= -46 + 40. Let z be c/((-108)/33) - (-2)/12. Let 5*m**z + m**2 + 1541*m**3 - 1549*m**3 = 0. Calculate m.
0, 3/4
Let u(t) be the first derivative of 15 + 25*t - 2*t**3 + 0*t**4 + 0*t**2 + 3/20*t**5. Let a(y) be the first derivative of u(y). Factor a(n).
3*n*(n - 2)*(n + 2)
Suppose -14*u = 371 + 553. Let o = 68 + u. Factor 24*l**2 - 18*l - o*l**3 - 7*l + 25*l.
-2*l**2*(l - 12)
Let w(v) be the first derivative of v**4 - 16*v**2 - 24 - 48*v + 4/3*v**3. Factor w(p).
4*(p - 3)*(p + 2)**2
Let r(w) be the second derivative of -w**5/30 + 19*w**4/18 - 50*w**3/9 + 32*w**2/3 + 15*w + 3. Suppose r(v) = 0. What is v?
1, 2, 16
Let d(s) be the third derivative of -s**7/105 - 9*s**6/20 - 10*s**5/3 + 63*s**4 - 880*s**3/3 + 290*s**2 + 4*s. Find y such that d(y) = 0.
-20, -11, 2
Suppose -900/7 - 4*p**2 - 2/7*p**3 + 930/7*p = 0. What is p?
-30, 1, 15
Let v(d) be the first derivative of -3*d**4/28 - 555*d**3/7 - 115092*d**2/7 + 231852*d/7 + 432. Factor v(u).
-3*(u - 1)*(u + 278)**2/7
Let h be (-14)/63 - 1001/(-9). Find j, given that -2 + 10*j + h*j**2 - 116*j**2 - 3 = 0.
1
Let q(s) be the first derivative of 13 + 50*s - 15/2*s**2 - 20/3*s**3. Suppose q(m) = 0. What is m?
-2, 5/4
Let s(b) be the first derivative of -2*b**4/7 - 37*b**3/7 - 27*b**2 + 7*b + 2400. Solve s(h) = 0.
-7, 1/8
Let v(k) be the third derivative of 240*k**2 + 0*k + 0 + 3/40*k**6 + 1/140*k**7 + k**3 + 13/40*k**5 + 3/4*k**4. Factor v(c).
3*(c + 1)**2*(c + 2)**2/2
Suppose -4*h + k + 2 + 48 = 0, -4*h + 2*k + 52 = 0. Let t be (-4 - -1)*h/(-9). Factor 4*o**4 - 6*o**t + 30*o**2 + 2*o - 13*o - 5*o - 12*o**3.
-2*o*(o - 1)**2*(o + 8)
Find i such that 55*i + i**2 - 485*i - 6*i**2 + 3*i**2 = 0.
-215, 0
Let z(d) be the first derivative of 2*d**3/9 - 1070*d**2/3 + 572450*d/3 - 3408. Let z(w) = 0. Calculate w.
535
Determine y, given that 5/3*y**4 + 9200/3*y**3 + 2116000*y**2 + 223872800000/3 + 1946720000/3*y = 0.
-460
Suppose -7 - 7 = -7*u. Factor -75*i**2 + 72*i + 12 + 29*i**2 + 7*i**u.
-3*(i - 2)*(13*i + 2)
Let c(r) be the second derivative of r**7/441 + 8*r**6/63 + 38*r**5/15 + 56*r**4/3 - 2*r + 159. Factor c(a).
2*a**2*(a + 12)*(a + 14)**2/21
Let x(q) be the third derivative of 5*q**7/42 - q**6/2 - 3*q**5/4 + 25*q**4/6 + 10*q**3 - 87*q**2 - 4*q. Factor x(h).
5*(h - 2)**2*(h + 1)*(5*h + 3)
Factor 95735*z**3 + 47055*z**3 + 8*z + 3021*z**2 - 841*z**2 - 74529*z**4 + 5176*z**3.
-z*(z - 2)*(273*z + 2)**2
Factor 399/2 - 32*g + 1/2*g**2.
(g - 57)*(g - 7)/2
Let o = -115025 - -460101/4. Factor -o*u**3 - 7/4*u**2 + 0*u + 0.
-u**2*(u + 7)/4
Let s(x) = -2*x**2 - 58*x + 2. Let d(o) = 4*o**2 - 366*o + 75*o - 13*o**2 + 11. Let z(u) = -2*d(u) + 11*s(u). Factor z(m).
-4*m*(m + 14)
What is x in 11076*x - 11453643 - 2*x**2 + 4454*x - 3*x**2 - 605402 = 0?
1553
Let o be (-3315)/(-442)*35/21. Let -20*j + 10 - o*j**2 = 0. Calculate j.
