 268/5*v**2 = 0?
-5, -3, -1
Suppose p - 3*p + 5*n - 37 = 0, 0 = n + 1. Let q = p - -23. Suppose -5*t - q*t**2 - 7*t + 10*t = 0. Calculate t.
-1, 0
Let p(s) be the second derivative of s**6/90 + s**5/30 - s**4/9 - 4*s**3/9 - 3*s. Let p(c) = 0. Calculate c.
-2, 0, 2
Let l(i) be the first derivative of -i**3/2 + 24*i - 76. Solve l(m) = 0 for m.
-4, 4
Let g(w) be the second derivative of -w**6/72 - w**5/3 - 10*w**4/3 - 14*w**3/3 - 7*w. Let c(j) be the second derivative of g(j). Factor c(k).
-5*(k + 4)**2
Let c be 41/24 - (430/80 + -5). Let h = 39 + -116/3. Factor -c*f + 4/3 + h*f**2.
(f - 2)**2/3
Factor 2/3*j**4 + 18*j + 20/3 + 50/3*j**2 + 6*j**3.
2*(j + 1)**2*(j + 2)*(j + 5)/3
Factor 39*i**2 - 3*i**3 + 89*i - 242*i + 1 + 188.
-3*(i - 7)*(i - 3)**2
Let k(y) be the second derivative of 7*y**4/6 - 16*y**3/3 - 23*y**2 - 274*y. Factor k(m).
2*(m + 1)*(7*m - 23)
Let x = 244 - 239. Let r(g) be the third derivative of 0 + 1/420*g**6 + 0*g**3 + 2*g**2 + 0*g + 0*g**x + 0*g**4. Solve r(t) = 0 for t.
0
Let u(m) be the first derivative of -1/2*m**6 + 39 + 3*m**3 - 9/5*m**5 + 0*m + 3*m**2 - 3/4*m**4. Find r such that u(r) = 0.
-2, -1, 0, 1
Let i(s) be the second derivative of -s**7/168 + s**5/80 + 379*s. Factor i(j).
-j**3*(j - 1)*(j + 1)/4
Suppose 152*i - 148*i - 3*v - 22 = 0, 5*v = -5*i + 10. Let l(x) be the second derivative of -13*x + 1/6*x**i + 1/3*x**3 + 0*x**2 + 0. Factor l(t).
2*t*(t + 1)
Let n be ((-20)/(-8))/5*46. Factor 3*f + 12*f**2 - 8*f**2 - n*f.
4*f*(f - 5)
Let t(z) be the first derivative of -5*z**4/12 - 5*z**3/2 - 5*z**2 - 3*z + 4. Let b(d) be the first derivative of t(d). Factor b(u).
-5*(u + 1)*(u + 2)
Let d be (5/(-15))/((-3)/18). Solve -12*x - 7*x**2 - 9*x**d - 8 - 16*x + 8*x - 4*x**3 = 0.
-2, -1
Let a = 4998/551 - 260/29. Solve -a*v**2 - 8/19 + 8/19*v = 0.
2
Let w be (-79440)/(-3780) - (-4)/(-9). Factor w + 12/7*q**2 - 72/7*q - 2/21*q**3.
-2*(q - 6)**3/21
Factor 52*g**3 + 18*g**4 + 4*g**4 - 192*g**3 - 17*g**4.
5*g**3*(g - 28)
Let v be ((-4)/(-18))/((-1)/(-6)). Suppose 0 = -5*q + 3*a + 12, -5*q + 57*a = 62*a + 20. Factor -v*t**2 + q + 1/3*t.
-t*(4*t - 1)/3
Let r(y) be the first derivative of -2*y**5/5 + y**4/2 + 86*y**3/3 - y**2 - 84*y - 175. Let r(w) = 0. Calculate w.
-6, -1, 1, 7
Let o be (-1116)/(-156) - 4/26. Suppose -5*y = o - 17. Solve n**3 - n**y + 2*n - 3*n + 0*n**2 - n = 0 for n.
-1, 0, 2
Let f be (-3 - -5) + 2 - 4. Factor -1/2*s**2 + f*s + 2.
-(s - 2)*(s + 2)/2
Let m(y) be the first derivative of y**3/6 - 5*y**2/4 - 7*y + 154. Factor m(v).
(v - 7)*(v + 2)/2
Let y = -2210 - -2213. Factor -10/3*a**2 - 8/3*a**y - 2/3*a**4 - 4/3*a + 0.
-2*a*(a + 1)**2*(a + 2)/3
Let n(h) = 28*h**2 + 22*h + 2. Let l(c) = -c**3 + c**2 - c + 1. Let k(y) = 2*l(y) - n(y). Suppose k(r) = 0. What is r?
