 + 36*q - o*q**5 + 0*q**2 - 4/15*q**3 + 0. Suppose h(z) = 0. Calculate z.
-2, -1, 0
Let s(c) = -c**3 - c**2 + c + 1. Suppose 44*h - 43*h + 10 = 0. Let y(j) = 12*j**3 + 34*j**2 + 44*j - 10. Let m(u) = h*s(u) - y(u). Let m(k) = 0. Calculate k.
-9, -3, 0
Let u = -2/26999 - -81001/53998. Determine k so that 27/2*k**2 - u*k**3 - 81/2*k + 81/2 = 0.
3
Let q(y) = -86*y - 169. Let g be q(-4). Let z be (150/g)/(12/21). Determine i so that 1/2*i**3 - 3/2 - 1/2*i + z*i**2 = 0.
-3, -1, 1
Let c = 965752 + -965750. Find m, given that -126/5*m**4 - 282*m**c + 4/5*m**5 + 1082/5*m**3 + 90*m + 0 = 0.
0, 1/2, 1, 15
Let l = 43612/327045 + -2/109015. Let 8/15*b**2 + 0 - l*b**4 + 2/15*b**3 - 8/15*b = 0. Calculate b.
-2, 0, 1, 2
Let -w**2 + 291*w + 233*w - 45397 - 15820 - 7427 = 0. What is w?
262
Let o(k) = 39*k - 289. Let y be o(-20). Let p = 1069 + y. Factor -5/6*z**2 + 0*z - 5/3*z**3 + p - 5/6*z**4.
-5*z**2*(z + 1)**2/6
Factor 486 + 297/2*b - 21/2*b**3 - 99/2*b**2 + 3/2*b**4.
3*(b - 9)*(b - 4)*(b + 3)**2/2
Factor 21*d**3 + 24/7 + 339/7*d + 174*d**2.
3*(d + 8)*(7*d + 1)**2/7
Let u(v) be the third derivative of v**8/3360 - v**7/420 + v**6/180 - 29*v**4/4 + 33*v**2. Let h(w) be the second derivative of u(w). Factor h(k).
2*k*(k - 2)*(k - 1)
Factor -29564*z**3 - 10*z**4 + 29520*z**3 + 52*z**2 + 2*z**4.
-4*z**2*(z - 1)*(2*z + 13)
Suppose 142*m - 24 = 139*m. Suppose 17*b - 42 = -m. Factor -2/3*t**4 - 2/3*t + 0 - 2*t**3 - 2*t**b.
-2*t*(t + 1)**3/3
What is n in 81/5 + 16*n - 1/5*n**2 = 0?
-1, 81
Factor 976*r**4 + 231*r - 654 - 6*r**2 - 1542*r - 316*r**4 + 904*r**5 + 1308*r**3 - 901*r**5.
3*(r - 1)*(r + 1)**3*(r + 218)
Let 9*u**3 + 57769 + 57800 - 24*u - 39*u**2 + 15*u**4 + 3*u**5 - 115533 = 0. What is u?
-3, -2, 1
Let b = 57 - 55. Let z(k) = -2*k**4 + 15*k**3 - 5*k**2 - 5*k. Let v(o) = -o**3 + o**2 + o. Let q(a) = b*z(a) + 10*v(a). Factor q(d).
-4*d**3*(d - 5)
Let x be 6 - (1656/(-63))/(-4) - 225/(-63). Let c be ((-2)/7)/(3/(-7)). Determine q so that -4/3*q**x + 2*q - 2/3 - 4/3*q**2 + 2*q**4 - c*q**5 = 0.
-1, 1
Let i be (-8 - -8) + -4 - 24*24/(-54). Suppose -i - 8/3*t**2 - 44/3*t = 0. Calculate t.
-5, -1/2
Suppose 0 = -3*m + 262 - 3001. Let k = -909 - m. Factor -g**3 + 8/3*g**2 - 2/3*g**k + 0 + 1/3*g**5 - 4/3*g.
g*(g - 2)*(g - 1)**2*(g + 2)/3
Let z(j) = 6*j**5 - 23*j + 31*j + 5 - 10*j**5 - 7*j**3 - 2. Let q(a) = 17*a**5 - 2*a**4 + 27*a**3 - 31*a - 11. Let h(m) = 6*q(m) + 26*z(m). Solve h(c) = 0.
-3, -2, -1, 1
Let o(x) be the third derivative of -x**4 - 1/60*x**5 - 13*x**2 - 24*x**3 + 0*x + 3. Factor o(g).
-(g + 12)**2
Let u(f) = -f**4 - f**3 - f**2 + f + 4. Let l(d) = -9*d**4 + 2*d**3 + 19*d**2 - 28*d + 32. Let m(q) = 5*l(q) - 40*u(q). Factor m(r).
