5*l**3. Find d such that y(d) = 0.
-2, -1, 0, 1
Let p(w) be the first derivative of 2/3*w**3 + 3 + 0*w - 1/2*w**4 + w**2 - 2/5*w**5. Factor p(i).
-2*i*(i - 1)*(i + 1)**2
Let m(u) = -u - 11. Let k be m(-11). Suppose k*z - 8 = -2*z. Factor 4*g + g - z*g + g**5 - 4*g**4 - 4*g**2 + 6*g**3.
g*(g - 1)**4
Suppose -2*h = -h + g - 10, 7*h - 20 = 3*g. Let w(m) be the first derivative of 0*m**3 - h + 0*m**2 + 1/8*m**4 + 1/10*m**5 + 0*m. What is o in w(o) = 0?
-1, 0
Factor 1/3*g**2 + 1 + 5/3*g - 1/3*g**3.
-(g - 3)*(g + 1)**2/3
Let g(c) = 10*c + 50. Let u be g(-5). Let h be (2 - -1) + 10/50 + u. Factor 21/5*i**2 + 4/5 - h*i - 9/5*i**3.
-(i - 1)*(3*i - 2)**2/5
Let n = 41 + -36. Suppose 3*z + 6 = 5*l + 3, -29 = -3*l - n*z. Suppose -3*x**2 - 3/2 - 15/4*x - 3/4*x**l = 0. Calculate x.
-2, -1
Let p(w) be the first derivative of w**6/36 + w**5/10 - 5*w**4/12 + w**3/9 + 3*w**2/4 - 5*w/6 - 104. Solve p(d) = 0.
-5, -1, 1
Let p(n) be the second derivative of n**6/10 - 51*n**5/20 + 93*n**4/4 - 175*n**3/2 + 147*n**2 - 10*n + 3. Determine z so that p(z) = 0.
1, 2, 7
Let j = -2639 + 2649. Let w(r) be the second derivative of 0*r**2 + 0 + 0*r**4 - 3/20*r**5 + 1/2*r**3 - j*r. Factor w(v).
-3*v*(v - 1)*(v + 1)
Let f(u) be the third derivative of u**8/112 - u**7/35 - 3*u**6/40 + 2*u**5/5 - u**4/2 - 2*u**2 - 25. Find b, given that f(b) = 0.
-2, 0, 1, 2
Let b = 584/6375 - 9/125. Let h = b - -1069/102. Factor -3*m**4 - 3/2*m**5 + h*m + 3*m**3 + 3 + 12*m**2.
-3*(m - 2)*(m + 1)**4/2
Let m(t) = 8*t**2 + 199*t + 28. Let v(x) = -28*x**2 - 696*x - 96. Let y(r) = -24*m(r) - 7*v(r). Solve y(p) = 0 for p.
-24, 0
Let g(r) = -25*r + 76. Let s be g(3). Let v(y) be the first derivative of 0*y - 1/4*y**2 - 1/12*y**3 - s. Find d, given that v(d) = 0.
-2, 0
Let v(s) be the first derivative of 2*s**3/15 - 3*s**2/5 - 8*s/5 - 220. Factor v(l).
2*(l - 4)*(l + 1)/5
Let h be ((-5)/60)/((-15)/48). Let x(k) be the first derivative of -4 + 7/12*k**4 - h*k**5 - 2/9*k**3 + 0*k - 1/6*k**2. Factor x(o).
-o*(o - 1)**2*(4*o + 1)/3
Let q(v) = -4 - 3*v - 9 - 3*v**2 - 7. Let c(w) = w**2 + w + 10. Let m(y) = -13*c(y) - 6*q(y). Factor m(d).
5*(d - 1)*(d + 2)
Let v(z) be the second derivative of 1/24*z**5 - 7/72*z**4 + 0*z**2 + 4*z + 1/12*z**3 - 6 - 1/180*z**6. Factor v(h).
-h*(h - 3)*(h - 1)**2/6
Let m be (4 + -5)/((-3)/9). Let q(g) be the second derivative of -g**2 + 4*g + 0 + 5/3*g**m - 23/24*g**4 + 7/40*g**5. Solve q(o) = 0.
2/7, 1, 2
Factor 0 - 2*g**2 - 2/3*g**4 + 2/3*g**5 - 10/3*g**3 + 0*g.
2*g**2*(g - 3)*(g + 1)**2/3
Let u(b) = -15*b. Let i be (-2)/(-3)*(-3)/2. Let f be u(i). Factor 36*w**3 + 2 - 36*w + 31*w**4 - 3*w**4 - w**4 - f*w**2 - 14.
