)**2
Suppose -3*v = -b - 24, 0*v = -v + 3*b. Suppose v*l + 27 = 18*l. Factor 2*z**l - 14/5*z**2 + 0 + 4/5*z.
2*z*(z - 1)*(5*z - 2)/5
Let m be 4*7*(-1)/4. Let g(a) = 23*a**2 + 234*a + 1514. Let l(v) = -16*v**2 - 156*v - 1009. Let k(p) = m*l(p) - 5*g(p). Factor k(h).
-3*(h + 13)**2
Let w = -11750 - -11750. Solve 4/11*y**2 + 16/11*y - 2/11*y**3 + w = 0.
-2, 0, 4
Let 573*i**3 + 2928*i**2 - 2304*i + 36*i**4 - 12288 + 3/4*i**5 = 0. What is i?
-16, -2, 2
Let h = 11199 + -11199. Let d(x) be the third derivative of 5/96*x**4 - 28*x**2 + 1/60*x**5 + 1/480*x**6 + 1/12*x**3 + h + 0*x. Solve d(s) = 0 for s.
-2, -1
Let w(q) be the second derivative of q**6/180 - 11*q**5/360 - 19*q**4/144 - q**3/9 - 37*q**2 - 69*q. Let t(d) be the first derivative of w(d). Factor t(g).
(g - 4)*(g + 1)*(4*g + 1)/6
Let j(h) be the second derivative of 2*h - 1/66*h**4 - 16/11*h**2 + 8 + 8/33*h**3. Determine d so that j(d) = 0.
4
Factor 4/7*o**2 - 20/7 + 16/7*o.
4*(o - 1)*(o + 5)/7
Let i(f) = 11*f. Let q be i(5). Let w(g) = 11*g**2 + 186*g + 1620. Let r(m) = -100*m**2 - 1675*m - 14580. Let v(j) = q*w(j) + 6*r(j). Let v(y) = 0. Calculate y.
-18
Let h be 42/10 - (231 + -245 + 17*1). Factor -21/5 + h*m**2 - 39/5*m.
3*(m - 7)*(2*m + 1)/5
Let w(c) be the third derivative of 2*c**7/35 + c**6/8 - 3*c**5/20 - 5*c**4/8 - c**3/2 - 1573*c**2. Determine l so that w(l) = 0.
-1, -1/4, 1
Factor 2/13*c**5 + 0*c + 0 + 6/13*c**4 + 4/13*c**3 + 0*c**2.
2*c**3*(c + 1)*(c + 2)/13
Determine a so that -60/11*a**4 - 4/11*a**2 - 6/11*a + 182/11*a**3 + 0 = 0.
-1/6, 0, 1/5, 3
Let k = -170 - -202. Suppose -k*i + 37*i - 20 = 0. Factor 0*h + 1/3*h**i + 0 + h**2 + 4/3*h**3.
h**2*(h + 1)*(h + 3)/3
Let b(f) be the third derivative of -2*f**7/105 + 688*f**6/15 - 474718*f**5/15 + 157552*f**4 - 314646*f**3 - 353*f**2 - 2*f. Factor b(c).
-4*(c - 687)**2*(c - 1)**2
Let d be ((-257951)/(-3454) + -75)/(7/(-4)). Factor 2/11*c + 0*c**2 - 4/11*c**3 + d*c**5 + 0 + 0*c**4.
2*c*(c - 1)**2*(c + 1)**2/11
Let d(h) be the second derivative of h**4/12 + 520*h**3/3 + 135200*h**2 - 315*h - 3. Factor d(r).
(r + 520)**2
Let h(t) be the first derivative of -1/6*t**3 - 14*t - 1/8*t**4 - 12 - 1/8*t**2 - 1/20*t**5 - 1/120*t**6. Let q(r) be the first derivative of h(r). Factor q(j).
-(j + 1)**4/4
Let u(d) be the second derivative of d**6/165 + 14*d**5/55 + 26*d**4/33 - 860*d. Factor u(n).
2*n**2*(n + 2)*(n + 26)/11
Let w(y) be the second derivative of y**6/5 - 76*y**5/25 + 2*y**4/3 - 663*y - 3. Factor w(n).
2*n**2*(n - 10)*(15*n - 2)/5
Let v(f) = 29*f**2 + 151*f - 621. Let p(w) = 328*w**2 + 1662*w - 6830. Let m(u) = 6*p(u) - 68*v(u). Factor m(r).
-4*(r - 4)*(r + 78)
Let s be (-6 + (-40)/(-6))*6/3. Let t(x) be the first derivative of -4*x + s*x**3 - 11 - 1/2*x**2 + 1/4*x**4. Factor t(m).
