+ 2 + 1/4*w**3 + 3/2*w**c = 0.
-2
Let q be 0 - -10 - (182/2730 + 178/30). Factor 1/8*c**5 - 3/4*c**q + 1/2*c + 0 + 13/8*c**3 - 3/2*c**2.
c*(c - 2)**2*(c - 1)**2/8
Suppose 3 = 9*k + 39. Let o(u) = u + 7. Let z be o(k). Factor 3*f**2 + 0*f**3 + 3 - 11*f**z - 9 + 9*f + 2*f**3 + 3*f**4.
3*(f - 2)*(f - 1)**2*(f + 1)
Suppose 0 = 6*t + 6, -2*t - 6 = 315*o - 317*o. Solve 0 + 48/7*p**4 + 4/7*p - 30/7*p**o - 32/7*p**5 + 46/7*p**3 = 0 for p.
-1, 0, 1/4, 2
Suppose 4*c = -2*c + 6186. Let a = 1033 - c. Factor 1 + 2/3*v - 1/3*v**a.
-(v - 3)*(v + 1)/3
Let r(y) be the first derivative of -2*y**3/9 + 92*y**2/3 - 178*y - 8541. What is n in r(n) = 0?
3, 89
Let f(y) be the first derivative of -156*y - 153/2*y**2 + y**3 + 265. Factor f(w).
3*(w - 52)*(w + 1)
Let c = -1000295 - -1000298. Suppose 72*d**c - 1059/7*d**2 + 468/7*d + 21*d**4 - 60/7 = 0. Calculate d.
-5, 2/7, 1
Suppose 0 = t - 4*k + 17, t - 5*k = -3*k - 7. Factor -35*p**2 + 21*p**2 - 56*p - 54*p - 91*p**2 + 5*p**t.
5*p*(p - 22)*(p + 1)
Suppose 276*z**2 + 75/4*z**5 - 468*z + 42*z**3 - 165/2*z**4 + 216 = 0. What is z?
-2, 6/5, 2
Let s(q) = 83*q**4 + 35*q**3 + 107*q**2 + 34*q. Let z(y) = -15*y**4 - 7*y**3 - 21*y**2 - 7*y. Let v(w) = -4*s(w) - 22*z(w). Factor v(c).
-2*c*(c - 9)*(c + 1)**2
Let d be (768/792 + -1)*-2. Let i(g) be the second derivative of -35*g - d*g**3 + 0 + 0*g**2 - 1/66*g**4. Suppose i(j) = 0. Calculate j.
-2, 0
Let a(p) be the third derivative of -p**8/1848 - 24*p**7/385 + 56*p**6/165 - 13*p**5/55 - 223*p**4/132 + 50*p**3/11 + 462*p**2 - 1. Solve a(u) = 0.
-75, -1, 1, 2
Let d(w) be the third derivative of 0 - 1/18*w**3 - 54*w**2 - 1/36*w**4 + 0*w - 1/180*w**5. Factor d(g).
-(g + 1)**2/3
Let u be (-60)/(-5) - 16/80*50. Let g(a) be the third derivative of 6*a**u + 4 - 1/15*a**5 + 0*a**3 + 0*a - 1/24*a**6 + 1/24*a**4. Factor g(o).
-o*(o + 1)*(5*o - 1)
Suppose -25*m = 67*m + 68*m. Let z(s) be the second derivative of -1/15*s**3 + 1/30*s**4 + 0*s**2 - 33*s + m. Factor z(r).
2*r*(r - 1)/5
Factor -28/3*w**2 + 33*w - 24 + 1/3*w**3.
(w - 24)*(w - 3)*(w - 1)/3
Suppose 4*d - 5*g - 2 = 3, d = g + 1. Let c = 37357 + -149423/4. Factor d + c*m - 1/4*m**2.
-m*(m - 5)/4
Determine x so that 336/11 + 68*x - 10/11*x**3 + 402/11*x**2 = 0.
-1, -4/5, 42
Find i such that 264 - 2/5*i**2 - 1318/5*i = 0.
-660, 1
Suppose -g + 5*k - 13 = 0, -2*k = -g - 7 + 3. Factor -4*r**2 - 2*r**g + 0*r**2 - r**2 + 4*r**2 - 3*r**3.
-3*r**2*(r + 1)
Let b(r) be the second derivative of r**4/3 - 452*r**3 + 229842*r**2 - 19*r + 48. Suppose b(z) = 0. What is z?
339
Let w(f) be the first derivative of f**3/3 + 2847*f**2 + 8105409*f - 7296. Suppose w(d) = 0. What is d?
-2847
Suppose 0 = b - 2, -4*m + 2*b + 15 + 17 = 0. Factor m - 8*q + 11 - 20 - q**2.
