, 2/7
Let t(s) be the first derivative of 0*s + 0*s**3 + 0*s**2 - 65 + 1/5*s**4 + 1/15*s**6 + 6/25*s**5. Factor t(l).
2*l**3*(l + 1)*(l + 2)/5
Let l(w) = -w**2 + 7*w + 6. Let b be l(7). Determine g so that 4 - b*g - 3*g + 11*g - 2*g**2 = 0.
-1, 2
Let t(z) = -z**2 + 51*z - 605. Let s be t(32). Let g(k) be the second derivative of 0 + 3/20*k**2 - 1/120*k**4 + 8*k - 1/30*k**s. Find x, given that g(x) = 0.
-3, 1
Let f = -30 + 49. Suppose 4*h - 15*z = -f*z + 24, 0 = h + 2*z - 10. What is t in -18/11*t + 2/11*t**h + 16/11 = 0?
1, 8
Factor -342225/4 - 1/4*c**2 - 585/2*c.
-(c + 585)**2/4
Let a = -161 + 167. Find j such that 12 - 3*j**3 - a + 42*j**2 + 3*j**2 - 81*j + 33 = 0.
1, 13
Let v(w) be the first derivative of -2*w**3/3 + 107*w**2 + 552. Factor v(p).
-2*p*(p - 107)
Factor 120*s + 829*s + 341*s + 1285 + 43625*s**2 - 43620*s**2.
5*(s + 1)*(s + 257)
Suppose -52*l - 13813 = -13813. Suppose l*b + 1/3 - 1/3*b**2 = 0. What is b?
-1, 1
Let t(c) = -89*c + 433. Let z(r) = 357*r - 1729. Let d(l) = 9*t(l) + 2*z(l). Let w be d(5). Factor 1/4*o**w - 1/4*o**2 + 0 + 3/4*o**3 - 3/4*o.
o*(o - 1)*(o + 1)*(o + 3)/4
Let f = -45011 - -45014. Let d(v) be the second derivative of 11 - 5/4*v**f + v + 0*v**2 - 1/8*v**4. Factor d(c).
-3*c*(c + 5)/2
Let r be -60*((-12)/(-8) + 9/(-3)). Factor -61*p - 30454*p**2 + 6*p + r + 30459*p**2.
5*(p - 9)*(p - 2)
Let c(q) be the third derivative of q**6/540 - q**5/45 - 49*q**4/108 - 22*q**3/9 + 3198*q**2. Factor c(l).
2*(l - 11)*(l + 2)*(l + 3)/9
Let c = -66 + 131. Determine b so that 11*b + 24 + 1200*b**4 + 375*b**5 + 217*b + c*b**2 + 769*b**2 + 1455*b**3 = 0.
-1, -2/5
Let l(x) be the second derivative of x**7/1890 + x**6/108 + 8*x**4 - 6*x + 12. Let d(w) be the third derivative of l(w). Let d(a) = 0. What is a?
-5, 0
Let s(h) be the third derivative of -h**8/2184 - 2*h**7/455 - h**6/60 - 2*h**5/65 - h**4/39 - h**2 - 368. Suppose s(c) = 0. Calculate c.
-2, -1, 0
Let l(x) be the first derivative of x**8/2240 - x**7/160 + x**6/40 - 82*x**3/3 + 103. Let t(f) be the third derivative of l(f). Find i such that t(i) = 0.
0, 3, 4
Let q(p) be the first derivative of 1587*p**5/5 + 39606*p**4 - 62625*p**3 + 14538*p**2 - 1212*p + 6134. What is v in q(v) = 0?
-101, 2/23, 1
Let o(q) be the first derivative of q**4/6 - 238*q**3/9 + 350*q**2/3 - 464*q/3 - 10049. Suppose o(j) = 0. Calculate j.
1, 2, 116
Factor 3*f**2 + 2*f**2 - 99947 + 186745 + 115207 - 2824*f + 814*f.
5*(f - 201)**2
Let n(y) = -6*y - 55. Let h be n(-10). Let 3*l**3 + 28*l - 4*l**h + 8 - 8*l**4 + 58*l**2 - 7*l**2 - 22*l**2 + 5*l**3 + 3*l**2 = 0. What is l?
-1, 2
Let z = 5 + 4. Suppose 2*w = -4*c - 2, w + c - z = 4*c. Factor 899*o**2 - 8*o**3 + 4*o**4 + 4*o + 1 + w + 4*o**5 - 907*o**2.
4*(o - 1)**2*(o + 1)**3
Let q(n) = 6*n**2 - 186*n + 672. Let y(v) = -7*v**2 + 187*v - 672. Let h(s) = 3*q(s) + 2*y(s). Determine j so that h(j) = 0.
