**4 - 3*u**r + 0*u**2 + 0*u**2.
u**2*(u - 4)*(u + 1)
Let j = 347 - 327. Let s be (1 + -5)/j*0. Find r such that 4/5*r**2 + s*r + 0 = 0.
0
Let d(x) = -x**2 + 8*x + 1. Let f be d(6). Suppose -4*l - m + 16 = 0, -5*l - m + f + 7 = 0. Let 4*s**2 - 4*s**4 - l*s**3 + 16*s**4 - 12*s**2 = 0. What is s?
-2/3, 0, 1
Suppose -738*z - 2*z**4 + z**4 + 312*z**2 + 473 - z**4 - z**4 - 14 - 30*z**3 = 0. What is z?
-17, 1, 3
Suppose 12*r = 29*r - 85. Suppose -r*z = -10*z - g + 5, -z = -4*g - 22. Factor -24/7 + 8/7*x**z + 20/7*x - 4/7*x**3.
-4*(x - 3)*(x - 1)*(x + 2)/7
Suppose 0 = -2*y + 5*v + 123, 0 = -2*y + 5*y - 2*v - 157. Let -40 + 19*s + 0*s**2 - y*s - 5*s**2 = 0. What is s?
-4, -2
Let t(d) = -4*d**2 - 3*d + 1. Let p(a) = -5*a**3 - 49*a**2 + 367*a + 2211. Let n(m) = p(m) - 6*t(m). Let n(r) = 0. What is r?
-7, 9
Let t(c) be the second derivative of c**9/15120 - c**8/1344 + c**7/630 + 3*c**4/2 - 3*c - 5. Let i(o) be the third derivative of t(o). Factor i(g).
g**2*(g - 4)*(g - 1)
Let z(g) be the third derivative of -g**6/720 + g**5/18 - 11*g**4/12 + 8*g**3 + 2*g**2 - 208*g. Find x such that z(x) = 0.
6, 8
Factor -32/9*o**4 + 0 - 2/9*o**5 + 0*o + 256*o**2 + 32/3*o**3.
-2*o**2*(o - 8)*(o + 12)**2/9
Suppose -4 = 4*k + 20. Let h be 2/k*((-11 - -4) + 1). Solve -2/13*f**3 + 0 + 0*f - 4/13*f**h = 0 for f.
-2, 0
Let o = 4781/19 + -14305/57. Suppose 24 - 34/3*l**2 - 2/3*l**3 + o*l**4 + 14*l = 0. What is l?
-4, -1, 3
What is m in 4*m**5 + 12*m**3 - 4990995 - 16*m**4 + 4990995 = 0?
0, 1, 3
Let y be 1/2 + (-634)/(-4) - -5. Let n = y - 655/4. Factor 2*u + 4 - 7/4*u**2 + n*u**3.
(u - 4)**2*(u + 1)/4
Let b = 193681/120 - 1614. Let l(a) be the third derivative of 1/9*a**3 - 1/180*a**5 - 1/630*a**7 + b*a**6 + a**2 + 0*a - 1/24*a**4 + 0. Factor l(t).
-(t - 2)*(t - 1)**2*(t + 1)/3
Let p = 14390 + -1367151/95. Let f = -5/19 - p. Factor 4/5*t**3 - 4/5 + 4/5*t**2 - f*t.
4*(t - 1)*(t + 1)**2/5
Suppose 133 = -12*t + 169. Suppose 2*j - 5*j + 3*v = -3, t*v - 6 = 0. Factor 3*n**2 - 7/3*n**j + 0 - 2/3*n.
-n*(n - 1)*(7*n - 2)/3
Let w(y) be the second derivative of -y**4/72 + 5*y**3/4 + 125*y**2/6 - 278*y + 2. Factor w(x).
-(x - 50)*(x + 5)/6
Let t = 47551 - 47545. Solve 3/2*n**2 + t + 15/2*n = 0 for n.
-4, -1
Suppose -11664 = 91*i - 95*i. Determine s, given that 37*s**3 - 31*s**3 + 144*s**2 + i + 24*s**2 + 4590*s + 160*s**2 = 0.
-27, -2/3
Suppose 5*w + 4*r = -900, 0*w - 915 = 5*w + r. Let l = w - -188. Factor 4/9*u**2 + 0*u + 4/9*u**l + 0 + 8/9*u**3.
4*u**2*(u + 1)**2/9
Let g(h) be the first derivative of 5*h**4/4 - 415*h**3/3 + 4600*h**2 - 24000*h - 511. Suppose g(x) = 0. Calculate x.
3, 40
Let g(t) = 5*t**3 - 1928*t**2 - 14. Let x(q) = 2*q**3 - 644*q**2 - 4. Let m(k) = -2*g(k) + 7*x(k). Determine s, given that m(s) = 0.
