63*l**5/5 - 5*l**4 - 169*l. Determine m, given that t(m) = 0.
-5, -2, -2/7, 0
Let q(y) be the first derivative of -21 + 0*y - 6*y**3 + 0*y**2 - 1/48*y**4 - 1/2880*y**6 + 1/240*y**5. Let t(p) be the third derivative of q(p). Factor t(c).
-(c - 2)**2/8
Let n(o) = -4*o**2 + 5*o - 16. Let c = -45 + 52. Suppose -c*p - 5*p = 36. Let t(h) = 9*h**2 - 9*h + 32. Let j(r) = p*t(r) - 7*n(r). Factor j(w).
(w - 4)**2
Let q(a) be the first derivative of -1805*a**3/3 + 17670*a**2 - 172980*a + 15486. Factor q(v).
-5*(19*v - 186)**2
Suppose 5*r - 5*m - 35 = 0, 2873*m + 14 = -4*r + 2871*m. Factor 4/17*y**2 + 6/17*y**3 + 0 + r*y + 2/17*y**4.
2*y**2*(y + 1)*(y + 2)/17
Factor 1/2*b**2 + 779*b + 606841/2.
(b + 779)**2/2
Let n(d) be the third derivative of d**5/30 + 416*d**4/3 + 692224*d**3/3 + 164*d**2 - 3*d. Solve n(o) = 0 for o.
-832
Let y(z) = z**3 - z**2 - 3*z - 2. Let w(m) = -38*m**3 - 799*m**2 - 4833*m - 8630. Let h(n) = -w(n) - 5*y(n). Factor h(s).
3*(s + 4)**2*(11*s + 180)
Let u(s) = 4*s**2 + 140*s + 904. Let v(n) = -11*n - 1. Let l(r) = u(r) + 24*v(r). Factor l(h).
4*(h - 20)*(h - 11)
Let x(b) be the first derivative of 2*b**3/39 + 3832*b**2/13 + 7342112*b/13 + 6708. Suppose x(j) = 0. What is j?
-1916
Let q(d) be the third derivative of d**6/100 - 169*d**5/150 + 9*d**4/10 + 112*d**3/15 - 156*d**2 - 2*d. Let q(r) = 0. Calculate r.
-2/3, 1, 56
Let n(l) be the first derivative of -12*l**5/5 + 549*l**4/4 + 442*l**3 - 1431*l**2/2 - 432*l - 7942. Suppose n(c) = 0. Calculate c.
-3, -1/4, 1, 48
Let b(f) = 4*f**2 - 786*f + 3. Let s be b(0). Factor -1/6 - 1/6*j**s + 1/6*j**2 + 1/6*j.
-(j - 1)**2*(j + 1)/6
Let j(h) be the third derivative of h**5/90 + 65*h**4/6 + 389*h**3/9 - 194*h**2. What is u in j(u) = 0?
-389, -1
Let i(k) be the first derivative of 2*k**5/5 - k**4/2 - 14*k**3/3 + k**2 + 12*k - 405. Determine h so that i(h) = 0.
-2, -1, 1, 3
Let k(n) = 49*n**4 + 75*n**3 + 23*n**2 - 3*n + 80. Let b(y) = -97*y**4 - 151*y**3 - 47*y**2 + 7*y - 144. Let u(s) = 5*b(s) + 9*k(s). Factor u(h).
-4*h*(h + 1)**2*(11*h - 2)
Suppose -34 = -4*g + 2*m, 2*m - 12 - 9 = -g. Factor 2*s - 9 - 4*s**3 - g*s + 3*s**3 + s**2 + 2*s**3.
(s - 3)*(s + 1)*(s + 3)
Suppose 25*w + 15*w = -36*w - 2962 + 3190. Find h, given that 0*h - 4/5*h**5 + 4/5*h**w + 0 + 8/5*h**2 - 8/5*h**4 = 0.
-2, -1, 0, 1
Let h(g) be the third derivative of -g**6/168 - 247*g**5/420 - 425*g**4/24 + 625*g**3/14 - 2*g**2 - 661. Factor h(o).
-(o + 25)**2*(5*o - 3)/7
Let h be 9539/(-45) + (-128)/160. Let a = h + 213. Suppose -4/9*o + 0 + a*o**2 = 0. Calculate o.
0, 2
Let y(i) be the second derivative of i**4/90 - 926*i**3/45 + 214369*i**2/15 + 198*i - 5. Solve y(z) = 0 for z.
463
Factor -860/17 + 2/17*c**2 - 426/17*c.
2*(c - 215)*(c + 2)/17
Let b(y) be the second derivative of -y**5/450 + y**3/45 + 86*y**2 + 30*y + 1. Let q(m) be the first derivative of b(m). Factor q(j).
