ird derivative of h**6/2880 - h**5/240 - 9*h**3/2 + 16*h**2. Let r(l) be the first derivative of p(l). Determine i so that r(i) = 0.
0, 4
Determine j so that 16/5*j + 0 - 1/5*j**3 + 0*j**2 = 0.
-4, 0, 4
Suppose -29 = -l - 5*s, -7 = 3*l + 4*s - 83. Let i be (-4)/32 - (-11)/l. Find b, given that b + b**2 + i + 1/3*b**3 = 0.
-1
Let y be (51/9 - 3)*24/16. Let f(h) be the second derivative of -5/8*h**3 - 3/4*h**2 + 3*h + 0 - 3/80*h**5 - 1/4*h**y. Factor f(z).
-3*(z + 1)**2*(z + 2)/4
Let v(b) be the first derivative of 1/36*b**4 - 2/3*b**2 + b - 2/9*b**3 - 3 + 1/60*b**5. Let i(t) be the first derivative of v(t). Factor i(h).
(h - 2)*(h + 1)*(h + 2)/3
What is m in -7/10 + 1/10*m**2 - 3/5*m = 0?
-1, 7
Let r(w) = 2*w**3 + 11*w**2 - 8*w - 10. Let i be r(-6). Let z(n) be the second derivative of -2*n + 0*n**i + 1/2*n**3 + 1/4*n**4 + 0. Factor z(x).
3*x*(x + 1)
Let r be (13 - 9)/(1/4). Suppose -u + 3 = 5*t - r, -4*t = -4*u + 4. Factor 2*z**2 - 18*z**3 + 36*z**3 - 14*z**t.
2*z**2*(2*z + 1)
Let m(l) be the second derivative of -l**5/4 + 10*l**4/3 + 95*l**3/6 + 25*l**2 - 8*l + 1. Factor m(n).
-5*(n - 10)*(n + 1)**2
Let w(f) be the first derivative of -37446*f**3 - 474*f**2 - 2*f + 48. Suppose w(l) = 0. What is l?
-1/237
Let d(l) be the third derivative of l**8/26880 - l**7/3360 + l**6/960 - 7*l**5/20 - 24*l**2. Let t(s) be the third derivative of d(s). Solve t(k) = 0 for k.
1
Factor 18/7 + 3/7*o**3 - 3*o + 0*o**2.
3*(o - 2)*(o - 1)*(o + 3)/7
Let i = -3436/861 + 394/41. Find w, given that 2*w - 48/7*w**4 - 160/21*w**5 + 20/3*w**2 + i*w**3 + 4/21 = 0.
-1, -2/5, -1/4, 1
Suppose -2*o = -7*o + 15. Let w = -1 + o. Let 4*m - 3*m**4 - 3*m**3 + 3*m**w - 9*m + 8*m = 0. What is m?
-1, 0, 1
Suppose l - 81 = -78. Factor -l*o + 127 + 38*o + 4*o**2 + 21*o + 69.
4*(o + 7)**2
Let h(o) be the first derivative of -o**6/27 - 52*o**5/45 + 115*o**4/18 - 296*o**3/27 + 20*o**2/3 - 581. Find w, given that h(w) = 0.
-30, 0, 1, 2
Let t(j) = -j - 5. Let l be t(-5). Suppose 36*c = k + 41*c - 2, -2 = -k + 5*c. Solve -1/4*i**3 + l + 1/2*i**k - 1/4*i = 0 for i.
0, 1
Let g(b) be the second derivative of b**7/84 - b**6/12 - 7*b**5/20 - b**4/12 + 13*b**3/12 + 7*b**2/4 + 2*b - 50. Factor g(w).
(w - 7)*(w - 1)*(w + 1)**3/2
Suppose 5*p = -4*p + 27. Determine m so that -5*m**4 + 9*m**3 - 25*m**p + 15*m**2 + 6*m**3 = 0.
-3, 0, 1
Let w(o) be the third derivative of -o**8/504 - o**7/27 + o**6/36 + 7*o**5/54 - o**4/9 + 231*o**2. Let w(x) = 0. What is x?
-12, -1, 0, 1/3, 1
Let m(a) be the second derivative of 1/5*a**5 + 14/3*a**3 + 0 + 5/3*a**4 + 6*a**2 + 24*a. Factor m(y).
4*(y + 1)**2*(y + 3)
Factor -2/3*b**3 - 2/3*b + 8/3*b**2 - 4.
-2*(b - 3)*(b - 2)*(b + 1)/3
Suppose -4*i - 29 = -3*w, 3*w + 16 = 2*i + 41. Determine y so that 3*y - 3*y + 9*y**2 + 2*y**4 + 4*y**3 - w*y**2 = 0.
