k**2.
4*k**2*(k - 2)**2*(5*k + 1)
Let l(z) = 87*z**2 + 91998*z - 41862567. Let w(g) = 5*g**2 + 5412*g - 2462504. Let o(u) = 4*l(u) - 69*w(u). Factor o(y).
3*(y - 906)**2
Let m(b) be the first derivative of b**4/20 - 34*b**3/5 + 270*b**2 - 1000*b + 1201. Let m(z) = 0. What is z?
2, 50
Let y = 111409 - 1002677/9. Factor 40/9*w - 16/3 - y*w**2 - 2/9*w**3.
-2*(w - 2)**2*(w + 6)/9
Suppose 0 = -5*h + 5*g + 10, -3*h = -h - g - 6. Find s, given that 2*s + 108*s**3 + 3*s**2 - 4*s**h + 2 - 11*s**2 + 2*s**2 - 118*s**3 = 0.
-1, 1/2
Let n(y) = 38*y - 172. Let l be n(5). Let k be l/(-4)*((-300)/63 + 4). Suppose 0 + 4/7*a**4 + 36/7*a**2 + k*a**3 + 16/7*a = 0. Calculate a.
-4, -1, 0
Let i(j) be the third derivative of j**6/280 + 33*j**5/140 - j**4/56 - 33*j**3/14 + 2*j**2 - 46. Solve i(v) = 0 for v.
-33, -1, 1
Let y be ((-24 + (27 - 3))/(-2 - 3))/(1 - -1). Factor y + 0*a**3 + 1/3*a**4 - 4/3*a**2 + 0*a.
a**2*(a - 2)*(a + 2)/3
Let x(b) = b**3 + 102*b**2 + 1754*b - 480. Let g be x(-80). Factor g + 1/5*h**5 - 6/5*h**3 - 4/5*h**2 + 1/5*h**4 + 8/5*h.
h*(h - 2)*(h - 1)*(h + 2)**2/5
Let n(h) be the second derivative of 2*h**7/21 + 9*h**6/10 - 23*h**5/4 + 143*h**4/12 - 23*h**3/2 + 5*h**2 - 716*h. Let n(o) = 0. What is o?
-10, 1/4, 1
Suppose -2*h + 13 - 40 = -r, 120 = 4*r + 4*h. Let m(g) = 66*g + 74. Let w be m(-1). Let r + 4*v**2 + v**2 + v**3 + w*v - 25 = 0. Calculate v.
-2, -1
Let y = 1145 - 1081. Suppose -69*k = -y*k - 10. Let l + 0 + 1/4*l**k = 0. Calculate l.
-4, 0
Let p = -590 + 592. Let s be p/(-12) + 380/120. Factor -4/3*o**s + 4*o**2 - 4 + 4/3*o.
-4*(o - 3)*(o - 1)*(o + 1)/3
Let r be 5/(180/76) + (48/54)/(-2). Let p(i) be the second derivative of 15*i + 0*i**2 - r*i**3 + 0 + 1/6*i**4. Find k, given that p(k) = 0.
0, 5
Let p(w) be the second derivative of w**7/840 + 7*w**6/120 + w**5 + 25*w**4/6 - 8*w**3 - w**2 + 63*w. Let o(d) be the second derivative of p(d). Factor o(s).
(s + 1)*(s + 10)**2
Let v = -149742 + 149742. Factor -12/7*p + 13/7*p**2 + v - 1/7*p**3.
-p*(p - 12)*(p - 1)/7
Let r be (17 + 1)*100/60. Let w(m) be the first derivative of 8*m + 25/2*m**4 + 24*m**2 - 24 + r*m**3. Factor w(c).
2*(c + 1)*(5*c + 2)**2
Let q be 2 + 2 + 937/34 + (-193)/3281. Factor 3/2*m**2 - q*m - 33.
3*(m - 22)*(m + 1)/2
Let u = 10629570 + -20897735599/1966. Let v = 2/983 - u. Determine s so that -s + v*s**2 + 1/2 = 0.
1
Let a(i) be the third derivative of i**6/840 - 17*i**5/210 - 109*i**4/168 - 37*i**3/21 - 12*i**2 + 26. Factor a(v).
(v - 37)*(v + 1)*(v + 2)/7
Factor -17 + 10*y**2 + 14*y**2 - 9*y**4 - 21*y + 37 - 18 + 3*y**2 + y**3.
-(y - 1)**2*(y + 2)*(9*y - 1)
Factor -441 + 271 - 33*h - 12*h**2 + 206 + 18*h**2.
3*(h - 4)*(2*h - 3)
Let o(b) = -68*b**2 - b + 2. Let m be o(0). Factor 0 - 2/5*i**4 + 0*i - 4*i**m - 14/5*i**3.
