 w**3/6 + 21*w. Let d(k) = u(k) - 5*z(k). Factor d(f).
2*f*(f + 3)
Suppose -3*s + 5 = -2*g, -23 = -4*g - 4*s - 3. Let 2 + 3*n**g - 7*n - n**2 + 6*n - 3*n**2 = 0. Calculate n.
-2, 1
Let n(q) be the second derivative of q**4/2 + 13*q**3/12 + 5*q**2/6 - 167*q. Solve n(w) = 0 for w.
-2/3, -5/12
Let a = -910 + 182001/200. Let x(j) be the third derivative of -1/50*j**5 - a*j**6 - j**2 + 0*j**3 + 0*j**4 + 0 + 0*j + 1/350*j**7. Factor x(n).
3*n**2*(n - 2)*(n + 1)/5
Suppose 26*o + 20*o + 16*o = 0. Find d such that -2/11*d**2 + 2/11 + o*d = 0.
-1, 1
Let l(m) = m**3 - 4*m**2 + 1. Let v be l(4). Let q be (2/(v + 5))/((-2)/(-18)). Factor 20/3*z**q + 2/3*z**5 + 2/3 + 10/3*z**4 + 10/3*z + 20/3*z**2.
2*(z + 1)**5/3
Let g = -55 + 58. Let -g*w**2 + 12 - 6*w**2 + 11*w**2 + 10*w = 0. What is w?
-3, -2
Let 447 + 7*t**2 - 222*t + 462 - 973 = 0. What is t?
-2/7, 32
Determine x, given that 24*x**2 - 44*x**3 - 9*x**4 - 136*x + 10*x**5 + 152*x + 3*x**4 = 0.
-2, -2/5, 0, 1, 2
Find j such that 2/5*j**4 - 2/5*j**3 + 0 - 6/5*j - 2*j**2 = 0.
-1, 0, 3
Find x such that -120*x + 320 + 0*x**4 + 5*x**4 - 49*x**2 - 27*x**2 + 30*x**3 - 24*x**2 = 0.
-8, -2, 2
Factor 39/10*w + 4/5*w**2 - 1/2.
(w + 5)*(8*w - 1)/10
Determine n, given that -6/5*n**2 + 1/5*n + 3/5*n**4 + 1/5*n**5 + 3/5 - 2/5*n**3 = 0.
-3, -1, 1
Let x(f) = -21*f**3 + 132*f**2 - 9*f - 216. Let g(s) = -3*s**3 + 19*s**2 - s - 31. Let t(z) = 27*g(z) - 4*x(z). Factor t(n).
3*(n - 3)**2*(n + 1)
Let i(l) = 4*l**4 + 35*l**3 - 4*l**2 - 29*l. Let d(p) = -12*p**4 - 104*p**3 + 12*p**2 + 88*p. Let q(f) = -3*d(f) - 8*i(f). Suppose q(y) = 0. Calculate y.
-8, -1, 0, 1
Factor 4*v**3 - 233*v - 5*v**3 - 108*v - 4*v**3 - 14*v - 360*v**2.
-5*v*(v + 1)*(v + 71)
Let s(l) = -684*l + 684. Let i be s(1). Factor 1/5*m**3 + 3/5*m + i - 4/5*m**2.
m*(m - 3)*(m - 1)/5
Let x(a) = a**3 - 5*a**2 + 2*a - 7. Let w be x(5). Find m, given that -3/2*m**2 + 0 + 0*m + 3/2*m**w = 0.
0, 1
Let a(u) be the first derivative of 2*u**3/33 + 294*u**2/11 + 43218*u/11 + 489. Find m, given that a(m) = 0.
-147
Let z(c) be the third derivative of -c**6/360 - c**5/9 + c**4/72 + 10*c**3/9 - 430*c**2. Factor z(x).
-(x - 1)*(x + 1)*(x + 20)/3
Let q = 253/510 + 1/255. Solve 3/8*x**2 + 1/4*x**3 - 1/2 - 1/8*x**4 - q*x = 0 for x.
-1, 2
Let w(i) = 10*i**3 + i**2. Let a(t) = 5*t**4 + 15*t**3 + 35*t. Let d(s) = -a(s) + 5*w(s). Determine o so that d(o) = 0.
-1, 0, 1, 7
Factor -26/17*u**2 + 0 + 0*u**3 - 24/17*u + 2/17*u**4.
2*u*(u - 4)*(u + 1)*(u + 3)/17
Let l(u) be the third derivative of u**6/120 - u**5/30 - 3*u**2 + 11. Suppose l(d) = 0. Calculate d.
0, 2
Let k(g) be the third derivative of g**5/330 + 49*g**4/66 - 3*g**3 + g**2 + 167. Factor k(t).
