rd derivative of 0*i - 18*i**3 - 3/2*i**4 + 6*i**2 - j*i**5 + 0. Factor l(f).
-3*(f + 6)**2
Let f(q) be the first derivative of -32*q**2 + 68*q - 4/3*q**3 + 26. Solve f(d) = 0.
-17, 1
Let t be (-42)/(882/(-763)) - 35. Determine w, given that -t*w - 2*w**4 - 4/3*w**3 + 0 + 14/3*w**2 = 0.
-2, 0, 1/3, 1
Let b(q) be the third derivative of -5*q**8/336 + 4*q**7/7 - 13*q**6/3 + 89*q**5/6 - 225*q**4/8 + 95*q**3/3 + 11*q**2 - 42*q. Factor b(k).
-5*(k - 19)*(k - 2)*(k - 1)**3
Let v be 2/26 + (-962)/(-5070). Let x(b) be the second derivative of 4/25*b**5 + 1/3*b**4 + 0 + 2/75*b**6 + v*b**3 - 6*b + 0*b**2. Let x(o) = 0. Calculate o.
-2, -1, 0
Let h(c) be the third derivative of 0*c + 3/10*c**5 - 21/16*c**4 - 1/80*c**6 + 5/2*c**3 - 4*c**2 - 5. Let h(m) = 0. What is m?
1, 10
Let a(k) be the second derivative of k**4/12 + 13*k**3/2 + 99*k**2 + 1898*k. Factor a(s).
(s + 6)*(s + 33)
Solve 5567 - 3012*w + 7680*w**2 - 150*w**4 + 3103 + 5*w**5 - 13903*w + 710*w**3 = 0 for w.
-6, 1, 17
Let p(m) be the first derivative of -3*m**4/16 - 159*m**3/4 - 2214*m**2 + 25215*m + 2456. Factor p(g).
-3*(g - 5)*(g + 82)**2/4
Let d(c) = 1184*c**2 + 6*c - 26. Let f be d(3). Factor -f*h - 66*h**3 + h**4 + 120*h**2 + 863*h**2 + 469*h**2.
h*(h - 22)**3
Let x(u) = -2*u**4 + 8*u**3 - 10*u**2 - 28*u + 12. Let q(j) = -j**2 - 5*j + 1. Let k(o) = 4*q(o) - x(o). Factor k(n).
2*(n - 2)**2*(n - 1)*(n + 1)
Let n = 98083 + -490414/5. Factor 32/5 - 32/5*m - n*m**3 + 2*m**2.
-(m - 4)**2*(m - 2)/5
Let j(r) = 4*r**4 - 146*r**3 - 166*r**2 + 504*r + 232. Let g(c) = c**4 - 29*c**3 - 33*c**2 + 101*c + 47. Let s(o) = -16*g(o) + 3*j(o). Solve s(f) = 0 for f.
-2, -1/2, 2, 7
Let x(v) be the second derivative of 5*v**4/12 - 4250*v**3/3 + 1806250*v**2 - 2*v + 166. Suppose x(t) = 0. What is t?
850
Let b be (7/2)/7 + (-33786)/(-84). Let w = b + -402. Factor 3/7*k**2 - 9/7*k + w*k**3 + 1/7*k**4 + 0.
k*(k - 1)*(k + 3)**2/7
Suppose -5*s - 3 = 4*f, 436*s - 440*s = 5*f - 3. Let 1/4*p**f - 27/4 + 3/4*p**2 - 9/4*p = 0. What is p?
-3, 3
Let f = 356 + -341. Suppose -f = -8*y + 1. Let 1/6*p**y + 1/6 - 1/3*p = 0. What is p?
1
Let j(l) be the second derivative of 1/3*l**2 - 1/40*l**5 - 1/36*l**4 + 5/36*l**3 + 0 + 30*l. Solve j(q) = 0.
-1, 4/3
Suppose -2*f - 289 + 295 = 0, 3*x = -2*f + 18. Let h(v) be the first derivative of 0*v**2 + 0*v - 17 + 0*v**3 + 4*v**x + 4/5*v**5. Factor h(c).
4*c**3*(c + 4)
Let d(z) be the first derivative of -103 - 27/2*z**2 - 1/2*z**3 + 0*z. Find a, given that d(a) = 0.
-18, 0
Factor -143 - 161 + 3*o**2 + 24*o - 170 + 447.
3*(o - 1)*(o + 9)
Let k(m) be the third derivative of m**8/1176 - 20*m**7/147 + 272*m**6/35 - 2312*m**5/15 - 19652*m**4/21 - 52*m**2 + m - 2. Determine a so that k(a) = 0.
