5/135 - 459*o**2 + o - 2. Solve h(z) = 0 for z.
-16, -2/7, 0
Suppose -3*s + 2*r = 18, -4*s + 362*r - 364*r + 46 = 0. Factor 35*t + 5*t**s + 5/3*t**5 - 15 - 50/3*t**2 - 10*t**3.
5*(t - 1)**3*(t + 3)**2/3
Let y = 187653 - 1313561/7. Factor -y*u - 2/7*u**2 - 8/7.
-2*(u + 1)*(u + 4)/7
Find a, given that 1/5*a**2 + 343/5*a + 1356/5 = 0.
-339, -4
Let w = -4012 + 4012. Let o(g) be the third derivative of w*g + 1/39*g**4 - 1/13*g**3 - 1/390*g**5 + 0 - 24*g**2. Let o(h) = 0. What is h?
1, 3
Factor -888/7*u + 2/7*u**2 + 98568/7.
2*(u - 222)**2/7
Let w be (-39)/340 + 64/640. Let a = w + 1499/204. Solve 4*b + 2/3*b**4 + a*b**2 + 0 + 4*b**3 = 0 for b.
-3, -2, -1, 0
Let d(y) = y**3 + 7*y**2 - 7*y - 65. Let j be d(-5). Let z(b) be the second derivative of -3*b**2 + 0 + j*b - 1/8*b**4 - b**3. What is c in z(c) = 0?
-2
Let h(r) be the second derivative of -1/12*r**4 - 1/120*r**5 + 17/2*r**2 + 3*r + 0 - 1/3*r**3. Let q(v) be the first derivative of h(v). Factor q(m).
-(m + 2)**2/2
Find t, given that 32*t**4 - 104*t**2 - 165*t**5 - 168*t**5 - 167*t**3 + 72 + 353*t**5 + 108*t + 39*t**3 = 0.
-3, -1, -3/5, 1, 2
Suppose 0 = -24*s + 1629 + 1299. Suppose -5*o - s = -132. Factor -36/5*n - 2/5*n**o - 162/5.
-2*(n + 9)**2/5
Let b(f) be the first derivative of f**4/14 - 4*f**3/7 - 36*f**2/7 - 80*f/7 - 698. Let b(z) = 0. Calculate z.
-2, 10
Let u(a) be the second derivative of -a**7/42 + a**6/30 + a**5/4 + a**4/4 - 3034*a. Factor u(b).
-b**2*(b - 3)*(b + 1)**2
Let b(i) be the first derivative of -i**3/9 - 89*i**2/3 + 181*i + 8372. Determine r so that b(r) = 0.
-181, 3
Let v(q) = -q**4 + 2*q**3 + 14*q**2 - 78*q + 48. Let s(l) = 3*l**4 - 6*l**3 - 44*l**2 + 230*l - 143. Let r(z) = -9*s(z) - 24*v(z). Find a such that r(a) = 0.
-5, 1, 3
Let x be 7 + (8 - (-7 - 984/(-45))). Let a(r) be the third derivative of 15*r**2 + 0 + 1/30*r**6 + x*r**5 + 0*r**3 + 1/6*r**4 + 0*r. Factor a(q).
4*q*(q + 1)**2
What is a in -803*a**2 - 1133*a**2 + 11209 - 11209 + 4*a**5 + 1760*a**3 + 172*a**4 = 0?
-22, 0, 1
Factor 3/7*j**4 - 15*j**2 - 96/7*j**3 + 0 + 198/7*j.
3*j*(j - 33)*(j - 1)*(j + 2)/7
Let m be -5*5/(-25) - -84. Factor -664 - 2216 - 90*g**3 - 2640*g + 235*g**2 + m*g**3.
-5*(g - 24)**2*(g + 1)
Let v(c) be the third derivative of 17/90*c**5 + 188*c**2 + 1/9*c**4 + 0*c**3 + 0*c + 1/105*c**7 + 0 + 4/45*c**6. Suppose v(y) = 0. What is y?
-4, -1, -1/3, 0
Let z(x) be the third derivative of 3*x**6/20 - 686*x**5/15 + 13148*x**4/3 - 23104*x**3/3 - 10445*x**2. Factor z(y).
2*(y - 76)**2*(9*y - 4)
Let y(f) be the first derivative of 20*f + 2/3*f**3 - 191 + 7*f**2. Factor y(i).
2*(i + 2)*(i + 5)
Let f(t) be the first derivative of 5*t**4/4 - 1235*t**3/3 + 2455*t**2/2 - 1225*t - 1531. Let f(r) = 0. Calculate r.