2*(t - 1)*(t + 99)/11
Let t(w) be the first derivative of w**6/7 - 24*w**5/35 + 9*w**4/14 + 8*w**3/7 - 12*w**2/7 + 23. Suppose t(n) = 0. Calculate n.
-1, 0, 1, 2
Let o(h) be the first derivative of -h**4/12 - 67*h**3/18 + 89*h**2/6 - 12*h - 784. Determine x, given that o(x) = 0.
-36, 1/2, 2
Let k(n) be the first derivative of -n**6/120 + n**5/20 - n**4/8 + n**3/6 - n**2/8 + 2*n - 30. Let l(a) be the first derivative of k(a). Solve l(d) = 0 for d.
1
Let a(m) be the second derivative of 5*m**2 + 5/2*m**3 + 12*m + 0 + 5/12*m**4. Find i such that a(i) = 0.
-2, -1
Let d(y) be the first derivative of 8/3*y**3 + 10*y**2 + 23 + 8*y. Factor d(v).
4*(v + 2)*(2*v + 1)
Let r(x) be the second derivative of -x**5/50 - x**4/6 - 2*x**3/15 + 8*x**2/5 + 10*x - 17. Determine t so that r(t) = 0.
-4, -2, 1
Let g be 7/((-14)/8) + 1. Let l(h) = h**3 + 2*h**2 - 4*h - 1. Let y be l(g). What is n in -6*n**3 - 35*n + 17*n + 4*n**3 - 12*n**y = 0?
-3, 0
Let f(k) be the first derivative of 28*k**3 + 122*k**2 + 72*k + 96. Factor f(d).
4*(3*d + 1)*(7*d + 18)
Let l(y) = 3*y**2 + 10*y - 13. Let n(u) be the first derivative of -2*u**3 - 21*u**2/2 + 27*u + 4. Let m(k) = -9*l(k) - 4*n(k). Let m(o) = 0. Calculate o.
-3, 1
Let j(u) be the first derivative of u**4/26 - 4*u**3/3 + 13*u**2 + 33. Determine s, given that j(s) = 0.
0, 13
Let a(k) be the second derivative of -k**5/4 + 65*k**3/6 + 30*k**2 - 109*k. Let a(m) = 0. Calculate m.
-3, -1, 4
Suppose 6 = -2*z - 8. Let u = 9 + z. Determine v, given that -3*v**u - 4*v + 0*v**2 + 2*v**2 + v = 0.
-3, 0
Suppose -2*g - 6 = 2. Let b = 6 + g. Factor -9*t - 3 - t**2 - b*t**2 + 4 - 7.
-3*(t + 1)*(t + 2)
Let i = 10 - 10. Suppose i = z - 0 - 4. Factor -10*a**4 + 41*a**3 - a**z - 5*a**4 - 17*a**3 - 16*a**2 + 4*a**5 + 4*a.
4*a*(a - 1)**4
Suppose 4*d + 6 - 14 = 0. Let a be (-3)/((-84)/(-16)) - (-9)/9. Factor a*k**d + 12/7*k + 12/7.
3*(k + 2)**2/7
Let t be (-21)/(-70)*1/((-18)/(-4)). Let h(q) be the second derivative of 0*q**3 - 1/25*q**5 - 7*q + 0 - t*q**4 + 0*q**2. Find m, given that h(m) = 0.
-1, 0
Let a(l) be the third derivative of -l**6/40 - 31*l**5/60 - 5*l**4/12 + 90*l**2. Solve a(i) = 0.
-10, -1/3, 0
Let z(f) be the second derivative of -f**7/1120 + f**5/160 + 7*f**3/3 - 23*f. Let h(x) be the second derivative of z(x). Factor h(v).
-3*v*(v - 1)*(v + 1)/4
Let m(w) be the third derivative of -w**7/1050 + w**6/50 - 3*w**5/20 + 5*w**4/12 + 89*w**2. Factor m(u).
-u*(u - 5)**2*(u - 2)/5
Let d(l) be the second derivative of 0 + 1/2*l**2 - 1/3*l**3 + 2*l + 1/12*l**4. Let d(i) = 0. Calculate i.
1
Suppose 5*q = -0*q + 35. Let s = q + -2. Let 1 + 4*x**2 + 1/2*x**s - x**4 - 7/2*x - x**3 = 0. What is x?
-2, 1
Factor 107*b**4 - 100*b**2 - 58*b**4 - 54*b**4 + 45*b**3.
-5*b**2*(b - 5)*(b - 4)
Let z(k) be the second derivative of -k**8/4200 - k**7/700 + k**6/900 + k**5/100 - 9*k**3/2 - 15*k. Let q(r) be the second derivative of z(r). Factor q(h).
