m**6 + 4*m**2 + 2*m**3 + 0 - 1/2*m**4 - 1/20*m**5. Determine r, given that j(r) = 0.
-2, 1, 2
Factor -9/4*i**4 + 1/4*i**5 + 3/2*i - 19/4*i**2 + 0 + 21/4*i**3.
i*(i - 6)*(i - 1)**3/4
Let s be 5 + 10/(-4 + -1). Let k(y) be the third derivative of 1/40*y**5 + 3*y**2 + y**s + 1/4*y**4 + 0*y + 0. Suppose k(i) = 0. Calculate i.
-2
Suppose -7 = -3*x - z, -4*x + z + 0*z = -21. Factor -76*y**2 + 2*y + 80*y**2 - y**x - 3*y**4 - 2*y**5.
-2*y*(y - 1)*(y + 1)**3
Solve -20*x - 48/7*x**2 + 12/7 = 0.
-3, 1/12
Suppose -187/6*z - 289/2 - 1/6*z**3 + 31/6*z**2 = 0. What is z?
-3, 17
Suppose 0 = -4*x + 16, -w + 3*x = -3*w - 160. Let f = w - -517/6. Factor 0 + f*o**3 - 1/6*o**2 + 0*o.
o**2*(o - 1)/6
Let a(v) be the second derivative of v**7/14 + v**6/2 + 27*v**5/20 + 7*v**4/4 + v**3 + 6*v - 2. Factor a(b).
3*b*(b + 1)**3*(b + 2)
Let t(l) be the second derivative of l**6/120 - 3*l**5/20 + 2*l**4/3 + 2*l**3 - 18*l**2 + 137*l. Factor t(d).
(d - 6)**2*(d - 2)*(d + 2)/4
Let b(j) be the first derivative of -3/28*j**4 + 1/42*j**6 + 0*j**2 + 0*j + 2/35*j**5 - 2 + 0*j**3. Factor b(f).
f**3*(f - 1)*(f + 3)/7
Let c = -575 + 575. Suppose 4/9*g**3 + c*g**2 - 2/9 - 4/9*g + 2/9*g**4 = 0. Calculate g.
-1, 1
Let s(a) = -a**3 + a**2 - 1. Let b(d) = 2*d**3 + 5*d**2 + 3*d - 9. Let j(z) = b(z) + s(z). Let j(t) = 0. Calculate t.
-5, -2, 1
Solve 7*m**4 + 14256/5 + 2160*m + 96*m**3 + 648*m**2 + 1/5*m**5 = 0 for m.
-11, -6
Let u(d) = -d**3 + 12*d**2 + 37*d - 309. Let b be u(13). Find a, given that 2/7*a**b + 0 - 2/7*a - 6/7*a**2 + 6/7*a**4 = 0.
-1, -1/3, 0, 1
Let y(w) = -w**2 + 11*w + 3. Let i be y(11). Factor 20*g + 6*g**2 - 8 - 20*g + 2*g**i.
2*(g - 1)*(g + 2)**2
Let n(x) be the second derivative of x**5/270 + x**4/36 + 2*x**3/27 - 7*x**2 + 21*x. Let l(o) be the first derivative of n(o). Factor l(c).
2*(c + 1)*(c + 2)/9
Let p(u) be the first derivative of 5*u**4/4 + 10*u**3 - 65*u**2/2 - 210*u + 109. Determine l, given that p(l) = 0.
-7, -2, 3
Let r be (-3)/(9/(-3)) - 1. Let j be 1/((-14)/(-182)) - 9. Factor 0*p**2 + 2/17*p**j - 4/17*p**5 + 0 + r*p + 2/17*p**3.
-2*p**3*(p - 1)*(2*p + 1)/17
Let f be 12/50*-15*((-15)/9)/5. Determine b so that 6/5*b + 0 - f*b**3 + 3/5*b**2 - 3/5*b**4 = 0.
-2, -1, 0, 1
Factor -1/5*o**3 - 13/10 - 23/10*o**2 + 19/5*o.
-(o - 1)*(o + 13)*(2*o - 1)/10
Factor -90*n - 14*n**2 + 21*n**2 - 3*n**3 - 40*n**2 - 18*n**2.
-3*n*(n + 2)*(n + 15)
Let 2/3*q**2 - 56 - 80/3*q = 0. Calculate q.
-2, 42
Solve 31*m**5 + 80*m - 4676 - 29*m**5 - 136*m**2 - 12*m**4 + 84*m**3 + 4676 - 10*m**4 = 0.
0, 2, 5
Let c(j) = -2*j - 8. Let i be c(-11). Determine t so that 0*t + t**2 + i*t - 4 - 8*t - 3*t**2 = 0.
1, 2
Let x be 40/16*(-3)/(-90). Let m(p) be the first derivative of -x*p**3 - 3/8*p**2 - 1/2*p - 4. Factor m(j).