4, 42
Let o be 2 - (22/(-99) + (-230)/18). Suppose 5*n = 2*n + o. Determine c, given that -2*c**2 + 20*c - 6*c + 12 - n*c - 11*c = 0.
-3, 2
Let y(l) be the third derivative of l**5/270 + 329*l**4/108 + 328*l**3/27 + 1821*l**2 - 2*l. Factor y(x).
2*(x + 1)*(x + 328)/9
Let h = -64/9 - -70/9. Let z(s) = 16*s - 444. Let v be z(28). Factor -1/3 + 0*t - 1/3*t**v + h*t**2 + 0*t**3.
-(t - 1)**2*(t + 1)**2/3
Factor -357*d**2 + 57*d**2 + 144*d + 4 + 9290*d**3 - 9138*d**3.
4*(d - 1)**2*(38*d + 1)
Let m(n) be the first derivative of -n**4/66 + 58*n**3/33 - 841*n**2/11 - 167*n + 143. Let z(w) be the first derivative of m(w). Solve z(d) = 0.
29
Let f(n) be the third derivative of n**6/180 + 2*n**5/9 - 23*n**4/12 - 21*n**2 + 3. Factor f(l).
2*l*(l - 3)*(l + 23)/3
Let f be -1 + 434424/(-38528) - -2. Let o = 7/688 - f. Factor -24/7*x**2 - o*x - 2/7*x**3 + 0.
-2*x*(x + 6)**2/7
Let t(x) be the second derivative of -123*x - 1/10*x**5 - 1/5*x**4 + 1/75*x**6 + 0*x**2 + 0*x**3 + 0. Find d such that t(d) = 0.
-1, 0, 6
Suppose 0 = f + b + 10 - 11, -3*f + 3*b = -15. Suppose -3*u - 2*r = -9, 9 = -f*u + 6*u + 5*r. Factor 0 - 3/8*j + 3/8*j**u + 3/8*j**4 - 3/8*j**2.
3*j*(j - 1)*(j + 1)**2/8
Let k(h) be the second derivative of h**7/14 - h**6/10 - 3*h**5/10 - 112*h + 10. Factor k(a).
3*a**3*(a - 2)*(a + 1)
Let g(j) be the first derivative of -1/3*j + 1/9*j**3 + 0*j**2 - 64. Let g(r) = 0. What is r?
-1, 1
Let p(l) be the first derivative of -8*l**5/25 + l**4/5 + 64*l**3/15 + 6*l**2/5 - 72*l/5 - 11123. Let p(u) = 0. Calculate u.
-2, -3/2, 1, 3
Let r = 4/1497 - -4978/4491. Let q(a) be the first derivative of -5 - 7/6*a**4 + 2/5*a**5 + 0*a + r*a**3 - 1/3*a**2. Suppose q(f) = 0. Calculate f.
0, 1/3, 1
Let h(d) = d**2 - 1. Let z(q) = -2*q**2 + 16*q - 42. Suppose 0 = 7*s - 1 - 41. Let b(k) = s*h(k) + z(k). Solve b(t) = 0 for t.
-6, 2
Let 2464/5*j + 4/5*j**2 + 0 = 0. What is j?
-616, 0
Let w(q) be the second derivative of -q**6/10 - 21*q**5/5 - 53*q**4/4 - 13*q**3 + 934*q. What is h in w(h) = 0?
-26, -1, 0
Determine r, given that 14/5*r**3 - 8/3*r - 28/15*r**2 - 16/15*r**4 + 16/5 + 2/15*r**5 = 0.
-1, 2, 3
Let m(k) = 4*k**5 + k**4 - 11*k**3 + 3*k**2 - 3*k. Let q = -121 + 124. Let v(p) = p**5 - p**4 - p**2 - p. Let g(b) = q*v(b) - m(b). Suppose g(s) = 0. What is s?
-6, 0, 1
Factor -1/4*q**2 + 1 + 1/8*q**5 - 3/2*q - 3/4*q**4 + 11/8*q**3.
(q - 2)**3*(q - 1)*(q + 1)/8
Suppose 34 = j - 5*f + 4*f, -4*j + 142 = 2*f. Let a(n) = -n**2 + 3*n - 1. Let w(m) = 6*m**2 - 8*m + 7. Let b(q) = j*a(q) + 5*w(q). Factor b(x).
-5*x*(x - 13)
Let q(k) = -16*k**3 - 4*k**2 + 761*k + 6364. Let h(a) = -9*a**3 - 2*a**2 + 380*a + 3184. Let g(v) = 7*h(v) - 4*q(v). Factor g(t).