-2*i**2*(i + 2)*(i + 5)/5
Let d(r) = -r**4 + r**3 - 3. Let q(k) = -6*k**4 + 8*k**3 + 56*k**2 - 208*k + 180. Let n(x) = -4*d(x) + q(x). Factor n(f).
-2*(f - 4)*(f - 2)**2*(f + 6)
Let k be (2 - (-55)/(-27))*(-339 - -37). Let d = k + 4/27. Solve -4 - 16*l**3 - 32/3*l**4 + 44/3*l**2 + d*l + 14/3*l**5 = 0 for l.
-1, 2/7, 1, 3
Let y = -330689/5 + 66138. Let -1/5*t**4 + 36/5*t - 17/5*t**3 + 21/5*t**2 + y*t**5 + 0 = 0. What is t?
-4, -1, 0, 3
Factor -23/2*k**3 + 0 - 25*k**2 + 1/2*k**4 + 0*k.
k**2*(k - 25)*(k + 2)/2
Let d(z) be the first derivative of z**6/1260 - 13*z**5/35 + 507*z**4/7 - 2*z**3 + 15*z + 62. Let r(l) be the third derivative of d(l). Factor r(i).
2*(i - 78)**2/7
Let n(j) be the third derivative of 0 - 1/50*j**5 - 1/350*j**7 + 18*j**2 + 0*j**4 - 11/600*j**6 + 0*j + 0*j**3. Factor n(o).
-o**2*(o + 3)*(3*o + 2)/5
Let r be (-54)/(-44)*(-30)/(-90)*(-16)/(-3). Suppose 2/11*m**3 - 60/11*m**4 + 18/11*m**5 + 56/11*m**2 - r*m + 0 = 0. What is m?
-1, 0, 2/3, 3
Let g(k) be the third derivative of -k**7/3780 - k**6/405 - k**5/180 - 67*k**3/6 - 2*k**2 - 16. Let q(d) be the first derivative of g(d). Factor q(w).
-2*w*(w + 1)*(w + 3)/9
Suppose y + 46 = -2*y - 5*u, -2*u = 2*y + 24. Let x be 2/16*(y + 7). Factor -1/5*d**2 - 1/5*d + x.
-d*(d + 1)/5
Let a(o) be the first derivative of -o**4/15 - 4*o**3/5 + 32*o**2/5 + 180*o - 83. Let v(q) be the first derivative of a(q). Find b, given that v(b) = 0.
-8, 2
Let g(v) be the third derivative of v**8/504 + 143*v**7/315 + 5183*v**6/180 + 5041*v**5/90 + 19*v**2 + 86*v. Factor g(c).
2*c**2*(c + 1)*(c + 71)**2/3
Find j such that 1/2*j - 1/2*j**3 - 10 + 10*j**2 = 0.
-1, 1, 20
Let s(n) = 51*n**2 + 106*n + 23. Let r(y) = 47*y**2 + 107*y + 21. Let x(d) = 4*r(d) - 3*s(d). Factor x(m).
5*(m + 3)*(7*m + 1)
Let d(y) be the third derivative of y**8/3360 - y**7/840 - y**6/720 + y**5/120 - 8*y**3 - y**2 + 26*y. Let l(u) be the first derivative of d(u). Factor l(m).
m*(m - 2)*(m - 1)*(m + 1)/2
Let a(w) be the third derivative of w**6/1140 + 8*w**5/285 - 53*w**4/57 - 160*w**3/19 + w**2 - 559*w. Factor a(u).
2*(u - 10)*(u + 2)*(u + 24)/19
Let l(n) = n**4 - n**2 - n + 4. Let x(h) = 11*h**4 + 110*h**3 - 261*h**2 - 366*h + 24. Let d(c) = 6*l(c) - x(c). Factor d(t).
-5*t*(t - 3)*(t + 1)*(t + 24)
Let u(h) = -326*h**2 - 235*h - 43. Let x(c) = 218*c**2 + 157*c + 29. Let l = -99 - -92. Let o(q) = l*x(q) - 5*u(q). Factor o(f).
4*(2*f + 1)*(13*f + 3)
Factor -792 - 1167*t + 405*t + 303*t + 345*t + 3*t**2.
3*(t - 44)*(t + 6)
Let j be ((-66)/1452)/(14/(-4081)) - (-5)/(-4). Factor 2/3*q**3 - j*q**2 - 256/3 + 64*q.
2*(q - 8)**2*(q - 2)/3
Suppose -6*a = -2*a - 32. Suppose -a*s - 17*s = -75. Solve 4/5*t**s - 4/5*t - 4/5 + 4/5*t**2 = 0.
-1, 1
Let n(r) be the first derivative of -r**3/4 + 663*r**2/8 - 165*r - 1347. Find a such that n(a) = 0.