-2, 2/5
Suppose 136*o + 4 = 137*o, -u + 5*o = 20. Suppose 2*b + 2*b**4 - 22/3*b**2 + u + 10/3*b**3 = 0. Calculate b.
-3, 0, 1/3, 1
Factor -31/4*t**3 + 69/2*t**2 + 1/4*t**4 + 26 - 53*t.
(t - 26)*(t - 2)**2*(t - 1)/4
Suppose 2575*q - 2569*q - 30 = 0. Let x(k) be the second derivative of -2*k**2 - 2/3*k**4 + 5/3*k**3 + 0 + 1/10*k**q - 23*k. Factor x(l).
2*(l - 2)*(l - 1)**2
Let v be (0/5)/(-25 + -4 + 31). Let 0 + 1/5*o**3 - 1/5*o**2 + 1/5*o**4 - 1/5*o**5 + v*o = 0. What is o?
-1, 0, 1
Suppose -3/8*h**3 - 93/4*h - 48 + 195/8*h**2 = 0. Calculate h.
-1, 2, 64
Let b be ((-9)/(-6) - 2)/((-16)/(-128)). Let n be (5 + -5)/(b - (-4 + 6)). Find p, given that 3/4*p**2 + n*p - 3/4 = 0.
-1, 1
Let b(i) be the third derivative of 0 - 3*i - 3/2*i**4 + 15*i**2 + 27*i**3 + 1/30*i**5. Solve b(d) = 0.
9
Let x(r) be the second derivative of -r**4/30 - 418*r**3/15 + 419*r**2/5 + 97*r. Factor x(t).
-2*(t - 1)*(t + 419)/5
Let a(b) be the first derivative of b**6/3 + 32*b**5/5 - 980*b**3/3 + 1199*b**2 - 1452*b + 2367. Find f, given that a(f) = 0.
-11, 1, 2, 3
Factor 339*x - 4*x**3 + 368*x**2 + 494*x**2 - 302*x**2 + 225*x.
-4*x*(x - 141)*(x + 1)
Let j(d) be the third derivative of d**8/56 + 8*d**7/105 + d**6/60 - 4*d**5/15 - d**4/3 + 5*d**2 - 86*d. Determine v so that j(v) = 0.
-2, -1, -2/3, 0, 1
Find u, given that -988*u**2 + 2845*u**4 + 2844*u**4 - 300*u - 260*u**3 - 5677*u**4 = 0.
-3, -1/3, 0, 25
Let i(w) be the third derivative of 1/320*w**6 + 1/160*w**5 - 191*w**2 - 3/32*w**4 + 0 + 0*w + 0*w**3. Factor i(d).
3*d*(d - 2)*(d + 3)/8
Suppose -2*i + 7 - 1 = 0. Suppose -3 = r, -12 = 2*q + 7*r + 5. Factor 1/3*s**i - 1/3*s + 1 - s**q.
(s - 3)*(s - 1)*(s + 1)/3
Let g be (2/(-9))/((-3)/81). Let x be -3 + (4/g)/(182/897). Solve -2/7*t**3 + x - 2/7*t**2 + 2/7*t = 0 for t.
-1, 1
Factor 4*z**2 + 5*z**3 + 8375*z - z**2 - 3*z**2 + 8*z**2 - z**4 - 8387*z.
-z*(z - 6)*(z - 1)*(z + 2)
Let g(s) be the third derivative of 0*s**3 - 1/120*s**6 + 0*s - 2/105*s**7 + 20*s**2 - 1 + 0*s**5 + 5/336*s**8 + 0*s**4. What is l in g(l) = 0?
-1/5, 0, 1
Let m be -46 - 63/(189/(-138)). Factor 2/5*v + 2/5*v**2 + m.
2*v*(v + 1)/5
Let w(k) be the third derivative of k**8/112 - 31*k**7/70 + 51*k**6/20 + 83*k**5/10 - 103*k**4/8 - 135*k**3/2 + 106*k**2 - 3. Let w(a) = 0. What is a?
-1, 1, 5, 27
Suppose -3*w + 2*i - 8 = 0, -2*w + 1 = 4*i - 15. Let x be (w - -12)/4 - 1. Factor 50*y - y**2 - 7*y**x - 125 + 2*y**2 + y**2.
-5*(y - 5)**2
Let m(l) be the first derivative of -2*l**5/25 + 2*l**4 - 52*l**3/5 - 44*l**2 - 242*l/5 - 2741. Determine w, given that m(w) = 0.
-1, 11
Let q be 7 - (6 + -6 + 6) - -7. Let d = 3 - -2. Factor q - 3 + 6*r + d*r**2 + 24*r + 20.
