3361/2*u**2 = 0?
-60, 1
Let r(o) be the first derivative of -28*o**5/5 + 9*o**4 + 44*o**3 + 22*o**2 - 24*o - 1705. What is d in r(d) = 0?
-1, 2/7, 3
Suppose -50 = 578*d - 50. Factor d - 3/2*f**2 + 15*f.
-3*f*(f - 10)/2
Suppose 84397*y - 48 = 84390*y - 13. Factor -4/3*m + 0 + 4/3*m**2 - 2/3*m**4 + m**3 - 1/3*m**y.
-m*(m - 1)**2*(m + 2)**2/3
Let f(v) = -50*v**4 + 2050*v**3 - 817*v**2 + 92*v + 15. Let i(y) = -25*y**4 + 1023*y**3 - 408*y**2 + 47*y + 9. Let x(j) = -3*f(j) + 5*i(j). Factor x(m).
m*(m - 41)*(5*m - 1)**2
Suppose -4*l - 5*x = 4, 5*x + 4 = -6*l + 8. Solve -13/3*c**2 - 13/6*c**5 + 1/3 + 2/3*c**3 + l*c**4 + 3/2*c = 0 for c.
-1, -2/13, 1
Let b(x) be the third derivative of x**7/1890 + 23*x**6/120 + 848*x**5/45 - 14045*x**4/54 - 7496*x**2. Let b(z) = 0. Calculate z.
-106, 0, 5
Let y(x) = 10*x + 0 - 21 + 3*x. Let l be y(6). Factor 25*u - l*u + 8 + 28*u - 4*u**2.
-4*(u - 1)*(u + 2)
Factor 39 - 1/4*n**2 + 19*n.
-(n - 78)*(n + 2)/4
Suppose -3*f - 76 = -202. Let s be (28/f)/(1/6). Determine d so that -64*d**2 - 39*d + 687*d**3 + 18 - 182*d**2 - 482*d**s + 62*d**4 = 0.
-1/4, 2/7, 3/5, 1
Let x(t) be the third derivative of 1/270*t**5 + 0*t + 0 + 1/54*t**4 - 1/945*t**7 + 0*t**3 + 2*t**2 - 1/270*t**6. Factor x(w).
-2*w*(w - 1)*(w + 1)*(w + 2)/9
Let n(b) = b**3 - 7*b**2 - 8*b + 4. Let y be n(8). Factor -g**4 + 2*g**y + 3*g - 4*g + 4*g**3 - 4*g**2 + 7*g - 7*g**2.
g*(g - 1)**2*(g + 6)
Suppose -4/3*i**3 + 5/3*i + 7/3*i**2 - 2 = 0. What is i?
-1, 3/4, 2
Let n be ((-3)/3 - 1)*1*-16. Factor 31*h**3 + 24*h**2 - 24*h - 9*h**3 + n*h + 6*h**4.
2*h*(h + 1)*(h + 2)*(3*h + 2)
Let v(z) = -5*z**2 + 34*z. Let o(h) = -h. Suppose 24 = -24*y + 120. Let l(i) = y*o(i) + v(i). Factor l(n).
-5*n*(n - 6)
Suppose -5*u + 20 = -t, -4*t + 15 = -6*t + 5*u. Suppose -3*m - 5 = -4*f, -f - t = -3*m + f. Factor -1 + m*g**2 + 6*g + 1 - 8*g**2 - 3*g**3.
-3*g*(g - 1)*(g + 2)
Factor 0 - 32/5*d**2 + 6/5*d + 32/5*d**3.
2*d*(4*d - 3)*(4*d - 1)/5
Factor 0 - 11/4*f**2 + 1/4*f**3 - 21/2*f.
f*(f - 14)*(f + 3)/4
Suppose 32*o = -186*o + 397 + 39. Factor 17/3*s + 6 - 1/3*s**o.
-(s - 18)*(s + 1)/3
Let v = -893 - -898. Suppose -d = -v*l - 0*l + 46, -4*l = d - 44. Factor -250/3 - l*z**2 + 50*z + 2/3*z**3.
2*(z - 5)**3/3
Let f(i) be the first derivative of 0*i - 22/9*i**3 + 1/9*i**6 - 1/2*i**4 + 2/5*i**5 + 37 - 2*i**2. Determine k so that f(k) = 0.
-3, -1, 0, 2
Let o = 63 + -67. Let f(y) = -16*y**3 + 13*y**2 - 4*y - 21. Let r(i) = -20*i**3 + 12*i**2 - 4*i - 20. Let a(u) = o*f(u) + 3*r(u). Factor a(b).
4*(b - 3)*(b - 2)*(b + 1)
Determine d so that -45 - 47*d**2 - 501*d + 86 + 21*d**3 + 2*d**4 - 35 - 438 - 3*d**4 = 0.
