9*j**4 + 96*j + 348*j**2 - 188*j**3 - 5*j**4 + 61*j**4 - 64 - 23*j**4 = 0.
-1/2, 1/3, 4
Let a = -25416 + 25420. Let v(y) be the second derivative of -6*y**2 - 8/3*y**3 - 1/20*y**5 - 7/12*y**a + 0 - 22*y. Let v(f) = 0. What is f?
-3, -2
Solve 626/5*h - 312/5 - 4/5*h**2 = 0.
1/2, 156
Let d(z) be the first derivative of 0*z**2 + 10 - 10*z - 1/50*z**5 + 0*z**4 + 1/15*z**3. Let w(i) be the first derivative of d(i). Factor w(s).
-2*s*(s - 1)*(s + 1)/5
Let m = -434797/2 + 4782775/22. Factor 4/11*y - 2/11 - m*y**3 + 0*y**2 + 2/11*y**4.
2*(y - 1)**3*(y + 1)/11
Let t(v) = 2*v**3 - 3*v**3 + v**2 - 7*v - 34 + 0*v**2 + 16 - 4*v**2. Let s be t(-3). Let 0 + 3*b**4 + 9/4*b**s + 0*b + 0*b**2 + 3/4*b**5 = 0. Calculate b.
-3, -1, 0
Suppose 0 = -x + 2*l, -41*x = -7*x - 4*l + 2*l. Factor 4/9*w**2 - 2/9 - 2/9*w**4 + x*w + 0*w**3.
-2*(w - 1)**2*(w + 1)**2/9
Let a = 24 - 20. Let j(u) = -u**3 + 5*u**2 - 3*u. Let v be j(a). Determine c, given that -352 - 12*c - 3*c**v + 352 + 9*c**3 = 0.
-1, 0, 2
Suppose 20 = 3*i - 16. Let 41*f**2 - 15*f**2 - 11*f**2 - 14*f**2 - 18*f - f**3 - i*f**2 = 0. What is f?
-9, -2, 0
Solve 212/3*o - 2/9*o**2 - 5618 = 0 for o.
159
Let w(d) be the first derivative of -d**4/8 + 5*d**3 - 29*d**2/4 + 5069. Determine t, given that w(t) = 0.
0, 1, 29
Let p be (1 - (-39)/6)*11466/51597. Determine h, given that 1/3*h**3 - p - h**2 - 3*h = 0.
-1, 5
Let j be (-90)/(-6 - 3) + 352/96 - 11. Determine r, given that -32/15 - 2/5*r**5 - 16/15*r**4 + 46/15*r**3 - j*r + 16/5*r**2 = 0.
-4, -1, -2/3, 1, 2
Let o(d) be the third derivative of -d**8/84 + 62*d**7/105 - 9*d**6/10 - 91*d**5/15 + 14*d**4/3 + 40*d**3 - 246*d**2. Find n such that o(n) = 0.
-1, 1, 2, 30
Let s(h) = 2*h**2 - 14*h + 32. Let y(c) = 11*c + 4*c - 25*c**2 - 2*c + 23*c**2 - 32. Let g(m) = 3*s(m) + 2*y(m). Factor g(u).
2*(u - 4)**2
Let j(z) be the second derivative of z**4/24 + 9*z**3/2 + 53*z**2/4 + 1199*z. Determine c so that j(c) = 0.
-53, -1
Let j = -5 - -20. Let x(t) be the second derivative of 0 + 6*t**3 + 108*t**2 - 5/2*t**4 + 3/20*t**5 + j*t. Factor x(m).
3*(m - 6)**2*(m + 2)
Let z(i) = i**3 - 8*i**2 - 65*i + 28. Let v be z(13). Determine k so that 1409 - 10*k - v*k + 76*k**2 + 44*k**2 - 1413 = 0.
-1/12, 2/5
Let v(h) = 2*h**2 + 83*h - 14. Let y(g) = -6 + 192*g**2 - 93*g**2 - 98*g**2 + 41*g. Let w(z) = 3*v(z) - 7*y(z). Find k such that w(k) = 0.
-38, 0
Let a(s) be the first derivative of -s**4/44 - 2*s**3/33 + 2*s**2/11 + 8*s/11 + 1465. What is r in a(r) = 0?
-2, 2
Suppose -4*n - 3*x = -52, 86*n - 82*n - 3*x = 76. Let r(h) be the third derivative of 0 + n*h**2 + 13/60*h**5 + 0*h + 0*h**3 - 1/12*h**4. Factor r(i).
i*(13*i - 2)
Suppose 0 = -4*l + 36*l - 42*l. Let j(s) be the third derivative of -7/180*s**6 + 1/45*s**5 + 7/36*s**4 + 22*s**2 - 2/9*s**3 + 0*s + l. Factor j(f).
