33
Factor 65*l**2 - 5*l**4 - 1025 + 325*l + 30*l**2 - 25*l**3 + 364 - 89.
-5*(l - 3)*(l - 2)*(l + 5)**2
Factor -6867218/3 - 2/3*u**2 + 7412/3*u.
-2*(u - 1853)**2/3
Let j(a) be the first derivative of -a**6/1440 + 7*a**5/120 - 49*a**4/24 + 24*a**3 - 3. Let t(b) be the third derivative of j(b). Find u such that t(u) = 0.
14
Let k = 188728/141573 - -12/47191. Find o, given that -k*o**2 + 0 + 1/3*o = 0.
0, 1/4
Determine r so that 0 - 153/7*r - 1/7*r**2 = 0.
-153, 0
Let r(g) be the first derivative of g**6/5 - 6*g**5/5 + 8*g**3 - 48*g**2/5 + 812. Suppose r(x) = 0. Calculate x.
-2, 0, 1, 2, 4
Let i(c) be the third derivative of c**8/840 - 2*c**7/75 + 3*c**6/25 - 17*c**5/75 + 11*c**4/60 - 2*c**2 - 1272. Let i(n) = 0. What is n?
0, 1, 11
Let p(i) = -2*i**3 - 118*i**2 - 1496*i + 1592. Let r(v) = -2*v**3 - 118*v**2 - 1492*v + 1594. Let y(a) = 3*p(a) - 4*r(a). Let y(o) = 0. Calculate o.
-40, -20, 1
Let v = -80 - -105. Suppose 10*w - v = -5. Suppose 8*y - 4/3*y**w - 12 = 0. Calculate y.
3
Let a(s) be the second derivative of 9/50*s**5 - 1/75*s**6 + 0*s**2 - 59*s + 0 - 2/3*s**4 + 4/5*s**3. What is x in a(x) = 0?
0, 1, 2, 6
Let g = -131/28 - -107/21. Let r(c) be the third derivative of 1/30*c**5 + 2*c**3 - 17*c**2 + 0 + 0*c + g*c**4. Solve r(q) = 0.
-3, -2
Let d(i) be the first derivative of 138/13*i**2 - 32/13*i - 157 - 34/39*i**3. Let d(h) = 0. Calculate h.
2/17, 8
Factor 6785*g**3 - 1163 - 438 - 6529*g**3 + 485 + 5988*g - 8128*g**2.
4*(g - 31)*(8*g - 3)**2
Suppose -60 = -23*q + 9. Factor 92 - 33 - 12*v - 47 - 3*v**2 + 3*v**q.
3*(v - 2)*(v - 1)*(v + 2)
Let o(h) = h**2 - 16*h + 32. Let v be o(14). Let g(f) = f + 16. Let r be g(-11). Factor -136/9*a**v + 0*a - 8/9*a**3 + 0*a**2 - 578/9*a**r + 0.
-2*a**3*(17*a + 2)**2/9
Factor -2/3*q**3 - 6496/3*q + 226/3*q**2 + 6272/3.
-2*(q - 56)**2*(q - 1)/3
Factor -579/5*y**3 + 1/5*y**2 + 579/5*y + 0 - 1/5*y**4.
-y*(y - 1)*(y + 1)*(y + 579)/5
Factor -34/13*o - 20/13*o**2 - 16/13 - 2/13*o**3.
-2*(o + 1)**2*(o + 8)/13
Let c(n) be the third derivative of 13*n**2 + 0*n + 4/3*n**4 - 1/15*n**5 + 2 + 0*n**3. Factor c(o).
-4*o*(o - 8)
Suppose -3*v - 11*f = -9*f - 20, -5*v = -5*f + 50. Determine n so that 0 + v*n**2 + 1/4*n**5 + 1/4*n - 1/2*n**3 + 0*n**4 = 0.
-1, 0, 1
Let d(g) = 85*g**2 - 780*g - 2257. Let a(r) = 53*r**2 - 519*r - 1504. Let k(c) = -8*a(c) + 5*d(c). Factor k(b).
(b + 3)*(b + 249)
Suppose -3*q = -2*h + 1363, 0 = -3*h + 2*h - 5*q + 701. Let k be 24/156 + h/(-234) + 3. Let k*i**2 + 0 - 8/9*i = 0. Calculate i.
0, 4
Let a = -2082 - -2088. Let b(t) be the third derivative of 1/270*t**a + 1/54*t**5 + 0 + 0*t + 21*t**2 + 1/27*t**4 + 1/27*t**3. Let b(u) = 0. Calculate u.
-1, -1/2
Suppose 15*f - 28*f = -26. Factor -775*o - 56*o**f - 11*o**2 + 20*o**2 + 2*o**2 - 170.