-2, 0, 34
Let q be ((-2)/6 - (-1)/2)/(12375/2750). Let n(c) be the third derivative of 1/12*c**4 + 0 + 0*c**3 + 36*c**2 + 0*c - q*c**5 + 1/540*c**6. Factor n(w).
2*w*(w - 9)*(w - 1)/9
Let z be 6/2 + -4 + 43. Let q = -31 + z. Find w, given that -2*w**2 - 8*w**2 + w - 2*w**2 + q*w**2 = 0.
0, 1
Let w be 8 - 28/42 - (8 - 6). Determine c, given that 169/3 + 104/3*c + w*c**2 = 0.
-13/4
Let h = 1017709 - 1017706. Factor -8/3 - 4/3*q + 5/3*q**h + 2*q**2 + 1/3*q**4.
(q - 1)*(q + 2)**3/3
Suppose -594*t - 8 = -598*t. Let j(o) be the first derivative of 5*o**t + 45/4*o**4 + 55/3*o**3 + 0*o + 3. Determine x, given that j(x) = 0.
-1, -2/9, 0
Let k(f) = -3*f**2 - 390*f - 1510. Let l be k(-4). Determine s, given that 4*s - 30/7 + 2/7*s**l = 0.
-15, 1
Let u be (-6 - (-14958)/21) + 1 + -5. Let r = 703 - u. What is l in 4/7 - r*l + 1/7*l**2 = 0?
1, 4
Let w be 10/4*284/142 + (-4)/2. Find x, given that -78 - 14/3*x**2 + 2/3*x**w - 46*x = 0.
-3, 13
Let a(u) = 161*u**2 - 322*u**2 + 160*u**2. Let h = -5 + 6. Let c(k) = -2*k**2 - 3*k. Let s(n) = h*a(n) - c(n). Find z, given that s(z) = 0.
-3, 0
Let m be 98 + -105 + (-106)/(-15). Let l(t) be the second derivative of m*t**4 + 8/15*t**3 + 0 + 29*t + 8/5*t**2. Determine g so that l(g) = 0.
-2
Let j(t) be the third derivative of 0*t - 56*t**2 + 289/3*t**3 + 1/30*t**5 - 17/6*t**4 + 0. Factor j(c).
2*(c - 17)**2
Solve 2*y**5 + 864 - 84*y**2 + 92*y + 25*y**2 - 668*y - 37*y**2 - 30*y**4 + 136*y**3 = 0 for y.
-2, 2, 3, 6
Let z(r) be the second derivative of -r**4/6 - 85*r**3/3 - 84*r**2 + 88*r. Factor z(a).
-2*(a + 1)*(a + 84)
Suppose 69 + 122 = 78*u - 121. Let s be (11/(-55))/(((-6)/(-5))/(-2)). Factor -2/3*j**2 + 1/3 + 1/3*j**u - 2/3*j**3 + s*j + 1/3*j**5.
(j - 1)**2*(j + 1)**3/3
Let l(a) = 649*a + 29205. Let b be l(-45). Suppose -4/7*v**2 - 2/7*v**3 - 2/7*v + b = 0. What is v?
-1, 0
Let j be (-27 + 1)/((-2)/1). Suppose j*g = 12 + 27. What is z in -9*z**g - 127*z + 3*z**5 + 6*z**2 + 127*z = 0?
-2, 0, 1
Suppose 4*s**5 + 175*s**2 - 96*s**4 - 215*s**2 + 84*s + 264*s**3 - 216*s**2 = 0. Calculate s.
0, 1, 21
Let b(j) = -j**2 - 56*j + 143. Let d(r) = -5*r**2 - 225*r + 575. Suppose -30 = -5*t - 29*l + 24*l, -2*l = 0. Let w(o) = t*d(o) - 25*b(o). What is p in w(p) = 0?
5
Let v(u) be the second derivative of -u**5/540 + 5*u**4/24 + 33*u**2 + 3*u + 11. Let k(s) be the first derivative of v(s). Let k(j) = 0. Calculate j.
0, 45
Let v(d) be the first derivative of 4*d**5/5 - 87*d**4/4 - 115*d**3/3 - 4295. Factor v(s).
s**2*(s - 23)*(4*s + 5)
Factor 0*u + 0 - 205*u**2 - 207/2*u**3 - 1/2*u**4.
-u**2*(u + 2)*(u + 205)/2
Let i(v) = 2*v**2 - v + 4. Let y(f) = -33*f**2 - 318*f - 60. Let b(j) = 15*i(j) + y(j). Factor b(n).
-3*n*(n + 111)
Let y be 672/32 + (-1 - (3 - -1)). Let v be 96/84*2/(y/28). Determine d, given that 1/2*d**3 + d - 5/2*d**2 + 0 - 3/2*d**5 + 5/2*d**v = 0.
