(y - 3)*(y + 1)*(y + 15)
Let i(s) = 2*s - 16. Let v be i(9). Suppose 20*b**2 - 15*b**v - 6*b**4 + b**4 + 10*b**3 - 10*b = 0. Calculate b.
-1, 0, 1, 2
Let t(m) be the third derivative of 0 + 0*m - 1/150*m**5 + 0*m**3 + 50*m**2 - 1/15*m**4. Factor t(k).
-2*k*(k + 4)/5
Let c(z) be the third derivative of 4*z**6/195 + z**5/390 - 4*z**4/39 - z**3/39 - 5*z**2 - 23*z. Let c(d) = 0. Calculate d.
-1, -1/16, 1
Let q(v) = -2 - 5*v**2 - v - 3 + v**3 + 0*v**3 + 5*v. Let g be q(5). Suppose 3 + 3*i**3 + 3 + 3*i**2 + g*i + 9*i**2 = 0. Calculate i.
-2, -1
Let c(t) = t**2 + 4*t - 17. Let q be c(-7). Suppose a - 3 = -5*m - 4, -2*m = q*a - 14. Factor 2*r**2 - 2*r**2 + a*r**2 + 8*r**2 - 4*r.
4*r*(3*r - 1)
Let z be ((-3)/(-2))/((-9)/(-12)). Suppose -6*g = -2*g - 5*s + 3, -2*g = 3*s - 15. Solve 3*c**5 + 0*c**2 - 7*c**4 - 41*c**3 + 46*c**g - c**z = 0.
0, 1/3, 1
Let c = 6107/12210 - 1/6105. Solve c*b**2 + b + 1/2 = 0.
-1
Let j(k) be the first derivative of -3*k**4/4 + 4*k**3 + 33*k**2/2 + 18*k + 11. Find d, given that j(d) = 0.
-1, 6
Determine f, given that 0*f - 1/5*f**2 + 7/10*f**3 - 4/5*f**4 + 3/10*f**5 + 0 = 0.
0, 2/3, 1
Let k(v) = v**3 + v**2. Let s(u) = -6*u**3 - 5*u**2 + u. Let m(a) = 14*k(a) + 2*s(a). Solve m(y) = 0.
-1, 0
Let c(g) be the third derivative of g**5/15 + g**4/3 + 2*g**3/3 - 516*g**2. Factor c(s).
4*(s + 1)**2
Let x = 25022/7 - 3574. Factor -x*j**2 + 12/7 - 8/7*j.
-4*(j - 1)*(j + 3)/7
Let u = -45/77 + 8/11. Let h = 3/28 + u. Determine r so that 0*r - 1 + h*r**3 + 3/4*r**2 = 0.
-2, 1
Factor 5*c - 10 + 17*c**3 - 2*c**3 + 10*c**2 - 7*c**3 - 13*c**3.
-5*(c - 2)*(c - 1)*(c + 1)
Let f be (-4 + 210/48)/(405/12). Let b(d) be the third derivative of 1/12*d**4 + 2*d**2 + 0*d**3 + f*d**5 + 0 + 0*d. Let b(x) = 0. What is x?
-3, 0
Suppose 2*j = -4*n + 10, -2*n = -3*n + 4*j - 2. Suppose 3*b - 2*w = 2, -2*w + 1 = 3*b - 9. Let -n*r**b - 4/5*r + 0 - 6/5*r**3 = 0. Calculate r.
-1, -2/3, 0
Let m = 5454 + -5450. Factor 2/7*o**m - 3/7*o**2 + 0 - 2/7*o + 3/7*o**3.
o*(o - 1)*(o + 2)*(2*o + 1)/7
Suppose -6*g - 2*q = -2*g + 74, 3*g = 4*q - 28. Let c be ((-39)/52)/(6/g). Factor -4/5*d**c + 2/5*d**4 + 2/5 + 4/5*d**3 - 2/5*d**5 - 2/5*d.
-2*(d - 1)**3*(d + 1)**2/5
Let 13356*s**2 + 67 + 131 - 13353*s**2 + 75*s = 0. Calculate s.
-22, -3
Let r(o) be the first derivative of -o**4/8 - o**3/3 + 13*o**2/4 - 5*o - 172. Factor r(x).
-(x - 2)*(x - 1)*(x + 5)/2
Suppose 0 = v + p - 6, -p + 7 = -5*v + 25. Let k be (-5)/10 + 10/v. Let 12*f**4 - 5*f**4 - k*f**4 + 320*f + 60*f**3 + 240*f**2 = 0. What is f?
-4, 0
Let h = 387 + -351. Suppose -4*a + 261 = -87. Solve 110*c + h*c**2 + 21 + a + 4*c**3 - 2*c = 0 for c.
-3
Let k = 2107 - 10534/5. Let l = -142/15 - -29/3. Factor l*w**2 + 0*w + 0 - k*w**3.
