
Suppose -20 = -3*z + 13*z. Let y be 12/30 + (560/(-275) - z). Factor -y + 6/11*b - 2/11*b**2.
-2*(b - 2)*(b - 1)/11
Factor 2*w**2 + 107 + 23*w + 13 + 40*w - 17*w.
2*(w + 3)*(w + 20)
Let z = 112903 - 338705/3. Let -z*s**2 + 0 + 2/3*s + 2/3*s**3 = 0. Calculate s.
0, 1
Suppose -5*q - 5*p = 0, -2*p = 4*q - 3*p - 15. Let 128*o - 2*o**3 + o**q + 199 - 311 - 44*o**2 + 5*o**3 = 0. Calculate o.
2, 7
Let f(p) = -p**3 + 8*p**2 + 2*p - 12. Let g be f(8). Factor -10*d**g + 0*d**5 - 5*d**5 + 5*d**2 + 5*d + 9*d**2 - 4*d**2.
-5*d*(d - 1)*(d + 1)**3
What is m in 0 + 2/11*m**2 + 1952/11*m = 0?
-976, 0
Let g(o) be the second derivative of o**4/54 - o**3 - 28*o**2/9 + 822*o. Factor g(u).
2*(u - 28)*(u + 1)/9
Let r(x) = -x**3 + 31*x**2 - 220*x + 420. Let k(v) = v**3 - 32*v**2 + 221*v - 417. Let u(q) = 4*k(q) + 5*r(q). Factor u(t).
-(t - 12)**2*(t - 3)
Let d be ((-70)/(-75) - (-5)/(-15))*165/22. Let 0 + d*x - 1/4*x**2 = 0. What is x?
0, 18
Let p be ((-2)/1*2)/(4366/(-111) - -38). Let y(i) be the first derivative of 0*i**2 - 5*i**p + 23 + 0*i + 35/4*i**4. Factor y(n).
5*n**2*(7*n - 3)
Let n be (7190/(-9347))/(12/(-351)). Factor 3/4*a**4 - 75*a - 1125/4 + n*a**2 + 9*a**3.
3*(a - 3)*(a + 5)**3/4
Let d(n) be the first derivative of 2/7*n**4 + 1/7*n**2 + 0*n - 89 - 10/21*n**3. Factor d(k).
2*k*(k - 1)*(4*k - 1)/7
Let c(a) be the first derivative of 2*a**3/27 + 28*a**2/3 - 344*a/9 + 793. Let c(v) = 0. Calculate v.
-86, 2
Let i(o) be the second derivative of -o**4/3 + 820*o**3 - 756450*o**2 + 23*o. Suppose i(q) = 0. Calculate q.
615
Let h be ((-91)/14)/(1/20). Let n be 1 + (-800)/h + -7. Factor 4/13*p + 14/13*p**2 + 8/13*p**3 - n.
2*(p + 1)**2*(4*p - 1)/13
Let a(q) be the second derivative of q**5/50 - 23*q**4/15 - 47*q**3/15 + 468*q + 1. Factor a(m).
2*m*(m - 47)*(m + 1)/5
Let v(d) = d**2 + 1. Let z(o) = -2*o + 0*o + 5*o**3 - 4*o**2 - 3*o**3. Let g(p) = 2*v(p) + z(p). Solve g(w) = 0 for w.
-1, 1
Let g(p) be the first derivative of p**6/6 + 179*p**5/5 + 5399*p**4/2 + 226442*p**3/3 + 421201*p**2/2 + 205379*p + 825. Factor g(a).
(a + 1)**2*(a + 59)**3
Let o = 66 - 100. Let p = 34 + o. Factor 4 + 4*k + p*k**2 + 4*k**2 - 12.
4*(k - 1)*(k + 2)
Suppose -14 = t + 4*r, -148*t = -146*t + r. Determine u, given that -1/2*u + 5/2*u**3 + t*u**2 + 0 = 0.
-1, 0, 1/5
Let f(u) = -12*u**3 + 4*u**2 - 7*u. Let m be (-238)/28*(-2)/1. Let h = 18 - m. Let v(x) = x**3 + x**2 + x. Let n(w) = h*f(w) + 5*v(w). Factor n(q).
