y*(y - 2)**2*(y - 1)/4
Solve 16*j + 0 + 2/3*j**2 = 0.
-24, 0
Find k, given that -103*k + 137*k - 88*k - 30*k + 142*k**2 + 14*k**3 - 8*k**4 - 48*k**3 = 0.
-7, 0, 3/4, 2
Let y(h) be the second derivative of -65*h + 111/2*h**5 + 5/42*h**7 + 0*h**2 - 16/3*h**6 + 680/3*h**4 + 0 + 1445/6*h**3. Factor y(t).
5*t*(t - 17)**2*(t + 1)**2
Let t be (2/4)/((-3)/(-4)). Let m = 12821/48081 - -1/80135. Determine o so that 0 + 14/15*o**2 + t*o**4 + 6/5*o**3 + 2/15*o**5 + m*o = 0.
-2, -1, 0
Factor -1530*n**3 - 882*n**4 + 6699*n**3 - 2080*n - 647 + 3567*n**3 - 21212*n**2 + 597.
-2*(n - 5)**2*(21*n + 1)**2
Determine v so that 62/5*v - 32/5 - 6*v**2 = 0.
1, 16/15
Suppose 0*t = -3*t + 2*r + 90, -5*r = -2*t + 60. Let -12*a**2 - t + 37 - 197*a + 52*a - 18*a**2 + 18 = 0. What is a?
-5, 1/6
Let p(n) be the second derivative of n**4/90 + 262*n**3/5 + 463347*n**2/5 - 13635*n. Suppose p(b) = 0. Calculate b.
-1179
Let p(b) be the second derivative of -3*b**6/20 + 51*b**5/40 + 3*b**4/4 - 24*b**3 - 24*b**2 - 532*b. Determine h so that p(h) = 0.
-2, -1/3, 4
Let h(f) be the third derivative of 0 + 0*f - 175*f**2 + 11/60*f**5 + 1/2*f**3 + 25/48*f**4 + 1/80*f**6. Suppose h(t) = 0. Calculate t.
-6, -1, -1/3
Suppose 0 = 2*x + b - 19, 0 = -5*x + 7*b - 3*b + 54. Suppose 4*v**3 - 393 - 391 - 18*v - x*v + 40*v**2 = 0. Calculate v.
-7, 4
What is h in 1/5*h**3 + 2420 + 2376*h - 219/5*h**2 = 0?
-1, 110
Let x = -3068 + 6139/2. Let p(s) be the first derivative of -4 + x*s**4 - 3*s**2 + 0*s + 2/3*s**3 - 2/5*s**5. Factor p(g).
-2*g*(g - 3)*(g - 1)*(g + 1)
Let b(r) be the first derivative of 5*r**3/3 + 915*r**2/2 + 2700*r - 2260. Determine n, given that b(n) = 0.
-180, -3
Let b(q) be the first derivative of q**4/22 + 14*q**3/11 + 135*q**2/11 + 50*q - 613. Let b(n) = 0. What is n?
-11, -5
Let z(m) be the first derivative of 1/4*m**4 - 3/2*m**2 + 11 + 9/20*m**5 + 38*m - 3/2*m**3. Let q(v) be the first derivative of z(v). Factor q(x).
3*(x - 1)*(x + 1)*(3*x + 1)
Let k(u) be the first derivative of u**4/7 + 20*u**3/21 - 572*u**2/7 + 160*u + 366. Let k(y) = 0. Calculate y.
-20, 1, 14
Let d be 26/(-3 + -8*(-1)/2). Suppose -22*t - 21*t**2 + 38 + 6*t**3 + 7*t - d = 0. What is t?
-1, 1/2, 4
Let r = -377 - -379. Suppose -r*x + y = -12, -8*y = 2*x - 6*y. Let 0 + 0*f + 4/15*f**2 - 2/5*f**3 + 2/15*f**x = 0. Calculate f.
0, 1, 2
Let r(m) = 28*m**4 - 48*m**3 + 1315*m**2 - 1562*m - 9203. Let l(g) = 13*g**4 - 26*g**3 + 658*g**2 - 780*g - 4602. Let z(c) = -13*l(c) + 6*r(c). Factor z(x).
-(x - 24)**2*(x - 4)*(x + 2)
Let m(p) be the first derivative of 0*p**2 - 339 + 0*p**5 + 0*p**3 + 1/15*p**6 + 0*p - 2/5*p**4. Factor m(x).
2*x**3*(x - 2)*(x + 2)/5
Let s = -1998 - -18046/9. Let w = 94/9 - s. Suppose -6*v**4 - w*v**5 - 8/15*v**2 + 0*v - 16/5*v**3 + 0 = 0. Calculate v.
