 + 85*j + 23. Let q be f(z). Factor -6/7*n + 0 + 3*n**q + 27/7*n**3.
3*n*(n + 1)*(9*n - 2)/7
Let c = -295559/180 - -1642. Let o(t) be the third derivative of 0*t + 6*t**2 + c*t**6 + 0 + 0*t**4 + 1/30*t**5 + 0*t**3. Factor o(p).
2*p**2*(p + 3)/3
Let -128*d**2 + 2978 + 129*d**2 + 2332*d - 1222*d + 1869*d = 0. What is d?
-2978, -1
Let g be 108/(-66) - (-82)/((-43296)/(-5220)). Let -3/4*b**2 + g*b - 15/2 = 0. What is b?
1, 10
Let c be (-1 + 0)/((-1166)/1060). Let d(n) be the first derivative of 8 - 20/11*n**2 + 10/11*n**4 - 8/11*n - 14/11*n**3 + c*n**5. Solve d(s) = 0.
-1, -2/5, 1
Suppose 95/3*r - 11/3*r**3 - 23/3*r**2 - 1/3*r**4 + 100 = 0. Calculate r.
-5, -4, 3
Let u(n) be the second derivative of 3*n**5/20 - 33*n**4/4 + 43*n**3 + 180*n**2 + 20*n + 146. Factor u(i).
3*(i - 30)*(i - 4)*(i + 1)
Factor -5369 - 3*h - 3*h**2 - 5383 + 10788.
-3*(h - 3)*(h + 4)
Let -138*a**3 - 4876*a - 9/7*a**4 - 26557/7*a**2 - 11236/7 = 0. What is a?
-53, -2/3
Let a(p) be the first derivative of -7*p**4/6 - 3*p**3 - 2*p**2 - 68*p + 38. Let b(i) be the first derivative of a(i). Factor b(d).
-2*(d + 1)*(7*d + 2)
Let t(r) be the third derivative of -r**7/1050 + 13*r**6/600 + 11*r**5/25 + 22*r**4/15 - 32*r**3/3 - 1801*r**2. Factor t(f).
-(f - 20)*(f - 1)*(f + 4)**2/5
Let c = -198 + 369. Suppose -4 = 4*o, 0 = -2*j - 5*o + 38 + c. Determine i, given that -j*i - 25 + 220*i - 108*i + 20*i**2 = 0.
-5/4, 1
Let b(y) = -17*y**4 + 407*y**3 + 819*y**2 - 21. Let p(f) = -15*f**4 + 408*f**3 + 822*f**2 - 18. Let g(i) = -6*b(i) + 7*p(i). Factor g(h).
-3*h**2*(h - 140)*(h + 2)
What is o in 0 + 6/7*o + 2/7*o**2 = 0?
-3, 0
Suppose 2 - 436 = -14*c. Suppose 10*z**2 + 29*z**3 - 40*z - c*z**3 + 7*z**3 = 0. What is z?
-4, 0, 2
Let m(l) = 7 + 10*l - 40 + 11 - 4*l - l**2 + 11. Let b(h) = 10 - 3*h + 3*h - 6*h. Let c(x) = 3*b(x) + 2*m(x). Let c(u) = 0. What is u?
-4, 1
Suppose 0 = 70*d - 0*d - 1498 - 42. Let i(k) be the first derivative of -7/13*k**2 + 6/13*k - d + 4/39*k**3. Factor i(z).
2*(z - 3)*(2*z - 1)/13
Let i = -644/59 + 9778/885. Suppose -2/15 - 4/15*o - i*o**2 = 0. What is o?
-1
Factor -437*a**3 + 735*a**2 + 56*a**4 - 253*a**3 - 50*a**5 - 1265*a + 390 + 45*a**5 + 54*a**4 + 725*a**2.
-5*(a - 13)*(a - 6)*(a - 1)**3
Let t(u) = -4*u**3 - 80*u**2 + 186*u. Let g(d) = -2*d**3 - 53*d**2 + 132*d. Let v(m) = -10*g(m) + 7*t(m). Solve v(c) = 0.
-3, -3/4, 0
Let d = 2/120155 + 120089/3965115. Let r(j) be the second derivative of 33*j - d*j**3 - 2/33*j**4 - 1/110*j**5 + 6/11*j**2 + 0. Factor r(q).
-2*(q - 1)*(q + 2)*(q + 3)/11
Let j(r) be the first derivative of -r**4/2 - 2*r**3/3 + 21*r**2 + 90*r + 3403. Let j(l) = 0. What is l?
-3, 5
Factor 2*g**5 - 4*g**5 - 29*g**2 + 20*g**4 + 60*g**2 + 22*g**3 - 31*g**2.
