*a**2 + 2*a. Factor s(l).
-2*(l + 81)*(17*l + 2)
Let s(l) be the first derivative of -21 - 3/4*l**4 - 2*l**3 + 0*l - 3/2*l**2. What is k in s(k) = 0?
-1, 0
Let u(v) be the second derivative of 9*v - 1/54*v**4 + 4 + 5/27*v**3 - 4/9*v**2. Factor u(z).
-2*(z - 4)*(z - 1)/9
Let k(p) be the third derivative of 0*p - 29/45*p**5 + 0 - 19*p**2 + 2*p**3 + 47/36*p**4 - 7/180*p**6. Factor k(o).
-2*(o - 1)*(o + 9)*(7*o + 2)/3
Let l(x) be the first derivative of -5*x**6/6 - 8*x**5 - 15*x**4 + 10*x**3/3 + 65*x**2/2 + 30*x - 260. Suppose l(s) = 0. Calculate s.
-6, -1, 1
Let q(k) = -29*k**3 - 53*k**2 - 172*k + 527. Let p(b) = 106*b**3 + 211*b**2 + 687*b - 2109. Let r(v) = -15*p(v) - 55*q(v). Factor r(a).
5*(a - 53)*(a - 2)*(a + 5)
Let v = 68 - 71. Let j(l) = -l**3 - 6*l**2 + 9*l + 5. Let p(c) = c**3 + 7*c**2 - 10*c - 4. Let y(w) = v*p(w) - 4*j(w). Find o, given that y(o) = 0.
-4, -1, 2
Let z = 44 + -36. Suppose -42 = 6*a - z*a. Suppose 4 + 2 + 39*n**3 + a*n - 45*n**2 - 12*n**4 - 9 = 0. Calculate n.
1/4, 1
Factor 51*r**3 + 105*r - 1/2*r**4 + 0 + 313/2*r**2.
-r*(r - 105)*(r + 1)*(r + 2)/2
Suppose -2565 = -2*w + 5*n, 2*w = -3*n + 1681 + 780. Find q, given that -w - 1200*q - 1/2*q**3 + 99/2*q**2 = 0.
-1, 50
Let o(b) = -7 - b**3 + 4*b**2 - 1 + 2*b**2 - 3*b. Let x be o(5). Solve -19*s + 3*s**x + 9*s + 12*s - s**2 = 0.
-1, 0
Let c = -86 - -134. Solve -4*p**5 + p**5 + 52*p**2 - c + 9*p**4 - 29*p**4 + 32*p - p**5 - 12*p**3 = 0 for p.
-3, -2, 1
Let f(k) be the third derivative of -k**9/161280 + 3*k**8/17920 + k**7/1344 + k**5/60 - 3*k**4 - 86*k**2. Let l(i) be the third derivative of f(i). Factor l(x).
-3*x*(x - 10)*(x + 1)/8
Let p be 4 + (-7 - -4) - 5. Let y be p + -1 + 21/3. Factor 1/3*g + 1/3*g**y + 0.
g*(g + 1)/3
Let z(h) be the first derivative of 72 - 40/39*h**3 + 3/26*h**4 + 27/13*h**2 - 20/13*h. Let z(k) = 0. Calculate k.
2/3, 1, 5
Let y = -5 - -29/4. Let x(k) be the first derivative of 0*k**2 - 3*k**5 + 2*k**3 - y*k**4 + 0*k + 3. Determine p, given that x(p) = 0.
-1, 0, 2/5
Let b(h) be the third derivative of -h**6/10 - 130*h**5/3 - 5904*h**4 - 15552*h**3 + 3681*h**2. Factor b(i).
-4*(i + 108)**2*(3*i + 2)
Factor -1/9*z**2 - 14868736/9 + 7712/9*z.
-(z - 3856)**2/9
Let u(q) be the second derivative of 4*q - 25*q**2 + 4 - 15/2*q**3 + 5/12*q**4. Factor u(r).
5*(r - 10)*(r + 1)
Factor 2/9*c**2 + 2/9 + 4/9*c.
2*(c + 1)**2/9
Let c(w) be the second derivative of -w**5/4 + 5*w**4/12 + 5*w**3 - 3177*w. What is k in c(k) = 0?
-2, 0, 3
Let n(a) = a + 16*a**2 - 7*a**2 - 8*a**2 + 2. Let i be n(0). What is r in 3*r**i - 17*r + 14*r + 0*r**2 + 3*r**3 - 3*r**4 = 0?
-1, 0, 1
Let o be (1 - 5/(-15))*2694/96. Let z = o - 223/6. Determine m so that -1 + 1/4*m**2 + z*m**3 - m = 0.
-2, -1, 2
Let n(s) be the second derivative of 1/20*s**5 + 0 - 7/18*s**3 + 157*s + 1/18*s**4 + 1/3*s**2. Factor n(p).