0, 163
Let k(u) be the first derivative of -65*u**4/16 + 205*u**3/6 - 705*u**2/8 + 45*u - 3317. Let k(t) = 0. What is t?
4/13, 3
Suppose -3*j = 2*a - 72, -j = 2*a + 3*a - 24. Let k be (j - 14) + 0 + 4. Factor -11*r + 9*r - 2*r + 6 - 4*r**3 - k*r**2.
-2*(r + 1)*(r + 3)*(2*r - 1)
Factor -80 - 4/3*m**3 + 16*m**2 + 196/3*m.
-4*(m - 15)*(m - 1)*(m + 4)/3
Let v be 2*15/81*(-24)/(-20)*21. Factor -44/3*k**2 - v*k**4 - 8/3*k + 0 - 64/3*k**3.
-4*k*(k + 1)**2*(7*k + 2)/3
Let w be ((-316)/16 + 1)*(-45)/36*(-88)/(-55). Factor 2187 - 2025*j + 1551/4*j**2 + 3/4*j**4 + w*j**3.
3*(j - 2)**2*(j + 27)**2/4
Let u = -85/9 - -2693/288. Let y = u - -539/288. Determine d so that -16/3*d + y + 4*d**2 = 0.
2/3
Let k(z) be the first derivative of -z**7/350 + z**6/50 - z**5/100 - 3*z**4/20 + 51*z**2 - 110. Let i(g) be the second derivative of k(g). Solve i(u) = 0.
-1, 0, 2, 3
Let x(r) be the second derivative of -16*r**5/5 + 19*r**4/3 + 58*r**3/3 - 12*r**2 + 133*r + 2. Factor x(o).
-4*(o - 2)*(o + 1)*(16*o - 3)
Let v be 2/5 + 72/420*(-252)/243. Factor -8/9*d + v*d**2 + 8/9.
2*(d - 2)**2/9
Let x = 8800 - 8797. Suppose -25 + 33 = 4*z. Solve 0 - 1/2*k**x - 3/2*k**z - k = 0.
-2, -1, 0
Let r(q) be the second derivative of 0 + 99*q + 11/135*q**6 + 0*q**3 + 2/63*q**7 + 0*q**2 + 2/45*q**5 - 1/54*q**4. Find a, given that r(a) = 0.
-1, 0, 1/6
Let r(c) be the third derivative of -c**8/224 + 5*c**7/28 - 27*c**6/20 - 81*c**5/10 + 2*c**2 - 2696. Let r(j) = 0. Calculate j.
-2, 0, 9, 18
Suppose 1 = -241*b + 4 - 3. Let j(d) be the second derivative of 2/45*d**3 - 19*d + b - 1/15*d**2 - 1/90*d**4. Suppose j(q) = 0. What is q?
1
Let u = 11 + -20. Let d(v) = -5*v + 24. Let q be d(u). Suppose -65*l + 35*l**4 + 204*l**2 - q*l**2 - 115*l**3 - 37 + 47 = 0. Calculate l.
2/7, 1
Let x(m) be the third derivative of m**7/840 - 5*m**6/64 + 229*m**5/480 + 51*m**4/32 + m**2 - 24*m + 66. Find h, given that x(h) = 0.
-1, 0, 9/2, 34
Let r(h) = h**2. Let u = 18 - 12. Suppose -2*w + 16 = -u*w. Let j(a) = -4*a**2 - 3*a + 2. Let s(y) = w*j(y) - 20*r(y). Factor s(n).
-4*(n - 2)*(n - 1)
Let s be (4 - 8)/(((-90)/(-7137))/5). Let y = s + 1606. Factor 5/2*d**3 - y*d**2 + 0 + 35/2*d.
5*d*(d - 7)*(d - 1)/2
Let h(z) = 2*z**4 + 2*z**2 + 2. Let v(q) = -29*q**4 - 47*q**3 - 115*q**2 - 45*q - 22. Let o(g) = 33*h(g) + 3*v(g). Factor o(p).
-3*p*(p + 3)**2*(7*p + 5)
Let k(i) be the first derivative of i**4/126 + 2*i**3/7 + 27*i**2/7 + 16*i - 103. Let j(v) be the first derivative of k(v). Determine y so that j(y) = 0.
-9
Factor 2/15*i**2 + 24 - 56/15*i.
2*(i - 18)*(i - 10)/15
Let p(v) = 2*v**3 + 324 + 334 - 658 - v**2. Let d(b) = -2*b**3 - 38*b**2 - 22*b - 4. Let i(s) = d(s) - 6*p(s). Solve i(u) = 0 for u.
