
4*(k - 3)*(k - 2)/5
Factor -42 + 35*v**3 - 25*v**2 - 18 + 50*v - 270*v.
5*(v - 3)*(v + 2)*(7*v + 2)
Let u = 11 - 5. Suppose 3*k - 3 - u = 0. Solve -3*x**2 + x**2 - 2*x**4 + 4*x**3 + k*x**4 - 3*x**4 = 0 for x.
0, 1
Let f be 1/(1*(0 + 2)/2). Let c(p) be the first derivative of f + 1/8*p**4 - 3/20*p**5 + 0*p + 0*p**2 + 0*p**3 + 1/24*p**6. Find w such that c(w) = 0.
0, 1, 2
Let z(x) = 12*x**2 - 188*x + 256. Let c(u) = -2*u**2 + u. Let w(v) = 12*c(v) + z(v). Factor w(y).
-4*(y + 16)*(3*y - 4)
Let o(z) be the first derivative of -15 + 2/5*z - 8/15*z**3 - 3/5*z**2. Determine x, given that o(x) = 0.
-1, 1/4
Let q(v) = 2*v**3 + 434*v**2 + 32876*v + 810468. Let s(n) = -n**2 + 2*n + 2. Let x(l) = q(l) - 10*s(l). Factor x(h).
2*(h + 74)**3
Let d(a) be the first derivative of -a**3/15 - 11*a**2/10 - 6*a - 354. Factor d(m).
-(m + 5)*(m + 6)/5
Let p(b) be the third derivative of 5*b**8/84 - 5*b**7/42 + b**6/24 - 27*b**2. Suppose p(o) = 0. Calculate o.
0, 1/4, 1
Suppose 8*t = t - 16*t. Factor -4/3*h**4 + 0*h**2 + t + 4/9*h**5 + 8/9*h**3 + 0*h.
4*h**3*(h - 2)*(h - 1)/9
Let a = -32877/2 + 16442. Factor -10*u - 9*u**2 - 4 - 1/2*u**4 - a*u**3.
-(u + 1)*(u + 2)**3/2
Let g(b) be the first derivative of -25*b**4 + 140*b**3 + 192*b**2 + 80*b + 27. Factor g(j).
-4*(j - 5)*(5*j + 2)**2
Let y(k) be the second derivative of -k**4/6 - 55*k**3/3 + 114*k**2 - 3*k - 53. Determine z, given that y(z) = 0.
-57, 2
Let v = -38 - -50. Factor 3*i**3 + 9*i**2 - v*i - 3*i**2 - 15*i**2.
3*i*(i - 4)*(i + 1)
Let f be (2/3)/(2/21). Determine x, given that 3*x**2 - 6*x**5 + 7*x**3 - 42 + f*x**5 + 42 + 5*x**4 = 0.
-3, -1, 0
Let a(z) be the third derivative of -z**5/12 - 5*z**4/12 + 5*z**3/2 + 35*z**2. Factor a(u).
-5*(u - 1)*(u + 3)
Solve 3/2*w - 3/2*w**2 + 0 = 0.
0, 1
Let x(r) be the first derivative of r**6/15 + 16*r**5/25 - 2*r**4 + 4*r**3/15 + 19*r**2/5 - 4*r - 245. Find w, given that x(w) = 0.
-10, -1, 1
Let n(u) be the second derivative of u**6/6 - u**5/4 - 85*u**4/12 - 25*u**3/2 - 2*u + 50. Suppose n(q) = 0. What is q?
-3, -1, 0, 5
Let s(n) be the second derivative of n**7/21 + 17*n**6/15 + 47*n**5/5 + 95*n**4/3 + 161*n**3/3 + 49*n**2 + 321*n. Factor s(x).
2*(x + 1)**3*(x + 7)**2
Let h(n) be the second derivative of n**5/360 - n**4/24 + n**3/4 - 4*n**2 + 7*n. Let t(l) be the first derivative of h(l). Let t(f) = 0. Calculate f.
3
Let b(s) be the second derivative of 2*s**5/35 - 113*s**4/42 + 116*s**3/3 - 28*s**2 + 9*s - 3. Find d such that b(d) = 0.
1/4, 14
Suppose 0 = 1559*h - 1561*h + 4. Factor 0 + 1/5*o**3 + 0*o**h - 1/5*o.
o*(o - 1)*(o + 1)/5
Let a(d) be the first derivative of d**6/7 - 3*d**5/7 + 3*d**4/7 - d**3/7 + 217. Let a(n) = 0. What is n?
0, 1/2, 1
Let x(v) be the third derivative of v**8/840 + 4*v**7/525 - 3*v**6/50 + 2*v**5/15 - 7*v**4/60 + 2*v**2 - v. Factor x(t).