-w**2*(w - 1)/5
Let a(d) be the first derivative of -2*d**3/39 + 19*d**2/13 - 36*d/13 + 247. What is l in a(l) = 0?
1, 18
Suppose -20*a + 172 = -248. Suppose -6 = -9*c + a. Suppose -2/7*l**c + 0*l + 0 + 4/7*l**2 = 0. What is l?
0, 2
Factor -11 + 14273*s**2 + 47 - 41*s - 14278*s**2.
-(s + 9)*(5*s - 4)
Let z(x) be the first derivative of x**5/5 - 11*x**4/4 + 13*x**3 - 49*x**2/2 + 20*x + 185. Factor z(m).
(m - 5)*(m - 4)*(m - 1)**2
Suppose 0 = -3*c + 2*t - 6, 8 = 2*c - 5*t + 1. Let x be c/(-5)*(-30)/(-12). Suppose 0*p**x + 3 + 1 + 3*p - 3*p**2 - 3*p**3 - 1 = 0. Calculate p.
-1, 1
Let y be 6/(-15) - 18190/(-24600). Let i = -1/164 + y. Solve -1/3*j**4 + 0*j**3 + i*j**2 + 0 + 0*j = 0.
-1, 0, 1
Let i = -12 - -7. Let t = 75 + -72. Let s(h) = 41*h**3 + 105*h**2 + 53*h - 11. Let w(n) = 21*n**3 + 53*n**2 + 27*n - 5. Let u(c) = i*w(c) + t*s(c). Factor u(o).
2*(o + 1)*(o + 2)*(9*o - 2)
Determine k, given that -111/2*k**2 - 611/6*k - 2/3*k**4 - 32/3*k**3 - 169/3 = 0.
-13/2, -2, -1
Let f(r) be the first derivative of -5/4*r + 1/12*r**3 + 23 - 1/2*r**2. Suppose f(o) = 0. What is o?
-1, 5
Let t(m) be the third derivative of -49*m**6/1440 - 7*m**5/80 - 3*m**4/32 - 2*m**3 + 5*m**2. Let w(h) be the first derivative of t(h). Solve w(o) = 0.
-3/7
Let p = 350 + -337. Let d be 1/(((-13)/(-2))/p). Suppose -2/9*n**3 + 1/9*n + 1/9*n**4 + 1/9 + 1/9*n**5 - 2/9*n**d = 0. What is n?
-1, 1
Let r(k) be the third derivative of 4*k**2 - 3/20*k**4 + 0*k - 2/15*k**3 - 2/25*k**5 + 0 - 1/60*k**6. Determine b so that r(b) = 0.
-1, -2/5
Let w = 304/71 - 2969/710. Find y, given that w*y**4 - 3/10*y**2 + 0 + 1/5*y + 0*y**3 = 0.
-2, 0, 1
Let i be (5/(-27))/((-10)/12). Let h be ((-1)/1*0)/(-2). Find n, given that -i*n**4 - 4/9*n**3 - 2/9*n**2 + 0*n + h = 0.
-1, 0
Let -73*k + 9*k**2 + 233*k + 12*k**2 - 26*k**2 - 300 = 0. Calculate k.
2, 30
Let d(n) be the third derivative of n**5/60 + 5*n**4/24 - 6*n**3 + 422*n**2. Suppose d(m) = 0. Calculate m.
-9, 4
Let u(t) be the third derivative of -1/24*t**5 + 0 + 0*t + 1/24*t**4 + 1/84*t**7 + 9*t**2 - 1/120*t**6 + 0*t**3. Let u(d) = 0. What is d?
-1, 0, 2/5, 1
Let o(j) = j**5 + 10*j**4 + 13*j**3 - 68*j**2 - 280*j - 192. Let c(g) = g**3 + g. Let n(r) = -40*c(r) - 5*o(r). Factor n(k).
-5*(k - 3)*(k + 1)*(k + 4)**3
Suppose 4*z + 38 = 5*n, -n - 2*n + 39 = 3*z. Let r be 17/4 + -14 + n. Factor 3/4*o + 0 - o**2 + r*o**3.
o*(o - 3)*(o - 1)/4
Suppose -f = -6*f + 65. Let q = 16 - f. Let -15*u**2 + 5*u**4 + 2*u**3 + 4*u + 1 + q + 0*u**4 = 0. What is u?
-2, -2/5, 1
Suppose 3*y = -21 + 36. Let j(x) = -5*x + 27. Let p be j(y). Let -3/5*c**4 + 6/5*c**3 + 0 - 3/5*c**p + 0*c = 0. Calculate c.
0, 1
Let p(f) be the first derivative of f**6/24 - 5*f**5/12 + 5*f**4/4 - 31*f**2/2 + 1. Let z(v) be the second derivative of p(v). Solve z(x) = 0 for x.
