 derivative of p(w). Solve c(y) = 0 for y.
-3, 1
Let u(i) be the second derivative of -27*i**7/56 - 147*i**6/40 + 869*i**5/80 - 119*i**4/48 - 25*i**3/3 - 7*i**2/2 + i + 20. Let u(s) = 0. What is s?
-7, -2/9, 1
Suppose -311 = 2*j + h, 335 = -4*j - 3*h - 292. Let s be -4*(j/(-60) - 2) + 3. Factor -s*b**2 + 0 + 8/5*b + 4/5*b**4 - 8/5*b**3.
4*b*(b - 2)*(b - 1)*(b + 1)/5
Let m = -1180 + 1180. Let a(v) be the third derivative of 11*v**2 - 1/15*v**5 + 0*v**4 + m*v + 0*v**3 + 0 - 1/60*v**6. Factor a(z).
-2*z**2*(z + 2)
Suppose -254*r = -272*r + 36. Factor 0*a**r - 2/7*a**5 + 0*a + 0*a**3 - 2/7*a**4 + 0.
-2*a**4*(a + 1)/7
Let r(o) be the second derivative of -1/6*o**6 - 65/12*o**4 + 0*o**2 - 5*o**3 - 2*o**5 - 2*o - 8. What is c in r(c) = 0?
-6, -1, 0
Let g = -2/797 - -3198/3985. Find c, given that g - 2*c**2 + 6/5*c = 0.
-2/5, 1
Let p(o) = 20*o**3 - 34*o**2 - 82*o - 42. Let k(i) = 7*i**3 - 11*i**2 - 28*i - 15. Let t(l) = -14*k(l) + 5*p(l). Suppose t(x) = 0. Calculate x.
-1, 0, 9
Let k be -5*(1 - 111/(-15)). Let l be (7/k)/((-5)/6). Factor -l*o**2 - 1/5 - 2/5*o.
-(o + 1)**2/5
Let t be 1128/(-987)*14/(-104). What is h in -8/13*h**4 + 0 + 0*h + t*h**5 + 0*h**2 + 8/13*h**3 = 0?
0, 2
Suppose -101306/11 - 222/11*x**2 + 2/11*x**3 + 8214/11*x = 0. What is x?
37
Let u(d) be the third derivative of 2/105*d**5 - 1/245*d**7 + 0*d**3 + 1/84*d**6 + 0*d + 0 - 1/21*d**4 + 18*d**2. Suppose u(c) = 0. Calculate c.
-1, 0, 2/3, 2
Let d(y) = -5*y**3 - 51*y**2 + 109*y - 53. Let s(h) = 11*h**3 + 102*h**2 - 217*h + 104. Let k(g) = 5*d(g) + 2*s(g). Let k(o) = 0. What is o?
-19, 1
Let j = 6303 + -18905/3. Factor -1/3*c + c**2 - j.
(c + 1)*(3*c - 4)/3
Let o be (-160)/(-50) - (-20)/25. Factor -1/4*t + 1/2 - 1/4*t**3 + 1/2*t**o - 3/2*t**2.
(t - 2)*(t + 1)**2*(2*t - 1)/4
Let x be (0/(-2))/(2 + -1). Let g be ((-10)/6 - -2)*x. Factor -16 - 8*r + g*r**2 + 0 - r**2.
-(r + 4)**2
Let f(j) be the first derivative of 3*j**5 - 25*j**4/2 + 5*j**3/3 + 15*j**2 + 86. Factor f(s).
5*s*(s - 3)*(s - 1)*(3*s + 2)
Let u = 27 + -24. Suppose 2*r + q + 9 = 4*r, 18 = 5*r - q. Factor -2/3*m**5 - u*m**r - 1/3*m - 5/3*m**2 - 7/3*m**4 + 0.
-m*(m + 1)**3*(2*m + 1)/3
Suppose 6*o + 8*o = -11*o + 9*o. Let -2/3*k + o + 2/3*k**2 = 0. Calculate k.
0, 1
Let 225*b**2 + 1054*b**2 - 968*b + 128 + 56*b - 36*b**5 + 353*b**4 + 785*b**2 - 1588*b**3 + 103*b**4 = 0. What is b?
1/3, 2, 8
Suppose 2*y - 4 = -5*v, 0*y - 5*y = -3*v + 52. Let i = y + 15. Factor 3*s**4 - 8*s**3 - 2*s - 7*s**3 + i*s**3 + 0*s**3 + 7*s**2.
s*(s - 1)**2*(3*s - 2)
Suppose 4*s = -4*v + 5*s + 5, -2*v - 5 = s. Factor v + 1/5*w**2 + 1/5*w.
w*(w + 1)/5
Let a(v) be the second derivative of -2*v**6/15 + 16*v**5/5 - 14*v**4 + 80*v**3/3 - 26*v**2 - 50*v - 2. Solve a(j) = 0 for j.