-q*(q - 1)*(7*q - 2)
Let n(a) = -3*a**3 + 124*a**2 + 376*a - 1. Let f be n(-3). Suppose 316/7*o**3 + 4/7*o**5 - f*o**2 - 320/7*o + 76/7*o**4 + 400/7 = 0. What is o?
-10, -1, 1
Suppose 18*p**2 + 0 - 3/2*p**3 + 39/2*p = 0. What is p?
-1, 0, 13
Let u(g) = -5*g**2 + 24*g + 10. Let b be u(5). Suppose -90 + 10*a + b*a**2 - 5*a**2 + 102 - 2*a**2 = 0. Calculate a.
-1, 6
Let d be -1 + 2 + 7/2002*-431. Let z = -1/143 - d. Find v, given that z*v**2 + 0 + 1/2*v**3 + 0*v = 0.
-1, 0
Let d(b) be the third derivative of b**7/3570 - b**6/612 - 7*b**5/510 + 2*b**4/51 - 11*b**3/3 + 103*b**2. Let a(f) be the first derivative of d(f). Factor a(m).
2*(m - 4)*(m + 2)*(2*m - 1)/17
Let c = -3472 + 3480. Suppose 2*m = 3*m - 9. Let -c*k**4 + 9 + 94*k**2 + m*k**5 + 57*k - 2*k**3 - 19*k**4 - 12*k**4 = 0. What is k?
-1, -1/3, 3
Let a = -48860 + 48861. Factor -a + 1/6*v + 1/6*v**2.
(v - 2)*(v + 3)/6
Let k(j) be the third derivative of 1/150*j**5 + 1/30*j**4 + 1/15*j**3 + 2*j**2 + 7 + 0*j. Factor k(a).
2*(a + 1)**2/5
Let k be (-42)/((-152)/(-24) - 7). Let r be k/105 + 3/5. Factor 9/5*u - 6/5*u**3 - 3/5*u**5 + 9/5*u**4 - 3/5 - r*u**2.
-3*(u - 1)**4*(u + 1)/5
Let h be 2674/(-191) + ((-1)/6)/((-9)/999). Find n such that -5 + h*n + n**3 + 21/2*n**2 = 0.
-10, -1, 1/2
Suppose -696/7*s - 30/7*s**4 + 120/7 + 486/7*s**2 - 24/7*s**3 = 0. Calculate s.
-5, 1/5, 2
Let q(i) be the second derivative of -1/4*i**5 + 50/3*i**3 - 14 - 5/12*i**4 + 3*i + 0*i**2. Determine g so that q(g) = 0.
-5, 0, 4
Solve -112 - 9 + 7*m**3 + 27 + 401*m**2 - 59 - 83 - 712*m = 0.
-59, -2/7, 2
Let a be 260/2 + (-2)/2*1. Suppose 1215*p + p**2 + 53*p**2 - 126*p**5 - 2025 + 3*p**4 + 0*p**4 - 114*p**3 + a*p**5 = 0. Calculate p.
-5, 3
Let y(u) = 2*u**3 + 14*u**2 + 35*u + 158. Let n be y(-6). Suppose 3*t - 4 = 2. Factor -n*c**3 - 4*c**4 + 9*c**4 - 10*c + 64*c**2 - 39*c**t.
5*c*(c - 2)*(c - 1)**2
Determine t, given that -566/9*t - 568/9*t**2 + 0 - 2/9*t**3 = 0.
-283, -1, 0
Let u(w) be the second derivative of -w**4/3 + 236*w**3/3 - 234*w**2 + 2*w + 206. Suppose u(f) = 0. Calculate f.
1, 117
Let p(l) = -410*l**2 - 2521*l + 404519. Let x(c) = 107*c**2 + 630*c - 101130. Let b(v) = -6*p(v) - 23*x(v). Factor b(u).