-5*(o + 17)*(9*o + 2)
Let m = -1472 + 1474. Let v(p) be the third derivative of 1/105*p**7 - 1/30*p**5 + 0*p**3 - 1/336*p**8 + 0 + 8*p**m + 0*p**6 + 0*p + 1/24*p**4. Factor v(b).
-b*(b - 1)**3*(b + 1)
Let p(v) = 6*v**2 + 27*v - 43. Let o be p(15). Factor -h + 0*h**3 - 9*h - o + h**4 + 1712 + 4*h**3 - 7*h**2.
h*(h - 2)*(h + 1)*(h + 5)
Suppose 4*i - 18 = 5*i. Let z = i - -26. Factor z*k + 3*k**5 - 5*k - 6*k - 6*k**2 + 6*k**4.
3*k*(k - 1)*(k + 1)**3
Let s(t) be the third derivative of 0*t**4 + 0*t + 1/240*t**5 + 0 + 189*t**2 - 1/6*t**3. Factor s(w).
(w - 2)*(w + 2)/4
Factor 2/7*y**2 + 960/7 - 248/7*y.
2*(y - 120)*(y - 4)/7
Suppose -7*h**2 - 203 + 1/2*h**3 - 421/2*h = 0. What is h?
-14, -1, 29
Determine d so that 148 + 2/5*d**2 + 94/5*d = 0.
-37, -10
Factor -660*n - 425 - n**2 + 147 - 115 - 125*n + 3*n**2.
(n - 393)*(2*n + 1)
Let l be 132/(-22) - 8*-2. Factor l*b**2 - 14*b**3 + 15*b**3 + 6 - 5*b**2 + 11*b + b**2.
(b + 1)*(b + 2)*(b + 3)
Let x be (-4)/(-38) + (-343836)/(-608). Let t = x - 1119/2. Factor 1/8*b**2 + 7/4*b + t.
(b + 7)**2/8
Let b be 372/80 + (19740/48)/35 + -12. Let b*v**5 + 96/5*v**2 - 10*v + 28/5*v**3 - 84/5*v**4 - 12/5 = 0. Calculate v.
-1, -2/11, 1, 3
Let d be 3/(-3)*-7*2124/3717. Determine u, given that -7/6*u**2 + 1/6*u**d + 0 - u + 0*u**3 = 0.
-2, -1, 0, 3
Let t be ((-138)/(-4))/((-27)/(-36)). Suppose 14 + t = 3*j. Determine y so that -8 - j*y**3 - 18*y**2 - 159*y**4 - 216*y**3 + 5*y**4 + 56*y = 0.
-1, 2/11, 2/7
Let n = 19 + -25. Let q be (2/(-12))/(2/6)*n. What is k in -2*k - 64 - 3*k**3 + 0*k + 61 + q*k**2 + 5*k = 0?
-1, 1
Find c such that -960 - 644 + 192*c - 60*c**3 - 700 + 4*c**5 + 464*c**2 - 24*c**4 = 0.
-3, 4
Let j(z) = -26*z**3 - 1114*z**2 - 6496*z - 8501. Let q(o) = -2*o**3 - 86*o**2 - 500*o - 654. Let c(m) = 4*j(m) - 54*q(m). Let c(i) = 0. What is i?
-41, -4, -2
Suppose -3*r + 3*o = 12, -23*r + 2 = -27*r + 2*o. Suppose -4/21 - 2/7*q**r + 2/21*q**2 + 2/21*q**4 + 2/7*q = 0. Calculate q.
-1, 1, 2
Let l(f) be the third derivative of 1/120*f**6 + 0*f + 2/15*f**5 + 7/8*f**4 + 2*f**2 + 7 + 3*f**3. Suppose l(i) = 0. Calculate i.
-3, -2
Let g(r) be the first derivative of 0*r**2 + 6*r**3 - 5/8*r**6 - 33/10*r**5 - 121 + 0*r + 39/4*r**4. Determine w, given that g(w) = 0.
-6, -2/5, 0, 2
Factor -3*z**4 + 162*z - 16*z**4 + 14*z**3 - z**5 - 111*z**3 + 81930*z**2 - 81975*z**2.
-z*(z - 1)*(z + 2)*(z + 9)**2
Let v = -373917/5 + 74790. Let -v*l + 18/5 - 21/5*l**2 = 0. Calculate l.
-2, 3/7
Let m(x) be the third derivative of -x**7/525 - 7*x**6/300 - 17*x**5/150 - 17*x**4/60 - 2*x**3/5 + 86*x**2. Solve m(h) = 0 for h.
-3, -2, -1
Let p(b) be the second derivative of -5*b**7/84 - b**6/10 + 9*b**5/50 - b**4/15 - 106*b. Factor p(j).
