-4*(v + 1)*(23*v + 2)/7
Let d be (25/(-10) - -2)*(-2 + 2). Suppose -4*w + 14 + 34 = d. Let -16*l + 3*l**2 - 2*l + 6*l + w = 0. What is l?
2
Let v(q) be the first derivative of -9*q**6/8 - 45*q**5/4 - 267*q**4/8 - 37*q**3 - 15*q**2 - 1753. Solve v(i) = 0 for i.
-5, -2, -2/3, 0
Suppose -14707*s + 14775*s = 136. Factor 1/3*v - 1/6*v**s + 0.
-v*(v - 2)/6
Let l = 1074707/8 + -134338. Determine f, given that 0*f**2 + 9/2*f - l*f**3 + 6 = 0.
-2, 4
Let u = 83338/3 + -28079. Let f = u + 300. Find p such that 0 + 0*p - f*p**3 - 1/3*p**4 + 1/3*p**2 + 1/3*p**5 = 0.
-1, 0, 1
Let z(n) be the first derivative of 5*n**3/3 - 90*n**2 + 1015*n - 106. Let z(j) = 0. What is j?
7, 29
Suppose -425 - 233/4*c**3 - 910*c - 2177/4*c**2 + 1/4*c**5 + 5/4*c**4 = 0. What is c?
-10, -1, 17
Let j = -28079 + 28084. Let w(o) be the first derivative of 4/5*o**4 + 43 + 12/5*o**3 + 2/25*o**j + 0*o**2 - 54/5*o. Factor w(r).
2*(r - 1)*(r + 3)**3/5
Let m(n) be the second derivative of -n**6/135 + n**5/10 - 4*n**4/9 + 20*n**3/27 - 2202*n. Factor m(t).
-2*t*(t - 5)*(t - 2)**2/9
Let y(u) be the second derivative of u**5/60 - u**4/6 - u**3/18 + u**2 - 2369*u. Solve y(r) = 0 for r.
-1, 1, 6
Let o be (1/(-2))/((-4)/(-32)). Let d(a) = a**2 - a. Let b(i) be the first derivative of -2*i**3 + 3*i**2 + 4*i - 15. Let m(t) = o*d(t) - b(t). Solve m(j) = 0.
-1, 2
Let f be 22/(-4)*((-1040)/(-143) - 8). Let b(v) be the first derivative of -1/8*v**4 + 13 - v**3 + f*v + 1/10*v**5 + v**2. Factor b(h).
(h - 2)**2*(h + 1)*(h + 2)/2
Let h(r) = -130*r + 1306. Let d be h(10). Let g be 3 - d - -8 - 104/32. Factor 13/4*s + g + 5/4*s**2 - 1/4*s**3.
-(s - 7)*(s + 1)**2/4
Let s(f) = 2*f. Let x be s(-7). Let a be ((-20)/35 - 2)/(8/x). Determine c, given that -6*c - 3/2*c**2 - a = 0.
-3, -1
Let a(n) be the second derivative of n**6/90 - n**5/6 - n**4 + 35*n**3/6 - n - 7. Let l(u) be the second derivative of a(u). Let l(j) = 0. Calculate j.
-1, 6
Solve 8/9*f**2 + 20/9*f + 0 - 7/3*f**3 + 1/9*f**5 - 8/9*f**4 = 0.
-2, -1, 0, 1, 10
Let t(y) be the second derivative of y**9/7560 - y**8/480 + y**7/105 - y**4/6 + y**3/2 + 9*y. Let k(u) be the third derivative of t(u). Factor k(q).
2*q**2*(q - 4)*(q - 3)
Let b(j) be the second derivative of j**4/12 + 86*j**3 + 33282*j**2 + j + 29. Factor b(h).
(h + 258)**2
Let a(q) be the second derivative of -1/24*q**5 + 1/3*q**2 + 5/36*q**3 + 0 - 1/180*q**6 + 51*q - 1/24*q**4. Let a(l) = 0. What is l?
-4, -1, 1
Let g(i) be the third derivative of -i**6/570 - 23*i**5/570 - i**4/3 - 55*i**3/57 - 3418*i**2. Let g(p) = 0. Calculate p.
-11/2, -5, -1
Let c(o) = -24*o**2 + 138*o + 9. Let f(g) = -7*g**2 + 3. Let i(y) = c(y) - 3*f(y). Find t such that i(t) = 0.
0, 46
Let -55296/5 - 1158/5*h**2 + 6/5*h**3 + 56448/5*h = 0. Calculate h.
1, 96
Factor 0*h**2 - 66/23*h**4 - 2/23*h**5 + 68/23*h**3 + 0 + 0*h.