-1, 0, 2/3, 1
Let f be ((-1541952)/(-21414))/(-12) - -6. Let d = 3565/7138 - f. Let -1/2*s**2 - 1/2*s**5 + 0 + d*s**3 + 1/2*s**4 + 0*s = 0. Calculate s.
-1, 0, 1
Suppose 9*q - 4*q - 839 = -k, 3*k = 4*q - 675. Let b be (-10)/(-8) - 138/q. Factor -12/7 + 9/7*d + b*d**2.
3*(d - 1)*(d + 4)/7
Let y(q) = 3*q**4 - q**3. Let z(g) be the second derivative of -g**6/6 + g**5/10 + 13*g + 1. Let w(v) = 3*y(v) + 2*z(v). Find n, given that w(n) = 0.
0, 1
Factor -24*p + 255 + 73*p**2 + 5*p**3 - 201*p - 100*p - 8*p**2.
5*(p - 3)*(p - 1)*(p + 17)
Let q be (794/(-6))/(15/(-45)). Let v = q - 1585/4. Factor -3/4*c**3 + v*c**4 + 3/4*c + 3/2 - 9/4*c**2.
3*(c - 2)*(c - 1)*(c + 1)**2/4
Let n = -706055 - -706055. Factor 2/13*q + 4*q**4 - 18/13*q**5 + n + 12/13*q**2 - 48/13*q**3.
-2*q*(q - 1)**3*(9*q + 1)/13
Let s(d) be the second derivative of -d**4/3 + 908*d**3/3 - 103058*d**2 - 2716*d. Factor s(f).
-4*(f - 227)**2
Suppose 553*o = -568*o + 1110*o. Find b such that o*b - 2/9*b**4 + 0 - 200/9*b**2 - 40/9*b**3 = 0.
-10, 0
Suppose -17*f + 68*f = -306. Let t be f/(-21) - 10/(-63). Factor t*i**3 + 2/3*i**4 + 2/9*i**5 - 2/9 - 4/9*i**2 - 2/3*i.
2*(i - 1)*(i + 1)**4/9
Let f(g) be the first derivative of 34 + 0*g - 1/42*g**6 + 4/21*g**3 - 3/7*g**4 + 8/7*g**2 - 1/5*g**5. Solve f(t) = 0.
-4, -2, 0, 1
Factor -371*h**2 - 342*h - 205*h**2 - 23*h**3 + 30*h**3 - 17*h**3.
-2*h*(h + 57)*(5*h + 3)
Suppose 186 = -103*t + 165*t. Let i(n) be the third derivative of 0 - t*n**2 + 1/6*n**3 + 0*n - 1/240*n**5 - 1/32*n**4. Factor i(y).
-(y - 1)*(y + 4)/4
Suppose 240 = -3*j - 3*j. Let g be 9/(-12) + (-150)/j. Suppose -4/3*y**4 + 0 + 0*y - 4/3*y**2 + 8/3*y**g = 0. What is y?
0, 1
Let i = -499 - -510. Factor 1 + 4*j**3 + i + 4*j**2 - 13*j + 9*j - 16*j**2.
4*(j - 3)*(j - 1)*(j + 1)
Let a(u) be the second derivative of u**8/10080 - u**7/1260 - u**3/6 - 5*u**2/2 - 4*u - 7. Let l(s) be the second derivative of a(s). Factor l(w).
w**3*(w - 4)/6
Let z(i) be the second derivative of i**6/1800 + i**5/120 + i**4/30 + 77*i**3/6 - 118*i. Let k(n) be the second derivative of z(n). Factor k(g).
(g + 1)*(g + 4)/5
Let x(w) = 6*w**3 - w**2 - 2*w - 3. Let o(v) = -119 - 4*v**2 - 5*v + 52 + 57 + 19*v**3. Let n(t) = -2*o(t) + 7*x(t). What is i in n(i) = 0?
-1, -1/4, 1
Let p(h) be the second derivative of 7*h**5/120 - h**4/2 + 5*h**3/3 - 8*h**2/3 - 29*h + 11. Factor p(f).
(f - 2)**2*(7*f - 8)/6
Let g = 4458 + -4456. Let w(p) be the first derivative of g*p + 17 + 2/3*p**3 + 2*p**2. Factor w(i).
2*(i + 1)**2
Let k(h) be the first derivative of -15*h**4/4 - 265*h**3/3 - 125*h**2 - 8389. Factor k(p).
-5*p*(p + 1)*(3*p + 50)
Let c(d) be the third derivative of 0 - 16*d**2 + 0*d + 1/51*d**3 - 1/1020*d**6 - 1/510*d*