nd g, given that -1/3 - 7/3*g**t + l*g = 0.
1/7, 1
Factor 14/3 - 128/9*l + 2/9*l**4 - 16/3*l**3 + 44/3*l**2.
2*(l - 21)*(l - 1)**3/9
Let b = 5067 - 5065. Let h(z) = z + 42*z + 2 + 4*z**3 - 28*z**2 - z. Let q(v) = -4*v**3 + 28*v**2 - 43*v - 3. Let d(m) = b*q(m) + 3*h(m). Factor d(n).
4*n*(n - 5)*(n - 2)
Let p(z) be the second derivative of -z**6/105 + 1229*z**5/35 - 504299*z**4/14 + 3018424*z**3/21 - 1507984*z**2/7 - 337*z. Factor p(j).
-2*(j - 1228)**2*(j - 1)**2/7
Find k, given that -200/3 + 202/3*k - 2/3*k**2 = 0.
1, 100
Suppose 2*n - 30*h = -28*h + 30, 4*h = -2*n. Let 0*y**2 + 4*y**2 + n*y - 64*y + 243 - y**2 = 0. Calculate y.
9
Let r(i) = -5*i**2 + 212*i - 798. Let b(l) = 31*l**2 - 1273*l + 4791. Let k(z) = 2*b(z) + 13*r(z). Find x, given that k(x) = 0.
4, 66
Let d = 492819/35 + -98407/7. Solve -14/5*i**3 - d*i - 2/5*i**5 + 392/5 + 22/5*i**4 - 286/5*i**2 = 0 for i.
-2, 1, 7
Let h(z) be the third derivative of z**6/40 - 83*z**5/10 - 507*z**4/8 + 117*z**2 - 3*z - 1. Find i, given that h(i) = 0.
-3, 0, 169
Let b(r) be the second derivative of 17*r**4/36 - 154*r**3/9 + 6*r**2 - 19*r + 1. Factor b(f).
(f - 18)*(17*f - 2)/3
Let r(q) be the first derivative of -5*q**3/3 + 1325*q**2/2 + 1349. Factor r(t).
-5*t*(t - 265)
Suppose -52 = -24*a + 116. Let h(s) = 16*s**3 + 45*s**2 + 14*s. Let t(j) = 5*j**3 + 15*j**2 + 4*j. Let k(d) = a*t(d) - 2*h(d). Factor k(y).
3*y**2*(y + 5)
Let f = -978 - -945. Let j be -8 + f*6/(-18). What is i in 1/3*i**j - 2 + 13/3*i - 8/3*i**2 = 0?
1, 6
Suppose -6*o + 3*o = -36. Factor -13*t + 15*t**2 - o*t + 288 - 278.
5*(t - 1)*(3*t - 2)
Let s(y) be the third derivative of y**6/60 - 5*y**5/3 + 152*y**4/3 - 2176*y**3/3 + 42*y**2 - 19. Determine b so that s(b) = 0.
8, 34
Suppose -20*y + 22*y = 2. Let q(t) = t**3 - 1. Let h(s) = s**5 - 2*s**4 + 4*s**2 + s - 4. Let a(c) = y*h(c) - 2*q(c). Factor a(o).
(o - 2)*(o - 1)**2*(o + 1)**2
Let d be (10/(-2145))/((-8)/5388) - (-18)/(-78). Solve 0*y**2 + d - 32/11*y - 2/11*y**4 + 8/11*y**3 = 0 for y.
-2, 2
Let w(t) be the first derivative of t**5/20 + 17*t**4/8 - t**3/4 - 13*t**2 - 17*t + 1091. Factor w(f).
(f - 2)*(f + 1)**2*(f + 34)/4
Let t(u) = -2*u**2 + u**3 - 2 - 8*u - 2 + 2085*u**4 - 2086*u**4. Let x(v) = v**3 - 2*v - 1. Let w(m) = -t(m) + 4*x(m). Factor w(g).
g**2*(g + 1)*(g + 2)
Let t(w) be the third derivative of -w**6/30 + 97*w**5/15 - 233*w**4/3 + 368*w**3 + 16*w**2 + 133. Factor t(k).
-4*(k - 92)*(k - 3)*(k - 2)
Let d = 8 - 3. Suppose 41*j - 193 = 7*j - 23. Suppose 5/2 - 35/2*f**4 + 20*f**3 - j*f + 5*f**5 - d*f**2 = 0. What is f?
-1/2, 1
Let c(n) be the third derivative of -n**6/300 + 53*n**5/150 - 195*n**2 - 6*n. Solve c(h) = 0 for h.
