 25/3*u + 20/3*u**2 + 10/3.
-5*(u - 2)*(u - 1)**2/3
Let g = 797 + -794. Let w(d) be the second derivative of -10*d - 31/18*d**4 + 0 + 19/18*d**g - 2/5*d**6 + 27/20*d**5 - 1/3*d**2. Determine n so that w(n) = 0.
1/4, 1/3, 2/3, 1
Let j(t) = -2386*t - 7156. Let m be j(-3). Determine r, given that -5/2*r**5 - 15*r**4 + 0*r**m + 55/2*r - 25*r**3 + 15 = 0.
-3, -2, -1, 1
Let u(h) be the first derivative of 17 + 6*h - 9/2*h**2 + 3/4*h**4 + 0*h**3. Factor u(i).
3*(i - 1)**2*(i + 2)
Let x(a) be the second derivative of -a**5/20 - 41*a**4/4 - 1281*a**3/2 - 3721*a**2/2 + 278*a - 1. Factor x(v).
-(v + 1)*(v + 61)**2
Let o(i) be the third derivative of -i**8/84 - 2*i**7/5 - 3*i**6 + i**2 - 313. Solve o(f) = 0 for f.
-15, -6, 0
Let v be (-12)/6 - 2/((-16)/34). Let j(d) = 93*d + 467. Let s be j(-5). Let 1/4*o**s + v + 3/2*o = 0. Calculate o.
-3
Let i = 390 - 285. Suppose -3*q = 5*a - 12, 108*q - i*q - 2*a - 12 = 0. Factor 14/11*w + 4/11 - 2/11*w**5 + 16/11*w**2 - 4/11*w**q + 4/11*w**3.
-2*(w - 2)*(w + 1)**4/11
Factor -2/5*n + 2/5*n**3 - 2*n**2 + 2.
2*(n - 5)*(n - 1)*(n + 1)/5
Let g(t) be the third derivative of -169*t**5/120 - 143*t**4/24 - 121*t**3/12 - 165*t**2 - 5. Find s such that g(s) = 0.
-11/13
Let q(c) be the second derivative of -c**5/15 + 71*c**4/3 - 2590*c**3 + 22050*c**2 - 1601*c. Factor q(i).
-4*(i - 105)**2*(i - 3)/3
Let i(g) = 4*g - 44. Let u be i(11). Suppose r + 21 = -5*a + 11, -26 = -4*r + 2*a. Factor -6*s**3 + 2*s**4 + 0 + s**r + u*s**3 + 5*s - 4*s**2 + 8*s - 6.
(s - 1)**3*(s + 2)*(s + 3)
Factor -9*t - 41 - 25*t + 18*t**2 + 89 + 36 - 16*t**2.
2*(t - 14)*(t - 3)
Let z be (-38)/4655*-35 - (-346)/112. Solve -3/8*k**2 - 21/4 + z*k = 0.
2, 7
Let a(t) = 9*t**2 + 130*t + 224. Let s(j) = 0*j**2 + 16*j + 20 + j**2 + 3 + 5. Let l(p) = 6*a(p) - 51*s(p). Find g, given that l(g) = 0.
-2, 14
Suppose 5 = 2*u - 15. Let g = 132 - 130. Determine c so that 16 + 15 - 50*c**g - 75*c**4 + u*c**5 - 26 + 100*c**3 + 10*c**5 = 0.
-1/4, 1
Suppose -5*s + 232 = -4*i, 31*s = 34*s - i - 135. Find f such that -3085*f + 16 + 16 + 2849*f + s*f**4 - 216*f**3 + 344*f**2 + 4*f**5 + 28 = 0.
-15, 1
Let q(j) be the first derivative of -14*j - 28/33*j**3 - 8/11*j**2 + 7/110*j**5 + 1/33*j**4 - 10. Let f(n) be the first derivative of q(n). Factor f(a).
2*(a - 2)*(a + 2)*(7*a + 2)/11
Let r(q) = q**3 - 4*q**2 - 2. Let v(t) = -3*t**3 + 12*t**2 + 7. Let c(k) = -21*r(k) - 6*v(k). Find u, given that c(u) = 0.
0, 4
Let q(r) be the first derivative of -5*r**4/12 + r**3/9 + 15*r**2/2 - 3*r - 292. Solve q(c) = 0.
-3, 1/5, 3
Let b(v) be the first derivative of -3*v**5/25 + 9*v**4/10 + v**3/5 - 9*v**2/5 + 452. Factor b(g).
-3*g*(g - 6)*(g - 1)*(g + 1)/5
Let u(d) = -d**3 + 34*d**2 + 2*d - 105. Let w be u(34). Let a(o) = o**2 + 39*o + 76. Let k be a(w). Factor k - 10/3*n**2 - 4/3*n.