-2*h**3*(h - 1)*(h + 34)/23
Let c = -294 + 298. Let -76 - 14*h**3 + 24 + 28 + c*h**2 + 34*h = 0. What is h?
-12/7, 1
Let u(v) = -13*v**3 + 2427*v**2 + 492072*v + 489672. Let g(j) = -8*j**3 + 1618*j**2 + 328048*j + 326447. Let w(y) = -8*g(y) + 5*u(y). Let w(m) = 0. Calculate m.
-404, -1
Factor -22188*z + 2*z**2 + 44152*z - 22132*z.
2*z*(z - 84)
Let r(o) be the first derivative of o**5/2 - 5*o**4/8 - 325*o**3/6 - 315*o**2/4 - 208. Factor r(x).
5*x*(x - 9)*(x + 1)*(x + 7)/2
Let k(i) be the first derivative of -i**6/180 + 7*i**5/15 + 29*i**4/12 + 44*i**3/9 - 86*i**2 + 200. Let z(b) be the second derivative of k(b). Factor z(n).
-2*(n - 44)*(n + 1)**2/3
Suppose -158064 = -1303*k + 154656. Find q, given that -25/3*q**5 - k + 160/3*q**3 - 205/3*q**4 + 2440/3*q**2 - 1040*q = 0.
-6, -1/5, 2
Suppose -115937*v + 17 = -3*g - 115936*v, -2*g - 4*v = -68. Find j such that 2/7*j**5 + g + 0*j + 2*j**3 + 10/7*j**4 + 6/7*j**2 = 0.
-3, -1, 0
Let d = 850/11 - 7628/99. Let b(f) be the third derivative of 0*f + 1/60*f**5 + 0*f**4 + 0 - 7*f**2 - d*f**3 - 1/360*f**6. Factor b(z).
-(z - 2)**2*(z + 1)/3
Let l(b) = -3*b**2 + 48*b + 98. Let m(t) = -2*t**2 - t - 4. Let r(k) = l(k) - m(k). Solve r(c) = 0.
-2, 51
Let g = 53 - 51. Factor -4*z + 22*z - 11*z + 25*z - 2*z**g.
-2*z*(z - 16)
Let o(p) be the first derivative of 1/36*p**4 + 0*p**2 + 33 - 23/3*p**3 - 1/360*p**5 - 1/1080*p**6 + 0*p. Let a(z) be the third derivative of o(z). Factor a(u).
-(u - 1)*(u + 2)/3
Factor -4*n**2 + 23715 - 25807 + 1017*n + 1079*n.
-4*(n - 523)*(n - 1)
Let j(p) be the second derivative of -p**5/160 + 647*p**4/96 - 4587*p. Solve j(c) = 0 for c.
0, 647
Let o(t) be the second derivative of -5*t + 5*t**2 + 1/12*t**4 - 1/60*t**5 + 0 + 0*t**3. Let c(x) be the first derivative of o(x). Factor c(b).
-b*(b - 2)
Suppose 22 = 3*h - 4*r, 8*h + 5*r = 3*h + 25. Determine y, given that -y**3 - h + 4*y**3 - 12*y**2 - 3*y**2 + 34*y - 17*y + y**4 = 0.
-6, 1
Let n(d) be the third derivative of -d**5/270 + 17*d**4/9 + 205*d**3/27 - 3067*d**2. Let n(s) = 0. Calculate s.
-1, 205
Suppose 2*u + k = -157542, -4*u - 3*k + 2*k = 315084. Let v be ((-6)/14)/(-1) - u/4851. Determine s so that 22/3*s**2 + 8*s - 8/3 - 20*s**3 - v*s**4 = 0.
-1, 2/5
Let p be 10 - 16 - (-3 - -1). Let k(i) = 6*i**2 + 12*i + 8. Let y(j) = -j**2 - j. Let l(v) = p*y(v) - k(v). Factor l(o).
-2*(o + 2)**2
Let p(k) = 9*k**2 - 6280*k + 1984496. Let n(t) = 125*t**2 - 87925*t + 27782945. Let d(m) = -4*n(m) + 55*p(m). What is s in d(s) = 0?
630
Let v(c) be the third derivative of 1/1140*c**6 + 0*c**3 - 4*c**2 - 1/114*c**5 + 1/38*c**4 + 0*c + 2. Factor v(u).
2*u*(u - 3)*(u - 2)/19
Let r = -481382 - -2406911/5. Let -5*o + 24/5 + r*o**2 = 0. Calculate o.
1, 24
Factor 0 - 54/5*u**2 - 189/5*u + 3/5*u**3.