2*t*(t - 1)**3*(t + 7)/5
Let o(v) be the first derivative of -v**3/12 - 41*v**2/4 - 1681*v/4 - 323. Factor o(m).
-(m + 41)**2/4
Let n(u) be the first derivative of u**6/3 + 12*u**5/5 + u**4 - 24*u**3 - 27*u**2 + 108*u + 46. Let n(s) = 0. What is s?
-3, 1, 2
Let b(p) = -4*p - 9. Let d be b(-6). Let 3*m**4 - 5*m**4 - 2 - 2 + d*m - 18*m**2 - m + 10*m**3 = 0. What is m?
1, 2
Let q = -5266559/55 - -95760. Let s = q + -35/11. Factor s*r**2 + 0 + 4/5*r - 2*r**3.
-2*r*(r - 1)*(5*r + 2)/5
Let l(n) = -n**2 - 3*n + 8. Let j be l(5). Let c be 0 - 393/(-72) - (-4)/j. Determine r so that 2/3*r**4 - 6 + 4*r + c*r**2 - 4*r**3 = 0.
-1, 1, 3
Let j be 1/(9/18 - 0). Let z(t) be the first derivative of 1/2*t**3 + t**2 - j*t + 1/10*t**5 - 4 - 1/2*t**4. Solve z(n) = 0.
-1, 1, 2
Let o(n) = -5*n**4 + 30*n**3 + 5*n**2 + 15. Let g(d) = -d**3 - d - 1. Let h(z) = -15*g(z) - o(z). Factor h(i).
5*i*(i - 3)*(i - 1)*(i + 1)
Let b be (-6*(-10)/180)/((-12)/(-5)). Let o(z) be the third derivative of 0*z - 1/18*z**3 + b*z**4 - 5/36*z**5 + 0 + 4*z**2. Determine a so that o(a) = 0.
1/5
Let i(q) = -8*q**2 + q + 2. Let t(n) be the first derivative of 7*n**3/3 - n**2 - n + 14. Let s(c) = 4*i(c) + 5*t(c). Suppose s(w) = 0. Calculate w.
1
Let v(m) be the second derivative of 25/2*m**2 + 1/12*m**4 - 5/3*m**3 + 0 + 12*m. Let v(h) = 0. What is h?
5
Suppose -193*b = -163*b. Factor 3/8*v - 3/8*v**3 + b + 0*v**2.
-3*v*(v - 1)*(v + 1)/8
Let t(i) be the third derivative of 0*i**4 + 0 - 1/180*i**6 - 1/1512*i**8 + 1/30*i**5 - 10*i**2 + 0*i + 0*i**3 - 1/189*i**7. Factor t(k).
-2*k**2*(k - 1)*(k + 3)**2/9
Let z(y) be the third derivative of y**8/1512 + y**7/135 + y**6/30 + 2*y**5/27 + 2*y**4/27 + 10*y**2 + 4. Let z(w) = 0. What is w?
-2, -1, 0
What is h in -12480*h - 320*h**3 - 4*h**4 - 5947 - 2521*h**2 + 534*h**2 - 4725*h**2 - 137 = 0?
-39, -1
Let -834*w + 8*w**3 + 373*w + 18*w**3 + 104*w**2 - 2243*w - 27*w**3 = 0. What is w?
0, 52
Let r(s) be the second derivative of 0 + 1/3*s**3 - 23*s - 1/6*s**4 + 0*s**2. Find l such that r(l) = 0.
0, 1
Let b(h) be the third derivative of -4*h**7/1365 + 3*h**6/260 + 7*h**5/195 - 3*h**4/13 + 8*h**3/39 + 3*h**2 - 18. Solve b(s) = 0.
-2, 1/4, 2
Let n(s) be the first derivative of 1/10*s**2 - 17 + 1/15*s**3 - 6/5*s. Suppose n(a) = 0. Calculate a.
-3, 2
Let x(f) be the third derivative of -f**7/3360 - f**6/720 - f**5/480 + 5*f**3/3 - 17*f**2. Let v(s) be the first derivative of x(s). Find q such that v(q) = 0.
-1, 0
Let i = -28 - -33. Let q(p) = -p + 5. Let r be q(i). Factor 0*v + r + 0*v**3 + 1/3*v**4 + 0*v**2.
v**4/3
Factor 56/3 - 1/6*d**2 + d.
-(d - 14)*(d + 8)/6
Let h(p) = p**3 - p. Let u(j) = 4*j**4 - 27*j**3 + 44*j**2 - 21*j. Let f(q) = -h(q) + u(q). Determine t so that f(t) = 0.