0, 2, 3
Suppose -k - 77 = -5*a - 3*k, -4*k = 4*a - 52. Let v = 21 - a. Suppose -12/7 - 81*l**v + 918/7*l**3 - 531/7*l**2 + 132/7*l = 0. Calculate l.
2/7, 1/3, 2/3
Let -1/8*c**5 - 1/8*c**4 + 0 - 1/4*c + 3/8*c**3 + 1/8*c**2 = 0. What is c?
-2, -1, 0, 1
Suppose -4 - 5*y**3 + 12*y**3 + 4*y**2 - 4*y**3 - 6*y**3 + 3*y**2 = 0. Calculate y.
-2/3, 1, 2
Let w be 16/28*42/12. Let t(u) be the second derivative of 1/189*u**7 - 1/54*u**4 + 6*u + 0*u**3 + 0 + 0*u**w + 1/135*u**6 - 1/90*u**5. Factor t(f).
2*f**2*(f - 1)*(f + 1)**2/9
Let 0*d - 34 + 5*d + 2*d**2 + 64 + 11*d = 0. What is d?
-5, -3
Let x(b) be the first derivative of 13/6*b**3 - 9/4*b + 7 + 9/32*b**4 + 69/16*b**2. Suppose x(k) = 0. What is k?
-3, 2/9
Let a(b) be the second derivative of 0*b**3 + 5*b**2 - 1/420*b**6 + 1/210*b**5 + 0 + 4*b + 1/42*b**4. Let q(n) be the first derivative of a(n). Factor q(d).
-2*d*(d - 2)*(d + 1)/7
Let a be 3 + 490/(-364) + 2/(-13). What is b in -45/2*b**2 + 3 + a*b = 0?
-1/3, 2/5
Factor 57/7*f - 144/7 - 3/7*f**2.
-3*(f - 16)*(f - 3)/7
Determine q so that q**2 - 4*q**5 + 3*q + 20*q**3 + 8 - 11*q**2 - 19*q + 2*q**4 = 0.
-2, -1, 1/2, 1, 2
Factor -1/4*m**3 + 25/2*m**2 + 0 - 625/4*m.
-m*(m - 25)**2/4
Let f be ((-4)/((-64)/(-48)))/(-1*1). Let r(g) be the first derivative of 20/9*g**f - 16/3*g**2 - 16/3*g - 4. Factor r(l).
4*(l - 2)*(5*l + 2)/3
Solve -5/3*v**3 + 1/9*v**4 + 13/9*v**2 + 5/3*v - 14/9 = 0 for v.
-1, 1, 14
Let g(c) = 3*c - 14. Let m be g(8). Factor 5 + 48*w**4 + 7*w**3 - m*w + 3*w**3 - 53*w**4.
-5*(w - 1)**3*(w + 1)
Let o(z) be the third derivative of -7*z**2 - 1/210*z**5 + 0*z**3 - 1/84*z**4 + 0*z + 0. Determine v, given that o(v) = 0.
-1, 0
Let w(u) be the second derivative of u**6/6 + u**5 - 65*u**4/6 - 50*u**3 + 1125*u**2/2 - 6*u + 8. Factor w(f).
5*(f - 3)**2*(f + 5)**2
Let x = -52 + 55. Factor -j**4 - 4*j**3 - j**2 + 9*j**3 - 3*j**x.
-j**2*(j - 1)**2
Let k(w) be the third derivative of w**7/70 - w**6/20 + w**4/4 - w**3/2 + 11*w**2 - 2. Let k(c) = 0. What is c?
-1, 1
Let m(y) = 3*y**2. Let i(u) = -u**2 - u. Let c(r) = 4*r**2 + 3*r. Let g(x) = -c(x) - 3*i(x). Let h(j) = 15*g(j) + 6*m(j). Factor h(v).
3*v**2
Let p(h) be the second derivative of h**4/3 - 584*h**3/3 + 42632*h**2 - 125*h. What is r in p(r) = 0?
146
Let n(r) be the second derivative of r**7/14 - 2*r**6/5 + 4*r**4 - 8*r**3 - 408*r. Suppose n(y) = 0. What is y?
-2, 0, 2
Factor 27*x - 2*x**3 - x**3 + 47 + 3*x**2 - 32 - 42.
-3*(x - 3)*(x - 1)*(x + 3)
Suppose 51*r + 488 = 692. Factor 1/2*z**5 - z**3 + z**4 - r*z**2 - 1 - 7/2*z.
(z - 2)*(z + 1)**4/2
Let v(y) be the second derivative of y**9/9072 + y**8/5040 - 3*y**3/2 - 10*y. Let l(p) be the second derivative of v(p). Factor l(m).
m**4*(m + 1)/3
Solve 6*k**2 - k**2 - 169*k + 294*k = 0.