(m - 1)*(m + 1)*(m + 4)
Let j be (-85)/(-17)*(-24)/(-285). Let u be (2 - -6)*(37/(-19) - -2). Solve 8/19*x**3 + 2/19*x**4 + 6/19*x**2 - u - j*x = 0.
-2, -1, 1
Let h(k) be the first derivative of k**4/8 + 5*k**3/4 - 21*k**2/2 + 53*k + 55. Let o(q) be the first derivative of h(q). Factor o(d).
3*(d - 2)*(d + 7)/2
Find m, given that -301/3 + 1/3*m**3 + 49/3*m**2 + 251/3*m = 0.
-43, -7, 1
Factor -98/17*f - 46/17*f**2 - 50/17 + 2/17*f**3.
2*(f - 25)*(f + 1)**2/17
Let w be (-6)/(-10) + (-110)/(-25). Suppose -21 + w*r**2 + 32 - 36 - 20*r = 0. What is r?
-1, 5
Factor z**5 + 486*z**2 - 6421*z**4 + 558*z**3 + 2*z**5 - 6440*z**4 - 6561 + 12936*z**4 - 6561*z.
3*(z - 3)*(z + 1)*(z + 9)**3
Let u = -324622/3 - -108208. Determine q, given that 0*q**2 - u*q**4 + 0 - 1/3*q**5 + 0*q - 1/3*q**3 = 0.
-1, 0
Let a(t) = 15*t**4 + 702*t**3 - 597*t**2 - 24*t. Let v(j) = 3*j**4 + 141*j**3 - 119*j**2 - 5*j. Let q(z) = -5*a(z) + 24*v(z). Find m, given that q(m) = 0.
-43, 0, 1
Let z = -666100 + 666100. Factor 44/5*l**2 + 4/5*l**4 + z - 63/5*l**3 + 3*l.
l*(l - 15)*(l - 1)*(4*l + 1)/5
Let t(y) = -3*y - 22. Let c be t(-9). Let b be (4/c)/(12/30). Factor -8*n**2 - 7 - 4*n**b + 2*n**3 + 1 + n**3 + 15*n.
3*(n - 2)*(n - 1)**2
Let x be (-63 + 68)*(1 - 12/20). Factor -1/5*s + 6/5*s**x + 1/5*s**3 - 6/5.
(s - 1)*(s + 1)*(s + 6)/5
Let p be (-3)/(-4) + 6/(-24). Let w = 4650 - 9299/2. Factor 0 - w*n**2 - p*n**3 + 1/2*n + 1/2*n**4.
n*(n - 1)**2*(n + 1)/2
Let n(f) be the first derivative of -f**6/12 - 11*f**5/10 - 19*f**4/4 - 26*f**3/3 - 6*f**2 - 14585. What is p in n(p) = 0?
-6, -2, -1, 0
Let v(m) be the first derivative of 3*m**4/4 + 7164*m**3 + 25661448*m**2 + 40853025216*m + 5468. Let v(s) = 0. What is s?
-2388
Factor -4/3*s**4 - 8/3*s - 2/3*s**5 + 2*s**3 + 0 + 8/3*s**2.
-2*s*(s - 1)**2*(s + 2)**2/3
Suppose -376*r = -291*r - 255. Let u(d) be the first derivative of 0*d - 1/28*d**4 - 2/21*d**r - 1/14*d**2 + 8. Factor u(f).
-f*(f + 1)**2/7
Let b(k) = k + 3. Let y be b(0). Let g(f) be the first derivative of -6*f**y + 5*f**3 - 3*f - f**2 - 2*f**2 - 9. Factor g(v).
-3*(v + 1)**2
Suppose 504 - 119 = 5*a. Factor 3*b**2 - 2*b**2 + 7*b**2 + 40*b - a*b + 33*b.
4*b*(2*b - 1)
Let h(u) = 58*u**4 - 61*u**3 + 85*u**2 - 54*u - 7. Let a(p) = -17*p**4 + 20*p**3 - 29*p**2 + 18*p + 2. Let m(v) = 7*a(v) + 2*h(v). Factor m(k).
-3*k*(k - 3)*(k - 2)*(k - 1)
Let b(p) be the first derivative of p**6/24 + p**5/3 + p**2 - 2*p + 71. Let w(r) be the second derivative of b(r). Factor w(a).
5*a**2*(a + 4)
Let c = -12016 + 12022. Let z(r) be the third derivative of 0 + 5/44*r**4 - 3/110*r**5 + 25/33*r**3 + 0*r + 1/660*r**c - 14*r**2. Suppose z(u) = 0. Calculate u.
-1, 5
Let m(k) = 35*k - 32. Let q be m(2). Let v be q/9 + (-4)/18 - 2. Solve 2/5*x**v + 32/5 - 16/5*x = 0.
