4 - 380/9*g**r + 20/3*g**3 + 2/9*g**5 + 50*g.
2*(g - 1)**3*(g + 9)**2/9
Let j = 42 - 17. Factor j*q**3 - 40*q**2 - 44*q**3 + 15*q**3.
-4*q**2*(q + 10)
Let m(w) be the second derivative of -2/7*w**3 - 13/84*w**4 - 2/7*w**2 - 1/210*w**6 + 2 - 27*w - 3/70*w**5. Factor m(d).
-(d + 1)**2*(d + 2)**2/7
Let p = 1/19259 + 39731308/173331. Let o = p + -227. Factor 2/9*f**5 + o*f**2 + 14/3*f - 2/3*f**4 - 4/3*f**3 + 2.
2*(f - 3)**2*(f + 1)**3/9
Let s(i) = -10*i**3 + 166*i**2 - 1238*i - 1478. Let w(q) = q**3 + q**2 - q + 7. Let c(a) = -s(a) - 8*w(a). Factor c(j).
2*(j - 79)*(j - 9)*(j + 1)
Let 6*n + 60/11*n**2 - 6/11*n**3 + 0 = 0. Calculate n.
-1, 0, 11
Let g be -5*(77/15 + -5)*-3. Let r(l) = l - 5. Let u be r(5). Factor -g*n**3 + 4/3*n**2 + 0 + u*n.
-2*n**2*(3*n - 2)/3
Let x(w) be the second derivative of w**5/20 - 5*w**4/12 + 7*w**3/6 - 3*w**2/2 + 77*w - 2. Let c be x(3). Factor c + 2/5*a**2 + 2*a.
2*a*(a + 5)/5
Let o(v) = 3*v + 9*v**3 - 5*v**2 + 10*v**3 + 2*v**3. Let f be o(2). Solve -34*q**3 + 5*q**2 + 79*q**2 + 4*q**4 - f - 2*q**3 - 76*q + 178 = 0 for q.
1, 6
Suppose 0 = 2*f - 45 + 35. Let c be (-2 + f)/((-3)/(-4)). Factor -3*q**3 - 78*q + 0*q**3 - 3*q**c + 78*q.
-3*q**3*(q + 1)
Let l(u) be the first derivative of -u**4/14 - 196*u**3/3 - 116265*u**2/7 + 952200*u/7 - 2565. Factor l(i).
-2*(i - 4)*(i + 345)**2/7
Let b = -439 - -10939/25. Let t = 247/50 + b. Factor 1/2*a**2 + 0*a + 0 - t*a**3.
-a**2*(7*a - 1)/2
Let q(f) = -4*f**3 + 7*f**2 - 2*f + 2. Let x(c) = 37*c - 18*c + 1 - 5*c**3 - 8*c + 11*c**2 - 14*c. Let j(m) = 4*q(m) - 3*x(m). Factor j(u).
-(u - 1)*(u + 1)*(u + 5)
Let d be (-7)/(7/189*-3). Factor 136*n**2 + d*n**2 + 7*n**3 - 2*n**3 - 94*n**2.
5*n**2*(n + 21)
Let y(h) be the third derivative of -h**7/840 + 3*h**6/80 - h**5/5 + 5*h**4/12 + h**3/6 - h**2 + 13*h. Let v(s) be the second derivative of y(s). Factor v(f).
-3*(f - 8)*(f - 1)
Let j(w) be the first derivative of 4*w**5/5 + 240*w**4 + 19200*w**3 + 806. Factor j(r).
4*r**2*(r + 120)**2
Let j be 36/(-9)*(-4)/46. Suppose 192*i - 364 - 37 = -17. Find u, given that -2/23*u + 0 - j*u**i = 0.
-1/4, 0
Let i(y) be the first derivative of y**3/6 + 807*y**2/2 + 651249*y/2 + 1212. Factor i(k).
(k + 807)**2/2
Suppose 12*m - 812 + 812 = 0. Find g, given that -1/2*g**4 + 1/8*g**5 + 0*g + m + 5/8*g**3 - 1/4*g**2 = 0.
0, 1, 2
Let w = -1402357 + 1402360. Factor 21*i + 3/2*i**w + 0 + 45/2*i**2.
3*i*(i + 1)*(i + 14)/2
Let 92*r**4 - 341/2*r**2 + 97/4*r**3 + 163/4*r - 5/2 + 16*r**5 = 0. What is r?
-5, -2, 1/8, 1
Let t(n) be the second derivative of n**7/14 - n**6/5 - 9*n**5/20 + n**4 + 2*n**3 - n - 260. Factor t(d).