-q*(q + 8)
Let b be 1615/(-209)*(-174)/75. Let q = -86/5 + b. Find i such that -2/11*i**5 - 4/11 + 4/11*i**2 + 0*i**4 - 6/11*i + q*i**3 = 0.
-1, 1, 2
Let c(t) be the third derivative of 9*t**6/40 - 73*t**5/20 + 29*t**4/2 - 6*t**3 + 18*t**2 - 5*t. Solve c(g) = 0 for g.
1/9, 2, 6
Let j(c) be the first derivative of 195*c**4/4 + 415*c**3/3 + 75*c**2 + 1479. Factor j(z).
5*z*(3*z + 5)*(13*z + 6)
Let x(g) be the third derivative of 0*g**3 + 0*g - 11/15*g**5 + g**4 - 2/105*g**7 - 17*g**2 + 1/5*g**6 + 3. Factor x(u).
-4*u*(u - 3)*(u - 2)*(u - 1)
Let j(b) be the first derivative of b**6/18 + 34*b**5/5 + 149*b**4/6 + 32*b**3/3 - 299*b**2/6 - 66*b - 14369. Find w such that j(w) = 0.
-99, -2, -1, 1
Suppose 5*k - 5*g = -205, 0*g - 20 = 4*g. Let m = -44 - k. Find u, given that 4*u - 11*u**5 - 2*u**m - 6*u**3 + 10*u**4 + 13*u**5 - 8*u**4 = 0.
-2, -1, 0, 1
Let w(m) = 71*m**2 - 741*m - 410. Let x be w(11). Find v, given that 309/7*v - x + 9/7*v**2 = 0.
-35, 2/3
Let r(v) be the second derivative of -v**5/20 - v**4/3 + v**3/6 + 2*v**2 - 72*v + 1. Determine f, given that r(f) = 0.
-4, -1, 1
Factor -1052/3*z + 2096/3 - 1046/3*z**2 + 2/3*z**3.
2*(z - 524)*(z - 1)*(z + 2)/3
Let m = -254/385 + 1663/770. Find n, given that -15/8*n**3 - m*n + 39/8*n**2 - 3/2 = 0.
-2/5, 1, 2
Let x(h) = -2*h**2 - 15*h - 16. Let d be x(-1). Let s be (-240)/(-450) + (1 - (-1)/d). Suppose 0*q**3 - 3/5 - 3/5*q**4 + 0*q + s*q**2 = 0. What is q?
-1, 1
Let h = -1/12232 + 3061/36696. Let l(r) be the first derivative of h*r**3 + 0*r + 3/4*r**2 - 18. Suppose l(b) = 0. Calculate b.
-6, 0
Solve -113*r + 101050*r**2 - 6*r**3 - 100478*r**2 - 66*r - 11*r = 0 for r.
0, 1/3, 95
Let x(d) be the first derivative of 45*d**6/2 - 153*d**5/5 - 111*d**4/4 + 55*d**3 - 12*d**2 - 12*d - 5502. Determine v, given that x(v) = 0.
-1, -1/5, 2/3, 1
Let l = 1493/229 - 4250/687. What is i in 3*i + 14/3 + l*i**2 = 0?
-7, -2
Let p(g) be the first derivative of -g**6/3 - 94*g**5/5 - 691*g**4/2 - 6490*g**3/3 - 4600*g**2 - 4000*g + 3100. Suppose p(w) = 0. What is w?
-20, -5, -1
Let g = -987831/14 - -141119/2. Suppose g*m**3 + 0 + 0*m + 5/7*m**2 = 0. What is m?
-5, 0
Let a(r) be the third derivative of 71*r**2 + 81/40*r**6 + 9/2*r**4 + 29/5*r**5 + 17/70*r**7 - 8*r**3 + 0 + 0*r. Let a(c) = 0. Calculate c.
-2, -1, 4/17
Let z(n) be the third derivative of 11/90*n**5 + 0*n + 4/9*n**3 - 1 - 61*n**2 - 23/72*n**4 - 7/360*n**6. What is g in z(g) = 0?
1, 8/7
What is v in 147*v**4 + 5096 - 6167*v + 5118*v + 196572*v**2 + 10456 - 108679*v - 10668*v**3 = 0?
2/7, 36
Let g(v) = 7*v**2 - 7*v + 4. Let k(i) = -i + 1. Let s(w) = w**2 + 3*w - 3. Let a(x) = -4*k(x) - s(x). Let h(p) = 4*a(p) + g(p). Find d such that h(d) = 0.
0, 1
Let q(h) be the first derivative of -25*h**4/2 - 730*h**3 - 15987*h**2 - 778034*h/5 + 4826. Factor q(y).