-j**2*(j + 2)*(5*j - 2)**2/10
Let m be (-3 - (-1 + -3)) + 14. Suppose h - 1 - 2 = 2*o, -m = -5*h - 5*o. Factor -5*w**4 - 5*w**3 + 3*w**3 + 7*w**h.
-5*w**3*(w - 1)
Find j, given that -55/2*j**2 + 0 + 167/3*j - 1/6*j**3 = 0.
-167, 0, 2
Let u(y) be the second derivative of 4*y**7/189 + y**6/135 - 34*y**5/45 + 127*y**4/54 - 44*y**3/27 - 20*y**2/9 + 70*y. Find x such that u(x) = 0.
-5, -1/4, 1, 2
Factor 64167*w - 219*w**3 - 127017/4*w**2 - 3/8*w**4 - 257547/8.
-3*(w - 1)**2*(w + 293)**2/8
Let q be -13 + 32/(-72)*(-77 - -41). Determine v, given that -3/4*v - 19/8*v**2 + 5/8*v**4 - v**q + 0 = 0.
-1, -2/5, 0, 3
Let y(p) = 7*p - 208. Let f be y(30). Suppose 3*l - f*n + 4 = 0, -82*l - 13 = -86*l - n. Factor 12/11 - 2/11*r**l + 2/11*r.
-2*(r - 3)*(r + 2)/11
Factor 834*v**2 - 2906496/5 + 1444896/5*v + 3/5*v**3.
3*(v - 2)*(v + 696)**2/5
Suppose -2*c + 0*c = -3*o + 18, 0 = 5*c. Suppose -3*t - o*t**2 + 4*t**2 + 6*t**3 - t - 8*t**2 = 0. What is t?
-1/3, 0, 2
Let r(d) = -3*d**3 - 1699*d**2 - 179791*d + 181476. Let c(o) = o**3 + o**2 - 19*o. Let t(p) = c(p) - r(p). Factor t(y).
4*(y - 1)*(y + 213)**2
Let s(d) = 4*d**3 - d**2 - 3*d - 3. Let p(f) = -f**3 + f + 1. Let i be (-3 + 4)*8/(-8). Let v(o) = i*s(o) - 3*p(o). Determine h, given that v(h) = 0.
0, 1
Let y = 9 + -2. Suppose 4*t = -2*k - 0*k + 22, k = -t + y. Find i such that -90*i**4 - 145*i**3 + 0*i**t - 140 + 145*i**2 + 10*i**3 + 120 + 100*i = 0.
-2, -2/3, 1/6, 1
Let q be (-1)/(((-38)/456)/((-12)/(-30))). Solve -q - 32/5*g**2 - 52/5*g - 4/5*g**3 = 0 for g.
-6, -1
Let t(w) be the third derivative of w**5/160 - 81*w**4/16 + 6561*w**3/4 - 2945*w**2. Factor t(n).
3*(n - 162)**2/8
Let i(f) = 13*f**4 - 15*f**3 + 63*f**2 - 69*f + 16. Let c(w) = 8*w**4 - 10*w**3 + 42*w**2 - 46*w + 11. Let z(s) = -8*c(s) + 5*i(s). Factor z(n).
(n - 1)**3*(n + 8)
Let n(p) be the first derivative of 4*p**5/5 + 734*p**4 + 184412*p**3 + 2657080*p**2 + 13104400*p + 5352. Let n(s) = 0. Calculate s.
-362, -5
Factor -100*t**2 + 0*t**4 - t**4 - 731623*t**3 + 731598*t**3.
-t**2*(t + 5)*(t + 20)
Let i(r) be the third derivative of 0 + 46*r**2 + 1/224*r**8 + 0*r**3 - 3/70*r**7 + 0*r + 3/20*r**6 - 1/4*r**5 + 3/16*r**4. Solve i(c) = 0 for c.
0, 1, 3
Suppose -5*i - 5*g = -25, 5*i + 4*g = 3*g + 13. Solve 4*c**3 - 25*c + 19*c + 18*c + 4*c - 16*c**i = 0 for c.
0, 2
Suppose -21*x + 16*x + 475 = 0. Find a such that -3*a - 70*a**4 - 4*a + 7*a + 6*a + 4*a + 185*a**3 - x*a**2 = 0.
0, 1/7, 1/2, 2
Let u(l) = -l**2 + 179*l + 751. Let a be u(-4). Let z(o) be the second derivative of 1/28*o**4 + 2/7*o**3 + 6/7*o**2 + a*o + 0. Factor z(d).
3*(d + 2)**2/7
Let x be ((-32 - -30) + 0 + (-166)/(-8))*(-138)/(-9). Let -5/2*m**4 - 11115*m**2 - 137180 + x*m**3 + 148010*m = 0. What is m?
1, 38
Suppose -5*f + x - 9 = 13, -20 = 3*f - 4*x. Let r be (-10)/1*f