1, 13
Determine p so that 156 + 130 - 18*p - 313 - 3*p**2 = 0.
-3
Let d be (-5)/((-20)/11) + 1602/(-792). Factor -4/11*m**3 + 0 - 18/11*m**4 - d*m**5 + 0*m**2 + 0*m.
-2*m**3*(m + 2)*(4*m + 1)/11
Let u be (-12)/(-22)*(-17072)/(-1746). Suppose -4*a**2 + u + 0*a + 4/3*a**3 = 0. What is a?
-1, 2
Factor -24 + s**3 - s**3 - 52*s - 3*s**2 + 4*s**3 + 4*s**4 - 25*s**2.
4*(s - 3)*(s + 1)**2*(s + 2)
Let f be 1 - (-4 - ((-259)/56 + 6/(-16))). Let -1/2*n**3 + 1/2*n**5 + 0*n**4 + f*n + 0*n**2 + 0 = 0. What is n?
-1, 0, 1
Factor 2/3*w**3 + 16/3 - 2*w**2 - 4*w.
2*(w - 4)*(w - 1)*(w + 2)/3
Let f(u) be the second derivative of -5*u**4/12 + 25*u**3/3 - 40*u**2 - 46*u. Solve f(i) = 0 for i.
2, 8
Let j(c) = -c**2 - 32*c - 31. Let u be (-6 + 480/18)*(-3)/2. Let b be j(u). Factor 0*t + b - 1/2*t**3 - 1/2*t**2.
-t**2*(t + 1)/2
Let p be 420/225 - (-17)/(510/(-20)). Factor -6/5*z**3 + p*z + 3/5*z**4 - 3/5 + 0*z**2.
3*(z - 1)**3*(z + 1)/5
Let a be (5 - 4) + (2 - 1). Determine v so that 5*v**4 + 3*v**3 + a*v**3 + 367 - 367 = 0.
-1, 0
Let f be (-150)/(-15) - (-1 - -8). Factor 250/17 + 2/17*t**f + 30/17*t**2 + 150/17*t.
2*(t + 5)**3/17
Find p, given that -1458*p + 579*p**2 + 2*p**4 + 106*p**3 + 265*p**2 + 24*p**2 + 452*p**2 + 30*p**2 = 0.
-27, 0, 1
Factor 114/7*b + 2/7*b**2 - 116/7.
2*(b - 1)*(b + 58)/7
Let q(o) be the first derivative of o**3/3 - 20*o**2 + 400*o - 121. Factor q(x).
(x - 20)**2
Let m(d) be the second derivative of d**5/40 - d**4/12 + d**3/12 + 26*d - 1. Suppose m(y) = 0. What is y?
0, 1
Suppose 4*z + 7 = -4*r + z, 3*r - 3*z - 21 = 0. Let -r*i**4 - 2*i**5 + 7*i**4 + 7*i**4 - 3*i + 12*i**2 - i**5 - 18*i**3 = 0. Calculate i.
0, 1
Let t(z) = -4*z**3 + 2*z - 1. Let j be t(1). Let m(k) = -2*k**2 - 10*k + 25. Let v(n) = 5*n**2 + 30*n - 75. Let r(q) = j*v(q) - 8*m(q). Factor r(i).
(i - 5)**2
Suppose -4*b - 6 = -5*h, 0 = 2*h + b - 2*b - 3. Factor -33 + 55*z - 33*z**2 - 11 - 6 + 28*z**h.
-5*(z - 10)*(z - 1)
Suppose 0 = -23*b + 32*b - 216. Suppose -b*a + 56 = -64. What is x in -6*x**2 + 3 + 3/2*x**a - 3*x**3 + 3*x**4 + 3/2*x = 0?
-2, -1, 1
Let t(u) be the first derivative of -u**5/240 + u**4/48 - 16*u**2 + 41. Let b(l) be the second derivative of t(l). Let b(s) = 0. What is s?
0, 2
Let a(m) be the third derivative of -7*m**7/15 - 14*m**6/5 + 18*m**5/5 - 4*m**4/3 + 2*m**2 + 1. Suppose a(q) = 0. What is q?
-4, 0, 2/7
Suppose 18 - 20*l**3 + 52 - 14 + 24*l**2 + 2*l**4 + 8 + 48*l**2 - 112*l = 0. What is l?
2, 4
Let h(d) be the first derivative of -1 + 1/5*d + 0*d**2 - 1/15*d**3. Determine j so that h(j) = 0.
-1, 1
Let s = -16 + 15. Let y(b) = -b**4 - b**3 + b**2. Let f(d) = 7*d**2 - 5*d**4 - d - 3*d**3 - 4 + 6 - 4. Let t(o) = s*f(o) + 4*y(o). Factor t(v).