-1, -2/5, 0
Let g(y) be the first derivative of y**6/36 - 79*y**5/30 + 151*y**4/24 + 77*y**3/6 - 6972. Find d, given that g(d) = 0.
-1, 0, 3, 77
Let u(g) = -g**2 + 10*g - 16. Let d be u(3). Factor -2*v**5 + 3*v**4 + d*v**5 - v**3 + 0*v**4 - 5*v**3.
3*v**3*(v - 1)*(v + 2)
Let r(i) be the first derivative of 7*i**6/180 + i**5/12 - i**4/6 - 6*i**3 - 150. Let z(u) be the third derivative of r(u). Factor z(m).
2*(m + 1)*(7*m - 2)
Let a(b) be the third derivative of -b**5/180 - 37*b**4/72 - 763*b**2. Let a(d) = 0. What is d?
-37, 0
Suppose 210*j - 3*j**5 + 99*j**3 + 159*j - 117*j + 432 - 348*j**3 - 384*j**2 - 48*j**4 = 0. What is j?
-6, -4, -1, 1
Let l(v) be the third derivative of 0 - v**2 + 0*v**4 + 1/60*v**5 - 2/3*v**3 + 24*v. Solve l(k) = 0.
-2, 2
Let p(o) be the second derivative of 1/20*o**5 - 69*o - 2/3*o**2 - 1/90*o**6 + 0 - 1/6*o**3 + 5/36*o**4. Factor p(s).
-(s - 4)*(s - 1)*(s + 1)**2/3
Let j(p) = 3*p**4 - 10*p**3 - 22*p**2 - 10*p - 5. Let b(d) = -10*d**4 + 30*d**3 + 68*d**2 + 32*d + 16. Let t(l) = -5*b(l) - 16*j(l). Solve t(z) = 0.
-3, -2, 0
Let o(v) = -50*v**2 + 5*v + 25. Let z(b) = -7*b**2 + b + 4. Let h(p) = -2*o(p) + 15*z(p). Factor h(c).
-5*(c - 2)*(c + 1)
Let i = -481 + 485. Let p be -1 + (54/189)/(i/14). Find v, given that 6/5*v**3 + p + 9/5*v**4 + 0*v**2 + 0*v - 27/5*v**5 = 0.
-1/3, 0, 2/3
Let a be ((-26)/143*11)/((-9)/18). Factor -50/7*j**2 - 2*j**a + 38/7*j**3 + 2/7*j**5 - 8/7 + 32/7*j.
2*(j - 2)**2*(j - 1)**3/7
Suppose -38 + 58 = 4*s. Suppose 4*l = -j - 1, -s*l + 1 = -4*j + 3*j. What is t in 2*t - 1/2*t**4 - 4*t**2 + 5/2*t**3 + l = 0?
0, 1, 2
Let t = -650 + 680. Suppose -17*v + 4 + t = 0. Let 10/13 - 2/13*b**3 + 6/13*b**v + 18/13*b = 0. Calculate b.
-1, 5
Let a(i) be the third derivative of -i**5/5 + 145*i**4/6 + 196*i**3/3 + 3*i**2 - 546. Suppose a(r) = 0. Calculate r.
-2/3, 49
Find g, given that 106/7*g - 8*g**3 - 12/7 + 62/7*g**2 = 0.
-1, 3/28, 2
Suppose 15*r - 3*q - 75 = 0, 0 = -3*q + 6*q. Factor 0*k**2 + 0 - 4/3*k**r + 0*k + 4*k**4 - 8/3*k**3.
-4*k**3*(k - 2)*(k - 1)/3
Let r(d) be the first derivative of d**7/840 - d**6/120 + d**5/60 - 46*d**3/3 - 20. Let m(q) be the third derivative of r(q). Solve m(b) = 0.
0, 1, 2
Let h be ((-12)/(-18))/(4/(-30)). Let q be (-4*51/(-48) + h)*-2. Determine b so that b**2 + 1/4*b + q*b**3 + 0 + b**4 + 1/4*b**5 = 0.
-1, 0
Suppose 6*y - y = 20. Find a, given that -88*a**4 + 12*a - 81*a**3 + 81*a**5 + 32*a**4 - 12 + 69*a**2 + 12*a - 25*a**y = 0.
-2/3, 1/3, 1
Find q such that 6/23*q**4 - 636/23*q**2 + 158/23*q**3 + 712/23*q - 240/23 = 0.
-30, 2/3, 1, 2
Let m be (-25)/((-4500)/(-2112))*54. Let s = m - -634. Factor -s*a**2 - 12/5*a + 0.
-2*a*(a + 6)/5
Suppose -251 = -q + 5*h - 78, -q = -h - 181. Let t = 185 - q. Let 2/17*a**3 + 2/17*a**t + 0*a + 0 = 0. What is a?