-2*g**3*(g - 11)*(g + 1)
Solve -34/11*j**2 + 56 + 248/11*j - 2/11*j**3 = 0.
-22, -2, 7
Let u(v) be the third derivative of -101*v**7/210 - 17*v**6/10 + 97*v**5/60 + 17*v**4/2 + 2*v**3/3 - 80*v**2. Find w, given that u(w) = 0.
-2, -1, -2/101, 1
Let v = -4/81 - -182/405. Let b(z) = 9*z + 66. Let r be b(-7). Factor v*w**r + 14/5*w**2 + 6*w + 18/5.
2*(w + 1)*(w + 3)**2/5
Let 535/4*i**3 - 5/4*i**5 - 515*i + 40*i**4 - 145/2*i**2 - 350 = 0. Calculate i.
-2, -1, 2, 35
Solve 1767/5*z**2 - 3546/5*z + 0 + 3/5*z**3 = 0.
-591, 0, 2
Suppose 2156*f - 715*f - 4323 = 0. Determine q so that 4/7*q**2 - 6/7*q + 0 + 2/7*q**f = 0.
-3, 0, 1
Factor -51200 - 320*g - 1/2*g**2.
-(g + 320)**2/2
Let g(v) = -v + 1. Let p be 33/77 - (-12)/21. Let b(k) = k**2 - k. Let o(w) = p*b(w) + 6*g(w). Find y such that o(y) = 0.
1, 6
Let -54/5 - 26/5*j**4 - 432/5*j**2 + 324/5*j + 188/5*j**3 = 0. Calculate j.
3/13, 1, 3
Suppose 6/11*w**2 + 58/11 + 16*w = 0. Calculate w.
-29, -1/3
Let h(b) be the third derivative of 5*b**8/336 + b**7/2 + 131*b**6/24 + 53*b**5/4 - 225*b**4/2 - 810*b**3 - 1138*b**2. Determine c, given that h(c) = 0.
-9, -3, -2, 2
Let w(f) be the second derivative of 0*f**4 + 0*f**2 + 0 + 0*f**5 - f**3 + 7*f + 1/72*f**6. Let n(o) be the second derivative of w(o). Factor n(b).
5*b**2
Let t(r) be the third derivative of -r**6/300 + 19*r**5/3 - 1897*r**4/60 + 316*r**3/5 + 2853*r**2. Solve t(d) = 0 for d.
1, 948
Let n(f) be the first derivative of -f**8/840 - 2*f**7/35 - f**6 - 20*f**5/3 + 63*f**2/2 + 51. Let b(q) be the second derivative of n(q). Factor b(l).
-2*l**2*(l + 10)**3/5
Let h(z) be the first derivative of -3*z + 1/2*z**2 + 1/30*z**6 + 0*z**5 - 13 - 1/6*z**4 + 0*z**3. Let n(p) be the first derivative of h(p). Factor n(q).
(q - 1)**2*(q + 1)**2
Let 49/4*k**3 + 129*k**2 + 324 + 1/4*k**4 + 441*k = 0. What is k?
-36, -6, -1
Let t = -222379/2 + 111193. Let 1/8*j - 1/8*j**3 + t*j**2 - 7/2 = 0. What is j?
-1, 1, 28
Find f such that -131/8*f + 1/8*f**2 + 65/4 = 0.
1, 130
Let x = 3189421/390 + -8178. Let f(h) be the third derivative of 5/156*h**4 + 0 - 4/39*h**3 - x*h**5 + 4*h**2 + 0*h. Factor f(q).
-2*(q - 4)*(q - 1)/13
Let 7/9*z**5 - 56/9*z**3 + 256/9 - 128/9*z**2 + 112/9*z + 16/9*z**4 = 0. Calculate z.
-16/7, -2, 2
Let m = 289 - 291. Let x(v) = 10*v**3 + 8*v**2 + 37*v + 11. Let h(d) = -d**3 - d**2 - 3*d - 1. Let g(a) = m*x(a) - 22*h(a). Factor g(n).
2*n*(n - 1)*(n + 4)
Let s be -4*(2095/175 + -12)/((-8)/(-14)). Let r = -6 - -9. Suppose 0*o**2 - 1/5*o**r + 0 + s*o = 0. Calculate o.
-1, 0, 1
Let w(p) be the first derivative of p**6/2 + 126*p**5/25 + 213*p**4/20 - 18*p**3/5 - 114*p**2/5 - 72*p/5 - 185. Determine o so that w(o) = 0.
-6, -2, -1, -2/5, 1
Let f(a) be the second derivative of -a**7/6300 - 11*a**6/1800 - a**4/2 + a**3/6 + 3*a + 4. Let j(v) be the third derivative of f(v). What is r in j(r) = 0?
