. Let o(t) be the first derivative of c(t). Factor o(g).
-5*(g + 1)*(g + 3)
Let v = 324 - 325. Let w be v/10 + (-2639)/(-8190). Factor -w*y**4 - 8/9*y**3 + 4/9*y**2 - 2 + 8/3*y.
-2*(y - 1)**2*(y + 3)**2/9
Let a = 2051 + -1432. Let s = a - 614. Factor -2/11*t + 0*t**3 - 4/11*t**4 + 4/11*t**2 + 0 + 2/11*t**s.
2*t*(t - 1)**3*(t + 1)/11
Let q(w) be the second derivative of -w**4/4 - 523*w**3/2 - 1563*w**2 - 66*w + 52. Suppose q(t) = 0. Calculate t.
-521, -2
Let v be 25/5 + (-15)/5. Factor -3*y**v + 5*y**5 - y**5 - 14*y**3 - 100 + 100 - 7*y**4.
y**2*(y - 3)*(y + 1)*(4*y + 1)
Solve -1/5*b**2 + 0 - 121/5*b = 0.
-121, 0
Let q(p) = p**4 + 5*p**2 - 3*p - 3. Let k(x) = 5 - x**4 - 544*x + 549*x - 7*x**2 - 2*x**2. Let j(i) = -3*k(i) - 5*q(i). Factor j(o).
-2*o**2*(o - 1)*(o + 1)
Let c be (0 - 1/2) + 5135/(-1170). Let a = -14/3 - c. Determine n so that -2/9*n**2 - a*n + 4/9 = 0.
-2, 1
Let k be 2 + (4 + -8)*-1. Let f be (1/2)/(k/36). What is s in 2*s**4 - f + 8*s**2 - 6*s**4 - 1 = 0?
-1, 1
Suppose -2130*n + 2136*n = 18. Suppose -8*l + n*l = -14*l. Factor 0 + l*w**2 + 2/3*w**5 + 0*w + 4/3*w**3 + 2*w**4.
2*w**3*(w + 1)*(w + 2)/3
Let p(r) be the first derivative of -5*r**6/6 - 10*r**5 + 355*r**4/4 - 100*r**3 + 7814. Determine f, given that p(f) = 0.
-15, 0, 1, 4
Factor 412/3 - 416/3*w + 4/3*w**2.
4*(w - 103)*(w - 1)/3
Let k(d) be the second derivative of -5/84*d**4 - 1/21*d**3 - 20 + 0*d**2 + d - 1/210*d**6 - 1/35*d**5. Factor k(l).
-l*(l + 1)**2*(l + 2)/7
Let b(s) be the third derivative of -s**5/20 - 11*s**4/2 - 483*s**3/2 - 4318*s**2 - s. Factor b(v).
-3*(v + 21)*(v + 23)
Let 16/7*h + 92/7*h**3 - 9/7*h**5 + h**4 + 0 + 92/7*h**2 = 0. Calculate h.
-2, -1, -2/9, 0, 4
Let k = 1 - -1. Let l(g) = g**3 + 27*g**2 - 273*g - 3613. Let r be l(-32). Factor -2/11*d**r - 2*d - 10/11 - 14/11*d**k.
-2*(d + 1)**2*(d + 5)/11
Let z(g) be the first derivative of g**3/12 + 99*g**2/4 + 585*g/4 - 1379. What is t in z(t) = 0?
-195, -3
Let o(d) be the second derivative of d**5/170 - 3*d**4/34 + 20*d**3/51 - 11*d - 9. Factor o(t).
2*t*(t - 5)*(t - 4)/17
Let w be 1/(2/(-8)*-2). Suppose -3*h - 12 = -2*r, -r + 5*h + 390 = 398. Factor -10*g - r*g - 5*g + 23*g + 2*g**2 + w.
2*(g - 1)**2
Let i(n) = n**2 - 52*n + 142. Let s(c) = c**2 - 50*c + 144. Let j(p) = -4*i(p) + 5*s(p). Factor j(y).
(y - 38)*(y - 4)
Let c(u) be the first derivative of -2*u**3/3 + u - 13. Let m(p) = 3*p**2 + 11*p - 12. Let l(i) = 6*c(i) + 3*m(i). Factor l(z).
-3*(z - 10)*(z - 1)
Factor -28/17 + 2/17*l**2 + 10/17*l.
2*(l - 2)*(l + 7)/17
Let h = 11 + 31. Let q = h + -40. Let 5*c**4 + 705 - 705 - q*c**4 = 0. Calculate c.
0
Let 39/2*q**2 + 0*q**3 + 0*q - 3/4*q**4 - 75/4 = 0. What is q?