-3, -1, 9, 16
Let a = -1749 + 2408. Suppose 2*u - a = -653. Determine x, given that -1/9 + 4/9*x + 1/3*x**4 - 4/9*x**u - 2/9*x**2 = 0.
-1, 1/3, 1
Let o(n) be the third derivative of 7*n**6/600 + 79*n**5/20 - 4787*n**4/60 - 472*n**3/5 - 6146*n**2. Factor o(l).
(l - 8)*(l + 177)*(7*l + 2)/5
Let w(f) be the first derivative of 2*f**3/27 + 1090*f**2/9 + 594050*f/9 - 1499. Factor w(y).
2*(y + 545)**2/9
Let z = -73544 + 73554. Factor z*q + 1/4*q**2 + 100.
(q + 20)**2/4
Find m, given that 14/17*m**2 - 18/17 - 18/17*m + 10/17*m**3 - 4/17*m**4 = 0.
-1, 3/2, 3
Let u(d) = -54*d**3 + 931*d**2 - 1394*d - 129. Let c(g) = -41*g**3 + 698*g**2 - 1046*g - 97. Let o(i) = -15*c(i) + 11*u(i). Solve o(x) = 0.
-2/21, 2, 9
Let k be (-16)/(-60) - (424/70 + -6)*-7. Factor 0 - k*w**2 + 0*w + w**3 - 1/3*w**4.
-w**2*(w - 2)*(w - 1)/3
Let n = -561 - -586. Factor -68*l**2 + 4*l**4 + 5*l**3 + n*l**3 + 0*l**3 - 2*l**3 + 36*l.
4*l*(l - 1)**2*(l + 9)
Let u(w) be the second derivative of -3*w**5/40 + 767*w**4/24 - 509*w**3/12 - 255*w**2/4 - 2823*w + 1. Suppose u(s) = 0. What is s?
-1/3, 1, 255
Let h(d) be the third derivative of -d**7/420 + d**6/60 + 4*d**5/15 - 993*d**2. Factor h(z).
-z**2*(z - 8)*(z + 4)/2
Factor -528/5 + 3/5*c**3 + 72/5*c**2 + 108/5*c.
3*(c - 2)*(c + 4)*(c + 22)/5
Suppose -75*v**3 + 3*v**4 - 5 - 201*v + 436*v**2 + 45 + 26 - 229*v**2 = 0. What is v?
1, 22
What is l in -79*l - 10*l**3 + 2*l - 1200*l**2 + 6*l + 24 + 1263*l**2 - 6*l = 0?
1/2, 1, 24/5
Let b(q) be the first derivative of q**3/3 + 2*q**2 - 7*q - 28. Let i be b(-6). Factor 3*m**i - 6*m**5 + 109*m**4 + 5*m - 2*m**5 - 10*m**2 - 99*m**4.
-5*m*(m - 1)**3*(m + 1)
Factor 18/11*d - 14/11*d**3 + 0 + 36/11*d**2.
-2*d*(d - 3)*(7*d + 3)/11
Let w(r) be the first derivative of -r**3/9 - 73*r**2/6 - 2472. Find s, given that w(s) = 0.
-73, 0
Suppose -28*g + 18 = -15*g + 18. Let u(x) be the second derivative of -2/5*x**4 - 2/5*x**3 + 0 + g*x**2 - 1/50*x**6 - x - 3/20*x**5. Factor u(m).
-3*m*(m + 1)*(m + 2)**2/5
Let f be ((-2 - 0) + (-3)/(-1))/((-148)/(-296)). Let 3/4*m**3 + 0 + 0*m**4 + 1/2*m**f - 1/4*m**5 + 0*m = 0. What is m?
-1, 0, 2
Let t = -1008 - -998. Let b be 98/20 + (-1)/t. Suppose -12/7 - 46/7*i - 68/7*i**2 - 48/7*i**3 - 16/7*i**4 - 2/7*i**b = 0. Calculate i.
-3, -2, -1
Let r be (-4 + 7 - 4)*-3. Factor 20*n**r - 56*n**2 - 22*n**2 + n**3 - 9*n - 15*n.
3*n*(n - 4)*(7*n + 2)
Suppose 3*b = -0*b - 12. Let p be -6*((-4)/(-12) + b/6). Factor 5*i**2 - 7*i**2 + 5*i + 2*i**p - i**2.
-i*(i - 5)
Let b(w) = -7*w - 13. Let d be b(-3). Let g = 2 + d. Factor -4*t**3 + 9*t**2 - 30*t + 30*t + g*t**3 - 3*t**4.
-3*t**2*(t - 3)*(t + 1)
Factor -52/11*j**2 + 0*j - 2/11*j**4 + 0 + 54/11*j**3.
-2*j**2*(j - 26)*(j - 1)/11
Let r(f) be the first derivative of f**4/2 + 230*f**3/3 - 233*f**2 + 234*f + 2883. Factor r(z).