-2*(f - 1)*(f + 1)*(7*f - 2)/3
Factor 100*o + 26002*o**2 - 4*o**3 - 51973*o**2 + 26007*o**2 - 132.
-4*(o - 11)*(o - 1)*(o + 3)
Let i(g) be the third derivative of -g**5/270 + 7*g**4/18 - 245*g**3/27 - 12254*g**2. Factor i(a).
-2*(a - 35)*(a - 7)/9
Let q(h) = -h**3 - 2*h**2 - 2*h. Let s be q(-2). Suppose 0 = 5*b + 5, -4*b - s = -8*o + 9*o. What is n in 0 + 3/4*n**2 + o*n = 0?
0
Let n be (165/20)/(6/32*-10). Let y = 23/5 + n. Factor 0 - y*x**2 + 0*x - 1/5*x**3.
-x**2*(x + 1)/5
Let d be ((-38)/(-323))/(5/(-1) - 1290/(-255)). Factor -162*k + 6*k**4 + 0 + 0*k**d + 3/8*k**5 + 27*k**3.
3*k*(k - 2)*(k + 6)**3/8
Let o = 6184/255 - 410/17. Determine z so that 0 - o*z**3 + 4/15*z - 2/15*z**2 = 0.
-2, 0, 1
Let f(v) be the first derivative of v**4/4 + v**3/3 - v**2/2 + v - 18. Let j be f(1). What is l in 27*l + l**j - 13*l**2 - 40 + 34 = 0?
1/4, 2
What is f in -766/19*f**2 + 226/19*f**3 + 710/19*f - 150/19 - 20/19*f**4 = 0?
3/10, 1, 5
Let x be 136904/6104 - (-2 - -24). Suppose 12/7*h - x*h**3 - 12/7*h**2 + 3/7*h**4 + 0 = 0. Calculate h.
-2, 0, 1, 2
Let p(w) be the third derivative of w**6/240 + 11*w**5/15 + 175*w**4/4 + 588*w**3 + 1755*w**2. Factor p(f).
(f + 4)*(f + 42)**2/2
Suppose s = 3*v - 6, -3*v - 63 + 9 = 3*s. Let m = 70 + s. Solve -25*q**2 - 208 + m*q - 10*q**2 + 183 + 5*q**3 = 0.
1, 5
Suppose -16 + 20 = 2*d. Factor 116*g + 4*g**d - 160*g - 11 - 37.
4*(g - 12)*(g + 1)
Let g(l) = -4*l**2 + 4*l + 2. Let o(w) = -9*w**2 + 9*w + 3. Let m(v) = -v - 4. Let x be m(-6). Let d be (-1)/x + 33/6. Let u(j) = d*g(j) - 2*o(j). Factor u(i).
-2*(i - 2)*(i + 1)
Let d(f) = -f**3 + f**2 + 2*f + 1. Let y(c) = 10*c + 119. Let u be y(-12). Let p(g) = 6*g**3 + 40*g + 56. Let h(n) = u*p(n) - 8*d(n). What is w in h(w) = 0?
-2, 8
Let m(y) be the second derivative of y**4/42 - 79*y**3/21 - 80*y**2/7 - 6560*y. Determine d, given that m(d) = 0.
-1, 80
Let b(y) be the third derivative of 5/3*y**4 + 4/5*y**5 + 2*y**3 + 14*y**2 + 1/5*y**6 + 0*y + 2/105*y**7 + 1. Factor b(u).
4*(u + 1)**3*(u + 3)
Let l be 3/2 - (-546)/(-364). Let g(b) be the second derivative of l + 10/3*b**3 + 25/6*b**6 + 0*b**2 + 45/4*b**5 + 10*b**4 + 13*b. Factor g(u).
5*u*(u + 1)*(5*u + 2)**2
Let t = -215 + 217. What is s in 5*s**2 + 180*s - 9*s**t - 212*s - 28 = 0?
-7, -1
Suppose 0*y - 3 = -y, 0 = -5*h + 2*y + 29. Factor 4*q - 8*q**2 + 7*q**3 - 3*q**2 + h*q + 2*q**3 - 9*q.
q*(q - 1)*(9*q - 2)
Let l(h) be the third derivative of -h**5/20 - 9*h**4/2 - 90*h**3 + 919*h**2. Find k such that l(k) = 0.
-30, -6
Let p(b) = -17*b + 37. Let l be p(2). Factor -51*q**l - 44*q**2 + 9*q**4 + 74*q + 16 - 5*q**3 + 164*q**2 - 170*q.