-5, -1, 1, 5
Let s(w) be the third derivative of -2/35*w**7 + 0*w**4 - 1/15*w**6 + 0*w + 0*w**5 - 1/84*w**8 + 0*w**3 - 127*w**2 + 0. Solve s(u) = 0.
-2, -1, 0
Let z be ((-40)/8)/(-1) + 98/42. Determine y so that -20/3*y + 2/3*y**2 - z = 0.
-1, 11
Factor -57/5*r - 6*r**3 + 1/10*r**4 + 173/10*r**2 + 0.
r*(r - 57)*(r - 2)*(r - 1)/10
Let i be 1/(-2)*-6 + (3 - 3). Suppose -4*j + 38 = -i*l + 4*l, -4*l + 68 = -5*j. Factor 0*h**4 + h**4 - 23*h**2 + l*h**2.
h**2*(h - 1)*(h + 1)
Factor 140/3*s + 0 - 1/9*s**2.
-s*(s - 420)/9
Let p(x) be the second derivative of -x**5/4 - 17*x**4/4 + 655*x**3/3 + 132*x**2 + 2289*x. Factor p(u).
-(u - 12)*(u + 22)*(5*u + 1)
Solve 5326/5*v - 5324/5*v**2 + 0 - 2/5*v**3 = 0.
-2663, 0, 1
Let v(q) = -3*q**2 - 2093*q + 2091. Let s(k) = 4*k**2 + 3140*k - 3137. Let r(u) = -5*s(u) - 7*v(u). Factor r(w).
(w - 1048)*(w - 1)
Let u = 70898 + -141793/2. Factor -1/2*n**3 + u*n - n**2 + 0.
-n*(n - 1)*(n + 3)/2
Let g(d) be the third derivative of d**6/30 - 16*d**5/5 + 96*d**4 - 3542*d**2. Solve g(x) = 0.
0, 24
Let z(g) be the third derivative of -g**5/90 + 76*g**4/9 - 23104*g**3/9 + 82*g**2 - 3. Factor z(d).
-2*(d - 152)**2/3
Let p(n) be the third derivative of 0*n**3 + 0*n**4 + 1/24*n**5 + 0 + 1/420*n**7 + 0*n - 256*n**2 + 1/40*n**6. Suppose p(w) = 0. What is w?
-5, -1, 0
Suppose -8*i + 9 + 7 = 0. Factor -16 - 12*j - 76*j**3 - 22*j - 100*j**i - 13*j - 4*j**5 - 28*j**4 - 17*j.
-4*(j + 1)**3*(j + 2)**2
Let a(j) be the third derivative of -149*j**2 + 0*j**3 + 0*j**4 - 1/120*j**5 + 0 + 1/672*j**8 + 1/80*j**6 - 1/140*j**7 + 0*j. Find u, given that a(u) = 0.
0, 1
Let i(v) be the third derivative of -1/12*v**5 + v**2 - 5/24*v**4 - 54*v + 0*v**3 + 0. Find x such that i(x) = 0.
-1, 0
Let y(b) be the third derivative of 0 - 28/15*b**5 + 0*b - 8/15*b**6 + 73*b**2 + 31/24*b**4 - 1/3*b**3. Factor y(s).
-(s + 2)*(8*s - 1)**2
Suppose 48*x - 487 = 377. Let j be x/12 - (-60)/5. Factor -4*l**3 - 9*l**2 - 1/2*l**4 + j + 0*l.
-(l - 1)*(l + 3)**3/2
Let n(d) be the third derivative of 0*d + 2/5*d**5 - 4/3*d**3 - 1/28*d**8 + 4/15*d**6 + 13*d**2 + 0 - 8/105*d**7 - 5/6*d**4. Find v such that n(v) = 0.
-2, -1, -1/3, 1
Let s(l) be the third derivative of l**7/70 + 107*l**6/45 + 20821*l**5/180 + 11045*l**4/36 - 108*l**2 - 4. Factor s(z).
z*(z + 47)**2*(9*z + 10)/3
Find l such that 20/11*l + 0 - 54/11*l**2 + 30/11*l**3 - 4/11*l**4 = 0.
0, 1/2, 2, 5
Let g = 0 + 4. Let q = 222 - 219. Factor p**5 + 4240*p**q + 6*p**2 - 5*p - 6*p**4 + 0*p**g - 4236*p**3.
p*(p - 5)*(p - 1)**2*(p + 1)
Let q = -8239 + 18539. Determine s so that -240*s**2 - 5*s**3 + 2590 - q - 12770 - 3840*s = 0.
-16
Let y(z) be the second derivative of z**7/14 + 3*z**6/5 - 21*z**5/20 - z + 116. Find w, given that y(w) = 0.
-7, 0, 1
Find n such that -9*n**4 + 8499*n**3 + n**5 - 8580*n**3 - 60*n + 46*n**2 - 1 - 177*n**2 + 1 = 0.