(p - 1)*(p + 2)*(3*p - 1)/3
Factor -1692597*i + 4890*i**2 + 1124934 - 9*i**3 - 1177*i**2 + 4087*i**2.
-3*(i - 433)**2*(3*i - 2)
Let r be (-4)/(-490)*-1*(-8 - -2). Let k = 404/245 - r. Factor -k - 2/5*f**2 - 2*f.
-2*(f + 1)*(f + 4)/5
Let a = -43545 - -61058. Factor 36 - 17423*y**3 - 35*y - 121*y + 93*y**2 + a*y**3.
3*(y + 2)*(3*y - 2)*(10*y - 3)
Let i(s) be the first derivative of -64/15*s - 1/30*s**4 + 0*s**2 + 96 + 4/15*s**3. Factor i(m).
-2*(m - 4)**2*(m + 2)/15
Let s(g) be the second derivative of -4/15*g**3 + 1/4*g**4 + 1/150*g**6 + 2/25*g**5 + 0 - 8/5*g**2 + 150*g. Factor s(y).
(y - 1)*(y + 1)*(y + 4)**2/5
What is f in 30/19 - 172/19*f**2 + 142/19*f**4 + 2*f**5 + 36/19*f**3 - 74/19*f = 0?
-3, -1, 5/19, 1
Let p be (0 - -8)*-5*(-6)/40. Suppose 11*n + 0*n = p*n. Factor -18/5*f**3 - 3/5*f - 3/5*f**5 - 12/5*f**4 + n - 12/5*f**2.
-3*f*(f + 1)**4/5
Let q(y) be the second derivative of y - 57 + 0*y**2 + 1/180*y**6 - 1/72*y**4 - 1/40*y**5 + 1/12*y**3. Factor q(f).
f*(f - 3)*(f - 1)*(f + 1)/6
Let t(n) be the first derivative of -3*n**4/20 + 82*n**3/5 - 717*n**2/10 + 474*n/5 - 13. Factor t(p).
-3*(p - 79)*(p - 2)*(p - 1)/5
Let b be 6*(-1)/4 - 3/(-2). Let i(r) be the first derivative of 24 + 3/4*r**4 + 1/3*r**2 + 7/9*r**3 + 1/18*r**6 + b*r + 1/3*r**5. Let i(d) = 0. Calculate d.
-2, -1, 0
Let n = -81 - -407/5. What is b in -2/5*b**2 - 2/5*b + 2/5 + n*b**3 = 0?
-1, 1
Factor 4*f**2 - 4*f**2 - 130981*f + 3*f**2 + 131210*f - 2*f**2 + 454.
(f + 2)*(f + 227)
Let c be (-100)/8*-1*(-120)/(-25). Suppose -11*w + c = 9*w. Let q**5 + 2/5*q**w + 0*q + 7/5*q**4 + 0 + 0*q**2 = 0. What is q?
-1, -2/5, 0
Let h(q) = q**2 + 19*q - 145. Let z be h(6). Let f(i) be the third derivative of -3/10*i**z - 4/3*i**4 + 0 + 0*i + 47*i**2 + 4/3*i**3. Factor f(x).
-2*(x + 2)*(9*x - 2)
Determine q, given that 393/2*q + 195 + 3/2*q**2 = 0.
-130, -1
Let m(n) = n**4 - n**3 - n**2 + n. Let k(x) = 5*x**3 - 4*x**2 - x. Let w be 7*(6 - 5) + -5. Let i(d) = w*m(d) + 2*k(d). Factor i(z).
2*z**2*(z - 1)*(z + 5)
What is x in 62/7*x - 240/7 - 2/7*x**3 + 12/7*x**2 = 0?
-5, 3, 8
Let y(x) be the first derivative of -5*x**3/3 + 410*x**2 - 33620*x - 523. Factor y(d).
-5*(d - 82)**2
Let i be 13 - (6 + -1) - 2595/346. What is c in i*c - 1/3 + 1/3*c**2 = 0?
-2, 1/2
Let h(y) be the second derivative of -y**4/12 + 257*y**3/6 + 129*y**2 + 27*y + 37. Factor h(d).
-(d - 258)*(d + 1)
Let a(u) be the second derivative of -145*u**5/4 + 115*u**4/2 - 80*u**3/3 + 7*u + 34. Factor a(p).
-5*p*(5*p - 2)*(29*p - 16)
Let z(n) be the first derivative of -75*n**3 - 5/2*n**2 - 83 + 225*n + 5/4*n**4. Factor z(d).
5*(d - 45)*(d - 1)*(d + 1)
Suppose 210*d**3 - 89952 + 244*d + 89952 + 595*d**2 + 5*d**4 + 146*d = 0. What is d?