3*u*(u - 21)*(u + 3)/5
Solve -9 - 78 - 95 - 54*i - 131 + 3*i**2 + 49 = 0.
-4, 22
Let z(c) be the second derivative of -2*c**2 + 6/7*c**7 - 34/15*c**6 + 0 + 6*c**4 + 5*c - 14/3*c**3 - 2/5*c**5. Factor z(h).
4*(h - 1)**3*(h + 1)*(9*h + 1)
Suppose 2*g - 178 = -4*t + 232, -g = 3*t - 309. Suppose -t = -172*d + 159*d. Factor -d*i + 4*i**2 - 2/3*i**3 + 16/3.
-2*(i - 2)**3/3
Let t(r) be the first derivative of 5*r**4/4 + 55*r**3/3 - 35*r**2 - 120*r - 1833. Factor t(g).
5*(g - 2)*(g + 1)*(g + 12)
Let o be ((24/(-21))/8)/(245/(-490)). Factor -20/7*p - o*p**2 - 48/7.
-2*(p + 4)*(p + 6)/7
Let l be (-155)/(-90) + (-154)/99. Let d be (-2)/(-36)*39 - 2. Factor -1/6*m**3 - l*m**2 + 0*m + 1/6*m**5 + d*m**4 + 0.
m**2*(m - 1)*(m + 1)**2/6
Let r(p) be the third derivative of -p**6/60 - p**5/10 + 3*p**4/2 + 40*p**3/3 + 9*p**2 - 48. Factor r(s).
-2*(s - 4)*(s + 2)*(s + 5)
Let p(s) = 26*s**3 - 6234*s**2 + 609960*s - 152095. Let b(d) = 28*d**3 - 6232*d**2 + 609960*d - 152094. Let z(y) = 5*b(y) - 6*p(y). Let z(w) = 0. Calculate w.
1/4, 195
Suppose -48 = 63*l - 79*l. Factor l*t**3 - 211*t**2 - 40*t + 246*t**2 + 2*t**3.
5*t*(t - 1)*(t + 8)
Let x(b) be the first derivative of 2*b**7/315 - 5*b**6/54 + b**5/15 - b**3/3 + 35*b**2 + 37. Let l(f) be the third derivative of x(f). Factor l(z).
4*z*(z - 6)*(4*z - 1)/3
Factor 5*s**4 - 240*s**2 + 1346 - 5536*s**3 + 5476*s**3 + 4654 + 2800*s.
5*(s - 10)**2*(s + 2)*(s + 6)
Let g(z) be the first derivative of z**4 + 32*z**3 + 46*z**2 - 6734. Factor g(f).
4*f*(f + 1)*(f + 23)
Let q(f) be the first derivative of f**6/576 + 133*f**5/960 - 9*f**4/32 + 8*f**3/3 + 33. Let s(a) be the third derivative of q(a). Solve s(c) = 0 for c.
-27, 2/5
Let s(u) = u**3 - 7*u**2 + 12*u + 6. Let x be s(6). Let z = x + -38. Determine p, given that 40*p + p**2 - 39*p - p**z - 4*p**3 + 3*p**3 = 0.
-1, 0, 1
Factor -1/6*b**3 + 24389/6 - 841/2*b + 29/2*b**2.
-(b - 29)**3/6
Let 78 + 187*j**2 - 93*j**3 - 30 + 17*j**4 - 75*j + 491*j**5 - 492*j**5 - 83*j = 0. What is j?
1, 6, 8
Suppose -j + 22 + 86 = 0. Factor 35*b**3 - 75*b**3 + j*b - 48*b**2 - 56 + 36*b**3.
-4*(b - 1)**2*(b + 14)
Let y(t) be the third derivative of 3*t**8/112 - 166*t**7/35 + 821*t**6/60 - 191*t**5/15 + 109*t**4/24 - 1520*t**2 + 2*t. Let y(c) = 0. Calculate c.
0, 1/3, 1, 109
Solve 2/3*s**3 + 0 + 0*s + 10/3*s**4 - 2/3*s**5 - 10/3*s**2 = 0.
-1, 0, 1, 5
Let w be 198/11 + -24*261/351. Determine j so that 0 - 8/13*j - 16/13*j**2 - 6/13*j**3 + 4/13*j**4 + w*j**5 = 0.
-2, -1, 0, 2
Suppose -77*c - 175*c - 2 = -78*c - 2. Factor -7*k - 11/4*k**3 + 8*k**2 + 1/4*k**4 + c.
k*(k - 7)*(k - 2)**2/4
Let o(n) be the third derivative of n**8/5040 - n**7/252 - 29*n**5/60 - 90*n**2. Let c