-2*(j - 1)*(j + 1)/15
Determine y, given that 12*y**2 + 0*y**3 - 24 + 0*y - 3/2*y**4 = 0.
-2, 2
Let h(r) be the second derivative of 7*r**5/110 - 50*r**4/33 + 119*r**3/33 - 26*r**2/11 + 125*r + 4. Find y, given that h(y) = 0.
2/7, 1, 13
Let p(w) be the third derivative of 1/330*w**5 + 0 + 0*w + 2/33*w**4 + 0*w**3 + 258*w**2. Solve p(q) = 0 for q.
-8, 0
Let i(p) = 24*p**4 + 32*p**3 - 121*p**2 + 102*p. Let x(o) = -29*o**4 - 32*o**3 + 122*o**2 - 100*o. Let s(c) = -6*i(c) - 5*x(c). What is g in s(g) = 0?
0, 2, 28
Suppose l = 3*m - 9 + 37, 3*l - 48 = 3*m. Let g(s) be the first derivative of 4*s + l*s**2 - 24/5*s**5 + 20/3*s**3 - 5*s**4 + 7. Find o such that g(o) = 0.
-1, -1/2, -1/3, 1
Find l such that -101 - 6*l - 75 + 224 - 96*l**2 - 3*l**2 = 0.
-8/11, 2/3
Find i such that -8/5*i**2 - 4/5*i**3 + 8/5 + 4/5*i = 0.
-2, -1, 1
Solve -z + 91*z + 4*z**5 + 40*z**4 + 96 + 26*z + 156*z + 296*z**2 + 156*z**3 = 0 for z.
-3, -2, -1
Suppose 2*i = -2 + 6. Suppose 14*d - 206 = -80. Solve 20*p**2 - 3*p**4 + 9*p**3 + 13*p**i - 12 - d*p**5 - 18*p**4 = 0 for p.
-2, -1, 2/3, 1
Suppose -4*r + 0 = w - 1, 3*r - 5*w = -5. Suppose 485*q - 486*q + 2 = r. Find t such that -27/2 + 15/2*t**q + 3/2*t**3 + 9/2*t = 0.
-3, 1
What is d in 517*d + 705*d - 8*d**4 + 303*d**3 + 25*d**4 + 13*d**4 - 226*d + 408 - 3*d**5 + 858*d**2 = 0?
-2, -1, 17
Let x(t) be the second derivative of -t**7/70 - 14*t**6/25 + 573*t**5/25 + 672*t**4 - 23040*t**3 - 9111*t. Factor x(i).
-3*i*(i - 16)**2*(i + 30)**2/5
Let n = -6460/7 + 926. Factor -36/7 - 2/7*y**2 - n*y.
-2*(y + 2)*(y + 9)/7
Let t(w) = 29*w**2 - 24*w**2 - 30 - 32*w - 18 - 25*w**2. Let z(d) = -7*d**2 - 10*d - 16. Let o(y) = 3*t(y) - 8*z(y). Factor o(f).
-4*(f + 2)**2
Let b(x) be the second derivative of 1 - 8*x - 27/5*x**2 - 1/30*x**4 - 28/15*x**3. Solve b(u) = 0 for u.
-27, -1
Let v(g) be the second derivative of 0 - 16/3*g**4 - 58*g + 1/5*g**5 + 0*g**2 + 0*g**3. Factor v(t).
4*t**2*(t - 16)
Suppose -11*b = -117*b - 49*b + 465. Factor -5/3*m - 35/6*m**2 - 25/6*m**b + 0.
-5*m*(m + 1)*(5*m + 2)/6
Let g(z) = 4*z - 20. Let k be g(3). Let m be 8*(-6)/k*1. What is i in -i**4 - m*i**2 + i**3 - i - 3*i**2 + 8*i**2 + 2*i**4 = 0?
-1, 0, 1
Suppose -55*i + 85 = -38*i. Suppose -4*p - 28 = -2*m, 4*m + 10 = -i*p + 1. Factor -9*j**3 - 4/5*j - 5*j**m + 0 - 24/5*j**2.
-j*(j + 1)*(5*j + 2)**2/5
Factor 234*b**3 - 2524921/2 + 371826*b - 1/2*b**4 - 28967*b**2.
-(b - 227)**2*(b - 7)**2/2
Let t be ((-42)/18)/(-7) - (-20)/3. Factor -11*x**2 + 7*x**3 - t*x - 10*x**4 - x**2 + 7*x**4 + 12*x**3 + 10 - 7*x**2.
-(x - 5)*(x - 1)**2*(3*x + 2)
Suppose 3*k + 3*z = 6171, -2795 = 3*k - 2*z - 8951. Let p = k - 10266/5. Find u, given that -p*u**2 - 96/5*u - 576/5 = 0.
