 27/4*d**2 = 0. What is d?
-3, -3/2, -1, 0, 1
Let c(n) be the first derivative of 10*n + 14/3*n**3 - 1/2*n**4 - 11*n**2 - 14. Factor c(j).
-2*(j - 5)*(j - 1)**2
Let k be (104/130)/(3*2/15). Factor -12 - 6*a**3 - 38*a - 24*a + 10*a**4 + 28*a - 16*a - 54*a**k.
2*(a - 3)*(a + 1)**2*(5*a + 2)
Find h such that 795664/5*h**2 - 1784/5*h + 1/5 = 0.
1/892
Let b(q) be the first derivative of 3*q**5/5 + 13*q**4/4 - 385*q**3/3 + 1375*q**2/2 - 750*q - 3685. Suppose b(c) = 0. What is c?
-15, 2/3, 5
Let z(t) be the second derivative of -t**4/120 + t**3/20 + t**2/5 + 6*t - 45. Solve z(s) = 0 for s.
-1, 4
Let g(d) = 2*d**3 - d**2 + 3*d - 2. Let c be g(1). Determine q, given that 10*q**4 + 35*q**2 - 9*q**4 - 41*q**c + q**3 = 0.
-3, 0, 2
Let w = -305 + 302. Let b be -6 + 18 + -9 + w. Factor -a + 17/2*a**4 - 18*a**3 + b + 21/2*a**2.
a*(a - 1)**2*(17*a - 2)/2
Let n(u) be the third derivative of u**6/360 - u**5/240 - u**4/16 + 32*u**3/3 + u**2 - 27. Let z(j) be the first derivative of n(j). Factor z(p).
(p + 1)*(2*p - 3)/2
Let i = 1046803 + -1046801. Let -3698/7 + 172/7*o - 2/7*o**i = 0. What is o?
43
Let q be (5/(-50)*18)/((-6)/10). Let 2*p + 4*p**4 + 16*p**2 - 11*p**2 + 6*p**2 + 13*p**q = 0. What is p?
-2, -1, -1/4, 0
Let p(b) be the third derivative of -1/24*b**6 + 63*b**2 + 0 + 0*b**4 - 1/12*b**5 + 0*b**3 + 0*b. Find z such that p(z) = 0.
-1, 0
Factor -2/7*r**2 - 9028/7*r - 10188098/7.
-2*(r + 2257)**2/7
Let n(p) be the third derivative of p**6/150 - 34*p**5/75 + 293*p**4/30 - 104*p**3/3 + p**2 + 7*p + 42. Factor n(d).
4*(d - 20)*(d - 13)*(d - 1)/5
Let b = -70 + 74. Suppose -b*j = -14*j + 10. Let o(n) = n**4 - 1. Let i(v) = v**4 - 9*v**3 - 6*v**2 - 4. Let y(x) = j*i(x) - 4*o(x). Factor y(s).
-3*s**2*(s + 1)*(s + 2)
Let d(x) = 3*x**2 + 2*x. Let j(i) = -4*i**3 - 34*i**2 + 32*i + 252. Let z(r) = -2*d(r) - j(r). Factor z(u).
4*(u - 3)*(u + 3)*(u + 7)
Suppose -5*g - 4*l = -42, 3*g + 19 = -8*l + 89. Let 32/9 - 40/9*z**4 - 8/3*z + 68/3*z**3 - 172/9*z**g = 0. Calculate z.
-2/5, 1/2, 1, 4
Solve -24/5*f**3 - 1/2*f**5 - 134/5*f**2 + 0 + 56/5*f + 47/10*f**4 = 0 for f.
-2, 0, 2/5, 4, 7
Let i(o) be the second derivative of -o**5/150 + 19*o**4/60 + 4*o**3/3 + 50*o**2 - 2*o + 27. Let b(p) be the first derivative of i(p). Let b(n) = 0. What is n?
-1, 20
Let g = 246 + -215. Let 5*n + 5*n - 40 - 26*n**2 + g*n**2 + 0*n = 0. Calculate n.
-4, 2
Let m(c) be the third derivative of c**8/6720 + c**7/105 + c**5/30 - 9*c**3/2 - 3*c**2 + 16. Let p(o) be the third derivative of m(o). Factor p(x).
3*x*(x + 16)
Suppose 0 = 3*v - 3*j - 30, 0 = 2*v + 3*v + 3*j - 42. Suppose 4 = g, -v*h - 13 = -12*h - g. Factor 0 + 8/3*z + 4/3*z**h + 4*z**2.
4*z*(z + 1)*(z + 2)/3
Let z(b) = 2*b - 32. Let f be z(11). Let h be ((-1)/(f/4))/((-2)/(-10)). Factor 5*i - 7*i**2 + i + 2*i**2 + h*i**2.
