3/4*t**2 + 1/4*t**3.
(t - 3)*(t + 1)*(t + 205)/4
Let o(w) = 5*w**2 - 47*w - 200. Let g(u) = -2*u**2 + 23*u + 100. Let d be -1*18/6 + (-11)/1. Let y(r) = d*g(r) - 6*o(r). Factor y(n).
-2*(n + 10)**2
Suppose -13383 + 13383 + 52*x**2 + 82*x**3 + 11*x**5 - 13*x**4 + 8*x - 32*x**5 = 0. Calculate x.
-2, -1/3, -2/7, 0, 2
Let t(l) be the second derivative of 65/12*l**4 + 5*l**2 + 52*l - 49/6*l**3 - 1/10*l**6 - 2 - 23/20*l**5. Let t(v) = 0. What is v?
-10, 1/3, 1
Suppose 10 = 146932*c - 146927*c. Suppose -24/7 - 44/7*x + 4*x**c = 0. What is x?
-3/7, 2
Let y(f) = -14*f + 30. Let s be y(-3). Factor -s + 26*n + n**2 + 3*n**2 + 2*n.
4*(n - 2)*(n + 9)
Let i(h) be the third derivative of 0*h + 1/210*h**5 + 22/21*h**3 - 23/84*h**4 + 10 + h**2. Let i(p) = 0. What is p?
1, 22
Solve 64*w**2 - 108*w**5 - 60*w**5 - 58*w - 4*w**4 - 60 + 166*w**5 + 60*w**3 = 0 for w.
-6, -1, 1, 5
Suppose -24086*z - d = -24083*z - 4, -2*z + 2*d + 8 = 0. Factor -14739/2*v**3 + 12 - 306*v + 2601*v**z.
-3*(17*v - 2)**3/2
Let c(u) be the second derivative of -5*u**4/12 - 35*u**3/6 + 93*u**2/2 - 42*u. Let q(y) = -5*y**2 - 35*y + 92. Let x(j) = -2*c(j) + 3*q(j). Factor x(z).
-5*(z - 2)*(z + 9)
Determine u so that 3/5*u**3 + 3*u + 12/5*u**2 + 6/5 = 0.
-2, -1
Let r(k) be the first derivative of k**3 - 144*k**2 + 1420. Factor r(z).
3*z*(z - 96)
Let g = -59789/15 + 19933/5. Factor 0 + g*d**2 - 8/3*d.
2*d*(d - 4)/3
Suppose 4 = q - 4*x + 6, 4*q + 5*x - 13 = 0. Suppose 0*i**2 + 48 + 3*i**q + 18*i + 26*i + 7*i = 0. What is i?
-16, -1
Let o(r) be the first derivative of 4/35*r**5 - 3/14*r**4 - 106 - 8/21*r**3 + 1/21*r**6 + 4/7*r**2 + 0*r. Determine g, given that o(g) = 0.
-2, 0, 1
Suppose s + 27 = 4*s. Suppose -47 = -s*k + 34. Find r such that -32 + 7*r + k*r + r**2 - 2*r**2 - r**2 = 0.
4
Let t = -4576 - -4587. Let f(b) be the second derivative of t*b + 3/14*b**2 + 1/28*b**4 - 1/7*b**3 + 0. Factor f(j).
3*(j - 1)**2/7
Let a be -9 + (-9456)/(-900) - (54/(-4))/(-9). Let v(o) be the third derivative of 0*o - 1/30*o**4 + 0 - 8/15*o**3 + a*o**5 - 6*o**2. Factor v(p).
2*(p - 4)*(p + 2)/5
Determine f so that -705/2*f + 3/2*f**3 + 975 + 24*f**2 = 0.
-26, 5
Let c be -87*3/(-9) - 2. Let i = -25 + c. Factor 8*v**2 + 10*v**2 + 20*v + 3*v**i - 16*v**2 - 25.
5*(v - 1)*(v + 5)
Let s(h) = h**3 - 44*h**2 - 67*h + 5. Let w(t) = t**3 - 22*t**2 - 33*t + 3. Let o(r) = -6*s(r) + 10*w(r). Solve o(b) = 0 for b.
-9, -2, 0
Suppose 29 = 3*y + 20. Factor -6*s**y - 3*s**4 - 12*s**3 + s**3 - 10*s**3.
-3*s**3*(s + 9)
Let n = 10 - 10. Suppose -5*f + n*f + 15 = 0. Factor 952*g**4 + 2*g**3 + 5*g**f - 957*g**4 + 8*g**3.
-5*g**3*(g - 3)
Suppose 0 = -31*p + 222 - 563. Let q be ((-5322)/(-9))/2 - (p + 10). Find u, given that -20/3 - q*u**3 - 325*u**4 + 75*u**2 + 40*u = 0.