0, 53
Suppose 3*g + q - 4*q - 24 = 0, 4*q = -20. Factor 8 - 3*o + 4*o + 7*o - 7*o**g + 14*o - 23*o**2.
-(o - 1)*(o + 4)*(7*o + 2)
Let l(q) be the first derivative of q**5/45 - 13*q**4/36 - 65*q**3/27 - 17*q**2/6 - 2005. Factor l(k).
k*(k - 17)*(k + 1)*(k + 3)/9
Let v(u) = u**3 + 2*u**2 - 33*u - 8. Let c be v(5). Let t(q) be the third derivative of -1/30*q**5 + 8*q**c + 0*q - 1/12*q**4 + 0 + 0*q**3. Factor t(a).
-2*a*(a + 1)
Let d(m) be the second derivative of m**8/5040 + m**7/2520 - m**6/540 - 2*m**3/3 + m + 37. Let z(l) be the second derivative of d(l). Factor z(u).
u**2*(u - 1)*(u + 2)/3
What is l in -35/6*l**2 + 1/6*l**3 - 98/3*l - 80/3 = 0?
-4, -1, 40
Let b(p) be the first derivative of p**3/6 - 26*p**2 - 216*p - 146. Factor b(q).
(q - 108)*(q + 4)/2
Let y(k) be the third derivative of k**5/120 + 55*k**4/48 - 59*k**3/3 + 1318*k**2 + 4*k. Factor y(h).
(h - 4)*(h + 59)/2
Let t(q) be the third derivative of -q**7/5460 - q**6/156 - 7*q**5/390 + 35*q**3/2 - 9*q**2 + 13*q. Let v(w) be the first derivative of t(w). Factor v(d).
-2*d*(d + 1)*(d + 14)/13
Factor 81918 + 3*p**3 + 9022*p + 172980 - 286*p**2 - 410*p**2 + 6450*p + 22727*p.
3*(p - 119)**2*(p + 6)
Let k(c) be the first derivative of 0*c - 1/4*c**3 + 73 - 9/8*c**2. Factor k(d).
-3*d*(d + 3)/4
Let d(b) be the third derivative of b**7/1680 - b**6/48 + b**5/5 + b**4/8 - b**3/6 + 31*b**2. Let x(k) be the second derivative of d(k). Factor x(i).
3*(i - 8)*(i - 2)/2
Find a, given that 13/2 - 145/4*a + 11/4*a**2 = 0.
2/11, 13
Let j(a) be the first derivative of -a**6/75 - 3*a**5/25 - a**4/6 - 38*a - 15. Let t(d) be the first derivative of j(d). Solve t(f) = 0.
-5, -1, 0
Let x(a) be the third derivative of a**5/180 - 41*a**4/72 - 10*a**3 + 358*a**2 - 4. Determine z, given that x(z) = 0.
-4, 45
Factor -15987/2 - 70/3*g**3 + 5110*g - 1/6*g**4 - 2231/3*g**2.
-(g - 3)**2*(g + 73)**2/6
Let j(z) = -24*z + 7 - z**3 + 25*z - 6 - 2. Let u(l) = 6*l**3 - 18*l**2 + 33*l - 21. Let f(g) = 3*j(g) + u(g). Factor f(b).
3*(b - 2)**3
Let s be 12/5 + 9 + (-235)/25. Let y(a) = -14*a + 32. Let j be y(s). Suppose i**2 + 0 + 0*i - 3/2*i**3 + 1/2*i**j = 0. What is i?
0, 1, 2
Let g = -67799 - -203398/3. Factor g*v**2 - 1/3 - 1/6*v**3 + 1/6*v.
-(v - 2)*(v - 1)*(v + 1)/6
Let c(d) = -40*d**2 - 1991*d + 452. Let p be c(-50). Determine r, given that -6 + 2/13*r**p + 20/13*r = 0.
-13, 3
Let z = 6 - 2. Let g(h) = -2*h**3 - 11*h**2 + 4*h - 8. Let i be g(-6). Solve -103*b**2 - 2*b**4 + 108*b**2 - i + b**z = 0.
-2, -1, 1, 2
Let w(h) be the first derivative of -14*h**6/3 - 2456*h**5/5 - 12081*h**4 + 243272*h**3/3 - 121624*h**2 + 50784*h - 349. Determine b, given that w(b) = 0.
-46, 2/7, 1, 3
Suppose 7*n + 230 = 2*n. Let z = 51 + n. Suppose -5*a**3 + 5*a**z - 5*a**3 + 8*a - 3*a = 0. Calculate a.
-1, 0, 1
Let y(b) be the second derivative of 0*b**2 + 0*b**6 + 2/9*b**3 + 1/126*b**7 - 1/12*b**5 + 0 + 69*b + 0*b**4. What is f in y(f) = 0?