-3*i*(i - 2)
Let i(j) be the second derivative of -195*j - 1/6*j**4 + 0 - 20*j**3 - 900*j**2. Factor i(b).
-2*(b + 30)**2
Let j(u) be the first derivative of -u**4/5 + 112*u**3/15 - 82*u**2 + 360*u - 204. Factor j(t).
-4*(t - 18)*(t - 5)**2/5
Let c = -6788 - -6791. Let j(p) be the second derivative of -1/336*p**7 - 1/48*p**4 + 0*p**c + 0*p**2 - 1/32*p**5 + 0 + 31*p - 1/60*p**6. Factor j(z).
-z**2*(z + 1)**2*(z + 2)/8
Suppose 15*q - 16*q - l + 1 = 0, 5*q = -4*l + 4. Let v(g) be the first derivative of 8 - 1/3*g**3 + g**2 + q*g. Factor v(b).
-b*(b - 2)
Let t be (-1354)/6093*(-3)/5. Factor -2/5*f**2 + 16/15 + t*f**3 - 4/5*f.
2*(f - 4)*(f - 1)*(f + 2)/15
Let l(t) be the first derivative of t**4/8 + 4*t**3/3 - 11*t**2/4 - 9*t - 3196. Factor l(s).
(s - 2)*(s + 1)*(s + 9)/2
Let u(p) = -23*p**2 - 7730*p - 2511671. Let r(i) = -4*i**2 - 1288*i - 418612. Let t(s) = 17*r(s) - 3*u(s). Find x, given that t(x) = 0.
-647
Let w be (2 + -7)*2/(-5). Factor -4*b**2 - 6*b**w - 13*b**2 + 3*b**3 + 2*b**2.
3*b**2*(b - 7)
Let q be -30*3/(-1785)*(-72)/(-32)*(-1176)/(-9). Factor 2/17*i**4 + 304/17 + 50/17*i**3 + q*i**2 + 472/17*i.
2*(i + 2)**3*(i + 19)/17
Let m = -365 + 405. Let j = m + -40. Let 2/3*t + 0*t**2 + j - 2/3*t**3 = 0. Calculate t.
-1, 0, 1
Let w(y) be the second derivative of -y**7/840 - y**6/40 - y**5/8 + 73*y**4/6 + 134*y. Let q(g) be the third derivative of w(g). Factor q(h).
-3*(h + 1)*(h + 5)
Let q(d) be the third derivative of -d**6/600 - 107*d**5/300 + 723*d**4/40 - 675*d**3/2 - 2*d**2 - 2584. Factor q(b).
-(b - 9)**2*(b + 125)/5
What is n in 5/3*n**2 - 5605/6 - 3735/2*n = 0?
-1/2, 1121
Let x = 59235 - 59195. What is i in 155/2*i**2 + 140*i - x + 10*i**3 = 0?
-4, 1/4
Let a be (-18)/(-8)*(275/330*20/(-1) + 18). Factor -28/13 + 16/13*i**2 - 2/13*i**a - 10/13*i.
-2*(i - 7)*(i - 2)*(i + 1)/13
Let v be (60/(-105))/(4/14). Let x be (v/(-6))/(9/3888*12). Factor 9/2*s**3 + 3 + x*s**2 + 21/2*s.
3*(s + 1)**2*(3*s + 2)/2
Suppose -v + 5*b - 16 = 0, v - 38*b - 16 = -41*b. Let x(o) be the second derivative of -2*o + 0 - 1/12*o**v + 1/2*o**2 + 0*o**3. Factor x(h).
-(h - 1)*(h + 1)
Let p(y) be the second derivative of -y**7/735 + y**6/84 + 13*y**5/210 + y**4/12 - 75*y**2/2 - 2*y + 74. Let x(c) be the first derivative of p(c). Factor x(j).
-2*j*(j - 7)*(j + 1)**2/7
Let j be 2/10 - 6218/(-210) - 492/738. Factor 3468/7 + j*i + 3/7*i**2.
3*(i + 34)**2/7
Suppose 1171*m**2 + 65/2*m**3 + 324 + 10566*m = 0. What is m?
-18, -2/65
Let a(j) = -5*j + 25. Let t be a(4). Let -3*w**2 - 7*w**2 + 10*w**4 + 31*w - 36*w + 5*w**t = 0. Calculate w.
-1, 0, 1
Let k(s) = -14*s**4 + 47*s**3 - 59*s**2 + 24. Let d(f) = 15*f**4 - 46*f**3 + 58*f**2 - f - 27. Let r(p) = -4*d(p) - 5*k(p). Solve r(x) = 0 for x.
