+ 0 + 18*s. Factor y(f).
-f*(f - 1)/5
Let h(k) be the third derivative of 180*k**2 + 0*k + 1/4*k**5 - 15/8*k**4 + 25/6*k**3 + 0 + 1/24*k**6. Factor h(u).
5*(u - 1)**2*(u + 5)
Let p be (-36*(-17)/1020)/(37/1554). Let 33/5*w - p + 3/5*w**2 = 0. Calculate w.
-14, 3
Let z(b) = -b**2 + 45*b - 40. Let k be z(44). Suppose -3*h - 21 = k*x - 41, 0 = -h + 4*x - 4. Suppose -24*s + 3/2*s**h + 0*s**2 + 6*s**3 - 24 = 0. What is s?
-2, 2
Let u be 945/(-1134)*(2 - 4). Let d(o) be the first derivative of -8 - o**5 + 15/4*o**4 - 15/2*o**2 + 10*o - u*o**3. Determine v, given that d(v) = 0.
-1, 1, 2
Suppose 135/2*u**3 + 5/2*u**4 - 140*u + 0 - 75*u**2 = 0. Calculate u.
-28, -1, 0, 2
Let w(y) be the third derivative of -1/8*y**3 - 3/160*y**5 - 5/64*y**4 + 0*y + 158*y**2 + 0. What is b in w(b) = 0?
-1, -2/3
Let f(l) = 56*l**4 + 64*l**3 - 48*l**2 - 52*l + 16. Let v(r) = r**5 + 113*r**4 + 129*r**3 - 95*r**2 - 103*r + 36. Let z(g) = -9*f(g) + 4*v(g). Solve z(a) = 0.
-1, 0, 1, 14
Let n = 297 + -576. Let b be (-2*1)/(n/62). Solve -16/9 - 2/9*w**3 + 8/9*w + b*w**2 = 0 for w.
-2, 2
Let k(o) = -14*o**2 + 56*o - 374. Let t(g) = -5*g**2 + 18*g - 124. Let m(z) = -6*k(z) + 17*t(z). Let m(u) = 0. Calculate u.
-34, 4
Let o = 12/342409 + 988877084/3081681. Let o + 2/9*d**2 + 152/9*d = 0. What is d?
-38
Let o(z) = z**2 + z + 2. Let j be o(0). Suppose -697*v + 65 = -684*v. What is h in 0*h + v*h - h + 0*h**j + 4*h**2 = 0?
-1, 0
Let w(l) be the third derivative of l**8/1344 - 3*l**7/280 + 13*l**6/240 - 17*l**5/120 + 7*l**4/32 - 5*l**3/24 - l**2 - 1358. Factor w(q).
(q - 5)*(q - 1)**4/4
Suppose 2153*s = 2152*s + 4*u + 63, 132 = 4*s - 8*u. Factor -48*r**s - 228/5*r**2 + 15*r**4 + 0 - 48/5*r.
3*r*(r - 4)*(5*r + 2)**2/5
Let g(p) be the first derivative of -18/11*p**3 + 152 + 0*p - 5/22*p**4 - 10/11*p**2. Let g(c) = 0. What is c?
-5, -2/5, 0
Let x(g) be the third derivative of 0*g + 5/2*g**3 - 1/12*g**5 - 5/12*g**4 + 0 + 80*g**2. Factor x(d).
-5*(d - 1)*(d + 3)
Let l(d) = -d**3 + d**2 - d - 1. Let t(p) be the first derivative of -8*p**2 - p**5 + 4*p**3 - 7*p - 30 - 1/2*p**4. Let z(u) = 18*l(u) - 2*t(u). Factor z(c).
2*(c - 1)**2*(c + 1)*(5*c - 2)
Let k(t) = t**3 - 7*t**2 - 9*t + 65. Let c be k(8). Suppose -3176*w**2 - 3*w**3 + 3 + 3200*w**2 + 27 + c*w = 0. Calculate w.
-1, 10
Let o(p) be the second derivative of -p**7/1680 - 11*p**6/1080 + p**5/45 - 5*p**3/6 - 4*p**2 + 3*p - 8. Let t(x) be the second derivative of o(x). Factor t(r).
-r*(r + 8)*(3*r - 2)/6
Factor 80*k - 1113*k**3 - 2445*k**2 - 338*k - 744*k - 223*k - 102*k**3 + 5*k**4.
5*k*(k - 245)*(k + 1)**2
Solve 21*u - 12 - 14/3*u**2 - 13/3*u**3 = 0.
-3, 12/13, 1
Let j(r) be the first derivative of -57*r**5/5 - 267*r**4/4 - 103*r**3 - 45*r**2/2 + 54*r - 2112. Suppose j(y) = 0. Calculate y.