-5*r*(r - 12)*(r - 1)*(r + 3)
Suppose 0*k + 20 = 3*k + 2*n, 0 = -5*k + 5*n. Suppose 9*o - 591 + 232 = -305. Find w such that -o*w**3 + 17/3*w**2 - 4/3 + 5/3*w**k + 0*w = 0.
-2/5, 1, 2
Let z be -5 + (-13)/((-117)/81). Let m(n) be the first derivative of n**2 + 1/14*n**z + 10/21*n**3 + 6/7*n - 6. Factor m(a).
2*(a + 1)**2*(a + 3)/7
Let n(q) = -6*q**2 + 557*q + 4944. Let u(v) = v**2 - 93*v - 824. Let t(m) = -8*n(m) - 52*u(m). Solve t(o) = 0 for o.
-8, 103
Let x(f) be the first derivative of -15/2*f**2 - 6*f + 7*f**3 - 23. Suppose x(y) = 0. What is y?
-2/7, 1
Let v(u) be the second derivative of -u**4/3 - 446*u**3/3 + 448*u**2 + 3*u + 317. Find t, given that v(t) = 0.
-224, 1
Let m = -9 - -13. Suppose -3*o - m*o + 35 = 0. Solve 2*k**2 - 3*k**2 + o*k**2 + 2*k - 2*k**2 = 0 for k.
-1, 0
Factor 0 - 130/3*t**2 + 2/3*t**3 + 124*t.
2*t*(t - 62)*(t - 3)/3
Let j(g) = 3*g**3 + 44*g**2 - 14*g + 24. Let u be j(-15). Suppose 28 + 495*x + u - 457*x + x**2 = 0. What is x?
-37, -1
Let v(i) = 6*i**2 - 34*i + 12. Let m(x) = 81 - 81 + 2*x**2. Let z(h) = -2*m(h) - v(h). Determine k so that z(k) = 0.
2/5, 3
Determine t, given that -18 + 28*t + 873*t**2 - 872*t**2 - 42 = 0.
-30, 2
Let h = -7 + 7. Suppose 5*y = 15, h*s + s + 5*y = 18. Factor -36*q**3 + 21*q - 5*q - 176*q**2 + 520*q**s.
4*q*(11*q - 2)**2
Let -57*r**5 + 106*r**5 - 52*r**5 - 138*r**2 + 3*r**4 - 63*r + 22*r**3 + 44*r**3 + 135 = 0. What is r?
-5, -1, 1, 3
Let t = -206 - -212. Let h be (-9*(-12)/810)/(t/27). Find o such that -2*o**2 - h*o - 3/5*o**3 + 0 = 0.
-3, -1/3, 0
Let d(c) be the first derivative of c**4/12 - 2*c**3/3 + 2*c**2 - 8*c/3 - 9996. Factor d(t).
(t - 2)**3/3
Suppose -4*q + 346*f = 343*f - 9, -2*f = -q + 1. Let a be -1 + q/3 + (-5 - -7). Factor -3/5 + 8/5*h + 16/5*h**a.
(4*h - 1)*(4*h + 3)/5
Let d(q) be the first derivative of 20*q**5 - 170*q**4 + 332*q**3 - 248*q**2 + 80*q - 938. Factor d(p).
4*(p - 5)*(p - 1)*(5*p - 2)**2
Let d be (-8)/(-34)*296/592 + 164/340. Determine h, given that 0*h**2 - d*h**5 + 0*h**3 - 3/5*h**4 + 0*h + 0 = 0.
-1, 0
Suppose -4*b + 3*r - 2372 = 0, 4*r = 138*b - 139*b - 593. Let k = 596 + b. Find m such that 0 - 2/5*m**k + 8/5*m**2 - 6/5*m = 0.
0, 1, 3
Let m(d) be the third derivative of -d**7/840 + 3*d**6/40 - 17*d**5/40 - 109*d**4/24 - 3*d**2 + 17*d. Let u(r) be the second derivative of m(r). Factor u(y).
-3*(y - 17)*(y - 1)
Let n(m) be the third derivative of -m**8/2184 - m**7/65 - 19*m**6/780 + 7*m**5/130 + 5*m**4/39 + 7489*m**2. What is l in n(l) = 0?
-20, -1, 0, 1
Let t(i) be the third derivative of -i**7/1470 - 19*i**6/840 - i**5/14 + 24*i**4/7 - 144*i**3/7 - 140*i**2 + 4. Factor t(y).
-(y - 3)*(y - 2)*(y + 12)**2/7
Let w(f) = -32*f + 35. Suppose -4*v - 36*v = -40. Let r be w(v). What is p in 3/2*p**2 - 1/2*p**r + 1/2*p - 3/2 = 0?