-2, -1, 0, 1, 2
Suppose 428 = 2*f + 2*l, -2*f - 2*f + l = -861. Find n such that n**4 + 6*n**5 - 213*n**2 + 18 + f*n**2 - 5*n**3 - 2*n**4 - 18 = 0.
-1, 0, 1/2, 2/3
Let h = 38 - 25. Let -2*t**4 - 8*t + 62*t**3 - 3*t**2 - 72*t**3 - h*t**2 = 0. What is t?
-2, -1, 0
Let o(d) be the first derivative of -10*d**3 - 1/4*d**5 + 5 + 20*d**2 + 5/2*d**4 - 23*d. Let c(w) be the first derivative of o(w). Let c(q) = 0. Calculate q.
2
Suppose 432 + 5761*s**2 - 11527*s**2 + 5763*s**2 = 0. What is s?
-12, 12
Suppose 18 = -7*j + 10*j. Let p(z) = -z**2 + 4*z + 14. Let w be p(j). Factor -19*q**5 + 0*q**w - q - q**4 + 2*q**2 + 20*q**5 - q**4.
q*(q - 1)**3*(q + 1)
Let q(p) be the third derivative of -1/15*p**6 - 8*p + 0*p**3 + 4/3*p**4 - p**5 + 0 - p**2. Factor q(m).
-4*m*(m + 8)*(2*m - 1)
Let w(p) = 1708*p + 5127. Let l be w(-3). Let x be 25/30 + (-4)/(-6). Let -3 + 9*j**2 + 21/2*j**3 + l*j**4 - x*j = 0. What is j?
-2, -1, 1/2
Let l(n) = 2*n**3 + 2091*n**2 + 722454*n + 83563840. Let o(z) = 6*z**3 + 6276*z**2 + 2167362*z + 250691518. Let u(r) = -10*l(r) + 3*o(r). Factor u(c).
-2*(c + 347)**3
Let t be (-5*2/(-5) - (-1938)/(-1785))*25. Let -t*l + 404/7*l**3 - 100/7*l**5 + 48/7 - 12*l**2 + 180/7*l**4 = 0. What is l?
-1, 2/5, 3
Determine a, given that -8/15 - 254/15*a**4 + 24/5*a**5 + 76/5*a**3 + 2/3*a**2 - 16/5*a = 0.
-1/4, -2/9, 1, 2
Let k(i) be the third derivative of -15 + i**2 - 7/30*i**6 + 0*i + 8/3*i**4 + 0*i**3 + 14/15*i**5 - 2/21*i**7. Suppose k(b) = 0. Calculate b.
-2, -1, 0, 8/5
Let j(q) be the second derivative of q**9/7560 + q**8/280 - 5*q**4/6 - 57*q. Let o(l) be the third derivative of j(l). Solve o(n) = 0.
-12, 0
Let w(o) be the third derivative of -o**6/630 - 19*o**5/105 - 361*o**4/42 - 19*o**3 - o**2 + 92*o. Let u(v) be the first derivative of w(v). Factor u(a).
-4*(a + 19)**2/7
Let w be 35 + (-27 - 136/17). Factor -1/4*i**2 + 1/2*i**3 - 1/4*i**4 + 0 + w*i.
-i**2*(i - 1)**2/4
Let t be (14 - (10 - -4))/1. Let o(b) be the first derivative of 1/2*b**3 + 1/2*b**2 + 0*b + t*b**4 - 1/10*b**5 + 9. Factor o(y).
-y*(y - 2)*(y + 1)**2/2
Let t(u) = u**3 - 5*u**2 - 2. Let r(p) = -44*p**3 - 266*p**2 - 360*p - 98. Let a(s) = -r(s) - 5*t(s). Find k, given that a(k) = 0.
-6, -1, -6/13
Let q(g) = -g**3 - 8*g**2 + 10*g + 11. Let a be q(-9). Suppose 0 = -2*m + 6, a*h + m - 47 = -2*h. Factor 0*d**2 + 2*d - h*d**3 + 8*d**3 + 4*d**3 - 3*d**2.
d*(d - 2)*(d - 1)
Let f(l) be the first derivative of -2*l**3/3 + 123*l**2 - 1840*l - 11926. Factor f(v).
-2*(v - 115)*(v - 8)
Let z = 480 - 476. Let t(o) be the first derivative of 4/3*o**3 - 25 - 2*o**4 + z*o**2 - 4*o. Find w, given that t(w) = 0.
-1, 1/2, 1
Let k be ((-29)/8 + 4)/(90/(-1416)) 