-11, 0
Let g(s) be the first derivative of 276*s**2 - 2116/3*s**3 - 36*s + 32. Factor g(j).
-4*(23*j - 3)**2
Suppose 5*y - 18 = 5*g - 3, 2*y + g = -6. Let z be y*-4*(-1)/(-52) + 1. Find s such that 2/13*s**3 - 10/13 + 22/13*s - z*s**2 = 0.
1, 5
Let q be 10*6/(-75)*-5. Factor 6*k**2 + 2*k**2 + q - 2*k - 4*k**2 - 6*k.
4*(k - 1)**2
Suppose 3*z + 107 = 4*s, -s + 112 - 11 = -3*z. Let n be z/3 - 77/(-11) - -4. Find x such that n*x**2 + 3/2*x - 3/4*x**4 + 3/4 - 3/2*x**3 = 0.
-1, 1
Factor -16*l**2 + 576/5 - 4/5*l**3 - 112/5*l.
-4*(l - 2)*(l + 4)*(l + 18)/5
Suppose 0 = -g - 141*b + 143*b + 25, -80 = -6*g + 5*b. Suppose -3/5*t**2 + 9/5*t**3 + 0 - 3/5*t + 6/5*t**g + 3*t**4 = 0. What is t?
-1, 0, 1/2
Suppose -22*q = q - 6417. Solve -57417*v**3 - 8100*v**2 - 2980*v**2 - 31956*v**3 - 3 - q*v + 2431*v**2 = 0 for v.
-1/31
Let s(u) = 3*u**3 - 28*u**2 - 20*u + 72. Let k be s(10). Let m be (9/k*0)/(-2). Solve 2/7*g**2 + m*g + 0 = 0.
0
Factor -2/3*m**2 - 1/3*m**3 + 0 - 1/3*m.
-m*(m + 1)**2/3
Suppose 3*v + 17 = -5*h + 18, 2*v + 4 = -h. Let b be (-2)/12 - 2/v. Determine i, given that b*i**3 + 0 - i**2 + 1/2*i = 0.
0, 1
Factor 60/13*w + 350/13 - 2/13*w**2.
-2*(w - 35)*(w + 5)/13
Let h = 1959 - 1959. Let w(t) be the third derivative of -1/390*t**5 + h*t + 3*t**2 - 1/156*t**4 + 0 + 0*t**3. Solve w(i) = 0.
-1, 0
Let g(z) be the first derivative of 13/2*z**2 + 4 - 1/60*z**5 + 1/24*z**4 + 0*z + 0*z**3. Let m(x) be the second derivative of g(x). Factor m(n).
-n*(n - 1)
Let p be -9*(3 - 58/18). Suppose p*w - w = 5. Find r, given that -w - 5*r**2 + 5 = 0.
0
Let n(t) be the first derivative of 6*t - 1/3*t**3 + 1/2*t**2 + 102. Determine f so that n(f) = 0.
-2, 3
Let v = 2615 - 2611. Let a(c) be the third derivative of 0*c - 4*c**2 + 1/1680*c**7 + 0 - 1/960*c**6 + 0*c**3 - 1/64*c**v - 1/96*c**5. Solve a(x) = 0 for x.
-1, 0, 3
Let q = 38 + -34. Suppose 0 = 5*i - 4*k - 3, 3*k = -q*i + 2*k + 15. What is f in -2*f**2 + 3*f**2 - f + i*f**2 + 5*f = 0?
-1, 0
Let r(w) be the first derivative of 57 - 1/25*w**5 - 1/20*w**4 + 0*w**2 + 4/5*w**3 + 0*w. Factor r(s).
-s**2*(s - 3)*(s + 4)/5
Factor 63*m - m**5 - 37*m**4 - 52*m**2 + 8*m**3 - 6*m**2 - 50*m**2 + 57*m**4 + 18*m**3.
-m*(m - 21)*(m - 1)**2*(m + 3)
Let 332/3*b - 160 + 152/3*b**2 - 4/3*b**3 = 0. Calculate b.
-3, 1, 40
Let f(t) be the second derivative of -t**6/270 + 2*t**5/9 + 217*t**4/108 + 178*t**3/27 + 10*t**2 + 10*t - 230. Let f(b) = 0. What is b?
-2, -1, 45
Factor 64/3*s**2 + 0 - 20*s - 19/3*s**3 + 1/3*s**4.
s*(s - 15)*(s - 2)**2/3
What is d in 2/3*d + 28/3 - 7/3*d**2 - 1/6*d**3 = 0?
-14, -2, 2
Let x(t) be the first derivative of 2*t**3/3 - 128*t**2 - 786*t - 352. Find g, given that x(g) = 0.
-3, 131
Let v(j) b