-2*h*(h - 1)*(h + 1)*(h + 3)/5
Let p(r) = 9*r**2 + 2425*r + 372110. Let n(h) = -13*h**2 - 3639*h - 558164. Let w(s) = -10*n(s) - 14*p(s). Factor w(c).
4*(c + 305)**2
Factor -2/17*j**2 - 10/17*j - 8/17.
-2*(j + 1)*(j + 4)/17
Suppose 4*n - 4 = 5*v + 36, 0 = -3*v - 5*n - 24. Let l = 8 + v. Factor -4*b + 7*b + l*b - 2*b**2 + 5*b**2.
3*b*(b + 1)
Let z(h) be the first derivative of 0*h**5 - 2*h**3 + 5 + 0*h**2 + 0*h**4 + 0*h + 1/720*h**6. Let q(p) be the third derivative of z(p). Factor q(k).
k**2/2
Let y(d) = -3*d**3 + 32*d**2 + 68*d. Let l(q) = 40*q**3 - 450*q**2 - 950*q. Let u(a) = 4*l(a) + 55*y(a). Solve u(o) = 0.
-6, -2, 0
Factor -18*c - 5*c + 10*c + 0*c**3 + c**3 - 12*c**2.
c*(c - 13)*(c + 1)
What is k in -34/5*k**2 + 34/5*k**3 + 2/5*k**5 - 14/5*k**4 + 0 + 12/5*k = 0?
0, 1, 2, 3
Suppose 0 = 3*d + 74 - 83. Let o(a) be the first derivative of 0*a**2 - d*a**4 + 3/2*a - 2 - 3*a**3 - 9/10*a**5. Find u such that o(u) = 0.
-1, 1/3
Let c(i) be the second derivative of -i**7/126 + i**6/15 - i**5/10 - 4*i**4/9 + 5*i**3/6 + 3*i**2 + 64*i. Determine u, given that c(u) = 0.
-1, 2, 3
Let q(k) = 28*k**4 + 328*k**3 + 1106*k**2 - 6480*k - 13. Let b(u) = 9*u**4 + 109*u**3 + 368*u**2 - 2160*u - 4. Let t(f) = 13*b(f) - 4*q(f). Solve t(l) = 0.
-12, 0, 3
Let a be 204/960 + (-3)/15. Let v(w) be the second derivative of -a*w**5 + 0*w**3 - 1/2*w**2 + 1/16*w**4 + 0 - 6*w. Factor v(o).
-(o - 2)**2*(o + 1)/4
Let w(m) = m**3 + 7*m**2 + m + 9. Let v be w(-7). Find a, given that a**3 + a**2 + 5*a**v + 4 + 9*a + 0 = 0.
-4, -1
Let u be (-5)/10 - (8 + 0). Let x = 9 + u. Determine n, given that 1/4*n**2 + 3/4*n + x = 0.
-2, -1
Let b(q) = 19*q + 119. Let z be b(-6). Let j be (-2 + z/4)/(-3). Let -1/4 - 1/4*x**3 + j*x + 1/4*x**2 = 0. Calculate x.
-1, 1
Let j(z) = z**3 + z + 2. Let b be j(0). Suppose 0 = 3*f + 3*a, 2*a + a = 5*f - 16. Determine v so that v**b - 5*v**2 + 3*v + 2*v**f - 5*v = 0.
-1, 0
Suppose 5*s + x = 4*x - 74, -2*x = -4*s - 58. Let o be (-24)/s - (-8)/52. Suppose 4*w**2 + 4*w**3 - 4*w**3 - 2*w**5 - 4*w**4 + o*w + 0*w**3 = 0. Calculate w.
-1, 0, 1
Let y be (-18)/(-3) + 21/9 + -8. Let q(s) be the first derivative of -4/5*s - 9 + y*s**3 + 4/5*s**2. Factor q(i).
(i + 2)*(5*i - 2)/5
Suppose 2*g + 31 = 3. Let u = -12 - g. Factor -5 + 36*w - 3 + 56*w**3 + 83*w**2 - 147*w**u - 24*w**4 + 4*w**5.
4*(w - 2)*(w - 1)**4
Let a(k) be the first derivative of k**5/80 - 6*k - 28. Let n(z) be the first derivative of a(z). Factor n(u).
u**3/4
Let q(g) be the second derivative of 2*g**5/75 + g**4/60 - 11*g**2/2 + 15*g. Let d(r) be the first derivative of q(r). Solve d(y) = 0 for y.
-1/4, 0
Let j(i) be the third derivative of 7*i**8/288 - 2*i**7/1