5*(r + 1)*(r + 5)
Let m(k) be the third derivative of 0*k**3 + 5*k**5 + 55*k**2 + 0*k + 0*k**4 + 1/2*k**6 + 1/70*k**7 + 0. Suppose m(p) = 0. What is p?
-10, 0
Let v(f) be the second derivative of f**5/100 - 113*f**4/30 - 458*f**3/15 - 92*f**2 + 3483*f + 1. Factor v(h).
(h - 230)*(h + 2)**2/5
Let p(j) be the first derivative of j**3/12 + 86*j**2 + 29584*j - 733. Solve p(g) = 0.
-344
Factor -43134*a + 4*a**5 - 44*a**4 - 112*a**2 + 43134*a + 128*a**3.
4*a**2*(a - 7)*(a - 2)**2
Let d(j) = j**2 + 49*j + 66. Suppose 5*s - 55 = 5*u, s + 3*s - 29 = u. Let b(w) = -w**2 + w - 1. Let g(i) = s*b(i) + d(i). Factor g(z).
-5*(z - 12)*(z + 1)
Let x(w) be the first derivative of 72*w + 48 + 4/5*w**5 - 28/3*w**3 + 3*w**4 - 30*w**2. Factor x(t).
4*(t - 2)*(t - 1)*(t + 3)**2
Let v = -907 - -6311/7. Let o = 57/14 - v. Find t such that -t - o*t**2 + 0 = 0.
-2/19, 0
Factor -4*p**3 + 184272 - 9008*p - 15541*p - 566196 - 860*p**2 - 25303*p.
-4*(p + 9)*(p + 103)**2
Suppose -7*x + 2*x - 14 = -29*i + 27*i, 0 = -3*i + 36. Find o such that 2/5*o**3 + 256/5 + 36/5*o**x + 192/5*o = 0.
-8, -2
Let w(m) = -3*m - 3. Let o be 3/(-2)*(4/3 - 0). Let k be w(o). Factor 2*c + 2*c**2 - c**k - 2*c**2 - c**2 + 2*c**2.
-c*(c - 2)*(c + 1)
Suppose -129*y = 4*c - 133*y + 20, 4*y = 44. Factor c*b - 15/7 + 9/7*b**2.
3*(b + 5)*(3*b - 1)/7
Factor 15/4*v - 27/8 - 3/8*v**2.
-3*(v - 9)*(v - 1)/8
Suppose 4 = 31*l - 9 + 13. Let o(q) be the second derivative of 0*q**2 + 0*q**4 + 2/15*q**7 + 0*q**3 - 2/25*q**5 + l - 8*q - 2/15*q**6. What is u in o(u) = 0?
-2/7, 0, 1
Suppose 2*d + 99 - 1885 = 0. Let z be 5 - ((-1)/(-10) - d/(-190)). Factor 2/5*s + 1/5*s**2 - z*s**3 + 0.
-s*(s - 2)*(s + 1)/5
Let h(d) be the second derivative of -d**5/5 + 183*d**4 + 199*d + 12. Factor h(z).
-4*z**2*(z - 549)
Let j = -65 + 62. Let x = 7 + j. Solve 29*u**x - 34*u**4 + 30 - 65*u + 20*u**2 + 15*u**2 + 5*u**3 = 0 for u.
-3, 1, 2
Let m = 2/376803 - -1130401/1507212. Factor 1/4*r**2 - m*r**3 + 0*r + 0.
-r**2*(3*r - 1)/4
Let r = -625 + 627. Suppose p - 3 = r*p, -10 = -2*k + 2*p. Factor 0 + 8/5*h**3 - 16/5*h**k + 0*h - 1/5*h**4.
-h**2*(h - 4)**2/5
Let f(t) be the third derivative of -t**7/945 - 5*t**6/108 - 3*t**5/10 + 35*t**4/4 - 50*t**3 + 1698*t**2. Determine r, given that f(r) = 0.
-15, 2, 3
Suppose -3 = 2*x + i, 5*x + 10 = i - 4*i. Let c be 13 + (-2 - x*(3 - 4)). Factor -c + 46*d + 2*d**2 + 4*d**2 + 2*d**2.
2*(d + 6)*(4*d - 1)
Let j(f) be the second derivative of 5*f**2 - 1/84*f**4 + 0*f**3 - 1/210*f**5 + 21*f + 0. Let d(l) be the first derivative of j(l). Factor d(b).
-2*b*(b + 1)/7
Suppose 4*i - 7*i = -138. Let w = i - 26. Factor -w*h**4 + 41*h**4 + 55*h**2 - 16*h**4 - 30*h - 30*h**3.
5*h*(h - 3)*(h - 2)*(h - 1)
Let t = 741/502 - -6/251. Let w(l) be the first derivative of 0*l - t*l**2 + 15 -