1, 220
Let m(u) be the second derivative of 1/180*u**6 + 79*u + 0 - 3*u**3 + 3/4*u**4 - 1/10*u**5 + 27/4*u**2. Factor m(d).
(d - 3)**4/6
Let s be 100/11 + (-3 - 192/(-66)). Let 40 - 28*p**2 + 11*p**2 + s*p**2 + 4*p**2 - 36*p = 0. What is p?
-10, 1
Let x(h) = 8 - 29 + 17*h**2 + 50 - 14*h. Let b(d) = -5*d**2 + 5*d - 10. Let k(f) = 21*b(f) + 6*x(f). What is r in k(r) = 0?
3, 4
Let s(r) be the second derivative of -5/2*r**2 - 1/12*r**5 + 0 + 10/3*r**4 - 5*r - 1/6*r**6 + 10/3*r**3. Let o(y) be the first derivative of s(y). Factor o(p).
-5*(p - 2)*(p + 2)*(4*p + 1)
Let o be 1 + ((-3)/(-2) - (-9)/((-18)/5)). Suppose o - 1/2*a**2 - 21/2*a = 0. What is a?
-21, 0
Let c be (-1 + 2*-5)*(-47 - -44). Let z be 0*(c/(-15) + 2). Factor z*d - 1/8*d**2 + 1/4*d**3 + 0.
d**2*(2*d - 1)/8
Let v(m) be the first derivative of -m**5/40 - 9*m**4/16 - 5*m**3/8 + 17*m**2/8 + 300. Factor v(c).
-c*(c - 1)*(c + 2)*(c + 17)/8
Suppose -2*w - t = -6 + 1, -5*w - t = -5. Let q be (w + 2/(-4))/((-2)/8). Let -2/3 + 1/3*u**q - 1/3*u = 0. Calculate u.
-1, 2
Let v(y) be the second derivative of 0 + 10*y**2 + 98*y + 5/2*y**3 + 5/24*y**4. Determine q so that v(q) = 0.
-4, -2
Let y(l) = 3*l**3 + 2*l**2 + 2*l - 3. Suppose 9*c - 12 - 6 = 0. Let q(n) = 47*n**3 + n + 2 + 2*n**c - 44*n**3 - 4. Let r(i) = 6*q(i) - 4*y(i). Factor r(m).
2*m*(m + 1)*(3*m - 1)
Let o(a) = -a**3 + 9*a**2 - 3*a + 32. Let b be o(9). Let -8*c + 58*c - 26*c**2 - 21*c**2 + b*c**3 + 12*c**2 = 0. Calculate c.
0, 2, 5
Let n(y) be the first derivative of 2*y**3/9 - 802*y**2/3 - 3691. Suppose n(v) = 0. Calculate v.
0, 802
Let z(u) = -6*u**4 + 39*u**3 - 299*u**2 + 251*u - 5. Let h(y) = -4*y**4 + 19*y**3 - 149*y**2 + 125*y - 3. Let l(f) = 5*h(f) - 3*z(f). Factor l(n).
-2*n*(n - 4)*(n - 1)*(n + 16)
Let q(u) = 97*u + 99. Let k be q(-1). Let n be (-5)/(-18)*(172/20 + -8). Factor 0 - n*a - 1/6*a**k.
-a*(a + 1)/6
Let z be ((-32)/7 + 4)*(93/(-9) - -8). Factor 8/3*b + 0 + z*b**3 + 4*b**2.
4*b*(b + 1)*(b + 2)/3
Let s(w) = -10*w**3 + 159*w**2 + 361*w - 1386. Let f(r) = -42*r**3 + 676*r**2 + 1534*r - 5892. Let d(b) = -18*f(b) + 76*s(b). Determine t so that d(t) = 0.
-18, -5, 2
Factor 146/3*r - 1120/3 + 2/3*r**2.
2*(r - 7)*(r + 80)/3
Let r = 211 - 208. Suppose -x - 7 = -3*k, 2*k - 6 = r*x + 1. Factor 1/5*a - 1/5*a**3 - 3/5 + 3/5*a**k.
-(a - 3)*(a - 1)*(a + 1)/5
Let h = 18 - 22. Let z(g) = -2*g**2 + 16*g + 54. Let r(j) = 3*j**2 - 15*j - 55. Let f(d) = h*r(d) - 5*z(d). Factor f(y).
-2*(y + 5)**2
Let m(a) = -2*a + 1. Let n be m(-1). Let x(z) = -9*z - 20. Let h be x(-3). Suppose 3*g**n - 3*g**4 + 7*g**5 + 0*g**2 - 3*g**5 - h*g**5 + 3*g**2 = 0. What is g?
-1, 0, 1
Let v = -659 - -649. Let g be (714/45)/14 - (-8)/v. Fa