1, 245
Let h(m) = -3*m**2 - 480*m + 57556. Let y(q) = 8*q**2 + 960*q - 115090. Let b(s) = 10*h(s) + 4*y(s). Factor b(g).
2*(g - 240)**2
Let b(t) = -45*t**2 - 25*t - 10. Let v = -949 + 950. Let y(k) = -4*k**2. Let u(c) = v*b(c) - 20*y(c). Factor u(h).
5*(h - 1)*(7*h + 2)
Let w(p) be the first derivative of p**3/3 + 19*p**2 + 165*p - 493. Factor w(v).
(v + 5)*(v + 33)
Let b be (1/(11/(-165)*35))/(4/(-7)). Solve -b*n**2 - 36*n - 432 = 0 for n.
-24
Let h = -2057 - -2061. Let z(f) be the first derivative of -1/38*f**h - 3 - 4/19*f + 1/19*f**2 + 4/57*f**3. Factor z(m).
-2*(m - 2)*(m - 1)*(m + 1)/19
Let x = -656 + 660. Let u be 5/110*x + (-92)/(-220). Let -u*k**4 + 3*k**2 - 9/5*k**3 + 0 - 6/5*k + 3/5*k**5 = 0. Calculate k.
-2, 0, 1
Suppose 11*g + 7880 = 15*g. Let w = 25612/13 - g. Factor -2/13*f**3 + w*f + 0 + 0*f**2.
-2*f*(f - 1)*(f + 1)/13
Let s(c) be the third derivative of 4/3*c**3 + 1/20*c**5 - 1/210*c**7 - 133*c**2 + 0 + 1/30*c**6 + 0*c - 7/12*c**4. Factor s(t).
-(t - 4)*(t - 1)**2*(t + 2)
Suppose 1 = 3*r + 4*x - 9*x, -5*x = 3*r - 41. Factor r + 3*i**2 - 19 + 12.
3*i**2
Let x(c) be the third derivative of -7/12*c**5 + 5/336*c**8 + 16*c**2 + c - 1/42*c**7 + 25/12*c**4 + 0 + 20/3*c**3 - 11/24*c**6. Find f, given that x(f) = 0.
-2, -1, 1, 4
Let b(q) be the second derivative of q**6/1620 - q**5/60 + 2*q**4/27 - 11*q**3/6 - 3*q**2 + 137*q. Let g(o) be the second derivative of b(o). Solve g(s) = 0.
1, 8
Let o be (10 - (4 - 124/(-24)))/((-3)/(-6)). Factor -20*v**3 - o*v**5 + 0*v + 40/3*v**2 + 0 + 10*v**4.
-5*v**2*(v - 2)**3/3
Let t = 107596/5 - 21518. Solve 16/5 - 1/5*d**2 + t*d = 0 for d.
-2, 8
Let s(r) be the first derivative of -r**6/120 - r**5/10 - r**4/2 + 32*r**3/3 + 67. Let f(v) be the third derivative of s(v). What is c in f(c) = 0?
-2
Let m(c) = 10*c**4 - 325*c**3 + 2370*c**2 - 3825*c + 1750. Let i(g) = -25*g**4 + 812*g**3 - 5925*g**2 + 9562*g - 4376. Let h(y) = 5*i(y) + 12*m(y). Factor h(f).
-5*(f - 22)*(f - 8)*(f - 1)**2
Let x(m) be the second derivative of 2*m**7/49 - 16*m**6/105 - 12*m**5/35 + 10*m**4/7 - 2*m**3/3 - 12*m**2/7 - 5*m. Let x(f) = 0. Calculate f.
-2, -1/3, 1, 3
Let d(r) be the second derivative of r**4/20 - 23*r**3/10 + 198*r**2/5 - 427*r + 2. Determine f so that d(f) = 0.
11, 12
Let w = 1637/858 - 1481/858. Factor w*o**2 - 316/11*o + 12482/11.
2*(o - 79)**2/11
Factor 16*v**3 - 11*v + 28*v**2 + 220 - 103 - 145 - 5*v.
4*(v - 1)*(v + 1)*(4*v + 7)
Let b(v) be the first derivative of v**7/630 + v**6/18 - 43*v**5/180 + 11*v**4/36 + 88*v**2 - 51. Let s(u) be the second derivative of b(u). Factor s(f).
f*(f - 1)**2*(f + 22)/3
Let c(b) be the second derivative of b**5/5 - 371*b**4/3 + 69920*b**3/3 - 203136*b**2 - 13*b + 7. Determine g, given that c(g) = 0.
3, 184
Let w be (5/(20/128))/(-2 - -4). Let -16 + 4*o**3 + w*o**2 + 62*o - 44*o - 22*o = 0. What is o?
