 1)*(x + 1)*(2*x + 1)
Let p(d) be the second derivative of 21*d**6/20 + 3*d**5/20 - 65*d**4/24 + d**3/3 + 3*d**2 + 53*d. Let p(t) = 0. What is t?
-1, -3/7, 2/3
Let w(d) be the first derivative of 4/21*d**3 - 4/7*d - 23 + 0*d**2. Suppose w(y) = 0. Calculate y.
-1, 1
Let n(u) be the third derivative of u**6/24 + 11*u**5/12 + 25*u**4/12 - 6*u**2 + 14. Find g such that n(g) = 0.
-10, -1, 0
Suppose -5*p = -0*p - 210. Let m = p - 40. Let -1/2 - 3/2*g**m - 2*g = 0. Calculate g.
-1, -1/3
Let f be 4/(-40)*-5*(62 - 2). Factor 127*t - f*t**2 - 6 + 140*t - 9 - 227*t + 5*t**4.
5*(t - 1)**3*(t + 3)
Suppose -4*d - 2*m - 3*m + 23 = 0, 4*m = -d - 8. Let t be d*-2*2/(-6). Let -3*x**3 - 3*x**3 + 9*x + 21*x**4 - 21*x**2 - 11*x + t*x = 0. What is x?
-1, 0, 2/7, 1
Find x such that 3/4*x**3 - 7/4*x + 1/4*x**4 + 3/2 - 3/4*x**2 = 0.
-3, -2, 1
Find y such that -240*y**2 - y**5 + 2*y**4 + 494*y**2 - 254*y**2 + 3*y**3 = 0.
-1, 0, 3
Let p(w) = -w**2 + 8*w + 16. Let z be p(9). Factor 6 - d**2 - 14 + z - 2*d.
-(d + 1)**2
Let d = 122863/9 - 13651. Let -14/9*f - d*f**4 - 14/9*f**5 - 4/9 + 8/9*f**2 + 28/9*f**3 = 0. Calculate f.
-1, -2/7, 1
Suppose -6 - 2 = 2*o, b + 3*o - 587 = 0. Factor -y**2 + 15 + 9 + 3*y**2 - 615*y + b*y.
2*(y - 6)*(y - 2)
Suppose 41*g = 28*g + 39. Let q be 1 + (-1 + g)*3/6. Factor 1/6*z**5 + 0*z**q + 0 + 0*z**4 + 0*z**3 + 0*z.
z**5/6
Let a(q) be the second derivative of -q**8/4200 + q**6/900 + 13*q**3/6 + 8*q. Let d(l) be the second derivative of a(l). Factor d(r).
-2*r**2*(r - 1)*(r + 1)/5
Let m(g) be the first derivative of -8/5*g**5 - 38 + 1/6*g**6 + 40/3*g**3 + 0*g + 3/2*g**4 + 25/2*g**2. Factor m(x).
x*(x - 5)**2*(x + 1)**2
Factor -24*o**3 - 3478/5*o**2 + 1464*o - 1/5*o**4 - 3721/5.
-(o - 1)**2*(o + 61)**2/5
Let s(q) be the third derivative of q**8/2352 + q**7/294 - 13*q**6/840 + q**5/60 + 39*q**2 + 1. Solve s(l) = 0 for l.
-7, 0, 1
Let w(a) be the first derivative of a**4/15 - 2*a**3/5 + a + 11. Let v(i) be the first derivative of w(i). Find u, given that v(u) = 0.
0, 3
Let f be ((-90)/(-210))/((-3)/(21/(-20))). Let o(j) be the second derivative of 0 + 0*j**3 + 3*j - 1/4*j**4 + 0*j**2 + f*j**5. Factor o(l).
3*l**2*(l - 1)
Let i(h) = -h**2 + 7*h. Let j be i(3). Let p be 9/j + (-4)/(-16). Factor -4*f**3 + 2*f**3 + 1 + f**4 - p.
f**3*(f - 2)
Let p be (-38)/12 + 3 + (-139)/(-6). Solve -6*r**3 - 4*r**2 + 26*r**4 - 5*r**3 - p*r**4 = 0.
-1/3, 0, 4
Factor 11*h - 1/2*h**3 + 8 + 5/2*h**2.
-(h - 8)*(h + 1)*(h + 2)/2
Let f be ((-20)/15)/(4/(-30)). Suppose 0 = 7*u - 12*u + f. Factor -36 + 5*y**u + 15*y + 36.
5*y*(y + 3)
Factor -3/11*p**2 + 1/11*p + 1/11*p**4 + 2/11 - 1/11*p**3.
(p - 2)*(p - 1)*(p + 1)**2/11
Let r(s) be the second derivative of s**4/21 + 20*s**3/21 + 6*s**2 + 2*s + 189. Factor r(k).