-1, -2/5, 2/13, 1/3
Let d = 1819/184 + -173/46. Let z(h) be the first derivative of -1/24*h**3 - d*h + 11 - 7/8*h**2. Solve z(w) = 0 for w.
-7
Let y(b) = b**2 + 712*b + 5634. Let d be y(-8). Factor 2/9*i**3 + 0 + 8/3*i**d + 8*i.
2*i*(i + 6)**2/9
Let v(n) be the first derivative of 444*n + 2*n**4 - 420*n - 5*n**4 - 11*n**4 - 83 - 52*n**3 - 38*n**2. Factor v(x).
-4*(x + 1)*(x + 2)*(14*x - 3)
Let w = -1573 + 1588. Let q be (-1)/(12/w - 1). Factor 0*m - 2/11*m**q + 8/11*m**3 - 4/11*m**4 + 16/11*m**2 + 0.
-2*m**2*(m - 2)*(m + 2)**2/11
Let i(o) = 4*o - 25. Let a be i(7). Suppose f - 2*f + 2 = 0. Factor -131*s + 431*s + 6*s**3 + 500 - f*s**a + 60*s**2.
4*(s + 5)**3
Let u = 14747 + -14745. Let d(s) be the third derivative of 5/24*s**4 - 3*s**u - 10/3*s**3 - 1/24*s**6 + 0*s + 1/3*s**5 + 0. What is h in d(h) = 0?
-1, 1, 4
Let -3/4*j**3 + 207 + 417/2*j**2 - 1659/4*j = 0. What is j?
1, 276
Let q(x) = 3*x**3 - 38*x**2 - 820*x - 2812. Let t(m) = -12*m**3 + 151*m**2 + 3278*m + 11249. Let c(s) = -17*q(s) - 4*t(s). Find y, given that c(y) = 0.
-6, 26
Let r = -25 + 69. Suppose 0 = -59*j - r + 221. Factor 0*v + 1/3*v**2 + 0 + 1/3*v**j.
v**2*(v + 1)/3
Let w = 20828 - 20823. Let l(v) be the third derivative of -1/2*v**3 + 0*v + 0 + 17*v**2 - 7/48*v**4 - 1/120*v**w. Factor l(x).
-(x + 1)*(x + 6)/2
Suppose 2*b = 2*w + 50 - 48, -4*b = 3*w + 38. Let q be (-35)/3696*w - 2/(-16). Factor -2/11*y**2 + q + 0*y.
-2*(y - 1)*(y + 1)/11
Let q(s) be the first derivative of -10*s + 0*s**2 + 2/3*s**3 + 19 - 1/3*s**4. Let t(a) be the first derivative of q(a). Suppose t(k) = 0. What is k?
0, 1
Let k(u) be the second derivative of u**6/6 - 177*u**5/2 + 2*u - 1121. Factor k(q).
5*q**3*(q - 354)
Suppose -5*y + u + 14 = -12, -2*y + 8 = 2*u. Suppose 63 = y*i + 43. Suppose -4*b**2 + 4*b + 3*b**5 + 6*b**i - 4*b**5 - b**4 - b**4 - 3*b**3 = 0. What is b?
-1, 0, 1, 2
Factor -1/4*i**3 - 3025/4 - 47/4*i**2 - 671/4*i.
-(i + 11)**2*(i + 25)/4
Let n(r) be the second derivative of 25/6*r**3 + 19*r + 0*r**2 + 0 + 1/900*r**6 + 1/75*r**5 + 1/15*r**4. Let z(b) be the second derivative of n(b). Factor z(u).
2*(u + 2)**2/5
Factor -13/3*o**3 + 0 + 14/3*o + 19/3*o**2.
-o*(o - 2)*(13*o + 7)/3
Let n(a) be the first derivative of -a**6/45 - 52*a**5/15 - 2416*a**4/15 - 79744*a**3/45 - 7936*a**2 - 15360*a - 229. Find q such that n(q) = 0.
-60, -4, -2
Let v(z) be the third derivative of z**7/35 - 19*z**6/60 - 5*z**5/2 + 9*z**4/4 + 226*z**2. Factor v(l).
2*l*(l - 9)*(l + 3)*(3*l - 1)
Suppose -4 = 3*u - 3*l - 2*l, 2*l + 6 = 5*u. Let g(q) be the first derivative of 3/4*q**4 - 4*q**3 + 17 + 0*q + 9/2*q**u. Solve g(z) = 0.
0, 1, 3
Find u such that -164/5*u + 379/5*u**2 + 4 - 399/5*u**4 - 133/5*u**3 + 297/5*u**5 = 0.