4
Solve -2*r**5 - 5 + 320*r**2 + 191 + 330*r + 106*r**2 - 62*r**4 - 38*r**2 + 12*r**3 + 172*r = 0.
-31, -1, 3
Factor 5419584/5 + 4656/5*r + 1/5*r**2.
(r + 2328)**2/5
Let v(a) = -a**3 + 5*a**2 - 5. Let j be v(4). Let n = j - 8. Factor -3*d**3 - 2*d**3 + 5*d**2 - 2*d**3 + 2*d**n.
-5*d**2*(d - 1)
Let b be (-24 + (-1430)/(-60))/(6/(-18)). Factor -1/3*g + b - 1/6*g**2.
-(g - 1)*(g + 3)/6
Let s(n) be the first derivative of -n**5/20 - 5*n**4/16 + n**3/3 + 5*n**2/2 - 635. Factor s(i).
-i*(i - 2)*(i + 2)*(i + 5)/4
Let k(f) be the third derivative of -187*f**2 + 0*f**4 - 16/45*f**5 + 0*f - 1/5*f**6 - 4/105*f**7 - 1/504*f**8 + 0*f**3 + 0. Let k(u) = 0. Calculate u.
-8, -2, 0
Let -1692582*y**2 - 3241*y**3 + 2064*y**3 + 0*y**4 - 9*y**4 - 4213*y**3 - 2804544*y - 1119744 - 2401*y**3 = 0. Calculate y.
-432, -1, -2/3
Let l(r) = 5*r**3 - 20*r**2 - 21*r + 270. Let s(q) = 11*q**3 - 41*q**2 - 43*q + 552. Let c(n) = -13*l(n) + 6*s(n). Factor c(f).
(f - 3)*(f + 6)*(f + 11)
Let u = -7485 - -14987/2. Let i(m) be the second derivative of -3/4*m**4 + 0 - 15*m**2 - 24*m - u*m**3. Factor i(r).
-3*(r + 5)*(3*r + 2)
Let a be (2 - 2)*5/(-15). Let u**3 + 11*u**2 - 4*u**4 + a*u**3 + 4*u**5 - 13*u**3 - 8*u + 9*u**2 = 0. Calculate u.
-2, 0, 1
Suppose 0 = -2749*f + 30*f - 718*f. Find h such that 8/15*h + f - 2/15*h**2 = 0.
0, 4
Let u be -6*2*((-19343)/230 - -83). Factor -u*h**2 - 144/5*h - 8/5*h**3 - 32/5.
-2*(h + 4)**2*(4*h + 1)/5
Let k(t) be the third derivative of -t**11/86240 - t**10/176400 - 3*t**5/4 - t**3/6 - 43*t**2 - 2. Let z(s) be the third derivative of k(s). Factor z(g).
-3*g**4*(9*g + 2)/7
Suppose 8 = -v - 3*c + 4*c, 0 = 5*v + 3*c. Let k be 4/(-4) + (v/(-1) - -2). Factor 4/3*f**3 + 2*f**2 + 1/3*f**k + 1/3 + 4/3*f.
(f + 1)**4/3
Let 752/3*u + 248 - 2*u**3 - 550/3*u**2 = 0. What is u?
-93, -2/3, 2
Let l(p) = -p**2 + 10*p - 4. Let y be l(9). Let j be -7*((-12)/15 + (-1)/y). Let 17*m**2 + 8*m - j*m**2 - 6*m**2 = 0. What is m?
-2, 0
Let d(y) be the third derivative of 0*y**5 + 0 - 17*y**2 - 5/3*y**3 - 1/720*y**6 + 1/48*y**4 + 0*y. Let x(u) be the first derivative of d(u). Factor x(s).
-(s - 1)*(s + 1)/2
Find q such that 598/9 + 1/9*q**2 - 301/9*q = 0.
2, 299
Factor 1188*i + 4*i**2 + 528 - 5122*i + 1635*i + 1171*i + 1660*i.
4*(i + 1)*(i + 132)
Let x = 56346 - 281729/5. Factor 2/5*u**2 + 12/5*u**3 + 14/5*u**4 - x*u + u**5 + 0.
u*(u + 1)**3*(5*u - 1)/5
Suppose -49*h = -14385 - 1393. Let x = 2256/7 - h. Solve 2/7*u**3 - 4/7*u**2 + 0 + x*u = 0.
0, 1
Let b(w) be the third derivative of 13/132*w**4 - 32*w**2 + 0*w + 1/66*w**5 - 1/660*w**6 + 0 + 7/33*w**3. Solve b(j) = 0.
-1, 7
Suppose 0 = -6*w - 18*w + 72. Factor 6*v**2 - 5*v**3 + 12*v**2 - 4*v**3 + 12*v**w + 27*v.
3*v*(v + 3)**2
Let k(o) be th