6/11*v**3 = 0.
-3, 22
Let z(u) be the second derivative of -u**6/105 - u**5/35 + 5*u**4/42 + 2*u**3/7 - 162*u. What is h in z(h) = 0?
-3, -1, 0, 2
Suppose 4 = 6*u - 26. Suppose 2*o - 6 = 4*w - w, -3*w + 15 = u*o. Factor 2*k**o - k + 2 - 2*k**2 + 0 - k**3 + 0*k**2.
(k - 2)*(k - 1)*(k + 1)
Let -4/3*p**3 + 1/3*p**4 - 5/3*p**2 + 0*p + 0 = 0. What is p?
-1, 0, 5
Let r = -112 - -162. Suppose 5*p + t - r = 2*t, -t = 5*p - 60. Factor 8*b - b**3 - 2*b**3 - p*b + 6*b**2.
-3*b*(b - 1)**2
Let i(c) be the first derivative of c**4/14 - 16*c**3/21 - c**2/7 + 16*c/7 + 36. Find t such that i(t) = 0.
-1, 1, 8
Factor 0*x - 110/17*x**3 + 0 - 6/17*x**4 + 76/17*x**2.
-2*x**2*(x + 19)*(3*x - 2)/17
Factor -50*p**2 + 12*p + 5*p**2 + 24*p**3 - 8*p - 4*p - 6*p.
3*p*(p - 2)*(8*p + 1)
Suppose 3*a = 3*w + 20 + 10, 3*w = -5*a + 18. Suppose 0 = -a*i + 3 + 15. Solve 0 - 2 + 2 + i*p - p**2 = 0.
0, 3
Let b(x) be the second derivative of -x**7/42 - 2*x**6/15 - 3*x**5/20 + x**4/3 + 2*x**3/3 - 45*x. Factor b(g).
-g*(g - 1)*(g + 1)*(g + 2)**2
Let q(t) = t**2 + 65*t + 70. Let k(m) = -9*m**2 - 648*m - 702. Let p(v) = 2*k(v) + 21*q(v). Factor p(y).
3*(y + 1)*(y + 22)
Suppose 6*h - 172 = 68. Let o = h - 36. Factor 3/4*b**5 + 5/4*b**3 + 0 + 1/4*b**2 + 0*b + 7/4*b**o.
b**2*(b + 1)**2*(3*b + 1)/4
Let t = -4 + 7. Suppose -4*z = -0*z - t*a - 8, -a = -3*z + 6. Factor 6*p + 7*p - 3*p + 4*p**z + 16 + 6*p.
4*(p + 2)**2
Let j = -10 + 12. Let h(v) = -25*v**2 + 27*v**2 - j*v - 3*v. Let a(b) = -3*b**2 + 9*b. Let d(k) = -6*a(k) - 10*h(k). Factor d(u).
-2*u*(u + 2)
Factor 36/7 - 2/7*w**2 + 34/7*w.
-2*(w - 18)*(w + 1)/7
Let u be (29/(-116))/(5/(-100)). Find m such that 0 + m**4 + m**3 + 1/3*m**2 + 1/3*m**u + 0*m = 0.
-1, 0
Let c be (60/16)/(-5)*(-16)/18. Suppose -12 = -9*q + 15. Factor -c*g**q + 0 + 2/3*g**2 + 0*g.
-2*g**2*(g - 1)/3
Let t(r) be the first derivative of 5/4*r**2 + 0*r**4 - 5/12*r**6 - 5/3*r**3 + 0*r + r**5 + 7. Factor t(i).
-5*i*(i - 1)**3*(i + 1)/2
Let y(f) be the second derivative of 5/8*f**4 - 2/15*f**6 + 1/3*f**3 + 2/5*f**5 + 0 - 9*f + 3/2*f**2. Let t(c) be the first derivative of y(c). Factor t(o).
-(o - 2)*(4*o + 1)**2
Let m be 1140/644 + -1 - 26/(-299). Suppose -3/7*r**2 - m - 9/7*r = 0. What is r?
-2, -1
Suppose 14/5*z**2 - 2/5 - 8/5*z**3 - 4/5*z = 0. Calculate z.
-1/4, 1
Suppose -90*u + 84*u = -18. Factor 2/9*k**u + 2/9*k**2 + 0 + 0*k.
2*k**2*(k + 1)/9
Let s be (-4 + 1 - -7) + (2 - 1). Factor 2*y**4 + 8*y**3 - 7*y**3 + 2*y - 9*y**4 + 1 - 9*y**3 - 2*y**2 - 2*y**s.
-(y + 1)**4*(2*y - 1)
Let b be (1/(-2))/((-19)/(-10) - 2). Let x be (72/60)/(8/b). Suppose x*y**2 - 3/4*y + 3/4*y**3 - 3/4 = 0. What is y?