-1, 0
Let g be ((-2893)/(-77) - 38)*28/(-3). Factor -9/2*a**2 - 2 - 1/4*a**g + 5*a + 7/4*a**3.
-(a - 2)**3*(a - 1)/4
Let s(l) = l - 14. Let u(z) = 3*z**2 - 8439*z + 5913858. Let a(q) = 15*s(q) + u(q). Solve a(k) = 0.
1404
Let p = 2933/14498 - 27/1318. Determine o so that -2/11*o - 8/11*o**2 + 8/11 + p*o**3 = 0.
-1, 1, 4
Solve -3875/4*l - 9375/4 - 5/4*l**3 - 265/4*l**2 = 0 for l.
-25, -3
Let c(x) be the second derivative of -x**4/48 - 247*x**3/6 - 987*x**2/8 - 6554*x. Determine b so that c(b) = 0.
-987, -1
Let q(g) = g**2 - 24*g + 6. Let m be q(0). Let h be m/21 + (-5 - (-668)/112). Factor 0*p**2 - h*p**3 + 0 + 0*p.
-5*p**3/4
Let -2*x - 2/7*x**2 - 20/7 = 0. What is x?
-5, -2
Let m = 157 + -187. Let t be 2/6*4/((-160)/m). Factor 1/4*r**4 + 0*r + t - 1/2*r**2 + 0*r**3.
(r - 1)**2*(r + 1)**2/4
Let k(n) be the third derivative of n**6/1380 - 24*n**5/23 + 4375*n**2. Suppose k(j) = 0. Calculate j.
0, 720
Let w = 597322 + -597320. Solve -10/7*c + 0 + 2/7*c**w = 0.
0, 5
Let y be (4 - 0)*(-5508)/(-4896). Let h(z) be the first derivative of 1/3*z**6 + 0*z + 0*z**2 + y*z**4 - 8/3*z**3 - 14 - 12/5*z**5. Let h(r) = 0. What is r?
0, 1, 4
Factor -64*m**2 + 36*m**2 - 26*m**3 - 22*m**3 + 46*m**3 - 86*m**2.
-2*m**2*(m + 57)
Factor -112/5 + 2*g**2 - 1/5*g**3 + 103/5*g.
-(g - 16)*(g - 1)*(g + 7)/5
Factor 3/5*l**4 - 12*l + 87/5*l**2 + 0 - 6*l**3.
3*l*(l - 5)*(l - 4)*(l - 1)/5
Suppose -14*n + 16*n + 4*c - 12 = 0, 2*c = 4*n - 4. Suppose n*o + 4*y + 1 = -7, 4*y = 2*o - 8. Factor o*h + 0 + 1/2*h**3 + 1/2*h**4 - 1/2*h**2 - 1/2*h**5.
-h**2*(h - 1)**2*(h + 1)/2
Let -6*q**2 - 63*q**3 - 272 + 270 + 65*q**3 + 6*q = 0. What is q?
1
Let i(f) be the third derivative of -f**7/945 - 19*f**6/54 + 191*f**5/270 - f**2 + 239*f + 1. Factor i(c).
-2*c**2*(c - 1)*(c + 191)/9
Suppose 244*p = -81*p + 219 + 431. Let -7/5*c - c**4 + 3/5 + 1/5*c**5 + 6/5*c**3 + 2/5*c**p = 0. Calculate c.
-1, 1, 3
Let c(i) be the third derivative of -1/4*i**4 + 0*i**3 + 0*i + 3/100*i**6 - 3/100*i**5 - 1/350*i**7 + 61*i**2 + 0. Solve c(h) = 0 for h.
-1, 0, 2, 5
Determine z so that 1/8*z**2 + 91/8*z + 33 = 0.
-88, -3
Factor 661 + 339 - 25*w - 10*w**3 + 1030*w - 1995*w**2.
-5*(w - 1)*(w + 200)*(2*w + 1)
Let j(y) be the third derivative of -7/16*y**4 - 3*y**2 - 1/80*y**5 + 0*y - 13/8*y**3 + 0. Solve j(u) = 0.
-13, -1
Let a(l) be the first derivative of 0*l**2 + 0*l + 17 - 1/8*l**4 - 1/600*l**6 - 16/3*l**3 - 3/100*l**5. Let q(b) be the third derivative of a(b). Factor q(j).
-3*(j + 1)*(j + 5)/5
Let j(n) be the first derivative of 1/2*n**3 - 45/2*n + 60 - 21/2*n**2. Suppose j(b) = 0. What is b?
-1, 15
Suppose 7*b + 71 = 393. Suppose 12*d = -10 + b. Factor 2/7*c**d + 2/7*c - 4/7*c**2 + 0.
2*c*(c - 1)**2/7
Let s