4*(k + 3)*(k + 7)/7
Let k(a) be the third derivative of a**9/3780 + 13*a**8/15120 + a**7/3780 - a**5/12 + a**4/12 + 44*a**2. Let p(w) be the third derivative of k(w). Factor p(l).
4*l*(l + 1)*(12*l + 1)/3
Solve -10/3*k**3 - 18*k**2 - 20/3*k + 0 = 0.
-5, -2/5, 0
Determine w so that 14*w**4 + 16/7 - 34*w**3 + 36/7*w**2 + 88/7*w = 0.
-2/7, 1, 2
Let m(h) = 5*h**5 - 5*h**4 - 10*h**3 + 10*h**2 - 4*h - 2. Let f(w) = -2*w**5 + w**3 + w**2 + 2*w + 1. Let i(o) = -6*f(o) - 3*m(o). Solve i(a) = 0 for a.
-2, 0, 1, 6
Suppose -w + p = 2*p + 2, 2*w + 5*p + 16 = 0. Suppose 7*s**3 - 2*s + 0*s + 3*s**w + 2*s**2 = 0. Calculate s.
-1, 0, 2/7
Let h(w) be the first derivative of -w**4/6 + 68*w**3/15 - 36*w**2 + 80*w/3 - 65. Factor h(k).
-2*(k - 10)**2*(5*k - 2)/15
Let c(b) = -b - 1. Let n(i) be the third derivative of -i**5/60 - 11*i**4/24 + 11*i**3/6 + 5*i**2. Let z(q) = -5*c(q) + n(q). Find f such that z(f) = 0.
-8, 2
Let v(n) be the third derivative of 1/48*n**4 + 0*n - 1/240*n**6 - 1/6*n**3 - 7*n**2 + 0 + 1/60*n**5. Let v(u) = 0. What is u?
-1, 1, 2
Let r(i) be the first derivative of i**8/84 + 4*i**7/105 + i**6/30 - 11*i**2/2 - 4. Let c(j) be the second derivative of r(j). Factor c(g).
4*g**3*(g + 1)**2
Let l = 324 + -321. Let h(w) be the third derivative of 1/420*w**5 - 1/840*w**6 + 5/168*w**4 + 0 + 1/14*w**3 + l*w**2 + 0*w. Suppose h(x) = 0. Calculate x.
-1, 3
Let d be 1090/(-3135) + 2/6. Let x = 3741/1463 - d. Determine n so that -12/7*n**2 + x*n + 2/7*n**3 + 0 = 0.
0, 3
Let o(u) be the second derivative of u**6/45 + 2*u**5/5 + 11*u**4/18 - 123*u. What is z in o(z) = 0?
-11, -1, 0
Let g = 13 + -9. Let h(j) be the first derivative of -12*j**3 + 3*j**2 - 4 + 9*j**4 + 3*j**4 - 4*j**5 + g*j**2 - 3*j**2. Factor h(l).
-4*l*(l - 1)**2*(5*l - 2)
Let k(v) be the second derivative of -v**6/100 + 7*v**5/150 - v**4/12 + v**3/15 - 2*v**2 + 13*v. Let a(y) be the first derivative of k(y). Solve a(i) = 0 for i.
1/3, 1
Let g(l) = -l**3 - l + 2. Let t(m) = 17 - 2*m**3 - 3*m + 0*m - 12. Let s(x) = x**2 + 6*x - 9. Let f be s(-7). Let p(r) = f*t(r) + 5*g(r). Solve p(y) = 0 for y.
-1, 0, 1
Let w(i) be the first derivative of 2*i**5/5 - 21*i**4/2 + 40*i**3/3 - 25. Factor w(z).
2*z**2*(z - 20)*(z - 1)
Let s = 69 + -63. Let l(g) be the second derivative of -7/6*g**4 - 5*g + 0*g**2 + 0 - 2/3*g**3 - 1/3*g**s - 9/10*g**5 - 1/21*g**7. Factor l(n).
-2*n*(n + 1)**3*(n + 2)
Let u(t) be the second derivative of -5*t**4/6 - 2*t**3/9 - 8*t. Factor u(c).
-2*c*(15*c + 2)/3
Let l(j) = j**2 + 6*j + 9. Let d be l(-4). Let g be -5 + d - 65/(-10). Factor k**3 + 3/2*k**5 - g*k**4 + 0*k**2 + 0*k + 0.
k**3*(k - 1)*(3*k - 2)/2
Let r(a) = a**2 - 13*a - 374. Let s be r(-14). What is p in -4/3 + 4/3*p + 1/3*p**s + p**2 - 4/3*p**3 = 0?
-1, 1, 2
Factor -1/2*a + 7/4*a**4 + 2*a**3 - 1/4 + 1/2*a**5 + 1/2*a**2.