(q - 2)**3*(9*q - 2)
Let k(w) be the first derivative of -w**6/27 - 4*w**5/5 + 101*w**4/9 - 328*w**3/27 - 67*w**2/3 + 364*w/9 + 3423. Solve k(i) = 0.
-26, -1, 1, 7
Let f(s) be the second derivative of s**6/50 - 69*s**5/10 + 12993*s**4/20 + 2668*s**3 + 20184*s**2/5 + 944*s. Solve f(o) = 0.
-1, 116
Suppose 5*n - 17 = n - 5*h, n - 8 = -5*h. Suppose -n*w + 3 = -3*g, -2*g = -4*w + g + 7. Let 1/2*l**3 + 6*l**2 - 2*l**w + 5/2*l - 1 = 0. Calculate l.
-1, 1/4, 2
Let a be 7 - (20 - 15 - 1). Let z(u) be the third derivative of 0 + 0*u - 1/240*u**5 + 0*u**a - 44*u**2 + 1/24*u**4. Factor z(i).
-i*(i - 4)/4
Let s(x) be the second derivative of 0 - 1/20*x**5 + 8*x**2 - 1/3*x**4 - 312*x + 2/3*x**3. Determine r, given that s(r) = 0.
-4, -2, 2
Let d(s) be the second derivative of s**6/150 + s**5/15 - s**4/5 - 30*s**2 - 51*s. Let r(b) be the first derivative of d(b). Factor r(z).
4*z*(z - 1)*(z + 6)/5
Let z(n) be the third derivative of 46 + 0*n**3 + 0*n + 0*n**4 + 0*n**5 - 1/15*n**6 - 2/105*n**7 + 1/84*n**8 - n**2. Factor z(h).
4*h**3*(h - 2)*(h + 1)
Let u(x) be the second derivative of -x**7/5670 - 11*x**6/270 - 121*x**5/30 + 13*x**4/6 - 2*x**2 - 155*x. Let y(t) be the third derivative of u(t). Factor y(v).
-4*(v + 33)**2/9
Let g = -269 + 287. Factor -4 + 2*r + 13*r**2 - 4*r**3 + 2*r**3 + 11*r**2 - 2 - g.
-2*(r - 12)*(r - 1)*(r + 1)
Let n be 465476/401555 + (-5)/(490/(-4)). Let 0 + 3/5*r**3 + 3/5*r + n*r**2 = 0. Calculate r.
-1, 0
Factor 19*y**2 - 2*y**3 + 71 + 389*y - 6 + 13*y**2 - 143*y + 331.
-2*(y - 22)*(y + 3)**2
Factor -3/2*j**3 + 0 + 24*j**2 + 51/2*j.
-3*j*(j - 17)*(j + 1)/2
Let w(s) = 5*s**3 + 625*s**2 + 70*s - 2580. Let b(f) = -f**3 - 209*f**2 - 23*f + 860. Let a(z) = 10*b(z) + 3*w(z). Let a(v) = 0. What is v?
-2, 2, 43
Let f(j) = -j**3 + 7*j**2 - 6*j + 9. Let y be f(7). Let p = -19 - y. Determine d, given that 23*d + p*d**2 - 10 - 5*d**3 - 18*d - 4*d**2 = 0.
-1, 1, 2
Let x(k) be the second derivative of -5/12*k**4 - 490*k**2 - 70/3*k**3 + 0 - 46*k. What is g in x(g) = 0?
-14
Let v(f) be the first derivative of -f**3/3 + 18*f**2 - 68*f - 409. Let v(p) = 0. What is p?
2, 34
Let k(c) be the first derivative of -c**4/3 - 56*c**3/3 - 392*c**2 - 126*c - 119. Let w(x) be the first derivative of k(x). Find j, given that w(j) = 0.
-14
Let z(a) be the third derivative of a**6/570 + 37*a**5/570 + 65*a**4/76 + 72*a**3/19 - 4029*a**2. Determine n, given that z(n) = 0.
-9, -8, -3/2
Let y(x) = 176*x**2 + 27*x + 69. Let a be y(-3). Let c = a - 17284/11. Suppose 6/11*z + 2/11*z**2 - c = 0. What is z?
-4, 1
Let g(s) be the second derivative of -26 - 2/3*s**3 - 2/5*s**2 + 11/60*s**4 - s. Suppose g(o) = 0. What is o?
-2/11, 2
Let k = 202 + -201. Factor -8*f + 21 + 4*f**2 - k - 52.
4*(f - 4)*(f + 2)
Let h be (1 - 0)*-6 + 12. Determine w, given that 9*w**2 + h*w - 20*w**3 - 9*w**4 + 17*w**3 - 5*w**5 + 2*w