he third derivative of 2*o**7/21 + 3*o**6/8 - 13*o**5/6 + 15*o**4/8 + 10*o**3/3 - 74*o**2. Let j(y) = 0. Calculate y.
-4, -1/4, 1
Determine u so that -3 - 10*u**2 + 2*u**3 - 23/2*u = 0.
-1/2, 6
Let l be ((-17)/51)/(1*1/(-6)). Factor 2*t**4 + 16*t**3 - 4 - 45*t**2 + 16*t**l - 5*t**4 + 20*t.
-(t - 2)**2*(t - 1)*(3*t - 1)
Factor -5*g**4 + 5671 + 10*g - 25*g**2 + 20*g**3 - 5671.
-5*g*(g - 2)*(g - 1)**2
Solve -492 - 1106*p**2 + 21*p**5 + 288*p**4 - 122 + 14 + 1365*p**3 + 1260*p + 3632*p**2 = 0.
-5, -2, 2/7
Let c be 19 + 189/(-14) + -5. Suppose -5*z + 35 = 5*o, 0 = -2*z - 3*z + 2*o. What is k in -k**z + 1/2*k**4 + 0 + 0*k - c*k**3 = 0?
-1, 0, 2
Suppose -3*l = -2*q - 858, 4*l + 6*q - 1161 = 3*q. Determine i so that 33*i**2 - l*i - i**2 - 2*i**3 + 160*i = 0.
0, 8
Let n(r) be the second derivative of -r**7/56 + r**6/20 - r**5/40 - 8*r**3/3 + 7*r. Let v(u) be the second derivative of n(u). Solve v(f) = 0.
0, 1/5, 1
Let p = -274 - -1554. Find r, given that -1288*r**2 + 28*r**4 - 5*r + p*r**2 + 5*r - 20*r**3 = 0.
-2/7, 0, 1
Let m = 30 + -89/3. Let y(g) be the first derivative of -g**2 + 0*g + m*g**6 + 0*g**4 - 4/3*g**3 - 3 + 4/5*g**5. Factor y(t).
2*t*(t - 1)*(t + 1)**3
Let i = 9 + -10. Let s = i + 4. Solve v**2 - 13*v**2 + 8*v - 3*v + s*v**3 + 10*v - 6 = 0 for v.
1, 2
Let b(a) be the second derivative of -1/45*a**5 + 1/135*a**6 + 1/54*a**4 + 0*a**2 + 0 + 16*a + 0*a**3. Factor b(z).
2*z**2*(z - 1)**2/9
Suppose 0*g - 95 = -5*f - 5*g, 3*g = -5*f + 93. Suppose -f = -5*z - z. Factor -10/7*a**z + 6/7*a**4 + 0 + 2/7*a**2 + 2/7*a.
2*a*(a - 1)**2*(3*a + 1)/7
Let a(q) = -20*q**3 + 65*q**2 + 55*q - 25. Suppose 3 = -10*c + 7*c. Let j(m) = -m**3 + m**2 - m - 1. Let g(y) = c*a(y) + 25*j(y). Determine h so that g(h) = 0.
-4, 0
Let s be ((-9)/(-15))/(3/(-15)). Let f = 6 + s. Factor -52*k + 0*k**f + 3*k**3 + 55*k + 6*k**2.
3*k*(k + 1)**2
Let l = -149 + 166. Suppose -34 = -34*y + l*y. Determine s so that -11/3*s + 1/3*s**5 - 1/3*s**4 - 2*s**3 + 1 + 14/3*s**y = 0.
-3, 1
Let x(s) be the third derivative of s**7/315 - 2*s**6/45 - 2*s**5/15 + 20*s**4/9 + 128*s**3/9 + s**2 - 272*s. Factor x(m).
2*(m - 8)*(m - 4)*(m + 2)**2/3
Let j(o) be the second derivative of 2*o**4/9 - 11*o**3/18 + o**2/2 + 3*o - 1. What is d in j(d) = 0?
3/8, 1
Suppose -5*x + x = 0. Suppose x = 2*v - 5*v + 12. Factor -12*q**4 + 18*q + 2*q**5 + 8 - v*q**2 + 28*q**3 - 28*q**2 - 12.
2*(q - 2)*(q - 1)**4
Let o(y) be the first derivative of -13*y**3 - 48*y**2 - 36*y - 582. Factor o(t).
-3*(t + 2)*(13*t + 6)
Let f(s) be the second derivative of -3*s**5/160 + s**4/16 + 9*s**3/16 - 27*s**2/8 + 4*s + 18. Solve f(q) = 0 for q.
-3, 2, 3
Let f(t) = -t**3 + t + 4. Let p be 0/9*1/(-2). Let z be f(p). Factor x**5 + 16*x**4 - z*x**4 - 48*x - 48*x**2 + 4*x**5 - 2*x**5.