2*(z - 1)**2*(z + 117)
Let s be (20/6 - ((68 - 59) + -8)) + (-34)/(-42). Suppose -s - 10/7*j**5 - 148/7*j**3 - 172/7*j**2 - 14*j - 62/7*j**4 = 0. Calculate j.
-11/5, -1
Let f(g) be the first derivative of 14*g**3/9 - 1306*g**2 - 2240*g/3 - 2169. Factor f(p).
2*(p - 560)*(7*p + 2)/3
Let o = -267104/236747 - 2932/1091. Let g = -105/31 - o. Factor 6/7*k**2 + g*k**5 + 3/7 - 9/7*k**4 + 6/7*k**3 - 9/7*k.
3*(k - 1)**4*(k + 1)/7
Let w = 1350 - 1417. Let v be (57 + w)*(-18)/105. Factor -12/7*g**2 - v - 22/7*g - 2/7*g**3.
-2*(g + 1)*(g + 2)*(g + 3)/7
Let r be 860/645 + (-3)/((-9)/(-4)). Let z(h) be the second derivative of 0*h**2 + 5*h + 25/6*h**3 + 5/12*h**4 + r. What is j in z(j) = 0?
-5, 0
Let t(f) be the second derivative of -3*f**5/140 + 5*f**4/7 - 19*f**3/14 + 5149*f. Factor t(k).
-3*k*(k - 19)*(k - 1)/7
Factor 2060*g - 47*g**3 + 130*g**4 + 190*g**2 - 125*g**4 + 1014 + 1506 - 48*g**3.
5*(g - 14)*(g - 9)*(g + 2)**2
Let f(j) be the third derivative of 0 + 0*j + 9*j**3 + 7/3*j**4 - 38*j**2 + 1/30*j**5. What is k in f(k) = 0?
-27, -1
Let t(l) = 3*l**2 + 585*l + 212. Let s(o) = -3*o**2 - 587*o - 217. Let d(n) = 4*s(n) + 5*t(n). Factor d(q).
(q + 192)*(3*q + 1)
Let a(u) = -17*u**2 - 160*u - 572. Let i(q) = 279*q**2 + 2562*q + 9150. Let v(c) = 33*a(c) + 2*i(c). Factor v(z).
-3*(z + 4)*(z + 48)
Let b(v) = 86*v**5 + 348*v**4 + 380*v**3 - 300*v**2 - 445*v - 42. Let w(n) = -6*n**5 - n - 2. Let h(f) = b(f) + 3*w(f). Let h(l) = 0. Calculate l.
-3, -2, -1, -2/17, 1
Suppose 3*i + 7 = -f, 5*f - 4*i - i = 45. Suppose -l + 3*c = -12, -4*c + 3*c - 18 = -f*l. Factor -4 - 6*r + 3*r**l + 15*r**3 - 24*r**2 - 16*r.
2*(r - 2)*(3*r + 1)**2
Let a(f) = 194*f - 2131. Let p be a(11). Let r(u) be the first derivative of -8*u + 1 + 1/2*u**4 + 9*u**2 - 4*u**p. Factor r(i).
2*(i - 4)*(i - 1)**2
Let n be ((-21)/(1911/13))/((-1)/((-28)/(-6))). Let i(z) be the first derivative of 0*z**4 + 1/15*z**5 - n*z**3 + 1 - 4/3*z**2 - z. What is q in i(q) = 0?
-1, 3
Suppose -y - 2*j + 11 = 0, -j + 7 = 4*y - 16. What is u in -u**4 - 26*u**5 - 4*u**3 - y*u**4 + 24*u**5 = 0?
-2, -1, 0
Let b(j) be the second derivative of -2*j**7/147 + 22*j**6/21 - 783*j**5/35 + 243*j**4/7 + 1310*j. Factor b(t).
-4*t**2*(t - 27)**2*(t - 1)/7
Let m = 603 + -600. Determine y, given that -3*y**3 + 41 - 28 - 15*y - m*y**2 + 73 + 49 + 78*y = 0.
-3, 5
Let z = -6921 - -6925. Factor -16/5*t**2 - t**z + 17/5*t**3 + 0 + 4/5*t.
-t*(t - 2)*(t - 1)*(5*t - 2)/5
Let r(k) = 11*k**2 + 1440*k - 4365. Let m(a) = 58*a**2 + 7200*a - 21825. Let f(p) = -2*m(p) + 11*r(p). Factor f(l).
5*(l - 3)*(l + 291)
Let v(q) = 22*q**3 + 54*q**2 - 32*q + 32. Let m(w) = 7*w**3 + 18*w**2 - 10*w + 10. Let z = -299 + 294. Let a(y) = z*v(y) + 16*m(y). Factor a(h).
2*h**2*(h + 9)
Let j be (-1665)/270*(-136)/1258. Factor -j + 4/9*a + 4/9*a**3 + 14/9*a**2.
2*(a + 1)*(a + 3)*(2