-1, 2/9, 5/11, 2/3, 1
Let x(u) be the second derivative of -u**6/40 + 3*u**5/20 + 3*u**4/4 - 4*u**3 - 24*u**2 + 22*u - 83. Find z such that x(z) = 0.
-2, 4
Factor -1120*p + 9 - 36 + 7 + 6765*p**2.
5*(11*p - 2)*(123*p + 2)
Let g = 137798 + -413390/3. Determine p so that g*p + 0 - 27*p**4 - 83/3*p**3 + 0*p**2 - 20/3*p**5 = 0.
-2, -1/4, 0, 1/5
Let z(q) = 4*q - 18. Suppose -2*v + 3*v = 2*m + 11, 5*m + 40 = 5*v. Let o be z(v). Factor 0*p**2 + p**2 + 7*p**o - 6*p**3 + 2*p**3.
-4*p**2*(p - 2)
Let p(s) be the first derivative of 2*s**7/525 - 7*s**6/450 - s**5/75 + 89*s**3/3 - 110. Let o(a) be the third derivative of p(a). Let o(q) = 0. Calculate q.
-1/4, 0, 2
Let n(t) be the third derivative of -41/48*t**4 - 7/6*t**3 + 0 - 1/60*t**6 + 2*t - 33*t**2 + 59/120*t**5. Factor n(j).
-(j - 14)*(j - 1)*(4*j + 1)/2
Factor -49*r - 3530*r**3 + 2*r**5 - 14*r**2 + 3*r**4 + 19*r + 5*r**4 - 42*r**2 + 3510*r**3.
2*r*(r - 3)*(r + 1)**2*(r + 5)
Let v(h) be the first derivative of h**4/4 + 4*h**3/3 - 5*h**2/2 + 1278. Determine y so that v(y) = 0.
-5, 0, 1
Factor 845/2 - 2*v**3 - 273*v - 99/2*v**2.
-(v + 13)**2*(4*v - 5)/2
Suppose 24*y - 29*y - 15 = 0, -a = -4*y - 14. Suppose -4*d**4 + 22*d**2 - 1088*d**5 - 24*d + 1090*d**5 - 2*d**4 - a*d**3 + 8 = 0. Calculate d.
-2, 1, 2
Let l = -66 + 69. Let k(b) = -b + 6. Let m be k(l). Determine r so that -35 + 4*r**3 - 15*r**3 + 7 - 56*r**2 - 94*r + 21*r**m = 0.
-1, -2/5, 7
Factor 198/7 - 10*i**2 - 2/7*i**3 - 18*i.
-2*(i - 1)*(i + 3)*(i + 33)/7
Let o be 1018/28 + (-35013)/2122. Factor 5 - 4/7*j**2 + o*j.
-(j - 35)*(4*j + 1)/7
Let b(h) be the second derivative of -h**4/3 - 982*h**3/3 + 984*h**2 - 277*h. Let b(k) = 0. What is k?
-492, 1
Let l(f) be the first derivative of -f**7/210 - 7*f**6/90 - 11*f**5/30 - 5*f**4/6 - 4*f**3 - f**2 + 75. Let q(p) be the third derivative of l(p). Factor q(z).
-4*(z + 1)**2*(z + 5)
Suppose 219*d - 217*d = 308. Suppose -142 + d = 6*i. Find n, given that 0*n**4 - 6/5*n**i - 3/5*n**5 - 9/5*n + 6/5 + 12/5*n**3 = 0.
-2, -1, 1
Suppose -6625*t = -6593*t. Let b(l) be the third derivative of 0 + 6*l**2 - 16*l**3 - 1/40*l**5 + t*l - l**4. Find u such that b(u) = 0.
-8
Let k be (116/((-391500)/405))/((-1)/4*3/15). Let a = -22/5 + 6. Factor -4/5*v**3 + k*v + a*v**2 + 0.
-4*v*(v - 3)*(v + 1)/5
Let b(o) be the third derivative of o**8/26880 - o**6/960 + o**5/6 - 3*o**2 - o. Let j(u) be the third derivative of b(u). Find v such that j(v) = 0.
-1, 1
Let s(n) = n - 10. Suppose 0 = 9*t - 83 - 25. Let q be s(t). Factor -h**4 + 4*h**q - 42*h**3 + 42*h**3.
-h**2*(h - 2)*(h + 2)
Let n(s) be the first derivative of -s**5/10 - 4*s + 8. Let z(y) be the first derivative of n(y). Determine v, given that z(v) = 0.
0
Let d(b) = 660*b**2 + 8*b + 5. Let n be d(-2). Let l = -2626 + n. Factor 36/5*g**2 + 44/5 + 4/5*