3*x*(x - 2)*(x + 2)**3
Suppose 9*u = 7*u + 24. Suppose -3*y - 8*m + 12 = -u*m, 0 = -2*y + m + 8. Find j such that -1/3*j**y - 8*j - 22/3*j**2 - 8/3*j**3 - 3 = 0.
-3, -1
Solve 2/3*y + 0 + 2*y**3 - 2*y**2 - 2/3*y**4 = 0.
0, 1
Let v(m) = 7*m**3 + 45*m**2 + 133*m + 137. Let q(j) = 190*j**3 + 1215*j**2 + 3590*j + 3700. Let z(x) = -2*q(x) + 55*v(x). What is p in z(p) = 0?
-3
Let y(x) be the second derivative of 1/180*x**6 + 2*x**2 + 0 - 4*x + 0*x**4 + 0*x**3 + 1/45*x**5. Let n(c) be the first derivative of y(c). Factor n(q).
2*q**2*(q + 2)/3
Let i be ((-2)/(-6))/(-1 - (-217)/126). Find x such that 2/13*x**5 - 4/13*x**2 - 2/13 + 4/13*x**3 - 6/13*x + i*x**4 = 0.
-1, 1
Let u(j) be the first derivative of 2*j**3 - 38*j**2/3 + 16*j/3 + 19. Determine f, given that u(f) = 0.
2/9, 4
Let a(v) = -3*v - 4. Let u be a(-2). Factor u*d**2 - 44*d**2 + 87*d - 119*d - 8 - 18*d**3.
-2*(d + 1)*(3*d + 2)**2
Let s(c) = -c**3 - 8*c**2 - 16*c - 3. Let q(w) = -w**2 + 2*w + 1. Let p(l) = -6*q(l) - 2*s(l). Factor p(n).
2*n*(n + 1)*(n + 10)
Let x(h) be the third derivative of h**5/15 + 2*h**4/3 - 8*h**3 - 4*h**2 + 10*h. Find i such that x(i) = 0.
-6, 2
Let i(c) = 2*c**2 - 16*c + 19. Let t be i(7). Suppose 0 + 0*n**2 - 7/8*n**t + 1/4*n**3 + 0*n + 5/8*n**4 = 0. What is n?
-2/7, 0, 1
Let v(h) be the third derivative of -5*h**8/12096 + h**6/540 + 13*h**5/30 + 3*h**2. Let m(a) be the third derivative of v(a). Suppose m(b) = 0. Calculate b.
-2/5, 2/5
Let n(f) be the third derivative of -f**7/1120 + f**6/288 - f**5/240 - f**3/6 - 9*f**2. Let g(x) be the first derivative of n(x). Factor g(t).
-t*(t - 1)*(3*t - 2)/4
Suppose -k = 4*o - 21, -4*o + 15 = 6*k - 3*k. Let n(w) be the third derivative of 0 - 1/330*w**5 + 0*w**3 + 0*w + o*w**2 - 1/132*w**4. What is b in n(b) = 0?
-1, 0
Let l(o) = -o**3 + 11*o**2 - 16*o - 21. Let k be l(9). Let r be k/6 - (0 + (-34)/20). Factor 0*m**2 - 2/5*m**3 + r*m - 4/5.
-2*(m - 1)**2*(m + 2)/5
Factor -318 + 3*c + 8*c**2 + 194 - 164*c - 83*c.
4*(c - 31)*(2*c + 1)
Suppose 79*o = 76*o + 2*u + 22, -5*u = o + 21. Determine r, given that 3/4*r**o + 15/4*r**3 + 3/2 + 27/4*r**2 + 21/4*r = 0.
-2, -1
What is o in 139 - 4*o**2 + 32*o - 206 + 103 = 0?
-1, 9
Let l(p) be the second derivative of 1/30*p**5 + 1/3*p**3 + 0*p**2 + 5/12*p**4 + 0 + 1/900*p**6 - 2*p. Let m(n) be the second derivative of l(n). Factor m(v).
2*(v + 5)**2/5
Let y = -54 - -57. Let u be (-2 + 29/15)*(-3 - y). Factor u*a**2 - 2/5 + 0*a.
2*(a - 1)*(a + 1)/5
Factor 0*z**4 + 0 + 0*z + 18/7*z**3 + 0*z**2 - 2/7*z**5.
-2*z**3*(z - 3)*(z + 3)/7
Let j be (-33)/(-44) + 2/8. Let w be 26 - (3 + -5)*j. Factor 12 + 75*d**2 - 63*d - 25*d + w*d.
3*(5*d - 2)**2
Let t(d) = -4*d**2 - 38*d - 202. Suppose 13 = 2*f + 9. Let p(w) = 9*w**2 + 75*w + 405. Let u(z) = f*p(z) + 5*t(z). Factor u(l).