-12, -1, 0
Suppose 0 = 761*n - 758*n - 6. Solve 5*w - 5/3*w**n - 10/3 = 0 for w.
1, 2
Suppose -3*i + 5*q + 17 = 0, 6*i - 17 = 2*i + q. Suppose 3*u - i*u + 5 = -2*l, 2*l - 4*u + 20 = 0. Suppose l*r - 2/7 + 2/7*r**2 = 0. What is r?
-1, 1
Factor -6*s**3 - 150 - 9/4*s**2 + 195/2*s + 3/4*s**4.
3*(s - 5)**2*(s - 2)*(s + 4)/4
Let f be (450/63 + -8)/(18/(-28)). Factor 0 + 25/6*i**4 - 35/3*i**3 - f*i + 22/3*i**2.
i*(i - 2)*(5*i - 2)**2/6
Let j = -534 + 536. Let k(w) be the third derivative of 2/15*w**3 - 1/60*w**4 + 0*w + 0 - 1/150*w**5 + w**j. Suppose k(g) = 0. What is g?
-2, 1
Suppose -34/13 - 66/13*x - 30/13*x**2 + 2/13*x**3 = 0. Calculate x.
-1, 17
Let b(t) be the first derivative of 0*t**2 + 1 - 1/4*t**3 + 9*t - 1/16*t**4. Let s(u) be the first derivative of b(u). Factor s(o).
-3*o*(o + 2)/4
Let n = 29 + -36. Let a be n/((-14)/6) - 1. Factor 5/3*h**a + 4/3*h**3 - 7/3*h - 2/3.
(h - 1)*(h + 2)*(4*h + 1)/3
Solve -12*r - 26*r**2 - r**4 + 6*r**4 + 3*r**4 - 43*r + 9*r**3 + r**5 - 24 + 3*r = 0 for r.
-6, -2, -1, 2
Suppose -21*y**4 - 3*y**4 + 2*y**4 + 102*y**2 - 26*y - 24 + 0*y**4 + 8*y**3 - 38*y**3 = 0. Calculate y.
-3, -4/11, 1
Let w = 407 + -407. Let l(o) be the first derivative of 0*o + 1/2*o**4 - 1/6*o**6 - 1/2*o**2 - 14 + w*o**5 + 0*o**3. Let l(v) = 0. Calculate v.
-1, 0, 1
Let q(w) = -w**3 - 32*w**2 - 25*w + 3. Let b(u) = u**3 + 2*u**2 - u - 1. Let j(r) = 3*b(r) + q(r). Factor j(p).
2*p*(p - 14)*(p + 1)
What is a in 1/7*a**4 + 9/7*a**2 + 0 + 0*a - 10/7*a**3 = 0?
0, 1, 9
Factor 766*u**2 + 13*u - 5*u - 780*u**2 + 5*u**4 - 17*u**3.
u*(u - 4)*(u + 1)*(5*u - 2)
Let r(l) be the third derivative of l**7/70 - l**6/20 + l**4/4 - l**3/2 - 108*l**2. Factor r(j).
3*(j - 1)**3*(j + 1)
Let m(u) be the third derivative of 0 - 3/14*u**4 + 6*u - 11/210*u**5 + 1/735*u**7 + 0*u**6 - 8/21*u**3 - 3*u**2. Let m(n) = 0. What is n?
-2, -1, 4
Let z(g) = -9*g**3 + 324*g**2 - 8738*g + 78727. Let i(o) = 22*o**3 - 810*o**2 + 21846*o - 196818. Let f(n) = 5*i(n) + 12*z(n). Factor f(m).
2*(m - 27)**3
Let m(g) be the third derivative of -g**8/84 + 8*g**7/105 + g**6/30 - 4*g**5/15 - 109*g**2. Suppose m(t) = 0. What is t?
-1, 0, 1, 4
Let k be (-4)/(-3)*(-7)/(-28). Let r(j) be the first derivative of 0*j + 2*j**5 + k*j**6 - 6 + 3*j**4 - 8/3*j**3 - 8*j**2. Find p such that r(p) = 0.
-2, 0, 1
Let x = -94/3 + 32. Let d(g) be the second derivative of 1/6*g**4 + g**2 - x*g**3 - 9*g + 0. Determine s so that d(s) = 0.
1
Suppose 255 = 5*v + 250. Let o = -2/3 + v. Find b, given that -1/3*b**3 + o*b - 1/3*b**2 + 1/3 = 0.
-1, 1
Let 2*p**2 - p**2 - 3*p - 180 - 2*p**2 + 184 = 0. Calculate p.
-4, 1
Let f(h) be the third derivative of -5/12*h**3 + 1/120*h**5 + h**2 + 0 - 1/12*h**4 - 22*h. Solve f(y) = 0.