-4, -1, 1
Let r(f) be the second derivative of 0*f**2 - 1/6*f**4 + 0 - 4/15*f**3 + 41*f - 1/50*f**5. Determine l, given that r(l) = 0.
-4, -1, 0
Let z(w) be the third derivative of 48*w + 1/1176*w**8 + 0*w**5 + 1/21*w**4 + 0*w**7 + 0*w**3 + w**2 + 0 - 1/84*w**6. Solve z(o) = 0.
-2, -1, 0, 1, 2
Factor 99/2 - 397/4*t + 50*t**2 - 1/4*t**3.
-(t - 198)*(t - 1)**2/4
Let y(u) be the second derivative of -u**6/120 + u**5/20 + 11*u**4/16 - u**3/6 - 4*u**2 + 5*u + 20. Find z such that y(z) = 0.
-4, -1, 1, 8
Let c be ((-1225)/75 - -16)*0. Find g such that -25/2*g**4 - 352*g**2 - 1/2*g**5 + c - 108*g**3 - 256*g = 0.
-8, -1, 0
Let j(v) be the third derivative of -v**6/480 + 7*v**5/24 - 197*v**4/96 - 67*v**3/6 + 2*v**2 + 577*v. Factor j(u).
-(u - 67)*(u - 4)*(u + 1)/4
Let z(y) be the second derivative of 0 - 4/3*y**4 - 3/20*y**5 + 0*y**2 - 1/84*y**7 + 8/3*y**3 + 7/60*y**6 - 2*y. What is x in z(x) = 0?
-2, 0, 1, 4
Let q be ((-5 - -8) + (-5)/2)*-8. Let k be 8/(-3)*(-3)/q*-2. Factor -3*d**3 + 4 + 5*d**k - d**3 - 7*d**4 - 10*d + 6*d**2 + 6*d**3.
-2*(d - 1)**3*(d + 2)
Let v(l) = -2*l - 36. Suppose 57 = -4*x + 2*b - 25, x = 5*b - 34. Let q be v(x). Factor -15*k**3 + 17*k**2 - 2*k**q - 10*k + 29*k**3 - 19*k**3.
-5*k*(k - 2)*(k - 1)
Let d(t) = 3*t**2 - 2*t + 1. Let q(r) = 4*r**2 - 184*r + 754. Let c(g) = -2*d(g) + q(g). Let c(x) = 0. What is x?
-94, 4
Factor -4*l**3 - 565*l**2 - 1145*l - 453590 + 453015 + 9*l**3.
5*(l - 115)*(l + 1)**2
Let j = -470 - -479. Determine h, given that 3*h**5 - 9*h**2 - 3*h**3 - 53 + 16 + 15 + 22 + j*h**4 = 0.
-3, -1, 0, 1
Factor -481*v**3 + 5*v**4 + 0*v**5 - 89*v**4 + 2*v**5 + 1801*v**3 - 70477*v**2 + 61281*v**2 + 23958*v.
2*v*(v - 11)**3*(v - 9)
Let o(a) be the second derivative of -a**6/60 + 2*a**5/5 - 19*a**4/6 + 8*a**3 - 8066*a. Factor o(s).
-s*(s - 8)*(s - 6)*(s - 2)/2
Suppose -14 = -6*g + 4. Suppose -9 = -4*o + g*p + 2, o + 4*p + 2 = 0. Suppose 6 + 12*x - 6*x**o + x**3 - 14 + 0*x**3 = 0. Calculate x.
2
Let l(w) be the first derivative of -w**3 - w**2 - 1/4*w**4 + 0*w - 95. Factor l(x).
-x*(x + 1)*(x + 2)
Let m(y) be the third derivative of 5*y**7/14 + 9*y**6/8 - 63*y**5/10 - 29*y**4/2 - 12*y**3 - 1325*y**2. What is v in m(v) = 0?
-3, -2/5, 2
Let l(f) = -3*f**2 - 93*f + 92. Let m be l(-32). Let n(h) = h**3 + 3*h**2 - 44*h - 158. Let j be n(m). Factor 2/3*k**j + 0 - 4/3*k + 2/3*k**3.
2*k*(k - 1)*(k + 2)/3
Let c = -441934 + 441936. Solve -274/3*i - 68/3 - 8/3*i**c = 0.
-34, -1/4
What is i in -656*i - 577*i + 4*i**4 - 519*i + 2571*i - 647*i + 164*i**2 - 168 - 172*i**3 = 0?
-1, 1, 42
Let y(m) be the second derivative of m**7/21 - 7*m**6/15 - 3*m**5/10 + 19*m**4/6 + 14*m**3/3 - 178*m. Determine d so that y(d) = 0.
-1, 0, 