(t - 22)*(t + 12)**2
Let d be 1/((-21)/(-121)) - ((-26)/(390/305) + 20). Find f, given that d*f - 8/7 + 22/21*f**2 = 0.
-6, 2/11
Let h be (1 - (-9)/(-8))*56/(-14). Let g = -35/312 - -191/312. Factor h + g*x**2 + x.
(x + 1)**2/2
Let t(z) be the third derivative of -z**8/168 + 13*z**7/490 + 37*z**6/420 - 17*z**5/420 - 5*z**4/28 + 4*z**3/21 - 637*z**2. Find f such that t(f) = 0.
-1, 2/7, 1/2, 4
Suppose -81 = 2*a - p - 307, -a - 5*p + 135 = 0. Let q be a/30 - 4 - 4/(-6). Factor 1/2*l**2 + q*l - 3.
(l - 2)*(l + 3)/2
Let z = -77 + 64. Let w(o) = o**2 + 14*o + 18. Let h be w(z). What is r in 16*r**3 - 10 - 4*r**h + 3 + 5*r**2 - 17*r**4 + 7 = 0?
-5, -1/4, 0, 1
Let f be 9 + (1384/(-152) - 4/(-38)). Let a(k) be the third derivative of 0*k + 0 - 3/5*k**5 - 24*k**2 + 0*k**3 - 1/210*k**7 - 1/10*k**6 + f*k**4. Factor a(l).
-l**2*(l + 6)**2
Let l(z) be the second derivative of z**5/20 + 25*z**4/2 - 152*z**3/3 + 24*z - 36. Factor l(y).
y*(y - 2)*(y + 152)
Let r(l) be the second derivative of -l**4/12 + 10*l**3/3 - 19*l**2/2 - 16*l - 33. Let r(b) = 0. Calculate b.
1, 19
Factor 53/3 + 35/2*m**3 - 107/6*m**2 + 1/6*m**4 - 35/2*m.
(m - 1)**2*(m + 1)*(m + 106)/6
Factor -102*b - 5*b**2 + 36 - 255 - 66 + 3*b**2 - 3.
-2*(b + 3)*(b + 48)
Let q(k) be the second derivative of k**4/72 + k**3 + 33*k**2/4 + 190*k - 5. Solve q(b) = 0.
-33, -3
Suppose t - 790*z + 794*z + 37 = 0, 3*t - 4*z = 49. Solve -1/8*p**2 - 3/8*p - 1/8*p**4 + 1/4 + 3/8*p**t = 0 for p.
-1, 1, 2
Factor 4548*n - 38*n**2 - 28*n**2 + 81*n**2 - 18*n**2 - 1723692.
-3*(n - 758)**2
Factor -5*o**2 + 6*o**2 + 56*o - 3652 - o**2 + 3832 + 4*o**2.
4*(o + 5)*(o + 9)
Let c(g) be the first derivative of -g**4/6 + 52*g**3/9 - 16*g**2 + 325. Let c(o) = 0. Calculate o.
0, 2, 24
Let r(u) be the second derivative of -u**5/70 - 3*u**4/2 - 902*u**3/21 - 120*u**2 + 3408*u. What is v in r(v) = 0?
-42, -20, -1
Let o = 7109/4294 - 279/226. Determine s so that o*s**5 - 48/19*s**3 + 52/19*s**2 - 8/19*s - 6/19 + 2/19*s**4 = 0.
-3, -1/4, 1
Let i = -1445 + 4339. Determine j, given that i*j**3 - 76*j**4 - 2870*j**3 - 6*j - 28*j**5 - 26*j + 112*j**2 = 0.
-2, 0, 2/7, 1
Determine a so that -390195*a**2 - 146*a**4 + 40137*a**3 + 177*a**5 + 1277640*a - 14962*a**3 - 459*a**4 - 1186380 - 172*a**5 = 0.
2, 39
Let v be ((-40)/112)/(75/(-180)). Let g = 977 - 6836/7. Factor g*n**4 + 3*n + v + 27/7*n**2 + 15/7*n**3.
3*(n + 1)**3*(n + 2)/7
Let v be (-9)/8 + 1 - (-1710)/(-144). Let a be (1 + 0)/((-1 + -2)/v). Let 3*h**4 + 2 + 15*h**3 + h**3 - 8*h**5 - h**4 - a*h**2 + h - 9*h = 0. What is h?
-1, 1/4, 1
Let g(l) be the first derivative of 1/15*l**5 + 2/9*l**3 + 0*l**2 - 1/4*l**4 + 0*l - 81. Suppose g(a) = 0. What is a?
0, 1, 2
Let t(s) be the third derivative 