3*(w - 1)*(w + 1)*(3*w + 2)**2
Let d(q) be the second derivative of q**6/10 - 11*q**5/20 - 37*q**4/12 - 29*q**3/6 - 3*q**2 + 23*q. Solve d(g) = 0.
-1, -1/3, 6
Let a be (4 - 0) + -1 - 3. Suppose a = -13*q + 14*q - 27. Factor -110*i**2 - 84*i**4 + 183*i**3 - 28*i**2 + 12*i**5 + q*i + 12*i**2.
3*i*(i - 3)**2*(2*i - 1)**2
Let 171 - 5*f**3 + 335*f**2 + 208 - 19 - 655*f - 35 = 0. What is f?
1, 65
Let c(q) be the third derivative of -q**7/7560 + q**5/360 + q**4/24 - 7*q**2. Let t(y) be the second derivative of c(y). Determine j, given that t(j) = 0.
-1, 1
Suppose 4*w - 20 = -w. Determine q so that -13*q - q + w*q**4 - 9*q**2 - 4*q**3 - 7*q**2 + 2*q**5 - 4 = 0.
-1, 2
Let r(h) be the second derivative of -h**7/84 + h**6/30 - h**4/12 + h**3/12 + 185*h. What is x in r(x) = 0?
-1, 0, 1
Let y(g) be the third derivative of 7*g**8/480 + g**7/60 - g**6/15 + g**5/15 + 7*g**4/8 + 4*g**2. Let i(o) be the second derivative of y(o). Factor i(z).
2*(z + 1)*(7*z - 2)**2
Let t(z) be the first derivative of z**3 - 15*z**2/2 + 12*z - 28. What is r in t(r) = 0?
1, 4
Let n(v) be the second derivative of -v**4/16 + 43*v**3/4 - 44*v + 6. Determine l so that n(l) = 0.
0, 86
Let g(s) be the first derivative of s**8/280 - s**7/80 + s**6/80 - 10*s**3 + 34. Let t(w) be the third derivative of g(w). Determine l so that t(l) = 0.
0, 3/4, 1
Suppose 20/3 - 26/9*j - 32/9*j**2 - 2/9*j**3 = 0. Calculate j.
-15, -2, 1
Let w = -146584/7 + 20875. Let n = -65 - w. Solve 0 - n*x + 2/7*x**2 = 0 for x.
0, 2
Let v(q) be the third derivative of 0*q - 1/30*q**5 - 1/300*q**6 + 0*q**3 + 0 - 11*q**2 - 1/10*q**4. Let v(w) = 0. Calculate w.
-3, -2, 0
Let -4*a**3 + 104*a + 37*a + 206*a + 5*a**3 - 175*a**2 - 173 = 0. Calculate a.
1, 173
Let a(n) be the first derivative of -21 + 98/5*n - 14/5*n**2 + 2/15*n**3. Factor a(s).
2*(s - 7)**2/5
Let c(r) be the first derivative of -r**4/8 + 4*r**3/3 - 9*r**2/4 - 9*r + 76. Solve c(y) = 0 for y.
-1, 3, 6
Let w(a) = 5*a**3 + 10*a**2 - 2. Let c(s) = -12*s**3 - 19*s**2 + 5. Let q(x) = -2*c(x) - 5*w(x). Suppose q(v) = 0. Calculate v.
-12, 0
Let t = 353 + -353. Let n(h) be the third derivative of -1/360*h**6 + 0 + 0*h**3 + 0*h + t*h**5 + h**2 + 0*h**4. What is q in n(q) = 0?
0
Let j = 22 + -17. Suppose 17*g**j - 6*g**3 + 25*g**4 - 10*g**4 + 4*g**5 = 0. Calculate g.
-1, 0, 2/7
Let m be (-2)/30*(-1*6 - -1). Let k(f) be the second derivative of 4*f + 0 + m*f**4 + 0*f**2 - 1/3*f**3 - 1/10*f**5. Solve k(z) = 0 for z.
0, 1
Let c(g) = g**3 - 2*g**2 + 21*g - 4. Let o(z) = 3*z**3 - 9*z**2 + 84*z - 18. Let p(x) = -15*c(x) + 4*o(x). Factor p(q).
-3*(q - 1)**2*(q + 4)
Let i(q) = -18*q**4 - 13*q**3 + 35*q**2 - 14*q - 2. Let d(a) = -19*a**4 - 13*a**3 + 35*a**2 - 18*a - 3. Let w(c) = -2*d(c) + 3*i(c). Factor w(b).
-b*(b - 1)*(b + 2)*(16*b - 3)
Let o = 249 + -246. Let h(y) be the second derivative of 0*y**2 + 7*y + 0 + 0*y**o + 1/90*y**5 + 1/135*y**6 - 1/27*y**4. Factor h(t).