-4, -1, 0, 15
Let r(i) = 6*i**3 - 943*i**2 + 1917*i - 15. Let b(z) = -4*z**3 + 944*z**2 - 1916*z + 12. Let v(p) = -5*b(p) - 4*r(p). Factor v(h).
-4*h*(h - 2)*(h + 239)
Let k = -64264 - -514113/8. Let -13/4*h**3 - k*h**5 - 1/4*h**2 + 27/8*h + 15/8*h**4 - 13/8 = 0. What is h?
-1, 1, 13
Let q(u) = -u + 16. Let w be q(9). Factor -28*i**2 - 4*i + 23 + 4*i**3 - w + 12 + 0.
4*(i - 7)*(i - 1)*(i + 1)
Let h(f) = 125*f**2 + 12*f + 3. Let g be h(-2). Let t = 2396/5 - g. What is j in 2/5*j**3 - 1/5 + t*j**4 + 0*j**2 - 2/5*j = 0?
-1, 1
Suppose 5*t = 2*t + 12. Suppose 0 = -6*k + 14 + t. Determine g so that -20*g**2 - 1715 + 735*g - 46*g**2 + 5*g**k - 39*g**2 = 0.
7
Let r = 75653 - 75651. Let -1/5*v**3 + 1/5*v - 2/5 + 2/5*v**r = 0. Calculate v.
-1, 1, 2
Let u(p) be the first derivative of -p**6/6 - 82*p**5/5 + 43*p**4/2 + 244*p**3/3 - 413*p**2/2 + 166*p - 4948. Let u(k) = 0. Calculate k.
-83, -2, 1
Let s(b) be the second derivative of 0 + 2/15*b**6 + b**5 + 31*b + 0*b**2 + 8/3*b**4 + 8/3*b**3. Determine x, given that s(x) = 0.
-2, -1, 0
Find z such that 2704390 - 2704390 + 3*z**4 + 9*z**2 - 15*z**3 + 3*z**5 = 0.
-3, 0, 1
Let d(n) be the second derivative of 10816*n**5/5 + 11440*n**4/3 + 422*n**3 + 18*n**2 + 642*n. Factor d(k).
4*(k + 1)*(104*k + 3)**2
Factor -232/11*w + 94/11*w**2 - 56/11 + 18/11*w**3.
2*(w - 2)*(w + 7)*(9*w + 2)/11
What is n in 10*n + 11/2*n**2 - 1/4*n**4 + 0 - 19/4*n**3 = 0?
-20, -1, 0, 2
Let g(s) be the first derivative of -s**3/3 - 11*s**2/2 + 42*s - 728. Factor g(n).
-(n - 3)*(n + 14)
Let b(z) be the third derivative of z**5/10 + 7*z**4/6 + 49*z**3/9 - 261*z**2 - 2*z. Solve b(k) = 0.
-7/3
Let b be (-3)/(-6)*-1*-4. Let -3*x**b + 9*x + 19 - 43 + 18 = 0. Calculate x.
1, 2
Let w(p) be the third derivative of -11/42*p**7 + p**6 + 4*p**2 + 0*p - 5/4*p**5 + 5/12*p**4 + 0*p**3 + 2. Factor w(b).
-5*b*(b - 1)**2*(11*b - 2)
Let x(q) be the second derivative of -q**7/14 - q**6/10 + 3*q**5/20 + q**4/4 - 578*q. Factor x(m).
-3*m**2*(m - 1)*(m + 1)**2
Let t be 16 + -6 - 15 - -7. Let a(p) be the first derivative of 4 - 1/3*p**3 + 3/2*p**t + 0*p. Find y such that a(y) = 0.
0, 3
Let m be 57/171 + (1284/144 - 9). Factor 3/4*p - m*p**2 - 1/2.
-(p - 2)*(p - 1)/4
Let z(o) be the second derivative of 0*o**2 + 0*o**3 - 2*o - 20/3*o**4 + 37 - 2/15*o**6 + 12/5*o**5. Solve z(w) = 0 for w.
0, 2, 10
Suppose 5*x - 396 = 2*x. Factor 67 + 29 + x*d**2 + 4*d**4 - 176*d - 40*d**3 - 16.
4*(d - 5)*(d - 2)**2*(d - 1)
Find w, given that 480/7*w**4 - 164*w**3 + 124/7*w**2 + 80/7 + 464/7*w = 0.
-2/5, -5/24, 1, 2
Let g = 486079 + -972153/2. Find d, given that 0 - 40*d**3 - 20*d**2 - g*d = 0.
-1/4, 0
Let p(i) be the third derivative of i**8/7 + 4*i**7/35 - 23*i**6/40 - 3*i**5/10 + 9*i**4/8 + 773*i**2. Let p(g) = 