-2*(5*y + 73)**3/5
Suppose 8*g = 575 + 385. Suppose 26*v = -34*v + g. What is u in 0*u**3 - 4/13*u**v + 4/13*u**4 + 0 + 2/13*u**5 - 2/13*u = 0?
-1, 0, 1
Factor 0 + 781/4*j**3 + 225*j + 29/2*j**4 + 1/4*j**5 - 435*j**2.
j*(j - 1)**2*(j + 30)**2/4
Suppose -1248*v + 1717*v = 938. Suppose 11/4 - 1/4*t**v - 5/2*t = 0. Calculate t.
-11, 1
Let a(f) be the third derivative of -1/165*f**6 + 0*f**4 + 1/1155*f**7 + 0*f + 0 + 0*f**3 + 29*f**2 + 2/165*f**5. Factor a(w).
2*w**2*(w - 2)**2/11
Let s(m) = m**3 - m**2 + 2*m - 2. Let q(y) = -y**3 - 44*y**2 - 127*y - 48. Let v(g) = -q(g) - 6*s(g). Find c such that v(c) = 0.
-1, 12
Let u(i) be the second derivative of -1/10*i**5 + 100*i**2 - 65/3*i**3 + 7/3*i**4 - 1 - 92*i. Solve u(m) = 0 for m.
4, 5
What is q in 16/9*q - 2/9*q**2 + 2 = 0?
-1, 9
Let v(t) be the third derivative of 1/48*t**5 - 3*t + 0*t**3 + 1/24*t**6 + 0 + 0*t**4 + 5*t**2. Find b such that v(b) = 0.
-1/4, 0
Let m = 16116 - 16114. Factor 24/7 - 6*r + 9/7*r**m.
3*(r - 4)*(3*r - 2)/7
Let z be (-660)/72*(-741)/418 - (-2)/(-8). Find g, given that 0*g + 4/3*g**4 + 36*g**2 + 0 - z*g**3 = 0.
0, 3, 9
Solve -11*s + 23/2 - 1/2*s**2 = 0.
-23, 1
Solve 5*s**4 + 220*s**3 - 2311*s**2 - 2687519 + 800*s + 826*s**2 + 2690019 = 0.
-50, -1, 2, 5
Let w be 2448/1190 - (1030/(-350) + 3). What is a in 2/5*a + 0 - 14/5*a**3 + 12/5*a**w = 0?
-1/7, 0, 1
Let s be 33/(-9)*(-1 - 5). Suppose -x = -i - 3, 5*i + 4 = 4*x - 6. Suppose -11*v**2 - x*v**2 - s*v + 6*v + 0*v**3 - 4*v**3 = 0. What is v?
-2, 0
Let y(c) be the third derivative of c**5/12 - 805*c**4/4 + 388815*c**3/2 + 9*c**2 + 101*c. Let y(z) = 0. What is z?
483
Let p = -198 - -200. Suppose p*d = 17*d. Find k such that 1/10*k**2 - 1/10*k + d = 0.
0, 1
Determine l so that 2/5*l**2 + 72/5*l - 234/5 = 0.
-39, 3
Let n(o) = -o**5 - 4*o**4 + 26*o**3 - 24*o**2 + 11*o + 2. Let z(q) = q**5 - 2*q**4 - 2*q**3 - q - 1. Let i(l) = -5*n(l) - 10*z(l). Factor i(y).
-5*y*(y - 3)**2*(y - 1)**2
Find z, given that 24/5 - 76/5*z**2 + 4/5*z**4 - 12*z**3 + 4/5*z + 8/5*z**5 = 0.
-2, -1, 1/2, 3
Let k(b) be the third derivative of -b**5/570 - 40*b**4/19 - 19200*b**3/19 - 33*b**2 - 5*b. Let k(x) = 0. Calculate x.
-240
Suppose 4*s - 134 = -14*f, 64*s + 2*f - 24 = 61*s. Let -2/3*y + 0 - 1/3*y**s = 0. What is y?
-2, 0
Let j(t) be the third derivative of t**7/5880 + t**6/840 - 3*t**5/280 - t**4/8 - 11*t**3/6 - t**2 + 32. Let y(s) be the second derivative of j(s). Factor y(k).
3*(k - 1)*(k + 3)/7
Let p(f) be the third derivative of f**6/60 + f**5/5 - 25*f**4/12 + 6*f**3 + 2*f**2 + 5*f - 93. Factor p(v).
2*(v - 2)*(v - 1)*(v + 9)
Let c(p) be the second derivative of 2*p**6/5 - 23*p**5/5 + 49*p**4/3 - 34*p**3/3 - 24*p**2 - 12*p - 24. What is n in c(n) = 0?
-1/3, 1, 3, 4
Let u(q)