-1, 1
Let b(w) be the first derivative of w**3/3 + 27*w**2/2 - 58*w + 174. Determine l so that b(l) = 0.
-29, 2
Let x = 5091/1580 + -7/316. Let t(b) be the first derivative of -2*b**2 + 4 + 0*b + x*b**5 + 7*b**4 + 8/3*b**3. Factor t(p).
4*p*(p + 1)**2*(4*p - 1)
Let c(t) be the first derivative of 4/5*t**2 + 4/15*t**3 + 18 + 0*t. Solve c(r) = 0 for r.
-2, 0
Suppose -8/11*p + 8/11 + 2/11*p**3 - 2/11*p**2 = 0. Calculate p.
-2, 1, 2
Let r(l) be the first derivative of -2*l**6/3 - 12*l**5/5 + 5*l**4 + 36*l**3 + 64*l**2 + 48*l - 139. What is b in r(b) = 0?
-2, -1, 3
Let l = -14 + 23. Factor -25*n**2 + 25*n**4 + 10*n**3 - 6*n**3 - 4*n**5 + l*n**5 - 9*n**3.
5*n**2*(n - 1)*(n + 1)*(n + 5)
Suppose -3*g = -2*g - 4. Let t(j) be the second derivative of 3*j + 0 + 1/30*j**g - 2/5*j**2 + 1/15*j**3. Find a such that t(a) = 0.
-2, 1
Factor -771/8*r - 45/4 - 51/8*r**2.
-3*(r + 15)*(17*r + 2)/8
Let y = -129/28 - -48/7. Factor 3/2 - y*c**3 - 27/4*c + 15/2*c**2.
-3*(c - 2)*(c - 1)*(3*c - 1)/4
Let q(g) = -13*g**2 + 32*g - 61. Let l(n) = 6*n**2 - 16*n + 30. Let j(o) = 7*l(o) + 3*q(o). Let a(m) = -16 + 41 - 25 - m. Let f(p) = 2*a(p) + j(p). Factor f(c).
3*(c - 3)**2
Let v be 28 - 10/(-6 + 1). Let x(n) be the first derivative of 5 - 3/2*n**4 + 21/5*n**5 - 12*n + v*n**2 - 21*n**3. Find r such that x(r) = 0.
-2, 2/7, 1
Let o = 8634 - 8632. Factor -4/7*z**o - 4/7 - 8/7*z.
-4*(z + 1)**2/7
Let n = -65683/5 - -13212. Let t = n + -75. Suppose -2/5*l**4 - 2*l + 4/5 + 6/5*l**2 + t*l**3 = 0. What is l?
-2, 1
Solve 0*z + 7/4*z**3 - 1/2*z**4 - z**2 + 0 - 1/4*z**5 = 0.
-4, 0, 1
Let l(q) be the second derivative of 0*q**3 - 1/28*q**7 + 3/20*q**6 + 4*q + 0*q**2 - 9/40*q**5 + 0 + 1/8*q**4. Factor l(y).
-3*y**2*(y - 1)**3/2
Factor -253265/4 - 8880*a**2 - 41070*a - 640*a**3.
-5*(8*a + 37)**3/4
Let o be 1 + (4/(-12))/(4/(-564)). Let c = o - 48. Factor 0 + 1/2*r**2 + 1/2*r**4 + c*r + r**3.
r**2*(r + 1)**2/2
Let i(o) be the first derivative of o**6/24 + 11*o**5/20 - 27*o**4/8 + 43*o**3/6 - 59*o**2/8 + 15*o/4 + 726. Factor i(x).
(x - 1)**4*(x + 15)/4
Suppose -4*d + 2*j + 4 = -0, -4*d = j + 2. Let w = 227/10 - 111/5. Determine p so that p**2 + 0*p**3 - w - 1/2*p**4 + d*p = 0.
-1, 1
Let n be (-77)/2310*(-10)/8. Let z(l) be the second derivative of 5*l - 4*l**2 - n*l**4 - 2/3*l**3 + 0. Solve z(g) = 0.
-4
Let t(w) be the third derivative of -45*w**8/14 - 18*w**7/7 + 69*w**6/4 + 235*w**5/12 - 125*w**4/3 - 625*w**3/6 - 20*w**2. Determine m, given that t(m) = 0.
-5/6, 1
Let h(t) be the second derivative of t**4/16 - 21*t**3/4 - 33*t**2 - 2*t - 75. Factor h(m).
3*(m - 44)*(m + 2)/4
Let z(r) be the second derivative of -2/11*r**2 - 1/110*r**5 - 2/33*r**4 + 0 - 5/33*r**3 - 5*r. Factor z(n).
-2*(n + 1)**2*(n + 2)/11
Let d(s) be the first derivative of -2/13*s**3 + 1/13*s**2 + 0*s - 12. Suppose d(n) = 0. What is n?