-3, -1, 6/19
Suppose -3*o + 4*o = 38. Suppose 18*w - o - 16 = 0. Factor -3*s**3 + 3/2*s**4 + 0*s**2 - 3/2 + w*s.
3*(s - 1)**3*(s + 1)/2
Let i(z) be the third derivative of -z**6/1140 + 59*z**5/285 + 239*z**4/228 + 40*z**3/19 - 646*z**2 + z + 1. Factor i(g).
-2*(g - 120)*(g + 1)**2/19
Let -1075/4*f - 231/4*f**2 + 33/2 = 0. What is f?
-33/7, 2/33
Suppose 2*s = -0*s + 3*v + 19, 18 = -s - 4*v. Suppose 9*u**3 - 29*u + u**3 - u - 5*u**4 + 14*u**s + 11*u**2 = 0. Calculate u.
-2, 0, 1, 3
Let z(q) be the second derivative of -q**6/150 + 203*q**5/50 + 34*q**4/5 - 203*q**3/15 - 407*q**2/10 + 72*q + 2. Find v, given that z(v) = 0.
-1, 1, 407
Factor -13923/8*n - 51/8*n**3 - 855/4*n**2 + 867.
-3*(n + 17)**2*(17*n - 8)/8
Let g(v) be the third derivative of -v**5/120 + v**4/8 + 55*v**3/12 - 1497*v**2. Solve g(o) = 0.
-5, 11
Let d = 533 - 446. Find z such that -64*z - 5*z**3 + 19*z - 40*z**2 + d + 3 = 0.
-6, -3, 1
Let h(f) be the first derivative of 213 - f**5 - 5*f**2 + 5*f + 0*f**3 + 5/2*f**4. Solve h(b) = 0 for b.
-1, 1
Let g(d) be the third derivative of d**6/480 + 38*d**5/15 + 1213*d**4/96 + 101*d**3/4 - 2530*d**2. Determine w, given that g(w) = 0.
-606, -1
Let g(p) be the first derivative of -3*p**5/20 - 3*p**4/4 + p**3/2 + 9*p**2/2 + 92*p + 95. Let r(i) be the first derivative of g(i). Factor r(k).
-3*(k - 1)*(k + 1)*(k + 3)
Let n(r) = -18*r**3 + 37*r**2 + 31*r - 15. Let c(s) = -5*s**3 + 9*s**2 + 8*s - 4. Let j(p) = 15*c(p) - 4*n(p). Factor j(u).
-u*(u + 4)*(3*u + 1)
Let a(c) be the second derivative of c**7/70 - 3*c**6/10 + 69*c**5/100 + 43*c**4/20 - 24*c**3/5 - 78*c**2/5 + 2*c - 635. Let a(z) = 0. What is z?
-1, 2, 13
Factor 412*l**2 + 1678512 - 185*l**2 - 1344315*l - 329709*l - 3*l**3 - 2591*l**2 - 2121*l**2.
-3*(l - 1)*(l + 748)**2
Let t = -183002 + 183004. Factor 1/2*f**t - 1/2*f**4 + 0 + 3/2*f - 3/2*f**3.
-f*(f - 1)*(f + 1)*(f + 3)/2
Let d(u) be the second derivative of u**5/10 - 142*u**4/3 + 281*u**3/3 + 566*u**2 - 268*u. Let d(r) = 0. Calculate r.
-1, 2, 283
Let u = -1015/12 + 345/4. Let x(g) be the second derivative of -7/6*g**4 - g**2 + 12*g + u*g**3 + 3/10*g**5 + 0. Factor x(p).
2*(p - 1)**2*(3*p - 1)
Let f be (-26)/(-9) - 69/(-621). Suppose -3*d = -f, -35*z + 32*z = 2*d - 17. Factor 2/5*j**2 + 0 + 0*j**3 + 1/5*j**z - 2/5*j**4 - 1/5*j.
j*(j - 1)**3*(j + 1)/5
Let f(u) be the third derivative of 3/35*u**5 - 2/735*u**7 + 1/6*u**4 + 0*u - 16/21*u**3 + 159*u**2 - 1/30*u**6 + 0. What is o in f(o) = 0?
-8, -1, 1
Solve v**2 + v**3 + 0*v**2 + 29*v**2 + 48*v + 2*v**3 = 0.
-8, -2, 0
Let r(k) be the third derivative of 0*k**3 - 2*k**2 - 1/10*k**5 + 0*k**4 + 1/180*k**6 + 0 - 6*k. Factor r(q).
2*q**2*(q - 9)/3
Let l(c) be the third derivative of c**6/32 + 11*c**5/80 - 21*c**4/32 - 27*c**3/8 + 10*c**2 + 15. Solve l(h) = 0.