-1, 1, 3
Let d(b) = 19*b**3 + 158*b**2 - 328*b + 169. Let j(g) = -2*g**3 + g - 1. Let m(q) = 2*d(q) + 18*j(q). Determine p so that m(p) = 0.
-160, 1
Let x(c) be the third derivative of 1/210*c**5 + 1/420*c**6 - 15/7*c**3 + 0*c + 5*c**2 - 12 - 1/4*c**4. Suppose x(v) = 0. What is v?
-3, 5
Let a(w) be the third derivative of -186*w**2 + 0*w - 3/10*w**5 + 0 - 7/4*w**4 + 1/60*w**6 - 11/3*w**3. Determine j so that a(j) = 0.
-1, 11
Let a(p) be the first derivative of p**5/20 + 9*p**4/8 - 11*p**3 + 3*p**2 - 2*p + 105. Let d(v) be the second derivative of a(v). Solve d(n) = 0.
-11, 2
Let d(i) be the first derivative of 76 - 1/4*i - 1/12*i**4 + 11/24*i**2 - 2/9*i**3. Solve d(p) = 0.
-3, 1/2
Let p(t) be the first derivative of -2*t**3 + 0*t + 3/10*t**5 + 0*t**2 + 0*t**4 - 138. Factor p(y).
3*y**2*(y - 2)*(y + 2)/2
Let u(a) be the third derivative of 2/3*a**3 + 0 + 5/12*a**5 - 1/336*a**8 - 2/3*a**4 + 1/30*a**7 - 19/120*a**6 + 2*a - 49*a**2. Solve u(y) = 0.
1, 2
Suppose 5*q + 4*y = 2*q + 28, q + 4 = 2*y. Let m(c) = -8 + 1 + q + 4. Let l(i) = 2*i**2 - 6*i + 14. Let g(r) = l(r) - 10*m(r). Factor g(a).
2*(a - 2)*(a - 1)
Suppose -4*k + 0 - 29/3*k**3 + 32/3*k**2 - 1/3*k**5 + 10/3*k**4 = 0. Calculate k.
0, 1, 2, 6
Let f = 1/17121 - -1879/399490. Let c(s) be the second derivative of 0*s**5 + 0*s**3 + 1 - 1/14*s**2 + 2*s - f*s**6 + 1/42*s**4. Factor c(b).
-(b - 1)**2*(b + 1)**2/7
Let j = 1879 + -1885. Let w = j - -19/3. Factor 0*v - 1/3*v**3 + 1/3*v**5 - w*v**2 + 1/3*v**4 + 0.
v**2*(v - 1)*(v + 1)**2/3
Let b(h) be the second derivative of 576*h**2 + 1177/6*h**4 + 464*h**3 + 203/5*h**5 - 4 + 49/15*h**6 + 10*h. Factor b(m).
2*(m + 3)**2*(7*m + 8)**2
Let 292/3*i + 20*i**3 + 4/3*i**4 + 40 + 76*i**2 = 0. What is i?
-10, -3, -1
Let z(h) = -2*h**3 - 25*h**2 - 17*h + 3. Let c(o) = 5*o**3 + 50*o**2 + 35*o - 5. Let y(g) = 3*c(g) + 5*z(g). Factor y(a).
5*a*(a + 1)*(a + 4)
Let z(j) = j**2 - 241*j + 1641. Let k be z(7). Let g(l) be the first derivative of -5/3*l**k - 15/2*l**2 + 11 + 0*l. Determine y, given that g(y) = 0.
-3, 0
Factor 277*s**2 + 1923*s**2 - 580*s**2 + 296093*s + 3*s**3 - 75782*s + 434166.
3*(s + 2)*(s + 269)**2
Let d = -237299 - -237343. Determine o, given that 2/3*o**2 + d*o + 726 = 0.
-33
Let n(k) be the third derivative of 3*k - 1/12*k**4 + 19*k**2 + 0 - 1/168*k**8 + 2/15*k**5 - 1/10*k**6 + 0*k**3 + 4/105*k**7. Factor n(g).
-2*g*(g - 1)**4
Let s(v) = 10*v**2 + 45*v + 50. Let z(b) = -5*b**2 - 22*b - 24. Let y = 332 + -330. Let j(h) = y*s(h) + 5*z(h). Determine l, given that j(l) = 0.
-2
Let k(p) = -p**2 + p - 1. Let z(f) be the second derivative of -f**4/3 + f**3 - 12*f**2 - 59*f. Let u(h) = -6*k(h) + z(h). Suppose u(g) = 0. What is g?
-3, 3
Let f(p) = 495*p**2 - 130*p - 45. Let m(x) = -45*x**2 + 12*x + 4. Suppose -3*q - 9 - 3 = 0.