0, 1/3
Suppose -705 = 51*t - 36*t. Let f = t + 51. Factor 8/3*y + 2/3*y**5 - 8*y**2 + 26/3*y**3 + 0 - f*y**4.
2*y*(y - 2)**2*(y - 1)**2/3
Solve 9/10*w - w**2 + 0 + 1/10*w**3 = 0.
0, 1, 9
Let w(f) be the second derivative of -f**5/190 + 17*f**4/19 - 67*f**3/19 + 100*f**2/19 - 407*f. What is g in w(g) = 0?
1, 100
Let k be 2/(-3) + 3/36*-226. Let n = 21 + k. Factor n*t**2 + 0 + 1/2*t**3 + t.
t*(t + 1)*(t + 2)/2
Let d = 12 - 23/2. Suppose 0 = -8*z + 12*z - 8*z. Factor -1/2*t**2 + d*t**3 + z + 0*t.
t**2*(t - 1)/2
Let i(z) be the third derivative of z**5/240 + 5*z**4/8 + 59*z**3/24 + 29*z**2 + 7*z. Determine u so that i(u) = 0.
-59, -1
Factor -9/4*k**2 + 11/4*k - 1 + 1/4*k**3 + 1/4*k**4.
(k - 1)**3*(k + 4)/4
Let f(d) be the second derivative of -2*d**6/25 - d**5/50 + d**4/6 - d + 49. Let f(c) = 0. What is c?
-1, 0, 5/6
Suppose 2*t = -5*o + 2, 4*t - 3*o - 30 = -0*o. Suppose t*v = v + 10. Factor -16*x**v + 2 + 18*x**2 - 4*x - x.
(x - 2)*(2*x - 1)
Suppose -58*o + 11*o = -19*o. Let o + 0*v + 2/9*v**4 - 10/9*v**3 + 8/9*v**2 = 0. What is v?
0, 1, 4
Let s be (3 + 2/1)/((-115)/(-92)). Let h(g) be the third derivative of 0 + 0*g**3 + 1/48*g**s - 1/120*g**5 - g**2 + 0*g. Determine n, given that h(n) = 0.
0, 1
Let y(q) = 5*q**4 + 16*q**3 - 5*q**2 + 6*q - 11. Let h(w) = w**4 + 3*w**3 - w**2 + w - 2. Let r(b) = -11*h(b) + 2*y(b). Determine z so that r(z) = 0.
-1, 0, 1
Let c(x) be the first derivative of 8*x**4/13 - 1232*x**3/39 - 311*x**2/13 - 6*x - 83. Factor c(p).
2*(p - 39)*(4*p + 1)**2/13
Let k be 3 - 175/66*2 - -1. Let w = 1/33 - k. Factor t**2 + 1/3 - w*t.
(t - 1)*(3*t - 1)/3
Let q be 4/6 + (-1 - (-645)/315). Solve -2/7*t**4 - 2/7 - 8/7*t**3 - q*t**2 - 8/7*t = 0 for t.
-1
Determine q so that -9/4*q**4 - 21/8*q**3 + 3/2*q**2 + 3/4 + 21/8*q = 0.
-1, -2/3, -1/2, 1
Let z(k) = -k**2 - 967*k - 39371. Let a(x) = 3*x**2 + 2418*x + 98427. Let w(n) = 5*a(n) + 12*z(n). Factor w(b).
3*(b + 81)**2
Let t(n) be the second derivative of n**6/540 + 2*n**5/135 + n**4/27 - 19*n**2/2 + 24*n. Let q(i) be the first derivative of t(i). Factor q(p).
2*p*(p + 2)**2/9
Suppose 3*d = 2*d + 2. Let o be (0 - 0)/(1 + 2). Determine x so that 0 + o*x - 1/2*x**3 + 0*x**d = 0.
0
Let r(j) = -7*j**4 + 28*j**3 - 65*j**2 + 62*j - 18. Let g(a) = 22*a**4 - 83*a**3 + 195*a**2 - 187*a + 53. Let d(s) = -2*g(s) - 7*r(s). Factor d(x).
5*(x - 2)**2*(x - 1)**2
Let m(h) be the third derivative of 0*h**3 + 0*h**4 + 0 - 1/120*h**5 - 8*h**2 + 0*h - 1/80*h**6. Factor m(s).
-s**2*(3*s + 1)/2
Let m(n) = n**3 + 2*n**2 - 575*n + 4. Let f be m(23). Factor 2/21*q**5 - 4/7*q**f + 8/21*q - 8/7*q**2 + 26/21*q**3 + 0.
2*q*(q - 2)**2*(q - 1)**2/21
Let w = -22 + 25. Suppose -28*f**w + 12*f**3 - 34*f**3 + 10*f**2 + 8 + 32*f = 0. What is f?
-2/5, 1
Let t = -41 - -74. Suppose -2*p - h = -t, -85 = 2*p - 7