-2*(l + 10)**2
Let f(d) be the second derivative of d**7/7 - 14*d**6/15 + 13*d**5/10 + 3*d**4 - 20*d**3/3 - 8*d**2 + 3*d. Factor f(i).
2*(i - 2)**3*(i + 1)*(3*i + 1)
Let g(z) = -8*z**3 - 68*z**2 - 146*z - 34. Let x(s) = -8*s**3 - 69*s**2 - 147*s - 35. Let p(c) = -3*g(c) + 2*x(c). Solve p(h) = 0.
-4, -1/4
Let y(u) be the third derivative of -u**8/3360 - 11*u**7/2100 - 7*u**6/200 - 7*u**5/60 - 53*u**4/240 - u**3/4 + 99*u**2 - 1. Factor y(t).
-(t + 1)**3*(t + 3)*(t + 5)/10
Let w(c) be the first derivative of -4 + 1/10*c**4 - 8/15*c**3 - 4/5*c + c**2. Factor w(p).
2*(p - 2)*(p - 1)**2/5
Let p be 3 + (0 - 0)/3. Let 12*b + b**3 + 11 - 1 - 2 + 0*b**p + 6*b**2 = 0. What is b?
-2
Let t(q) be the third derivative of 1/108*q**6 + 8/27*q**3 - q**2 - 1/135*q**5 + 0*q + 0 - 5/27*q**4. Factor t(l).
2*(l - 2)*(l + 2)*(5*l - 2)/9
Let d(c) be the first derivative of 2*c**5/5 + 15*c**4/2 - 34*c**3 + 53*c**2 - 36*c - 337. Factor d(f).
2*(f - 1)**3*(f + 18)
Let l(m) be the second derivative of -m**6/120 + m**5/20 - m**4/12 + 4*m**2 - 3*m. Let u(s) be the first derivative of l(s). Find x, given that u(x) = 0.
0, 1, 2
Let a be 4 + (1 - 1 - (-234)/(-6)). Let s = a + 176/5. Factor -2*v**2 - 4/5*v**3 - s*v + v**5 + 8/5*v**4 + 2/5.
(v - 1)*(v + 1)**3*(5*v - 2)/5
Let p = 2723/20 - 136. Let v = p - 1/20. Factor 9/10*o + 27/10*o**3 - v - 27/10*o**2.
(3*o - 1)**3/10
Suppose 90*v = 107*v - 51. Factor 2/11*t - 2/11*t**v + 6/11 - 6/11*t**2.
-2*(t - 1)*(t + 1)*(t + 3)/11
Suppose -18800*s**2 + 18808*s**2 + 73*s - 14 - 19*s = 0. What is s?
-7, 1/4
Let r(w) be the second derivative of 3*w**5/20 - 2*w**4 - w**3/2 + 12*w**2 - 22*w - 6. Factor r(j).
3*(j - 8)*(j - 1)*(j + 1)
Let d(m) be the second derivative of m**5/50 - 43*m**4/30 - 136*m**3/15 - 92*m**2/5 + 28*m - 7. Factor d(u).
2*(u - 46)*(u + 1)*(u + 2)/5
Let f = -1541/140 - -223/20. Determine n, given that 9/7 + n**2 - 15/7*n - f*n**3 = 0.
1, 3
Suppose 2/13*h**2 - 14/13*h - 2/13*h**4 + 0 + 14/13*h**3 = 0. What is h?
-1, 0, 1, 7
Let y(o) be the first derivative of o**3/3 + 8*o**2 + 64*o + 594. Solve y(u) = 0.
-8
Let f = 1 - -4. Suppose 4*g + d = 13, d + d = f*g. Solve -2*t**g - 4/3 - 10/3*t = 0 for t.
-1, -2/3
Let n(s) be the first derivative of s**7/252 - s**5/30 - s**4/36 + s**3/12 + s**2/6 - 2*s + 4. Let h(f) be the first derivative of n(f). Factor h(i).
(i - 2)*(i - 1)*(i + 1)**3/6
Solve -26/11*i**2 - 2/11*i**3 - 52/11*i + 80/11 = 0 for i.
-10, -4, 1
Let k be (6/12)/((-30)/(-12)) + 0. Factor -4/5*w**3 - 2/5*w - k*w**4 - w**2 + 0.
-w*(w + 1)**2*(w + 2)/5
Let k(h) = 5*h + 3. Let o be k(13). Suppose 151*s**4 - 38*s**4 + 14*s**5 + 54*s + 20 - 80*s**2 - o*s**3 - 53*s**4 = 0. What is s?
-5, -1, -2/7, 1
Let z = -29 - -33. Suppose 3