-(j + 1)*(j + 2)/4
Let f(t) be the third derivative of t**8/84 - 4*t**7/105 - t**6/30 + 2*t**5/15 + 41*t**2. Factor f(j).
4*j**2*(j - 2)*(j - 1)*(j + 1)
Let q(g) be the first derivative of -1/132*g**4 - 1/2*g**2 + 0*g**3 - 1/330*g**5 - 6 + 0*g. Let x(n) be the second derivative of q(n). Factor x(h).
-2*h*(h + 1)/11
Let t = 62/51 + -152/153. Factor 0*m - t*m**3 + 0 + 4/9*m**2.
-2*m**2*(m - 2)/9
Let w(i) be the first derivative of -392*i**6/3 + 1456*i**5/5 - 141*i**4 - 104*i**3/3 - 2*i**2 - 163. Factor w(k).
-4*k*(k - 1)**2*(14*k + 1)**2
Let f(o) be the second derivative of -o**7/28 + 3*o**6/20 + 3*o**5/10 - 67*o. Solve f(j) = 0 for j.
-1, 0, 4
Let k(u) be the first derivative of -u**7/1260 + u**5/180 + 11*u**3/3 - 1. Let w(l) be the third derivative of k(l). Factor w(v).
-2*v*(v - 1)*(v + 1)/3
Let v(y) be the second derivative of 2*y**6/75 - 68*y**5/25 + 362*y**4/5 + 952*y**3/3 + 490*y**2 - 17*y - 6. Find o, given that v(o) = 0.
-1, 35
Let k = -1637 + 3427/2. Let p = k + -451/6. Factor -1/3*n**2 - p - 4/3*n.
-(n + 2)**2/3
Let v be (20/9)/1 - 2. Suppose -60*y + 13*y + 235 = 0. Find s such that v*s**4 + 0 - 4/9*s**3 + 2/3*s**y + 0*s + 0*s**2 = 0.
-1, 0, 2/3
Let f = 23 - -2. Solve 18*h - 5*h**4 + f*h**3 - 5*h**5 + 17 + 5*h**2 - 58*h + 3 = 0.
-2, 1
Let o = -12751 - -12754. Let 8/3*p**o + 0 + 4/3*p + 4*p**2 = 0. What is p?
-1, -1/2, 0
Let p(l) = 4*l**3 - 4*l**2 - 8*l - 6. Let j = 2 + -1. Let u(v) = v**3 - v - 1. Let b(i) = j*p(i) - 6*u(i). Let b(n) = 0. Calculate n.
-1, 0
What is z in -361/2*z**2 - 1/2 - 19*z = 0?
-1/19
Let t(x) be the third derivative of x**6/320 + x**5/16 - x**4/2 - 6*x**3 + 349*x**2. Factor t(b).
3*(b - 4)*(b + 2)*(b + 12)/8
Factor 6*o**3 - 780/7*o**2 + 3834/7*o - 1944/7.
6*(o - 9)**2*(7*o - 4)/7
Let r(y) be the first derivative of -y**4/22 - 26*y**3/33 - 5*y**2 - 150*y/11 + 1014. Find j, given that r(j) = 0.
-5, -3
Let f(s) be the second derivative of 27*s**5/20 - 15*s**4/4 - 4*s**3 + 24*s**2 - 100*s - 1. Suppose f(x) = 0. What is x?
-1, 4/3
Factor 846*u**2 - 13142 - 842*u**2 - 848*u + 58086.
4*(u - 106)**2
Let m = -5539/2 - -2636. Let y = m - -136. Determine z, given that 1/2 + 2*z**2 - y*z = 0.
1/4, 1
Suppose d + c + 4 = 0, -4*d - c = -2*c + 31. Let v = -3 - d. Factor 6/5*q**3 + 4/5*q + 2*q**2 + 0 - 2/5*q**5 - 2/5*q**v.
-2*q*(q - 2)*(q + 1)**3/5
Suppose -h + 3*h + 6 = 0. Let c be ((3 + -3)/4)/(h/1). Factor c*q - 1/2 + 1/2*q**2.
(q - 1)*(q + 1)/2
Let j(y) be the first derivative of -2*y**7/175 - y**6/75 - y**5/200 - 8*y**3/3 - 2. Let b(u) be the third derivative of j(u). Suppose b(v) = 0. What is v?
-1/4, 0
Let x be (45/5)/(-18) + 1/2. Factor 4/5*b**2 + 0*b - 2/5*b**3 + x.
-2*b**2*(b - 2)/5
Let i(b) be the second derivative of b**6/6 - 5*b**4/2 + 20*b**3/3 - 15*b**2/2 + 92*b + 2. Let i(j) = 0. Calculate j.