(v - 2)*(v - 1)*(v + 1)**2
Let i be 4/(-3)*9/(-3). Find x, given that -73 - 2*x**3 + 2*x**2 + i*x + 73 = 0.
-1, 0, 2
Let o = 31283/240 - 391/3. Let j(w) be the second derivative of 5/24*w**3 - 1/48*w**4 + 2*w - 3/8*w**2 - o*w**5 + 0. Factor j(b).
-(b - 1)**2*(b + 3)/4
Let i(m) be the first derivative of -5*m**4/4 - 70*m**3/3 - 15. Factor i(k).
-5*k**2*(k + 14)
Suppose 0*r + r = 2. Let t(w) = 4*w**2 + 4 - 1 - 1 - 3*w**2 + r*w. Let l(o) = o**2 + o + 3. Let n(h) = 4*l(h) - 6*t(h). Determine x, given that n(x) = 0.
-4, 0
Let j(h) be the second derivative of h**6/225 - 3*h**5/50 + 7*h**4/30 - 19*h**3/45 + 2*h**2/5 - 258*h. Factor j(l).
2*(l - 6)*(l - 1)**3/15
Let r(j) be the third derivative of j**5/120 - 11*j**4/12 + 121*j**3/3 + 23*j**2. Determine w, given that r(w) = 0.
22
Let w be (-14)/(-56) + 3/4. Let l be 60/(-144) - (-4)/6. Factor -w - l*v**2 + v.
-(v - 2)**2/4
Find h such that 0 + 1/3*h**3 + 1/6*h**2 - 1/6*h**4 - 1/3*h = 0.
-1, 0, 1, 2
Suppose 5*x = -4*n - 9, 3*n + 2*x + 4 = -1. Let j be ((-5)/3 - n)*-4. Suppose -4/3*y**4 + 4/3 + 0*y**2 + 8/3*y**3 - j*y = 0. Calculate y.
-1, 1
Factor 0 + 0*c**2 + 0*c + 1/6*c**4 + 1/6*c**3.
c**3*(c + 1)/6
Let s(x) be the first derivative of 125*x**6/8 + 45*x**5/4 + 45*x**4/16 + x**3/4 + 423. Let s(k) = 0. Calculate k.
-1/5, 0
Let r be (-6)/5 - (-10 - (-126)/15). Let o(b) be the first derivative of -r*b + 9/10*b**2 + 1/4*b**4 + 3 - 4/5*b**3. Factor o(g).
(g - 1)**2*(5*g - 2)/5
Suppose 8*r = 17*r - 36. Factor -85*f**3 - 2*f**r - 352*f**2 - 3*f**4 + 405*f + 37*f**2.
-5*f*(f - 1)*(f + 9)**2
Let g = -51063/817 - -1/1634. Let k = -60 - g. Factor 0 - 3/2*q**2 + k*q**3 - q.
q*(q - 1)*(5*q + 2)/2
Let j(s) be the first derivative of -s**6/450 + s**5/150 + 5*s**3/3 - 39. Let n(o) be the third derivative of j(o). Suppose n(b) = 0. Calculate b.
0, 1
Let j = -44 + 11. Let i be (4/j)/((-2)/3). Factor 2/11 + 4/11*o + i*o**2.
2*(o + 1)**2/11
Let q be (-7 - -9) + 1 + (-3 - 0). Suppose -1/3*b**2 + q*b + 1/3 = 0. Calculate b.
-1, 1
Let c(b) be the first derivative of b**4 + b**2 + 6*b + 11. Let n(o) = 3*o**3 + o + 4. Let k(p) = -5*c(p) + 7*n(p). Solve k(f) = 0 for f.
-1, 2
Factor -16/21*s + 2/21*s**2 + 0.
2*s*(s - 8)/21
Let l(w) = w**2 + 2*w + 4. Let b be l(-5). Let d = b - -6. Factor -d*h + 15*h**2 - h + 12 - 3*h**3 + 2*h.
-3*(h - 2)**2*(h - 1)
Suppose -22*s + 468 = 102*s - 7*s. Factor 3/5*o**2 - 4/5 - 1/5*o**s - 4/5*o + 2/5*o**3.
-(o - 2)**2*(o + 1)**2/5
Suppose 5*u - u + 40 = 0. Let p be (-3)/((-5)/(u/(-3))). Factor -c - 105 + 104 + c**3 + 3*c**2 - p*c**2.
(c - 1)*(c + 1)**2
Suppose -5*f = -4*k - 13, -2*k - 4 + 0 = 0. Suppose 0 = p - z - f, 0*p - p + 17 = 3*z. Factor 160/7*i + 32/7 + 240/7*i**2 - 270/7*i**4 - 162/7*i**p + 0*i**3.
-2*(i - 1)*(3*i + 2)**4/7
Solve 234*q**3 + 131220*q + 180*q**4 + 4*q**5 + 23280*q**2 + 3006*q**3 + 5880*q**2 + 