-3, -1, 9/5
Let u = -30754 - -30758. Let h(d) be the third derivative of -343/8*d**3 - 1/160*d**6 + 2*d**2 + 0*d - 147/32*d**u - 21/80*d**5 + 7. Let h(t) = 0. What is t?
-7
Let u(n) = -6*n - 58. Let l be u(-9). Let j be 7 + -4 + -1*(-3 - l). Factor 0*s**j + 2553*s - 16 + 2*s**2 - 2567*s.
2*(s - 8)*(s + 1)
Let j be 812/3120 + 59/(-236). Let m(b) be the third derivative of 0 + 6*b**2 - 5/156*b**4 - 1/780*b**6 + j*b**5 + 0*b + 2/39*b**3. Factor m(l).
-2*(l - 2)*(l - 1)**2/13
Let t(h) be the third derivative of -h**5/12 - 35*h**4/8 + 55*h**3/3 + 2*h**2 + 1335*h. Factor t(d).
-5*(d - 1)*(d + 22)
Let t be 0 - (50 + -51)*20/50. Factor t + 3/5*h - h**2.
-(h - 1)*(5*h + 2)/5
Determine u, given that -147*u**2 + 320*u**2 - 291*u**2 + 456*u - 46*u**3 - 15*u**4 - 138*u**2 - 2*u**5 + 39*u**4 + 1120 = 0.
-2, 4, 5, 7
Let p be ((-2)/(-16)*1)/(1101/26424). Factor 0 - 3/4*f**2 - 3/2*f + 3/4*f**4 + 3/2*f**p.
3*f*(f - 1)*(f + 1)*(f + 2)/4
Let p be 1026/(-27) - (-6665)/172. Factor p*i**3 + 36*i + 33 + 45/4*i**2.
3*(i + 2)**2*(i + 11)/4
Let u(d) = d**2 - 4. Let j(t) = -10*t**2 - 65*t - 40. Let z(v) = j(v) - 5*u(v). Factor z(f).
-5*(f + 4)*(3*f + 1)
Let w(c) be the third derivative of c**7/20 - 5*c**6/16 + 29*c**5/40 - 11*c**4/16 + 14*c**2 - 2*c. Find i such that w(i) = 0.
0, 1, 11/7
Let b(n) be the first derivative of -n**4/6 + n**2 + 41*n - 37. Let p(x) be the first derivative of b(x). Factor p(u).
-2*(u - 1)*(u + 1)
Suppose 11*w = 29 + 26. Let -9*y - 12*y**4 - 15*y**5 + 15*y**5 + 6*y**3 + 3*y**w + 12*y**2 = 0. Calculate y.
-1, 0, 1, 3
Suppose 7 = -11*l + 12*l. What is r in 1395*r - l + 3*r**3 - 1404*r + 61 - 12*r**2 = 0?
-2, 3
Let p(w) be the second derivative of w**5/5 + 689*w**4/3 - 9*w - 3. Factor p(l).
4*l**2*(l + 689)
Let z(t) be the third derivative of t**5/20 + 57*t**4/8 - 90*t**3 - 447*t**2. Determine s, given that z(s) = 0.
-60, 3
Let d(q) = 19*q**2 + 7*q - 1. Let c be d(-1). Solve 778 + 9*o**2 - 774 - o**4 + c*o + 3*o**3 - 2*o**3 = 0 for o.
-1, 4
Let c = 675 + -670. Suppose 0 = -10*v - c*v. Factor 2/5*h**3 + 0*h**2 + v - 2/5*h**4 + 0*h.
-2*h**3*(h - 1)/5
Factor -52*j**3 + 1064*j**2 + 2/3*j**4 - 5776/3*j + 0.
2*j*(j - 38)**2*(j - 2)/3
Let u = -1707 + 1717. Let w(d) be the first derivative of -1/9*d**3 + 0*d + 0*d**2 + u + 1/12*d**4. Factor w(k).
k**2*(k - 1)/3
Let s = -5 - -27. Let x = 25 - s. Factor 6*n + 7*n + x*n - 25*n**2 - 21*n.
-5*n*(5*n + 1)
Let x(l) be the third derivative of l**7/70 - 26*l**6/5 - 209*l**5/20 + 6406*l**2. Factor x(n).
3*n**2*(n - 209)*(n + 1)
Let f = -44 - 61. Let y = f - -211/2. Let 5/4*l - y + 1/4*l**3 - l**2 = 0. What is l?
1, 2
Let z be (-14620)/731 + 20 + 6 + -3. Factor 8/5*q - 8/5*q**2 - 2/5*q**z + 2/5*q**4 + 0.
2*q*(q - 