0, 1, 5
Find k such that 110*k**3 - 429*k - 436*k - 256 - 198*k**2 - 223*k - 30*k**2 - 8*k**4 = 0.
-2, -1/4, 8
Let f(k) = -3*k**2 - 6*k - 3. Let h(a) = -6*a**2 - 13*a - 7. Let z(q) = -q**2 + 9*q - 3. Let s be z(9). Let o(d) = s*h(d) + 7*f(d). Factor o(i).
-3*i*(i + 1)
Determine t so that -3/2*t**4 - 2/3 + 9/2*t**2 + 2*t + 1/3*t**3 = 0.
-1, 2/9, 2
Let s be (-27)/(-6 + 9) - (-43 - -14). Factor 10 - 35/2*g**3 - 95/2*g**2 - s*g.
-5*(g + 1)*(g + 2)*(7*g - 2)/2
Let g(b) be the first derivative of -49 + 2*b + 9/8*b**2 + 1/12*b**3. What is j in g(j) = 0?
-8, -1
Factor 2/17 + 6/17*a**3 - 10/17*a**2 + 2/17*a.
2*(a - 1)**2*(3*a + 1)/17
Suppose 0 = 4*r, 0 = -5*h + 3*r + 5 + 20. Let c be -1 + -5 + (h - -1). Suppose c + y - 4*y**3 - 1/2*y**2 - 5/2*y**4 = 0. What is y?
-1, 0, 2/5
Let v(p) be the first derivative of -p**4/28 + 11*p**3/7 - 15*p**2/7 - 64*p/7 + 360. Let v(r) = 0. What is r?
-1, 2, 32
Let n = -33 + 83. Solve -102*s**4 - n*s**4 - 1960*s**3 - 12*s**5 - 5000 - 7200*s**2 - 11500*s - 96*s**4 = 0.
-5, -2/3
Let y be (4/6)/((-180)/(-486)). Let q(a) be the first derivative of -y*a + 5 - 3/5*a**2 + 1/5*a**3. Find j such that q(j) = 0.
-1, 3
Factor 8 - 19 + 15*z**3 + 69*z - 66*z**2 - 7.
3*(z - 3)*(z - 1)*(5*z - 2)
Find v, given that -38*v - 35*v**3 - 2*v**4 - v**3 + 82*v - 8*v + 2*v**2 = 0.
-18, -1, 0, 1
Suppose -v = -5*x + 25, -15*v = -x - 10*v + 29. Let w(j) be the first derivative of 0*j**3 - 6 + 0*j - 1/18*j**x + 1/9*j**2. Solve w(f) = 0 for f.
-1, 0, 1
Suppose 5618/3*u + 2/9*u**3 + 297754/9 + 106/3*u**2 = 0. Calculate u.
-53
Let h be 63/49 - 415/(-581). Factor -2/5*q**h + 0 + 0*q.
-2*q**2/5
Let y(m) be the second derivative of 0 + 0*m**2 + 1/200*m**5 - 9*m + 1/120*m**4 + 0*m**3. Factor y(j).
j**2*(j + 1)/10
Let x be 5 + -2 + -5 + 21/6. Let k(q) be the first derivative of 3 + 1/2*q**4 - x*q**2 - 3/5*q**5 + 2/3*q**3 + q + 1/6*q**6. Let k(p) = 0. Calculate p.
-1, 1
Factor 0*z**2 - 3/8*z**4 + 3/2*z**3 + 6 - 6*z.
-3*(z - 2)**3*(z + 2)/8
Let c(q) = -4*q**4 + 8*q**3 - 5*q**2 - 8*q + 9. Let s(x) = -7*x**4 + 15*x**3 - 10*x**2 - 15*x + 17. Let i(r) = -5*c(r) + 3*s(r). Let i(t) = 0. Calculate t.
-1, 1, 2, 3
Let h = -819 + 823. Let s(g) be the second derivative of 2/3*g**3 + 2/3*g**h - 4*g**2 - 1/5*g**5 - 4*g + 0. Factor s(t).
-4*(t - 2)*(t - 1)*(t + 1)
Let v = -4 - -8. Suppose -60*k = -67*k + 21. Suppose 15*j**v - 7*j**3 + j**2 - 13*j**2 - 16 - 11*j**4 - j**k + 32*j = 0. What is j?
-2, 1, 2
Suppose -4*f - f**2 + 16 + 1/4*f**3 = 0. What is f?
-4, 4
Let c(g) be the first derivative of -g**5/180 + g**4/36 + 11*g**2/2 - 5. Let o(z) be the second derivative of c(z). Factor o(d).
-d*(d - 2)/3
Let j(a) be the third derivative of a**8/6720 - a**7/630 + a**6/180 + a**4/12