-2*(n + 1)*(5*n - 3)/3
Let v be (-195)/(-260)*((-64)/(-114))/4. Let s = v + 214/133. Determine u so that 3/7*u**2 + s - 15/7*u = 0.
1, 4
Let a(i) be the first derivative of -7*i**6/2 - 148*i**5/5 - 131*i**4/4 + 8*i**3/3 + 6*i**2 - 10605. Determine w, given that a(w) = 0.
-6, -1, -1/3, 0, 2/7
Let r(p) be the second derivative of -4*p**5/45 - 41*p**4/54 - 5*p**3/27 - 85*p. Factor r(g).
-2*g*(g + 5)*(8*g + 1)/9
Let c(f) = 2*f + 1. Let a(l) = 4 + 12*l - 433*l**2 - 3 + 432*l**2 + 20*l. Let g(b) = 4*a(b) - 4*c(b). Let g(h) = 0. What is h?
0, 30
Let i be (4 + 192/(-84))*189/270. Factor 1/5*c**2 - i - c.
(c - 6)*(c + 1)/5
Let k(g) be the first derivative of 7*g**3/3 + 221*g**2 + 496*g - 11513. Factor k(u).
(u + 62)*(7*u + 8)
Let a(l) be the third derivative of -11*l**6/52 + 38*l**5/15 + 389*l**4/52 + 14*l**3/39 + 2093*l**2. Determine m, given that a(m) = 0.
-1, -2/165, 7
Let h = -2337 + 1058. Let o = h + 1281. Let 0 - 12*r**o + 12*r**3 - 16/7*r**4 + 16/7*r = 0. Calculate r.
0, 1/4, 1, 4
Let u = -892 - -902. Suppose -4 = -3*p - 5*a + u*a, 3*p - 10 = -a. Suppose -4/9*j**2 + 0 - 2/9*j**p - 2/9*j = 0. What is j?
-1, 0
Let z = 83473/50 - 3337/2. Let j(l) be the first derivative of -z*l**5 + 28/5*l**3 + 0*l**4 - 51/5*l**2 + 1/5*l**6 - 12 + 36/5*l. Factor j(v).
6*(v - 3)*(v - 1)**3*(v + 2)/5
Let y(d) = -8*d**3 + 1124*d**2 + 3472*d + 2340. Let l(p) = p**3 - 161*p**2 - 496*p - 334. Let b(a) = 22*l(a) + 3*y(a). Factor b(j).
-2*(j + 1)*(j + 2)*(j + 82)
Factor 3/4*l**2 - 63/4 + 3*l.
3*(l - 3)*(l + 7)/4
Suppose 0 = -528*d + 527*d + 5*i - 62, -3*i = d - 42. Factor 1/2*n - 1/2*n**2 - 1/2*n**d + 1/2.
-(n - 1)*(n + 1)**2/2
Suppose 25*d - 1671 = 829. Let o be (-15)/d*-8 - 1. Factor -2/5*l**2 + 0 + 1/5*l**3 + o*l**4 + 0*l.
l**2*(l - 1)*(l + 2)/5
Let j(d) be the second derivative of 3*d**5/80 - 19*d**4/8 + 289*d**3/8 - 189*d**2/2 - 44*d - 10. Factor j(g).
3*(g - 28)*(g - 9)*(g - 1)/4
Suppose 0 = -7*m - 21*m + 68 + 16. Let c(t) be the first derivative of 37*t**m - 27*t**4 - 6*t + 10 + 3/2*t**2. Determine y so that c(y) = 0.
-2/9, 1/4, 1
Suppose 17*z = 74*z + 11*z - 204. Let g(b) be the first derivative of -125/2*b - 5/6*b**z - 25/2*b**2 + 20. Suppose g(c) = 0. Calculate c.
-5
Suppose 230/9*i**2 + 6272/3 - 2/9*i**3 - 6944/9*i = 0. Calculate i.
3, 56
Let g be (-20)/(-8) + (-1 - 4/(-8)). Let -16 + 22*k - 4*k**2 - g*k - 4*k = 0. What is k?
2
Let m = 170902 - 170898. Factor -1/2*k**2 - 2*k + 0 + 2*k**3 + 1/2*k**m.
k*(k - 1)*(k + 1)*(k + 4)/2
Let o be -4*10/(80/6) + -1. Let m(z) = -1. Let k = -5 - -6. Let a(v) = -14*v**2 + 8*v + 2. Let f(w) = k*a(w) + o*m(w). Find j such that f(j) = 0.
-3/7, 1
Factor 3 + 13932075/4*v**2 - 6465*v.
3*(2155*v - 2)**2/4
Factor 85/4*t**3 - 375/2 + 205*t**2 + 1825/4*t.