(a + 1)**4*(2*a - 1)/4
Find d, given that 0 + 120*d**2 + 0*d + 3/4*d**3 = 0.
-160, 0
Let z(w) = w**2 + 20*w - 102. Let i be z(-24). Let q be i*228/234 - -6. Determine s, given that -q*s**5 + 6/13*s**4 + 0 - 6/13*s**2 + 4/13*s - 2/13*s**3 = 0.
-1, 0, 1, 2
Suppose 11*l = 1010 - 273. Factor 3*k**3 - 71*k**5 + 139*k**5 - l*k**5 - k**2 - 3*k**4.
k**2*(k - 1)**3
Suppose -6*z + 69 - 21 = 0. Suppose -z = -7*w + 6. Suppose 2/13*g + 2/13*g**5 + 0 + 8/13*g**4 + 12/13*g**3 + 8/13*g**w = 0. Calculate g.
-1, 0
Let f(a) be the second derivative of -2*a**6/3 - 19*a**5/5 - 16*a**4/3 + 8*a**3/3 + a + 31. Find d such that f(d) = 0.
-2, 0, 1/5
Let l = -234 + 330. Suppose 0 = 4*s - 36*s + l. Determine p so that 3/2*p**2 - 3/2*p**s - 3/2 + 3/2*p = 0.
-1, 1
Let -26*p + 113 - 6*p - 82 + p**2 = 0. Calculate p.
1, 31
Let j(l) be the third derivative of l**8/1680 - l**7/150 + l**6/40 - 3*l**5/100 + l**2 - 20*l. Factor j(i).
i**2*(i - 3)**2*(i - 1)/5
Factor -36/5 + 4*o**2 - 48/5*o.
4*(o - 3)*(5*o + 3)/5
Suppose -y + 2*a - 117 = 0, 5*y - 5*a + 515 = -9*a. Let i = y - -111. Factor -3*w**3 + 0 - 2*w - 9/2*w**2 - 1/2*w**i.
-w*(w + 1)**2*(w + 4)/2
Let r(b) be the third derivative of 0*b**3 - 8*b**2 + 1/1020*b**6 + 0*b - 1/510*b**5 + 0 - 1/204*b**4 + 1/1785*b**7. Factor r(w).
2*w*(w - 1)*(w + 1)**2/17
Let n be 2/4 - 153/10. Let w = n + 15. Find k, given that -1/5*k - w*k**2 + 0 = 0.
-1, 0
Factor 36000 + 2/3*a**5 + 2102/3*a**3 + 25200*a + 6330*a**2 + 106/3*a**4.
2*(a + 4)**2*(a + 15)**3/3
Let b be 2/3*(-12)/(-32) - 0. Let a(t) be the first derivative of -t**2 + 0*t + 1/3*t**3 + b*t**4 - 4. Factor a(o).
o*(o - 1)*(o + 2)
What is k in -2/7*k**3 - 198/7*k + 162/7 + 38/7*k**2 = 0?
1, 9
Let r(a) be the second derivative of -26*a + 49/60*a**4 + 72/5*a**2 + 28/5*a**3 + 0. Factor r(k).
(7*k + 12)**2/5
What is d in 2/5*d**2 + 2888/5 - 152/5*d = 0?
38
Let k(w) be the second derivative of -22*w**6/15 - 29*w**5/5 - 7*w**4 + 2*w**3/3 + 8*w**2 - w + 117. Find r such that k(r) = 0.
-1, 4/11
Factor -1/4*p**4 + 2*p**3 + 0*p - 4*p**2 + 0.
-p**2*(p - 4)**2/4
Suppose 0 = 8*s + 48 + 48. Let k be (1/((-4)/s))/5. Solve 0 - k*d**2 + 9/5*d = 0 for d.
0, 3
Let t(k) be the third derivative of -7*k**5/15 + 3*k**4/2 - 4*k**3/3 + 37*k**2. Factor t(w).
-4*(w - 1)*(7*w - 2)
Let c be 42/(-420) - (-1)/10. Let -4/13*p - 18/13*p**3 + c + 10/13*p**4 + 14/13*p**2 - 2/13*p**5 = 0. Calculate p.
0, 1, 2
Let s(u) be the second derivative of u**5/70 + 4*u**4/21 + 13*u**3/21 + 6*u**2/7 + 16*u. Factor s(y).
2*(y + 1)**2*(y + 6)/7
Let g = -17564 - -158090/9. Factor g*t - 20/9 - 2/9*t**2.
-2*(t - 5)*(t - 2)/9
Find h such that 2/9*h**5 + 4/9 + 2*h + 28/9*h**3 + 32/9*h**2 + 4/3*h**4 = 0.
-2, -1
Let x(h) = h*