-(u - 318)**2
Let h = -2504746/233 - -10750. Let i = h - -667/1864. Find t such that -i*t**2 + 0 + 0*t - 1/4*t**3 = 0.
-3/2, 0
Let f(k) be the first derivative of 28/27*k**3 + 0*k - 11/9*k**4 + 8/9*k**2 + 254. Solve f(w) = 0.
-4/11, 0, 1
Let m(f) be the second derivative of 2*f - 38 + 0*f**2 - 1/30*f**5 - 100/9*f**3 - 10/9*f**4. Factor m(i).
-2*i*(i + 10)**2/3
Let h be 12/8*4/2. Let y be (-10)/(90/39) - -7. Factor -2/3*a**5 + 8*a**2 + 0 + 4/3*a**h - y*a**4 - 6*a.
-2*a*(a - 1)**2*(a + 3)**2/3
Let n(o) = 5*o**4 - 28*o**3 - 37*o**2 - 2*o + 2. Let b(r) = 11*r**4 - 55*r**3 - 76*r**2 - 5*r + 5. Let d = -193 + 195. Let x(i) = d*b(i) - 5*n(i). Factor x(w).
-3*w**2*(w - 11)*(w + 1)
Factor 2/11*l**5 + 369664/11 + 32944/11*l**2 + 2930/11*l**3 + 177536/11*l + 124/11*l**4.
2*(l + 8)**3*(l + 19)**2/11
Factor -4*j - 142 + 28 + 496*j**2 - 78 + 4*j**3 - 288 - 16.
4*(j - 1)*(j + 1)*(j + 124)
Let h = 4077296/7 - 582470. Determine o so that -1/7*o + 1/7*o**2 - h = 0.
-2, 3
Let s = -248965 - -248968. Let m be (-2)/14 - (-9)/14. Factor m*a**s + 3/2*a**2 + 0*a - 2.
(a - 1)*(a + 2)**2/2
Let s(f) be the third derivative of 16*f**7/735 + 6*f**6/5 + 3289*f**5/210 - 255*f**4/2 + 7225*f**3/21 + 123*f**2 - 16. Solve s(o) = 0.
-17, 5/4
Let j be (7/(-63)*1*2)/(238/(-2142)). Solve -8/7*k**3 - 8/7 - 22/7*k + 38/7*k**j = 0 for k.
-1/4, 1, 4
Let v be 8 + (3 - (11 - 14)). Let j(c) be the second derivative of 0*c**3 + v*c - 4/9*c**2 - 1/90*c**5 + 1/18*c**4 + 0. Factor j(s).
-2*(s - 2)**2*(s + 1)/9
Let t = -10219 + 10242. Let u(r) be the first derivative of 9*r + 7/3*r**3 + t - 15/2*r**2 - 1/4*r**4. Factor u(v).
-(v - 3)**2*(v - 1)
Suppose -346*r = -350*r + 8. Suppose 34*b = 38*b. Factor 1/6*c + b - 1/6*c**r.
-c*(c - 1)/6
Suppose 357*v + 521*v = 332*v + 2184. Factor -40/7*n**3 - 216/7*n + 4/7*n**v + 144/7*n**2 + 108/7.
4*(n - 3)**3*(n - 1)/7
Let g(a) be the third derivative of -a**6/360 - a**5/10 - 4*a**4/3 - 80*a**3/9 - 2035*a**2. Factor g(u).
-(u + 4)**2*(u + 10)/3
Let g(q) = -q**3 - 4*q**2 - 94*q - 120. Let n(k) = 111 - 196*k**2 + 9 + 201*k**2 + 95*k. Let o(j) = 5*g(j) + 6*n(j). Suppose o(h) = 0. Calculate h.
-2, 6
Suppose -4*f + j - 1207 = 0, -3*f - j - 894 = 2*j. Let p = f - -5125/17. Factor 48/17*h - p - 22/17*h**2.
-2*(h - 2)*(11*h - 2)/17
Let h(s) = 4*s**2 + 165*s + 1215. Let a be h(-32). Let z(w) be the first derivative of -1/8*w**4 + 0*w**2 + a + 0*w**3 + 0*w.