2*t**2*(t - 1)*(t + 2)/9
Suppose 0*p = 4*p. Let w be (-1)/(p - -1)*(-1 - -1). Factor -2/9*t**3 + w + 2/9*t + 0*t**2.
-2*t*(t - 1)*(t + 1)/9
Solve 52/3*l**4 - 8*l - 170/3*l**3 + 14/3*l**5 + 128/3*l**2 + 0 = 0 for l.
-6, 0, 2/7, 1
Let h = 8 + 34. Let p be (2 + -1)/(6/h). Determine l, given that 2*l**4 + 3*l**5 - 5 + 2*l**5 - p*l**4 + 10*l**2 - 3*l**3 + 5*l - 7*l**3 = 0.
-1, 1
Let l = 40681/6 - 6780. Factor 1/3 + l*u - 1/6*u**2.
-(u - 2)*(u + 1)/6
Suppose 13*h - 1154 = -361. Let i = 65 - h. Determine o, given that -2/11*o**2 + 2/11*o**5 + 0 + 2/11*o**i + 0*o - 2/11*o**3 = 0.
-1, 0, 1
Let x(b) be the third derivative of -b**7/840 + 17*b**6/480 - 7*b**5/30 + 13*b**4/24 - 235*b**2. Suppose x(t) = 0. Calculate t.
0, 2, 13
Let w = 770/3 + -259. Let z = w - -8/3. Factor 1/3*t + 0 + z*t**2.
t*(t + 1)/3
Suppose -2*c - 2*s + 8 = 0, -c - 10 = -5*s - 2. Factor 9/8*h - 3/4 + 0*h**c - 3/8*h**3.
-3*(h - 1)**2*(h + 2)/8
Let v = -426 + 428. Solve -3/5*z**3 + 3/5*z - 6/5 + 6/5*z**v = 0 for z.
-1, 1, 2
Suppose 5 = -j, -j = -2*y + j + 14. Let f(k) be the first derivative of -1/9*k**3 - 1/3*k - 7 + 1/3*k**y. Factor f(d).
-(d - 1)**2/3
Let g(n) be the first derivative of n**6/42 + 11*n**5/35 + 43*n**4/28 + 23*n**3/7 + 18*n**2/7 - 45. Suppose g(p) = 0. Calculate p.
-4, -3, -1, 0
Let r(b) be the third derivative of b**6/810 - b**5/270 - 7*b**3/3 - 6*b**2. Let n(i) be the first derivative of r(i). Solve n(s) = 0.
0, 1
Let o(a) be the first derivative of -a**4/16 - 13*a**3/24 - a**2/2 - 3*a + 10. Let f(q) be the first derivative of o(q). Factor f(m).
-(m + 4)*(3*m + 1)/4
Determine a, given that -7760/3*a**2 - 74/3*a**4 - 9248/3 + 1/3*a**5 + 14416/3*a + 1576/3*a**3 = 0.
2, 34
Let r(n) be the first derivative of -n**4/9 - 20*n**3/9 - 50*n**2/3 - 5*n + 13. Let g(o) be the first derivative of r(o). Factor g(f).
-4*(f + 5)**2/3
Determine c, given that 3*c**5 - 48*c + 14*c**4 - 19*c**4 - 43*c**4 + 72*c**3 + 2*c**5 + 4*c**5 = 0.
-2/3, 0, 2
Let f(k) be the second derivative of 0*k**6 - 1/80*k**5 + 1/48*k**3 + 0*k**4 + 0 + 1/336*k**7 + 26*k + 0*k**2. Let f(v) = 0. Calculate v.
-1, 0, 1
Let p be (5 + -6)*(-3 + 2). Let s be 4 + (p + -1)/(-3). Factor -2/5*z**5 + 2/5*z + 0 + 4/5*z**2 - 4/5*z**s + 0*z**3.
-2*z*(z - 1)*(z + 1)**3/5
Let h(m) be the first derivative of -15*m**2 + 0*m**4 + 26 - m**5 + 0*m + 35/3*m**3. Factor h(s).
-5*s*(s - 2)*(s - 1)*(s + 3)
Suppose 14*u - 15*u - p - 2 = 0, 3*p = -u - 16. Determine o so that 4/17*o**2 - 4/17*o**3 - 2/17*o**4 + 2/17*o**u - 2/17 + 2/17*o = 0.
-1, 1
Let z(w) = -6*w**2 + 37*w - 446. Let r(t) = -5*t**2 + 38*t - 445. Let f(g) = -5*r(g) + 4*z(g). Factor f(i).
(i - 21)**2
Let n(h) be the third derivative of 0*h + 0 - 1/78*h**4 + 0*h**