3*d*(d - 2)**2*(d + 1)**2
Let r(l) be the third derivative of -l**6/840 - 3*l**5/70 - 5*l**4/14 - 49*l**3/2 - 3*l**2 - 12. Let u(n) be the first derivative of r(n). Factor u(g).
-3*(g + 2)*(g + 10)/7
Let t(d) be the second derivative of 4/3*d**2 - 2/3*d**3 - 1/90*d**6 + 1/20*d**5 + 24*d + 1/18*d**4 + 0. Let t(r) = 0. Calculate r.
-2, 1, 2
Let x be 6 + (-3)/(-6)*0. Let 10*p**2 + 11 + 10 - 25*p - 12 + x = 0. What is p?
1, 3/2
Suppose -10*k + 12*k + 68 = 6*k. Let y(z) be the second derivative of 0*z**2 + 4/9*z**3 + k*z + 1/18*z**4 + 0. Solve y(c) = 0 for c.
-4, 0
Let c(n) be the first derivative of 2/3*n**3 - 134 - 48*n - 23*n**2. Suppose c(x) = 0. What is x?
-1, 24
Let l(v) be the second derivative of -54*v**7/7 - 894*v**6/5 - 3928*v**5/5 - 2264*v**4/3 + 3296*v**3/3 - 416*v**2 - 4507*v + 2. Suppose l(j) = 0. Calculate j.
-13, -2, 2/9
Let z(n) be the second derivative of -n**7/42 - 7*n**6/30 - 3*n**5/20 + 59*n**4/12 + 52*n**3/3 + 24*n**2 + 2*n + 1318. Determine k so that z(k) = 0.
-4, -1, 3
Factor 2574*g**3 - 2292 - 15660*g - 2039*g**3 - 14030*g**2 - 5*g**4 + 31452.
-5*(g - 54)**2*(g - 1)*(g + 2)
Let a be (18 + -26)/(4/(-3)). Factor -8*o**2 + 5*o**2 + a*o**2 + 9*o + 0*o**2.
3*o*(o + 3)
Let i(y) be the first derivative of 0*y**3 + 137 + 0*y + 3/2*y**4 - 1/2*y**6 - 3/2*y**2 + 0*y**5. Solve i(l) = 0 for l.
-1, 0, 1
Let r(l) = 30*l + 78. Let o(y) = y**2 - 26*y - 79. Let j(b) = 3*o(b) + 2*r(b). Let j(u) = 0. What is u?
-3, 9
Let q(f) be the third derivative of -29/20*f**5 + 0*f + f**3 + 0 - 1/8*f**4 + 7/10*f**6 + 6*f**2. Factor q(o).
3*(o - 1)*(4*o + 1)*(7*o - 2)
Suppose 0 = -80*q + 47*q - 42603. Let u = q + 1293. Find b, given that 0 + 1/3*b**u - 2/3*b = 0.
0, 2
Let f(s) be the third derivative of s**7/10080 - 5*s**6/144 + 125*s**5/24 + 2*s**4/3 + 63*s**2. Let c(q) be the second derivative of f(q). Factor c(o).
(o - 50)**2/4
Let n(x) = 5*x**3 + 10*x**2 + 305*x + 430. Let t(j) = -4*j**3 - 4*j**2 - 154*j - 216. Let p(q) = -3*n(q) - 5*t(q). Factor p(a).
5*(a - 7)*(a + 2)*(a + 3)
Let a = -46252 - -693788/15. Let w(d) be the third derivative of 1/30*d**6 - 4*d**3 + 0*d + 13/6*d**4 - a*d**5 + 35*d**2 + 0. Factor w(t).
4*(t - 6)*(t - 1)**2
Let s(y) be the third derivative of 11/30*y**5 + 1/3*y**4 + 0*y + 1/336*y**8 + 0*y**3 + 7/40*y**6 + 4/105*y**7 - 25*y**2 + 0. Let s(a) = 0. What is a?
-4, -2, -1, 0
Let u be (15/(-50))/(380/(-3800)). Solve 3/7*g**5 + 36/7*g**4 - 6 + 6/7*g**2 + 81/7*g - 12*g**u = 0 for g.
-14, -1, 1
Let 42*h**2 + 107*h**2 - 147*h**2 + 22*h + 36 = 0. What is h?
-9, -2
Let x(p) = 19*p**3 + 265*p**2 - 245*p - 52. Let r(i) = 9*i**3 + 132*i**2 - 123*i - 24. Let n(d) = 13*r(d) - 6*x(d). Factor n(g).
3*g*(g - 1)*(g + 43)
Let a(m) be the second derivative of -m**4/6 + 1024*m**3/3 - 262144*m**2 - 2492*m. Let a(k) = 0. Calculate k.
512
Let 164/3*a + 104/3 + 64/3*a**2 + 4/3*a**3 = 0. What is a?