-3, 1
Let v(y) be the second derivative of -y**7/70 - 3*y**6/40 - y**5/10 - 4*y**2 + 6*y. Let d(g) be the first derivative of v(g). Determine j, given that d(j) = 0.
-2, -1, 0
Let z(o) be the first derivative of 2*o**6/3 + 48*o**5/5 + 41*o**4 + 152*o**3/3 - 72*o**2 - 224*o - 33. Let z(c) = 0. What is c?
-7, -2, 1
Let j(h) = 2*h**5 + 8*h**4 - 45*h**3 + 110*h**2 - 115*h + 54. Let k(y) = -y**5 + y**4 - y**3 - 2*y**2 + y - 2. Let d(n) = 5*j(n) + 15*k(n). Factor d(v).
-5*(v - 3)*(v - 2)**4
Suppose -5/6*h + 1/2 + 1/6*h**2 + 1/6*h**3 = 0. What is h?
-3, 1
Let y(o) = -2*o**2 - o + 2. Let h(r) = -5*r**2 - 8*r + 10. Let p(c) = -4*h(c) + 12*y(c). Determine f so that p(f) = 0.
1, 4
Let l(o) be the first derivative of -o**6/2 + 15*o**4/4 - 6*o**2 + 108. Find n such that l(n) = 0.
-2, -1, 0, 1, 2
Let n be (-32)/(-18) + 4/18. Solve 88 - 58 - 5*s - n*s**2 - 2*s**2 - s**2 = 0.
-3, 2
Let f(r) = -2*r**2 - 12*r - 25. Let j be f(-5). Let b be (-105)/1*2*3/j. Factor 68/3*z**3 - 8/3*z**2 - b*z**4 + 0 - 27*z**5 + 0*z.
-z**2*(z + 2)*(9*z - 2)**2/3
Let t(l) = -17*l**3 + 62*l**2 - 391*l + 484. Let o(q) = 2*q**3 + 3*q**2 + q + 1. Let r(c) = -6*o(c) - t(c). Let r(u) = 0. Calculate u.
2, 7
Let 0 - 6/7*v**3 + 6/7*v + 3/7*v**2 - 3/7*v**4 = 0. Calculate v.
-2, -1, 0, 1
Let s = 1458 - 14563/10. Let c = 71/30 - s. Factor 0 + c*h - 1/3*h**2.
-h*(h - 2)/3
Let o(y) = -65*y**5 - 1316*y**4 + 1589*y**3 - 70*y**2 - 138*y - 5. Let v(x) = -x**5 - x**4 + x**3 + x**2 - 1. Let w(d) = -o(d) + 5*v(d). Solve w(g) = 0 for g.
-23, -1/4, 0, 2/5, 1
Suppose -4 = 3*l - o, -51*l + 49*l + 4*o - 16 = 0. Solve 16/9*a**2 - 2/9*a**5 + 2/3*a + 0 + 4/3*a**3 + l*a**4 = 0 for a.
-1, 0, 3
Factor -87/5*z**2 + 0 - 39/5*z**3 + 3/5*z**4 - 9*z.
3*z*(z - 15)*(z + 1)**2/5
Suppose -9 + 7 - 63*o**2 + 61*o**2 - 4*o = 0. Calculate o.
-1
Suppose -1/3 - 3*q**3 - 19/3*q**2 - 11/3*q = 0. Calculate q.
-1, -1/9
Let l be 7/(-6) + 1/6. Let x(v) = 3*v**3 + 10*v**2 + 14*v - 2. Let n(m) = -m**2 + m - 1. Let y(b) = l*x(b) + 2*n(b). Suppose y(p) = 0. Calculate p.
-2, 0
Let s(y) = -3*y**3 - 10*y**2 - 3*y - 4. Let k(w) = -w**3 - 3*w**2 - 1. Let t(i) = 4*k(i) - s(i). Factor t(a).
-a*(a - 1)*(a + 3)
Let o = -141 - -98. Let p = o + 46. Solve -2/7*s + 0 + 2/7*s**p - 2/7*s**4 + 2/7*s**2 = 0.
-1, 0, 1
Let d(q) be the second derivative of q**6/45 - 11*q**5/5 + 14*q**4 - 248*q**3/9 - 508*q. Factor d(k).
2*k*(k - 62)*(k - 2)**2/3
Suppose -4*x + 10 + 2 = 0. Factor -4*n**3 + 23*n**2 - x*n**4 - 17*n**2 + n**3.
-3*n**2*(n - 1)*(n + 2)
Factor 12*i - 95*i**2 + 105*i**2 + 0*i**3 - 2*i**3.
-2*i*(i - 6)*(i + 1)
What is o in 8/3*o**2 - 3/2*o**4 + 0*o + 0 - 1/6*o**5 - o**3 = 0?
-8, -2, 0, 1
Let y(k) = -2*k**2 + 25*k + 21. Let t(l) = l**2 - l. Let j(w) = -15*t(w) - 