-1, 5
Let z be ((-14)/21)/((-3)/9). Factor 0*a + 4/5*a**z + 0.
4*a**2/5
Let k be 0/1 - (2 - 4). Factor d + 7*d**k - 4*d - 3*d - 4*d**2.
3*d*(d - 2)
Determine m, given that 3*m**5 + m + 9*m**3 - 12*m**2 - 15*m + 12*m**4 + 2*m = 0.
-2, -1, 0, 1
Let r(x) = x**3 - 3*x**2 + x + 2. Let f be r(3). Let v be f/(-6)*-2*3. Factor 5*m**4 - m**4 + 2*m**2 + 3*m**5 + 0*m**2 - 5*m**3 - 4*m**v.
-m**2*(m - 2)*(m - 1)**2
Let q(m) be the first derivative of -3*m**4/4 + 167*m**3 - 993*m**2/2 + 495*m + 402. Solve q(p) = 0 for p.
1, 165
Let s(i) be the second derivative of -i**8/9240 - i**7/924 - i**6/660 + 3*i**5/220 - i**3/6 + 3*i. Let v(k) be the second derivative of s(k). Factor v(c).
-2*c*(c - 1)*(c + 3)**2/11
Let d(v) be the second derivative of v**5/60 + v**4/6 + v**3/2 - 22*v. Factor d(t).
t*(t + 3)**2/3
Let a(q) = -4*q**3 - 3*q**2 - 5*q - 4. Let w be a(-1). Factor -3/2*d**3 - 9*d - 3 - 27/4*d**w.
-3*(d + 2)**2*(2*d + 1)/4
Let l(v) = -5*v + 4. Let p be l(-3). Factor p*o + 36 + 10*o + 11*o + 4*o**2.
4*(o + 1)*(o + 9)
Suppose 3*n + 2*f = -0*n + 5, -6 = -4*n - 2*f. Suppose 4*c = -0*c - 4*q + 40, n = -q. Factor -h**3 - c*h**2 + 2*h**2 + 12 - 2*h**3.
-3*(h - 1)*(h + 2)**2
Let k(c) be the third derivative of -c**5/30 - 2*c**4/3 + 20*c**3/3 - 169*c**2. Factor k(z).
-2*(z - 2)*(z + 10)
Let c(o) be the third derivative of 3*o**7/70 - 41*o**6/20 + 747*o**5/20 - 294*o**4 + 352*o**3 + o**2. Let c(z) = 0. Calculate z.
1/3, 8, 11
Suppose -24*j - 38*j - 12*j + 5920 = 0. Determine z so that -j + 20*z - 5/4*z**2 = 0.
8
Suppose 390 = 5*q - 2*l + 378, q - 5*l = 7. Factor 0 - 3/4*j**q + 0*j.
-3*j**2/4
Let o(n) be the third derivative of 1/108*n**4 - 1/360*n**5 - 4*n**2 + 1/3240*n**6 + 0 + 7/6*n**3 + 0*n. Let l(t) be the first derivative of o(t). Factor l(f).
(f - 2)*(f - 1)/9
Let g = 3 + -2. Let x be 4 + g + (-6)/2. Factor 7*p**2 - 1 - 2*p + 0*p - 8*p**x.
-(p + 1)**2
Solve -49/8 - 7/4*f - 1/8*f**2 = 0 for f.
-7
Let b = -7416/77 - -1072/11. Find q such that b*q + 6/7 + 2/7*q**2 = 0.
-3, -1
Let j(q) be the second derivative of -7/6*q**3 + 13/60*q**4 - 13*q - 1/100*q**5 - 49/10*q**2 + 0. Factor j(a).
-(a - 7)**2*(a + 1)/5
Find k, given that -90*k**2 + 8*k**4 + 4*k**5 + 24*k**2 - 30*k**2 - 132*k + 128*k**3 - 40*k**2 + 128*k**4 = 0.
-33, -1, 0, 1
Let w be (-31 - -1)/(2 + 4 + -9). Let m(d) be the second derivative of -w*d + 0 - 9/13*d**2 - 1/78*d**4 + 2/13*d**3. Factor m(u).
-2*(u - 3)**2/13
Let g(r) be the third derivative of r**6/24 + 5*r**5/6 + 85*r**4/24 + 20*r**3/3 + 2*r**2 - 28*r. Let g(x) = 0. Calculate x.
-8, -1
Suppose 0 = -5*l + 17*l - 60. Let x(t) be the first derivative of -1 + 0*t**3 - 1/45*t**6 + 4/75*t**l + 0*t - 1/30*t**4 + 0*t**2. Factor x(d).
-2*d**3*(d - 1)**2/15
Let b(w) be the first derivative of 11*w**3/3 - 3*w**2/2 + 316. Solve