-1, -2/7
Let v = 155027/45 - 3445. Let a(s) be the first derivative of 21 + v*s**3 - 1/3*s**2 + 4/5*s. Let a(t) = 0. Calculate t.
2, 3
Let f be (-60 + 15 - -36)/(-6). Factor f*l**2 - 27/2*l + 21.
3*(l - 7)*(l - 2)/2
Let m(c) be the first derivative of -c**5/30 - c**4/9 + 5*c**3/9 + 2*c**2 + 43*c + 25. Let j(v) be the first derivative of m(v). Find s, given that j(s) = 0.
-3, -1, 2
Factor 54937*s**2 + 906304 + 54938*s**2 + 3808*s - 109871*s**2.
4*(s + 476)**2
Let c(z) be the first derivative of 1/8*z**4 - 4/3*z**3 - 5 + 4*z - 1/4*z**2. Factor c(m).
(m - 8)*(m - 1)*(m + 1)/2
Let d(v) be the third derivative of -v**8/5880 + v**7/980 - v**5/105 + 41*v**3/6 + v**2 + 43. Let y(o) be the first derivative of d(o). Factor y(u).
-2*u*(u - 2)**2*(u + 1)/7
Let n = -81713 - -81715. Determine w so that 6*w - 3/2*w**4 - 3*w**3 + 9/2*w**n - 6 = 0.
-2, 1
Factor -6780*s - 3*s**3 - 170 + 398 + 6432*s + 123*s**2.
-3*(s - 38)*(s - 2)*(s - 1)
Suppose -3*a + d = -11, -6*a = -a + 3*d - 23. What is j in -6*j**2 - 65 + a*j + 6*j + 8*j**2 + 73 = 0?
-4, -1
Suppose -51*m + 1125 = 9*m + 15*m. Let j(g) be the third derivative of -1/21*g**4 - 3/70*g**5 - m*g**2 + 0 + 0*g**3 - 1/70*g**6 + 0*g - 1/735*g**7. Factor j(i).
-2*i*(i + 1)**2*(i + 4)/7
Suppose -76928302277/2 - 12759/2*g**2 - 54264027/2*g - 1/2*g**3 = 0. Calculate g.
-4253
Let t = 37463 + -37463. Let 0*b**3 - 2/7*b**5 + t + 0*b**2 - 2/7*b**4 + 0*b = 0. Calculate b.
-1, 0
Let b be (-854)/2989 - (1 + 2643/(-63)). What is u in 2/3*u**4 + b*u**2 + 12*u**3 + 200/3 - 120*u = 0?
-10, 1
Let g(p) be the second derivative of -p**6/540 - p**5/30 - 5*p**4/27 - 4*p**3/9 + 11*p**2/2 + 9*p - 2. Let q(b) be the first derivative of g(b). Factor q(r).
-2*(r + 1)*(r + 2)*(r + 6)/9
Let w(a) be the second derivative of -5*a**4/12 + 665*a**3 + 3995*a**2/2 - a - 936. Solve w(z) = 0.
-1, 799
Suppose -5*k - 4 = 2*i - 14, -3*k + 6 = 4*i. Find q such that 136/3*q - 2312/3 - 2/3*q**k = 0.
34
Suppose 0 = 5*t + 12*t - 34. Factor 690*s**3 - 1125*s**t + 201*s**4 + 285*s**3 + 5*s**5 - 56*s**4 + 0*s**5.
5*s**2*(s - 1)*(s + 15)**2
Factor 24*m**2 - m**3 - 6*m**4 - 16*m + 0*m**2 + m**5 + 8*m**3 - 2*m**3 - 20*m.
m*(m - 3)**2*(m - 2)*(m + 2)
Let r(p) be the third derivative of -2*p**7/105 - 13*p**6/10 - 169*p**5/5 - 2197*p**4/6 - 1520*p**2. Let r(u) = 0. Calculate u.
-13, 0
Let a(d) be the first derivative of -7/18*d**3 + 24*d - 5/3*d**2 + 30 - 1/36*d**4. Let y(t) be the first derivative of a(t). Suppose y(l) = 0. What is l?
-5, -2
Find x, given that 2450 - 5*x**5 + 80*x**4 - 568*x**2 - 320*x**3 + 129*x**2 + 2485*x + 69*x**2 = 0.
-2, -1, 5, 7
Let n(p) be the first derivative of p**6/90 - 2*p**5/15 + p**4/2 + 89*p**3/3 - 137. Let t(y) be the third derivative of n(y). Factor t(a).
4*(a - 3)*(a - 1)
Let g be 1725/225 - 64/48. Factor 1/3*k**2 - g*k + 0.
k*(k - 19)/