-39, -2, -1, 0
Let y = -2842 - -2846. Let h(a) be the first derivative of -3/4*a**y + 0*a**2 - 8 + 0*a - 2*a**3. Factor h(d).
-3*d**2*(d + 2)
Suppose -50*j**4 - 92*j**3 + 188*j + 31*j**4 + 21*j**4 - 71*j**2 - 27*j**2 = 0. Calculate j.
-2, 0, 1, 47
Solve 304*l**2 + 397*l - 307 + 223*l + 424 - 4*l**3 + 195 = 0 for l.
-1, 78
Let u(o) = -2*o**3 - 47*o + 316. Let d be u(4). Solve 1/2*p**2 - 1/2*p**3 - 1/2*p**4 + d + 1/2*p = 0 for p.
-1, 0, 1
Let t be 2/(-7) + (5 - (-926)/(-189)). Let m = 1/27 - t. Let 8/9*y + 2/9 - 4/9*y**2 - 16/9*y**3 + m*y**4 + 8/9*y**5 = 0. What is y?
-1, -1/4, 1
Let t(v) be the second derivative of 5*v**4/12 + 1270*v**3/3 + 7575*v**2/2 - v - 252. Factor t(i).
5*(i + 3)*(i + 505)
Let p be (-669885)/(-27750) - (-48)/(-2). Let o(a) be the second derivative of 0*a**2 + 0 + 1/5*a**4 - 9/25*a**5 + 0*a**3 + 11*a - p*a**6. Factor o(c).
-3*c**2*(c + 2)*(7*c - 2)/5
Let x be ((-16)/(-17) + 40/680)*27/6. Find y such that -33/2*y + 12*y**2 + x = 0.
3/8, 1
Solve -626/3*c**2 - 206/3 + 8/3*c**5 - 826/3*c + 818/3*c**3 + 832/3*c**4 = 0 for c.
-103, -1, -1/2, 1
Let r(l) = -48*l**2 + 189*l - 234. Let d(p) = 19*p**2 - 75*p + 94. Suppose 2*f - 39 = -29. Let o(g) = f*r(g) + 12*d(g). Factor o(q).
-3*(q - 2)*(4*q - 7)
What is f in -232/7 - 228/7*f + 4/7*f**2 = 0?
-1, 58
Let i(o) be the second derivative of 14*o**2 - 12*o**3 + 23 + 6/5*o**5 - o + 5/3*o**4. Factor i(d).
4*(d - 1)*(2*d - 1)*(3*d + 7)
Let l be (((-357)/567)/17)/(1/(-3)). Let g(s) be the third derivative of -4/9*s**3 - 18*s**2 + 0 + 0*s + l*s**4 + 7/90*s**5 + 1/90*s**6. Solve g(m) = 0 for m.
-2, 1/2
Let p(c) be the third derivative of -6*c**2 + 0*c + 3/10*c**5 + 1/10*c**6 - 3 - 3/35*c**7 - 5/8*c**4 + 1/112*c**8 + 0*c**3. Factor p(b).
3*b*(b - 5)*(b - 1)**2*(b + 1)
Suppose -c - 3*r = -5, -2*r = -0*r - 2. Let t be ((35/(-10))/(-7))/(c/12). Factor -2*v**5 + 7*v**3 - t*v**4 - 4*v**3 - 3*v**3 - v**3.
-v**3*(v + 1)*(2*v + 1)
Let z(v) be the first derivative of v**3/24 - 95*v**2/16 + 225*v/4 - 14089. Factor z(k).
(k - 90)*(k - 5)/8
Suppose 94*r = -1110*r. Factor 142/3*z + 2/3*z**2 + r.
2*z*(z + 71)/3
Let a(k) be the first derivative of 0*k + 32 + 1/4*k**3 + 1/16*k**4 - 5/4*k**2. Factor a(l).
l*(l - 2)*(l + 5)/4
Let a(o) = 25*o**4 + 866*o**3 + 877*o**2 - 18*o. Let z(t) = 270*t**4 + 9525*t**3 + 9645*t**2 - 195*t. Let c(n) = -65*a(n) + 6*z(n). Factor c(l).
-5*l**2*(l - 173)*(l + 1)
Let q = 17488/17 - 122212/119. Factor q - 2/7*n**3 - 22/7*n + 12/7*n**2.
-2*(n - 3)*(n - 2)*(n - 1)/7
Let f = 561688/5 - 112334. Factor -f*q**2 - 54/5 - 2/5*q**3 - 54/5*q.
-2*(q + 3)**3/5
Determine g, given that -198*g - 1/7*g**2 + 1387/7 = 0.
-1387, 1
Suppose 1010 = 5*t - 1014 + 2014. Factor -18*f + 1/2*f**t + 162.
(f - 18)*