-1, 0
Let a(p) be the first derivative of -2*p**3/27 - p**2 - 40*p/9 - 96. Let a(r) = 0. Calculate r.
-5, -4
What is x in 27/2*x + 3/2*x**2 - 3/2*x**3 - 27/2 = 0?
-3, 1, 3
Let u = -32 - -40. Let d(h) = 15*h**3 + 7*h**2 - 60*h - 52. Let t(o) = 10*o**3 + 5*o**2 - 40*o - 35. Let p(w) = u*t(w) - 5*d(w). Factor p(z).
5*(z - 2)*(z + 1)*(z + 2)
Let v(a) be the second derivative of 1/9*a**3 + 1/36*a**4 + 0*a**2 + 0 - 37*a. Solve v(w) = 0.
-2, 0
Determine y, given that -1185*y**2 + 1193*y**2 + 12*y**3 + 0*y**5 + 2*y**5 + 8*y**4 + 2*y = 0.
-1, 0
Let d be 2 + 0 + (-9)/(-3) + -3. What is m in -5*m**3 + 447*m**2 + 0*m**3 - 442*m**d = 0?
0, 1
Let l(x) be the first derivative of -x**5/5 + 2*x**4 - 7*x**3 + 9*x**2 + 145. Solve l(y) = 0 for y.
0, 2, 3
Let s(h) = -4*h**2 - 100*h + 16. Let k(r) be the third derivative of -r**5/60 - 5*r**4/6 + r**3/2 + 31*r**2. Let j(u) = 16*k(u) - 3*s(u). Factor j(g).
-4*g*(g + 5)
Let z be 2/(40/245) + -6. Let r(h) be the second derivative of 15/2*h**3 - 2*h + z*h**4 + 0 + 3*h**2. Determine m, given that r(m) = 0.
-2/5, -1/5
Let l(b) be the third derivative of -b**7/945 + b**5/90 + b**4/54 + b**2 - 15*b. Let l(f) = 0. Calculate f.
-1, 0, 2
Let v = -2/6327 + 25330/69597. Solve 1/11*f**3 + 0 - v*f - 1/11*f**4 + 4/11*f**2 = 0 for f.
-2, 0, 1, 2
Suppose -3*m = -3*u - 9, -4*u - 3*m + 25 = u. Factor -4 + 0*n**3 + n**3 - 4*n + 3*n**3 + 4*n**u.
4*(n - 1)*(n + 1)**2
Let j(x) = -x - 132. Let a be j(-8). Let f = a - -377/3. Solve 4*d - d**2 - f*d**3 - 4/3 = 0 for d.
-2, 2/5, 1
Let q(c) be the third derivative of -12*c**2 - 13/120*c**5 - 3/140*c**7 + 0 + 0*c**3 - 1/12*c**6 - 1/24*c**4 + 0*c. Solve q(y) = 0.
-1, -2/9, 0
Let -28/3*f**2 + 3536/3*f - 336 = 0. Calculate f.
2/7, 126
Let p(t) = 129*t - 124. Let m be p(1). Factor 4/3*c**2 - 4/3*c**3 + 2/3*c**m - 2/3 - 2/3*c**4 + 2/3*c.
2*(c - 1)**3*(c + 1)**2/3
Let n be ((-2)/4)/(2/(-1)). Let j = -2233/17 - -4483/34. Factor -3/4*d + n*d**2 + j.
(d - 2)*(d - 1)/4
Let i = 13 + -27. Let l = 16 + i. Factor -20*o + 3 + 2*o**3 - 7*o**4 + 21*o**l + 0*o**3 - 2 + 3.
-(o - 1)**2*(o + 2)*(7*o - 2)
Let x(y) be the first derivative of 1 + 1/4*y**4 - 3/10*y**5 + 0*y**2 - 5*y + 0*y**3 - 1/8*y**6. Let w(j) be the first derivative of x(j). Factor w(b).
-3*b**2*(b + 2)*(5*b - 2)/4
Let j(k) be the third derivative of k**8/336 - 2*k**7/105 - k**6/40 + k**5/6 + k**4/3 - 3*k**2 + 4. Solve j(f) = 0 for f.
-1, 0, 2, 4
Let c be (-1)/4*(-32)/15. Let s be (-20)/375*(-20)/2. What is l in s - c*l - 2/5*l**2 = 0?
-2, 2/3
Let l(q) = -3*q**4 - q**3 - q**2. Let x(i) = 3*i**5 - 23*i**4 - 8*i**3 + 7*i**2 + 4*i. Let d(v) = -5*l(v) + x(v). Solve d(a) = 0 for a.
-1, -1/3, 0, 2
Suppose 4*n = -3*f + 63, 4*n + 0*n + 5*f = 73. Let -9*a + 0 - 2 + 8 - n*a**2 + 15*a**2 = 0. What is a?