-2/5, 1/2, 2, 3
Suppose 7 - 5 = -3*d - 5*a, 0 = -2*d + 54*a + 56. Factor 1/6*s + 1/6*s**3 + d - 2/3*s**2.
(s - 3)*(s - 2)*(s + 1)/6
Let b(y) be the third derivative of -y**6/480 + 9*y**5/80 - 35*y**4/24 + y**2 + 699*y. Factor b(f).
-f*(f - 20)*(f - 7)/4
Let f = 238 + -239. Let m(u) = -6*u**3 + u**2 - 2. Let x be m(f). Factor 8/3*y**4 - 5/3*y**x + 0*y - 1/3*y**3 + 0 - 2/3*y**2.
-y**2*(y - 1)**2*(5*y + 2)/3
Let h be 3 + 1 + -2 + (-1 - -2). Suppose u - h*u + 7 = -o, -15 = -3*u. Let 6/5*g + 0 + 3*g**o + 33/5*g**2 = 0. Calculate g.
-2, -1/5, 0
Let o(k) = 318*k + 1912. Let t be o(-6). Suppose 0 + 3/4*z + 5/4*z**2 + 1/4*z**3 - 1/4*z**t = 0. Calculate z.
-1, 0, 3
Factor 138/5*v + 1/5*v**2 + 4761/5.
(v + 69)**2/5
Factor 0 - 1638/5*k + 2/5*k**2.
2*k*(k - 819)/5
Let p(o) = -34*o**4 - 18*o**3 + 28*o**2 + 240*o + 198. Let h(f) = 3*f**4 - f**3 - 2*f - 3. Let r(c) = 10*h(c) + p(c). Let r(j) = 0. Calculate j.
-7, -2, -1, 3
Let u be 56/80 + 1/(-5) - (-15)/(-30). Let h(q) be the second derivative of u - 16*q + 5/18*q**3 - 1/36*q**4 - 2/3*q**2. Factor h(j).
-(j - 4)*(j - 1)/3
Solve -2/13*m**4 - 28/13*m**3 + 432/13*m - 8/13*m**2 - 576/13 = 0 for m.
-12, -6, 2
Suppose -3*k = 5*b - 25, 3*b = -3*k + 6*b + 9. Factor -4*w**2 + w**5 - k*w**3 + 9*w**2 - w**4 - 4*w**2 + 8*w + 4.
(w - 2)**2*(w + 1)**3
Solve 7*j - 4*j**2 + 21*j - 32 - 17 - 4*j + 17 = 0 for j.
2, 4
Let w(y) = 15*y + 9. Let n be w(9). Suppose -22*q + 61*q = 156. Factor 126*k**q + 140*k**2 - 59*k**4 - n + 48*k - 48*k**3 - 63*k**4.
4*(k - 6)**2*(k - 1)*(k + 1)
Let t(w) be the third derivative of -w**6/480 - 121*w**5/240 + 4*w**4/3 + 61*w**3/2 + 202*w**2 - 5*w. Find x such that t(x) = 0.
-122, -2, 3
Suppose -428*y = -423*y + 20. Let r(o) = -27*o - 103. Let u be r(y). Factor -3/7*h - 4/7*h**3 - 12/7*h**4 + 2*h**2 + h**u - 2/7.
(h - 1)**3*(h + 1)*(7*h + 2)/7
Let c(j) = -4*j + 10. Let s be c(2). Factor q**3 + q**3 - q**2 - 11*q**s - 4*q**3.
-2*q**2*(q + 6)
Let o be -1 + (-2 + (-2)/3)*(-42)/108. Let j(a) be the first derivative of 0*a + 1/18*a**2 + 14 - o*a**3. Find l, given that j(l) = 0.
0, 1
Let k(v) be the second derivative of -v**5/60 - 199*v**4/36 + 100*v**3/9 - 156*v. Suppose k(w) = 0. What is w?
-200, 0, 1
Suppose -2*i + 23 - 31 = 0. Let k be (-21881)/i - 12/(-16). Factor -36 + 5471*y - k*y + 4*y**2.
4*(y - 3)*(y + 3)
Let r(x) be the second derivative of 151*x + 0 - 1/4*x**5 - 10/3*x**4 - 25*x**2 + 95/6*x**3. Solve r(i) = 0.
-10, 1
Let q(h) = h**3 - 5*h**2 + 19*h - 46. Let g be q(4). Factor -14*o**3 + g*o**2 + 23*o**3 - 4*o**3 + 16 - 6*o**3 + 31*o.
-(o - 16)*(o + 1)**2
Let i = -4584 - -4590. Let k(j) be the first derivative of -1/18*j**4 + 16/9*j - 16 - 1/27*j**i - 20/27*j**3 + 4/9*j**2 + 8/45*j**5. Factor k(m).
-2*(m - 2)**3*(m