5*(t + 5)**2*(17*t - 6)/4
Let p(u) be the second derivative of u**4/12 - 16*u**3/3 - 34*u**2 - 1232*u. Factor p(x).
(x - 34)*(x + 2)
Let o = 1774 - 1771. Let x(u) be the third derivative of 0*u + 0 + 1/105*u**5 - 36*u**2 - 2/7*u**o - 1/21*u**4. Factor x(a).
4*(a - 3)*(a + 1)/7
Let w = -866 - -508. Let s = -358 - w. Suppose -6/17*d**4 + 0*d + 0 - 2/17*d**5 - 4/17*d**3 + s*d**2 = 0. What is d?
-2, -1, 0
Let i(m) be the second derivative of m**4/18 - 157*m**3/9 - 106*m**2 + 4265*m. Factor i(k).
2*(k - 159)*(k + 2)/3
Factor 1/4*v**3 + 40328 - 283/2*v**2 + 19880*v.
(v - 284)**2*(v + 2)/4
Suppose 0*b + b - t = -1, 5*b - 35 = -3*t. Determine p so that 18*p**2 - 16*p**4 + 6*p**3 + 7*p**b - 15*p**2 = 0.
-1/3, 0, 1
Suppose 34*a = 31*a + 3*h + 21, -5*h = 2*a + 21. Suppose -2*k = 2*b - a, 5*k - 6*k - 3*b = 1. Factor -2/3*r**k + 8/3*r + 10/3.
-2*(r - 5)*(r + 1)/3
Let b = -14 - -19. Suppose 100 = 37*h - 122. Factor -3*r**4 + b*r + 20*r**2 - 2*r - h - 3*r**3 - 11*r**2.
-3*(r - 1)**2*(r + 1)*(r + 2)
Let k(d) = 2*d**3 + 18*d**2 - 178*d - 6. Let n(s) = -2*s**3 - 18*s**2 + 177*s + 9. Let p(t) = -6*k(t) - 4*n(t). Determine l so that p(l) = 0.
-15, 0, 6
Let u(m) be the first derivative of -4*m**3/3 + 4*m**2 + 60*m + 3651. Factor u(c).
-4*(c - 5)*(c + 3)
Let t(o) = 67*o - 1470. Let i be t(22). Let y(p) be the first derivative of -1/24*p**i + 1/4*p**2 + 1/3*p + 5 + 0*p**3. Find d such that y(d) = 0.
-1, 2
Suppose -14*i + 36 = -20. What is b in 50 - 95*b + 57*b**2 - 10*b**3 - 3*b**3 + 11367*b**4 - 11366*b**i = 0?
1, 2, 5
Let x(t) be the third derivative of t**6/24 + 253*t**5/6 + 39040*t**4/3 - 327680*t**3 + 32*t**2 + 4*t - 2. Factor x(y).
5*(y - 6)*(y + 256)**2
Let w = -4649/3 + 148795/96. Let z(k) be the first derivative of -w*k**4 + 3/40*k**5 - 3/4*k - 28 + 1/8*k**3 + 9/16*k**2. Factor z(v).
3*(v - 2)*(v - 1)**2*(v + 1)/8
Let h(c) = c**4 + c**3 - 2*c**2 + c + 19. Let i(p) = -10*p**4 - 9*p**3 + 25*p**2 - 15*p - 171. Let l(d) = -36*h(d) - 4*i(d). Factor l(q).
4*q*(q - 2)*(q - 1)*(q + 3)
Let -594/17 + 2/17*d**3 - 78/17*d**2 + 414/17*d = 0. What is d?
3, 33
Let a be 12*(42/(-12) - -4). Suppose -2*q + 0 - 10 = -2*d, 4*q = -3*d - 6. Let 11*s - s**d + 10*s - a - 28*s = 0. Calculate s.
-6, -1
Let a = -55 + 58. Suppose -1 - 7 = 2*g + 4*f, a*g - 5*f - 32 = 0. Factor 211*u**g + 3*u**5 + 6*u**2 + 0*u**5 - 3*u**2 - 3*u**3 - 214*u**4.
3*u**2*(u - 1)**2*(u + 1)
Let x(c) be the third derivative of 2*c**7/105 + 61*c**6/120 - 121*c**5/60 - 17*c**4/12 + 4*c**2 + 103*c. Factor x(r).
r*(r - 2)*(r + 17)*(4*r + 1)
Factor -3/7*y**2 - 723/7*y - 1434/7.
-3*(y + 2)*(y + 239)/7
Let r be (-363)/(-18) + 1*1/(-6). What is d in r*d**3 + 4 + 18*d**3 - 8*d - 60*d**3 + 5*d**2 + 21*d**3 = 0?
1, 2
Let n be 25/30*