-13, -2, -1
Let y(j) be the third derivative of 0*j**3 - 1/24*j**4 - 3 + 0*j + 3*j**2 - 1/1344*j**8 + 1/96*j**6 + 0*j**7 + 0*j**5. Let y(b) = 0. What is b?
-2, -1, 0, 1, 2
Let k = -136231 + 1233850/9. Let j = 865 - k. Suppose j*g**2 - 10/9*g**4 - 4/9 + 2/3*g**3 - 2/3*g = 0. What is g?
-1, -2/5, 1
Let y = 6841 + -6837. Let j(n) be the second derivative of -6*n + 0 + 0*n**2 - 1/5*n**5 - 4/3*n**3 - n**y. Factor j(q).
-4*q*(q + 1)*(q + 2)
Let r(q) be the second derivative of q**5/120 - 5*q**4/72 + 180*q. Let r(z) = 0. What is z?
0, 5
Factor -5/3*t**3 + 0 + 4/3*t - 8/3*t**2.
-t*(t + 2)*(5*t - 2)/3
Let x(g) = g**2 - 4. Let l = -578 + 579. Let d(o) = 7*o**2 + 17*o - 2. Let s(m) = l*d(m) - 2*x(m). Factor s(n).
(n + 3)*(5*n + 2)
Let a(l) = -144*l**3 + 105*l**2 - 27*l - 534. Let p(o) = -19*o**3 + 15*o**2 - 4*o - 76. Let x(j) = 2*a(j) - 15*p(j). Factor x(r).
-3*(r - 2)*(r + 3)*(r + 4)
Let o(p) be the second derivative of -p**6/240 + 3*p**5/10 + 9*p**4/16 - 31*p**3/6 + 147*p**2/16 - 11*p + 24. Determine t so that o(t) = 0.
-3, 1, 49
Let t = 289 + -208. Determine h so that -6*h**3 + t*h + 2*h**3 - 162 + 0*h**3 + h**3 = 0.
-6, 3
Let m(d) = 53 + 49 + d**2 + d + 54 - 157. Suppose -q = -6 + 3. Let h(z) = -17*z**2 + 18*z + 2. Let u(v) = q*m(v) - h(v). Factor u(j).
5*(j - 1)*(4*j + 1)
Suppose -4708*t - 69 = -4737*t + 47. Let v(f) be the second derivative of 0*f**2 - 17*f + 1/12*f**t + 0 - 1/60*f**5 + 2/9*f**3. Factor v(m).
-m*(m - 4)*(m + 1)/3
Let -3133/4*d**2 + 111/4*d**3 + 3025/2 - 1/4*d**4 + 2805/4*d = 0. What is d?
-1, 2, 55
Determine w so that -6/7*w**2 + 46/7 - 136/7*w = 0.
-23, 1/3
Determine r so that -2/7*r**3 + 78/7*r**2 + 82/7 + 162/7*r = 0.
-1, 41
Let g(q) be the second derivative of -q**5/390 + q**4/13 + 28*q**3/39 - 119*q**2 - 320*q. Let w(t) be the first derivative of g(t). Find r, given that w(r) = 0.
-2, 14
Let x be (6 - (-175)/(-28))/(4*7/(-224)). Solve -1/9*r**3 + 2/9*r + 1/9*r**x + 0 = 0 for r.
-1, 0, 2
Let w(d) be the first derivative of d**6/1080 + d**5/120 + d**4/36 + 17*d**3/3 + 4*d - 106. Let v(l) be the third derivative of w(l). Solve v(k) = 0 for k.
-2, -1
Suppose 216*f = 10472 - 9824. Factor -13/10*q**2 - 1/10*q**4 - 6/5*q - 2/5 - 3/5*q**f.
-(q + 1)**2*(q + 2)**2/10
Let o(w) be the first derivative of -7*w**6/3 + 192*w**5/5 - 343*w**4/2 + 4*w**3 + 620*w**2 + 336*w - 1109. Solve o(m) = 0 for m.
-1, -2/7, 2, 6, 7
Factor -457*s**3 + 894*s**3 + 174960*s + 1620*s**2 + 6298560 - 432*s**3.
5*(s + 108)**3
Let 192*w**3 - 102*w**3 - 32490 - 95*w**3 - 12680*w - 4705*w - 580*w**2 = 0. What is w?
-57, -2
Let u = 78751/3 + -26249. Solve -5/3*j**2 - u*j**3 - 2/3*j + 0 - 1/3*j**4 = 0 for j.
-2, -1, 0
Factor 98/11*j - 2/11*j**3 - 84/11*j**2 + 516/11.
-2*(j - 3)*(j + 2)*(j + 43)/11
Let r(u) = 56*u**2 + 69*u - 128. Let m(a