1, 2
Let v(y) be the second derivative of 3*y**6/5 + 49*y**5/20 + 19*y**4/12 - 8*y**3/3 - 2*y**2 - 6*y + 23. Determine q, given that v(q) = 0.
-2, -1, -2/9, 1/2
Let h = -10 + 12. Let t(m) = 3*m**3 - 5*m**2 + 3*m + 1. Let x be t(1). Suppose 2*j**3 - h*j**4 + 1/2*j**5 + 0*j + 0 + 0*j**x = 0. What is j?
0, 2
Suppose -5*w - 5*o - 5 = 5, 5*o + 25 = 0. Let i = -104 - -730/7. Determine n, given that 0*n + 2/7*n**w + 0 + i*n**2 = 0.
-1, 0
Let q(t) be the third derivative of 0*t**4 + 1/6*t**3 + 0 + 0*t - 11*t**2 - 1/240*t**5. Factor q(c).
-(c - 2)*(c + 2)/4
Let d = -1/237 - -29/632. Let q(c) be the second derivative of 0*c**2 - 1/6*c**3 + 0 - 4*c - d*c**4. Factor q(f).
-f*(f + 2)/2
Let h = -2 - -6. Factor 13*g**2 - 3*g**h - 27 - 4*g**2 + 12*g + 15 - 6*g**3.
-3*(g - 1)**2*(g + 2)**2
Let g(b) be the second derivative of b**7/420 + b**6/120 + b**5/120 + 8*b**2 + 16*b. Let x(y) be the first derivative of g(y). Determine m so that x(m) = 0.
-1, 0
Let z(k) = -5*k**3 + k**2 + 6*k. Let r(b) = -5*b**3 - b**2 + 4*b. Let f(q) = -3*r(q) + 2*z(q). Find a such that f(a) = 0.
-1, 0
Let b(s) = -49*s**4 + 56*s**3 + 10*s**2 - 16*s - 9. Let g(i) = -48*i**4 + 57*i**3 + 10*i**2 - 17*i - 8. Let c(n) = -3*b(n) + 4*g(n). What is m in c(m) = 0?
-1/3, 1
Let b(h) = 16*h**3 - 32*h**2 + 56*h - 40. Let s(g) = -g**3 + g**2 - g + 1. Let u(a) = -b(a) - 20*s(a). Factor u(x).
4*(x - 1)**2*(x + 5)
Let v(d) be the second derivative of 2*d + 1/9*d**3 + 0*d**2 - 1/36*d**4 + 0. Suppose v(l) = 0. Calculate l.
0, 2
Let z = -14 + 26. Let l = z - 9. Let 2*t**4 - 2*t**2 + 12*t**3 - 7*t**4 - 3*t**4 - 2*t**l = 0. Calculate t.
0, 1/4, 1
Let h(o) = -2*o + 10. Let r be h(4). Factor 7*t**3 + 7 - r*t**3 + 20*t**2 - 25*t + 3 - 10*t**3.
-5*(t - 2)*(t - 1)**2
Let h(p) = 5*p**3 + 375*p**2 + 7215*p + 6805. Let b(q) = -2. Let f(s) = -20*b(s) + h(s). Determine k, given that f(k) = 0.
-37, -1
Let -721*r**2 + 324*r**4 + 180*r**3 + 737*r**2 + 60*r**3 = 0. What is r?
-2/3, -2/27, 0
Let h(v) = -5*v - 37. Let x be h(-8). Let n(r) be the third derivative of 1/20*r**5 + 4*r**2 - 2*r**x - 3/8*r**4 + 0 + 0*r. Determine m so that n(m) = 0.
-1, 4
Let k(p) = -15*p**2 - 12*p + 7. Let h(c) = c - 1. Let m be 160/(-14) + 3/7. Let y(t) = -t - 13. Let g be y(m). Let v(w) = g*h(w) - k(w). Solve v(s) = 0.
-1, 1/3
Let z = -3229 + 3232. Let c be (-2)/(-3) - (-16)/6. Factor 0 + 2*v**2 + 4/3*v - c*v**z.
-2*v*(v - 1)*(5*v + 2)/3
Let -32*i**3 - 108 + 13*i**5 + 54*i - 7*i**5 + 20*i**4 + 72*i**2 - 8*i**5 - 36*i**3 = 0. What is i?
-1, 2, 3
Suppose -2*u = 4*l - 14, 516*l - 512*l - 3*u - 19 = 0. Factor 1/2*k**5 + 0 + 0*k - 2*k**2 + l*k**3 - 5/2*k**4.
k**2*(k - 2)**2*(k - 1)/2
Let f(s) be the second derivative of 1/78*s**4 + 0*s**2 + 5*s +