-12
Factor 745*p**4 + p**5 - 3*p**2 + 4*p**3 + 9*p**2 - 5*p - 751*p**4.
p*(p - 5)*(p - 1)**2*(p + 1)
Suppose 13*r = 4*r + 36. Factor -2*a + a**4 - 14*a**r - a**3 + 15*a**4 - 5*a**2.
a*(a - 2)*(a + 1)*(2*a + 1)
Let j(a) be the third derivative of a**5/30 + 233*a**4 + 651468*a**3 + a**2 + 435*a - 1. Factor j(k).
2*(k + 1398)**2
Factor -64 - 58/5*y**2 - 1132/15*y - 2/15*y**3.
-2*(y + 1)*(y + 6)*(y + 80)/15
Suppose -51*d + 9*d + 133 - 7 = 0. Let i(f) be the second derivative of -2*f + 0 + 0*f**2 + 1/39*f**d - 1/78*f**4. What is x in i(x) = 0?
0, 1
Let v be 0/((-15)/1)*1. Let j(n) be the third derivative of v - 3/5*n**5 + 7/6*n**4 - 4/3*n**3 - 14*n**2 + 1/6*n**6 + 0*n - 2/105*n**7. Factor j(i).
-4*(i - 2)*(i - 1)**3
Find j such that -6*j**4 + 6*j - 30*j**2 + 51/2*j**3 + 0 = 0.
0, 1/4, 2
Suppose -2*v - 3*v + h = -66, 5*v + 5*h = 30. Let n(o) be the second derivative of 0 + 14/3*o**3 - 1/3*o**4 - v*o**2 - 36*o. Factor n(k).
-4*(k - 6)*(k - 1)
Suppose 3*o = o + 56. Let f be 2212/o + (-2 + 1)*-1. Factor f - 34*j - 392*j**3 + 154*j + 45*j**2 + 397*j**3.
5*(j + 1)*(j + 4)**2
Suppose 90*o = 91*o + 5*l - 47, 6*l = -2*o + 58. Factor 0 - 2/5*x**o + 3/5*x**3 + 0*x.
x**2*(3*x - 2)/5
Suppose 11*a - 40*a = -16*a - 26. Let y(d) be the first derivative of 15/2*d**a - 3*d**3 - 15/4*d**4 + 12/5*d**5 - 3*d - 1. Let y(v) = 0. What is v?
-1, 1/4, 1
Let o(z) be the first derivative of -5*z**4/4 - 4235*z**3 - 10761135*z**2/2 - 3038227115*z + 1680. Factor o(f).
-5*(f + 847)**3
Let w(a) = a**2 - 28*a + 152. Let z be w(8). Let g be 6/51 - z/((-816)/(-39)). Factor 0 - 3/4*y**3 + 0*y + g*y**4 + 1/4*y**5 + 0*y**2.
y**3*(y - 1)*(y + 3)/4
Let s be (18/(-10))/((-2913)/(-4855)) - (-51)/15. Factor -s + 1/5*w + 2/5*w**2 - 1/5*w**3.
-(w - 2)*(w - 1)*(w + 1)/5
Let c = 8072 + -145295/18. Let j(i) be the second derivative of 1/36*i**4 - c*i**3 + 0*i**2 + 0 - 13*i. Factor j(v).
v*(v - 1)/3
Suppose -3*w = -3*y + 6, -4*y + 3*y - 7 = -4*w. Factor -10*q - 8*q**3 - 12*q**w + 26*q**2 - q**2 + 5*q**4.
5*q*(q - 2)*(q - 1)**2
Let x(v) be the first derivative of v**5/100 - v**4/6 + 2*v**3/5 + 36*v**2/5 - 56*v + 75. Let d(f) be the first derivative of x(f). Factor d(y).
(y - 6)**2*(y + 2)/5
Let v(q) = 428*q**2 - 2*q + 2. Let u be v(1). Factor u*i**2 - 1 - 216*i**2 - 211*i**2.
(i - 1)*(i + 1)
Let h(z) = -57*z**3 - 3829*z**2 - 761*z + 14. Let a(c) = 23*c**3 + 1915*c**2 + 381*c - 6. Let j(l) = 14*a(l) + 6*h(l). Factor j(o).
-4*o*(o - 192)*(5*o + 1)
Let z be (-87)/(-9) + 3795/(-495). Factor 2/5 + 6/5*q**z - 8/5*q.
2*(q - 1)*(3*q - 1)/5
Let q(b) be the first derivative of -4*b**5 + 45*b**4 + 65*b**3 + 25*b**2 - 588. Factor q(f).
-5*f*(f - 10)*(2*f + 1)**2
Suppose 342*i - 1805 + 350 = -143*i.